A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by half, what would its volume be? Use 3. 14 for π and round your answer to the nearest tenth. 682. 7 in3 2143. 6 in3 85. 3 in3 267. 9 in3.

Apply BPT theorem or Thales theorem

So

And

Option A

Answer:

Since rational numbers can be written as a ratio, such as a/b, then irrational numbers can not be written that way.

Step-by-step explanation:

Square roots of non-perfect squares are irrational numbers because they are non-terminating and non repeating decimals

Answer:

B) $1.25/ 4

Step-by-step explanation:

if Anna had $5.00 to start with and after buying 4 pencils she had $3.75 left that would mean each pencil was around $1.25.

$5.00 subtract $3.75 equals $1.25

hope this helps :D

Answer:

the first graph is 3:2

the second is 3:1 or 2:1 i'm not 100% sure on that one

the third is 1:1

Step-by-step explanation: I took the test and got it right

I hope this helps:)

A ratio shows us the number of times a number contains another number. The ratio of DE to EF is 3:2. The ratio of DE to EF is 3:1.

A ratio shows us the number of times a number contains another number.

1.)

DE = √(6² + 3²)

     = √45

     = 3√5

EF = √(4² + 2²)

     = √20

     = 2√5

Ratio = 3√5 / 2√5 = 3/2

Hence, the ratio of DE to EF is 3:2.

2.)

PQ = √(6² + 3²)

     = √45

     = 3√5

QR = √(1² + 2²)

     = √5

Ratio = 3√5/√5 = 3:1

Hence, the ratio of DE to EF is 3:1.

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#SPJ5

Answer: R= 6.15

Step-by-step explanation:

i did it on a piece of paper

Answer:

Step-by-step explanation:

We know that the coin has 2 sides, which is tails and heads.

the total number of options is 2. whereas if tails or heads, 1 options

For tails:

[tex](\frac{1}{2}) *n[/tex]

[tex]\frac{n}{2}[/tex]

For heads:

[tex](\frac{1}{2} ) * n[/tex]

[tex]\frac{n}{2}[/tex]

If he does this in a row and expects 1 head and tail:

[tex]\frac{n}{2} * \frac{n}{2}[/tex]

[tex]\frac{n^{2} }{4}[/tex]

Answer:

WEll the answer is d

Step-by-step explanation:

The first (80%) mortgage has an interest rate of 4.75%, and the second (20%) mortgage has an interest rate of 7.525%. Both are 30-year fixed-rate mortgages.

======================================================

Explanation:

The formula we'll be using is

P = (L*i)/( 1-(1+i)^(-n) )

where,

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

For the first mortgage (80%), we need to find out the L value

L = 80% of 175,000 = 0.80*175,000 = 140,000

The monthly interest rate is the annual rate over 12

i = r/12 = 0.0475/12 which I'll keep as a fraction

Lastly, this mortgage goes for 30 years aka 30*12 = 360 months. So n = 360.

To summarize the input values we'll use, we have,

Let's compute the monthly payment

P = (L*i)/( 1-(1+i)^(-n) )

P = (140,000*0.0475/12)/( 1-(1+0.0475/12)^(-360) )

P = 730.30627110436 approximately

P = 730.31

The first mortgage has a monthly payment of $730.31

We'll use this later.

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

Now onto the second mortgage (20%)

L = 20% of 175,000 = 0.20*175,000 = 35,000

i = r/12 = 0.07525/12 which I'll keep in fraction form

n = 360 months (same as before)

In short,

So,

P = (L*i)/( 1-(1+i)^(-n) )

P = (35,000*0.07525/12)/( 1-(1+0.07525/12)^(-360) )

P = 245.32451498724 approximately

P = 245.32

The second mortgage has a monthly payment of $245.32

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

The last step is to add the two monthly payments (found at the conclusion of each previous section)

730.31 + 245.32 = 975.63

Charlene’s new net income will be $113.70.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the monthly salary of Charlene is $3,410. While her net income is 7% of her monthly income. Therefore, the net income of the Charlene is

[tex]7\%\ of\ \$3410 = \text{Charlene Net income}\\\\\dfrac{7}{100} \times 3410 = \text{Charlene Net income}\\\\ \text{Charlene Net income} = \$238.7[/tex]

Thus, Charlene's net income is $238.7.

Now since Charlene is going to reduce her net income by $125 each month, therefore,

Charlene New Net Income = Charlene Net Income - $125

                                              = $238.7 - $125

                                              = $113.70

Hence, Charlene’s new net income will be $113.70.

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Answer:

200

Step-by-step explanation:

11^2+10^2=x^2

121+100=x^2

221=x

nearest 100th would be 200

Answer:

no we cannot because when we solve x-2=5 it gives x=7 and x+3=5 gives x=2 if we place the x value as 7 then it does not justify (x-2)(x+3)=5, if we put x= 2 then again it does not justifies (x-2)(x+3)=5

Step-by-step explanation:

x-2=5

x=5+2

x=7

x+3=5

x=5-3=2

putting x=7 in given equation

(7-2)(7+3) is not equal to 5

putting x=2 in given equation

(2-2)(2+3) is not equal to 5

that's why we can't solve

[tex] \huge \boxed{ \tt2\dfrac{1}{8}}[/tex]

Step-by-step explanation

[tex] \sf \rightarrow4 \dfrac{7}{8} - 2 \dfrac{3}{4} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow\dfrac{39}{8} - \dfrac{11}{4} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{ \frac{39 \times 8}{8} - \frac{11 \times 8}{4} }{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{39 - 11 \times 2}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{39-22}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{17}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow 2\dfrac{1}{8}[/tex]

The scale factor used to create the dilated Triangle M'S'V is 2/3.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor k. If k > 1, it is an increment whereas if k < 1, it is a decrease.

Triangle MSV has vertex at M(-3, 3) while that of M'S'V' has vertex at M'(-2, 2). Hence the scale factor is 2/3

The scale factor used to create the dilated Triangle M'S'V is 2/3.

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The perimeter of an object is the sum of all sides.

a book is a rectangle which has 4 sides. 2 sides would be the length and 2 sides would be the width.

Set up the equation:
70 = 20 + 20 + x + x

Simplify

70 = 40 + 2x

Subtract 40 from both sides

30 = 2x

Divide both sides by 2

X = 15

The width of the book is 15 cm

The fraction of the box of pancake that eliza used is; 1/8.

We are told that the box of pancake mix has 6 cups.

Now, Eliza uses 3/4 of a cup for a recipe.

Since there are 6 cups in the box, it means the fraction of the box of pancake that Eliza used is;

(3/4)/6 = 3/24 = 1/8

In conclusion, the fraction of the box of pancake that eliza used is 1/8.

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Answer:

A

trust me

have a good day brainliest and 5 star please :D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Function represent relationship between variables. The value of f[g(x)] when f(x) = 7x+13  and g(x) = x+2 is 7x+27.

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

f(x) = 7x+13

g(x) = x+2

In order to find the value of f[g(x)], we will substitute the value of g(x) at the place of x in f(x).

[tex]f[g(x)] = 7(x+2)+13 \\\\ f[g(x)] = 7x+14+13 \\\\ f[g(x)] = 7x + 27[/tex]

Hence, the value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.

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Answer: Choice B

Explanation:

Convert each percentage mentioned to decimal form. Example: 3% = 0.03

Then multiply each time value with the decimal form of the interest rate.

Choice B yields the smallest result, so it will lead to the lowest amount of interest to pay on top of the principal. Therefore, option B is the best route to have the lowest total repayment.

This relation is a function. This is because no x value is repeated, so it passes the vertical line test.

Here is an example of where a relation is NOT a function:

{(2, 5), (3, –5), (2, 5), (5, –5)}

Hope this helps!

I think x is 33

that's your answer

To find area of first figure:

[tex] \\ [/tex]

As it is given in question shaded shape is made by joining a square and a rhombus. It is clearly visible that the first figure is square.

[tex] \\ [/tex]

So to find Area of a Square:-

We know :-

Area of square = side²

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

⇢ Area of square = side²

[tex] \\ [/tex]

⇢ Area of square = side × side

[tex] \\ [/tex]

⇢ Area of square = 5 × 5

[tex] \\ [/tex]

⇢ Area of square = 25 cm²

[tex] \\ [/tex]

Therefore Area of first figure is equal to 25 cm²

[tex] \\ [/tex]

To find area of second figure:

[tex] \\ [/tex]

So we have find area of square and now as in question given next shape is rhombus.

[tex] \\ [/tex]

There are two Formulas of rhombus :

[tex] \\ [/tex]

We have to use second formula as Digonals aren't given :

⇢ Area of rhombus = Base × Height

[tex] \\ [/tex]

⇢Area of rhombus = 4.5 × 5

[tex] \\ [/tex]

⇢Area of rhombus = (45 × 5)/10

[tex] \\ [/tex]

⇢Area of rhombus = (45 × 1)/2

[tex] \\ [/tex]

⇢ Area of rhombus = 45/2

[tex] \\ [/tex]

⇢ Area of rhombus = 22.5 cm²

[tex] \\ [/tex]

Therefore Area of first figure is equal to 22.5 cm²

[tex] \\ [/tex]

Area of whole shaded figure:

⇢A = Area of first figure + Area of second figure

[tex] \\ [/tex]

⇢ A = 25 + 22.5

[tex] \\ [/tex]

⇢ A = 47.5 cm²

[tex] \\ [/tex]

Therefore Area of whole shaded figure is equal to 47.5 cm².

Answer:

  4x^3 -12x^2 +17x -12

Step-by-step explanation:

Use the distributive property, and collect terms.

  (2x -3)(2x^2 -3x +4)

  = 2x(2x^2 -3x +4) -3(2x^2 -3x +4)

  = 4x^3 -6x^2 +8x -6x^2 +9x -12

  = 4x^3 -12x^2 +17x -12

Answer:

Step-by-step explanation:

At Step 2 you subtract 1/2 from both sides of the equation:

Its justification is therefore is:

Answer: I THINK ITS (-10/8)

Step-by-step explanation:

Answer:

2,340,208.5 or 2,340,209

Step-by-step explanation:

You could answer this by multiplying the current population of 800,000 by 1.05 (1.05 represents the annual growth rate of population) and do that 22 times.  But that would take a while.

we got 1.05 because the formula says that y = a( 1 + r ) power t

for a we will give it 1

so y = 1 ( 1 + 0.05) power t

it will give us 1.05

to do this faster, you would first calculate (1.05)22and then multiply this by 800,000.

So, 800,000 x (1.05)22 = 2,340,208.5 or 2,340,209

Answer:

50

Step-by-step explanation:

2(5)^2=2(25)=50

1/2 x² + x + 3/2 is the correct answer......

Answer:

Beyond his military accomplishments, Genghis Khan also advanced the Mongol Empire in other ways. He decreed the adoption of the Uyghur script as the Mongol Empire's writing system. He also practised meritocracy and encouraged religious tolerance in the Mongol Empire, unifying the nomadic tribe Northeast Asia .

Step-by-step explanation:

Hope This Helps :)

Answer:

your answer you may be looking for are:

A. 73.58

B. 588.64

When solving a quadratic equation by completing the square, the b value should be even so as not to have fractions.

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomial are classified based on degree as linear, cubic, quadratic etc.

A quadratic equation is of degree 2. It is given by:

y = ax² + bx + c

where a, b and c are constants

When solving a quadratic equation by completing the square, the b value should be even so as not to have fractions.

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