Answer:
A.) As x increases, the rate of change of g exceeds the rate of change of f
Step-by-step explanation:
Let's take the options given and look at them to actually know which is true.
Option A
We notice that as x increase in value the rate of change of g starts exceeding the rate of change of f.
Then it's exceeds it from the value x = 5
Option B
At x= 4.39
F= 2616.689
G= 2606.657
They are different values
Option C
That's opposite of option A
But option A is true which signify option C to be false
Option D
Not true also.
We can see from x= 0 to 4 the rate of change of F exceeds that of G
Find the degree of the monomial.
s8t
The degree is
Answer:
Step-by-step explanation:
the degree of 8^8t
16777216t : the degree of the mnonmial is 1, because the degree of the variable is 1
Using a sample of 60 undergraduates, Dr. Hotchkins discovers a negative correlation between stress and emotional well-being. While looking at a scatterplot of the data, Dr. Hotchkins realizes there are 4 outliers in the data, all for individuals with extremely high scores on stress and extremely high scores on well-being. What is the effect of these outliers on the correlation
Answer and explanation:
A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa
An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)
Find the area of the following shape. Please show work.
Answer:
Step-by-step explanation:
The area of a triangle is given by the formula:
● A = (b×h)/2
b is the base and h is the heigth.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Draw the heigth. This gives you two small right triangles.
Let's focus on the right one containing 45°.
● sin 45° = h/8
● h = sin 45° × 8 = 4√(2)
■■■■■■■■■■■■■■■■■■■■■■■■■■
Replace h by its value in the area formula. The base is 17
● A = (17× 4√(2))/ 2
● A = 34√(2)
● A = 48.08
Round to the nearest unit
● A = 48
Answer:
Area = 48 sq. units
Step-by-step explanation:
will make it short and simple.
area of a triangle = 1/2 * a * b * sinФ
area = 1/2 * 17 * 8 * sin(45°) = 48 sq. units
If an arrow is shot upward on Mars with a speed of 62 m/s, its height in meters t seconds later is given by y = 62t − 1.86t². (Round your answers to two decimal places.) Estimate the speed when t = 1. Can you please show me the steps to solve this?
Answer:
Approximately [tex]58.28\; \rm m \cdot s^{-1}[/tex].
Step-by-step explanation:
The velocity of an object is the rate at which its position changes. In other words, the velocity of an object is equal to the first derivative of its position, with respect to time.
Note that the arrow here is launched upwards. (Assume that the effect of wind on Mars is negligible.) There would be motion in the horizontal direction. The horizontal position of this arrow will stays the same. On the other hand, the vertical position of this arrow is the same as its height: [tex]y = 62\, t - 1.86\, t^2[/tex].
Apply the power rule to find the first derivative of this [tex]y[/tex] with respect to time [tex]t[/tex].
By the power rule:
the first derivative of [tex]t[/tex] (same as the first derivative of [tex]t^2[/tex] (same as [tex]t[/tex] to the second power) with respect toTherefore:
[tex]\begin{aligned}\frac{dy}{d t} &= \frac{d}{d t}\left[62 \, t - 1.86\, t^2\right] \\ &= 62\,\left(\frac{d}{d t}\left[t\right]\right) - 1.86\, \left(\frac{d}{d t}\left[t^2\right]\right) \\ &= 62 \times 1 - 1.86\times\left(2\, t) = 62 - 3.72\, t\end{aligned}[/tex].
In other words, the (vertical) velocity of this arrow at time [tex]t[/tex] would be [tex](62 - 3.72\, t)[/tex] meters per second.
Evaluate this expression for [tex]t = 1[/tex] to find the (vertical) velocity of this arrow at that moment: [tex]62 - 3.72 \times 1 =58.28[/tex].
Answer:
58.28 m/s
Step-by-step explanation:
y = 62t - 1.86t²
Speed, S = dy/dt = 62 - 2(1.86)t
S = 62 - 3.72t
When t = 1
S = 62 - 3.72 = 58.28 m/s
Hi how do I solve this simultaneous equation
Answer:
for the first one find a common dinominator which is 6 because you multiplied 2 times 3 which is 6 you have to do the same for the top so 3 multiplyed by 3 is 9 than the same for the other side than for x
Step-by-step explanation:
Find all the solutions to \[\frac{x+4}{x+5} = \frac{x-5}{2x}.\][tex]Find all the solutions to\[\frac{x+4}{x+5} = \frac{x-5}{2x}.\][/tex]
Answer:
x = -4 + 3 i or x = -4 - 3 i
Step-by-step explanation:
Solve for x:
(x + 4)/(x + 5) = (x - 5)/(2 x)
Hint: | Multiply both sides by a polynomial to clear fractions.
Cross multiply:
2 x (x + 4) = (x - 5) (x + 5)
Hint: | Write the quadratic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
2 x^2 + 8 x = (x - 5) (x + 5)
Hint: | Write the quadratic polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
2 x^2 + 8 x = x^2 - 25
Hint: | Move everything to the left hand side.
Subtract x^2 - 25 from both sides:
x^2 + 8 x + 25 = 0
Hint: | Using the quadratic formula, solve for x.
x = (-8 ± sqrt(8^2 - 4×25))/2 = (-8 ± sqrt(64 - 100))/2 = (-8 ± sqrt(-36))/2:
x = (-8 + sqrt(-36))/2 or x = (-8 - sqrt(-36))/2
Hint: | Express sqrt(-36) in terms of i.
sqrt(-36) = sqrt(-1) sqrt(36) = i sqrt(36):
x = (-8 + i sqrt(36))/2 or x = (-8 - i sqrt(36))/2
Hint: | Simplify radicals.
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (-8 + i×6)/2 or x = (-8 - i×6)/2
Hint: | Factor the greatest common divisor (gcd) of -8, 6 i and 2 from -8 + 6 i.
Factor 2 from -8 + 6 i giving -8 + 6 i:
x = 1/2-8 + 6 i or x = (-8 - 6 i)/2
Hint: | Cancel common terms in the numerator and denominator.
(-8 + 6 i)/2 = -4 + 3 i:
x = -4 + 3 i or x = (-8 - 6 i)/2
Hint: | Factor the greatest common divisor (gcd) of -8, -6 i and 2 from -8 - 6 i.
Factor 2 from -8 - 6 i giving -8 - 6 i:
x = -4 + 3 i or x = 1/2-8 - 6 i
Hint: | Cancel common terms in the numerator and denominator.
(-8 - 6 i)/2 = -4 - 3 i:
Answer: x = -4 + 3 i or x = -4 - 3 i
19 x97 find the product using suitable properties
Answer:
19 x 97 = 1843
Please help, 50 points! :) Please do all parts
you WILL get brainiest
PDF attached below
1. The first step here is to arrange the data set's form least to greatest,
Sherelle: 26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72, 73, 74, 75, 81, 83, 84, 85
Venita: 44, 45, 51, 51, 53, 53, 55, 57, 58, 62, 65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Now we can determine our 5 - number summary based on the numbers respective positions.
First Data Set,
(Five - Number Summary) - Minimum : 26, Quartile 1 : 60, Median : 69.5, Quartile 3 : 75, Maximum : 85
Second Data Set,
(Five - Number Summary) - Minimum : 44, Quartile 1 : 53, Median : 63.5, Quartile 3 : 73, Maximum : 79
2. This part is based on your drawings of the box and whisker plots, so you would have to figure that part out by yourself.
3. First off we know that our data set is composed of the years from 1900, so let's rewrite the set based off of the actual year -
Sherelle: 1926, 1939, 1956, 1958, 1960, 1962, 1965, 1966, 1966, 1968, 1971, 1972, 1972, 1973, 1974, 1975, 1981, 1983, 1984, 1985
Venita: 1944, 1945, 1951, 1951, 1953, 1953, 1955, 1957, 1958, 1962, 1965, 1966, 1969, 1969, 1970, 1973, 1975, 1977, 1978, 1979
( a ) Now in Sherelle's defence, she can say that the lowest coin date in her group is 1926, comparative to Venita's group - the lowest coin date in hers being 1944. Therefore, she is more likely to have the 1916 coin, after all that date is the lowest overall in both their data set.
( b ) In Venita defence, she can say that the mean of her data set is lower than the mean of Sherelle's data set. Take a look at the calculations below,
Sherella's Mean : [tex]\frac{39336}{20}[/tex] = [tex]\frac{9834}{5}[/tex] = 1966.8,
Venita's Mean : [tex]\frac{39250}{20}[/tex] = [tex]\frac{3925}{2}[/tex] = 1962.5
( c ) I would say Sherella's bag would most likely contain the 1916 coin. The mean is a prominent factor, but their mean(s) only differ by a very small quantity. That too, Sherella's bag contains the lowest coin in both their groups, and though that is not a prominent factor, it could be that she does have the 1916 coin.
What is the value of 5^4/5^6
Answer:
1/25 or 0.04
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
5 to the 4th power (5 × 5 × 5 × 5) is 625.
5 to the 6th power (5 × 5 × 5 × 5 × 5 × 5) is 15625.
625/15625 = 0.04.
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
How would you write Twice the difference of 9 and a number.
Answer:
Hey there!
You would write that as 2(9-n), where n is the number.
Hope this helps :)
can someone explain this please?
Answer:
Hey there!
Our equation can be: 2y+3=4y+2
Hope this helps :)
Answer:
2y+3=4y+2
I hope you got it..
Variance 0.7775
Find the standard deviation (hint: the standard deviation is the square root of the variance)
Answer:
0.88175960442
Step-by-step explanation:
The square root of 0.7775 is 0.88175960442
The value of standard deviation will be;
⇒ 0.8803
What is mean by square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The value of Variance = 0.7775
Now,
Since, The standard deviation is the square root of the variance.
Hence, We can formulate;
The value of standard deviation = √0.7775
= 0.8803
Thus, The value of standard deviation will be;
⇒ 0.8803
Learn more about the standard deviation visit:
https://brainly.com/question/475676
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6
1 point
Label the steps in order to solve the following equation:
-11 - 5z = 6 (5z + 4)
&
1
-11 - 5z = 30z + 24
2
-35 = 352
3
-11 = 352 + 24
4
-1=2
Answer:
swap the middle two steps to put them in order
Step-by-step explanation:
The steps in order would be ...
-11 -5z = 30z +24 . . . . . eliminate parentheses-11 = 35z +24 . . . . . . . . add 5z-35 = 35z . . . . . . . . . . . . subtract 24-1 = z . . . . . . . . . . . . . . . . divide by 25/14, 7/10, 5/6, 11/15, 19/2
Answer:
5/14 = 0.36
7/10 = 0.7
5/6 = 0.83
11/15 = 0.73
19/21 = 0.9
(round to the tenth)
so the answer is;
5/14, 7/10, 11/15, 5/6, 19/21
Step-by-step explanation:
Hope it helps!
how 45 degree angles does it take to make a full turn?
PLSSSSSSSSSSSSSSS HELP
Answer:
8 turns
Step-by-step explanation:
If we want to take a full turn, we'd turn around 360° since we'd be in the same position.
If we turn in intervals of 45°, we need to find how many times 45 goes into 360. To do this, we can divide.
[tex]360\div45=8[/tex]
Hope this helped!
Answer:
It will take 8 45 degree angles to make a full turn
Step-by-step explanation:
360 degrees is a full turn
360/45 =8
It will take 8 45 degree angles to make a full turn
Roberto is x years older than his only sister but 10 years ago he was twice her age. What are the current ages of the siblings?
Answer:
S = x + 10
R = 2x + 10
Step-by-step explanation:
If R is Roberto's age, and S is his sister's age, then:
R = S + x
R − 10 = 2 (S − 10)
Solve with substitution.
S + x − 10 = 2 (S − 10)
S + x − 10 = 2S − 20
S = x + 10
R = 2x + 10
A line that contains the points (5, −3) and (7, 3) has a slope, m, that equals
Answer:
m = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (7, 3)
m = [tex]\frac{3+3}{7-5}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Please answer this question now
Answer:
320 sq in
Step-by-step explanation:
4(1/2*8*16) + (8*8)
= 4(64) + (64)
= 5(64)
= 320
If f(x) = 3x^2 + 2 and g(x) = x^2- 9, find (f-g)(x).
O A. 4x2 - 7
O B. 2x2 +11
O c. 2x2 - 7
O D. 4x2 +11
Answer:
[tex] \boxed{\sf B. \ 2x^{2} + 11} [/tex]
Given:
f(x) = 3x² + 2
g(x) = x² - 9
To Find:
(f - g)(x)
Step-by-step explanation:
[tex]\sf (f -g)(x) = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x^{2} + 2) - (x^{2} - 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x^{2} + 2 - x^{2} + 9 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x^{2} - x^{2} + 2 + 9 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x^{2} - x^{2}) + (2 + 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x^{2} + (2 + 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x^{2} + 11 [/tex]
What are the answers to the following.
Answer:
Step-by-step explanation:
[tex]8-11 =-3\\\\b. -8+10 = 2\\\\c. 13+(-6) = 13-6 \\= 7\\\\d. 7-(-3)\\= 7+3\\=10\\\\e.-5-(-2)\\=-5+2\\=-3\\\\f. -15-(-25)\\=-15+25\\=10\\\\g. -3+(-6)-(-9)\\= -3-6+9\\=-9+0\\=0\\\\h.-20-(-9)-(-8)\\=-20+9+8\\-20+17\\=-3\\\\[/tex]
[tex]-2+3-(-4)+(-5)\\-2+3+4-5\\= 1-1\\=0\\\\\\b. 18-(-10)+(-19)-8\\=18+10-19-8\\28-27\\=1\\\\c. 65+(-72)-(-45)\\= 65-72+45\\=-7+45\\=38[/tex]
A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?
Answer:
The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2
Step-by-step explanation:
Let the number of mangoes bought by the grocery store be n. Also let the number of mango sold for $3 in one stack be x and the number of mango sold for $6 in the second stack be y.
Therefore:
x + y = z (1)
Also, the mangoes was sold at break even price, that is the cost of the mango and the price it was sold for was the same. Therefore:
Cost of buying = Price it was sold for
The cost of the mango = 5z and the price it was sold for = 3x + 6y
3x + 6y = 5z (2)
Substituting z = x + y in equation 1
3x + 6y = 5(x + y)
3x + 6y = 5x + 5y
6y - 5y = 5x - 3x
y = 2x
x / y = 1/ 2 = 1 : 2
The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2
What value(s) of x make the equation x2 - 18x + 81 = 0 true?
Answer:
By factoring we get:
(x -9) * (x -9) = 0
The answers are
x = 9 and x = 9
Step-by-step explanation:
Answer:it’s A
Step-by-step explanation:
The grades on the last art exam had a mean of 75%. Assume the population of grades on art exams is known to be distributed normally, with a standard deviation of 7%. Using the empirical rule, approximately what percent of students earn a score between 75% and 82%? 68% 16% 32% 34%
Find the z-score for both 75% and 82% then subtract them.
Z-score for 75%:
75 -75 /7 = 0-7 = 0
Using empirical rule, This translates to a percentile if 50%
Z-score for 82%
82-75 /7 = 7/7 = 1
Using empirical rule, this translates to 84.13%
Answer = 84.13-50 = 34.13% round to 34%
Answer:
34%
Step-by-step explanation:
Well 75+7=82 and one hop on the graph is 34%.
David hikes 2 1/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 miles?
Answer:
1 hour= 4.5 miles
18 miles= 4 hours
Step-by-step explanation:
Simplified. 2c+2d+5d
Answer:
2c +7d
Step-by-step explanation:
2c+2d+5d
Combine like terms
2c + d(2+5)
2c +7d
Answer:
The simplified answer of this expression is 2c + 7d
Step-by-step explanation:
For this problem, you will have to combine like terms.
2c + 2d + 5d
Combine 2d and 5d.
2c + 7d
The straight line PQ with a gradient -2 passing through point (-3, 10). Find the y-intercept of the straight line PQ . Please help me and explain it . Thank you so much
Answer:
y- intercept = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope( gradient ) and c the y- intercept )
Here m = - 2 , thus
y = - 2x + c ← is the partial equation
To find c substitute (- 3, 10) into the partial equation
10 = 6 + c ⇒ c = 10 - 6 = 4
Thus y- intercept c = 4
At what rate per annum will N250 amount to N330 in 4 years.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 \: \% \: }}}}}[/tex]Step-by-step explanation:
Given,
Principal ( P ) = N 250
Time ( T ) = 4 years
Amount ( A ) =N 330
Rate ( R ) = ?
First, finding the Interest :
According to definition of Amount ,
Amount = Principal + Interest
plug the values
⇒[tex] \sf{330 = 250 + I}[/tex]
Move i to left hand side and change it's sign
⇒[tex] \sf{ - I = 250 - 330}[/tex]
Calculate
⇒[tex] \sf{ - I = - 80}[/tex]
Change the signs of the both equation
⇒[tex] \sf{I = 80 }[/tex]
Interest = 80
Finding the rate :
Simple Interest = [tex] \sf{ \frac{PTR}{100} }[/tex]
plug the values
⇒[tex] \sf{80 = \frac{250 \times 4 \times R}{100} }[/tex]
Multiply the numbers
⇒[tex] \sf{80 = \: \frac{1000 \: R}{100} }[/tex]
Apply cross product property
⇒[tex] \sf{1000R = 100 \times 80}[/tex]
Multiply the numbers
⇒[tex] \sf{1000R = 8000}[/tex]
Divide both sides of the equation by 1000
⇒[tex] \sf{ \frac{1000R}{1000} = \frac{8000}{1000} }[/tex]
Calculate
⇒[tex] \sf{R = 8 \: \% \: }[/tex]
Thus, Rate = 8 %
-------------------------------------------------------------------------
Let's learn about Principal , Interest , Time , Rate and Amount :
Principal = The money which is borrowed or deposited is called principal.Interest = The additional amount of money which is paid by borrower to the lender is called interest.Time = The duration of time for which principal us deposited or borrowed is termed as time period.Rate = The condition under which the insterest is charged is called rate.Amount = The sum of principal and Interest is called an amount.Hope I helped!
Best regards!!
Melissa put her $500 In a savings account that earns 4% interest compounded annually. How much will be in the account after 3 years? Round your answer to the nearest hundredth
Work Shown:
A = P*(1+r/n)^(nt)
A = 500*(1+0.04/1)^(1*3)
A = 562.432
A = 562.43
Answer: $562.43
Step-by-step explanation:
The initial start up amount is 500 and we want to expressed this as an exponential function. So since we know the initial value we need to find the rate of change. So if you earn 4% interest you are earning 4% percent more on top the actual 100%.
So 100% + 4 % = 104% = 1.04
The common difference is 1.04.
so 500 * 1.04^n= A where n is the number of years and A is the total amount.
A = 500 * [tex]1.04^{3}[/tex]
A= 562.43
I need some help plsssssssssssss
Answer:
See below.
Step-by-step explanation:
p: Atlanta is the capital of Georgia.
q: There are 4 feet in a yard.
p is true; q is false
11. p V q:
Atlanta is the capital of Georgia, or there are 4 feet in a yard.
Truth value: true since one of the statements is true.
12. p ▲ q:
Atlanta is the capital of Georgia, and there are 4 feet in a yard.
Truth value: false since not both statements are true.
13. p ▲ ~q:
Atlanta is the capital of Georgia, and there are not 4 feet in a yard.
Truth value: true since both of the statements are true.
11. ~p V q:
Atlanta is not the capital of Georgia, or there are 4 feet in a yard.
Truth value: false since both statements are false.
Answer:
Step-by-step explanation:
What is the answer to (6/7)/(12/21) = 4/x Algebra plz help
Answer:
(6/7)/(12/21) = 4/x
the first part of the expression :
when divide fraction: turn the sign from ÷ to × and flip the second fraction
(6/7)×(21/12)=4/x
126/84=4/x ( simplify the fraction 126/84)
GCF of 126 and 84 is 42 ( 126/48=3 and 84/42=2)
3/2=4/x ( cross multiplication ( butterfly)
1.5=4/x
1.5x=4
x=4/1.5=2.6666.......