Help me please ..............................................................

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

  -8/3

Step-by-step explanation:

You want the slope of the line shown in the graph.

Whether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.

It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -4)/(4 -1) = -8/3

The slope of the line is -8/3.

The slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.

  rise/run = -8/3 = slope of the line

Answer:

the answer is 3

Step-by-step explanation:

21 x 3 =7

hope it helps

Answer:

21/7

Step-by-step explanation:

Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3

The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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Harold has a total number of 3 ties of each brown, red and blue color.

This question can be solved by using simple arithmetic and assumptions. The assumptions will be made in accordance with the data given in the question. In this question we need to find the number of ties Harold has in total. According to the question, Harold has all red ties except for two. So, we can say that 1 red tie = 2 different ties (brown and blue). Now, it is also given that Harold has all blue ties except for two. So, we can say that 1 blue = 2 different ties (brown and red). And at last, it is given that Harold has all brown ties except for two. So, we can say that 1 brown tie = 2 different ties (blue and red).

Now from the above-made calculations, we can conclude that Harold has 3 ties in total, and each of Red, Blue, and Brown colors.

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Answer:

a. -1

e. 5/4

Step-by-step explanation:

Hi there!

The quadratic formula: \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\) where the given quadratic is in the form \(ax^2+bx+c=0\)

From the given equation \(4x^2-x-5 = 0\), we can identify the values of a, b, and c:

a=4

b=-1

c=-5

Plug these values into the quadratic formula:

\(x=\frac{-(-1)\pm\sqrt{(-1)^2-4(4)(-5)}}{2(4)}\\x=\frac{1\pm\sqrt{81}}{8}\)

\(x=\frac{1\pm9}{8}\)

\(x=\frac{1+9}{8}= \frac{5}{4} \\x=\frac{1-9}{8} = -1\)

Therefore, the solutions to the quadratic are 5/4 or 1.

I hope this helps!

Al needs to read 752 more pages to reach his goal of 2,000 pages.

The act of deleting items from a collection is represented by subtraction. Subtraction is denoted by the minus sign.

To find out how many more pages Al needs to read to reach his goal of 2,000 pages, we can subtract the number of pages he has already read from his goal:

Number of pages Al needs to read = Goal - Pages already read

Number of pages Al needs to read = 2,000 - 1,248

Number of pages Al needs to read = 752

Therefore, Al needs to read 752 more pages to reach his goal of 2,000 pages.

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The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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To find the surface area of a triangular prism, you need to add up the areas of all the surfaces that make up the prism.

A triangular prism has three rectangular faces and two triangular faces.

To calculate the surface area, you need to find the area of each face and add them up.

Here's how you can do it:

Find the area of the two triangular faces:

The area of a triangle is given by the formula A = (1/2)bh, where b is the base of the triangle and h is its height.

For a triangular prism, there are two identical triangles on either end. Let's call the base of the triangle "b" and the height "h".

The area of one triangle is (1/2)bh. To get the area of both triangles, you need to multiply this by 2.

So the area of the two triangular faces is:

2*(1/2)bh = bh

Find the area of the three rectangular faces:

The area of a rectangle is given by the formula A = lw, where l is the length of the rectangle and w is its width.

For a triangular prism, there are three rectangles. Let's call the length of the rectangle "l", the width "w", and the height of the prism "h".

The area of one rectangle is lw. To get the area of all three rectangles, you need to multiply this by 3.

So the area of the three rectangular faces is:

3lw

Add up the areas of all five faces:

The total surface area of a triangular prism is the sum of the areas of all five faces.

So, the surface area of a triangular prism is:

SA = bh + 3lw

P.S: Your question is incomplete, so a general overview on how to find the surface area of a triangular prism is given.

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Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

Mark this as brainliest please.

Answer:

3.5

Step-by-step explanation:

If you multiply 3.5 for example by 2 (which is the number of gallons) you get 7 which is the cost (also a proportional relationship).

The numbers are 1 and 8.

We have,

Let's assume the lesser number as "x" and the greater number as "8x".

According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:

8x - x = 5x + 2

Simplifying the expression:

7x = 5x + 2

Subtracting 5x from both sides:

2x = 2

Dividing both sides by 2:

x = 1

So, the lesser number is 1 and the greater number is 8 times that, which is 8.

Therefore,

The numbers are 1 and 8.

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Answer:

y = 2sin(x/2 - pi/4) + 1

Step-by-step explanation:

The normal sine has a range of [-1, 1]. This one has a range of [-1, 3], so the amplitude is 2 times higher (4 vs 2).

After that, 2sin(x) has a range of [-2, 2], but this one has a range of [-1, 3], so we need to shift it upwards by 1.

We now know that the answer is 2sin(____)+1.

A normal sine has it's middle point while rising at x = 0, but this one has it at x = pi/2 - so we need to shift a sine to the right by pi/2.

Lastly, a sine has a cycle of length 2pi, but this one has a cycle of length 4pi. We can achieve that by dividing the argument 2.

We now know that the answer is 2sin(x/2 - pi/4) + 1. We can plot it to verify.

Answer:

(a) At 8,000 ft :

The air  temperature is 30.52  °F

The air pressure is 1574 lbs/ft²

The air density is 1.869 x 10⁻³ slug/ft³

(b)  At 18,000 ft :

The air temperature is -5.08  °F

The air pressure is 1059.2 lbs/ft²

The air density is 1.356 x 10⁻³ slug/ft³

Step-by-step explanation:

Given;

pressure at sea level, P₀ = 14.8 PSI

temperature, T' = 80 °F

At 8,000 ft (m) altitude

for altitude h, less than 36,152 ft, the following model is used to modify temperature and pressure;

T = 59 - 0.00356h

T = 59 - 0.00356(8,000)

T = 30.52  °F

The pressure is calculated as;

\(P = 2116[\frac{T+459.7}{518.6} ]^{5.256}\\\\P = 2116[\frac{30.52+459.7}{518.6} ]^{5.256}\\\\P = 1574.2 \ lbs/ft^2\)

The density is given by;

\(\rho = \frac{P}{1718*(T+459.7)}\\\\\rho = \frac{1574.2}{1718*(30.52+459.7)}\\\\\rho = 1.869*10^{-3} \ slug/ft^3\)

For 18,000 ft

T = 59 - 0.00356h

T = 59 - 0.00356(18,000)

T = -5.08 °F

The pressure is calculated as;

\(P = 2116[\frac{T+459.7}{518.6} ]^{5.256}\\\\P = 2116[\frac{-5.08+459.7}{518.6} ]^{5.256}\\\\P = 1059.2 \ lbs/ft^2\)

The density is given by;

\(\rho = \frac{P}{1718(T+459.7)} \\\\\rho = \frac{1059.2}{1718(-5.08+459.7)}\\\\ \rho = 1.356*10^{-3} \ slug/ft^3\)

The multiplicative rate of change of the function is 2/3

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

1,6 2,4 3,8/3 and 4,16/9

These can be represented as

(1,6) (2,4) (3,8/3) and (4,16/9)

The multiplicative rate of change is then calculated as

Rate = f(2)/f(1)

Substitute the known values in the above equation, so, we have the following representation

Rate = 4/6

Evaluate

Rate =2/3

Hence, the rate is 2/3

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Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression that is equivalent to the given value would be = 18-i . That is option C.

An equivalent expression is defined as the type of expression that is similar to a given value when simplified.

The given expression = ( 3 + 4i) ( 2 - 3i)

Expand the given expression by removing the brackets as follows:

= =2(3+4i)−3i(3+4i)

=(6+8i)−(9i−12)

= (6+12)+i(8−9)

=18−i.

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Answer: C

Step-by-step explanation:

The X value repeats itself

Step-by-step explanation: In order for a function not to be a relation,

each x-coordinate must correspond to more than one y-coordinate.

Notice that in third relation, the 1 pairs with a 3

in one case  and it pairs with a 7 in the other case.

Since each x-coordinate pairs with more than one y-coordinate,

this relation is not a function but the other ones are functions.

Answer:

Your answer is %40

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

\(4x+3y=1\) and \(-3x - 6y = 3\), we can look at which variable will be easiest to eliminate.

\(y\) looks like it might be easy to get rid of, we just have to multiply \(4x+3y=1\)  by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation \(4x+3y=1\)  by 2.

\(2(4x + 3y = 1)\\8x + 6y = 2\)

Now we can add these equations

\(8x + 6y = 2\\-3x-6y=3\\\)

------------------------

\(5x = 5\)

Dividing both sides by 5, we get \(x = 1\).

Now we can substitute x into an equation to find y.

\(4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1\)

Hope this helped!

Answer:

Step-by-step explanation:-1/3(6x+18)+3x+5= -2x - 6 + 3x + 5 = x - 1. QED

To round a number to the nearest position, we must consider the number after that position. If it is greater than 5, we must round up and vice versa

   1. 29.526 --> 29.5

   2. 71.284 --> 71.28

   3. 648.722 --> 648

Hope that helps!

Answer:

tenth: 29.526 = 29.5

hundredth: 71.284 = 71.28

whole number: 648.722 = 649

Step-by-step explanation:

When you are rounding to the given place they give you, you always look at the next digit on the right side of it and see if it's 5 or greater (5, 6, 7, 8, 9, 10) then you would round the decimal place up 1 and leave the rest of the digits after it 0, though if it was below 5(4, 3, 2, 1, 0) then you would round the number as it is and leave the rest of the digits after it 0 as well.

The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

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Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.