Question 1

During manufacturing, the pressure in a hydraulic line increases from 90 lb/in ² to 145 lb/in ². What is the percent increase in pressure? Round to the nearest tenth of a percent if necessary. __________ %

Accepted Answer

The answer of During manufacturing, the pressure in a hydraulic...

Question 2

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = $35$ and d = $10$ .
A) W = 340.00
B) W = 350.00
C) W = 3.00
D) W = 3.50
E) W = 370.00

Accepted Answer

The formula for work done is W = fd. Substituting the given values, W = 35 * 10 = 350. Therefore, the correct answer is 350.00.

Question 3

Find the area of the triangle where the base is b, and the altitude is h. Let b = $52$ feet, and h = $40$ feet. A) Area = 72 ft ² B) Area = 2,080 ft ² C) Area = 1,040 ft ² D) Area = 184 ft ² E) Area = 1,050 ft ²

Accepted Answer

The area of a triangle is given by the formula A = (1/2)bh, where b is the base length and h is the altitude. Substituting the given values, we get A = (1/2)(52)(40) = 1040. Therefore, the area of the triangle is 1,040 square feet.

Question 4

Given the equation below find $\mathcal { V }$ . $v = v _ { 0 } + g t$ Let $\nu _ { 0 }$ = $9$ , g = $30$ and t = $5$ .
A) v = 44
B) v = 30
C) v = 159
D) v = 10
E) v = 171

Accepted Answer

The answer of Given the equation below find \(\mathcal {...

Question 5

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $27$ feet, and h = $21$ feet. A) Area = 567 ft ² B) Area = 283.5 ft ² C) Area = 48 ft ² D) Area = 96 ft ² E) Area = 579 ft ²

Accepted Answer

The area of a rectangle is calculated by multiplying the base by the height. Therefore, Area = b x h = 27 x 21 = 567 square feet. The correct answer is A.

Question 6

Find the area of the triangle where the base is b, and the altitude is h. Let b = $192$ meters, and h = $80$ meters. A) Area = 6,660 m ² B) Area = 30,720 m ² C) Area = 7,680 m ² D) Area = 15,360 m ² E) Area = 7,760 m ²

Accepted Answer

The formula for the area of a triangle is A = (1/2)bh, where b is the base and h is the altitude. Substituting the given values, we get A = (1/2)(192)(80) = 7,680. Therefore, the correct answer is C.

Question 7

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = $2,100$ and d = $100$ .
A) W = 121.0
B) W = 21.0
C) W = 212,100.0
D) W = 22.0
E) W = 210,000.0

Accepted Answer

Using the formula W = fd, where f = 2,100 and d = 100, the work done W = 2,100 * 100 = 210,000.

Question 8

Find the area of the triangle where the base is b, and the altitude is h. Let b = 42 centimeters, and h = 25 centimeters. A) Area = 2,100 cm ² B) Area = 525 cm ² C) Area = 513 cm ² D) Area = 1,050 cm ² E) Area = 67 cm ²

Accepted Answer

The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height (altitude). Substituting b = 42 cm and h = 25 cm, we get A = (1/2)(42 cm)(25 cm) = 525 cm^2. Therefore, choice B is correct.

Question 9

Find the volume of a box with the dimensions l = $57$ , w = $28$ , and h = $74$ . A) Volume = 11,628 in ³ B) Volume = 128,227 in ³ C) Volume = 76,664 in ³ D) Volume = 6,290 in ³ E) Volume = 118,104 in ³

Accepted Answer

The volume of a box is calculated by multiplying its length, width, and height: $57 \times 28 \times 74 = 118,104$ cubic inches.

Question 10

Find the area of the trapezoid where a and b are the lengths of the bases and h is the perpendicular distance between the bases. Let a = $10$ inches, b = $60$ inches, and h = $28$ inches. A) Area = 980 in ² B) Area = 16,800 in ² C) Area = 1,092 in ² D) Area = 8,400 in ² E) Area = 440 in ²

Accepted Answer

The area of a trapezoid is given by the formula $\frac{1}{2}(a+b)h$, where $a$ and $b$ are the lengths of the bases, and $h$ is the height. Substituting the given values, $\frac{1}{2}(10+60) \times 28 = 35 \times 28 = 980$ square inches.

Question 11

Given the following equation find $P .$ $P = i ^ { 2 } R$ Let i = $8$ , and R = $2,300$ .
A) P = 82,369
B) P = 18,400
C) P = 135,100
D) P = 139,900
E) P = 147,200

Accepted Answer

The answer of Given the following equation find $P .$...

Question 12

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $320$ centimeters, and h = $150$ centimeters. A) Area = 470 cm ² B) Area = 24,000 cm ² C) Area = 790 cm ² D) Area = 48,000 cm ² E) Area = 940 cm ²

Accepted Answer

The area of a rectangle is calculated by multiplying the base by the height. So, Area = b * h = 320 cm * 150 cm = 48,000 cm².

Question 13

Find the area of the trapezoid where a and b are the lengths of the parallel sides (bases) and h is the perpendicular distance between the bases. Let a = 4 feet, b = 7 feet, and h = 4 feet. A) Area = 56 ft ² B) Area = 24 ft ² C) Area = 22 ft ² D) Area = 112 ft ² E) Area = 7.5 ft ²

Accepted Answer

The answer of Find the area of the trapezoid where...

Question 14

Find the area of the trapezoid where a and b are the lengths of the bases and h is the perpendicular distance between the bases. Let a = 600 meters, b = 900 meters, and h = 50 meters. A) Area = 37,500 m ² B) Area = 52,500 m ² C) Area = 23,100 m ² D) Area = 540,025 m ² E) Area = 75,000 m ²

Accepted Answer

The area of a trapezoid is given by the formula A = (a + b)h/2, where a and b are the lengths of the bases and h is the perpendicular distance between the bases. In this case, a = 600 meters, b = 900 meters, and h = 50 meters, so the area is A = (600 + 900)50/2 = 37,500 square meters.

Question 15

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $8$ meters, and h = $6$ meters. A) Area = 50.0 m ² B) Area = 44.0 m ² C) Area = 28.0 m ² D) Area = 24.0 m ² E) Area = 48.0 m ²

Accepted Answer

The formula for finding the area of a rectangle is A = bh. Plugging in b = 8 and h = 6 gives A = 8 x 6 = 48. Therefore, the area of the rectangle is 48 square meters, which is answer choice E.

Question 16

Given the following equation, $\text { find } L$ $L = \frac { E } { Z }$ Let E = $255$ , and Z = $15$ .
A) L = 17
B) L = 240
C) L = 15
D) L = 270
E) L = 13

Accepted Answer

L is calculated by dividing E by Z. Given E = 255 and Z = 15, L = 255 / 15 = 17.

Question 17

Given the equation $Q = C V ,$ find $Q$ . Let C = $13$ , and V = $2,800$ .
A) Q = 36,400
B) Q = 36,413
C) Q = 215
D) Q = 2,813
E) Q = 39,400

Accepted Answer

Given $Q = C \times V$, substituting $C = 13$ and $V = 2,800$ gives $Q = 13 \times 2,800 = 36,400$.

Question 18

The following formula is used to calculate piston displacement. Find the piston displacement to three decimal places, where c is a constant, d is the cylinder bore, S is the stroke, and N is the number of cylinders. $p = c d ^ { 2 } S N$ Let c = $0.7854$ , d = $5$ , S = $4$ and N = $7$ .
A) P = 769.692
B) P = 561.903
C) P = 569.236
D) P = 549.780
E) P = 431.797

Accepted Answer

The answer of The following formula is used to calculate...

Question 19

Find the area of the triangle where the base is b, and the altitude is h. Let b = $10$ inches, and h = $8$ inches. A) Area = 36 in ² B) Area = 42 in ² C) Area = 40 in ² D) Area = 160 in ² E) Area = 80 in ²

Accepted Answer

The area of a triangle is given by the formula A = (base x height) / 2. Substituting b = 10 and h = 8 into the formula, we get A = (10 x 8) / 2 = 40. Therefore, the answer is C.

Question 20

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = $1,100$ and d = $10$ .
A) W = 110
B) W = 11,000
C) W = 1,100
D) W = 120
E) W = 11,100

Accepted Answer

Using the formula W = fd and plugging in f = 1,100 and d = 10, we get W = 1,100 × 10 = 11,000. Therefore, the answer is choice B.

Quiz 1: Basic Concepts

During manufacturing, the pressure in a hydraulic line increases from 90 lb/in 2 to 145 lb/in 2. What is the percent increase in pressure? Round to the nearest tenth of a percent if necessary. __________ %

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = 353535 and d = 101010 .

Find the area of the triangle where the base is b, and the altitude is h. Let b = 525252 feet, and h = 404040 feet.

Given the equation below find V\mathcal { V }V . v=v0+gtv = v _ { 0 } + g tv=v0​+gt Let ν0\nu _ { 0 }ν0​ = 999 , g = 303030 and t = 555 .

Find the area of the of a rectangle where the base is b, and the height is h. Let b = 272727 feet, and h = 212121 feet.

Find the area of the triangle where the base is b, and the altitude is h. Let b = 192192192 meters, and h = 808080 meters.

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = 2,1002,1002,100 and d = 100100100 .

Find the area of the triangle where the base is b, and the altitude is h. Let b = 42 centimeters, and h = 25 centimeters.

Find the volume of a box with the dimensions l = 575757 , w = 282828 , and h = 747474 .

Find the area of the trapezoid where a and b are the lengths of the bases and h is the perpendicular distance between the bases. Let a = 101010 inches, b = 606060 inches, and h = 282828 inches.

Given the following equation find P.P .P. P=i2RP = i ^ { 2 } RP=i2R Let i = 888 , and R = 2,3002,3002,300 .

Find the area of the of a rectangle where the base is b, and the height is h. Let b = 320320320 centimeters, and h = 150150150 centimeters.

Find the area of the trapezoid where a and b are the lengths of the parallel sides (bases) and h is the perpendicular distance between the bases. Let a = 4 feet, b = 7 feet, and h = 4 feet.

Find the area of the trapezoid where a and b are the lengths of the bases and h is the perpendicular distance between the bases. Let a = 600 meters, b = 900 meters, and h = 50 meters.

Find the area of the of a rectangle where the base is b, and the height is h. Let b = 888 meters, and h = 666 meters.

Given the following equation, find L\text { find } L find L L=EZL = \frac { E } { Z }L=ZE​ Let E = 255255255 , and Z = 151515 .

Given the equation Q=CV,Q = C V ,Q=CV, find QQQ . Let C = 131313 , and V = 2,8002,8002,800 .

Find the area of the triangle where the base is b, and the altitude is h. Let b = 101010 inches, and h = 888 inches.

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = 1,1001,1001,100 and d = 101010 .

During manufacturing, the pressure in a hydraulic line increases from 90 lb/in ² to 145 lb/in ². What is the percent increase in pressure? Round to the nearest tenth of a percent if necessary. __________ %

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = $35$ and d = $10$ .

Find the area of the triangle where the base is b, and the altitude is h. Let b = $52$ feet, and h = $40$ feet.

Given the equation below find $\mathcal { V }$ . $v = v _ { 0 } + g t$ Let $\nu _ { 0 }$ = $9$ , g = $30$ and t = $5$ .

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $27$ feet, and h = $21$ feet.

Find the area of the triangle where the base is b, and the altitude is h. Let b = $192$ meters, and h = $80$ meters.

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = $2,100$ and d = $100$ .

Find the volume of a box with the dimensions l = $57$ , w = $28$ , and h = $74$ .

Find the area of the trapezoid where a and b are the lengths of the bases and h is the perpendicular distance between the bases. Let a = $10$ inches, b = $60$ inches, and h = $28$ inches.

Given the following equation find $P .$ $P = i ^ { 2 } R$ Let i = $8$ , and R = $2,300$ .

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $320$ centimeters, and h = $150$ centimeters.

Find the area of the of a rectangle where the base is b, and the height is h. Let b = $8$ meters, and h = $6$ meters.

Given the following equation, $\text { find } L$ $L = \frac { E } { Z }$ Let E = $255$ , and Z = $15$ .

Given the equation $Q = C V ,$ find $Q$ . Let C = $13$ , and V = $2,800$ .

Find the area of the triangle where the base is b, and the altitude is h. Let b = $10$ inches, and h = $8$ inches.

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = $1,100$ and d = $10$ .