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2 months ago

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2 months ago

35 T-Shirts. The charge is $45 per order for service so you take $325 - $45. that gives you 280. Then divide by 8 because it is $8 per shirt. This gives you 35 T-shirts.

Question

How do I solve 4n=20? Please help

Solution 1

N=20/4

n=5

therefore 5 is your answer

n=5

therefore 5 is your answer

Question

You roll a standard number cube Find p( number greater than 1)

Solution 1

In a cube, there are six sides: just like a dice, the set of possibilities are {1, 2, 3, 4, 5, 6}. In this case, the number of sample set is 6. Hence the probability of getting a number greater than 1 is 5 that is fromÂ {1, 2, 3, 4, 5}; 5/6. The answer to this problem is 5/6.

Question

What is the common multiplier in the proportion 4072-01-01-05-00_files/i0370000.jpg?

Solution 1

Your file didn't work.

What is the common multiplier in the proportion 4072-01-01-05-00_files/i0370000.jpg?

^^^^^That's all this we can see, there's no link.

What is the common multiplier in the proportion 4072-01-01-05-00_files/i0370000.jpg?

^^^^^That's all this we can see, there's no link.

Question

Franklin deposits $3500 in an account that earns 3.5% interest compounded annually. What function equation represents the balance of the account after t years?

Solution 1

The correct answer to this question is this equation:

**f(t) = 3500Ã—(1.035)^tÂ **

The statement that says, "Franklin deposits $3500 in an account that earns 3.5% interest compounded annually" can be stated in a form of function.

3.5% --> 0.035 + 1 for 1 year

$3500 --> $3500

So the equation would be

f(t) = $3500 * 1.035^t

The statement that says, "Franklin deposits $3500 in an account that earns 3.5% interest compounded annually" can be stated in a form of function.

3.5% --> 0.035 + 1 for 1 year

$3500 --> $3500

So the equation would be

f(t) = $3500 * 1.035^t

Question

Expand and simplify:
(x+2)(x+2)

Solution 1

Use foil which is a lazy way to remember theh distributive property

goes like this

multiply

First terms

Outer terms

Inner terms

Last terms

and add them all toegethe

so

(x+2)(x+2)

First: x times x or xÂ²

Outer: x times 2 or 2x

Inner: 2 times x or 2x

Last: 2 times 2 or 4

add them toegether

xÂ²+2x+2x+4=

xÂ²+4x+4

goes like this

multiply

First terms

Outer terms

Inner terms

Last terms

and add them all toegethe

so

(x+2)(x+2)

First: x times x or xÂ²

Outer: x times 2 or 2x

Inner: 2 times x or 2x

Last: 2 times 2 or 4

add them toegether

xÂ²+2x+2x+4=

xÂ²+4x+4

Question

A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function h = âˆ’16t2+ 40t + 10. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ballâ€™s maximum height?

Solution 1

The maximum(or minimum) of a parabolic function would be it's vertex.

To find the vertex use the formula x = -b/(2a), after finding x, plug x back into the function to find y.

The function needs to be in standard form ax^2 + bx + c, so

a = -16, b = 40

x = -40/(2*-16) = 1.25

y = -16(1.25)^2 + 40(1.25) + 10

y = -25 + 50 +10

y = 35

The maximum height is the y value of the vertex. 35 feet is the answer.

To find the vertex use the formula x = -b/(2a), after finding x, plug x back into the function to find y.

The function needs to be in standard form ax^2 + bx + c, so

a = -16, b = 40

x = -40/(2*-16) = 1.25

y = -16(1.25)^2 + 40(1.25) + 10

y = -25 + 50 +10

y = 35

The maximum height is the y value of the vertex. 35 feet is the answer.

Question

conrad has a book about the outdoors, and 2/5 of the book is about camping. Conrad has read 1/3 of the section on camping. What part of the book has conrad read?

Solution 1

1/3 of the camping

1/3 of 2/5

1/3 times 2/5

2/15

read 2/15 of the book

1/3 of 2/5

1/3 times 2/5

2/15

read 2/15 of the book

Question

Explain how to solve one absolute value equation by writing it as two equations.

Solution 1

If you have

|a|=b, then solve for the variable in euations

a=b and a=-b

for ineqalities, it is much trickier

for

|a|>b, assume a>b and a<-b

for

|a|<b, asssume -b<a<b

|a|=b, then solve for the variable in euations

a=b and a=-b

for ineqalities, it is much trickier

for

|a|>b, assume a>b and a<-b

for

|a|<b, asssume -b<a<b

Question

Tell if the following pair of lines is parallel, perpendicular or neither. 3x â€“ 2y = 16
y = -2/3x + 4

Solution 1

Paralell means has same slope

perpendicular has slopes that multiply to -1

the slopes

for

ax+by=c, slope is -a/b

y=mx+b, slope=m

3x-2y=16, slope=-3/-2=3/2

y=-2/3x+4, slope=-2/3

3/2â‰ -2/3, so not paralell

try multiplying them

-6/6=-1

perpendicular

they are perpendicular

perpendicular has slopes that multiply to -1

the slopes

for

ax+by=c, slope is -a/b

y=mx+b, slope=m

3x-2y=16, slope=-3/-2=3/2

y=-2/3x+4, slope=-2/3

3/2â‰ -2/3, so not paralell

try multiplying them

-6/6=-1

perpendicular

they are perpendicular

Solution 2

3x â€“ 2y = 16

2y = 3x - 16

y = 3/2x - 16/3 slope = 3/2

compare withÂ y = -2/3x + 4 slope = -2/3Â

answer:Â perpendicularÂ

2y = 3x - 16

y = 3/2x - 16/3 slope = 3/2

compare withÂ y = -2/3x + 4 slope = -2/3Â

answer:Â perpendicularÂ

Question

Write an equation of a line that is parallel to y = 3x â€“ 5 and goes through the point (3, 1).

Solution 1

Paralell means has same lsope

y=mx+b

m=slope

given

y=3x-5

slope=3

y=3x+b

find b

(3,1)

x=3

y=1

sub and find b

1=3(3)+b

1=9+b

minus 9 both sides

-8=b

y=3x-8 is equation

y=mx+b

m=slope

given

y=3x-5

slope=3

y=3x+b

find b

(3,1)

x=3

y=1

sub and find b

1=3(3)+b

1=9+b

minus 9 both sides

-8=b

y=3x-8 is equation

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