Which of the following equations represents the graph shown?

Answer:

The answer is 7 ⇒ answer (C)

Step-by-step explanation:

∵ (3 + √2)(3 - √2) =

  9 - 3√2 + 3√2 - 2 = 9 - 2 = 7

∴ The answer is 7

For this case we must simplify the following expression:

[tex](3+ \sqrt {2}) (3- \sqrt {2})[/tex]

We apply distributive property:

[tex]9-3 \sqrt {2} +3 \sqrt {2} - \sqrt {2} * \sqrt {2} =[/tex]

We take into account that different signs are subtracted and the sign of the major is placed:

[tex]9 - (\sqrt {2}) ^ 2 =\\9-2 =[/tex]

We take into account that different signs are subtracted and the sign of the major is placed:

[tex]9-2=7[/tex]

So, we have:

[tex](3+ \sqrt {2}) (3- \sqrt {2}) = 7[/tex]

Answer:

Option C

Answer:

See picture.

Step-by-step explanation:

This line is in point slope form [tex]y - y_1 = m(x-x_1)[/tex] where [tex](x_1, y_1)[/tex] is a point on the line. Begin graphing the line by first graphing the point (-3, 3) from the equation. Then move up 1 unit and over 2 units according to slope. This new point is (-1,4).

Answer mine!

Step-by-step explanation:

Answer my question to please!!

The original blanket was a square with side 31 inches both in length and width. After adding 1 foot to one side, and subtracting 4 inches from the other, new dimensions are 43 inches and 27 inches, respectively. Thus, the new area of the blanket is 1161 square inches.

To solve this problem, we first need to note that the area of a rectangle (which our blanket has now become) is the product of its length and width. Since Kiara's blanket was originally a square before she added 1 foot to one side (12 inches) and subtracted 4 inches from the adjacent side, the original side length was the square root of the given area, i.e., √960 inch² = 31 inch. So, one dimension after alteration is 31 inches + 12 inches = 43 inches, and the other (after cutting) is 31 inches - 4 inches = 27 inches. Therefore, the new area of the blanket is 43 inches x 27 inches which equals 1161 square inches.

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The area​ of the original blanket is 784² square inches

Let's denote the side length of the original square blanket as 'x' inches.

After adding 1 foot (12 inches) to one side, the length of that side becomes x + 12 inches.

After cutting 4 inches off from an adjacent side, the length of that side becomes x - 4 inches.

We are given that the area of the resulting blanket is 960 square inches. This can be expressed as:

(x + 12)(x - 4) = 960

Expanding the left side of the equation, we get:

x^2 + 8x - 48 = 960

Adding 48 to both sides of the equation, we get:

x^2 + 8x = 1008

Dividing both sides of the equation by x, we get:

x + 8 = 1008/x

Solving for x using a quadratic equation solver or by trying out different values, we find that x ≈ 28.

Therefore, the area of the original square blanket is:

x^2 = 28^2 = 784 square inches

Complete question

Kiara made a square baby blanket. She decided to add 1 foot of material to one side, then cut 4 inches of material off from an adjacent side. The area of the resulting blanket is 960 square inches. Find the area of the original blanket. A) 625in^2 amazed B) 676in^2 perplexed C) 729in^2 thrilled D) 784in^2 baffled

The lowest terms are 3/4 using the the least common denominator. The equivalent fraction over 32 would be 24/32 because it would reduce to 3/4 as well

Given:

The fraction value is:

[tex]\dfrac{12}{16}[/tex]

To find:

The simplified form of the given value and then find the equivalent fraction that has a denominator of 32.

Solution:

We have,

[tex]\dfrac{12}{16}[/tex]

It can be written as:

[tex]=\dfrac{3\times 4}{4\times 4}[/tex]

Cancel out the common factors.

[tex]=\dfrac{3}{4}[/tex]

Therefore, the simplified form of the given fraction is [tex]\dfrac{3}{4}[/tex].

Multiply numerator and denominator by 8 to find the equivalent fraction that has a denominator of 32.

[tex]\dfrac{3\times 8}{4\times 8}=\dfrac{24}{32}[/tex]

Therefore, the equivalent fraction that has a denominator of 32 is [tex]\dfrac{24}{32}[/tex].

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The product of −8/5, −3/2, and −10 is −24. The calculation involves two steps: first multiplying the two negative fractions, which results in a positive product, and then multiplying that result by a negative integer, resulting in a negative final product.

To find the product of −8/5, −3/2, and −10, you multiply the three numbers together.

Remember that when you multiply two negative numbers, the result is positive, and when you multiply a negative number by a positive number, the result is negative.

Multiplying −8/5 and −3/2 first gives:

(−8/5) × (−3/2) = 24/10 = 2.4, and since both numbers are negative, the result is positive.

Now, multiply the result by −10:

2.4 × (−10) = −24. Since you are now multiplying a positive number by a negative number, the result is negative.

Therefore, −8/5 multiplied by −3/2 and then by −10 results in −24.

The product is [tex]\(-24\)[/tex].

To find the product of the given expressions, you simply multiply the numbers together.

[tex]\[\left(-\frac{8}{5}\right) \cdot \left(-\frac{3}{2}\right) \cdot \left(-10\right)\][/tex]

First, multiply the fractions:

[tex]\[\left(-\frac{8}{5}\right) \cdot \left(-\frac{3}{2}\right) = \frac{24}{10}\][/tex]

Now, multiply the result by the remaining number:

[tex]\[\frac{24}{10} \cdot (-10) = -24\][/tex]

Complete the question:

Find the product -8/5(- 3/2)(-10​)

Answer:

The answer is probably E (placebos)

Step-by-step explanation:

Because the sugar tablets will do nothing to the patient, the reasearcher wants to see how the patient will act thinking that they are being treated with medication, when infact it is just a sugar tablet, he is trying to find out the psychological effect it will have on the patient, so the answer is E.

The sugar tablets devoid of any medical effects are most likely used as placebos in medical research. They serve as a control measure in drug trials to ensure any observed changes are attributed to the medication being tested and not from biases or expectations.

In the field of medical research, sugar tablets without any medical effects are likely used as placebos. Placebos are administered as control measures in experimental studies to ensure that any observed effects can be attributed to the medication being tested, rather than participant expectations or experimenter bias. For instance, in a drug trial, one group (the experimental group) receives the medication, while another group (the control group) receives a placebo, in this case, a sugar tablet. If the experimental group shows different results as compared to the control group, it can be deduced the differences are likely due to the drug itself. This process helps to maintain the integrity and credibility of medical research.

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I think it is 63cm3.

Answer:

63 cm³

Step-by-step explanation:

The linear ratio between the 2 cylinders = 1 : 4

The volume ratio = 1³ : 4³ = 1 : 64

Thus the volume is 64 times smaller than the large cylinder

volume = [tex]\frac{4032}{64}[/tex] = 63 cm³

one apple left you subtract 5 from 4 and get 1

Answer:

1

Step-by-step explanation:

ok so if john had 5 but then micky mouse said oh no this is worng and mutiplie that by 903238424203849 x 0q98e0qw98e9q0we9w0q that is if the answer your looking for is 1 :>

Answer: the answer is 25 people

Step-by-step explanation:

To determine how many people prefer banana-flavored frozen yogurt, calculate 4% of the 50 people surveyed. The calculation (4/100) × 50 results in 2 people preferring banana flavor.

The student is asking how many people prefer banana flavor based on a pie chart that displays the percentage breakdown of favorite flavors of frozen yogurt. To find the number of people who prefer banana flavor, we need to calculate 4% of the 50 people surveyed because the pie chart indicates that banana flavor is preferred by 4% of the participants. Here's a step-by-step breakdown:

Therefore, 2 people out of the 50 surveyed prefer banana frozen yogurt.

Answer:

0.115 kilometers

Step-by-step explanation:

One kilometer is equal to 1,000 meters, so 115 meters is

115/1,000 kilometers,  or 0.115 kilometers

Answer: n = 63

Step-by-step explanation:

n ÷ 21 = 3

Do the opposite to find n!

3 × 21 = 63

So, to check our answer

63 ÷ 21 = 3

n = 3

:))

Answer:

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

Answer:

Check by substituting the solutions back into  [tex]\frac{n}{21} =3[/tex]

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hope it helps...

have a great day!!

Answer:

eight cubes can be shipped.

Step-by-step explanation:

The height of the shipping box is the same as the height of the boxes that are about to be shipped. (4 1/2 inches). So you can get 1 layer of the boxes to be shipped.

The length of the shipping box is 18 inches. You will be able to get 18/4.5 = 4 boxes along the 18 inch side.

The 9 inch side will allow 2 boxes.

In all you can ship 2 * 4 boxes in the shipping box which is eight 4 1/2 inch cubes in all.

Answer:

12/80 as a decimal equals 0.15

Step-by-step explanation:

Answer: -0.15

Step-by-step explanation:

Get both sides on 100

12 + 12 * 1/4 = 15

80 + 80 * 1/4 = 100

-15/100 = -0.15

Answer:

The answer is "Market" economy

Answer:

A Market economy is based on personal choice.

Step-by-step explanation:

Edge 2021-2022

Answer:

300

Step-by-step explanation:

A number cube has total six possible outcomes:

1, 2, 3, 4, 5 and 6

Probability of the occurrence of each side is: 1/6

From the possible outcomes, the even number are 2,4,6

Therefore the probability of the occurrence of an even number is:

1/6 + 1/6 + 1/6

=> 3/6

=> 1/2

1/2 probability shows that if a number cube is rolled 'n' times, (1/2)*n number of chances are it is an even number.

So the expectation of rolling an even number with 600 trials is:

(1/2)*600

=> 300    

Answer:

its numbers

Step-by-step explanation:

Answer:

4.86

Step-by-step explanation:

27*.18=4.86

Answer:

4.86

Step-by-step explanation:

The decimal form of 18% is 0.18. Multiply that by 27 to get 18% of 27

27 x 0.18 = 4.86

Hope this helps!

Please give me brainliest answer! Thanks!

here is the solution to the question

Answer:

a^2 + b^2 = c^2 so

10^2 + 12^2 = Distance

100 + 144 = C^2

15.62 ft=C or the distance of slide

Step-by-step explanation:

5/6 × 3/4

=5/2 × 1/4

=5/8

Answer

5/8 students buy orange juice

To find the fraction of students who buy orange juice, we first find the fraction of students who buy juice and then multiply it by the fraction that buy orange juice.

To find the fraction of students who buy orange juice, we first need to determine the fraction of students who buy juice. Since 5/6 of students buy juice, this means that 5/6 of the total number of students buy juice.

Next, we need to determine the fraction of students who buy orange juice out of those who buy juice. Since 3/4 of the students who buy juice buy orange juice, this means that 3/4 * 5/6 of the total number of students buy orange juice.

To find the final fraction, we multiply the two fractions:

3/4 * 5/6 = (3 * 5) / (4 * 6) = 15 / 24 = 5/8

Therefore, the fraction of students who buy orange juice is 5/8.

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Answer:

A, E

Step-by-step explanation:

The function is the rule that maps to each x exactly one y (these y can be the same). Thus the given graph represents the function (option C is false).

The domain of the function are all possible values for x. Thus, from the given graph the domain of the function are all real numbers (option E is true, option D is false).

The range of the function are all possible values for y. Thus, from the given graph the range of the function is the set {3} (option A is true, option B is false).

Answer:

A&E

range is the y axis so its stuck at 3 and the

domain is all real numbers

A&E

Answer:

27 views

Step-by-step explanation:

Week 1: 15 views

Week 2: 15 x 1.22 = 18.3 views

Week 3: 18.3 x 1.22 = 22.326 views

Week 4: 22.326 x 1.22 = 27.24 views

The correct option is C

See the attached image

Answer:

if you mean minutes the answer is 150 seconds

Step-by-step explanation:

each minute is 60 seconds so 2 minutes is 120 and the half a minute is 30 seconds so 60+60+30=150

if you ment hours then the answer is 9000 seconds

2 and a half days= 216000

Answer: Depends

Step-by-step explanation: For minutes, it's 150 seconds. Every minute is 60 seconds, and 2.5*60 = 150. If you mean hours, then it's 9000 seconds. That equation would be [tex](60*60)*2.5[/tex]. If you mean milliseconds, then it would be 0.0025 seconds.

I think the correct answer is C

Answer:

D) d,c,a,b

Step-by-step explanation:

To arrange the fractions in the order requested we have to express them to a common denominator . This is done by finding the Least common multiple of the denominators. Thus, the fractions,7/3, 8/2, 2/1,6/5, the L.C.M of the denominators is 30 thus lets divide the L.C.M by the denominator of each number then multiply with the numerator.

7/3=70/30

8/2=120/30

2/1=60/30

6/5=36/30

thus from the least  to the largest we arrange them as follows 6/5, 2/1, 7/3 then 8/2

Answer:

[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

The general form of an equation of a circle:

[tex]x^2+y^2+Dx+Ey+F=0[/tex]

We have the center (-2, 1). Substitute to the equation in the standard form:

[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]

Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:

[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]

Therefore we have the equation:

[tex](x+2)^2+(y-1)^2=4[/tex]

Convert to the general form.

Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]

[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]

Answer:

A. 120(3)t = 3,240; t = 3

Step-by-step explanation:

We are given that enrollment capacity for first year = 120

The school plans to triple the capacity every year.

Assuming t to be the number of years, the capacity for every t year will be [tex]3^t[/tex].

This is expressed by the equation [tex]120(3)^t = 3240[/tex]

Substituting t =3 in the above equation to get:

[tex]120(3)^3 = 120\times 27=[/tex] 3240

So the equation is true when t = 3.

Therefore, the correct answer option is A. 120(3)t = 3,240; t = 3.

Answer: the one your looking for is A

Answer:

A

Step-by-step explanation:

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{7}{17.46}[/tex] ≈ 0.40 → A

Answer:

B is correct

Step-by-step explanation:

-(-x) = x, because a double negative like this equals a positive.

Therefore, you are actually saying -x+x= 0 which is true.

Equation B. is true for all values of x.

Final answer:

To find out how much of the $13,000 was loaned at 8%, set up a system of equations based on the total amount of the loan and the total interest received. Solve the equations to find that $7,250 was loaned at an 8% interest rate.

Explanation:

The student is dealing with a problem related to the allocation of two different simple interest rates for portions of a loan. To find out how much was loaned at 8%, we set up two equations representing the amounts loaned at each rate and the total interest earned. Let's assume the amount loaned at 8% is x and the amount loaned at 16% is y. The following system of equations can be formed:

By solving this system of equations, we can determine the value of x and y.

The first step is to express y in terms of x from the first equation: y = 13000 - x. Next, we substitute this expression into the second equation: 0.08x + 0.16(13000 - x) = 1500. Simplifying this gives us 0.08x + 2080 - 0.16x = 1500, which further simplifies to -0.08x = -580. Dividing by -0.08, we find x = 7250. Therefore, $7,250 was loaned at 8%.

Answer:  [tex]\bold{\dfrac{3\pi}{2}}[/tex]

Step-by-step explanation:

Coterminal means it is in the same place on the Unit Circle but one or more rotations clockwise or counterclockwise.

Note: one rotation is 2π (which is equivalent to [tex]\frac{4\pi}{2}[/tex])

[tex]-\dfrac{13\pi}{2}+\dfrac{4\pi}{2}=-\dfrac{9\pi}{2}\\\\.\qquad\qquad\quad=-\dfrac{9\pi}{2}+\dfrac{4\pi}{2}=-\dfrac{5\pi}{2}\\\\.\qquad\qquad\qquad\qquad\qquad\quad=-\dfrac{5\pi}{2}+\dfrac{4\pi}{2}=-\dfrac{\pi}{2}\\\\.\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad=-\dfrac{\pi}{2}+\dfrac{4\pi}{2}=\dfrac{3\pi}{2}\\\\\\\dfrac{3\pi}{2}\text{ is between 0 and }2\pi\text{ so this is the angle we are looking for!}[/tex]