3
The students in the Park City schools sold raffle tickets for their district.
• The elementary school students sold 2 thousand raffle tickets
The middle school students sold 9 hundred raffle tickets.
The high school students sold 10 times as many raffle tickets as did students in the elementary and
middle schools combined.
How many raffle tickets did the students in the high school sell?

Answer:

540 feet 5 feet

Step-by-step explanation:

they're both feet, it cant be a rate.

Answer:

2

Step-by-step explanation:

this might be the rong answer

The only critical number for the function f(t) = \(7t^{2/3} -5t^{5/3}\)is t = 1

Thus, the critical number for the function is 1.

To find the critical numbers of the function f(t) = \(7t^{2/3} -5t^{5/3}\), we need to find the values of t for which the derivative of f(t) is equal to zero or undefined. The derivative of \( f(t) \) can be found using the power rule of differentiation:

f'(t) = d/dt \(7t^{2/3} -5t^{5/3}\)

Applying the power rule, we have:

f'(t) = 2/3. 7\(t^{-1/3}\) - 5/3. \(5t^{2/3-1}\)

Simplifying further:

f'(t) = 14/3 \(t^{-1/3}\) - 25/3 \(t^{-1/3}\)

Combining the terms:

f'(t) = (14-25)/3 \(t^{-1/3}\)

Simplifying the coefficient:

f'(t) = -11/3\(t^{-1/3}\)

To find the critical numbers, we set the derivative equal to zero:

-11/3 \(t^{-1/3}\)= 0

Dividing both sides by -11/3, we get:

\(t^{-1/3}\) = 0

Since a non-zero number raised to the power of 0 is always 1, we have:

\(t^{-1/3}\) = 1

Taking the cube of both sides to eliminate the negative exponent:

t = 1³

Therefore, the only critical number for the function f(t) = \(7t^{2/3} -5t^{5/3}\)is t = 1

Thus, the critical number for the function is 1.

Learn more about critical number here:

https://brainly.com/question/31339061

#SPJ11

If we compute the operations in each side, we can see that on the left side 0.14+0.14+0.14 is the same as 3 times 0.14, so 3 x 0.14

This means that the expressions are equal to each other:

Answer:

\(\boxed {t = -1}\)

Step-by-step explanation:

Solve for the value of \(t\):

\(5t + 16 = 6 - 5t\)

-Take \(5t\) and add to \(5t\):

\(5t + 16 + 5t = 6 - 5t + 5t\)

\(10t + 16 = 6\)

-Subtract \(16\) to both sides:

\(10t + 16 - 16 = 6 - 16\)

\(10t = -10\)

-Divide both sides by \(10\):

\(\frac{10t}{10} = \frac{-10}{10}\)

\(\boxed {t = -1}\)

So, the value of \(t\) is \(-1\).

Answer:

15.50$

Step-by-step explanation:

7.5+8= 15.5

answer: A dilation changes the dimensions of a figure, while an isometric transformation preserves dimensions.

Answer:

b. - A dilation changes the dimensions of a figure, while an isometric transformation preserves dimensions

Step-by-step explanation:

The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

Learn more about correlation here:

https://brainly.com/question/30116167

#SPJ11

Answer:

70

Step-by-step explanation:

Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

Learn more about ANOVA test here: https://brainly.com/question/30457832

#SPJ11

The probability of winning the top prize in the Pennsylvania Cash 5 lottery is: (43! / (5! * 38!)) / (43! / (5! * 38!)) = 1/C(43,5) = 1/69,096.

Probability is a measure of how likely an event is to occur. In the case of the Pennsylvania Cash 5 lottery, we can use probability to determine the chances of winning the top prize.

To win the top prize in the Pennsylvania Cash 5 lottery, a player must select the correct five different numbers between 1 and 43 (in any order). To calculate the probability of this happening, we use the formula: probability = (number of favorable outcomes) / (number of total outcomes).

The number of favorable outcomes is the number of ways that the five correct numbers can be selected from the 43 available numbers. Since the order of the numbers does not matter, this is known as a combination, and the formula for finding the number of combinations is: C(n,r) = n! / (r! * (n-r)!), where n is the total number of options (43) and r is the number of options to choose (5). This simplifies to 43! / (5! * 38!).

The number of total outcomes is the number of ways that any five numbers can be selected from the 43 available numbers, which is also a combination and can be calculated using the same formula: C(43,5) = 43! / (5! * 38!).

For more such questions on Probability.

https://brainly.com/question/30034780#

#SPJ11

Answer:

\(\frac{31}{12}\)

Step-by-step explanation:

Convert 5 1/6 to an improper fraction

\(\frac{31}{6}\)

The word "of" means times or multiplies so

\(\frac{31}{6}\) x \(\frac{1}{2}\) = \(\frac{31}{12}\)

Therefore the answer is \(\frac{31}{12}\)

Answer:

Step-by-step explanation:

Note that any line parallel to the given line will have the same slope as the line given.

Given the equation of the line expressed as x - 3y =-27

Rewrite in standard form y = mx+c where m is the slope

x - 3y =-27

-3y = -x -27

Multiply  through by -11

3y = x+27

Divide through by 3

y = 1/3 x + 9

Since the slope of the line is 1/3, hence the slope of a line parallel to the line is also 1/3

Answer:6

Step-by-step explanation:

4(2)^4 − 2(7)^2 + 40

4(16)-2(7)^2+40

64-2(49)+40

64-98+40

-34+40

6

Answer:

6

Step-by-step explanation:

4a^4 - 2b^2 + 40

Put a = 2 and b = 7

4(2)^4 - 2(7)^2 + 40

Solve the powers first.

4(16) - 2(49) + 40

Multiply.

64 - 98 + 40

Add and subtract.

= 6

Answer:  

Exact form: 3/5

Decimal form: 1.6

Mixed number form: 1_ 2/3

Answer:

12.56

Step-by-step explanation:

the equation for a circumference is C=2pi r

C=2*3.14*2

2*3.14=6.28

6.28*2=12.56

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

For the standardized dataset , the value of median = mean , which is equal to 7

The mean of the close friends people have = 7

The variance = 100

Standard deviation can be found using the formula

                   v = σ²

where  v is the variance and

            σ is the standard deviation

Then ,                  σ² = 100

                            σ  = √100

                            σ  = 10

Therefore , the standard deviation for the close friends have is 10

The standard score for these vales can be found using the formula

                         Z = (X - μ) / σ

where Z is the standard score

           X is the raw score

           μ is the mean

           σ is the standard deviation

Using this formula, the standard score of any raw score can be calculated.

For, the standardized dataset , the value of median will be equal to value of median.

                           Median = mean

                           Median = 7

Learn more about the normal distribution in

https://brainly.com/question/15103234

#SPJ4

Length of arc EG = 5.446 degrees and EG = 0.05446 degrees while written in hundredth.

Arc length is defined as the distance of two points along the boundary of a circle or a section of a curve. Arc length is not a straight line.

Arc length is calculated by the following formula.

arc length in radians

s = r Ф

where, r is radius of circle or curve

Ф is the central angle in radians

arc length is degrees

s = Ф×π/180 × r

r is the radius of circle

Ф is the central angle in degrees

π = 3.142

given, central angle EFG = 78 degrees.

EF = 4 units

EF is the radius of the given circle

as per the rules of a circle FG is also a radius

FG = FE = 4 units

Now arc length EG = ∠EFG × π/180 × EF

  Arc length = 78 × 3.142/180 × 4

                    =5.446 units

hence, arc length EG = 5.446 units or 5.446 degrees

To know more about arc length of circle visit:

https://brainly.com/question/45288

#SPJ1

The area of the sector with a central angle of 60 degree and radius of 8 units is approximately 33.5 sqaure units.

A sector of a circle is simply part of a circle made up of an arc and two radii.

The area of a sector of a circle can be expressed as:

Area = (θ/360º) × πr²

Where θ is the sector angle in degrees, and r is the radius of the circle.

From the image:

Measure of central angle θ = 60 degrees

Radius r = 8 units

Plug these values into the above formula and solve for the area:

Area = (θ/360º) × πr²

Area = (60°/360°) × π × 8²

Area = 1/6 × π × 64

Area = 1/6 × π × 64

Area = 33.5 sqaure units.

Therefore, the area is approximately 33.5 sqaure units.

Learn more about area of sector here: brainly.com/question/7512468

#SPJ1

The following equations represents all the solutions (x, y) to the system of the equation is y=x²−x−5

The definition of an equation in algebra is a mathematical statement that proves that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

An equation is a mathematical statement that states that two amounts or values are equal, for as 6 x 4=12x2. An equation is a scenario in which two or more pieces must be considered together in order to understand or describe the total situation.

The given equations are:

y=x−2

y=x²−x−5

Let us take the second equation.

y=x²−x−5

x-2=x²−x−5

x²−2x-3=0

x²-3x+x-3=0

x(x-3)+1(x-3)=0

x-3=0, x+1=0

x=3, x=-1

To know more about equation, visit:

https://brainly.com/question/10413253

#SPJ4

Answer: 160

Step-by-step explanation:

first workout the multiplication sums [22 x 28 = 616]

[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]

then divide the answer by 2 [1160 / 2 = 160

Answer:

i think it is 5x-6=65

Step-by-step explanation:

My explanation is that a quadratic equation is a set of terms of the form (in general): ax2+bx+c=0. A quadratic function is one where the right-hand constant (call it f) is allowed to vary with x, thus giving: f(x)=ax2+bc+c.

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8. Therefore, the correct options are B. 10 and E. 8.

To determine the possible values for the length of the third side of the triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given sides of lengths 5 and 13, we can check which values satisfy the triangle inequality:

The sum of the lengths of the two sides must be greater than the length of the third side:

5 + 13 > Third side

18 > Third side

Now let's check each given value:

A. 2: Not possible, since 18 > 2 does not hold true.

B. 10: Possible, since 18 > 10 holds true.

C. 24: Not possible, since 18 > 24 does not hold true.

D. 5: Not possible, since the given length is already one of the sides.

E. 8: Possible, since 18 > 8 holds true.

F. 19: Possible, since 18 > 19 does not hold true.

Based on the calculations, the values that could be the length of the third side are B. 10 and E. 8.

Therefore, the correct options are B. 10 and E. 8.

for such more question on lengths

https://brainly.com/question/20339811

#SPJ11