Mr Johnson's plans to fence the triangular section of a backyard for a dog run

Answer:

7%

Step-by-step explanation:

Step one:

given data

The original cost of Sam’s investment is $10,000

Sam calculated his real return to be $10,700

Required:

the interest made from the investment is

10700-10000= $700

Step two:

The ROI is a percentage that tells us the interest made

interest/investment*100

=700/10000*100

=0.07*100

= 7%

The ROI is 7%

Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

y-6x=0 or y = 6x

Step-by-step explanation:

To find the slope of the second line, we can use the formula:

\(m_{2}=\frac{-1}{m_{1} }\), where m2 is the slope of the second line (unknown) and m1 is the slope of the first line (given/known)

Currently the line x + 6y = 6 is in standard form and we can convert it to slope-intercept form (y = mx + b) to find the slope:

\(x+6y=6\\6y=6-x\\y=\frac{6-x}{6}\\ y=1-1/6x\)

Thus, the slope of first line (m1) is -1/6.

Now we can use this value to find the slope of the second line (m2):

\(m_{2}=-1/(-1/6)\\ m_{2}=6\)

Since we found the slope, now we must find the y-intercept of the line by plugging in the slope and the point we're given:

\(-6=6(-1)+b\\-6=-6+b\\0=b\)

Thus, the equation of the line in slope intercept form is y = 6x

To convert it to standard form like the first line, we simply subtract 6x to get

y-6x = 0

The triangle having 34 in, 28 in, and 42 is an obtuse triangle

To determine the type of a  triangle, whether it is an acute, obtuse, or right angles triangle, the application of the Pythagorean theorem is required.

The Pythagorean theorem formula is

A²= B²+C²

Given that the 3-side length is 28,34 and 42

substituting it in the formula we get:

34² + 28² = 1856 and then he bought

42² = 1764

Since 1764 is less than 1856, we can conclude that the triangle is obtuse.

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Answer:

below

Step-by-step explanation:

Rewrite the expression using the negative exponent rule  

b ^− n =1/ b^ n  . 1 x^ 7

Using expression 2² * 3, Tony can pack 12 DVDs in each box.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that represents a value or a quantity. Expressions can be written using various mathematical symbols such as addition, subtraction, multiplication, division, exponents, and parentheses.

Now,

To find the greatest number of DVDs Tony can pack in each box, we need to find the greatest common divisor (GCD) of the three numbers: 12, 24, and 30.

Now,

12 = 2² * 3

24 = 2³ * 3

30 = 2 * 3 * 5

Then, we can find the GCD by multiplying the common factors raised to their lowest powers:

GCD = 2² * 3 = 12

Therefore, Tony can pack 12 DVDs in each box. He would need 1 box for the comedy DVDs, 2 boxes for the animated DVDs, and 2.5 boxes for the musical DVDs (which could be rounded up to 3 boxes).

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Answer:

c=3

Step-by-step explanation:

Answer: I think

Step-by-step explanation:

The numbers greater than 1 and less than 0 cannot be a probability of any event.

Properties of probability. In words, this means that probability of an even must be a number between 0 and 1 (inclusive).

Answer: Choke me, like you hate me

But you love me

Lowkey wanna date me

When you f.ck me

Touch me with the lights off, and my chains on

Baby, I'm not the right one you should wait on

She's a freak, lil' bad h-o-e

Gaspare told me kill it, I said lemme grab my death note

She pull me in, like a lasso

Sayin' that she know me, I don't even know her though

Ain't no dad-dy issues, then I won't even bother

She say I kill her cat, like I'm Luka Magnotta

Real bad b.tch, p.ssy bald like Saitama

They used to hate me, now they want me

B.tch, I feel like I'm Gaara

Girl, you f.ckin' with the wrong one

F.ck his team, f.ck your clique, b.tch I'm on one

F.ck your stream, f.ck your clip, you ain't saw one

Got your b.tch on my d.ck, like she want one

Step-by-step explanation: STAN CORPSE HUSBAND 2021

Answer:

what a beautiful piece of music

Step-by-step explanation:

it just is

Answer:

The slope between the two points: (3, 20) and (5, 8) is -6.​

Step-by-step explanation:

Put the points in the slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

Substitute the values.

m = (8 - 20)/(5 - 3)

Subtract.

m = (-12)/2

Divide.

m = -6

Allura, this is the solution:

As you can see we have two right triangles in the figure:

Therefore,

Step 1: Let's calculate the hypotenuse of the left triangle, as follows:

c² = a² + b²

c² = 12² + 18²

c²= 144 + 324

c² = 468

c = 21.63

Step 2: Let's calculate the sides of the right triangle on the right, this way:

Leg 1 = 21.63

Leg 2 = x

Hypotenuse = 12 + y

Height of the right triangle = 18

In consequence, to find the value of the hypotenuse and y, we have:

c = 21.63²/√21.63² - 18²

c = 468/√468 - 324

c = 468/12

c = 39

Step 3: Now, we can solve for y, this way:

39 = 12 + y

y = 39 - 12

y = 27

The correct answer is D. 27

Answer:

20

Step-by-step explanation:

if you divide 50 from 2.5 you get 20

then take 20x2.5 and you get 50.

In order to analyze the use of their existing technology, the social media company randomly samples 50 days.

Given that their current average daily users are 2,500,000 with a standard deviation of 625,000 users, the company can calculate various statistical measures for the sample of 50 days. These measures include the sample mean, sample standard deviation, standard error of the mean, and the margin of error.

Sample Mean: The company can calculate the mean number of users for the 50 sampled days to estimate the average daily user count for the entire population.

Sample Standard Deviation: By calculating the standard deviation of the sample, the company can understand the variability of the user counts across the 50 days.

Standard Error of the Mean: The standard error of the mean provides an estimate of the uncertainty associated with the sample mean and helps in making inferences about the population mean.

Margin of Error: The margin of error indicates the range within which the true population mean is likely to fall. It is calculated using the standard error and allows the company to quantify the precision of their estimate.

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Answer:

y = 3x - 5

Step-by-step explanation:

3x-y=5

-3x     -3x

-y= -3x + 5

divide each number by -1

-y/-1 = y

-3x/-1 = 3x

5/-1 = -5

The equation 3x - y = 5 can be converted to slope-intercept form as follows: y = 3x - 5

Given is an equation 3x - y = 5, we need to convert it in slope-intercept form.

To convert the equation 3x - y = 5 into slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept, we need to isolate the variable "y" on one side of the equation.

Let's rearrange the given equation step by step:

Starting with 3x - y = 5, we can begin by moving the term involving "x" to the other side:

3x - y + y = 5 + y

Simplifying:

3x = y + 5

Now, let's isolate "y" by subtracting "y" from both sides:

3x - y = y + 5 - y

Simplifying:

3x - y = 5

To eliminate the "y" term on the left side, we can add "y" to both sides:

3x - y + y = 5 + y

Simplifying:

3x = 5 + y

Next, let's rearrange the equation to have "y" on the right side:

3x = y + 5

We can write this equation as:

y = 3x - 5

Now the equation is in slope-intercept form (y = mx + b), where the slope "m" is 3, and the y-intercept "b" is -5.

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The integral can be expressed as V = 8∫∫∫ c(1 - r^2/a^2 - r^2/b^2)^0.25 r^2sinϕ drdθdϕ where the limits of integration are 0 ≤ r ≤ (a^2b^2/(a^2sin^2θ + b^2cos^2θ))^0.5, 0 ≤ θ ≤ π/2, and 0 ≤ ϕ ≤ π/2.

The given equation represents an ellipsoid with semi-axes of length a, b, and c along the x, y, and z-axes, respectively. The volume of this ellipsoid is given by the formula:

V = (4/3)πabc

Therefore, to compute the volume of the region bounded by the given surface, we need to find the values of a, b, and c that satisfy the equation.

First, we can rewrite the equation as:

z^4 = c^4(1 - x^2/a^2 - y^2/b^2)

Taking the fourth root of both sides, we get:

z = ±c(1 - x^2/a^2 - y^2/b^2)^0.25

The volume of the region bounded by the surface is then given by the triple integral:

V = ∫∫∫ (2c(1 - x^2/a^2 - y^2/b^2)^0.25) dxdydz

where the limits of integration are determined by the bounds of the ellipsoid. Since the ellipsoid is symmetric with respect to the x, y, and z-axes, we can evaluate the integral over one octant and multiply the result by 8 to obtain the total volume.

Using a change of variables to polar coordinates (x = arcosθsinϕ, y = brsinθsinϕ, z = ccosϕ), the integral can be expressed as:

V = 8∫∫∫ c(1 - r^2/a^2 - r^2/b^2)^0.25 r^2sinϕ drdθdϕ

where the limits of integration are 0 ≤ r ≤ (a^2b^2/(a^2sin^2θ + b^2cos^2θ))^0.5, 0 ≤ θ ≤ π/2, and 0 ≤ ϕ ≤ π/2.

This integral can be evaluated using numerical methods or specialized software.

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Answer:

The length of the leg is 11 units.

Step-by-step explanation:

The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is \(\sqrt{2}\) times of the length of any of the legs. Hence, we get the following expression:

\(h = \sqrt{2} \cdot l\) (1)

Where:

\(l\) - Length of the leg, in units.

\(h\) - Hypotenuse, in units.

If we know that \(h = 11\sqrt{2}\), then the length of the leg is:

\(l = \frac{h}{\sqrt{2}}\)

\(l = 11\)

The length of the leg is 11 units.

Answer:

-3750

Step-by-step explanation:

+3750

The opposite of + is -

So it would be -3750

Step-by-step explanation:

Q7) 10% of 30=3

40% of 30 =3×4=12

30-12=18

the sale price of radio is 18

q8)purchase lose lemmons:0.99÷2=0.495

Bag of 6=2.50÷6=0.4166666667

so the better value is the bag of 6 for 2.50.

The correct effect on the width of a confidence interval can be described as follows:

i. As the sample size increases, the width of the confidence interval decreases.

ii. As the confidence level increases, the width of the confidence interval increases.

iii. As the standard error of the estimate increases, the width of the confidence interval increases.

i. As the sample size increases, the precision of the estimate improves. With a larger sample size, there is more information available, leading to a more accurate estimate, which results in a narrower confidence interval.

ii. The confidence level represents the desired level of certainty for the interval estimate. A higher confidence level requires a wider interval to accommodate a greater range of potential values.

iii. The standard error of the estimate measures the variability of the sample mean. As the standard error increases, it indicates greater uncertainty in the estimate, leading to a wider confidence interval to account for the increased variability.

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Answer:

37.5 miles per hour

Step-by-step explanation:

d= rt; d is distance (225 miles), r is rate, and t is time (6 hours)

225= 6r

225/6 = 6r/6

37.5= r

37.5 miles per hour

Hope this helps!

Answer:

10

Step-by-step explanation:

Answer:

(- 3, 2 )

Step-by-step explanation:

to find the start, do the reverse, that is move 1 unit to the right.

this means adding 1 to the x- coordinate

start = (- 4, 2 ) → (- 4 + 1, 2 ) → (- 3, 2 )

\(\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln\left( r^2s^{10}\sqrt[4]{r^2s^{10}} \right)\qquad \qquad \stackrel{\textit{let's for a second make}}{z = r^2s^{10}} \\\\\\ \ln\left(z\cdot \sqrt[4]{z} \right)\implies \ln\left(z\cdot z^{\frac{1}{4}} \right)\implies \ln\left(z^{1+\frac{1}{4}} \right)\implies \ln\left(z^{\frac{5}{4}} \right)\)

\(\stackrel{\textit{and substituting back}}{\ln\left( \left[ r^2s^{10} \right]^{\frac{5}{4}} \right)}\implies \ln\left( r^{2\cdot \frac{5}{4}} ~~ s^{10\cdot \frac{5}{4}} \right)\implies \ln\left( r^{\frac{5}{2}}~~s^{\frac{25}{2}} \right) \\\\\\ \ln\left( r^{\frac{5}{2}} \right)~~ + ~~\ln\left( s^{\frac{25}{2}} \right)\implies \stackrel{A}{\cfrac{5}{2}}\ln(r)~~ + ~~\stackrel{B}{\cfrac{25}{2}}\ln(s)\)

Answer:

x = 19

Step-by-step explanation:

See attched image.

Answer:

Step-by-step explanation:

sin 32 degree = x/48

0.529*48 = x

25.392 = x

x = 25.4 (after converting to the nearest tenth)

tan 62 degree = 25/x

1.88 = 25/x

x = 25/1.88

x = 13.29

x = 13.3 (after converting to the nearest tenth)

Answer:

All three products were already rounded to the nearest 5g.

"Algebra made Easy" 450g

“Terrible Trigonometry" 95g

Wrapping 120g

867.107844 Is the maximum Jemima might have to pay to post the parcel.

Step-by-step explanation:

510 divided by 79 = 6.455g per 510g

665g total of products so divide 665 by 510 now to get 1.30392157g per weight which brings us to the maximum total of 867.107844

Answer:

F(-3) = -5

Step-by-step explanation:

I got it right on the test

The standard equation of the circle will be (x+5)²+(y+5)²= 145

The center of the circle, which is the midpoint between those two locations, may be found first since you know the diameter endpoints.

formula for the midpoint

= ((x1+x2)/2, (y1+y2)/2)

Given points are - (3, 4), (−13, −14)

The circle's center is at (-5,-5)

Therefore, the circle's equation will take the form (x+5)²+(y+5)²=R², where R is the circle's radius.

The distance between a point on the circle and the circle's center in order to get the radius.

Therefore, let's calculate the distance between (-5, -5) and (-13,-14)

Radius R = √((-13+5)²+(-14+5)²) using the distance formula.

= 12.04

equation will be -

(x+5)²+(y+5)²= 145

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