Drag each equation to its equivalent fact. DUE TODAY

Answer:

c²=a²+b². 13²=12²+b² 169=144+b². b² =√25=5

Step-by-step explanation:

13² = ?² + 12²

169 - 144 = ?²

√25 = ?

5 yards = ?

Answer:

95

Step-by-step explanation:

9025 is a perfect square of 95. hence the number of rows is 95.

[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]

[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]

[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]

[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]

[tex]☞︎︎︎ \: x = 95[/tex]

Slope = change in y / change in x

slope = (0 - 13) / (7 - -14)

slope = -13/28

Answer:

x = 4; y = 3; z = 2

Step-by-step explanation:

3x + 2y + z = 20

x - 4y - z = -10

2x + y + 2z = 15

6x + 4y + 2z = 40

 x  - 4y  - z   = -10

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

7x            + z = 30

 x  - 4y  -    z = -10

8x + 4y  + 8z = 60

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

9x            + 7z = 50

z = 30 - 7x

9x + 7(30 - 7x) = 50

9x + 210 - 49x = 50

-40x = -160

x = 4

z = 30 - 7(4)

z = 2

2x + y + 2z = 15

2(4) + y + 2(2) = 15

y = 3

x = 4; y = 3; z = 2

Answer:Yes

Step-by-step explanation:His complaint is valid.

Answer:

23 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle = 180

z + 62 + 95  = 180

z = 23 degrees

Using the z-distribution, as we are working with a proportion, it is found that you should sample 577 households.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

In this problem, the estimate is of [tex]\pi = 0.6[/tex], and we want a margin of error of M = 0.05, hence we solve for n to find the sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.6(0.4)}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.6(0.4)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.6(0.4)}}{0.05}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.6(0.4)}}{0.05}\right)^2[/tex]

[tex]n = 576.24[/tex]

Rounding up, you should sample 577 households.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

$318

Step-by-step explanation:

6% x 300 = 18

300 + 18 = 318

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

[tex]\sf y=\dfrac{35}{x}[/tex]

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

Question 6

As the x-value increases, the y-value increases.  The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

[tex]\sf y=5^x[/tex]

Answer:

Cost Price = Marked Price -Discount - Profit

CP = 4000-400-400

Cost price = 3200

Rs. 3200

The answer iis in the above picture hope you like it. Pls mark brainliest

Answer:

8/5 = 8/5

1/2 = 6/12

7/3 = 7/3

Step-by-step explanation:

1/4=5/10

5/10 = 1/2

False

8/5=8/5

True

9/8=7/8

False

1/2=6/12

6/12 = =1/2

True

7/3=7/3

True

9/10=10/9

False

The ladder and the outside wall form a right triangle

The distance from the base of the ladder is 7.89 feet

The given parameters are:

Length (L) = 18 feet

Angle of elevation (θ) = 64 degrees

The distance (D) from the base of the ladder is calculated using the following cosine ratio

cos(θ) = D/L

So, we have:

cos(64) = D/18

Make L the subject

D = 18 * cos(64)

Evaluate the product

D = 7.89

Hence, the distance from the base of the ladder is 7.89 feet

Read more about right triangles at:

https://brainly.com/question/2437195

a

Radical roots occur as conjugate pairs

Given - 5 + t is a root , then

- 5 - t is also a root → a

Answer:

look at each pair. examine each notice exponents so you find the hidden gcf

Step-by-step explanation:

bro what.... finish the question...

Answer:

7/2  n    ounces of banana

Step-by-step explanation:

a / b = 2/7

re-arrange to

7/2 a = b

n ounces of apple would result in

7/2 n   = banana chip ounces

Answer:

The x-intercepts are [tex](2,0)[/tex] and [tex](-4,0)[/tex].

Step-by-step explanation:

We are given the equation

[tex]2(x+1)^2=18[/tex]

Begin by dividing both sides of the equation by 2:

[tex](x+1)^2=9[/tex]

Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:

[tex]x+1=\pm3[/tex]

Split the equation into two based on the two solutions:

[tex]x+1=-3[/tex]

[tex]x+1=3[/tex]

Solve each equation by subtracting 1 from both sides:

[tex]x=-4\\ x=2[/tex]

Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).

Answer:

Convert 9 1/10 to an improper fraction.

Decimal form

=9.1

Answer:

9.1

There are other, more complicated ways to do this, but we must start with an easier, understandable way first.

__________________________________________________________

Ask in the comments box.

Answer:

21.43

Step-by-step explanation:

Turn 7 percent to a decimal: 0.07

8800 × 0.07 = 616

13,200÷616=21.4285 etc

Round two decimal places

21.43

Answer:

Made in how long of a workshift?

Step-by-step explanation:

Answer:

9d^2(5d−2)

Step-by-step explanation:

Applying the Pythagorean theorem, the amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.

The Pythagorean theorem is used to find a side of a right triangle, and it states that if c is the hypotenuse and a and b are the other legs, therefore: c² = a² + b².

Find the altitude/height of the triangle using the Pythagorean theorem:

height = √(13² - 5²)

height = 12

Also, use the Pythagorean theorem to find the missing side (part of the longest side of the main triangle):

missing side = √(15² - 12²) = 9

Amount of inches of wood required = Perimeter of triangle = 15 + 13 + 9 = 37 inches.

Learn more about the Pythagorean theorem on:

https://brainly.com/question/16176867

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=10297\\ h=21 \end{cases}\implies 10297=\pi r^2(21)\implies \cfrac{10297}{21\pi }=r^2 \\\\\\ \cfrac{1471}{3\pi }=r^2\implies \sqrt{\cfrac{1471}{3\pi }}=r\implies 12\approx r[/tex]

Answer:

n+6=x

Step-by-step explanation:

Each number is six more than the previous number.  Adding six to the previous number, n, gets us the next term in the sequence, x.

Answer:

1100 units³

First calculate the Base Area:

parallelogram area:

Base * Height

11 * 10

110 units²

Volume:

Base Area * Length

110 * 10

1100 units³

Answer:

volume = 1100 cm³

Step-by-step explanation:

[tex]\textsf{Volume of an oblique rectangular prism}=l \cdot w \cdot h[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\implies \textsf{Volume}=11 \cdot 10 \cdot 10 = 1100\: \sf cm^3[/tex]

Answer: 250

Step-by-step explanation:

This problem is attempting to explain the distributive property to you.

The distributive property states that if you have the numbers a, b, and c:

[tex](a*c) + (b*c) = c * (a+b)[/tex]

In your specific case, this would look like this:

[tex](23+37) * 4\frac{1}{6}[/tex]

[tex]60 * \frac{(4*6)+1}{6}[/tex]

[tex]60*\frac{25}{6}[/tex]

To simplify, we factor a 6 out of the equation:

[tex]10*25 = 250[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

The required equation is :

[tex] \qquad \sf \dashrightarrow\: y = asin(bx) +k [/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex] \qquad\dashrightarrow \sf\: y = -3sin(\frac{\pi}{2}x)+1 [/tex]

Step-by-step explanation:

Length = 6x

width = let x be width

Perimeter = 84 in

Now

Perimeter = 2 ( l + b )

84 = 2 ( 6x + x )

84 = 2 × 7x

84 / 2 = 7x

42 = 7x

x = 42 / 7

x = 6

now

width = 6 yards

length = 6x = 6 × 6 = 36 yards

now

area = l × b

= 6 × 36 yd

= 216 yd²

The twenty units of potatoes illustrates the measure of central tendency  and probability

Start by sorting the dataset:

0.19; 0.28; 0.55;

0.62; 0.68; 0.77;

0.88; 0.89; 0.98;

0.99; 1.11; 1.22;

1.22; 1.22; 1.33;

1.44; 1.48; 1.68;

1.77; 1.99

The highest occuring element is 1.22 with a frequency of 3

The two middle elements are 0.99 and 1.11.

The mean of these two middle elements is: 0.5 * (0.99 + 1.11) = 1.05

The mean of the whole dataset is:

Mean = (0.19+ 0.28+ 0.55+ 0.62+ 0.68+ 0.77+ 0.88+ 0.89+ 0.98+ 0.99+ 1.11+ 1.22+1.22+ 1.22+ 1.33+ 1.44+ 1.48+ 1.68+1.77+1.99)/20

Mean = 1.06

Hence, the modal weight is 1.22, the mean is 1.06, and the median is 1.05

(a) at least 1.1 kg

There are 10 potatoes that weigh at least 1.1 kg.

So, the probability is:

P = 10/20

P = 0.5

(b) more than 3.5kg

There are 0 potatoes that weigh more than 3.5 kg.

So, the probability is:

P = 0/20

P = 0

(c) below 0.50kg

There are 2 potatoes that weigh below 0.50 kg.

So, the probability is:

P = 2/20

P = 0.1

The Variance of the weight.

This is calculated as:

Var = [tex]\sum[/tex](x - mean)^2/n

This gives

Var = [(0.19 - 1.06)^2 + (0.28 - 1.06)^2 + (0.55 - 1.06)^2 + (0.62 - 1.06)^2 + (0.68 - 1.06)^2 + (0.77 - 1.06)^2 + (0.88 - 1.06)^2 + (0.89 - 1.06)^2 + (0.98 - 1.06)^2 + (0.99 - 1.06)^2 + (1.11 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.33 - 1.06)^2 + (1.44 - 1.06)^2 + (1.48 - 1.06)^2 + (1.68 - 1.06)^2 + (1.77 - 1.06)^2 + (1.99 - 1.06)^2]/20

Evaluate

Var = 0.22

This means that:

The expectation of the squared deviation of the random variable from the mean is 0.22 kg

Read more about measure of central tendency at:

https://brainly.com/question/17631693

Answer:

0.22 kg

Step-by-step explanation:

Answer:

61.4-67.6 - 68.37% likely to fall within this range.

58.3-70.7 - 95.45% likely to fall within this range.

55.2-73.8 - 99.73% likely to fall within this range.

Step-by-step explanation: