Questions attached below (❁´◡`❁)

Questions Attached Below (`)
Questions Attached Below (`)

Answers

Answer 1

Problem 2

Josh forgot to apply the square root to 16 when he went from [tex](x-3)^2 = 16[/tex] to [tex]x-3 = 16[/tex]

Also, he forgot about the plus/minus.

This is what his steps should look like

[tex]x^2 - 6x - 7 = 0\\\\x^2 - 6x = 7\\\\x^2 - 6x +9= 7+9\\\\(x-3)^2= 16\\\\x-3= \pm\sqrt{16}\\\\x-3= 4 \text{ or } x-3= -4\\\\x= 7 \text{ or } x= -1\\\\[/tex]

There are two solutions and they are x = 7 or x = -1. To check each solution, you plug it back into the original equation

Let's try out x = 7

x^2 - 6x - 7 = 0

7^2 - 6(7) - 7 = 0

49 - 42 - 7 = 0

0 = 0 ... solution x = 7 is confirmed. I'll let you check x = -1

====================================================

Problem 3

We will have

a = 1, b = -4, c = 3

plugged into the quadratic formula below to get...

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-4)\pm\sqrt{(-4)^2-4(1)(3)}}{2(1)}\\\\x = \frac{4\pm\sqrt{4}}{2}\\\\x = \frac{4\pm2}{2}\\\\x = \frac{4+2}{2} \ \text{ or } \ x = \frac{4-2}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{2}{2}\\\\x = 3 \ \text{ or } \ x = 1\\\\[/tex]

The two solutions are x = 3 or x = 1. You would check this by plugging x = 3 back into the original expression x^2 - 4x + 3. The result should be zero. The same applies to x = 1 as well.


Related Questions

at the rate of 50 mph a car can travel 14.6 miles for each gallon of gas used. On a trip Mr. Hanson used 12.5 gallons of gas traveling at a speed of 50 mph. the number of miles covered during the trip was:

Answers

Answer:

182.5 miles in the rate of 50 mph.

Step-by-step explanation:

1 gallon = 14.6 miles in the rate of 50 mph

12.5 gallons = ?

12.5 × 14.6 = 182.5 miles in the rate of 50 mph.

The number of miles covered during the trip was 182.5 miles.

Given that, at the rate of 50 mph, a car can travel 14.6 miles for each gallon of gas used. On a trip, Mr Hanson used 12.5 gallons of gas travelling at a speed of 50 mph.

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, 1 gallon = 14.6 miles at the rate of 50 mph

12.5 × 14.6 = 182.5 miles in the rate of 50 mph.

Therefore, the number of miles covered during the trip was 182.5 miles.

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Sophie is making a copy of an angle. The original angle will be labeled G and the new angle will be labeled B. She has just finished using a compass, with the point on G, to draw an arc that intersects both rays of angle G. Which of the following should she do next

Answers

Answer:

The next step is;

Label the two intersection points

Step-by-step explanation:

To make a copy of an angle, the steps are;

1) Draw the rays of the original angle passing through the point B

2) Open the compass slightly and place the compass point on the vertices G where the two rays meet to draw an arc that intersect both rays

3) Label the point of intersection of both rays points C and D

4) With the compass still opened to the same width, move the compass to the point B on the line the angle is to be copied and draw a similar arc intersecting the ray at J

5) Open the compass to the width of C and D on the original angle and place the compass at point J to mark the arc on the copied angle location at M

6) Draw a line from B passing through M to complete the second ay of the copied angle.

heeelllpppppppppppppppp

Answers

Answer:

2/5m - 1/5

Step-by-step explanation:

2(1/5m - 2/5) + 3/5

= 2/5m - 4/5 + 3/5

= 2/5m - 1/5

Answer:

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

Step-by-step explanation:

[tex]2\left(\frac{1}{5}m-\frac{2}{5}\right)+\frac{3}{5}\\\\2\left(\frac{1}{5}m-\frac{2}{5}\right)=2\left(\frac{m}{5}-\frac{2}{5}\right)\\\\\frac{m}{5}-\frac{2}{5}=\frac{m-2}{5}\\\\=\frac{2\left(m-2\right)}{5}+\frac{3}{5}\\\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{2\left(m-2\right)+3}{5}\\\\\mathrm{Expand}\:\left(m-2\right)\cdot \:2+3:\quad 2m-1\\\\=\frac{2m-1}{5}[/tex]

A player has 15 hits in 34 times at bat and then gets another hit. Did the batting average increase explain

Answers

The batting average of each player is the number of hits divided by the number of at bats. Average for First player: 34 divided by 102. Average for other player: 24 divided by 96. First player's average is 0.333; that is 33.3% of his times at bat resulted in a hit. Other player's average is 0.243; 24.3% of times at bat resulted in a hit.
Answer: Yes

Explanation:

BA= H/AB

BA = 15/34 = 0.441

But then he gets another hit:

BA = 16/35 = 0.457

A tour group is going sea diving. Sea level is O feet. The ocean
floor is -18 feet. One diver is already at -11 feet. The tour guide
is keeping watch on the deck at 5 feet above sea level directly
above the diver. What is the distance from the tour guide to the
diver? Draw and label a number line to justify your answer.​

Answers

Answer:

16 feet.

Step-by-step explanation:

Please refer to the attached diagram for the clear understanding of the given question statement.

A is the position of tour guide on deck.

B is the sea level. (Can be considered as zero on the number line)

C is the position of Diver and

D is the point on ocean floor.

Below sea level dimensions are given as negative in the question statement.

As per given statement,

AB = 5 feet

BC = 11 feet (Ignoring the negative sign as negative sign only depicts that it is below sea level)

BD = 18 feet

To find:

Distance from tour guide to the diver = ?

Solution:

We have to actually find the value of AC here as per the image attached.

AC = AB + BC = 5 + 11 = 16 feet

show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle​

Answers

Answer:

  the sides are different lengths as shown in the diagram

Step-by-step explanation:

Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.

A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.

Can someone please explain this to me? I don’t understand it at all.

Answers

Segment AB was added to segment BC to get segment AC

representing it as an equation,

AC = AB + BC.

Substitute the values in the equation which means you are going to find the value of x.

77 = x + 16 + 4x +11

77 = 5x + 27

(group like terms)

77 - 27 = 5x

50 = 5x

( divide both sides by 5 to make x stand alone)

50/5=5x/5

10 = x

therefore ,x = 10.

To prove that segment AB =26, place x in the statement

AB = x+16

AB=10+16

AB=26/

AB =
Round your answer to the nearest hundredth.
B
?
2
25°
С
A

Answers

Answer:

? = 4.73

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp / hyp

sin 25 = 2 / ?

? sin 25 = 2

? = 2 / sin 25

? =4.732403166

To the nearest hundredth

? = 4.73

whats the factored form of 6x 2 - 8x - 8 = 0

Answers

Answer:

x = -2/3 , 2

Step-by-step explanation:

Factor 2  out of   6 x^ 2 − 8 x − 8

2 ( 3 x^ 2 − 4 x − 4 ) = 0

Factor

2 ( 3 x + 2 ) ( x − 2 ) = 0

Set  3 x + 2  equal to  0  and solve for  x

x = -2/3

Set  x − 2  equal to  0  and solve for  x

x = 2

The final solution is all the values that make 2 ( 3 x + 2 ) ( x − 2 ) = 0

x = -2/3 , 2

Hope this can help you

 

Find conditions on the slope of a line through (9, 4) such that the x-intercept is negative and the slope is greater than its y-intercept. 2/5 < m < 4/9 m < 2/5 or m > 4/9 9/5 < m < 9/4 m < 9/5 or m > 9/4 Not enough information

Answers

Answer:

9/5 < m < 9/4

Step-by-step explanation:

The conditions are:

The line passes through (9,4)x-intercept is negativeThe slope (m) is greater than its y-intercept

If we take a point like (-1,0)

Slope (m) = change in y ÷ change in x = [tex]\frac{0 - 9}{-1 - 4} = \frac{-9}{-5}[/tex] = 9/5

This point satisfies the conditions above since;

The line passes through points (9,0) and (-1,0)The x-intercept is negative i.e -1The y-intercept is 0 and the slope which equals 9/5 is greater than 0

From the choices given;

we can say that:

m > 9/5 and m < 9/4

And can be expressed as;

9/5 < m < 9/4

Find a linear inequality with the following solution set. Each grid line represents one unit.
Pllzzzzzzz help!!!!!!!!!!

Answers

The equation of the line is y = 3x - 4, so the inequality is y <= 3x - 4.

Answer:

y <= 3x - 4

Standard form: [tex]3x-y-4\geq 0[/tex]

Copy-paste: 3x-y-4>=0

Answer ASAP, Will give brainliest!!
Find the length and the mid- segment
Isosceles Trapizoid
AB=48
BC=19
CD=24
DA=19


Answers

Answer:

Step-by-step explanation:

Length of mid-segment = [tex]\frac{(AB+CD)}{2}[/tex]

     [tex]= \frac{48 +24}{2}\\\\\\=\frac{72}{2}\\\\[/tex]

    = 36 in

after allowing 20 percent discount on the marked price of a radio 15 percent vat is levied on it , if its price become rs 22080 ,what amount was levied in the vat​

Answers

Answer:

Step-by-step explanation:

Hello, let's say that the price was P, a real number.

After 20% discount it become P - 20% * P = P* (1-20%) = P * (1 - 0.2)

= P * 0.8

And then we take 15% for the VAT, the new price become P * 0.8 * ( 1 + 15%)

= P * 0.8 * 1.15

And this is equal to 22080, so

P * 0.8 * 1.15 = 22080

and the amount of the VAT is P *0.8 * 0.15

[tex]=\dfrac{22080}{1.15}*0.15=2880[/tex]

Hope this helps.

Thank you.

Find the value of 7v-6 given that -8v-9=7 Simplify your answer as much as possible 7v-6=

Answers

Answer:

-20

Step-by-step explanation:

-8v-9=7

Add 9 to each side

-8v-9+9=7+9

-8v = 16

Divide by -8

-8v /-8 = 16/-8

v = -2

Now find

7v -6

7(-2) -6

-14 -6

-20

Answer:

negative 20?

Step-by-step explanation:

I tried to remember what I learned about a year ago...

Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made of a sketch, she spent minutes sketching.

Answers

Answer:

A. 9

Step-by-step explanation:

Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m=12s where m is the number of minutes and s is the number of sketches if Lori made 3/4 of a sketch she spent A.9 B.12 C.16 D.20 minutes sketching

Solution

m= number of minutes

s= number of sketches

Equation is

m=12s

If Lori made 3/4 of the sketch, then the time spent is ?

s=3/4

m=?

m=12s

m= 12 × 3/4

=36/4

=9

m=9

If Lori made 3/4 of the sketch, then she spent 9 minutes sketching.

Answer:

I hope this helps

Step-by-step explanation:

Find the product of all real values of $r$ for which $\frac{1}{2x}=\frac{r-x}{7}$ has exactly one real solution.

Answers

Answer:

-14

Step-by-step explanation:

Observe first that $x=0$ is not a solution to the equation since it makes the denominator of $\frac{1}{2x}$ equal to 0. For $x\neq 0$, we may multiply both sides by both denominators and move all the resulting terms to the left-hand side to get $2x^2-2rx+7=0$. Observe that there are two ways the original equation could have exactly one solution. Either $2x^2-2rx+7=0$ has two solutions and one of them is 0, or else $2x^2-2rx+7=0$ has exactly one nonzero solution. By trying $x=0$, we rule out the first possibility.

Considering the expression $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ for the solutions of $ax^2+bx+c=0$, we find that there is exactly one solution if and only if the discriminant $b^2-4ac$ is zero. Setting $(-2r)^2-4(2)(7)$ equal to 0 gives $4r^2-4(14) = 0$. Add 4(14) and divide by 4 to find $r^2=14$. The two solutions of this equation are $\sqrt{14}$ and $-\sqrt{14}$, and their product is $\boxed{-14}$.

The value of r from the given equation is r=(2x²+7)/2x.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is [tex]\frac{1}{2x}=\frac{r-x}{7}[/tex].

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

By cross multiplication, we get

7=2x(r-x)

7=2rx-2x²

2rx=7+2x²

r=(2x²+7)/2x

Therefore, the value of r from the given equation is r=(2x²+7)/2x.

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Shawna, Dexter, and Tilana are solving the equation Negative 2.5 (5 minus n) + 2 = 15. Shawna says, "I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFraction = Negative StartFraction 15 over 2.5 EndFraction." Dexter says, "I can begin by distributing Negative 2.5 to get Negative 12.5 + 2.5 n + 2 = 15." Tilana says, "I can begin by multiplying each side of the equation by Negative StartFraction 1 over 2.5 EndFraction to get 5 minus n minus 0.8 = negative 6." Which students are correct? only Shawna and Tilana only Shawna and Dexter only Dexter and Tilana Shawna, Dexter, and Tilana

Answers

Answer:

All three students are correct

Step-by-step explanation:

Given

Equation: -2.5(5 - n) + 2 = 15

Required

Which students are correct

To determine which of the students are correct; we have to test each of their solutions

SHAWNA

Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5

[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]

Split fractions

[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]

Simplify each fraction

[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

Shawna is correct...

DEXTER

Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.

[tex]-2.5(5 - n) + 2 = 15[/tex]

Open brackets

[tex]-12.5 + 2.5n + 2 = 15[/tex]

Dexter is also correct...

TILANA

[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]

Open brackets

[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]

Simplify each bracket

[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]

[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

[tex]5 - n - 0.8 = -6[/tex]

Tilana is also correct

Hence, all three students are correct

Answer:

All of them are correct

Step-by-step explanation:

jawaban dari 5x – 7 = 13 adalah....... dijawab ya....

Answers

Answer:

x = 4

Step-by-step explanation:

5x - 7 = 13

5x = 13 + 7

5x = 20

x = 20/5

x = 4

5x - 7 = 13
5x = 13+7
the sign must change bcoz U’re moving a - number to the other side of the equal sign.
5x/5= 20/5
X=4

How would you write 7 is subtracted from the cube of a number

Answers

Answer:

n³ - 7

Step-by-step explanation:

n³ - 7

The required expression for the 7 subtracted from the cube of a number is x³- 7.

Given that,
A string of statements is given,
Here, we have to transform the statement, 7 is subtracted from the cube of a number into a mathematical inscription.

What is arithmetic?

Arithmetic, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is an expression?

A mathmetical expression is formulated structure of a statement using variables.

Let the number be x,
Now 7 subtracted from the cube of number x
= x³ - 7

Thus, the required expression for the 7 subtracted from the cube of a number is x³- 7.

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A player has 15 hits in 34 times at bat and then gets
another hit. Did the batting average increase? Explain.

Answers

Answer:

yes, his batting average will increase bcz average of a batsmen is the sum of total hits per ball.

Divide a 6 and 3/4 inch line into three parts so that each part is 1/4 inch shorter than the one before it.

Answers

Answer:

Hey there!

x+x+1/4+x+2/4

3x+0.75=6.75

3x=6

x=2

The lines are 2, 2 1/4, and 2 2/4.

Let me know if this helps :)

The three numbers or parts are 2 , 2 1/4 and 2 1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be n = 6 3/4

Now , for the number to be divided into three parts where each number is 1/4 shorter than the one before it ,

Let the first divided number be = x

So , the second number will be 1/4 more than the first number

Second number = x + 1/4

And , the third number will be 1/4 more than the second number

Third number = x + 1/4 + 1/4

                       = x + 2/4

                       = x + 1/2

Now, the equation will be

The sum of all three numbers = 6 3/4

So ,

x + ( x + 1/4 ) + ( x + 1/2 ) = 6 3/4

3x + 3/4 = 6 3/4

Subtracting 3/4 on both sides , we get

3x = 6

x = 2

Substituting the values of x in the equation , we get

First number = 2

Second number = 2 1/4

Third number = 2 1/2

Hence , the three numbers or parts are 2 , 2 1/4 and 2 1/2

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write down the missing number in the following 1,,4,9,16,25,?​

Answers

Answer:

36

Step-by-step explanation:

you know the number based on the sequence

the values increase in the form of x+2

e.g. 4-1=3

      9-4=5

      16-9=7

      25-16=9

you can see the number adds 2 for every increased number

and by following this sequence you will get the number 36

     

Answer:

by the square of 1, 2 ,3 the sequence has been made

Step-by-step explanation:

1 for 1²

4 for 2²

9 for 3²

16 for 4²

25 for 5²

so the later one will be 36 for 6²

so the answer is 36 thats all

you took a 20 question test and received a 65% on the test. how many question did you answer correctly

Answers

you answered 13 correct, you can search this up by putting 65 percent of 20 and you would get the answer, just in case you have other questions like this!

A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 43 cables and apply weights to each of them until they break. The 43 cables have a mean breaking weight of 774.3 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 90% confidence interval to estimate the mean breaking weight for this type cable.

Answers

Answer:

At   90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)

Step-by-step explanation:

Given that:

sample size n =43

sample mean x = 774.3

standard deviation = 15.4

confidence interval = 90%

At C.I of  90% , the level of significance ∝ = 1 - C.I

the level of significance ∝ = 1 - 0.90

the level of significance ∝ = 0.10

The critical  value for z at this level of significance is [tex]z_{\alpha/2} = z_{0.10/2}[/tex]

[tex]z_{0.05}[/tex] = 1.64

The margin of error can be computed as follows:

Margin of error = [tex]\mathtt{z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}[/tex]

Margin of error =  [tex]\mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}[/tex]

Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{6.5574}}[/tex]

Margin of error  = [tex]\mathtt{1.64 \times2.3485}[/tex]

Margin of error = 3.8515

The mean breaking weight  for the 90% confidence interval is = [tex]\mathtt{\overline x \pm E < \mu }[/tex]

=  [tex]\mathtt{\overline x - E < \mu < \overline x + E}[/tex]

= ( 774.3 - 3.8515  < μ < 774.3 + 3.8515 )

= (770.4485, 778.1515)

[tex]\simeq[/tex] (770.45, 778.15)

A portion of a line or Ray that extends from one point to another point is called what

Answers

Answer: line segment

Step-by-step explanation:

A line segment is a ray that extends from one point to another. Hope this helps!

Answer:

line segment

Step-by-step explanation:

If a portion of a line has two endpoints (two little black dots on its end), then it is a line segment.

If it has one dot and an arrow, its a ray. This has an endpoint and goes on forever in the direction of the arrow.

David is selling floral arrangements. Each arrangement uses 1 vase and 12 roses. Each vase costs David $2.00. Let C be the total cost of the arrangement and r be the cost of 1 rose. Which equation should David use to find the total cost of each arrangement? C = 12r + 2 12 = C + 2r C = 2r + 12 12C = r + 12

Answers

Answer:

C = 12r + 2

Step-by-step explanation:

To model the equation for the cost of Each Arrangement.

We need to itemize all parameters needed.

An arrangement consists of

1. one vase

2. twelve roses

Given that 1 vase cost $2 and

The cost of one rose is r

Let the total cost of the arrangement be C

Hence C is the  cost of the vase plus the cost of 12 roses combined, this is given as

[tex]C = 12r + 2[/tex]

Let f(x)=logx. What is the average rate of change of f(x) from 2 to 3? Round to the nearest hundredth.

Answers

Answer:

Below

Step-by-step explanation:

Let m be the average rate of change.

● m = (f(3)-f(2)) / 3-2

● m = ( log3 - log2) / 1

● m = 0.176

Round it to the nearest tenth

● m = 0.18

The population distribution of SAT scores is normal with a mean of μ=500 and a standard deviation of SD=100. For example, what is the probability of randomly selecting an individual from this population who has an SAT score greater than 700?

Answers

Answer:

0.02275

Step-by-step explanation:

We use the z score formula to solve for this

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

In the above question:

mean of μ=500

a standard deviation of SD=100

raw score x = 700

Hence, z score = (700 - 500)/ 100

= 200/100

= 2

z score = 2

Using the z score table of normal distribution to find the Probability of z = 2

P( x = z)

= P(x = 700)

= P( z = 2)

= 0.97725

P(x>700) = 1 - P(x = 700)

= 1 - 0.97725

= 0.02275

Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275

help plz anyone :( will mark

Answers

Answer:

area of square - area of circle

s² - pie r²

3² - 3.14 x1 x1

9 - 3.14 cm²

your answer is 5.86cm²

this is area of shaded region

nearest hundered is 6cm²

plz brainlist me bro I need it plz

her answer is wrong brainlist me

Answer:

The area of the shaded region is

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the rectangle minus the area of the circle

The rectangle is a square

So.... Plz check rest in the pic!

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

Answers

Answer:

53$

Step-by-step explanation:

They tell you the equation of how much the coin is worth after x amount of years

Step 1: Substitute x=19 into the equation y=2x+15

y = 2(19) + 15

Step 2: Solve for y

y = 2(19) + 15

y = 38 + 15

y = 53

Therefore the coin is worth 53 dollars after 19 years

Answer:

53

Step-by-step explanation:

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Charge of uniform density (0.30 nC/m2) is distributed over the xy plane, and charge of uniform density (0.40 nC/m2) is distributed over the yz plane. What is the magnitude of the resulting electric field at any point not in either of the two charged planes? An investor has a $1,000,000 portfolio that is split evenly between "blue chip" stocks and Treasury securities. The current economic environment is characterized by low interest rates and flat stock prices - and this is expected to remain unchanged for a number of years. However, the residential and commercial real estate market is expected to be strong. The investor would like to diversify the portfolio and enhance returns without adding much additional risk. Which of the following investment purchase recommendations would help achieve this objective?A. Mortgage REITsB. Mortgage BondsC. Equity REITsD. Fannie Mae Pass-Through Certificates Solve the following system of equations.2x + y = 3x = 2y-1ANSWER: ______plz help me Find the area of the ACTUAL gym Find the value of x in the givenright triangle.Enter your answer as a decimal rounded to thenearest tenth. Suspect Corp. issued a bond with a maturity of 30 years and a semiannual coupon rate of 6 percent 4 years ago. The bond currently sells for 95 percent of its face value. The book value of the debt issue is $45 million. In addition, the company has a second debt issue on the market, a zero coupon bond with 15 years left to maturity; the book value of this issue is $50 million and the bonds sell for 54 percent of par. The companys tax rate is 40 percent.Required:a. What is the companys total book value of debt?b. What is the companys total market value of debt? c. What is your best estimate of the aftertax cost of debt? Michael is trying to hang Christmas lights on his house. His house is 17 ft tall and the ladder leaning is 34 degrees above the ground. How long must the ladder be to reach the house? a 24 feet b 17 feet c 34 feet d 30 feet A plano-convex glass lens of radius of curvature 1.4 m rests on an optically flat glass plate. The arrangement is illuminated from above with monochromatic light of 520-nm wavelength. The indexes of refraction of the lens and plate are 1.6. Determine the radii of the first and second bright fringes in the reflected light. If alkali A has a pH value of 13 and alkali B has a pH value of 9, explain which is most likely to be used in indigestion tablets as a remedy for excess stomach acid. * 1. A star is 520 light years from Earth. During what event in history did thelight now arriving at Earth leave the star? what are the problems and the challenges in classifying living things WILL GIVE BRAINLYEST AND 30 POINTS Which of the followeing can be qritten as a fraction of integers? CHECK ALL THAT APPLY 25 square root of 14 -1.25 square root 16 pi 0.6 PLEASE ANSWER QUICKLY ASAP READ THE QUESTION CAREFULLY PLEASE The absolute value of the price elasticity of demand for gasoline in the long run has been estimated to be 1.5. If an extended war in the Middle East caused the price of oil (from which gasoline is made) to increase and remain high for a decade, how would that affect total expenditures on gasoline in the long run, all other things equal? (Hint: Consider the change in gasoline prices.) Describe how fossils provide evidence of evolution The time, X minutes, taken by Tim to install a satellite dish is assumed to be a normal random variable with mean 127 and standard deviation 20. Determine the probability that Tim will takes less than 150 minutes to install a satellite dish. Webcom. Inc. had the following current assets and current liabilities at the end of two recent years: Current Year (in millions) Previous Year (in millions) Cash and cash equivalents $8,297 $4,067 Short-term investments, at cost 422 458 Accounts and notes receivable, net 7,041 6,912 Inventories 3,581 3,827 Prepaid expenses and other current assets 1,479 2,377 Short-term obligations 4,815 6,205 Accounts payable 12,774 11,949Requried:a. What is the Current Ratio for the current year? b. What is the Current Ratio for the preceding year? c. What is the Quick Ratio for the current year? d. What is the Quick Ratio for the preceding year? e. What is the Working Capital for the current year? f. What is the Working Capital for the preceding year? If (x - 2) and (x + 1) are factors ofx + px? + qx + 1, what is the sum of p and q? Find the median of the data in the dot plot below. I need help Select the correct answerStudies have been conducted on the benefits of a multidisciplinary approach. What benefit do the studies show?A.lower overall mortality rates in ICUSBlower attrition rate of medical staff in hospitalsC.better communication between patients and doctorsODbetter career growth for nursing staffResetNext