80 points. Please answer!

Answer:

18

Step-by-step explanation:

12 / 4 = 3

4.5 / 1.5 = 3

6.75 / 2.25 = 3

in conc we can see that 3 is most obviously the "scale factor" (id/k what else to call it)

6 x 3 = 18

Answer:

D) $18

Step-by-step explanation:

12 / 4 = 3

4.50 / 1.5 = 3

6.75 / 2.25 = 3

6 x 3 = $18

Answer:

Part A

Cone

[tex]\mathsf{volume \ of \ a \ cone=\dfrac13\pi r^2h}[/tex]

(where r is the radius and h is the height)

Given:

[tex]\implies \mathsf{volume \ of \ the \ cone=\dfrac13\pi \cdot a^2\cdot2a=\dfrac23\pi a^3}[/tex]

Hemisphere

[tex]\mathsf{volume \ of \ a \ sphere=\dfrac43\pi r^3}[/tex]

[tex]\implies \mathsf{volume \ of \ a \ hemisphere=\dfrac12 \cdot\dfrac43\pi r^3=\dfrac23\pi r^3}[/tex]

Given

[tex]\implies \mathsf{volume \ of \ the \ hemisphere=\dfrac23\pi a^3}[/tex]

Therefore

volume of cone with radius a = volume of hemisphere with radius a

Part B

[tex]6.82^2\times\sqrt[3]{0.005}[/tex]

Take log of base 10:

[tex]\implies \log_{10}(6.82^2\times\sqrt[3]{0.005})[/tex]

Using log law [tex]\log(a \times b)=\log a+\log b[/tex]:

[tex]\implies \log_{10}(6.82^2)+\log_{10}(\sqrt[3]{0.005})[/tex]

Using low law [tex]\log(a^b)=b \log a[/tex]

[tex]\implies 2\log_{10}(6.82)+\dfrac13\log_{10}(0.005)[/tex]

Log tables

The characteristic of the logarithm of a number is the exponent of 10 in its scientific notation.

The mantissa is found using the log tables and is always prefixed by a decimal point.

The row is the first two non-zero digits of the number, and the column is the 3rd digit of the number

Use the log tables to find [tex]\log_{10}(6.82)[/tex]:

6.82 = 6.82 × 10⁰

⇒ characteristic = 0

log table:  row 68, column 2 ⇒ mantissa 8338 ⇒ 0.8338

characteristic + mantissa = 0 + 0.8338 = 0.8338

Therefore, [tex]\log_{10}(6.82)=0.8338[/tex]

Use the log tables to find [tex]\log_{10}(0.005)[/tex]:

[tex]0.005 = 5.0 \times 10^{-3}[/tex]

⇒ characteristic = -3

log table: row 50, column 0 ⇒ mantissa 6990 ⇒ 0.6990

characteristic  + mantissa = -3 + 0.6990 = -2.301

Therefore, [tex]\log_{10}(0.005)=-2.301[/tex]

Therefore,

[tex]2\log_{10}(6.82)+\dfrac13\log_{10}(0.005)[/tex]

[tex]\implies 2\cdot0.8338 + \dfrac13 \cdot -2.301[/tex]

[tex]\implies 1.6676 - 0.767[/tex]

[tex]\implies 0.9006[/tex]

Therefore,

[tex]\log_{10}(6.82^2\times\sqrt[3]{0.005})=0.9006[/tex]

Using [tex]\log_{a}b=c \implies a^c=b[/tex]

[tex]\implies 6.82^2\times\sqrt[3]{0.005}=10^{0.9006}[/tex]

[tex]\implies 6.82^2\times\sqrt[3]{0.005}=7.954[/tex]

given for cone:

volume of cone:

[tex]\sf \rightarrow \dfrac{1}{3} \pi r^2h[/tex]

[tex]\sf \rightarrow \dfrac{1}{3} \pi (a)^2(2a)[/tex]

[tex]\sf \rightarrow \dfrac{2\pi a^3}{3}[/tex]

no metal wasted means no volume wasted while melting so volume: same.

volume of hemisphere:

[tex]\hookrightarrow \sf \dfrac{2}{3} \pi r^3[/tex]

This is equal to the volume of cone.

[tex]\hookrightarrow \sf \dfrac{2}{3} \pi r^3 = \dfrac{2\pi a^3}{3}[/tex]

[tex]\hookrightarrow \sf a^3 = r^3[/tex]

[tex]\hookrightarrow \sf a = r[/tex]

Therefore shown that radius of cone is similar to radius of hemisphere.

(b)

[tex]6.82^2 *\sqrt[3]{0.005}[/tex]

[tex]7.9535[/tex]

[tex]7.95[/tex]

Answer:

y = -5x - 1

Step-by-step explanation:

To find the function rule:

We use the equation "y = mx + b"

Function rule: What we need to do to "x" to get "y"

Look at the x-values. You need to know if they are going up by one or if they are skipping.  In this case, they are going up by one.

Next, look at the y-values and see how they are changing. The y-values in this table are going down by 5 every time, which means we will multiply each "x" by "-5".

After that, pick the first 'x" in the table and multiply it by "-5", then figure out what you need to do to make it equal the y-value.

You need to subtract 1. This means the rule is "y = -5x - 1"

To check if this is correct, we do the following:

y = -5x - 1

Substitute the first x and y values into the equation

9 = -5(-2) - 1

Multiply -5 and -2

9 = 10 - 1

Subtract 1 from 10

9 = 9

True

Let's check the second equation

y = -5x - 1

Substitute the x and y values in the second column of the table

4 = -5(-1) - 1

Multiply -5 and -1

4 = 5 - 1

Subtract 1 from 5

4 = 4

True

So, the function rule "y = -5x - 1" is true

Answer:

SAS I believe or CPCTC depending if that is what you are working on.

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

4^2+3(37-(2*5))

4^2+3(37-10)

4^2+3(27)

16+3(27)

16+81

=97

Answer:

Step-by-step explanation:

(2*5)=10, 37-10=27, 4^2=16, 3(27)=81, 16+81= 97

Answer:

1.9453125 = 1.945

Step-by-step explanation:

Divide 747 by 384

Answer is 1.9453125

Look at the number to the right of the thousandths place.  

Its 3.

3 is less than 5

drop the 3 and all numbers after.

B / 2 siblings

Step-by-step explanation:

edge 22 , hope it helped

The mean number of siblings for the population rounded to the nearest unit is 2.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Gien data is:-

3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1

The mean will be calculated as:-

Mean = ( 3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1 ) / 12

Mean  = 21  /  12

Mean = 1.75

Mean = 2

Therefore the mean number of siblings for the population rounded to the nearest unit is 2.

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Answer: 38

Step-by-step explanation:

Step 1: use variables to replace the two numbers

the second number = x

six more than twice the second number = 2x + 6

Their sum is 120: 3x + 6 = 120

Step 2: solve the equation

3x = 114

x = 114/3 = 38

Step 3: check your answer (optional)

six more than twice 38 = 82

38 + 82 = 120

hope this helps

Answer:

Alan = $6525

Betty = $8700

Carol = $10875

Step-by-step explanation:

Ratio of Investment is:

Alan: Betty: Carol = 3:4:5

Total profit will be divided into 12 portions (3+4+5=12)

Total profit = $26,100

One portion = $26,100/12 = $2175

Alan gets = 2175*3= 6525

Betty gets =2175*4= 8700

Carol gets = 2175*5 = 10875

Answer:

I think it is dividing the numbers by 2

Answer is on the picture

Answer:

Step-by-step explanation:

The arrangement of the total point is an illustration of combination

There are 162 different arrangements of talent points

The number of points is:

Points = 9

The number of talents is:

Talents = 18

So, the number (n) of arrangement is:

n = 9 * 18

This gives

n = 162

Hence, there are 162 different arrangements of talent points

Read more about combination at:

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Answer:

um. there are no yellow.

Step-by-step explanation:

12%

22 + 16 = 38

38 - 32 = 6

6 / 50 = 12 / 100 = 12%

Answer:

False

Step-by-step explanation:

8^3=512

512 divded by 2=256

256=250

This is false.

Hence this equation is false

Answer:

False

Step-by-step explanation:

Given the following question:

[tex]8^3[/tex]

To find if the solution is true, we must first convert the exponent into a whole number by multiplying three by itself, three times since three is the exponent.

[tex]8^3[/tex]
[tex]8^3=8\times8\times8[/tex]
[tex]8\times8=64[/tex]
[tex]64\times8=512[/tex]

Now divide:
[tex]512[/tex]
[tex]512\div2=256[/tex]
[tex]=256[/tex]

Which means the following statement 8^3 divided by 2 = 250 is indeed "false."

Hope this helps.

Answer:

D'(2,0), E'(3,3), F'(6,4)

Step-by-step explanation:

The matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that, the coordinates of ΔDEF will be D(3, −2), E(4, 1), and F(7, 2).

For a translation 1 unit right and 2 units down we got the coordinates as D'(2,0), E'(3,3), and F'(6,4).

Thus, the matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).

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Answer:

66.67

Step-by-step explanation:

So if 69 is 100 percentage then we need to know; x. so x% is 46 then you turn that information into this equation.  100%/x%=69/49 so then you can solve that x is 66.67. So It is 66.67%

Answer:

D

Step-by-step explanation:

There are 4 queens out of 52 cards in a deck. Therefore, if each card has the same probability of getting chosen, you have a 4/52 = 0.077 chance of drawing a queen because there are (4 favorable outcomes/queens) / (52 total outcomes)

answer 7.5 I hope was not too late

Answer:

3/4

Step-by-step explanation:

Opposite sides of a parallelogram are congruent

6y +3 = 10y

3 = 4y

[tex]\frac{3}{4}[/tex] =  y

Answer:

0.6 multiply by 5250

its 3168

The Conversion of 0.6 miles is equal to 3,168 feet.

To convert 0.6 miles to feet, we need to use the conversion factor that 1 mile is equal to 5,280 feet.

As, 1 mile= 5280 feet

So, we can multiply 0.6 miles by the conversion factor:

= 0.6 miles x 5,280 feet/mile

= 3,168 feet

Therefore, 0.6 miles is equal to 3,168 feet.

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Solution:

Let the missing angle be x.

It should be noted:

This means that...

Combine like terms.

Subtract 44 both sides.

Simplify the RHS

Divide 2 both sides.

Answer:

68°

Step-by-step explanation:

Remember :

Solving :

Solution:

Note that:

Finding Maggie's age:

Finding Justin's age:

Let Justin's age be x

Let Maggie's age be y

[tex] \pmb {x = 10 + y} \\ \pmb{x-4=3(y-4)}[/tex]

Solve using the substitution method!!

[tex] \pmb{10 + y - 4 = 3(y - 4)}[/tex]

[tex] \sf 6 + y = 3y - 12[/tex]

[tex] \sf y - 3y =- 12 - 6[/tex]

[tex] \sf - 2y =- 18 [/tex]

[tex] \sf y =9[/tex]

Substitute the value of y into the first equation

[tex] \pmb{x= 10 + y} \\ \pmb{x = 10 + 9} \\ \pmb{x = 19}[/tex]

Thus, Maggie's age is 9 and Justin's age is 19...~

Answer:

x = mp - np

Step-by-step explanation:

Step 1: Multiply both sides by p.

Step 2: Subtract np from both sides.

Answer:

There is a 55% chance that it won't rain.

Answer:

28+16=44

Step-by-step explanation:

point of correction it has been solved correctly

when subtracting 44 - 16 it gives you 28

=> 44 - 16

=> 28

SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY

you will minus 28 from one of the numbers before the equal sign

the correct option is 28 + 16 equals to 44

=> 28+16=44

Hello.

We have a point that the line passes through and its slope.

Let's write the equation in Point-Slope Form:

y-y₁=m(x-x₁)

In this case,

y₁=2

m=[tex]\displaystyle\frac{1}{2}[/tex]

x₁=4

Plug in the values:

[tex]\mathrm{y-2=\displaystyle\frac{1}{2} (x-4)}[/tex]

This is point-slope form. Now, what about Slope-Intercept?

First, we should distribute [tex]\displaystyle\frac{1}{2}[/tex]:

[tex]\mathrm{y-2=\displaystyle\frac{1}{2} x-2}[/tex]

Add 2 to both sides:

[tex]\mathrm{y=\displaystyle\frac{1}{2} x-2+2}[/tex]

Simplify:

[tex]\mathrm{y=\displaystyle\frac{1}{2} x}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Step-by-step explanation:

Slope intercept form: y = mx + b

here, m is the slope and b is the y-intercept.

[tex]y=\dfrac{1}{2}x+b[/tex]

The line passes through the point(4,2)

.Plugin these x ad y values in the above equation to find 'b'

[tex]2= \dfrac{1}{2}*4+b\\\\\\2=2+b\\\\b = 2 - 2[/tex]

b = 0

Equation of the line :

[tex]y =\dfrac{1}{2}x[/tex]

Answer:

9

Step-by-step explanation:

Answer:

3/4 is 45 min, cause a quarter of an hour is 15 min. 6-9=-3 so you basically do Noon subtracted by another 3 hours which is 9am , then subtract those 45 min.

6pm - 6hours = 12pm

(Noon) 12 pm - 3 hours =9 am, then 45 min

9am - 45 min

8:15 am