Jerry runs up to a tank that holds up to 15 gallons of melted cheese When it is active it drains cheese onto crackers at a constant rate. When jerry first sees the tank,It contains 8 gallons of cheese. 5 minutes later it contains 5 gallons of cheese. At what rate in gallons per minute is the tank changing?

Answer:

The inequality for x is x<6

Step-by-step explanation:

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Answer:

Each angle measures 44°.

Step-by-step explanation:

Answer:

44°

Step-by-step explanation:

180-92=88

The equation to solve the height of the trapezoid is 45h = 1,575

Given data ,

Let the area of the trapezoid be A

Now , the value of A = 1,575 cm²

And , the Top(base2) = 63cm and  Bottom(base1) = 27 cm

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

On simplifying , we get

1,575 = (63 + 27) / 2 x h

1575 = 45h

Hence , the equation is 1575 = 45h

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The complete question is attached below :

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

A 850.5h = 1,575

B 1,701h = 1,575

C 90h = 1,575

D 45h = 1,575

Top(base2) = 63 cm

Bottom(base1) = 27 cm

The equation of the normal line to the curve \(y =\sqrt{x}\) that is parallel to the line 6x + y = 1 is \(y=-6x+1.\)

The given equation of curve \(y =\sqrt{x}\)  which is parallel to line 6x+y=1.

Now 6x+y=1.

y=-6x+1

Differentiate with respect to 'x'.

\(\frac{dy}{dx} = -6\)..(1)

Slope of normal = -6

Curve equation \(y =\sqrt{x}\)

\(dy/dx=\frac{1}{2\sqrt{x}}\) ...(2)

Slope = \(\frac{1}{2\sqrt{x}}\)

Now the product of slopes of perpendicular lines is -1.

\(m_1m_2=-1\)

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

\(\frac{-3}{\sqrt{x}}=-1\)

x=9

When x=9 , y value is -53.

We already know the slope of the normal line is -6.

Let's use the point (9,-53) to write the equation of the normal line in point-slope form:

\(y-y_1=m(x-x_1)\)

\(y+53=-6(x-9)\)

\(y+53=-6x+54\)

\(y=-6x+1\)

Hence, y=-6x+1 is the equation of the normal line to the curve y =√x that is parallel to the line 6x + y = 1.

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Find an equation of the normal line to the curve y =√x that is parallel to the line 6x + y = 1.

The equation of the linear function is A(t) = -975t + 15000

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table of values, we have:

A(t)         t

11,100   4

7200   8

3300   12

From the above table of values, we can see that

As t increase by 4, the value of A(t) decreases by 3900

This means that the table of values is a linear relation, and the slope is

slope = -3900/4

slope = -975

A linear equation is represented as

y = mx + c

Where

slope = m

So, we have

A(t) = -975t + c

Using the points on the table, we have

11000 = -975 * 4 + c

Evaluate

c = 15000

So, we have

A(t) = -975t + 15000

Hence, the equation is A(t) = -975t + 15000

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Answer:

The cost of 7 pens is Rs. 60,  so 2.45

Step-by-step explanation:

find the cost of 7 pens. so 3 divided by 1.05 = 0.35 then multiply by 7 =  2.45 hope this helps can i get brainlyesti tried my best;]

Step-by-step explanation:

To get  TO   H   FROM   G    is 4 LEFT and DOWN 1  .

Population: All students in the high school.

Parameter of interest: Proportion of students whose names are known by the student body president.

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Answer:

-3/5, -1/10, -0.8, 0.3, 1/2, 5/8

Step-by-step explanation:

negatives are always less than positive numbers. As you can see the first numbers that are negative count down and then once it turns positive the numbers count up. For example, it goes -3,-1,-0 then 0,1,5

Given equation

use the quadratic equation,

consider the discrement,

Then,

Answer : The solutions are, option A and D

Answer: 81 is the answer but it says what scores so you might be able to put 81 and above for example 82 83 84 and so on.

Step-by-step explanation:

If you add 91 93 and 95 you should get 279 then subtract 279 from 360 which will get u the answer which is 81 simple right now please giva a thanks like and rating if you found this helpful.

It would take the automated car wash 20 hours to wash 120 cars.

What is rate ?

In general, a rate is a measure of how much of something happens within a certain period of time. It can be thought of as a ratio that compares two different units of measurement.

In the context of the problem, the rate at which the automated car wash can wash cars is the number of cars that it can wash per unit of time.

The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

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The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

The approximation for y(1.1) correct to 4 decimal places is approximately 0.5488.

To solve the initial value problem y' = -y, y(1) = 1 using the Picard method, we can start by setting up an iterative process to approximate the solution.

Let's denote the approximations as y0, y1, y2, ..., yn. The general formula for the Picard method is given by:

yn+1 = y0 + ∫(from x0 to xn) f(t, yn) dt,

where f(x, y) is the right-hand side of the differential equation.

In this case, f(x, y) = -y. So the iterative formula becomes:

yn+1 = y0 + ∫(from x0 to xn) (-yn) dt.

We can choose an initial approximation y0 = 1. Now, we need to compute the integral from x0 to xn.

Let's use the Picard method to approximate y(1.1):

n = 10 (number of iterations)

y0 = 1

h = (1.1 - 1)/n = 0.1/10 = 0.01

For i = 0 to n-1:

xi = 1 + i * h

yi+1 = y0 + ∫(from x0 to xi) (-yi) dt

Finally, we compute y(1.1) using the last approximation yn.

Let's calculate the solution using the given steps and values:

y0 = 1

For i = 0 to 9:

xi = 1 + i * 0.01

yi+1 = y0 + ∫(from 1 to xi) (-yi) dt

After performing the calculations, the approximation for y(1.1) correct to 4 decimal places is approximately 0.5488.

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The coordinate of the y-intercept of the given quadratic graph is: (0, -3)

The general form of the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The general form of quadratic equations is expressed as:

y = ax² + bx + c

Now, from the term y-intercept, we know that it is the point where the graph crosses the y-axis and as such, we have the coordinate from the graph as:

(0, -3)

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In a right triangle, the Pythagorean theorem states that the sum of the legs squared is equal to the hypotenuse squared.

Or that a² + b² = c²

Where and and b are the legs and c is the hypotenuse

(Note that the hypotenuse is the longest side and the legs are the two shorter sides)

Here, we are given the length of the hypotenuse as well as the length of one of the legs. Given this we are asked to find the other leg UT.

We can find the length of UT by plugging in the given values into the Pythagorean Theorem and then solving for the missing variable.

Because the given hypotenuse is 17 we can say that c = 17 and since a leg is given we can say that a = 8

Plugging this into the formula we acquire (b is UT or the other leg)

8² + b² = 17²

==> evaluate the exponents

64 + b² = 289

==> subtract 65 from both sides

b² = 225

==> take the square root of both sides

b = 15

The length of UT is 15

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I =(6)(2)-10

I=12+-10

I=(12+-10)

I=2

2 is the final answer

Sales for the dress department last year were $82,000. The manager for the department plans an increase of 12.5% this year. So, the projected sales volume for this year is $92,250.

To calculate this year's projected sales volume we will add 12.5% of the sales of the last year to the sales of last year. This can be calculated by using the formula:

S = P + (P × r / 100)

Where S is new sales, P is old sales, and r is a rate of increase.

In this problem, the value of P is $82,000 and the rate of increase is 12.5%. Now, let's plug these values into the formula and solve for S:

S = P + (P × r / 100)

S = $82,000 + ($82,000 × 12.5 / 100)

S = $82,000 + $10,250S = $92,250

Hence, the projected sales volume for this year is $92,250.

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Answer:

Domain:  { 2 ,  3 ,  − 1 ,  6 }

Range: { 9 ,  4 ,  2 ,  1 }

Step-by-step explanation:

Answer:

\((-infinity,3)\), D

Step-by-step explanation:

3 if x is greater than or equal to 1 is nothing. That leaves us with \(h(x)=2x+1\) if x<1. If you substitute in 1 for x, you get 3, but of course that isn't possible, so the range is \((-infinity,3)\), which is D.

36.5 + 25 + 36.5 + 46 + 22 = 166

they can use either the first or second one but the second one is the better deal

Answer:

12

Step-by-step explanation:

469.75-10.75 =

459 ÷ 38.25 =

12

The equation that could be used to represent the context the number of people who can go to the amusement park is; 10.75 + 38.25x = 469.75

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the total amount to spent on amusement park = $469.75

And the parking fees = $10.75

The ticket cost per person = $38.25

Assume that the number of person = x

So the ticket cost for x person 38.25x

Thus the equation becomes;

10.75 + 38.25x = 469.75

Simplifying further we get;

38.25x = 469.75 - 10.75

38.25x = 459

Now dividing both sides by 38.25 we get

x = 459 /38.25

x = 12

Therefore, the equation that could be used to represent the context the number of people who can go to the amusement park is; 10.75 + 38.25x = 469.75

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Answer:

I'm unable to understand your question please write it properly

Answer:

Right triangles are triangles in which one of the interior angles is 90 degrees, a right angle. Since the three interior angles of a triangle add up to 180 degrees, in a right triangle, since one angle is always 90 degrees, the other two must always add up to 90 degrees (they are complementary).

The side opposite the right angle is called the hypotenuse. The sides adjacent to the right angle are the legs. When using the Pythagorean Theorem, the hypotenuse or its length is often labeled with a lower case c. The legs (or their lengths) are usually labeled a and b.

Step-by-step explanation:

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The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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a. the sampling distribution is  \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)

b. The probability that the sample proportion is within 0.03 of the population proportion is 0.4101.

c. The probability that the sample proportion is within 0.03 of the population proportion for a sample of 200 households is 0.7738.

a. The sampling distribution of the sample proportion, \(\bar p\), can be approximated by a normal distribution with mean equal to the population proportion, p, and standard deviation equal to the square root of \([(p \times (1-p)) / n]\),

where n is the sample size.

Given that p = 0.17 and assuming a large enough sample size, we can use the formula to calculate the standard deviation of the sampling distribution:

Standard deviation = \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)

b. To find the probability that the sample proportion will be within a certain range of the population proportion, we need to calculate the z-score for the lower and upper bounds of that range and then find the area under the normal curve between those z-scores.

Let's say we want to find the probability that the sample proportion is within 0.03 of the population proportion. This means we want to find

P(\(\bar p\)- p ≤ 0.03) = P((\(\bar p\)-- p) / \(\sqrt{[(p \times (1-p)) / n]}\) ≤ 0.03 / \(\sqrt{[(p \times (1-p)) / n]\)

We can use the standard normal distribution and z-scores to find this probability:

\(z_1\) = (0.03 / \(\sqrt{(0.17 \times (1-0.17)/n}\))

\(z_2\) = (-0.03 / \(\sqrt{(0.17 \times (1-0.17))/n}\))

We can find the probability that the z-score is between \(z_1\) and \(z_2\):

P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.541 ≤ Z ≤ 0.541) = 0.4101

c. To answer part (c), we need to specify the sample size. Let's say we are taking a sample of 200 households.

Using the formula for standard deviation of the sampling distribution from part (a), we get:

Standard deviation = \(\sqrt{(0.17 \times(1-0.17)) / 200}\) = 0.034

Now we can repeat the same steps as in part (b) with this standard deviation:

\(z_1\) = (0.03 / 0.034)

\(z_2\) = (-0.03 / 0.034)

P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.882 ≤ Z ≤ 0.882) = 0.7738

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Answer:

de=104

fe=76

def=180

cfd=284

dfe=256

Answer:

Step-by-step explanation:

If Tim is 3 years older and five years ago, the sum of their ages is nineteen you need to find two addends that are 3 greater than each other.

So, 11+8 = 19

Five years ago Tim was 11 and his sister was 8.

add 5 to 11 = 16

Tim is 16 now

I don't know the equation though sorry

Hope this helps you :)