The length of a trip varies directly as the amount of gasoline used. Yael's car used 16 L for the first 145 km of his trip from Toronto to Montreal. a) How much gasoline, rounded to the nearest litre, should he expect to use in the remaining 400 km of his trip? b) Can he complete the trip with a budget of $70, if gasoline costs $1.13/L?

Answer:

45X2y4

Step-by-step explanation:

3√225X2y4

Simplify to

45X2y4

=45X2y4

Answer:

5, 240

Step-by-step explanation:

Answer:

Liz scored more because she would score 94%, while Austin only scored 92%

Answer:

comment if you need a better explanation

9514 1404 393

Answer:

  19.6 in²

Step-by-step explanation:

The area in terms of the diameter is given by ...

  A = (π/4)d²

  A = π/4(5 in)² = 25π/4 in² ≈ 19.6 in²

Answer:

Easiest to pick (0, 0) and (1, 1) probably, then slope is 1.

Step-by-step explanation:

Rise over run for (0, 0) and (1, 1)  is rise up 1 and run over 1, so 1/1.

This means slope is 1

Answer:

It all depends.

Step-by-step explanation:

If you could post an image or something to help us along, I could probably help you.

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that [tex]\mu = 490, \sigma = \sqrt{400} = 20[/tex]

What is the probability that a randomly selected pill contains at least 500 mg of minerals?

This is 1 subtracted by the p-value of Z when X = 500. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{500 - 490}{20}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

The probability is 0.3085.

Let X=the amount of minerals.

We have to find P(X≥500).

Mean = 490.

Standard deviation = [tex]\sqrt{400}=20[/tex].

z score of 500 is = [tex]\frac{500-490}{20 } =0.5[/tex].

So, P(X≥500) = P(z≥0.5) = 1 - P(z<0.5) = 1-0.6915=0.3085.

Learn more: https://brainly.com/question/14109853

Answer:

Step-by-step explanation:

take angle A as reference angle

using tan rule

tan A=opposite/adjacent

tan A=5/12

tan A=0.41

A=tan 22.5

A=22.5

for ratio,

tan A=5/12

Answer:

r=30

Step-by-step explanation:

r/30=-2+3

r/30=1

r=1×30

r=30

Answer:

what value??????

Answer:

2

Step-by-step explanation:

The degree of a polynomial is its highest exponent value: in this case, thats just two!

Answer:

degree 2

Step-by-step explanation:

The degree of a polynomial is determined by the largest value of the exponent attached to the variable.

f(x) = 2x² - 5x + 6 ← has the term 2x² with exponent 2 ( largest ), then

f(x) is a polynomial of degree 2

Answer:

Mike fertilize his lawn with one bag of fertilizer = 19.33 times

Step-by-step explanation:

Given - One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only.

To find - About how many complete times can Mike fertilize his lawn with one bag of fertilizer?

Solution -

Given that,

1 bag of fertilizer can cover approximately 6,000 square feet.

Now,

Mike's Lawn = 300 square feet

He applied fertilizer to 2/3 of his lawn only.

i.e

He applied fertilizer to (2/3)×300 = 200 square feet of lawn

Now,

Total fertilizer left to cover = 6,000 - 200 = 5800 square feet

Now,

Let x be the times for which he fertilize his lawn fully

SO,

300x = 5,800

⇒3x = 58

⇒x = 19.33

∴ we get

Mike fertilize his lawn with one bag of fertilizer = 19.33 times

Answer:

40 because 40 percent of 100 is 40. You can just multiply the number by the percentage $100x40%

Answer:

16.9

Step-by-step explanation:

14+10+17+24+12+19+15+27+14+17=169

169/10=16.9

Answer:

B) 6(3x + 5y)

Step-by-step explanation:

6 times 3 is 18 and 6 times 5 is 30

Answer:

Part A: ≈112.06

Part B: B

Step-by-step explanation:

Find the surface area and volume for the separate shapes, then add them up together

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Have a good day :)

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ([tex]V[/tex]), in cubic feet, figure can be determined by this expression:

[tex]V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l[/tex] (1)

Where:

[tex]r[/tex] - Radius of the circle of the right cone, in feet.

[tex]h[/tex] - Height of the cone, in feet.

[tex]w[/tex] - Width of the cuboid, in feet.

[tex]H[/tex] - Height of the cuboid, in feet.

[tex]l[/tex] - Length of the cuboid, in feet.

If we know that [tex]r = 10\,ft[/tex], [tex]h = 10\,ft[/tex], [tex]w = 20\,ft[/tex], [tex]H = 7\,ft[/tex] and [tex]l = 18\,ft[/tex], then the volume of the composite figure is:

[tex]V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)[/tex]

[tex]V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}[/tex]

[tex]V \approx 3567.198\,ft^{3}[/tex]

The volume of the composite figure is approximately 3567.198 cubic feet.

Answer:

Step-by-step explanation:

loss amount=Rs 50000-Rs 45000

=Rs 5000

loss%=loss amount/original amount100%

=5000/50000*100

=500000/50000

=10%

Answer:

D.) 0.90

Step-by-step explanation:

Doing the unit test review on EDG right now! :D

Wish you all luck~

Have a good day! :3

(Evidence: screenshot below!)

The value for Y to the nearest hundredth is 0.90; option D.

The value for Y is obtained from the data in the frequency table.

By solving for Y from the frequency table:

Y + Z = 0

Y + Z = 1.0

Either Y is 0 or Y is 1.

Therefore, Y is approximately 0.90 to the nearest hundredth.

Learn more about frequency table at: https://brainly.com/question/16148316

#SPJ9

Answer:

5x² + 9x + 1

Step-by-step explanation:

Given:

A = 3x² + 5x - 6

B = 2x² + 4x + 7

A + B:

3x² + 5x - 6 + 2x² + 4x + 7

(3x² + 2x²) + (5x + 4x) - 6 + 7

5x² + 9x + 1

Answer:

surface area of the cuboid

(2×2×5)+(2×12×5)+(2×12×2)

20+120+48

188 cm²

Answer:

a) (-1,4.5)

b)10.63 units

c)7/8

Step-by-step explanation:

a) To find this, we use the midpoint formula

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,8)

(x2,y2) = (-5,1)

(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)

b) To calculate the distance D between two points, we use the formula;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-3)^2 + (1-8)^2

D = √(-8)^2 + (-7)^2

D = √64 + 49

D = √113

D = 10.63 units

C) We use the slope formula here

m = (y2-y1)/(x2-x1)

m = (1-8)/(-5-3) = -7/-8 = 7/8

Answer:

36$

Step-by-step explanation:

Answer:

where is the second one?

Step-by-step explanation:

Answer:

Step-by-step explanation:

top left r= 0.9 ; top right r= 0.4

bottom left r=0; bottom right r= -0.4

if they are not around a line looking like r=0

if they resemble a line well is close to r=1

if line goes up from left to right is r positive

if line goes down from left to right is r negative