Write the slope intercept form of the equation of each line.

Answer:

x = mp - np

Step-by-step explanation:

Step 1: Multiply both sides by p.

Step 2: Subtract np from both sides.

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

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

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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:

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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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 :

answer 7.5 I hope was not too late

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:

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:

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:

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:

6.2

Step-by-step explanation:

pretty sure this is the answer-- ^^

The mean of the given data set  {6, 11, 5, 2, 7} is 6.2.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that;

Data set= {6, 11, 5, 2, 7}

Now,

To find the mean of a data set, you need to add up all the values and divide by the number of values.

In this case, there are 5 values in the data set: 6, 11, 5, 2 and 7.

To find the mean, follow these steps:

Add up all the values: 6 + 11 + 5 + 2 + 7 = 31

Divide by the number of values: 31 / 5 = 6.2

Therefore, by the mean the answer will be 6.2.

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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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Answer:

DOMAIN : x ∈ (-∞ , -3 )U (4 , ∞) or {x | x ∈ R where x ≠ -3 and 4}

REAL ZEROS : x = 5/3

Step-by-step explanation:

[tex]f(x) = \frac{3x -5}{x^{2} -x-12}[/tex]

factorize the bottom part

[tex]x^{2} - x - 12[/tex]

product = -12 , sum = -1 , factors = -4 and 3

[tex]x^{2} +3x-4x-12=0[/tex]

x (x + 3) - 4(x + 3) = 0

(x - 4) ( x + 3) = 0

x - 4 = 0 and x + 3 = 0

x = 4 and x = -3

for the function f(x) the domain is all real numbers ( R ) except - 3 and 4

Domain = x ∈ (-∞ , -3 )U (4 , ∞)

TO FIND THE ZEROS LET f(x) be equal to zero

[tex]0 = \frac{3x - 5}{x^{2} - x - 12}[/tex]

cross multiply

0 = 3x - 5

find x

3x = 5

[tex]x = \frac{5}{3}[/tex]

The total amount accrued, principal plus interest, with compound interest on a principal of $100.00 at a rate of 3% per year compounded 12 times per year over 1 years is $103.04.

Given data

A = P + I where

P (principal) = $100.00

I (interest) = $3.04

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 100.00(1 + 0.03/12)^(12)(1)

A = 100.00(1 + 0.0025)^(12)

A = $103.04

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Answer:

9

Step-by-step explanation:

Answer:

C. (5,7)

Step-by-step explanation:

One endpoint at 1,3 and the midpoint at 3,5Your answer would be to as two to each the x and y of the midpoint. So the answer would be 5,7.

Answer:

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

Step-by-step explanation:

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:

um. there are no yellow.

Step-by-step explanation:

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:

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:

I think it is dividing the numbers by 2

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...~

12%

22 + 16 = 38

38 - 32 = 6

6 / 50 = 12 / 100 = 12%

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