Angie's neighbor sells T-shirts. T-shirts usually cost $20.00. This week,
each shirt is on sale for 20% off, plus 13% tax.
Calculate the sale price of one T-shirt with tax.

Answer:

tan(α) = 89.468

Step-by-step explanation:

90 - 0.532

Answer:

[tex]\frac{33}{16}[/tex]

Step-by-step explanation:

33/16 is the answer

Answer:

y= -7

Step-by-step explanation:

y=ax+b

Find a where a=y2-y1 /x2-x1

y2=13,y1=5 x2=5,x1=3

substituting the values

a=13-5/5-2

a=8/2

a=4

substituting a into the formular

y=4x+b

taking x and y values let say 3 and 5 for x and y

the equation becomes

5=4(3)+b

5=12+b

5-12=b

-7=b

substituting the values of a and b into the equation

y=4x-7

when x=0

y=4(0)-7

y=0-7

y=-7

so when x=0,y=-7

Answer:  

7

Step-by-step explanation:

8 divided by 56 equals 7

Answer:

  1/7 acre

Step-by-step explanation:

The number of acres planted is presumed to be proportional to the number of pounds of seeds:

  acres/pounds = 8/56 = x/1

  x = 1×8/56 = 1/7

  1/7 acre can be planted per pound of seed.

_____

Additional comment

When you recognize that 56 = 8×7, there is a tendency to want to divide 56 by 8. That would result in the unit rate ...

  (56 lb)/(8 ac) = 7 lb/ac

That is, it takes 7 pounds of seed to plant 1 acre. The question asks how many acres can be planted with 1 pound. Clearly, that is 1/7 of the amount of seed required for 1 acre, so 1 pound will plant 1/7 acre.

.3 * 365.25 = 109.575

365 - 109.575 = 255.425 = $255.43

Answer:

20/7

Step-by-step explanation:

Check the picture

Answer:

52.2

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The width of the Mississippi River at the St. Louis riverfront is approximately 1649.984 feet.

After apply Pythagorean theorem and angle properties for triangles, we have the following geometric diagram, attached below. By the law of the sine we can obtain the width of the Mississippi river ([tex]CD[/tex]), in feet:

[tex]\frac{2163.747\,ft}{\sin 123.690^{\circ}} = \frac{CD}{\sin 39.382^{\circ}}[/tex]   (1)

[tex]CD \approx 1649.984\,ft[/tex]

The width of the Mississippi River at the St. Louis riverfront is approximately 1649.984 feet. [tex]\blacksquare[/tex]

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Hi there!

a)

We can approximate g'(3) by finding the slope of g(t) over an interval containing t = 3.

We can use the endpoints t = 1 and t = 5 min for the best estimate.

[tex]slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20.5-15.1}{5-1} = \boxed{1.35 \frac{ft^3}{min^2}}[/tex]

This means that the rate of grain being added to the silo is INCREASING at a rate of 1.35 ft³/min². (Or in other words, the grain is being poured at an increasingly greater rate)

b)

The total amount of grain added is the integral of g(t), so:
[tex]\text{total amount of grain} = \int\limits^8_0 {g(t)} \, dt[/tex]
We can do a right riemann sum by using the right endpoints (t = 1, t = 5, t = 6, t = 8) to calculate.

Riemann sums are essentially rectangles added up to calculate an approximate value for the area under a curve.

The bases are the spaces between each value in the chart, while the heights are the values of g(t).

Using the intervals and values in the chart:

[tex]1(15.1) + 4(20.5) + 1(18.3) + 2(22.7) = \boxed{160.8 ft^3}[/tex]

c)
We can subtract the two integrals to find the total amount of unspoiled grain.

With g(t) being fresh grain and w(t) being spoiled grain, let y(t) represent unspoiled grain.

[tex]y(t) = \int\limits^8_0 {g(t)} \, dt - \int\limits^8_0 {w(t)} \, dt[/tex]

Use a calculator to evaluate:
[tex]y(t) = 160.8 - \int\limits^8_0 {w(t)} \, dt = 160.8 - 99.05 = \boxed{61.749 ft^3}[/tex]

d)
We can do the first derivative test to determine whether the amount of grain is increasing or decreasing. (Whether the first derivative is positive or negative at this value).

For the above integral, we know that the derivative is:
[tex]y'(t) = g(t) - w(t)[/tex]

Plug in the values for t = 6:

[tex]w(6) = 32 \cdot \sqrt{sin(\frac{\pi (6)}{74})} = 16.06[/tex]
[tex]y'(6) = g(6) - w(6) = 18.3 - 16.06 = 2.23 \frac{ft^3}{min}[/tex]

This value is POSITIVE, so the amount of unspoiled grain is INCREASING.

Answer: This question does not make sense since 2 minus 4 is -2 and 7 > -2, which means this inequality is true by itself. There are no "solutions" to this inequality since there are no variables. Maybe you made a typo?

Edit: I found the actual question on the internet (it's 7 > z - 4) and the answers are 6, 7, and 10.

This is because simplifying this inequality gives us 11 > z, and 6, 7, and 10 are the only values that are below 11.

Answer:

7 > z - 4

7 6 10

Step-by-step explanation:

you have a typo,

Answer: The answer is 139 feet

H = height of the pole =?

BC = ED = height of the transit = 4 ft

CD = BE = distance moved away from the base of the pole = 140 ft

Consider the ΔABE

tan44 = AE/BE

tan44 = h/140

h = 140 tan44

h = 135.2 ft

H = height of pole = AE + ED = h + ED = 135.2 + 4

H = 139.2 ft

Step-by-step explanation:

Answer:

Hope this answer helps you !

Answer:

D

Step-by-step explanation:

None of the others make sense. In answer D x+y is the same as x-y+2y because you add the y's and its the same thing as x+y.

Hope It Helped :)

Answer:

83

Step-by-step explanation:

all triangles =180° total

180-53-44=83°

Answer:  that equivalent to the expression 2x+3x+8-3x-2 would be the choices A and C. If you notice, in choice A, you have just combined all the like terms which results in 2x+6 and in Choice C, you have combined all your constants and the the two terms 2x and 3x resulting in 5x-3x+6 which all remain equivalent to he original given expression

Step-by-step explanation:

Answer:

c.10.6

Step-by-step explanation:

we take sin the angle on the length of the side that opposite to it ...

The value of x from the triangle is x = 10.6

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ABC

Now , the measure of hypotenuse of the triangle = 15

Let the angle be θ = 45°

From the trigonometric relations ,

sin θ = opposite / hypotenuse

On simplifying the equation , we get

sin 45° = x / 15

where sin 45° = 0.7071

So , the value of x = 0.7071 x 15

The value of x = 10.6

Hence , the value of x from the triangle is x = 10.6

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Answer:

27.1149675 feet (27 feet 1⅜ inch)

Step-by-step explanation:

i think

The equation that shows the monthly cost is y = 9 + 3x

The monthly cost is a function of the charge for a single user and the cost of additional users. The monthly cost increases with the number of additional users.

The charge for a single user can be considered a fixed cost since it remains constant while the cost of the additional user can be considered a variable cost since it increases with the number of users.

Y = 9 + 3x

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Answer: Y = 3x + 9

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

Explanation in the picture

1. Substitute f(x) = -4 into f(x)= x^2 - 12x + 32

Step-by-step explanation:

f(x)=x^2-12x+32

divide both sides by 4

answer -1/4x^2+3x-8

sorry if im wrong lol

Answer: there is a 1.2% of winning

Step-by-step explanation: there is a 1.2% chance of winning.

Step-by-step explanation:

The odds of one player that wins the jackpot should be 0.00156%.

Given that,

There are 3 dials.

In each dial, there are 40 positions.

So, the probability of receiving the jackpot should be \frac{1}{40}

40

1

Now the odds of one player that wins the jackpot should be

\begin{gathered}= \frac{1}{40} \times \frac{1}{40} \times \frac{1}{40} \\\\\end{gathered}

=

40

1

×

40

1

×

40

1

= 0.00156%

Therefore we can conclude that the odds of one player that wins the jackpot should be 0.00156%.

Step-by-step explanation:

You can find your answer by taking integral from 0 to 7 and then dividing it by 7.

Answer:

582.76 square inches of glass is required to construct the tank.

Step-by-step explanation:

Base dimension = 22×12 inches

volume of fish tank =3960 cubic inches

volume= l×b×h

3960=22×12×h

h=3960/(22×12)

h=3960/462

h=8.57 inches

the glass used=lateral surface area of a rectangular prism

=2h(l+b)

=2×8.57(22+12)

=17.14(34)

=572.76square inches

Answer:

[tex]1 \frac{1}2}[/tex]

Step-by-step explanation:

The question is asking [tex]\frac{1}{2}[/tex] times 2. You multiply 6 with the numerator to get [tex]\frac{6(1)}{4}[/tex] Simplify it and get 6/4, or one and one-half

Answer:

a)

Step-by-step explanation:

[tex]\dfrac{3p-1}{p^2-1}[/tex]

Factorize the denominator:

[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}[/tex]

Therefore,

[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{A}{p+1}+\dfrac{B}{p-1}[/tex]

[tex]\implies 3p-1=A(p-1)}+B(p+1)[/tex]

When p = 1:

[tex]\implies 2=A(0)}+B(2)[/tex]

[tex]\implies B=1[/tex]

When p = -1:

[tex]\implies -4=A(-2)}+B(0)[/tex]

[tex]\implies A=2[/tex]

Therefore,

[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{2}{p+1}+\dfrac{1}{p-1}[/tex]

Answer:The weight of Euclid is 10.625 pounds, and the weight of Riemann is 21.25 pounds.

Let the current weight of Euclid = x

Let the current weight of Pythagoras = T

Let the January weight of Pythagoras = y

The expression that represents the given scenario is written as;

when Pythagoras lost 13 pounds: T =  y - 13

when Pythagoras gains 1.2 times Euclid's weight: = T + 1.2x

when Pythagoras weight is 1/4 pound less than weight in January:

T + 1.2x + 0.25 = y

y- 13 + 1.2x + 0.25 = y

1.2x - 12.75 = 0

Euclid's weight is calculated as follows;

1.2x = 12.75

The weight of Riemann is calculated as follows;

Answer:

Knowing that it's 60 miles per hour, that would mean we multiply 60 x 5

Meaning, it would be 300 miles in five hours

Step-by-step explanation:

Answer: 300 miles

Step-by-step explanation: 60 * 5 = 300

Answer:

15 ft 1 in

Step-by-step explanation:

To convert inches into feet, we divide by 12.

Therefore, the answer is 15 ft 1 in.