The Sweet Shop has 24 pounds of fudge, 36 pounds of nuts, and 144 pounds if lollipops.• The Sweet Shop will ship out boxes containing all 3 items.• Each box will have the same amount of fudge, the same amount of nuts, and the same amount of lollipops.What is the maximum number of boxes the Sweet Shop can ship out?

Given:

For 12 hours of work, david made $168.

To find the required time to make $238.

Since, it is in direct proportion.

We can write it as,

Hence, the required time to make $238 is 17 hours.

Answer: 166.72 \(ft^{2}\)

Step-by-step explanation: math

Step-by-step explanation:

All you have to do here is use the surface area, or SA, equation.

Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)

Sa=54.4+81.6+30.72

Sa=166.72

Hope this helped!

Answer:

Step-by-step explanation:

If the sample test exists 1079 then the value of the test statistics exists -7.88.

A statistical test's result, or test statistic, is a numerical value. It describes how distant the observed data is from the null hypothesis, which states that there is no link between the variables or distinction between the sample groups.

The test statistic indicates how dissimilar two or more groups are from the population mean as a whole or how different a linear slope is from the slope implied by the null hypothesis. Various statistical tests employ various test statistics.

Given:

Sample size, n = 1079

Probability of success, p = 0 . 86

The hypotheses are:

\(&H_0\) : p = 0.94

\(&H_a\) : p < 0.94

where:

\($\hat{p}\) = proportion of the sample

p = proportion of the population

n = sample size

The values of the variables exists:

\(&\hat{p}\) = 86 % = 0.86

p = 94 % = 0.94

n = 1074

Substitute the values into the formula and solve for the test statistics:

\($z &=\frac{0.86-0.94}{\sqrt{\frac{0.93(1-0.94)}{1079}}} \\\)

simplifying the above equation, we get

\($z=\frac{-0.08}{\sqrt{\frac{0.93(1-0.94)}{1079}}}$\)

z = -11.12457

Therefore, the value of the test statistics is -7.88.

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Answer: 4

Step-by-step explanation: because he needs to divided by 2

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

Answer:

C. multiplication property of equality

Step-by-step explanation:

Claire is multiplying by 4 on both sides of the equation. This is an example of the multiplication property.

Domain is x values of the set and range is y values of the set.

What is domain and range?

Domain is the set of all first numbers of the ordered pairs in a relation and range is the set of second numbers of the ordered pair in relation.

The domain is the set of independent values, meaning the set of x-coordinates of the ordered pair as x is an independent variable.

The range is set of dependent values, meaning the set of y-coordinates of the ordered pair as y is an independent variable.

For example- we have a set

(1,2) (0,6) (2,3) (4,5)

Domain = {1,0,2,4}

Range = {2,0,3,5}

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The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

Answer:

1 + 3 + 5 + A+9 divide by 5​

Step-by-step explanation:

Answer:

there is not a common factor

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to a recent article the average number of babies born with significant hearing loss (deafness) is approximately two per 1,000 babies in a healthy baby nursery. The number climbs to an average of 30 per 1,000 babies in an intensive care nursery.

The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

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Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

They spend about three hours a day online

Answer:

-8

Step-by-step explanation:     y = 2(x +2)  so...  ( 2x 2) = 4 while 2 - x 2 = 8

Answer:

first one.

Step-by-step explanation:

y=2(x+2).

.....

Step-by-step explanation:

The circumference of a WHOLE circle = pi * d

   you have 1/2 of this  and d = 10 ft

     so   1/2 pi * 10      PLUS the two straight sides + 8+6

       1/2 pi * 10   + 8 + 6

         5 pi + 8 + 6

        5 * 3.14   + 14 = 29.7 ft

Answer:

Step-by-step explanation:

125x37=4625

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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Answer:

x = 1, y = 60 or (1, 60)

Step-by-step explanation:

Given the quadratic function, f(x) = -60x² + 120x, which models a reverse bungee jump. If we graph this given quadratic function, then it will show a downward-facing parabola whose vertex is the maximum point on the graph.

We can determine the maximum height of the given quadratic function by using the formula to find the x-coordinate of the vertex:

\(\displaystyle\mathsf{x\:=\frac{-b}{2a}}\)

From the given quadratic function: f(x) = -60x² + 120x, where a = -60, b = 120, and c = 0:

Substitute the given values for a and b into the formula for finding the x-coordinate value of the vertex:

\(\displaystyle\mathsf{x\:=\frac{-b}{2a}\:=\:\frac{-120}{2(-60)}\:=\frac{-120}{-120}\:=1}\)

Now that we have the value for the x-coordinate of the vertex, x = 1, substitute this value into the given quadratic function to find its corresponding y-coordinate:

f(x) = -60x² + 120x

f( 1 ) = -60( 1 )² + 120( 1 )

f( 1 ) = -60 + 120

f( 1 ) = 60

Thus, the y-coordinate of the vertex is f(x) = 60.

Therefore, the maximum height of the reverse bungee jump is x = 1, y = 60 or (1, 60).  

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Explanation

We are given the following vectors:

We are to determine the dot product of these vectors, i.e. t·u

We are to note that:

Therefore, the dot product of the vectors can be achieved as:

Hence, the answer is -32.

The horizontal distance from the point where it was launched is 7.143.

We have given that,

The path of the marshmallow can be modeled by the quadratic y=−0.07x^2+x+2.2,

x represents the horizontal distance from the point it is launched, in feet.

Horizontal distance means the distance between two points measured at a zero percent slope.

(1) Put x = 7.143 in given equation

y= -0.07(7.143)^2+7.143+2.2

y= 2.2

y= 5.771

We have to determine the what is its horizontal distance from the point where it was launched.

The value of x is called horizontal distance.

Therefore the horizontal distance from the point where it was launched is 7.143.

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Answer:

Mx+b=y

Step-by-step explanation:

Answer:

i think she would need about 78 inches of wapping paper

Step-by-step explanation:

Answer:

2.13m

Step-by-step explanation:

8.52 divided by 4 is 2.13 and you have to add the m for meters

The value of (fog)(x)  is given as  f(g(x)) = √2x - 2

and the domain is defined as x≥1.

According to the question we have been given two function f(x) and g(x) defined as :

      f(x) = √x-2   and  g(x) = 2x

We need to find the value of (fog)(x).

(fog)(x) is also equal to f(g(x)). To solve this value we have to first replace x by g(x) in the f(x) function we get

     f(g(x)) = √g(x) - 2

Now we will put the value of g(x) in the above function we get

     f(g(x)) = √2x - 2

Hence the value of (fog)(x)  is given as  f(g(x)) = √2x - 2

and the domain is defined as x≥1.

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Answer:

8d-8

Step-by-step explanation:

Answer: 8d-8

Step-by-step explanation: add the 3d and 5d which is 8d then the outcast (8) is by itself so 8d-8 is final answer sorry if i didn't help I´m very bad when it comes to explaining.