Solve for n: n – 17 = 3 A. n = 14 B. n = 51 C. n = -14 D. n = 20

Answer:

B (1/2,-2)

Step-by-step explanation:

4b + 13c = -24 --(1)

12b - 5c = 16 --(2)

(1)x3

12b + 39c = -72 --(3)

(3)-(2)

12b + 39c - 12b + 5c = -72-16

c = -2

Sub c = -2 into (1)

4b = -24 - 13(-2)

b = 1/2

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think that its 61

Answer:

12a/4b = 3a/b

option C is correct answer

hope it helps

Answer:

Look at attached.

Step-by-step explanation:

A full circle is 360 degrees. So 180 represents half of the circle and 90 represents a quarter.

Answer:

chocolate 180°

Step-by-step explanation:

chocolate=180°

vanilla=90°

othere flavor=90°

the total degrees of the pie chart 360 °

Answer:

C) -8-11x-2.

Step-by-step explanation:

First solve the expression,

-2(4 - 3x)+(5x-2) = 11x-10

A) 11x-10 = 11x-10

B) -8+11x -2 = 11x-10

C) -8-11x-2 does not equal 11x-10. Instead -8-11x-2 = -11x-10

D) -8+6x+5x-2 = 11x-10

Hope this helped! :)

Answer:

C.Both answers A and B are true.

Step-by-step explanation:

My teacher told me that was right.

Both answer A and B are true about the Pythagorean Theorem.

Here,

We have to find about the Pythagorean Theorem and its converse.

What is Pythagorean Theorem?

Pythagorean Theorem is well known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Now,

In option A;  

It states about the Pythagorean Theorem,

Pythagorean theorem is well known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Hence, option A is true.

In the option B; converse of Pythagoras theorem states that;

If the square of a side is equal to the sum of the square of the other two sides, then triangle must be right triangle.

Hence option B is true.

Clearly, Both answer A and B are true about the Pythagorean Theorem.

learn more about the Pythagorean Theorem visit:

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Given:

The given figure represents the original parallelogram and the reduction.

To find:

The length of side A in the new parallelogram.

Solution:

We know that the original figure is always similar to its reduction. So, both parallelograms are similar to each other.

The corresponding sides of similar figures are proportional.

[tex]\dfrac{45}{18}=\dfrac{5}{A}[/tex]

[tex]45\times A=5\times 18[/tex]

[tex]45A=90[/tex]

Divide both sides by 45.

[tex]A=\dfrac{90}{45}[/tex]

[tex]A=2[/tex]

The length of side A in the new parallelogram is 2 cm. Therefore, the correct option is A.

Answer:

K and R      S and D

Step-by-step explanation: i hope this helps

25a² - 16b²

25*-2² - 16*3²

25*4 - 16*9

100 - 144

= -44

Answer:

Cross multiply:

7x4=8x2

Simplify:7*4=2*8

Multiply 7*4:

28=8*2

Multiply:8*2

28=16

Solving 28=16

4:4

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)  looks like about 180  ( by the graph)

b)  February was the only month where the average was about 70

c) yes, b/c this graph has months along the bottom,  as the independent variable and the rain fall in each as the dependent so the amount of rain is a function of each month

Answer:

The function that can be used to describe the number (n) of bacteria after 2 minutes is;

[tex]P = 4 \cdot e^{\left(\dfrac{ln(32)}{5} \times 2\right)} \approx 4 \cdot e^{\left(0.693\times 2\right)}[/tex]

Step-by-step explanation:

The data in the table are presented as follows;

Number of bacteria; 4, 128, 4,096, 131,072

Number of minutes from initial state; 0, 5, 10, 15

The general equation for population growth is presented as follows;

[tex]P = P_0 \cdot e^{r\cdot t}[/tex]

Where;

P = The population after 't' minutes

P₀ = The initial population

r = The population growth rate

t = The time taken for the growth in population numbers

At t =  minutes. we have;

[tex]4 = P_0 \cdot e^{r\times0} = P_0[/tex]

∴ P₀ = 4

At t = 5, we have;

[tex]128 = 4 \cdot e^{r\times 5}[/tex]

[tex]\therefore e^{r\times 5} = \dfrac{128}{4} = 32[/tex]

[tex]ln\left(e^{r\times 5}\right) = ln(32)[/tex]

∴ r × 5 = ㏑(32)

r = ln(32)/5 ≈ 0.693

The number (n) of bacteria after 2 minutes is therefore;

[tex]P = 4 \cdot e^{\left(\dfrac{ln(32)}{5} \times 2\right)} \approx 4 \cdot e^{\left(0.693\times 2\right)}[/tex]

Answer:

90 degrees

Step-by-step explanation:

Complete question

A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minutes and T is the temperature in degree Celsius. WHAT IS THE INITIAL temperature of the coffee

The initial temperature occurs at x = 0

Substitute x = 0 into the expression;

T=70(0.80)^x+20

T =70(0.80)^0+20

Since any value raise to power of zero is 1, hence;

T = 70(1)+20

T = 70+20

T = 90 degree Celsius

Hence the initial temperature of the coffee is 90 degrees

The initial temperature of the coffee is 90 degrees.

The function is represented as:

[tex]\mathbf{T = 70(0.80)^x + 20}[/tex]

At the initial temperature, x = 0.

So, we have:

[tex]\mathbf{T = 70(0.80)^0 + 20}[/tex]

Expand

[tex]\mathbf{T = 70 \times 1 + 20}[/tex]

Multiply

[tex]\mathbf{T = 70 + 20}[/tex]

Add

[tex]\mathbf{T = 90}[/tex]

Hence, the initial temperature of the coffee is 90 degrees.

Read more about functions at:

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Answer:

400,000

Step-by-step explanation:

Answer:

400,000

Step-by-step explanation:

Answer: 2 independent sample test of proportions

Step-by-step explanation:

The teo independent sample test of proportion is also referred to as the two proportion z-test and it simply allows the researcher to compare the two proportions in order to ascertain if they're the same or not.

In this case, the null hypothesis will be that that the proportions given in the research are the same while the alternate hypothesis will be that there is a difference between the proportions given.

The kind of analysis that would be most adequate for the given study:

Test of 2 Independent Proportions.

The test of two independent proportions is characterized as the method of study in which samples are opted randomly and allowed to remain independent.

In such a study, a minimum of 5 failures and successes are considered to reach a conclusion.

In the given situation, the samples of males and females are random and permitted to stay free("continue after the mission") and evaluated after a time to take the deduction.

Learn more about "Sample Method" here:

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Answer:

k=y/x

Step-by-step explanation:

Answer:

7.5 x .25= 1.875 square feet

Answer:

The first option

Step-by-step explanation:

Since all sides are obtuse, its an obtuse triangle.

Answer: 12.96 m²

Step-by-step explanation:

The area of the piece of land that the flower beds were dug in is:

= Length * width

= 5.2 * 4.8

= 24.96 m²

The flower beds were 3 in number and all had the shape of a square.

Their area is:

= 3 * (Length * width)

= 3 * ( 2 * 2)

= 3 * 4

= 12 m² for all three flower beds

Remaining land:

= 24.96 - 12

= 12.96 m²

Answer:

Y= -2/5X

Step-by-step explanation:

the equation is y=mx + b

slope: -2/5x

y- intercept: 0

all you do is combined your slope and y-intercept together: Y= -2/5X , you dont need to add +0 because it gonna just still be the same as y= - 2/5x

Y= -2/5X or y= -2/5x + 0 is the same so it can be any of these 2 that you pick but the correct way is y= -2/5x

Answer:

Sample Response: The graph will have opposite x-intercepts of b and –b and be symmetrical about the y-axis. The graph will have a y-intercept at –b2.

Step-by-step explanation:

Edge 2021

Answer:

The graph will have opposite x-intercepts of b and –b and be symmetrical about the y-axis. The graph will have a y-intercept at –b2.

Step-by-step explanation >: )

YOUR VERY WELCOM3!

Answer:

Step-by-step explanation:

5/4

Answer:

3+4+2+4=13-4+2=7

Step-by-step explanation:

Answer:

i think is number 2

Answer:

prism

Step-by-step explanation:

Answer:

it is a cube but if we using the answer her it will be C.prism because a cube is a prism