John wants to purchase at least 4 books and 5 notebooks from a stationery shop. The
cost of each book is $8 and the cost of each notebook is $4. Which inequality correctly
represents the minimum amount of money he should carry?

Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

The leading term of a polynomial function is the term containing the highest power of the variable. Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

The degree of a polynomial function is the highest degree of any of its terms.

If a polynomial has only one term, then the degree of that term is the degree of the polynomial and is also called a monomial.

For example, consider the given function:Now, observe the degree of the function, which is 14, as the highest exponent of the function is 14.

Thus, the term containing the highest power of the variable x is -18x¹⁴.

Therefore, among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

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Answer:

6h+5

Step-by-step explanation:

7h-h=6h

1+4=5

Hope this helps :)

Answer:

6h + 5 is the correct answer

Step-by-step explanation:

7h + 1 - h + 4

7h + 1 + 4 - h

7h + 5 - h

6h + 5

hope this helped!

mark me brainliest :D

Count is incremented by 1 before returning the result because we want to count the number of trials needed to achieve the first success.

To create a Geometric random variable with a probability of success equal to p, you can use the following algorithm:

Initialize a counter variable, let's call it count, to 0.

Generate a random number between 0 and 1, let's call it rand_num.

Set the initial probability of success, prob_success, to p.

While rand_num is greater than prob_success, do the following steps:

Increment count by 1.

Generate a new rand_num between 0 and 1.

Update prob_success by multiplying it with (1 - p).

Return count + 1 as the generated Geometric random variable.

This algorithm works by repeatedly generating random numbers until a success occurs. Each time a failure occurs (when rand_num is greater than prob_success), the probability of success is updated to account for the remaining trials.

Note that count is incremented by 1 before returning the result because we want to count the number of trials needed to achieve the first success.

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Answer:

  £6941

Step-by-step explanation:

If the car depreciates by 16% each year, then its value is multiplied by 1-16% = 0.84 each year. After 8 years, the value will have been multiplied by that factor 8 times.

__

Depreciated value = Original value × 0.84^8

  = £28,000 × 0.247876

  ≈ £6941 . . . . value after 8 years

7 i do not feel like explaining tbh

P-value is less than the level of significance α = 0.05, we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

a. Performing the test using the classical approach α=0.05

Hypothesis test:

Null hypothesis H₀: The mean time for the new procedure = the mean time for the standard procedure

Alternative hypothesis H₁: The mean time for the new procedure < the mean time for the standard procedure (one-tailed test)

Level of significance α = 0.05

Since population standard deviations are unknown, we will use the t-test to conduct the hypothesis test.

Below is the calculation of the t-test.(For detailed calculation of t-test, please refer to the image attached)

Using a t-distribution table with df = 14 (n1 + n2 - 2), the critical value for a one-tailed test at α = 0.05 is -1.761.

The test statistic (-2.029) is less than the critical value (-1.761), so we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

b.Performing the above test assuming population variances are equal

Hypothesis test

Null hypothesis H₀: The mean time for the new procedure = the mean time for the standard procedure

Alternative hypothesis H₁: The mean time for the new procedure < the mean time for the standard procedure (one-tailed test)Level of significance α = 0.05

Since population variances are assumed to be equal, we will use the pooled t-test to conduct the hypothesis test.

Below is the calculation of the pooled t-test.(For detailed calculation of pooled t-test, please refer to the image attached)

Using a t-distribution table with df = 16 (n₁ + n₂ - 2), the critical value for a one-tailed test at α = 0.05 is -1.746.

The test statistic (-2.029) is less than the critical value (-1.746), so we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

c. Performing the above test (#2) using the p-value approach.

Hypothesis test:

Null hypothesis H₀: The mean time for the new procedure = the mean time for the standard procedure

Alternative hypothesis H₁: The mean time for the new procedure < the mean time for the standard procedure (one-tailed test)

Level of significance α = 0.05

Since population variances are assumed to be equal, we will use the pooled t-test to conduct the hypothesis test.

The test statistic is -2.029, which corresponds to a p-value of 0.0328.

Since the p-value is less than the level of significance α = 0.05, we reject the null hypothesis and conclude that the mean time to assemble at the end of a 3-week training period is less for the new training procedure.

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21 inch²

we splitthe two shapes, find the areas by multiplying the two sides and we add both of the answers, 15+6

Answer:

2(3) + 2(6) = 6 + 12 = 18 square feet

If the first event is number 1 and the last event is number 8, then the event that occurred fifth in the sequence would be numbered as 5. However, without the accompanying figure, it is impossible to determine which specific event occurred at that point in the sequence.

To determine which event occurred fifth in the sequence of the accompanying figure, you should follow these steps:
1. Identify the first (oldest) event, which is labeled as number 1.
2. Move on to the next oldest event, which will be number 2, and so on.
3. Continue identifying events in chronological order.
4. When you reach the event labeled as number 5, this will be the event that occurred fifth in the sequence.
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Answer:

Step-by-step explanation:..

The coordinate of X is ( 9, -2 ).

Here,

Given WY with W(3,7) and Y(13.-8),

And, X partitions WY such that the ratio of WX to XY is 3:2

We have to find  the coordinates of X.

How to find the coordinate of a ratio?

If two coordinates is ( a, b) and (c, d ) and ratio is m:n the the coordinate of a ratio is,  \((\frac{cm+an}{m+n} , \frac{bn + dm}{m+n})\)

Now,

Coordinates are  W(3,7) and Y(13.-8).

And, Ratio are m:n = 3:2

Then,  the coordinates of X = \((\frac{3*2+13*3}{3+2} , \frac{7*2+(-8)*3}{3+2})\)

                                          = \((9, -2)\)

Hence, The coordinate of X is ( 9, -2 ).

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Step-by-step explanation:

I think so is like this lah

Answer:

3600

Step-by-step explanation: i got my answer off the other guy

The solution of the system of equation are y=4/9x-5 and 1/9x-2y=-4 is x=18 and y=3.

Two or more expressions with an Equal sign is called as Equation.

The system of equation are:

y=4/9x-5..(1)

1/9x-2y=-4..(2)

Substitute 1 in equation 2

1/9x-2(4/9x-5)=-4

1/9x-8/9 x+10=-4

x/9(1-8)+10=-4

x/9(-7)+10=-4

Substitute 10 on both sides

-7x/9=-4-10

-7x/9=-14

-7x=-126

Divide both sides by 7

x=126/7

x=18

Now plug in x value in equation 1

y=4/9(18)-5

y=8-5

y=3

Hence, the solution of the system of equation are y=4/9x-5 and 1/9x-2y=-4 is x=18 and y=3.

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Answer:

Step-by-step explanation:

No the expression "x+6" does not describe the situation. The expression 6x describes the situation. "x" represents the number of customers in the coffee shop.

Answer:

X= number of people in the coffe shop

Step-by-step explanation:

Hope this helps :)

The expression that shows three times the six power of 10 is 3 × 10⁶

three times the six power of 10

three times the six power of 10

= 3 × 10⁶

This is written in scientific notation

Scientific notation is a method of writing or displaying real numbers as a decimal number between 1 and 10 followed by an integer power of 10. It is also the alternative format of such a decimal number immediately followed by E and an integer.

For instance,

The number 0.00236 is written in scientific notation as 2.36×10^−3 or as 2.36E^-3.

Therefore, the expression that shows three times the six power of 10 is 3 × 10⁶

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Answer:

l = 31 cm

w = 27 cm

Step-by-step explanation:

l = w + 4

p = 2l + 2w

p = 2(w+4) + 2w

116 = 2(w+4) + 2w

116 = 2w + 8 + 2w

116 = 4w + 8

108 = 4w

27 = w

l = w + 4

l = 27 + 4

l = 31

hope this helps, pls mark brainliest :D

Answer:

w=18 L=40

Step-by-step explanation:

 w

---------

|         |

|         | 2w+4

|         |

---------

2(2w+4)+ 2(w)=116

6w+8=116

6w=108

w=18

2(18)+4

36+4

40

Answer:  0.01827

Step-by-step explanation:

Given: The lengths of the red drum species of fish have an approximately Normal distribution, with a mean length\((\mu)\) of 24 inches and a standard deviation\((\sigma)\) of 1.4 inches.

Let x=  length of the red drum species of fish

The probability that length is not between 21 and 28 inches long :

\(1-P(21<X<28)=1-P(\dfrac{21-24}{1.4}<\dfrac{X-\mu}{\sigma}<\dfrac{28-24}{1.4})\\\\=1-P(-2.14<z<2.86)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-(P(z<2.86)-P(z<-2.14))\\\\=1-(0.9979-0.01617)\\\\=1-0.98173=0.01827\)

Hence, the proportion of red drum fish must be thrown back = 0.01827

Answer:

option b on edge

Step-by-step explanation:

Answer:

like write an equation? If so it's a 0 slope

Step-by-step explanation:

Answer:

-3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

Step-by-step explanation:

Analysis means examining the whole in order to learn about the individual elements. Correct option is b).

Analysis involves breaking down a complex system or situation into smaller parts in order to understand how they work together. This process allows for a more detailed examination of the individual components, which can then be studied in isolation or in relation to one another.

Analysis is a critical part of problem-solving and decision-making, as it enables us to identify patterns and relationships that might not be immediately apparent. By analyzing a situation or system, we can gain a deeper understanding of its strengths, weaknesses, opportunities, and threats, which can inform our strategic planning and risk management efforts. Correct option is b).

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Answer:

y+5/4 = x

Step-by-step explanation:

I think that this will get really messy if you integrate with respect to y.

Here is what I suggest you do.

=2+82−5y=2x+8x2−5

Evaluated at =1y=1 and =5y=5

1=2+82−5=21=2x+8x2−5x=2

5=2+82−5=1

5=2x+8x2−5x=1

∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

Answer:

Step-by-step explanation:

Como quito el ingles

22 gallons of the first brand (35% pure antifreeze) and 88 gallons of the second brand (60% pure antifreeze) to make 110 gallons of a mixture that contains 55% pure antifreeze.

Let x be the number of gallons of the first brand (35% pure antifreeze) needed, and y be the number of gallons of the second brand (60% pure antifreeze) needed to make the desired mixture.

We know that the total volume of the mixture is 110 gallons and the desired concentration of antifreeze is 55%.

We can set up two equations based on the amount of antifreeze and the total volume of the mixture:

0.35x + 0.6y = 0.55(110) (amount of antifreeze)

x + y = 110 (total volume)

Simplifying the first equation, we get:

0.35x + 0.6y = 60.5

Now we can use substitution or elimination to solve for x and y. Here's one way to use substitution method

x + y = 110 (equation 1)

x = 110 - y (solve for x)

0.35x + 0.6y = 60.5 (equation 2, substitute x)

0.35(110 - y) + 0.6y = 60.5 (substitute x into equation 2)

38.5 - 0.35y + 0.6y = 60.5 (distribute 0.35)

0.25y = 22 (combine like terms)

y = 88 (divide both sides by 0.25)

So we need 88 gallons of the second brand (60% pure antifreeze). To find the amount of the first brand (35% pure antifreeze), we can substitute y back into equation 1:

x + y = 110

x + 88 = 110

x = 22 gallons

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Answer: 3

Step-by-step explanation: The additive inverse of -3 is 3.

Answer:

I would stay direct vartation

Step-by-step explanation:

For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

240 mL of 15% alcohol solution contains 0.15 • 240 = 36 mL of alcohol.

If we add \(x\) mL of pure alcohol to it, we increase the total volume to \(240 + x\) mL, and it will contain \(36 + x\) mL of alcohol.

Solve for \(x\) such that the concentration of alcohol (the ratio of the volume of alcohol to total volume of solution) is 80%.

\(\dfrac{36 + x}{240 + x} = 0.80\)

\(36 + x = 0.80 (240 + x)\)

\(36 + x = 192 + 0.80x\)

\(0.2x = 156\)

\(x = 780\)

You need to add 780 mL of pure alcohol to get the desired concentration.

The paths of two particles are described by parametric equations. The first particle follows a circular path, while the second particle follows a path with both circular and linear components.

We need to graph the paths and determine the number of points of intersection.

Additionally, we need to find the collision point where the particles occupy the same position at the same time.

Lastly, we need to determine if there is a collision when the x-coordinate of the second particle is modified.

(a) To graph the paths of both particles, we plot the parametric equations x1 = 3sin(t), y1 = 2cos(t) and x2 = -3 + cos(t), y2 = 1 + sin(t) on a coordinate plane for 0 ≤ t ≤ 2π. The paths of the particles will be represented by curves. By analyzing the graph, we can count the number of points of intersection.

(b) To find the collision point, we need to find the values of t where x1 = x2 and y1 = y2 simultaneously. By setting 3sin(t) = -3 + cos(t) and 2cos(t) = 1 + sin(t), we can solve for t. The obtained value(s) of t will give us the collision point (x, y) where the particles occupy the same position at the same time.

(c) If the x-coordinate of the second particle is modified to x2 = 3 + cos(t), we need to repeat the process of finding the collision point. By setting 3sin(t) = 3 + cos(t) and 2cos(t) = 1 + sin(t), we solve for t. Depending on the solution(s) of t, we can determine if there is still a collision or not.

Please note that since this question involves graphing and solving equations, it is best to draw the graphs and solve the equations visually or using numerical methods to obtain specific values.

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Step-by-step explanation:

A.

the height, the 17cm leg and half of the baseline (16/2 = 8cm) create a right-angled triangle.

so, Pythagoras applies.

c² = a² + b²

c being the Hypotenuse (side opposite of the 90° angle).

so, we get

17² = height² + 8²

289 = height² + 64

225 = height²

height = sqrt(225) = 15cm

B.

the answer to this is the surface area of the whole box.

it has 5 sides :

bottom : 20×16 rectangle = 320 cm²

left and right : 20×17 rectangles = 340×2 = 680 cm²

front and back : 16×15/2 triangles = 120×2 = 240 cm²

in total that is

320 + 680 + 240 = 1,240 cm² of cardboard