a recipe uses x cups of flour and y cups of sugar. a baker makes n batches of the recipe. to help determine what ingredients he needs, the baker writes the expression nx + ny. what does ny represent?

Therefore, the total volume of the two prisms is 10,404 cubic inches.

Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically measured in cubic units, such as cubic meters (m³), cubic feet (ft³), or cubic centimeters (cm³). The volume of an object is calculated by multiplying its length, width, and height or by using an appropriate formula for the shape of the object.

Here,

The two prisms have the same dimensions of 17 inches in height, 18 inches in base, and 17 inches in length and width.

To find the volume of a prism, we multiply the area of the base by the height. The base of the prism is a rectangle with length 18 inches and width 17 inches, so the area of the base is:

Area of base = length × width

= 18 in × 17 in

= 306 in²

Therefore, the volume of one prism is:

Volume = area of base × height

= 306 in² × 17 in

= 5202 in³

The volume of the two prisms combined is simply twice the volume of one prism:

Total volume = 2 × 5202 in³

= 10404 in³

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Answer:

$42.00

Step-by-step explanation:

We can represent the given information as a ratio:

% of original price : price

                          5% : $2.00

Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.

5%      :  $2.00

↓ × 20   ↓ × 20

100%  :  $40.00

Now that we know the original price, we can add $2.00 to get the new price.

$40.00 + $2.00 = $42.00

Answer:

34 m^2

Step-by-step explanation:

it is the area of the shaded regoon

Answer:

The correct answer is B, also may be Brain??

Step-by-step explanation:

The perimeter of a rectangle can be calculated using the formula P = 2l + 2w, where l is the length and w is the width. If the length of the rectangle is 25 cm and we want the perimeter to be greater than 90 cm, we can set up an inequality to solve for the width: 2l + 2w > 90.

Substituting the value for the length gives 2 * 25 + 2w > 90, which simplifies to 50 + 2w > 90. Subtracting 50 from both sides gives 2w > 40, and dividing by 2 gives w > 20.

So the width of the rectangle must be greater than 20 cm to make the perimeter greater than 90 cm. The correct answer is B: width > 20 cm.

Answer:

i'm guessing this but not 100% sure

Step-by-step explanation:

Let w = the width

P = 2l + 2w

2w + 2(25) > 90

2w + 50 > 90

2w > 40

w > 20 cm

Answer:

sorry i dont know next time ill surely help when i know.

Using the uniform distribution, there is a 0.6667 = 66.67% probability that it takes a randomly selected customer more than 30 seconds to connect to the internet.

It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

For this problem, the connection time has parameters a = 20 sec and b = 50 sec, as stated in the problem.

The probability that it takes a randomly selected customer more than 30 seconds to connect to is P(X > 30).

Hence, applying the formula, with the bounds, we have that:

P(X > 30) = (50 - 30)/(50 - 20) = 2/3 = 0.6667.

The measure above is the desired probability.

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Answer:

The number of points needed to redeem the voucher is 92.5

Step-by-step explanation:

Let x be the total number of points needed to redeem the voucher.

Amelia has \(\frac{3}{5}\) × x points,before she earns the another 50 points,

After she earns another 50 points,

Now

she has \(\frac{3}{5}\) × x + 50 points.

she still needs \(\frac{3}{10}\) × x  points to redeem the voucher.

Now

From above we get a equation,

\(\frac{3}{5}\) × x + 50 = \(\frac{9}{10}\) × x

Solving the equation we can get x,

\(\frac{3}{5}\) × x  = \(\frac{9}{10}\) × x - 50

if we multiply both sides by 5/3, we get,

x = (9/10 × x - 50) × 5/3

After expanding the right side,

x = (9/10 × x - 50) × 5/3

x = (9x/10 - 250/3)

Now,

Subtracting 9x/10 from both sides,

0 = 250/3 - 9x/10

If we add 9x/10 to both sides,

9x/10 = 250/3

Again,

If we multiply both sides by 10/9,

x = 250/3× 10/9

x = 250 × 10 / (3 × 9)

x = 250 × 10 / 27

x = 250 × 10 / 27

x = 250 × 10 / 27

x = 250 × 10 / 27

  = 250 × .37

x = 92.5

The number of points needed to redeem the voucher is 92.5

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Answer:

The quadratic equation is \(f(x) = 2x^2 + 6x + 4\)

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots \(x_{1}, x_{2}, x_{n}\) such that it can be written as: \(a(x - x_{1})*(x - x_{2})*...*(x-x_n)\), in which a is the leading coefficient.

Roots are -2 and -1 and the leading coefficient 2

This means that \(x_1 = -2, x_2 = -1, a = 2\)

So

\(f(x) = 2(x - (-2))(x - (-1)) = 2(x + 2)(x + 1) = 2(x^2 + 2x + x + 2) = 2(x^2 + 3x + 2) = 2x^2 + 6x + 4\)

The quadratic equation is \(f(x) = 2x^2 + 6x + 4\)

The correct graph is the one on the bottom right corner.

Good luck !! :)

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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The amount he would pay is $46.40.

Percentage can be described as the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentages is %.

The amount paid = list price of the first shirt + [list price of the second shirt x ( 1 - percentage discount)]

$29 + [$29 x (1 - 0.4)]

$29 + ($29 x 0.6) = $46.40

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Answer:

\(\sqrt{1}\), 1.23, 5/4, \(\sqrt{3}\), 1.9, 11/3

Step-by-step explanation:

5/4 = 1.25

11/3 = 3.67

\(\sqrt{3} =1.73\)

\(\sqrt{1} =1\)

1.23

1.9

Numbers from least to greatest:

\(\sqrt{1}\), 1.23, 5/4, \(\sqrt{3}\), 1.9, 11/3

Answer:

987

Step-by-step explanation:

Clue 4: There is no 2, 4, 5.

Clues 1 & 2: There is no 1.

7 must be on the right.

_ _ 7

Clue 5: 9 is in the first or second place

9 _ 7   or   _ 9 7

937 or 987 or 397  or 897

Try all 4 possibilities above through all 5 clues.

Only 987 works.

Answer: 987

Answer: Eric: The 10 is the initial amount, the 1/2 is the decay factor or the rate at which it decreases, and the exponent w is the number of weeks it decreases by factor 1/2, or the time. Andrea, 1 is the initial amount, 0.2 is the decay factor or rate of decrease, w is time passed or number of weeks it's decayed by the factor.

Step-by-step explanation: Answer is explanation

Answer:

Step-by-step explanation:

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

Answer:

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Step-by-step explanation:

Volume of a right circular cone:

The volume of a right circular cone, with radius r and height h, is given by the following formula:

\(V = \frac{1}{3} \pi r^2h\)

Implicit derivation:

To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So

\(\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)\)

Radius is 107 in. and the height is 151 in.

This means that \(r = 107, h = 151\)

The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.

This means that \(\frac{dr}{dt} = 1.1, \frac{dh}{dt} = -2.6\)

At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.

This is \(\frac{dV}{dt}\). So

\(\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)\)

\(\frac{dV}{dt} = \frac{1}{3}(2(107)(151)(1.1) + (107)^2(-2.6))\)

\(\frac{dV}{dt} = \frac{2(107)(151)(1.1) - (107)^2(2.6)}{3}\)

\(\frac{dV}{dt} = 1926\)

Positive, so increasing.

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

════════ ∘◦❁◦∘ ════════

════════════════════

y = -2x² - 8x + 3

════════════════════

#First, find the x coordinate first by using the formula of -b/2a

x = -b/2a = -(-8)/2(-2) = 8/-4 = -2

#After getting the x, find the y

y = -2(-2)² - 8(-2) + 3

y = -2×4 +16 + 3

y = -8 + 16 + 3

y = 11

So the vertex is

(-2,11)

════════════════════

Answer:

the vertex is (-2, 11)

Step-by-step explanation:

F(x) = -2X^2 - 8X + 3 can be rewritten as -2(x^2 + 4x) + 3.

We complete the square of x^2 + 4x, obtaining x^2 + 4x + 4 - 4 = (x + 2)^2 - 4

and then we substitute this last result into F(x) = -2(x^2 + 4x) + 3:

F(x) = -2[ (x + 2)^2 - 4 ] + 3, which simplifies to:

F(x) = -2(x + 2)^2 + 8 + 3, or F(x) = -2(x + 2)^2 + 11

Comparing this to the vertex equation (x + h)^2 + k, we see that h must be -2 and k must be 11.  

Thus, the vertex is (-2, 11).

Answer:

a) $2380
b) $2832.2

Step-by-step explanation:

Compound Interest Formula:

\(A=P(1+\frac{r}{n} )^n^t\)

Compounding interest is when it increases exponentially every year. When it increases 19% per year, you multiply by 19% the new amount instead being based off the original value. In this case, after a year, 119% of 2000 would be 2380. Then, you would multiply 2380 by 119% to get the new amount (2832.2), instead of adding 19% of 2000 again (if it were simple interest you would just add 380 again instead of compounding).

A is the final amount after compounding.

P is the principle, or the amount you start with.

R is the interest rate.

t is the number of  time periods (in this case 1/2 years).

n is the number of times interest is applied per time period (t) (it's still 1/2 because the interest is applied once per year).

Answer:a) $2380

b) $2832.2

Step-by-step explanation:

Answer:

133.75

Step-by-step explanation:

Answer:

Y=4 is a function

Step-by-step explanation:

And to me function is relation

Hope i got this right and have a great day :)

Answer: Yes

Step-by-step explanation:

Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.

Answer:

  (a)  0.6, 0.6, 0.65

Step-by-step explanation:

0.6 is equal to itself, so all instances of it can be grouped together in the list. Any positive decimal number is less than that same number with additional digits appended, so 0.6 < 0.65.

In this list of least-to-greatest, the values 0.6 will precede the value 0.65:

  0.6, 0.6, 0.65

Answer:

c I'm to 100 percent sure but if not it's b it's around 14 for sure

Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

From the options given, the angles that are pairs of corresponding angles given in the image are:

Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.

Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:

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Step-by-step explanation:

\(f(-1) = 7(-1) + 4 = -3\) (because -1 < 0)

\(f(0) = 7(0) + 8 = 8\)

\(f(2) = 7(2) + 8 = 22\)

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.