Angle FGH is a right angle.
The measure of angle JGH is 50.
The measure of angle FGJ is
What is the value of x?

The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³

The globe is a sphere. Therefore, the volume is as follows:

volume = 4 / 3 πr³

where

r = 12  /2 = 6 inches

volume = 4 / 3 × π × 6³

volume = 864 / 3 π

volume = 288 × 3.14  = 904.32inches³

The box is a cube. Therefore,

volume = L³

where

Therefore,

volume = 12³

volume = 1728 inches³

Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:

volume not taken up = 1728 - 904.32 = 823.68 inches³

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Answer:

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The given expression can be solved as shown below.

(2,3) - 3(1,1)

Multiply 3 in the second vector,

= (2,3) - (3,3)

Subtracting vectors

= (2-3, 3-3)

= (-1, 0)

Hence, the value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).

Learn more about Expression:

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#SPJ5

Answer:

LOWER UPFRONT COSTS

Step-by-step explanation:

you're welcome ;)

[tex]5~~,~~\stackrel{5(6)}{30}~~,~~\stackrel{30(6)}{180}~~,~~\stackrel{180(6)}{1080}~~,~~\stackrel{1080(6)}{6480}~\hfill \boxed{f(x)=x_{n-1}(6)}[/tex]

now, that's recursive, we can also write it in explicit as [tex]5(6)^x[/tex]

Answer:

its cost 25 cents

in so will cost 275 cent so 2.75

Step-by-step explanation:

Given the exponential function y = f(x), a is the initial value and it will fall to a value of B

An exponential function is given by:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

The value, y, of a car x years after it is purchased is modeled by the exponential function y = f(x), a is the initial value and it will fall to a value of B

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Answer:

Step-by-step explanation:

#1 is correct

#2 is correct

#3 is correct

#4 is correct

#5  is correct

#6 is 29.6

Answer:

Slope 1/3

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (9, 1) ← 2 points on the line

m = [tex]\frac{1-(-1)}{9-3}[/tex] = [tex]\frac{1+1}{6}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

4.5 s, 324 ft

Explanation:

The object is projected upward with an initial velocity of

v_0 = 144 ft/sv

0

=144ft/s

The equation that describes its height at time t is

s(t) = -16t^2 + 144 ts(t)=−16t

2

+144t (1)

where t, the time, is measured in seconds.

In order to find the time it takes for the object to reach the maximum height, we must find an expression for its velocity at time t, which can be found by calculating the derivative of the position, s(t):

v(t) = s'(t) = -32t +144v(t)=s

′

(t)=−32t+144 (2)

At the maximum heigth, the vertical velocity is zero:

v(t) = 0

Substituting into the equation above, we find the corresponding time at which the object reaches the maximum height:

\begin{gathered}0=-32t+144\\t=\frac{144}{32}=4.5 s\end{gathered}

0=−32t+144

t=

32

144

=4.5s

And by substituting this value into eq.(1), we also find the maximum height:

s(t) = -16(4.5)^2+144(4.5)=324 fts(t)=−16(4.5)

2

+144(4.5)=324ft

Answer:

Its the second one in the photo

Step-by-step explanation:

it's the second because when I clicked it I got it right.

2 flavors and 4 scoops

total different possibilities = 2^4 = 16

answer: 16

Answer:

The perimeter is 50.

The area is 150.

Step-by-step explanation:

To calculate perimeter, add the length and width, then multiply the sum by 2.

( 15+10=25. 25*2=50 )

To calculate area, multiply the length and width.

( 15*10=150 )

Answer:

See below.

Step-by-step explanation:

The answer would be 2 3/4.

The third tick represents 3/4, and this is between 2 and 3.

-hope it helps

Answer:

My guess is 2 3/4

Step-by-step explanation:

Sorry if i'm wrong, if im right can i have brainliest? So explanation is that the plotted point on the number line is c so that will make the numerator is id.k the difference between them the top of the number would be three because c is ploted on c and id.k how to get 4.

Answer:

6x - 1

Step-by-step explanation:

Side 1: 5x - 1

Side 2: 4x + 4

Side 3: Unknown, y

Perimeter: 15x + 2

Perimeter = Side 1 + Side 2 + Side 3

15x + 2 = 5x - 1 + 4x + 4 + y

15x + 2 = 9x + 3 + y

6x - 1 = y

y = 6x - 1

Side 3 = 6x - 1

Answer:

13%

Step-by-step explanation:

Answer:

3/6 ⇒ 9/12⇒ 15/18

Step-by-step explanation:

To put the following lists 3/6,9/12, 15/18 in order from least to greatest we can turn the fraction into decimal..

3/6 = 0.5

15/18 = 0.83333333333

9/12= 0.75

Hence from least to greatest:

0.5,0.75, 0.83333333333

Also know as:

3/6,9/12,15/18

~lenvy~

Answer:

Order 3/6, 9/12, and 15/18 from least to greatest.

First, we must simplify these fractions as much as possible then find a possible common denominator.

3/6 simplifies to 1/2

9/12 simplifies to 3/4

15/18 simplifies to 5/6

Now we have fractions of 1/2(3/6), 3/4(9/12), and 5/6(15/18).

If we look at these fractions, we can see that they have a common denominator of 12. So let's convert these fractions into having a denominator of 12;

1/2 x 6/6 = 6/12

3/4 x 3/3 = 9/12

5/6 x 2/2 = 10/12.

So now we have the fractions 6/12(3/6), 9/12(9/12), and 10/12(5/6).

These are already ordered from least to greatest.

So therefore, this'll be ordered;

3/6, 9/12, and 15/18.

Answer:

[tex] \frac{(x^{ - 2}{y}^{10})^{2} }{ {x}^{5} {y}^{ - 3} } \\ \frac{ {x}^{ - 4} {y}^{20} }{ {x}^{5} {y}^{ - 3 } } \\ {x}^{ - 9} {y}^{23} \\ \frac{ {y}^{23} }{ {x}^{9} } \\ ans \: c[/tex]

Answer:

The answer would be 195 Strikeouts

Step-by-step explanation:

You take the number of each x then times by the number on the bottom so in this case, you have 3 15s that would be 45. for the 16s you have 5 so you do this math and you end up with 80 and keep going until you did all of them then add them up and that's your answer.

Let's analyze the data

Now lets solve:

      Total number of strikeouts = 3 * 15 + 5 * 16 + 2*17 + 2*18

                                                     = 15 + 80 + 34 +36

                                                     = 95 + 70 = 165

Hope that helps!

Answer:

a bit more than 48°

Step-by-step explanation:

We use the law of cosines for this.

The theorem is an extension of pythagoras' theorem, working for all triangles. In our case

[tex]\overline{BC}^2=\overline{AB}^2+\overline{AC}^2-2\overline{AB}\cdot\overline{AC}cos \hat A[/tex]

Let's replace all the values we have and find whatever is left.

[tex]10^2=11^2+13^2-2(11)(13)cos \hat A\\-286cos\hat A = -190\\cos \hat A\approx 0.6643 \rightarrow \hat A \approx 48\°[/tex]

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]\ln e^4= 4\ln e = 4 \log_e e = 4 \times 1 = 4[/tex]

The new account balance by deposit of $378.42 will be $3014.83.

When anything is increased in the already existing quantity then it is termed the addition.

Now it is given in the question that

Selma deposited an amount of = $378.42

Account balance =$2636.41

Now the new balance will be = New amount + Previous balance

[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]

Thus new account balance by deposit of $378.42 will be $3014.83.

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Answer:

Step-by-step explanation:

c

The amount of plastic covering needed to cover the window is 25.71.

The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.

Circumference of the semi circle = 1/2πd + d

Where:

π = 3.14

d = diameter = 3

1/2 x 3.14 x 3 + 3 = 7.71

Perimeter of the rectangle = 2(length + width)

2x (6 + 3) = 18

18 + 7.71 = 25.71

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Step-by-step explanation:

Factors of 36 are {1,2,3,4,6,9,12,18,36}

.

Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}

Common factors are }1,2,3,4,6,12} .

greatest Common Factor is 12 .

Step-by-step explanation:

3x + 4 + 2x +7

= 3x + 2x + 4 + 7

= 5x + 11

Answer:

y = - 1

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values , that is

maximum value = 2 and minimum value = - 4 , then

y = [tex]\frac{2-4}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

equation of midline is y = - 1