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The equation for the price of mini golf is 5x + 4y = 60, where x is price per round of mini golf and y is price per turn in the batting cages. The equation for price of batting cages can be represented as 3x + 6y = 45.

Let's represent the price per round of mini golf as x and the price per turn in the batting cages as y. From the given information, we can form two equations:

Equation 1: 5x + 4y = 60

This equation represents the total cost of Sylvester's activities, where he plays 5 rounds of mini golf (5x) and takes 4 turns in the batting cages (4y), resulting in a total cost of $60.

Equation 2: 3x + 6y = 45

This equation represents the total cost of Lin's activities, where she plays 3 rounds of mini golf (3x) and takes 6 turns in the batting cages (6y), resulting in a total cost of $45.

These two equations can be solved simultaneously to find the values of x and y, representing the prices for each activity.

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Answer:

Choice 3

Step-by-step explanation:

The reason why is because 2/3 x 1/3 = 2/9 and the third choice represents 2/9 btw you can't give brainliest until another person answers aswell.

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

B.9

Step-by-step explanation:

you are just trying to find the number to make it equal to 18

Answer:

the answer = um ok

Step-by-step explanation:

Option 4 is the correct option. Keep the base the same and then subtract the exponents. The simplified value of the expression is 3 ^ -2. This can be obtained by using Quotient of Power Property.

Here in this question it is given that,

⇒ (3^-6)/(3^-4)

By using the Quotient of Power Property, we can find the simplified value of the expression.

Since the bases are equal we can subtract the exponents of the numbers.

Here the common base is 3 and -6 and -4 are the exponents of the numbers.

Now by subtracting the exponents we get,

⇒ (3^-6)/(3^-4)

= 3^ [-6 - (-4)]

= 3 ^ [-6 + 4]

= 3 ^ -2

Hence option 4 is the correct option. Keep the base the same and then subtract the exponents. The simplified value of the expression is 3 ^ -2.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Describe how to simplify the expression (3^-6)/(3^-4).

Option 1: Divide the bases and then add the exponents.

Option 2: Keep the base the same and then add the exponents.

Option 3: Multiply the bases and then subtract the exponents.

Option 4: Keep the base the same and then subtract the exponents.

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The matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5 is as follows.

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

A relation is a set of ordered pairs.

The matrix of a relation is constructed by using its ordered pairs with their respective values as its entries, and its rows and columns by its domain and range, respectively.

So, the relation r is given as{(1,2),(2,3),(3,4),(4,5)}

The elements in the rows of the matrix correspond to the elements of x, while the elements in the columns of the matrix correspond to the elements of x as well, in that order.

So, the matrix of r on x can be written as:

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

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After considering the given data we conclude that the work done in pumping all the water out of the tank is approximately 782,376 foot-pounds.

To evaluate the work done in siphoning all the water out of the hemispherical tank, we really want to find the necessary of the power applied by the water as it is siphoned out.

Starting with, we have to decide the constraints of mix. The tank is totally full, so the underlying level of the water level, A, is from the lower part of the tank (the beginning) to the highest point of the half of the globe, which is 10 ft.

The last level of the water level, B, is 2 ft over the highest point of the tank, which is 12 ft.

Presently, we should decide the articulation for the power applied by a little component of water at level y. The power used by a little component of water is equivalent to its weight, which is the product of its mass and the speed increase because of gravity.

The mass of a little component of water can be approximated as the volume of the relating barrel shaped shell. The volume of a barrel shaped shell is given by \(V = \pi r^2h\),

Here,

r = span of the tank

h = level of the round and hollow shell.

For this situation, the span of the tank is 10 ft, and the level of the tube shaped shell is (12 - y) ft.

The power applied by the water at level y is then

\(F(y) = \rho gV\),

Here,

ρ = thickness of water

g = speed increase because of gravity.

To use the work, we really want to incorporate the power capability regarding y:

\(Work = \int(A to B) F(y) dy = \int(0 to 12) \rho g \pi (12 - y) dy\)

Presently, how about we substitute the given qualities:

ρ = thickness of water = 62.4 lb/f  (around)

g = speed increase because of gravity = 32.2 ft/s² (around)

r = 10 ft

\(Work = \int(0 to 12) (62.4)(32.2)(\pi)( )(12 - y) dy\)

Observing this fundamental will give us the work done in foot-pounds. Then, since the vital articulation is intricate, it is prescribed to use mathematical techniques or a PC program to get the exact mathematical worth.

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Answer:

g(1) = 0

Step-by-step explanation:

To evaluate g(1) , substitute x = 1 into g(x), that is

g(1) = 4 - 2(3 - 1)

      = 4 - 2(2)

      = 4 - 4

      = 0

Answer: its 0

Step-by-step explanation:

The values of x in each equation are;

1) 128

2) 1500

Forming an equation involves expressing a mathematical relationship or statement using mathematical symbols and symbols of equality. The goal is to represent a real-life situation, a mathematical problem, or a hypothesis in a clear and concise way that can be easily analyzed and solved.

We have that;

1) let the number be x

85/100 * x = 108.8

x = 108.8 * 100/85

= 128

2) Let the number of the kettle corn be x;

6/10 * 2500 = x

x = 1500

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A = 120/2

B=120/4

Car A traveled 60 miles per hour

car B traveled 30 miles per hour

Answer:

car A traveled 60 miles per hour

car B traveled 30 miles per hour

Step-by-step explanation:

I did 2/120 for car A and got 60

then I sid 4/120 for car B and got 30

Answer:

1/6

Step-by-step explanation:

Since you are rolling the die only one time there is only one way of you getting a 6 and that is rolling an actual 6. There are six sides to the die so you take the one 6 out of the the others and there is your probability.

Answer:

5/36

Step-by-step explanation:

I got it right

m - 9 = 42

42 is our final answer so that should be by itself.

If something is being decreased by 9, that means that we are taking away 9 from something so it should be m - 9.

Answer:

m-9=42

Step-by-step explanation:

I'm pretty sure that m-9=42 is the correct answer because m or the amount is being decreased by 9 as 9 is being subtracted from it.

Answer:

x = 8

y = 36

Step-by-step explanation:

The triangle shown in the image is an isosceles triangle.

We can find the value of x using the above mentioned information:

∠B = ∠A

5x = 40 divide both sides by 5

x = 8

The sum of interior angles in a triangle is equal to 180°.

Since ∠B and ∠C are both 40°:

40 + 40 + 3y - 8 = 180 add/subtract like terms

72 + 3y = 180 subtract 73 from both sides

3y = 108 divide both sides by 3

y = 36

Answer:

Step-by-step explanation:

✦ First change the improper fractions to decimals:

 ✧ ⁵⁄₄ = 1.25

 ✧ -⁹⁄₅ = -1.8

✦ Then divide:

 ✧ 1.25 ÷ -1.8 = -0.69

So x would be -0.69 in decimal form.

Answer:

x=0.55

Step-by-step explanation:

The probability will be 0.88, hat the total number of dots is between 300 and 400.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

mean number of dok = 3.5 and

st. deianon = 1.7078

so manor 100 toss = 2,5%

st duiation is = 1.7078 x (100)\(.^{1/2}\)

=17.078

R = 2.92 St. deviation away from mian

probability that total no lie between 300 and 400.

= 1 - \(\frac{1}{k^{2} }\)

=0,88

Hence, The probability will be 0.88.

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The specific name of the quadrilateral is trapezoid

The measure of the missing angle is 55 degrees

To determine the measure of the angle, we need to know the following;

The properties of a trapezoid are listed as;

From the information given, we have that;

125 + x = 180

collect the like terms, we have;

x = 180 - 125

subtract the values, we get;

x = 55 degrees

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Answer:

x=55⁰

Step-by-step explanation:

the line js supplementary so 180-125= 55

pls vote brainliest

Answer:

the answer is C

The length of line segment AB in the triangle using the midsegment theorem is 64.

The Midsegment Theorem states that "the segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side."

From the diagram:

Midsegment = 3x + 5

Third side = 7x + 1

First, we solve for x, using the midsegment theorem:

( 3x + 5 ) = 1/2 × ( 7x + 1 )

Multiply both sides by 2:

2( 3x + 5 ) = ( 7x + 1 )

6x + 10 = 7x + 1

Collect and add like terms:

7x - 6x = 10 - 1

x = 10 - 1

x = 9

Now, we solve for line AB:

Line AB = 7x + 1

Plug in x = 9

Line AB = 7(9) + 1

Line AB = 63 + 1

Line AB = 64

Therefore, the line segment AB is 64.

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The function \(f(t) = 1 - t - t^2 - t^3\) gives the value of \(f(-1) = 0\)

In order to find the value of \(f(-1)\), we have to replace \(t\) with \(-1\). Therefore, we have to find the value of \(f(-1)\) as follows:

\(f(-1) = 1 - (-1) - (-1)^2 - (-1)^3\)

\(= 1 + 1 - 1 + (-1)\)

\(= 0\)

Therefore, the value of f(-1) for the function \(f(t) = 1 - t - t^2 - t^3\) is \(0\)

We can substitute values into a polynomial function for determining its value at that point.

The sum of polynomial powers with coefficients is defined as a polynomial. The simplest polynomials, also known as monomials, have only one term. Binomials and trinomials are two-term and three-term polynomials, respectively.

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If your overall regression model is not significant, it means that the predictors included in the model do not have a significant relationship with the dependent variable. In such cases, there are several steps you can consider: reviewing your model, examining individual predictors, considering alternative models, evaluating model assumptions, gathering more data, and seeking expert advice.

Points to consider when your overall regression model is not significant are as follows:

1. Review your model: Double-check your regression model to ensure that it is correctly specified. Look for any potential errors or issues with the data, such as missing values, outliers, or violations of assumptions.

2. Examine individual predictors: Assess the significance and direction of each individual predictor in the model. Even if the overall model is not significant, it is possible that some predictors may still have a significant relationship with the dependent variable.

3. Consider alternative models: Explore alternative models by including or excluding different predictors, transforming variables, or incorporating interaction terms. Sometimes, a different model specification may reveal significant relationships.

4. Evaluate model assumptions: Validate the assumptions of multiple regression, including linearity, independence, normality, and homoscedasticity. Violations of these assumptions may affect the significance of the model.

5. Gather more data: If the sample size is relatively small, collecting additional data may help increase the power of the analysis, potentially leading to significant results.

6. Seek expert advice: Consult with a statistician or research advisor who can provide guidance on the specific context of your study and suggest appropriate analyses or model adjustments.

Regarding the options you mentioned:

- Post-hoc Bonferroni test: This test is typically used in the context of hypothesis testing for multiple comparisons. However, if your overall regression model is not significant, it suggests a lack of association between the predictors and the dependent variable, making post-hoc tests unnecessary.

- Simple main effects analysis: This type of analysis is typically used when examining interactions in analysis of variance (ANOVA) designs. It may not be directly applicable in the context of multiple regression.

- Post-hoc Tukey test: Similar to the Bonferroni test, the Tukey test is used for multiple comparisons in the context of ANOVA. It may not be directly relevant if your focus is on the significance of the overall regression model.

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The perimeter of a non rectangular parallelogram is always greater than the rectangle. Even if it has same height and area.

The parallelogram has the opposite sides equal but in a rectangle the opposite sides are equal only when the adjacent sides are perpendicular. Even if the sides of parallelogram and the sides of rectangle are same the parallelogram is always greater then the rectangle.

The properties of both the shapes has few similarities but they are never the same. The perimeter of a parallelogram can be found by adding the sides. But the rectangles perimeter will always be less when the total value is taken.

The angle of the Rectangle will form right angle, but in a parallelogram the angle does not exactly form right angle that is 90 degree. The formula for finding the perimeter of rectangle is by adding the length, width and height. The rectangle has the same perimeter of square but the rectangle does not has the same perimeter as the parallelogram

The formula for the area in both parallelogram and rectangle are different even if both the shapes has the height and the length. If there are more than two types of rectangle then the rectangle has the same perimeter but the area of  the shapes are different.

By this we can understand that the rectangles can be same as parallelogram, but a parallelogram is never equal to rectangle. The main reason is there are two sets and both both the sets that are parallel are equal with the pairs of opposite sides.

A rectangle can be considered as parallelogram because the two sets of the rectangle that are opposite to each other is equal. The parallelogram is a quadrilaterals only with the parallel sides that are equal. If there are two shapes then it is not necessary that has to have same perimeter but there are chances that the area might be same or different.

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Answer:

the answer is 1800cm²

Step-by-step explanation:

1. L=60cm

2. B=L/2=60/2=30cm

area of rectangular field=L×B

=60×30=1800cm²

The two-sided amplitude spectrum of the sampled waveform  (a) with ideal sampling, using the Discrete Fourier Transform (DFT). (b) For practical sampling, using a periodic rectangular pulse train the spectrum will be the same as the original signal.

(a) The DFT takes a sequence of numbers, representing the signal, and computes the amplitudes of the components that make up the signal. The result is the amplitude spectrum of the signal, which shows the frequency components and their corresponding amplitudes.  

(b) For practical sampling, we can use a periodic rectangular pulse train with period 1 = 20 usec, duty cycle and pulse height, h=1 volt. We can use the sampling theorem to determine the amplitude spectrum. The sampling theorem states that if a signal is sampled at a frequency that is at least twice the maximum frequency of the signal, then the samples will contain all the information of the original signal. Thus, the amplitude spectrum will be the same as the spectrum of the original signal.

To plot the two-sided amplitude spectrum of the sampled waveform, we can use the Fast Fourier Transform (FFT). The FFT is an efficient algorithm for computing the discrete Fourier transform of a signal. It is used to calculate the amplitudes of the frequency components of the signal.

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Before 5g left, 7.2 minutes had gone by.

Distance, time, and speed are all related to one another in their fundamental concepts. Distance traveled by a body in a given amount of time is its speed. That is Speed = Distance / Time. Normal Speed: Normal Total distance times speed Speed: Speed = Distance x Time Distance = D. (Speed x Time) Distance multiplied by speed equals time. mass This means that it would take 7.2 minutes before you had 5 g left: 0. 502.4. 254.8. 12.57.2. 6.259.6.

The amount of time it takes for a radioactive element to decay to half its original value is known as its half life. The time it takes for a source's activity to decrease to half its initial value is implied by this to be the definition of a half life.

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Answer:

You add it by 2 each time to get your answer

Step-by-step explanation:

Answer A. 3 mph

A. 3 mph

The distance between the building and the ladder is 34.876 foot.

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

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