If possible can someone help me with this problem.

Answer:

68 and 40

Step-by-step explanation:

x - y = 28

x * y = 2720

x = 28 + y

(28+y)y = 2720

28y+y^2 = 2720

y^2 + 28y - 2720 = 0

discriminant = 28^2 - 4(-2720) = 784 + 10 880 = 11 644

we are searching only the positive value

y = (-28 + 108)/2 = 80/2 = 40

x = 28 + 40 = 68

A counterclockwise rotation changes the coordinate of a point as,

(x,y)-->(-y, x).

So, the x coordinate becomes negative of y coordinate and the y coordinate becomes x after transformation.

Let (x,y) be the coordinates of B. Initially the vertex B is in first quadrant with positive coordinates (x,y).

The transformation will give a negative value for the new x coordinate of B only in the first transformation

Hence, the first figure is the answer.

The solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

To solve the expression for r, we must isolate r, as a function of the other variables.

The expression is modeled by:

\(m = \frac{3x}{\pi r^2h}\)

Then, isolating r:

\(mr^2 = \frac{3x}{2\pi}\)

\(r^2 = \frac{3x}{2m\pi}\)

\(r = \sqrt{\frac{3x}{2m\pi}}\)

Thus, the solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

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Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis is:

\(H_o: \mu_{antidepressant}= \mu_o\)

\(H_1: \mu_{antidepressant}\ne \mu_o\)

The population mean = 25

The sample mean = 23.3

sample size n = 36

standard deviation = 6

From the following conditions given; the condition that is not required is:

\(\text{The sample size must be very large}\)

Since the sample size is 30, we do not need the condition and it's enough for the Z test provided that the population is not normally distributed. If the population is distributed normally, then any sample size is valid:

Then, the test statistics can be computed as follows:

\(Z = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}} }\)

\(Z = \dfrac{23.3 - 25}{\dfrac{6}{\sqrt{36}} }\)

\(Z = \dfrac{23.3 - 25}{\dfrac{6}{6} }\)

\(Z = -1.7\)

At the level of significance 0.05

Since the test is two-tailed, the critical value \(Z_{\alpha/2} = Z_{0.025} = 1.96\)

Provided that the Z value is not less than the critical value;

Then, we fail to reject the null hypothesis.

We conclude that there is no enough evidence that the drug reduces depression.

Answer:

The answer is the 1st one (A) because it already is written in standard form.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1<x<0

x<0

so x is negative.

Hence -x is positive.

and -1<x

or

x>-1

or

x+1>0

x+5=x+1+4>0+4

hence x+5 is positive.

x is negative .

∴x-2 is negative.

f(x)=(+)×(+)×(+)×(-)=-

B

The correct answer is c. mass, height.

If you increase the mass of an object and raise it to a higher height, you will increase its amount of potential energy. Potential energy is directly proportional to both mass and height.

The potential energy of an object in a gravitational field is given by the equation:

Potential Energy = mass * gravitational acceleration * height

By increasing the mass (m) and the height (h), the potential energy (PE) of the object increases:

PE ∝ m * h

Therefore, increasing the mass and height of an object will increase its potential energy.

Answer:

a) 1.8 meters

b) 5.4 meters

Step-by-step explanation:

A) Explanation: Average man is between 1.5-2.0 meters which will give you 1.8 meters.

B) Explanation: 1.8 times 3= 5.4

Hope this helps!!

Total number of free throws made for player 2 are 23 using histogram.

A histogram is a graphical depiction of continuous or discrete data. In a histogram, the frequency is represented by the area of a bar. Frequency density, which is proportional to frequency, is plotted on the y-axis, and intervals representing the range of values are plotted on the x-axis. One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution. A histogram is a graph in which the horizontal axis represents the values of the observations, and the vertical axis represents the density of those observations.

Given,

Histogram given,

Total number of free throws made for player 2 are:

8 + 9 + 6

23

Total number of free throws made for player 2 are 23 using histogram.

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The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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Answer:volume=hpir^2d/2=r, 24/2=12=rh=40v=40pi12²v=40pi144v=5760pi cubic inches per section

Step-by-step explanation:

Answer:

w = 50

Step-by-step explanation:

−w /20  = −2.5

Step 1: Simplify both sides of the equation.

−1 /20 w = −2.5

Step 2: Multiply both sides by 20/(-1).

( 20/ −1 ) * ( −1/ 20 w) = ( 20 /-1 ) * (−2.5)

w = 50

Answer:

the first one is  x=20. the second one is x=31.33 cm.

Step-by-step explanation:

1. x=20

2. x=31.33 cm

Hope this helps!!! :)

The correct answer is: The median is the best measure of center, and it equals 19.

A box plot, also known as a box-and-whisker plot, is a graph that displays the distribution of a dataset.

The box represents the middle 50% of the data, with the bottom of the box being the first quartile (Q1) and the top of the box being the third quartile (Q3). The line inside the box represents the median.

The "whiskers" extend from the box to the dataset's minimum and maximum values or, in the case of outliers, a specific distance from the box (often 1.5 times the interquartile range).

The box plot in this instance reveals that the median number of tickets sold was 19, with the middle 50% of the data falling between 17 and 21 tickets sold.

A minimum of 10 and a maximum of 27 tickets may be sold before the whiskers are removed.

The median is the most suitable measure of the center for this dataset since it is the measure of the center that represents the middle of the dataset.

In light of this, the answer is "The median is the best measure of center, and it equals 19."

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's solve ~

Cost price for each Orange :

\(\qquad \tt \dashrightarrow \: \dfrac{60}{200} \)

\(\qquad \tt \dashrightarrow \:0.3 \: \: kobo\)

Now, Cost price for 8 oranges :

\(\qquad \tt \dashrightarrow \:0.3 \times 8\)

\(\qquad \tt \dashrightarrow \:2.4 \: \: kobo\)

And we have been given that selling price for 8 oranges is 12 kobo.

Therefore, the gain is :

\(\qquad \tt \dashrightarrow \:12 - 2.4\)

\(\qquad \tt \dashrightarrow \:9.6 \: \: kobo\)

Percentage gain is ~

\(\qquad \tt \dashrightarrow \: \dfrac{9.6}{2.4} \times 100\)

\(\qquad \tt \dashrightarrow \:4 \times 100\)

\(\qquad \tt \dashrightarrow \:400 \: \%\)

The ratio is  15+\(r_2\) : \(12+r_1\).

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit

=> A = \(2\pi r(h+r)\) square unit.

Now Height = 12 in , radius = r1 then,

=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1

Now Height = 15 in , radius = r2 then,

=>\(A_2=2\pi r_2(15+r_2)\)-------> 2

Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,

=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)

=>\(15+r_2:12+r_1\)

Hence the ratio is \(15+r_2:12+r_1\).

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Answer:

25:16

Step-by-step explanation:

I took the

Answer:

323

Step-by-step explanation:

310 + 13

300

10 + 10 = 20

3

300 + 20 + 3 = 323

Answer:

323

Step-by-step explanation:

you add the numbers

Answer:

This can be expanded to x⁴ - 6x²

Step-by-step explanation:

\(x^2(x^2 - 6)\\= x^4 - 6x^2\)

Answer:

If by expanding you mean solving, you answer is x^4−6x²

Step-by-step explanation:

x²(x²-6)

(x²)(x²-6)

(x²)(x²)+(x²)(-6)

x^4-6x²

Answer:12, 84 and 84

Step-by-step explanation:

since we  know 3 angles of a triangle = 180 degrees

1 angle = 12 degrees

12 + x + x = 180

12 + 2x = 180

2x= 180 - 12

2x = 168

x = 168/2

x = 84 degrees

Hope it helps! Mark it as Braniest

Answer:

64° , 64° , 52°

Step-by-step explanation:

       The two angles that are same be 'x'

        Third angle = x  - 12

Sum of all angles of triangle = 180

                      x + x + x -12      = 180

                                   3x - 12 = 180

                                          3x = 180 + 12

                                          3x = 192

                                             x = 192/3

                                             x = 64

x - 12 = 64 - 12

         = 52

Answer:

∠5  is supplementary.

It forms a straight angle with ∠1.

Answer:  6

Step-by-step explanation:

Just translate it. I'll call the number "\(x\)":

\(2(x + 11) = 34\)

\(x + 11 = 17\)

\(x = \boxed6\)

Answer:

the answer to your question would be 11.5.

Step-by-step explanation:

I found this answer by taking 34 subtracting 11 and then dividing that by 2.

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

Lines 'c' and 'd' are the parallel lines a transversal line is intersecting these lines.

m∠2 = 124° [Corresponding angles]

m∠7 = 124° [Vertically opposite angles]

m∠2 = m∠3 = 124° [Vertically opposite angles]

Therefore, angles ∠2, ∠7 and ∠3 measure 124°.

Option (4) will be the answer.

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

D) F

Step-by-step explanation:

1) From the picture, we see that we have two vertical angles:

2) Now, because of the "Vertical Angles Postulate" from geometry, we know that angles A and B are equal, so equalling the angles and replacing by their expression from above, we get the following equation in terms of x:

3) We must solve the last equation for x, doing that we find:

Steps to solve the equation

0) We have the equation:

1) We want all the terms with x on one side, and the other on the other one. So we pass the term +3x to the right as -3x:

2) Now we pass the term -10 to the left as +10:

3) We sum the terms on each side:

4) We pass the 3 that multiplies the x on the right, dividing the 60 on the left:

5) Finally we make the division and we get:

Answer

x = 20

Step 1

Write an expression for the area of a circle

Where π = 3.14

r = radius = 4ft

Step 2

Substitute in the values and find the area of the circle.

Hence the area of the circle = 50.24ft²

Answer:

a) $4,475.20

b) it would take approximately 0.846 years or approximately 10 months to pay off the loan.

Step-by-step explanation:

if we nevermind the deposit and repayment dates, since they are not relevant for this case, so we have only a loan for $800 to be repaid in 22 weeks, at 203.40 every other week, biweekly namely.

Now, we can also nevermind the biweekly part, 22 payments are 22 regardless if it's done daily or yearly or bimonthly or bidecade, 22 is just 22.

a)

22 payments at 203.4 is just (22)(203.4) = 4474.8.

b)

how long does that take?

well, hell the loaner doesn't give much choices, you pay it every other week 22 times, how many weeks is that? 22*2 = 44 weeks.

Since we know a year has 52 weeks, then 44 weeks is just 44/52 of a year, namely

\(\cfrac{44}{52}\implies \cfrac{11}{13} ~~ \approx ~~ \text{\LARGE 0.85}~years\)