A jug has a maximum capacity of 14 liters. is filled to 60% of its capacity, and then poured out at a rate of 60 mL/s. Which of the following expressions models the volume remaining in the jug, in liters, after x seconds?

Answer:

702 pounds

Step-by-step explanation:

9 * 78 = 702

Answer:

If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.

Step-by-step explanation:

9 x 72 = 702 pounds

Your welcome! :)

Answer:

● equivalent

Step-by-step explanation:

○ equivalent

Answer:

the base is the answer 4

\( {42}^{2} \)

Step-by-step explanation:

42 is the base

Answer:

0.35m + 25 = 42.50

Step-by-step explanation:

If you were to rent a truck for one day you will first have to pay a $25 fee for one day. This is represented by + 25 in the equation above.

Then for every mile you go you must pay $0.35, represented as 0.35m.

As an example to make it easier if you had to pay 1 dollar per mile and you went 10 miles it would cost $10. This can be proved by 1m (m being the variable for number of miles) Plug in 10 for m and you can asee 1(10)=10, because obviously 1 times 10 is 10.

Same premise with $0.35

Then both of those fees added up are equal to a total of $42.50.

To prove it can find the exact number of miles that need to be driven to cost a total of $42.50 just follow steps bellow.

1. 0.35m + 25 - 25 = 42.50 - 25

Subtracting the inital fee since it is part of the total, and if you add/subtract/multiply/divide on one side you must do to the other.

2. 0.35m/0.35 = 17.50/0.35

You divide because m is being multiplied with 0.35 and to undo the multiplication you divide. Doing the same to both sides.

3. m = 50

Plug in 50 to "m" in the equation above and if both sides are equal the answer is valid.

Answer:

last one ?

Step-by-step explanation:

you can prove it by base angle threom  because this a isscloes triangle

Answer:

8.75                                                                                                                 Step-by-step explanation:

Multiplying fractions are actually pretty easy :)

I see you have a mixed number, so convert that to an improper fraction:
1*4=4, 4+3=7. So the improper fraction would be 7/4.

To do 5*7/4, display 5 as a fraction by putting it over 1.

5/1 * 7/4

Multiply numbers and denominators across

5*7=35

1*4=4

35/4 would be your answer, or in whole number form it would be 8 3/4:)

Answer:

Step-by-step explanation:

Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.

ANSWER and EXPLANATION

We want to draw a quadilateral that has 2 pairs of congruent parallel sides and 4 right angles.

There are 2 quadilaterals that fit this description:

A square and a rectangle

The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

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fifty five thousand 55,000

The value of intergal  \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) is

\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)

In mathematics, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the two main tools used in calculus and are used to calculate areas, volumes, and their generalizations.

The integral \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\)  can be evaluated by first completing the square and then using the substitution method.

Completing the square gives us \(( 3 t^{4} -1 = (3t^{2} -1)^{2} \)\).

We can now make the substitution \(( u = 3 t^{2} -1 \)\)).

Differentiating, we get \(( du = 6t dt \)\)).

Therefore, the integral can be written as\(y=\int_{-2}^{x} \sqrt{(3t^{2}-1)^{2}} \frac{du}{6t} \)\).

Solving the integral, we get:

\(y = \frac{1}{6} \sqrt{(3t^{2}-1)^{2}} +C \)\)

Substituting back into the equation, we get the answer as:

\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)

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The page numbers of the book are 147 and 148.

Consecutive numbers are numbers that follow each other in order. They have a difference of 1 between every two numbers.

In a set of consecutive numbers,the mean and the median are Equal. If n is a number, then n, n+1, and n+2 would be consecutive numbers.

Given,

Left and right page numbers of a book are consecutive integers.

Sum of both integers = 295

Let x is left integer then right integer is x + 1

Equation becomes

x + x + 1 = 295

2x + 1 = 295

2x = 295 - 1

x = 294/2

x = 147

Left integer = 147,

Right integer = 147 + 1 = 148

Hence, 147 and 148 are the page numbers of the book.

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Answer:

C)

when you distrbe you get x^2 y

Answer:

x = ±2√2, ±i

Step-by-step explanation:

Step 1: Factor

(x² - 8)(x² + 1)

Step 2: Find roots

x² - 8 = 0

x² = 8

x = ±2√2

x² + 1 = 0

x² = -1

x = ±i

Answer:

The answer is B

Step-by-step explanation:

First option : Check

12^10 × 12^(-2) = 12^(10 - 2) = 12^8

________________________________

Second option : ---

3^2 × 4^6 = 3^2 × 4^2 × 4^4 = 12^2 × 4^4

________________________________

Third option : ---

(12^8)^0 = 12^(8 × 0) = 12^0 = 1

________________________________

4th option : Check

12^10 / 12^2 = 12^10 × 12^(-2) = 12^(10 - 2)

= 12^8

________________________________

5th option : Check

2^8 × 6^8 = ( 2 × 6 )^8 = 12^8

Answer:

2. C. 50.3 ft²

3. A. 75.4 ft²

Step-by-step explanation:

The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2πrh

Where:

The total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:

Total Surface Area = 2πrh + 2πr^2

Where:

2.

r=2 ft

h=4 ft

Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²

3.

Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2

=50.3+25.1=75.4 ft²

The row of tiles would be 24 1/2 inches long.

B:The  row of 10 tiles would be 35 inches long.

A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said  row.

So, all tile measures 3 1/2 inches on each side, Hence  the length of one tile is 3 1/2 inches.

Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:

Length of the row = 3 1/2 inches/tile x 7 tiles

                              = 24 1/2 inches

So, the row of tiles is 24 1/2 inches long.

B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.

Note that:

Length of one tile = 3 1/2 inches

Number of tiles in the row = 10

Hence:

Length of the row = 3 1/2 inches/tile x 10 tiles

                               = 35 inches

So, the row of 10 tiles is 35 inches long.

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The amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.

The initial amout that Jo paid for the phone is calculated as follows;

amount per month = ($49) / (1 + ¹/₃)

amount per month = ($49) / (1.333)

amount per month = $36.76

For 1 year (12 months), = $36.76 x 12 = $441.12

$49 x 12 = $588

= $588 -  $441.12

= $146.88

Thus, the amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.

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Answer:

I think B

Step-by-step explanation:

121.346° is more close to 121.3°, than 121.4°

if i'm wrong, the i'm sorry

Answer:  The answer is 50.24 SQAURE INCHES.

Step-by-step explanation: So this circle is even. 8 up and down. * to the right and left. Now the area needs to be found. If the diameter is 8 inches, your answer should be 50.24 SQUARE INCHES.

Answer:

Thanks

Step-by-step explanation:

Thanks

We have

an entry commercial break 3.6 minutes

each commercial takes 0.6 minutes

Then we need to divide 3.6 between 0.6 in order to know how many commercials

6 commercials in 3.6 minutes

George should be 150 mm taller than Martha.

Since George's height is 1.75 meters and Martha's height is 160 centimeters.

So here we convert the meters to mm

So,

\(= 1.75\times 100\\\\)

= 1750 mm

Now 160 cm to mm

So,

\(= 160\times 10\)

= 1,600 mm

So, the difference should be

= 1,750 - 1,600

= 150 mm

Therefore, George should be 150 mm taller than Martha.

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The question is vague, but I'll try and help.

Answer:

She saves $100.59 a year.

Step-by-step explanation:

Saving 7% of $1,437.00 each year.

7% of $1,437.00 (0.07 x $1,437.00) = $100.59

If it asks how much she saves over a certain number of years, just multiply 100.59 times how many years it asks for. Hope this helps.

The required, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they invested.

Here,
If Maria spends $1,437.00 on her auto insurance annually and she takes the defensive driving course, she will get a 7% discount on her liability insurance, PIP, comprehensive insurance, and collision insurance for three years.

To calculate the amount of the discount, we first need to find 7% of $1,437.00:

Discount = 0.07 × $1,437.00 = $100.59

So, the amount of the discount that Maria will receive annually is $100.59.

To find the total savings over three years, we multiply the annual discount by three:

Total savings = $100.59 × 3 = $301.77

Therefore, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

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Answer: 62°

Step-by-step explanation:

apply concept: the interior angle sum of triangle is = 180°

          a+b+c=180

a+68.5+49.5=180

            a+118=180

                  a=62

Answer:

Step-by-step explanation:

Since it's a triangle it's interior angles sum up to 180° .

In order to find x add up all it's known interior angles and subtract it from 180° to find x.

That's

x + 68.5 + 49.5 = 180

x + 118 = 180

x = 180 - 118

We have the final answer as

Hope this helps you

Answer:

h(2)= - 12

Step-by-step explanation:

What that means is: calculate the y-value when t=2. Where you see t, substitute 2 in the equation. y= - (2)^2 - 2(2) - 4

The answer is - 12

Answer:

-12

Step-by-step explanation:

qu.   h(t) = -t^2 - 2t - 4

where h = 2

= h(t) = (-t^2)- (2^t)- (4)

= h(2) = (-2^2) - (2^2) - (4)

         = (-4) - (4) - (4)

          = -12

The way the brackets are done will help you when its mixed numbers and positives as the first polynomial if negative must be kept in bracket.

Answer:

the answer is 108 bc of the .5

Answer:

36

Step-by-step explanation:

so you would do 3/8 which is.375 then you would divide 13.50 by.375 to get your final answer

Answer:

P(M > 260.2-cm) = 0.702

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\(\mu = 260.5, \sigma = 1.6, n = 8, s = \frac{1.6}{\sqrt{8}} = 0.5657\)

P(M > 260.2-cm)

This is 1 subtracted by the pvalue of Z when X = 260.2. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{260.2 - 260.5}{0.5657}\)

\(Z = -0.53\)

\(Z = -0.53\) has a pvalue of 0.298.

1 - 0.298 = 0.702

So

P(M > 260.2-cm) = 0.702