Find the value of n in the following
equation. Give your answer as a
decimal.
n+3.1:6.4= 96

Answer:

900π

Step-by-step explanation:

Hello!

The radius is represented by the function [tex]r(t) = 15\sqrt{t +2}[/tex].

The radius of the ripple can be found when [tex]t=2[/tex]

Solve:

The radius of the ripple is 30 inches

The area of a circle is calculated by the formula [tex]A = \pi r ^2[/tex]

Given the radius is 30, we can find the area of the circle.

Solve:

Step-by-step explanation:

hope you have a great day

The value of x will be;

⇒ x = 13.9

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

Since, We know that;

The sine rule is;

⇒ sin A / a = sin B / b = sin C / c

By given figure, we get;

⇒ sin 83°  / x = sin 68° / 13

⇒ sin 83° × 13 / sin 68° = x

⇒ x = 0.99 × 13 / 0.92

⇒ x = 13.9

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If the linear equation with one variable is x / 4 + 2 = –2. Then the value of x will be negative 16.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

x / 4 + 2 = –2

Solving for x, we have

x / 4 + 2 = –2

     x / 4 = – 2 – 2

     x / 4 = – 4

          x = – 4 × 4

          x = – 16

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Answer:

exponential growth

Step-by-step explanation:

f(x) = 4 * 2^x

This function is in the form

y = a * b^x  where a is the initial value and b is the growth or decay rate

This is  exponential form

if b > 1 then it is growth

0< b < 1 it is decay

b =2 so it is growth

Answer:

the cost of the chair is 175.

Step-by-step explanation:

if the chair is x, the table will be 5x

now,

the equation formed will be,

5x+x = 1050

on solving,

6x= 1050

x= 1050÷6

x= 175

therefore, the cost of the chair will be x= 175.

and the cost of the table will be 5x= 5×175 = 875.

Cooper ran 286 miles in 21 weeks.

Answer:

the orange one

Step-by-step explanation:

(10 + 10) : (5-3) =

20 : 2 =

10

The 46th term of the arithmetic progression is 288.

An arithmetic progression is a series of numbers called a sequence and the difference from one interval to another is constant.

From the given information:

156, 153, 150, ...

The 46th term will be:

[tex]\mathbf{a_{46} = a+ (n - 1) d}[/tex]

[tex]\mathbf{a_{46} = 153+ (46 - 1) 3}[/tex]

[tex]\mathbf{a_{46} = 153 + (45) 3}[/tex]

[tex]\mathbf{a_{46} =288}[/tex]

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Answer:

y= x + b

-6 > 2x+6- graph a doted line that crosses through -6, and 2 shade below the dotted line going to the negative

18 >< 2x+6 graph a solid line through 18 and 2 and shade everything above the line going positive

have a good day hope this helped

Step-by-step explanation:

Answer:  c. Level of Significance

This is the alpha value

alpha is a greek letter with the symbol [tex]\alpha[/tex]

A type 1 error is when the researcher rejects the null, but the null was true (meaning the researcher shouldn't have rejected the null).

Answer:

no. a function doesnt contain an = sign

Step-by-step explanation:

Answer:

Yes, it is a function.

Explanation:

xy + 6y = 9

y(x + 6) = 9

y = 9/(x + 6)

It is a inverse variation function.

Where equation: xy = k               ["k" is constant]

Answer:

h(0.1) = 4.97

Step-by-step explanation:

See attached working :)

Remember that h(0.1) is the same as saying find what the equation is equal to when x = 0.1

The value of side z will be equal to 99.32 cm.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

Given that:-

In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°

So by applying the formula given below:-

z²   =   x²  +  y²  -  2xyCos(142)

z²   =   79²  +   27²   -  2 ( 79 x 27  x  Cos142  )

z    =    99.32  cm

Hence the value of side z will be equal to 99.32 cm.

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The linear function that models the relationship is P = 28,200 + 1950t.

A linear function is a function that has a single variable raised to the power of 1. An example is x + 2

The first step is to determine the rate of increase in the population:

Rate of increase = (population in 2012 - population in 2008) / number of years

(36.000 - 28,200) / 4 = 1950

P = 28,200 + 1950t

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Answer: andres is 5 years old pls banned him he called e a mean word like the N word

Step-by-step explanation:

Answer: Equation: 27t +700 = w

Total amount of water after 17 minutes: 1159 L

Step-by-step explanation:

Equation: 27t +700 = w

let t = minutes

let w = total amount of water in pond (liters)

Total amount of water after 17 minutes: 1159 L

t = 17

therefore

27(17) +700 = 1159

Answer:

425 l

Step-by-step explanation:

The volume of the rectangular prism is exactly (3/8) of a cubic inch.

Remember that for a rectangular prism of height H, length L, and width W, the volume is:

V = H*L*W

In this case, we have:

Then the volume of the rectangular prism is given by:

[tex]V = (1 in)*(\frac{3}{4} in)*(\frac{1}{2} in)= \frac{3}{4*2} in^3 = \frac{3}{8} in^3[/tex]

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Answer:

4<y

Step-by-step explanation:

1st step:9=5+y

2nd step: 9-5=y

3rd step: 4=y

4th step: 4<y

Answer:

y > 4 or 4 < y

Step-by-step explanation:

In this inequality, the < sign, also known as the less than sign, means that 9 is less than the value of 5 + y. Solving inequalities can be simple to do - let's begin!

9 < 5 + y

We know that we must isolate y to determine its value. We can do this by subtracting 5 from both sides of the < sign.

9 - 5 < 5 + y - 5

Simplify!

4 < y  → This means that 4 is less than y. Let's rewrite this.

y > 4 → Rewritten, your answer looks like this! This now states that y is greater than 4, which is the same as 4 being less than y.

For more information regarding inequalities, be sure to check out the following answers!

Answer:

yes

Step-by-step explanation:

independence means the object or so are completely unreliant of eachother or does not have order.

for example a dependent situation would be sports players getting picked because there is order.

Answer:

Step-by-step explanation:

when a number x is added to it's square, the total is 12. find two possible values of x

x+x^2=12

x^2+x=12

x^2+x−12=12−12

x^2+x−12=0

(x−3)(x+4)=0

x−3=0 or x+4=0

x=3 or x=−4

x=3 or x=−4

Answer:

b. line of best fit

Answer: Heyaa!~

                  - Write 63 as the product of prime factors -

              - Write the prime factors in ascending order -

         -   what's the highest common factor of 63 and 105   -

             Hopefully this helps you! ^^^

Answer:

$14,903.85

Step-by-step explanation:

So, Ms. Lui earns $775,000 each year. To find the weekly salary, we have to divide the annual income by the amount of weeks in a year. There are about 52 weeks in one year. Let's find the weekly salary:

[tex]\frac{775000}{52} = 14,903.85[/tex]

Therefore, Ms. Lui earns $14,903.85 a week.

Hope this helps! If you have questions about my work, please leave them in the comments!

The size of the unknown angle "x"

The given polygon is a Pentagon so the sum of interior angle will be,

[tex]\large\boxed{Formula: ( n − 2 ) × 180}[/tex]

n means the number of sides

Let's substitute the values according to the formula.

[tex](5-2)×180[/tex]

[tex]=540°[/tex]

Now, we can find the sum of one interior angle.

[tex]\large\boxed{\frac{sum \: of \: interior \: angles}{n}}[/tex]

n means the number of sides.

Let's substitute the values according to the formula.

[tex]x=\frac{540}{5}[/tex]

[tex]\large\boxed{x= 108°}[/tex]

Therefore, the size of the unknown angle "x" is 108°

Answer:

E. 38°

Explanation:

A rhombus has 360° interior angle.

Half of the other side has 180° angle.

Solve for x:

sum of interior angles = 180°

x + 14 + x + 14 + x + x = 180°

4x + 28° = 180°

4x = 180° - 28°

4x = 152°

x = 152°/4 = 38°

Sum of half interior angles=180°

So

Option E

The linear regression equation that represents this data set is equal to y = 11.7x + 48.2 and an estimate of the calendar year is 2022.

First of all, we would determine the slope of the given data set by using this formula:

[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]

For the sample mean (years), we have:

∑x = 0 + 1 + 2 + 3

∑x = 6.

∑x² = 0² + 1² + 2² + 3²

∑x² = 14.

For the sample mean (profits), we have:

∑y = 46 + 57 + 84 + 76

∑y = 263.

∑xy = (0 × 46) + (1 × 57) + (2 × 84) + (3 × 76)

∑xy = 453.

Now, we can determine the slope:

[tex]Slope = \frac{4(453) - 6(263)}{4(14) - 6^2} \\\\Slope = \frac{234}{20}[/tex]

Slope, m = 11.7.

For the intercept, we have:

[tex]Intercept = \frac{14(263) - 6(453)}{4(14) - 6^2} \\\\Intercept = \frac{964}{20}[/tex]

Intercept, c = 48.2.

Therefore, the linear regression equation is given by:

y = 11.7x + 48.2.

Since the profit would reach 144,000 dollars, the calendar year would be calculated as follows:

144 = 11.7x + 48.2

11.7x = 144 - 48.2

11.7x = 95.8

x = 95.8/11.7

x = 8.2.

For the calendar year, we have:

Year = 2014 + 8.2

Year = 2022.2 ≈ 2022.

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5 days in march.

31 days in May

30 days in June

24 days through July

rate of 5% each day.

so about 90 days of interest daily.

So 5% of 20,000

5 percent *20000

= (5/100)*20000

= (5*20000)/100

= 100000/100 = 1000

So 1,000 a day

1,000 * 90

= 90,000