g - 32 = 52
a) obtain a formula for g
b) Solve for g​

The door of the ramp must begin at a distance of 25.72ft in order to raise the ramp by 5ft.

Data;

To solve this problem, this is a right angle triangle and we can use trigonometric ratio SOHCAHTOA here.

Since we have the value of angle and opposite and solving only for adjacent, we can use tangent of the angle.

[tex]tan \theta = \frac{opposite}{adjacent} \\[/tex]

Let's substitute the values into the formula above and solve

[tex]tan 11 = \frac{5}{x} \\x = \frac{5}{tan 11} \\x = 25.72ft[/tex]

The door of the ramp must begin at a distance of 25.72ft in order to raise the ramp by 5ft.

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Answer:

x=2

Step-by-step explanation:

1/2‒1/6=4/3x^2

3/6‒1/6=4/3x^2

2/6=4/3x^2

1/3=4/3x^2

1(3x^2)=4(3)

3x^2=12

x^2=4

x=√4

x=√2*2

x=2

Answer:

Ned and Penny

Step-by-step explanation:

Ned: [tex]\frac{1}{3}[/tex]

Penny: [tex]\frac{4}{12}[/tex] --> simplying it makes it [tex]\frac{1}{3}[/tex]

Hence, Ned and Penny ate the same amount of pizza.

The friends who ate the same amount of pizza are Ned and Penny

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Four friends shared a pizza

Now , Felix 1/12

Lucy 1/4

Ned 1/3

Penny 4/12

So , the pizza shared by Penny = 4/12

On simplifying the equation , we get

P = 1/3

Hence , Penny and Ned shares the same amount of Pizza = 1/3

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1 a week

Step-by-step explanation:

in 37 weeks she learned 37(10 in 10 weeks, snd 27 in 27 weeks) so 37:37=1

x intercepts means the roots of the function .Let's find out

[tex]\\ \rm\Rrightarrow 9m^2+3m-2=0[/tex]

[tex]\\ \rm\Rrightarrow 9m^2-3m+6m-2=0[/tex]

[tex]\\ \rm\Rrightarrow 3m(3m-1)-2(3m-1)=0[/tex]

[tex]\\ \rm\Rrightarrow (3m-2)(3m-1)=0[/tex]

The x-intercepts are -(2/3) and (1/3).

The correct options are (B) and (C)

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. The fact that the coefficient of x² is a non-zero term (a 0) is a necessary need for an equation to be a quadratic equation.

As per the given data:

f(x) = 9m² + 3m - 2

To find the x-intercept of this function:

The roots of f(x) will be the x-intercepts of the given function.

f(x) = 9m² + 3m - 2

9m² + 3m - 2 = 0

9m² - 3m + 6m - 2 = 0

3m(3m - 1) + 2(3m - 1) = 0

(3m + 2)(3m - 1) = 0

The roots are m = -(2/3) and m = (1/3)

Hence, the x-intercepts are -(2/3) and (1/3).

The correct options are (B) and (C)

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Answer:

nope, it’s actually 176,000. the 901 is very high if u compare it to 499 which is the lowest number to round down to.

Step-by-step explanation:

Answer: The answer is 5$

Step-by-step explanation:

50/10=5

Answer:

yes because 50 is 10 now and also yes

Answer:

The answer is d.

Step-by-step explanation:

[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\x-3=0; x=3\\x-4=0; x=4\\(3,4)[/tex]

Answer: 3 divided by 1/4 is the first and the second is number fourths un 3 :)

Step-by-step explanation:

3÷1/4 is the expression which can be used to represent the model

A fraction represents a part of a whole.

An expression is combination of variables, numbers and operators.

In the given model there are twelve blocks.

The 12 blocks are divided to three parts.

Each part has 4 blocks.

This can be represented by the expression 3÷1/4

Three divided by one by four is the required expression.

Hence, 3÷1/4 is the expression which can be used to represent the model

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Answer:

5x &  -1

Step-by-step explanation:

2x+3=5x

-x = -1x

maybe...

Answer:divide both sides of the equation by 10.4

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Answer:

Sergio found 4 pennies on the ground and her sister said that she found twice as many as him

When his sister said that she found twice as many, sergio added 2 to his number of pennies instead of multiplying by 2

That's where Sergio made a mistake and got the answer wrong

Answer:

Assuming the cones are the same height, then

V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3

V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3

V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3

V1/V2 = 1/6.25 = .16

V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)

V2/V1=6.25/1 = 6.25

Answer:

B. x - 10

Step-by-step explanation:

x² - 13x + 30 = (x - 3)(x - 10)

x² + (a + b)x + ab = (x + a)(x + b)

Answer:

You can measure from the inside of the tank or measure the outside and subtract the width of the tank walls to find the inside measurement. Next multiply the length width and depth measurements to find the cubic volume in cubic inches

Step-by-step explanation:

Answer:

6 greater than x

Step-by-step explanation:

I did the math on paper

Answer:

MOM

HIT

WAXY

I just did this on edge

Answer:

1 3 6

Step-by-step explanation:

The surface area of this figure will be 991 square feet.

The area of a plane region or plane field refers to the area of a shape or planar substance, whereas surface area refers to the area of an open surface or the boundary of a multi-object.

A complex solid made out of triangular and rectangular prisms. The triangular prism is centred on the top of the rectangular prism.

The surface area of the shape is given as,

SA = 2(19 x 11 + 11 x 9) + 19 x 9 + 10x 9 + 13 x 12 + 13 x 12

SA= 2(209) + 171 + 90 + 156 + 156

SA = 418 + 171 + 90 + 312

SA = 991 ft²

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Answer:

fog =gofthen it will be equal

Answer: A

Step-by-step explanation:

The surface of the figure is the amount of space on the figure

The new surface area would be half of the original figure

The question is incomplete, so I will give a general explanation.

Assume the surface area of the original figure is A.

Then the area of the new figure would be:

A2 = A * k

Where k is the scale of dilation.

From the question, we have:

k = 1/2

So, the equation becomes

A2 = A * 1/2

This gives

A2 = 1/2A

The above means that the new surface area would be half of the original figure

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Answer:

The answer is 181.61

Step-by-step explanation:

I took the k-12 quiz - Hope this helps!

Answer:

x=5

Step-by-step explanation:

Step-by-step explanation:

There are 12 months in a year so,

114/12= 9.5$/month

t=9.5m

Since T represents the total cost, we want to express it in terms of months by multiplying m which refers to the number of months by the monthly fee which i have already calculated.

Using this equation we can find out the answer to your previous question.

t=9.5m

but m=3×12+5=41 months (3 years 12 months each)

t=9.5(41)

t=389.5 $

Answer:

4,000

600

160

12

Step-by-step explanation:

When using partial products, you basically break up the number into ones, tens, hundreds, thousands, etc.

So the partial products of 1,643 x 4 will be,

1,000 x 4

600 x 4

40 x 4

3 x 4

The partial products of the multiplication problems are,

4000

600

160

12

The answer will be 4,772.

The partial products of the multiplication problems are,

4000, 2400, 160 and 12

Multiplication is a method of finding the product of two or more numbers

When using partial products, you basically break the number into ones, tens, hundreds, thousands, etc.

So the partial products of 1,643 x 4 will be,

1,643 can be written as 1000+600×40+3.

Now multiply with 4.

(1000+600×40+3)×4

1,000 x 4+600 x 4+40 x 4+3 x 4

4000+2400+160+12

Hence the partial products of the multiplication problems are,

4000, 2400, 160 and 12 and The answer will be 4,772.

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Answer:

1/4

Step-by-step explanation:

Probability = successes / all events

Odds = successes / failures

If the probability is 1/5, then there's 1 success for every 4 failures.

So the odds are 1/4.

Answer:

(4, 14)

Step-by-step explanation:

We are given;

Graph of: y = ax² + c

That it contains point (2, 14)

Now,we want to find which point lies on the graph: y = a(x - 2)² + c.

Now, symbol "a" means the value of horizontal shift because the constants are grouped with x.

If the value of "a" is greater than 0,then it means that the graph shifted to the left by "a" units while if the value of "a" is less than 0,it means the graph shifted to the right by "a" units.

Now, from the 2 graph equations given, and from the principle of graph shifts, we can say that the first graph has shift by 2 units to the right because "a" equals -2.

What this implies is that every point on the graph y = ax² + c shifts by 2 units right.

Thus, the points that lie on the graph y = a(x - 2)² + c are: (x + 2, y)

Thus, points are: (2 + 2, 14) = (4, 14)

Answer:

y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3

Step-by-step explanation:

Given the data below:

Education (No. of years) Length of tenure in current employment (No. of years) Age (No. of years) Annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000

The estimated multiple linear regression equation that can be used to predict the annual income using number of years school completed (Education), length of tenure in current employment, and age using an online multiple regression calculator is :

y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3

According to the general form of a multiple linear regression model:

-143481.1924 = intercept(c) ; where regression line crosses the origin

10011.9212x1 - 2193.8838x2 + 2689.2405x3 are weight coefficients of the three predictor variables ; x1, x2, and x3

y = predicted variable

Where the regression line crosses the origin 10011.92x₁ – 2193.88x₂ + 2689.24x₃ are weight coefficients of the three predictor variables x₁, x₂, and x₃. Then y is the predicted variable.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.

A survey conducted by a research team was to investigate how the education level, tenure in current employment, and age are related to annual income.

A sample of 20 employees is selected.

The estimated multiple linear regression equation that can be used to predict the annual income using the number of years of school completed (Education), length of tenure in current employment, and age using an online multiple regression calculator will be

[tex]\rm y=-143481.19 + 10011.92x_1-2193.88x_2+2689.24x_3\\[/tex]

According to the general form of a multiple linear regression model will be

[tex]\rm -143481.19 = intercept (C)[/tex]

Where the regression line crosses the origin 10011.92x₁ – 2193.88x₂ + 2689.24x₃ are weight coefficients of the three predictor variables x₁, x₂, and x₃.

y = predicted variable.

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d=vt

d=10 km/h x 3.5 h

d = 35 km