Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,2); m=3
The equation of the line is
(Simplify your answer. Type your answer in point-slope form.)

Answers

Answer 1

Answer:

y = 3x + 11

Step-by-step explanation:

y = mx + b

y = 3x + b

2 = 3(-3) + b

2 = -9 + b

b = 11

y = 3x + 11


Related Questions

if an advertisement is placed in 4 different places in vogue magazine and then runs for 5 issues, the number of opportunities to see would be: group of answer choices depends on the gross rating points for vogue. 15 20 10

Answers

If an advertisement is placed in 4 different places in vogue magazine and then runs for 5 issues, the number of opportunities to see would be 20

Opportunity to See reveals the typical frequency with which a person has encountered a specific advertising channel.

The OTS is used to assess the success of advertising campaigns along with the Gross Rating Point (GRP) and other information.

The OPS can be calculated using the formula below: The total number of individuals contacted is known as the net reach. The amount of people reached, regardless of the number, is known as the gross reach.

According to the question,

Number of places advertisement is placed = 4

Number of issues = 5

Therefore , Opportunities to see would be = 4 × 5

=> 20

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Is 5x/4-y/3 = 6 linear or non linear

Answers

Answer:

linear

Step-by-step explanation:

Answer:

To tell if a function is linear, simply look at the exponents of the variables "x" and "y". Both of these exponents will have to be one and only one (1), any other exponent will turn the function into non-linear. Radicals also count as exponents different than one, because they are fractional exponents. Since there are no radicals or exponents written in this equation, we can conclude that all variable exponents are one (1), hence it's a linear equation.

What’s the remainder
177R[?]
52 9234

Answers

The remainder when 9234 is divided by 52 is 30

the quotient is 177 R 30

What is quotient, in math?

Division is onw of the mathematical operators that is applied in sharing.

The quotient is the result of dividing two numbers by each other, the number being divided is the dividend while the number dividing is the divisor.

As in the case of 9234 is being divided by 52, the dividend is 9234, while the divisor is 52 the result of the division is the quotient.

the division is done to get

9234 / 52

= 177 30/52

the remainder from the division involving 9234  and 52 is 30, the mixed number is 177 30/52

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What are the coefficients in the following expression x^2+2x-5xy-y+3y^4

Answers

Answer:

1,2,-5,-1,3

Step-by-step explanation:

the coefficients are the numbers before the variables (x and y)

if there is nothing infront of the variable then the coefficient is 1

if there is only a negative sign infront of the variable then the coefficient is -1

Jessica’s is making $300 less than four times what she was making when she started working. Let s represent her starting salary. Write an expression showing how much Jessica is making now in terms of her starting salary, s. Show work.

Answers

Answer:

4s-$300

Step-by-step explanation:

Two pieces of information given describe Jessica's salary in relation to her starting salary.  This information is that she makes nearly four times her starting salary (multiplication) and the exact amount she is short of exactly four times is $300 (subtraction).  As with the order of mathematical operations, start with multiplication, then put the subtraction into the expression.

s

4s

4s-$300

This final expression shows how much she is making now in terms of her starting. salary

What is the equation, in stanard form, of a parabola that models the values in the table x-3 0 2 f(x) -8 -2 -28

Answers

The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.

Given that,

The values of the x are -3,0,2 and the f(x) are -8,-2,-28

We have to find the equation of the parabola with the x and f(x) values.

We know that,

The equation of the parabola of the form f(x) = ax²+bx+c

So,

-3a-3b+c=-8 ----->equation(1)

c=-2

2a+2b+c=-28 ------>equation(2)

Substituting c=-2 in equation(1) and equation(2)

-3a-3b-1+8=0

-3a-3b+7=0 ------>equation(3)

2a+2b-2+28=0

2a+2b+26=0 ------>equation(4)

Subtracting 2×equation(3) and 3×equation(4)

                               b=5

Substituting in equation(1)

a=7

Therefore, The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.

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A line has a slope of -9 and includes the points (2, w) and (1, 7). What is the value of w?

Answers

Answer:

-2

Step-by-step explanation:

y=-9x+b

7=-9+b    b=16

w=-9*2+16

w=-2

Find x
NOTE: Angles not necessarily drawn to scale.

Answers

Answer:

148 degrees

Step-by-step explanation:

b/c a line is 180 degrees and the angle given is 32 so 180- 32= 148

and the line is bisected at point p so it is 148 because of alternate interior angles.




WILL MARK BRAINLIEST ‼️‼️

MULTIPLE CHOICE‼️

Which equation illustrates the identity property of multiplication?

Answers

Answer:

C

Step-by-step explanation:

Anything multiplied by one is itself...its identity

given the following prices and unit conversions, rank the brands from lowest to highest unit price.brand a: $1.48 for 2.5 poundsbrand b: $1.30 for 907.18 grams; 1 pound is approximately 453.59 gramsbrand c: $1.55 for 50 ounces; 1 pound is equal to 16 ouncesa.brand a, brand b, brand cb.brand a, brand c, brand bc.brand b, brand a, brand cd.brand c, brand a, brand b

Answers

The correct order for the lowest to highest unit price is:

Brand C < Brand A < Brand B.

In this question we have been given the prices and unit conversions.

We need to rank the brands from lowest to highest unit price.

Brand A: $1.48 for 2.5 pounds

Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams

Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces

Given that:

1 pound = 453.59 grams

And 1 pound = 16 ounces

After conversion:

2.5 pounds = 2.5x16 ounces

                  = 40 ounces

and 907.18 grams = (907.18x16/453.59) ounces

                             = 32 ounces

Now we find the unit price for each brand by unitary method.

Brand A: $1.48 for 40 ounces

so, the unit price = 1.48/40

                          = $0.037 per ounce

Brand B: $1.30 for 32 ounces

unit price = 1.30/32

                = $0.041 per ounce

Brand C: $1.55 for 50 ounces

Unit price = 50/1.55

                = $0.031 per ounce

Therefore, The order for lowest to highest unit price:

Brand C < Brand A < Brand B

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Use pentagon ABCDE to answer the following. What are the coordinates of B after the pentagon is rotated 90 degrees about the origin?

Answers

The coordinates of B after the rotation of 90 degrees about the origin is (c) (-5, 1)

How to determine the coordinates of B after the rotation

The figure of the pentagon missing in the question is added at the end of this solution as an attachment

From the question, we have the following parameters that can be used in our computation:

Coordinate of point B = (1, 5)

Also, from the question, we have the transformation to be

Rotation of 90 degrees about the origin

Mathematically, the rotation of 90 degrees about the origin can be represented as

(x, y) → (-y, x)

Substitute the known values in the above equation, so, we have the following representation

Coordinate of point B after rotation = (-5, 1)

Hence, the coordinate of point B after the rotation is (c) (-5, 1)

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What is the slope of the line?
-3
3
-1
1

Answers

By analyzing the given line mathematically, we get the required slope of the line as 3.

What is Slope ?

A line's steepness and direction can be expressed as a value called slope. It is frequently represented in variable format by the letter m. Its gradient or rate of change are other names for a line's slope.

The rise over run or slope formula, often known as the vertical change in y divided by the horizontal change in x, To determine the change in y over the change in x, the slope formula requires two points, (x1, y1) and (x2, y2).

As from the Line,

Two points = (1,2), (2,5)

(x1, y1) = (1,2)

(x2,y2) = (2,5)

Using two point we can calculate slope as

= [tex]\frac{y2-y1}{x2-x1}[/tex]

Putting the points in the formula, we get:

[tex]\frac{5-2}{2-1}[/tex]

= 3

Hence, we get the required slope as 3.

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The table and grab below shows the distance travel between two different objects which statement is correct about the speed of the two objects

Answers

The statement which is correct about the speed of the two objects is both travel at steadily increasing speed.

What is meant by direct relation?

A direct relation exists when the two variables rise or fall together. In a straight link, as X rises, Y rises as well. A straight relationship will always have a positive slope on a graph.

What is speed?

Speed is the pace at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The graph shows the direct relation that means with increasing time and distance speed will increase. Moreover, the table also shows direct and increasing relation about the speed of two objects so the statement both travel at steadily increasing speed is correct.

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10, 12, 11, 13, 14, 12, 13, 14, 13, and 12 find the mean.

Answers

The mean of the given data is 12.4

What is mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values.

Given that, a data, 10, 12, 11, 13, 14, 12, 13, 14, 13, and 12

Arranging the data in ascending order, 10, 11, 12, 12, 12, 13, 13, 13 14, 14

The sum is = 10+12+11+13+14+12+13+14+13+12 = 124

Total number of data = 10

Mean = sum of the numbers/ total numbers of data

Mean = 124/10

Mean = 12.4

Hence, the required mean is 12.4

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in a recent survey 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen find the probability that 8 of them favor building the health center

Answers

The probability of those that favors building the health center is 0.196

What is probability?

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.

In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.

According to the scenario, 70% of the community favoured in building a health centre.

Hence , p=0.7.

In order to find the probability, binomial theorem will be used as follows :

= 0.196

Hence, The probability is 0.196

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Given the drawing as shown below and that p parallel q, which of the following cannot be supported?​

Answers

Answer: It's B

Step-by-step explanation:

It shows that Angle B is congruent to angle g but it actually isnt

Answer:

B.  ∠b ≅ ∠g

Step-by-step explanation:

Supplementary angles

Two angles whose measures sum to 180°.

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

Same-side Interior Angles Theorem

When two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

------------------------------------------------------------------------------------------

Statement A

∠f and ∠h are vertical angles.  Therefore, according to the Vertical Angle Theorem, ∠f ≅ ∠h.

Statement C

As ∠d and ∠h are the interior angles on the same side of the transversal [tex]\ell[/tex], according to the Same-side Interior Angles Theorem, ∠d and ∠h are supplementary.

Statement D

∠a and ∠b are a linear pair, therefore ∠a and ∠b are supplementary.

Therefore, Statement B cannot be supported by the evidence shown.

What is 9/12 in simplest form? A 2/3 B 3/4 C 12/16 D 10/13

Answers

3/4 is 9/12 in simplest form.

What is 9/12 in simplest form?The simplest form of 9/12 is 3/4.To reduce a fraction to its simplest form, you need to divide the numerator and denominator by the same number until it cannot be divided further.In this case, both 9 and 12 can be divided by 3, which results in the fraction 3/4.To divide a fraction by a number, you need to divide the numerator by the number and divide the denominator by the same number. For example, if you divide 9/12 by 3, you would get 3/4.This is because when you divide 9 by 3, you get 3, and when you divide 12 by 3, you get 4.The other fractions given (2/3, 12/16, and 10/13) are not the simplest form of 9/12 and therefore are not the answer.The simplest form of 9/12 is 3/4.

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Given a2 = 7 and a5 = −56 of a geometric sequence, what is the recursive equation for the nth term? a an = 2(an − 1), a1 = 3.5 b an = 2(an − 1), a1 = −3.5 c an = −2(an − 1), a1 = 3.5 d an = −2(an − 1), a1 = −3.5

Answers

Answer: an=-2(an-1), a1=3.5

Step-by-step explanation: took the quiz and got it right

An = -3.5(-2)ⁿ⁻¹ and -3.5  are the Nth and first terms of the above sequence, respectively.

What is Geometric sequence?

Every term in a geometric series is obtained by multiplying the term before it by the same number. Aₙ = a₁ rⁿ⁻¹ is the general phrase for it. The common ratio is denoted by the number r.

Given a₂ = 7 and a₅ = −56 for a geometric sequence.

From the general formula of geometric sequence's nth term

Aₙ = a₁ rⁿ⁻¹

Thus

A₂ = 7 = a₁ r²⁻¹ = a₁ r

A₅ = -56  =  a₁ r⁵⁻¹ = a₁ r⁴

comparing both equations

A₂/ A₅ = a₁ r /  a₁ r⁴

=>  -7/56 = 1/r³

=> r³ = -8

=> r = -2

putting this value of r in equation 1

a₁ = -7/2

Hence, for the nth term of the sequence

Aₙ = -7/2(-2)ⁿ⁻¹

Therefore, the Nth term and the first term of the given sequence are Aₙ = -3.5(-2)ⁿ⁻¹ and -3.5 respectively.

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The variation in temperature (in Celsius) of the kinematic viscosity (in m? /s) of some synthetic oil was found to be as follows: T = 10 20 40 60 80 100 120 M = 2.5 X 10-: 5.1 X 10-4 0.95 X 10-4 4.98 X 10-5 2.12 X 10-5 1.05 10-s 5.87 X 10-6 1 We will develop best fit of this data to the exponential function / = exp (~b/T): (a) Use a linear regression analysis to determine the parameters and b Hint: yOu will need to transform the data as preliminary step. See the table in the notes regarding the details of this. Additionally you will need to transform the T data because of the -1/T in the fit function_ (b) Plot the transformed data and linear regression curve on the same graph:

Answers

a) Using a linear regression analysis, the parameters a and b can be found by transforming the data as follows:

log(M) = log(a) - b/T

log(M) log(2.5 x 10-4) log(5.1 x 10-4) log(0.95 x 10-4) log(4.98 x 10-5) log(2.12 x 10-5) log(1.05 x 10-5) log(5.87 x 10-6)

T 10 20 40 60 80 100 120

1.3979 0.6989 -0.0041 -1.2998 -2.1245 -2.9594 -3.7697

Using the transformed data, a linear regression analysis can be used to find the parameters a and b.

b) Plotting the transformed data and the linear regression curve on the same graph:

c) Using the same graph to plot the data and the best fit exponential curve:

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How could you organize the weighting and grades information differently so that Oscar's and Reagan's final grades are given by WG?

Answers

Answer i just need points

Step-by-step explanation: maybe 90

using the least-squares regression line, calculate the predicted value and residual value for the data point where the non-native grass biomass is equal to 35 and the coastal sage scrub biomass is equal to 20. give your answers precise to three decimal places.

Answers

By using the least-squares regression line the equation will be y = 1.518x + 0.305.

Let us find the value of slope and y-intercept that suits the data y = mx + b

And then , we have to find the value of x² ,∑x,∑y,∑x²,∑xy also N

Then, we have to calculate the slope m

m = n∑(xy) - ∑x ∑y / n ∑(x²) - (∑x)²

= 5 X 236 -26 X 41 / 40 - 676

= 249 / 164

= 1.5183

Then , we hace to calculate the intercept b

b = ∑y - m∑x / n

= 41 - 1.5183 X 26 / 5

= 0.3049

After this we have to assemble it in the equation of line

y =mx + b

Therefore ,

y = 1.518x + 0.305

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The proportion of households that own mutual funds but not individual stocks or individual stocks but not mutual funds is a. 40%. b. 60%. c. 80%. d. 100%

Answers

The proportion of households that own mutual funds but not individual stocks or individual stocks but not mutual funds is in option (b) 60%.

Proportion: Two ratios are said to be proportional if they express the same relationship.

Given that:

P (households owning mutual funds) = 60% = 0.6

P (households owning individual stocks) = 40% = 0.4

P (households owning both mutual funds and individual stocks) = 20% = 0.2

P (households that own mutual funds but not individual stocks or individual stocks but not mutual funds)

= P(A) only + P(B) only = [P(A) - P(A∩B)] + [P(B) - P(A∩B)]

= 0.4 + 0.2 = 0.6 = 60%.

Please refer to this complete question:

In a certain town, 60% of the households own mutual funds, 40% own individual stocks, and 20% own both mutual funds and individual stocks. The proportion of households that own mutual funds but not individual stocks or individual stocks but not mutual funds is

a. 40%.

b. 60%.

c. 80%.

d. 100%

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A satellite encircles Mars at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is A)Zero B)the same C)1/3 D)1/16

Answers

The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars is (D) 1/16.

The term Acceleration defined as the gravity at the surface of Mars is given by the formula

Gₙ = GM/R²

where

M refers mass of Mars

R refers radius of Mars

Here we need to find if we take a point which is at height 3 times the radius of Mars from its surface.

While we take the height 3 times the radius of Mars from its surface.

The it can be written as,

=> Gₙ = GM/(3R + R)²

When we expand it then we get.

=> Gₙ = GM/16R²

Therefore, the resulting gravity on the surface of the mars is 1/16.

So, the option (D) is correct.

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An online streaming service charges a monthly fee as well as a one-time sign-up fee. The cost for this online streaming service is modeled by the following function where m represents the number of months the service is subscribed to and C(m) represents the total cost given that amount of time:

C(m) = 13m + 9

In the above function, what is the slope?

What is the y-intercept?

How do we interpret the slope of this function?

How do we interpret the y-intercept of this function?

Answers

The slope of the given line is 13 and the y - intercept of the line is 9.

What is equation of line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

Consider, the given equation of line,

C(m) = 13m + 9

We have to find the slope and y - intercept of the given equation.

From the given equation the slope of the equation is 13 and the y - intercept is 9.

Consider, the general equation of line

y = mx + c

where,

m is the slope of line and

c is the y - intercept of the line.

Compare the given equation C(m) = 13m + 9 with, y = mx + c

⇒  m = 13 and c = 9

Hence, the slope of the given line is 13 and the y - intercept of the line is 9.

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What is the answer for identifying the slope and Y intercept for this graph ?

Answers

Slope is -2 and intercept is 3.
The y intercept is where the equation meets the y axis

Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 5 population means are not all equal. We should expect that
all 10 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 5 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 3 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

Answers

When Null hypothesis is rejected in ANOVA then we expect that at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

In an ANOVA, the absence of a mean difference is always the null hypothesis.

If the test statistic from the table exceeds the F critical value with degrees of freedom in the k-1 numerator and N-k denominator, the null hypothesis will be rejected.

The means of all the groups are not equal, one deduces if the null hypothesis is rejected. Post-hoc analyses reveal to the researcher which groups differ from one another.

The goal of an ANOVA is to find out if there is a statistically significant difference between the groups if yes then at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

Option (d) is correct

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Solve the inequality for x.
2(4x+9) ≤5x+3

Answers

I think the answer is X is less than or equal to negative five.

let x represent the full height of a certain species of tree. assume that x has a normal probability distribution with mean 224.4 ft and standard deviation 44.7 ft.

Answers

The mean of the distribution of sample means x has a normal probability distribution is μ = 224.4 ft .

Given :

let x represent the full height of a certain species of tree. assume that x has a normal probability distribution with mean 224.4 ft and standard deviation 44.7 ft .

What is mean ?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers .

we know that ,

Mean = sum / number of

so here given  μx = 224.ft which is nothing but the mean .

so  μx =  μ = 224.4 ft

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8.

supplementary angles. If
m

m

Answers

Answer:

Do u like m&m because I do

Hurry please

Which line has a y-intercept of 2 and an x-intercept of -3?

W.

X.

Y.

Z.

Answers

Answer:

The answer is going to be y because you can see that it hits 2 on the y-intercept and -3 on the x-intercept

Step-by-step explanation:

Here is the one that you need

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Which type of healthcare involves getting an annual physical exam, regular checkups, and screenings? the equal employment opportunity commission (eeoc) has completed its investigation regarding jeremiah's discrimination case against his employer. if the eeoc decides not to sue his employer, it will issue jeremiah a . What profession did poes mother have before she died of tuberculosis? According to Yalom, the concern(s) that make(s) up the core of existential psychodynamics is/are:(a) death.(b) freedom.(c) isolation.(d) meaninglessness.(e) Correct all of these options An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips. If there is clear evidence that this proportion is less than 0.10, she will accept the shipment. To reach a decision, she will test the hypotheses H0: p = 0.10 versus Ha: p < 0.10. To do so, she selects a simple random sample of 150 potatoes from the more than 3000 potatoes on the truck. Only 8 of the potatoes sampled are found to have major defects. What is the value of the large-sample z statistic?An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips. If there is clear evidence that this proportion is less than 0.10, she will accept the shipment. To reach a decision, she will test the hypotheses H0: p = 0.10 versus Ha: p < 0.10. To do so, she selects a simple random sample of 150 potatoes from the more than 3000 potatoes on the truck. Only 8 of the potatoes sampled are found to have major defects. Compute the value of the large-sample z statistic. What is the P-value for this hypothesis test? a. what is the last day that kathy can purchase the stock (trade date) and still receive that dividend? b. what day does this stock begin trading ex dividend? 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To discourage the reader from viewing the leaders of the United States as tyrannical which of the founding fathers wrote the rough draft of the declaration of independence? the nurse says that your lab results look okay, but she seems worried and she looks you in the eye a little longer than usual with an expression that seems to convey concern. the idea that we pay attention both to what people say and how they behave is called: Rutherford used positively charged particles to investigate the structure of the atom. The results surprised him, and he developed the atomic model shown below.A purple ball in the center surrounded by overlapping concentric black ovals, each with a small green ball on each of the 6 ovals.What surprising result is explained using this model?A few positive particles bounced back because they bounced off of the net formed by the ovals.A few positive particles bounced back because they were pushed away from the positive center.Most positive particles passed through because of the empty space between the outer edge and the center.Most positive particles passed through because they were attracted by the small particles moving around the center. Lithium oxide is used to absorb carbon dioxide:Li2O(s) + CO2(g) Li2CO3(s)What volume of CO2 can 6.77 g of Li2O absorb if the CO2 pressure is 3.5 104 atm and the temperature is 295 K? he button provides an automatic means of checking for mathematical errors within formulas of a worksheet. every morning, ms. santos dictates a vocabulary word, including its spelling, meaning, and an example of it used in a sentence. which teaching method does this best illustrate? g two nuclei of 40ca (atomic number 20) undergo fusion to form a nucleus of 80 zr (atomic number 40). the total binding energy of 40ca is b. what would be the best estimate for the total binding energy of 80 zr? relationship-oriented member behaviors that reduce tensions, increase solidarity, and facilitate teamwork are: If the value of the United States dollar increases on the foreign exchange market, which of the following is most likely to occur in the short run?(A) Aggregate demand will decrease.(B) Aggregate demand will increase.(C) Aggregate supply will decrease.(D) Both aggregate demand and aggregate supply will decrease.(E) Both aggregate demand and aggregate supply will increase. There is nothing that can be done about a threat of violence because the act of violence has not actually occurred and cannot be punished. if you come down with the flu, your body will launch an immune attack against the flu virus. during the effector phase of the adaptive immune response, even as late as the1980s, the medical establishment thought that ulcers were caused by stress and the increase in gastric acidity. how has the current understanding of ulcer development changed patient treatment, compared to treatments before 1980?