PLEASE SOLVE ASAP

Use the point and the slope to graph each line. Write the equation of the line.

The line contains point (2, –2) and is perpendicular to a line with slope –1.

Full question attached:

Answer and explanation:

A) B2*B10: cell B2 and B10 have the values regular swear costs and number of swears respectively and we need to multiply these two values to get our answer

B) =IF(B10>10,(B10-10)*B3,0): Sam is supposed to pay an extra $2 for swear words over 10 and so we check if his swear words are above 10 and if they are we find out how many they are by subtracting 10 from them and then we multiply the value gotten by the cost for extra swear words($2)

C) =IF(B10<5,B10*B4,0): here we check if swear words are less than 5 and if they are we multiply number of swears words less than by 5 by the cost ($0.50)

D) F10=C10+D10+E10: to calculate total money in jar(F10), we simply add up regular cost(C10), extra cost(D10) and refund(E10)

(a) Volume of Square is 1024/3.

(b) Volume of equilateral triangle is 256√3/3.

(c) Volume of semicircle is 128π/3.

(d) Volume of isosceles right triangle is 512/3.

What is volume?

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, different imperial units, or US customary units. Volume definition and length definition are related.

Given:

The bases of the solids are bounded by the circle x^2 + y^2 = 16.

(a) First to find the volume of square.

a. Volume

v = \(\int\limits^4_-_4\) 4(16 - x2)dx

 = 8(16x - x3/3)(0 to4 )

 = 8(64 - 64/3)

  = 1024/3.

b. Volume

v = \(\int\limits^4_-_4\)√3(16 - x2)dx

  = 2√3(16x - x3/3(0 to 4)

  = 2√3(64 - 64/3)

V = 256√3/3.

c. Volume

v = \(\int\limits^4_-_4\)π/2(16 - x2)dx

  = π(16x - x3/3)(0 to 4)

  = 128π/3

d. Volume

v = \(\int\limits^4_-_4\)2(16 - x2)dx

  = 4(16x - x3/3)(0 to 4)

V = 512/3

Hence,

(a) Volume of Square is 1024/3.

(b) Volume of equilateral triangle is 256√3/3.

(c) Volume of semicircle is 128π/3.

(d) Volume of isosceles right triangle is 512/3.

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\(8-2z+3(x+y)\) when x is 4, y is 9, and z is 3

Substitute:

\(8-2(3)+3(4+9)\)

\(8-6+39\)

Solve:

\(8-6+39\\=\fbox{23}\)

\(\huge\text{Hey there!}\)

\(\mathsf{8 - 2z + 3(x + y)}\)

\(\mathsf{= 8 - 2(3) + 3(4 + 9)}\)

\(\mathsf{= 8 - 6 + 3(4) + 3(9)}\)

\(\mathsf{= 8 - 6 + 12 + 27}\)

\(\mathsf{= 2 + 12 + 27}\)

\(\mathsf{= 14 + 27}\)

\(\mathsf{= 41}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{41}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

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Answer:

B

Step-by-step explanation:

The number line best represents the possible amounts of money Jen would need to save to go camping is drawn below which is more than $90.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

Jen needs more than $120 to go camping. She has already saved $30.

Let 'x' be the amount that he required. Then the equation is given as,

x + 30 > 120

x > 120 - 30

x > 90

The number line best represents the possible amounts of money Jen would need to save to go camping is drawn below which is more than $90.

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Answer: log(2) 512= 9

Step-by-step explanation:

A P E X ;)

In logarithmic form, the expression \(2^9 = 512\) can be rewritten as follows:

\(log_{(2)}\ 512 = 9\)

As we know that the logarithmic form allows us to express the exponent as the logarithm of the base to a certain value, which in this case is 9.

To understand this, let's break down the expression.

The base of the logarithm is 2, and the result of raising 2 to the power of 9 is 512.

By taking the logarithm of 512 to the base 2, we get the exponent, which is 9.

So, in logarithmic form can be written as:

\(log_{(2)}\ 512 = 9\)

Therefore, in logarithmic form, the expression \(2^9 = 512\) can be rewritten as follows:

\(log_{(2)}\ 512 = 9\)

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the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%

Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.

We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).

Hence, the periοdic interest rate fοr each mοnth is:

15.75% / 12 = 1.3125%

The result οf rοunding tο the clοsest hundredth οf such a percent is:

1.31%

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1 kilometer = 1000 meters

5000 meters / 1000 = 5 kilometers

5 kilometers x 2 times per day = 10 kilometers per day.

answer: D) 10 kilometers

the rounding off is done on the sencond digit after the decimal point

so the stopping position is on 1

since 6, which is the next number after 1 is greater than 5

we make it 1 and add to the stopping position digit which is 1

that is why the 1 becomes 2 (i.e 1+1)

to convert 0.42 to percent

we first convert 0.42 to fraction, since the place value of 2 is hundreth

then to move the decimal point beyond 2, we will multiply by 1/100

i.e 42 x 1/100

% means 1/100

then 42/100 implies 42%

Answer:

Jason likely misplaced the decimal, because 3x1 = 3, and if the decimal was between the 2 and the 5, the number would be near 3.

Step-by-step explanation:

(3.4 / 4) × 3 = 2.55

Answer:

answer B

Step-by-step explanation:

did the test

Answer:

They arrived at 12pm.

Step-by-step explanation:

7:30am + 4 hours = 11:30am.

You still have 30 minutes left, so add those together.

11:30am + 30 minutes = 12pm.

the time when they left = 7:30 am

The interval of the trip on the train = 4hours 30 minutes

that can be written as 4:30

so 7:30+4:30 = 11:60 = 12:00(ans)

Hope it helps

Answer:

1) \( E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%\)

2) \(E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%\)

3) \( E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1 \)

And the variance would be given by:

\(Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89\)

And the deviation would be:

\( Sd(M) = \sqrt{13.89}= 3.73\)

4) \( E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8 \)

And the variance would be given by:

\(Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56\)

And the deviation would be:

\( Sd(M) = \sqrt{55.56}= 7.45\)

Step-by-step explanation:

For this case we have the following distributions given:

Probability  M   J

0.3           14%  22%

0.4           10%    4%

0.3           19%    12%

Part 1

The expected value is given by this formula:

\( E(X)=\sum_{i=1}^n X_i P(X_i)\)

And replacing we got:

\( E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%\)

Part 2

\(E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%\)

Part 3

We can calculate the second moment first with the following formula:

\( E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1 \)

And the variance would be given by:

\(Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89\)

And the deviation would be:

\( Sd(M) = \sqrt{13.89}= 3.73\)

Part 4

We can calculate the second moment first with the following formula:

\( E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8 \)

And the variance would be given by:

\(Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56\)

And the deviation would be:

\( Sd(M) = \sqrt{55.56}= 7.45\)

Answer:

(e-1-1)2=0.3996

Step-by-step explanation:

Answer:

7/14+6/14=13/14

Step-by-step explanation:

find the common denominator(14)

change both fractions

1/2*7/7(2*7=14)=7/14

3/7*2/2(7*2=14)6/14

then add.

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

The measure of angle QRS in triangle QRS is found as 56.8 degrees.

An angle is  formed when two straight lines or rays meet at a common endpoint.

We know  that the sum of the angles in a triangle is  180 degrees.

In triangle QRS,  

angle RSQ = 48.2 degrees

angle SQR = 75 degrees.

48.2 + 75 + QRS  = 180 (sum of angles in a triangle)

123.2 + QRS  = 180

QRS  = 180 - 123.2

QRS  = 56.8

In conclusion, a triangle is described as a polygon with three edges and three vertices.

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Answer:

y = x + 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Standard Form: x - y = -8

Step 2: Rewrite

Find slope-intercept form

Answer:

A. -5(x + 2) = -4x - 12 - x + 2

Step-by-step explanation:

The equation that has infinitely many solutions will be the same on both sides.

A is the correct answer.

Simplify the equation by distributing -5 and adding like terms:

-5(x + 2) = -4x - 12 - x + 2

-5x - 10 = -4x - 12 - x + 2

-5x - 10 = -5x - 10

So, this equation is the same on both sides and will have infinitely many solutions.

A is the correct answer.

Answer:

A has infinitely many solutions

Step-by-step explanation:

Once you distribute A you get

-5x-10= -4x-12-x+2

Once you simplfy all that you get

-5x-10= -5x-10

You can check this by putting in a random number and both sides will be equal.

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer:

what is 1346 supposed to mean?  but the answer for 2x=<8 is x=4 and 6

Step-by-step explanation:

A committee of 6 students is to be selected from 15 students in a fraternity.

a. In how many ways can this be done?

b. In how many ways can the group that will not take part be chosen?

Part a

Find out the combination 15C6

where

n=15

r=6

substitute

15C6=5,005

The answer part a is 5,005 ways

Part b

Find out 15C9

because

not take part to be chosen=15-6=9

n=15

r=9

substitute

15C9=5,005 ways

Answer:

80 cm

Step-by-step explanation:

The diagonals divide the rhombus into four congruent triangles.  The height of each triangle is 18/2 = 9, and the hypotenuse is 41.  Using Pythagorean theorem, the width of each triangle is:

c² = a² + b²

41² = 9² + x²

x = 40

Therefore, the longer diagonal is 2×40 = 80.

Answer:

\(\frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Step-by-step explanation:

\(y=\frac{8x}{3-tan(x)}\\ \\\frac{dy}{dx}=\frac{(3-tan(x))(\frac{d}{dx}8x)-(\frac{d}{dx}(3-tan(x)))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{(3-tan(x))(8)-(-sec^2(x))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{24-8tan(x)+8xsec^2(x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{8xsec^2(x)-8tan(x)+24}{(3-tan(x))^2}\\\\ \frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Remember to use the Quotient Rule

Answer:

Step-by-step explanation:

what is equivalent to

1/4: 2/8,  4/16,  8/32....... and etc-                                        

3:8: 6/16, 9/24 and etc.......-

i was listening to rhinestone eyes while typing this-

ty :P

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

The slope of the relationship is m = 5. Hence option A is the correct option.

What is the relationship?

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relationship and the objects x and y come from different sets, then the objects are said to be connected. One kind of relationship is a function.

Given linear relationship:

x             y

-2           -12

-1            -7

0             -2

1               3

2              8

The slope of the linear relationship that passes through the points (x₁, y₁) and (x₂, y₂) is [(y₂ - y₁)/(x₂ - x₁)].

Here, x₁ = -2 , y₁ = -12, x₂ = -1, y₂ = -7

The slope is (-7 - (-12))/(-1 - (-2))

=(-7 + 12)/(-1 + 2)

= 5/1

= 5

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Answer:

11.25

Step-by-step explanation: