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2 years ago

If you like graphing this is for you :D

Mathematics

1 answer:

Pavel [41]2 years ago

3 0

Answer:

You are trying to find the x-value when the y-value is 2. On the graph, the x-value is -3 when the y-value is 2. So, the x-value when f(x)=2 is -3.

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Find the value of 6 to the pwer of 3

Neko [114]

6^3 = 6 x 6 x 6 = 216

4 0

3 years ago

Select the correct answer from each drop-down menu

RoseWind [281]

Answer:

130 gallons initally, losing approx. 1.33333 gallons per minute, will be empty in approx 97.5 min

Step-by-step explanation:

1: y-intercept = (0, 130)

2: take two points (0, 130) & (30, 80)

use slope equation (80 - 130)/ (30 - 0) = -40/30 = -4/3

3: line equation is y=-4/3x+130

make y=0

0=-4/3x+130

-130=-4/3x

-130/-4/3=x

97.5=x

4 0

2 years ago

Read 2 more answers

An architecture firm creates blueprints for office buildings. Last week, they produced four rectangular blueprints for four diff

Readme [11.4K]

Answer:

The order from greatest to least :

Project B > Project A > Project D > Project C

Step-by-step explanation:

Project A : A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000.

Scale factor = $\frac{1 inch}{4 feet}$

Length of the office building on blueprint = l =20 inch

Width of the office building on blueprint = b =15 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{4feet}=\frac{20 inch}{L}$

L = 80 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{4feet}=\frac{15 inch}{B}$

B = 60 feet

Area of the building = $L\times B=80 ft\times 60=4800 ft^2$

Cost of project = $22,000

Cost of project per square foot = $\frac{\$22,000}{4800 ft^2}=4.58 \$/ft^2$

Project B : A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000.

Scale factor = $\frac{1 inch}{8 feet}$

Length of the office building on blueprint = l =10 inch

Width of the office building on blueprint = b =8 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{8feet}=\frac{10 inch}{L}$

L = 80 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{8feet}=\frac{8 inch}{B}$

B = 64 feet

Area of the building = $L\times B=80 ft\times 64=5120 ft^2$

Cost of project = $25,000

Cost of project per square foot = $\frac{\$25,000}{5120 ft^2}=4.88 \$/ft^2$

Project C : A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000.

Scale factor = $\frac{1 inch}{6 feet}$

Length of the office building on blueprint = l =15 inch

Width of the office building on blueprint = b =12 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{6 feet}=\frac{15 inch}{L}$

L = 90 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{6feet}=\frac{12 inch}{B}$

B = 72 feet

Area of the building = $L\times B=90 ft\times 72ft=6480 ft^2$

Cost of project = $27,000

Cost of project per square foot = $\frac{\$27,000}{6480ft^2}=4.17\$/ft^2$

Project D :An 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000

Scale factor = $\frac{1 inch}{12 feet}$

Length of the office building on blueprint = l = 8 inch

Width of the office building on blueprint = b =6 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{12 feet}=\frac{8 inch}{L}$

L = 96 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{12feet}=\frac{6 inch}{B}$

B = 72 feet

Area of the building = $L\times B=96 ft\times 72ft=6912 ft^2$

Cost of project = $27,000

Cost of project per square foot = $\frac{\$30,000}{6912ft^2}=4.34\$/ft^2$

Project B > Project A > Project D > Project C

4 0

3 years ago

If a car has tires with a radius of 1.5 ft and the tires are spinning at 840 rpm (revolutions per

tamaranim1 [39]

Answer:

89·98 mph

Step-by-step explanation:

First, we get the circumference of the tires:

Circumference = $\pi$ × (radius × 2)

Circumference = 3.142 × (1·5 × 2)

Circumference = 3·142 × 3

Circumference = 9·426 ft

The circumference of the tire is equal to one round.

1 round = 9·426 ft

840 rounds = ?

We cross multiply to get the length that the tires would cover in a minute

= 840 × 9·426

1 minute = 7917·84 ft

60 minutes = ?

60 × 7917·84

= 475070·4 ft

5280 feet = 1 mile

475070·4 feet = ?

475070·4 × 1

5280

475070·4 ÷ 5280 = speed of the car in mph

89·97545

Round this off to 2 decimal places...

= 89·98 mph

hope this helps! =)

5 0

3 years ago

To rationalize the denominator of StartFraction 5 minus StartRoot 7 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction , you

TEA [102]

Answer:

the answer is the 3rd one

Step-by-step explanation:

i jusst took the test on edge

7 0

3 years ago

Read 2 more answers

If you like graphing this is for you :D​

If you like graphing this is for you :D