need answer. help is greatly appreciated.

Answer:

Let bags of pecans cost = x

Make an equation :

Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)

Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)

Cost for pecans = 3x

Cost for almonds = 5(x + 3) = 5x + 15

Price of pecans + price of almonds = total cost

Solve for x:

3x + 5(x + 3) = 55 (remove brackets)

3x + 5x + 15 = 55 (add like terms)

8x + 15 = 55

8x + 15 - 15 = 55 - 15 (get rid of the 15)

8x = 40

8x/8 = 40/8

x = 5

bags pecans cost is $5

bags of almonds is $5+$3 = $8

Step-by-step explanation:

Based on the information given, this is a compound interest problem.

We can use the formula: A = P(1 + r/n)^(nt) where:

A = the final amount

P = the principal (or initial amount deposited) r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time (in years)

In this problem, we want to find the principal (P) that must be deposited in order to have $38,000 when the child reaches 18. We know that the interest rate is 4%, compounded monthly (so n = 12). The time is 18 years.

Plugging in the values, we get: $38,000 = P(1 + 0.04/12)^(12*18)

Simplifying the exponent, we get: $38,000 = P(1 + 0.003333)^216 $38,000 = P(1.003333)^216

Dividing both sides by (1.003333)^216, we get: P = $38,000 / (1.003333)^216 P = $17,714.54

(rounded to two decimal places) Therefore, the parents must deposit $17,714.54 when their child is born in order to have $38,000 when the child reaches 18, assuming the money earns 4% interest compounded monthly.

The probability that a card drawn randomly from a standard deck of 52 cards is ed or a king = 7/13​

We know that the formula for the probability of an event is given by,

P = number of favourable outcomes / total number of possible outcomes of an event

Let us assume that event A : drawing a red card

and event B: drawing a king card

Here, sample space is a standard deck of 52 cards.

So, n(S) = 52

We know that there are 26 red cards in a standard deck of cards.

So, n(A) = 26

And there are 4 kings

So, n(B) = 4

Since there are two cards of king are red and two are black.

The favorable number of cards = 26+2

                                                 =28

So, the required probability is:

P = 28/52​

P = 7/13​

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The correct option is: Z=0 and the algorithm segment provided is: i := 4 if (i < 4 or i >7).

Then z:= 1 else z := 0

To find the value of z when the algorithm segment is executed, we have to evaluate the if condition. Since i is equal to 4, the if condition in the statement will be false as 4 is not less than 4 or greater than 7.

The else condition will be executed which is z := 0.

Therefore, the value of z when the algorithm segment is executed is 0.

So, the correct option is: Z=0

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Answer:

6

Step-by-step explanation:

find the greatest common factors of 48+

Answer:

6 i think

Step-by-step explanation:

The solution to the given differential equation as required is; y = √(x² + 4).

As evident in the task content;

dy / dx = x / y, y(0) = -2

Therefore, we have that;

dy (y) = dx (x)

By integration of both sides indefinitely;

y² / 2 = x²/2 + C

y² = x² + 2c

y = √(x² + 2c)

Hence, using the initial conditions;

-2 = √(0² + 2c)

-2 = √2c

2c = 4

c = 2.

Hence, the required solution of the differential equation as given is; y = √(x² + 4) since c = 2.

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To use polar coordinates, we need to first express the equations of the surfaces in polar coordinates.

In polar coordinates, we have x = r cosθ and y = r sinθ. Therefore, the equation x^2 + y^2 = 1 becomes r^2 = 1.

To find the volume of the solid, we can integrate over the region in the xy-plane bounded by the circle r=1. For each point (r,θ) in this region, the corresponding point in 3D space has coordinates (r cosθ, r sinθ, r^2+3)

Thus, the volume of the solid can be expressed as the double integral:

V = ∬R (r^2+3) r dr dθ

where R is the region in the xy-plane bounded by the circle r=1.

We can evaluate this integral using the limits of integration 0 to 2π for θ, and 0 to 1 for r:

V = ∫₀^¹ ∫₀^(2π) (r^3 + 3r) dθ dr

= ∫₀^¹ [(r^3/3 + 3rθ)]₀^(2π) dr

= ∫₀^¹ (2πr^3/3 + 6πr) dr

= 2π[(1/12) + (1/2)]

= 2π(5/12)

= (5/6)π

Therefore, the volume of the solid is (5/6)π.

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You can write an equivalent fraction with a smaller numerator and denominator.

When we take a fraction with the ratio of two integers =

Let the odd numerator be 3, and

Let the odd denominator be 9

therefore, now that we have to determine if one can write an equivalent fraction with a smaller numerator and denominator, the ratio will be as follows:

3:9 or we can similarly say 3/9

when we further simplify it, we will be getting the value of 1:3 or 3/9

hence, this shows that you can write an equivalent fraction with a smaller numerator and denominator.

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Answer:

Step-by-step explanation:

The explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).

The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).

According to the explanation above the correct choice is A

Answer:

C: In the trigonometric regression model, the explanatory variable is time and the response variable is the height.

Step-by-step explanation:

A quadratic regression model is a parabola. If time is x and height is y, it doesn't make sense if the height is 3,600 feet after a minute. (Not to scale) A trigonometric regression model is a sine wave like a sound wave. This makes sense because the Ferris wheel can only go so high. So after a minute, the height might be 8 feet. (Not to scale)

An explanatory variable is what what you manipulate or observe changes in.

A response variable is what changes with the explanatory variable.

For example, age would be an explanatory variable while height would be the response variable. Or, a caffeine dose would be explanatory, while say reaction time would be the response.

2(x^2+9x+20)

2(x^2+5x+4x+20)

2{x(x+5)+4(x+5)}

2(x+5)(x+4)

The height of the right cone given its volume and its diameter is  47 units.

A cone is a three-dimensional object that has a circular base and a vertex.

Height of the cone = Volume of a cone ÷ 1/3(πr²)

Where:

3525π÷ (1/3 x π x 15²) = 47 units

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Answer:

D=90° E=103° F=77°

Step-by-step explanation:

D+90°=180°

D=90°

F+103°=180°

F=77°

E + F=180°

E=103°

Answer:

wouldn't this be 4,2?

Step-by-step explanation:

i remember doing this in school last year and dilation means you would multiple the coordinates by what ever the dilation factor was, in this case its 2.

Answer:

21 projects each

Step-by-step explanation:

3150 ÷150

Answer:

Step-by-step explanation:

the sum of interior angles is 180°

46 + 35 + 100 = 181

the answer is NO

Rex should plant the vegetable garden in the middle of the grassy lawn because it provides ample sunlight and fewer competing plants or trees that could hinder the growth of vegetables.

Rex should choose to plant the vegetable garden in the middle of the grassy lawn. This location offers several advantages for successful vegetable growth. Firstly, being in the middle of the lawn ensures that the garden receives abundant sunlight throughout the day. Sunlight is crucial for photosynthesis, which is essential for the growth and development of plants, including vegetables.

Secondly, the grassy lawn provides a relatively open space without the presence of large trees or plants that could potentially compete for nutrients, water, and sunlight. Planting the garden beneath a large oak tree or in a shady back corner may result in limited sunlight and increased competition for resources from the existing vegetation.

By choosing the middle of the grassy lawn, Rex can maximize the garden's exposure to sunlight and minimize the competition from other plants, creating favorable conditions for the vegetables to thrive and yield a successful harvest.

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The term that refers to the arithmetic average of a series of numbers is c. mean. It is calculated by summing up all the values in a data set and dividing the sum by the total number of values.

In statistics, the mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by summing up all the values in the data set and dividing the sum by the total number of values. The mean provides a representation of the typical or average value in the data set.

Option a, mode, refers to the value or values that appear most frequently in a data set.

Option b, median, is the middle value in a sorted list of numbers. It separates the higher half from the lower half of the data set.

Option d, range, represents the difference between the maximum and minimum values in a data set, providing a measure of dispersion.

Therefore, the correct term that corresponds to the arithmetic average of a series of numbers is c. mean.

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In spherical coordinates, the equation \(5z^2 = 6x^2 + 6y^2\) can be written as: \(ρ^2sin^2(φ) = 6ρ^2sin^2(θ)cos^2(φ) + 6ρ^2sin^2(θ)sin^2(φ)\)

Spherical coordinates are a system of coordinates used to represent points in three-dimensional space. In this coordinate system, a point is described by three parameters: ρ (rho), θ (theta), and φ (phi).

ρ (rho) represents the radial distance from the origin to the point.

θ (theta) represents the azimuthal angle, which is the angle measured in the xy-plane from the positive x-axis to the line connecting the origin and the point.

φ (phi) represents the polar angle, which is the angle measured from the positive z-axis to the line connecting the origin and the point.

In spherical coordinates, a point in 3D space is represented using three parameters: ρ (rho), θ (theta), and φ (phi).

ρ (rho) represents the radial distance from the origin to the point.

θ (theta) represents the azimuthal angle, which is the angle measured in the xy-plane from the positive x-axis to the line connecting the origin and the point.

φ (phi) represents the polar angle, which is the angle measured from the positive z-axis to the line connecting the origin and the point.

To express the equation\(5z^2 = 6x^2 + 6y^2\)in spherical coordinates, we need to convert the variables x, y, and z to their corresponding spherical coordinate representations.

In spherical coordinates, the conversions are as follows:

x = ρsin(φ)cos(θ)

y = ρsin(φ)sin(θ)

z = ρcos(φ)

Substituting these values into the equation, we have:

5(ρcos(φ))^2 = 6(ρsin(φ)cos(θ))^2 + 6(ρsin(φ)sin(θ))^2

Simplifying the equation further by expanding the terms and using trigonometric identities, we can obtain the equation in spherical coordinates:

\(ρ^2sin^2(φ) = 6ρ^2sin^2(θ)cos^2(φ) + 6ρ^2sin^2(θ)sin^2(φ)\)

This equation relates the variables ρ, θ, and φ in spherical coordinates and represents the same relationship as the original equation in Cartesian coordinates.

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Answer:

A. 112.5°C

Step-by-step explanation:

Use the inverse variation equation, y = \(\frac{k}{x}\)

Replace y with T, and replace x with V:

T = \(\frac{k}{V}\)

Plug in 90 as T and 25 as V, then solve for k:

T = \(\frac{k}{V}\)

90 = \(\frac{k}{25}\)

2250 = k

So, the equation is T = \(\frac{2250}{V}\)

Plug in 20 as V and solve for T:

T = \(\frac{2250}{V}\)

T = \(\frac{2250}{20}\)

T = 112.5

So, the temperature will be A. 112.5°C

Answer: three more

Step-by-step explanation:

these are tally marks, one tally mark counts as one, during the fifth mark, it goes sideways across the other four. There are three more students who wanted cookies rather than popcorn because when you minus the numbers of students cookies from popcorn, you get three

Hope this helps

Please give brainliest

Thank you so much

B (23x5)-s

1) Gathering the data:

5 6th grade classes of 23 students

S= absent students

2) Since S represent the absent students. The question is How many went to the museum.

Then the expression that represents the absent students

is

5 classes of 23 students:

(23 x 5)

Minus the number of absent students, so:

(23x5)-s

(a)If log₄​x = 5, the base is 4 and the logarithm is 5 , then x = 1024. (b) If log₆​x = 8 the base is 6 and the logarithm is 8  then x = 1679616.

(a) In the equation log₄​x = 5, the base is 4 and the logarithm is 5. To solve for x, we need to rewrite the equation in exponential form. In exponential form, 4 raised to the power of 5 is equal to x. Therefore, x = 4^5 = 1024.

(b) In the equation log₆​x = 8, the base is 6 and the logarithm is 8. Rewriting the equation in exponential form, 6 raised to the power of 8 is equal to x. Hence, x = 6^8 = 1679616.

In both cases, we used the property of logarithms that states: if logₐ​x = y, then a raised to the power of y equals x. By applying this property, we can convert the logarithmic equations into exponential form and find the values of x.

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Answer:

3(4) - 2 is 10 the value is 10

5(2) + 6 is 16 the value is 16

I hope this helps have a good day or night!

The best interpretation of this slope is A. On average, each 1-centimeter increase in foot length was associated with a 5.89-centimeter increase in shoulder height.

The elephants of Kruger would need to be continuously culled until the habitats began to recover, at which point the reduced population numbers would need to be maintained until the vegetation had recovered to a near-climax state in order to determine that number.

The average change in the response (y) variable that is associated with a change of one unit in the explanatory (x) variable is shown by the slope of the regression line.

In this instance, the slope represents the average change in shoulder height caused by an increase in foot length of one centimeter.

Slope = ∆Y/∆X = change in Y per unit change in X = 5.89

thus, The average increase in shoulder height was 5.89 centimeters for every 1-centimeter increase in foot length.

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(complete questions)

Baruti, a ranger in kruger national park in south africa, collected data about the elephant population in the park. She compared the foot lengths of the elephants and their shoulder height (both in centimeters) and created the following scatterplot and regression line. The fitted line has a slope of 5. 895. 895, point, 89. What is the best interpretation of this slope?.

A. On average, each 1 centimeter increase in foot length was associated with a 5.89 centimeter increase in shoulder height.

B. On average, each 1 centimeter increase in shoulder height was associated with a 5.89 centimeter increase in foot length.

C. We would predict an elephant with a foot length of 0 centimeters to have a shoulder height of 5.89 centimeters.

D. We would predict an elephant with a foot length of 0 centimeters to have a shoulder height of 0 centimeters.

∠BCE is drawn, line segment CA is drawn,  Ray CA is drawn, For Circle C is drawn, Ray BE is not drawn.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that Circle C is inscribed with 5 lines

Point C is at the center of the circle

3 lines come out of point C and make points D, A, and B on the edge of the circle.

Another line comes out of point C and goes past the edge to point E.

For ∠ABC

The geometric figure is not drawn.

For ∠BCE

The geometric figure is drawn.

For line segment CA

The geometric figure is drawn.

For Ray CA

The geometric figure is drawn.

For Circle C

The geometric figure is drawn.

For Ray BE

The geometric figure is not drawn.

For Line segment AE

The geometric figure is not drawn.

Hence,  ∠BCE is drawn, line segment CA is drawn,  Ray CA is drawn, For Circle C is drawn, Ray BE is not drawn.

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The horizontal velocity with which the ball should be imparted to land on the rooftop of the second building is approximately 4.42 meters/second.

To find the horizontal velocity with which the ball should be imparted to land on the rooftop of the second building, we can use the fact that the horizontal distance travelled is 20 meters.

We know that horizontal distance (x) equals horizontal velocity (\(v_x\)) multiplied by time (t).

Since the horizontal distance is 20 meters, we have:

\(20 = v_x * t\)

We need to find the value of \(v_x\).

We also know that the time it takes for the ball to reach the rooftop of the second tower is t, which we calculated earlier as approximately 4.52 seconds.

We can plug in this value of t into the equation to find \(v_x\):

\(20 = v_x * 4.52\\v_x = 20 / 4.52\\v_x \approx4.42 meters/second\)

Therefore, the correct answer is : 4.42 meters/second.

The horizontal velocity with which the ball should be imparted to land on the rooftop of the second building is approximately 4.42 meters/second.

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Answer:

10:30

Step-by-step explanation:

Half an hour is 30 min

The value of x is 100, 000

Percentage can be defined as a number or ratio expressed as a fraction of 100.

It is denoted using the percent sign, "%"

From the information given, we have;

33 1/3% out of 30 = x

Note that 331/ 3 can be written as; 100/ 3%

Substitute into the equation

x = 100/ 3% × 30

x = 100/ 3 × 100 × 30

x = 33. 3 × 100 × 30

x = 100, 000

Thus, the value of x is 100, 000

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