find x in the right triangle

Answer:

Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon

Step-by-step explanation:

Step 1:  Determine the price of the Orange juice

$3.25 per 0.5 gallon

($3.25 * 2) per (0.5 * 2) gallon

($6.50) per (1) gallon

Step 2:  Determine the price of the Peach juice

$4.50 per 1.5 quarts

$4.50 per 0.375 gallon

($4.50 * 2.667) per (0.375 * 2.667) gallon

($12.00) per (1) gallon

Answer: Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon

a. The value of the definite integral [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

b.  The value of the definite integral [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

To answer the question, we need to know what definite integrals are.

These are integrals which are evaluated between two values of the variable.

[tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

Given that [tex]\int\limits^{10.5}_0 {f(x)} \, dx = 9, \int\limits^{3.5}_0 {f(x)} \, dx = 7 and \int\limits^{10.5}_7 {f(x)} \, dx = 3[/tex]

We require  [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]

So,  [tex]\int\limits^{10.5}_0 {f(x)} \, dx = \int\limits^{3.5}_0 {f(x)} \, dx + \int\limits^7_{3.5} {f(x)} \, dx + \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

Substituting the values of the variables into the equation, we have

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

 [tex]\int\limits^7_{3.5} {f(x)} \, dx = 9 - 7 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = 2 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = \int\limits^7_{3.5} 5{f(x)}\, dx - \int\limits^7_{3.5} 3\, dx\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = 5\int\limits^7_{3.5} {f(x)}\, dx - 3(7.5 - 3)\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= 5 X (-1 ) - 3 X 4.5 \\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= -5 - 13.5\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

So,  [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

Learn more about definite integrals here:

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Answer:

b

how far did you walk

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is b

Answer: Please check the image below.

Answer: 1

Step-by-step explanation:

9 - 3 ÷ 1/3 + 1 = 9 - 3 × 3/1 + 1

= 9 - 9 + 1 = 10 - 9 = 1.

' . , ' ' . , "-" & "+" . ' , ' .

. ^-^

Answer:

Option B

Step-by-step explanation:

Recreate the graph with a vertical intercept that is twice the value of the intercept shown in Figure 2 , because the angular velocity is increased from wy to 2wd . The slope of the line should be the same in both graphs , because the angular acceleration is the same in both graphs .

[tex] \frac{1}{4} \times \pi \times ({radius})^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times {12}^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times 144 = \\ [/tex]

[tex] \frac{144}{4} \pi = \\ [/tex]

[tex]36\pi[/tex]

Answer:

The employers pay their employees based on hourly rates, commission and salary.

Step-by-step explanation:

The employees get their pay based on hourly rates that can range from a minimum hourly rate of say $12 per hour to any maximum figure like $40 per hour.

The final salary is based on the numbers of hours worked multiplied by the hourly rate.

Secondly, the pays are also commission based. That is your base salary plus the commission.

The salary is typical in management positions. These are not hourly based but a lump sum pay.

So, the correct answers are : commission, hourly pay and salary.

Answer:

76 chess sets

Step-by-step explanation:
Since they bought 16 cases and each contains 18 sets, let's multiply them

16 x 18 = 288
There were already 16 sets before that so lets add those as well

288 + 16 = 304
Now since there are 4 teachers we divide this among them

304/4 = 76

76 is the answer.

Answer:

Never seen this before sorry can't help

Step-by-step explination:

Answer:

The equation of the line is y = 4.

Step-by-step explanation:

It looks like they are asking for the equation of the bold line.

Answer:

[tex]\frac{a-3}{(a-2)(a-6)}[/tex]

Step-by-step explanation:

[tex]a^{2}-3a[/tex] has the common multiple of a. If you factor it out, you get [tex]a(a-3)[/tex].

[tex]a^3-8a^2+12a[/tex] also has a common multiple of a. Once factored, you get [tex]a(a^2-8a+12)[/tex]. This equation can be further factored to get [tex](a-2)(a-6)[/tex].

Put these two expressions over one another and you get  [tex]\frac{a-3}{(a-2)(a-6)}[/tex].

Answer:79 degrees i believe

Step-by-step explanation:

Answer:

79 degrees.

Step-by-step explanation:

There is many ways you can take this problem.  The easiest is alternate exterior.  Since the 79 degree angle and angle B is outside and on opposite sides, they are the same value.

Answer:

10[tex]\sqrt{2\\} \\[/tex] or 14.14 appromiximately

Step-by-step explanation:

Area of square = 100

So length on side = 10 because all sides of square equal.

Length of Diagonal = Side x [tex]\sqrt{2}[/tex]

So the length of diagonal is 14.14 approximately

Answer:

3 3

6 3

Step-by-step explanation:

for reflecting over line y=x, you just change the places of y and x.

(6,3) becomes (3,6).

Answer:

if breadth is in cm then area is 4000cm^2

Step-by-step explanation:

if breadth is in meter area is 40m^2

formula

area =lb

Answer:

the first one

Step-by-step explanation:

Answer:Option A is correct. (light blue color in the triangle choices)

Answer:

0.875 is just 7/8, so 133.875 is 133 7/8 or (133*8+7)/8 = 1071/8

Started with $70

Coffee at $8.74/lb

Ended with $35.04

Susan bought 4 pounds of coffee.

:)

Answer:

t = 40

Step-by-step explanation:

The sum of the two angles is 70

70 = t+30

70-30 =t+30-30

40 =t

Answer:

40

Step-by-step explanation:

t = 70 - 30

t = 40

hope it helps

Answer:

x = 1, y = -2

Step-by-step explanation:

Answer: y=2.5x-8, the two points necessary to graph would be (2,-3) and (0,-8)

Step-by-step explanation: If the line passes thru (2,-3), let us plug in and find c. -3-2.5(2)=c

-3-5=c

c=-8 so y=2.5x-8

The line will represent the graph of the equation y=2.5x-8.

The two points necessary to graph would be (2,-3) and (0,-8).

The slope-intercept form is y=mx+c

If the line passes through (2,-3),

let us plugin and find c.

So we get,

[tex]-3-2.5(2)=c[/tex]

[tex]-3-5=c[/tex]

[tex]c=-8[/tex]

So, The equation of the line is y=2.5x-8.

To learn more about the equation visit:

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Answer: B

Step-by-step explanation:B because -3 + 5 is 2 and the line goes from -3 to 2

Answer:

3/10

Step-by-step explanation:

3 of the vertical bars are highlighted out of the 10 total bars. 3/10 is equivalent to 0.3.

Answer:

9 and 11

Step-by-step explanation:

let two numbers be X and X+2

so

x+X+2=20

solve for X

x=9

x=20

Answer:

11 + 9 = 20

Step-by-step explanation:

Consecutive odd nymbers are odd numbers that follow each other.

think which two consecutive odd number when added will give 20.

odd numbers = 1 3 5 7 9 11 13 15 17 19

9 follows 11 and when added will equal 20

Answer:

Part 1) 150

Part 2) 6

Step-by-step explanation:

Part 1) All you have to do is multiply 30 by 5, since 30 is only 20% of the number and you have to get to 100%

30×5 = 150

Part 2) There are multiple ways of doing this, but the way I did it is 30 divided by 100 so you have the number of each percentage. Then you multiply that number by 20 since you are trying to get 20%

30÷100 = 0.3

0.3×20 = 6

Please give brainliest if I helped!