Sally is planning the school picnic and needs to decide what food vendor to use. She asks 800 students whether they would rather have a taco truck or a fruit smoothie cart. The results of the survey are shown in the table.What is the relative frequency of eighth graders who want fruit smoothies?A. 0.15B. 0.30C. 0.44D. 0.19

Answer:

48

Step-by-step explanation:

6(miles per day) * 8(days) = 48

If you  deposit $5,000 in a savings account and will earn 6. 5% simple interest over the first 10 years, then will earn $3,250 in interest over the 10-year period

Simple interest is a type of interest that is calculated only on the principal amount of an investment, and not on any interest that has been earned previously. It is typically expressed as a percentage of the principal amount and is applied over a fixed period of time.

To calculate the interest earned on the account over the 10-year period, we can use the formula for simple interest:

Interest = Principal x Rate x Time

Here, the principal is $5,000, the interest rate is 6.5%, and the time is 10 years.

Plugging in the values, we get:

Interest = $5,000 x 0.065 x 10

Interest = $3,250

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The given question is incomplete, the complete question is:

Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6.5% simple interest over the first 10 years. How much interest will the account earn over this period?

Answer:

40 degrees!

Step-by-step explanation:

95 + 45 = 140

180 - 140 = 40

Answer:

4+4+4+12+5+5=34

Step-by-step explanation:

Answer:

in my opinion which maybe 34cm

Step-by-step explanation:

4 + 4 + 4 + 5 + 5 + 12 cm equals to 34 CM

Answer:

A

Step-by-step explanation:

A triangle has 180 degrees.

So, 10 + 145 + x = 180

x = 25

This means that the angles in the triangle are:

10, 145, and 25

Using this information, only A has the same values so it is the answer

The output when m1(5) is called will be 10. The recursive calls continue until the base case of a = 1 is reached, and at that point, the method returns the value of 10.

The method, m1, is a recursive method that takes an integer parameter 'a'.

When m1(5) is called:

1. The condition (a == 1) is false, so the method moves to the 'else' block.

2. It calls m1(a - 1), which means it calls m1(4).

3. The same process repeats with m1(4), m1(3), m1(2), and finally m1(1).

4. When m1(1) is called, the condition (a == 1) is true, so the method returns 10.

5. The return value of 10 is then propagated back through each recursive call.

Therefore, the output when m1(5) is called will be 10.

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Steps:

Step 1: Simplify both sides of the equation.

1 /5x+1=7

Step 2: Subtract 1 from both sides.

1/5x+1−1=7−1

1/5x=6

Step 3: Multiply both sides by 5.

5*(1/5x)=(5)*(6)

Description:

Since we are solving for x first steps is to Simplify both sides of the equation. Then subtract 1 from both sides. After that multiply both sides by 5 and you will get your answer. The correct answer for this question is x=30.

Answer: x=30

Please mark brainliest

Hope this helps.

The value of x from the given equation is 30.

The given equation is x/5 +1=7.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, x/5 +1=7

Transpose 1 to other side of the equation, we get

x/5 =7-1

x/5 = 6

Transpose 5 to other side of the equation, we get

x = 6×5

x = 30

Therefore, the value of x from the given equation is 30.

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Answer:

\(\theta = 0, \frac{\pi}{2}, \pi,...\)

Step-by-step explanation:

\(sin\theta + cos \theta = 1 \\\\squaring both the sides\\\\sin^{2}\theta + cos^{2}\theta+2 sin\theta cos\theta = 1 \\\\2sin\theta cos\theta = 0 \\\\sin2\theta = 0\\\\2\theta = 0, \pi, 2 \pi,....\\\\\theta = 0, \frac{\pi}{2}, \pi,...\)

This is the correct solution.

Answer:Arc Length = 40

Step-by-step explanation:

Answer:d≈5.2cm

Step-by-step explanation:

d=3a=3·3≈5.19615cm

ANSWER

22.4 feet

EXPLANATION

The area of a rectangle is the product of its length and width,

We know that the area of this rectangle is 8w+18,

Divide both sides by w to solve for l,

We have to solve this for w = 1.25 ft,

Hence, the length of the rectangle is 22.4 feet.

Answer:

x = 52y

Step-by-step explanation:

The probability is approximately 0.9429. Rounded to four decimal places, the probability is 0.9429. Therefore, the probability that the sample mean would be less than 107.81 liters is about 0.9429 or 94.29%.

To solve this problem, we can use the central limit theorem, which states that the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

First, we need to calculate the standard error of the mean, which is the standard deviation of the sampling distribution of the mean:

standard error = standard deviation / square root of sample size
standard error = 26 / sqrt(220)
standard error ≈ 1.756

Next, we can standardize the sample mean using the formula for z-scores:

z = (sample mean - population mean) / standard error
z = (107.81 - 105) / 1.756
z ≈ 1.574

Finally, we can use a standard normal distribution table or calculator to find the probability of getting a z-score less than 1.574.

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Answer:

1b 2a 3c

Step-by-step explanation:

Its hegarty right?

Answer:

Five greater than a number,the result is multiplied by 18

The verbal expression for 18(p + 5) is eighteen times the quantity obtained by adding five to a number p.

The verbal expression for the algebraic expression 18(p + 5) can be described as "Eighteen times the quantity obtained by adding five to a value represented by 'p'." This expression represents a mathematical operation where a given value 'p' is increased by five, and then the result is multiplied by eighteen. This type of expression is commonly encountered in various real-world situations where a value needs to be adjusted and then scaled up by a certain factor. In this case, the result reflects the outcome of multiplying the adjusted value by eighteen.

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Answer:

The simplified answer to the given equation is 6√2

Step-by-step explanation:

First, we must simplify the radicals in the equation.

√2 = 1.414213562

∛2 = 1.25992105

Now, we divide these numbers. You can divide it this way or you can divide it using a calculator.

√2 ÷ ∛2 = 1.122462048

Now, let;s look at our answer choices. We can immediately cross out A because 1/4 equals 0.25. Let's look at the others.

6√2 = 1.22462048

So, our answer here is answer choice B.

Answer: 10

Step-by-step explanation:

6-5 = 1

-2 x 1 = -2

-2 x -5 = 10

The relation displayed in the table is

The relation in the table is compared by identifying how a coordinate point are expressed as ordered pair and how they are expressed as a table

For instance, say (b, c) is represented in a table as

x    y

a    b

Using this instance and writing out the values in the table we have

(3, 3), (-1, 1), (2, -2), and (-3, 2)

This is similar to option B making option B the appropriate option

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Answer:

A strong linear relationship between two or more independent variables

Step-by-step explanation:

Multicolinearity underestimates the statistical significance of the independent variables. It exists when an independent variable is highly correlated with one or many other independent variables giving rise to a large standard error.

Answer:

1/3

Step-by-step explanation:

What, so he doesn't have the Red Sox?

Jkjk, so anyway let's get back to the problem.

There is a total of 12 socks.

There are 4 gray socks.

4/12=1/3

1/3 probability

A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Answer:

g(h(-8)) = 119

Step-by-step explanation:

Given

To determine

In order to determine g(h(-8)), we need to determine h(-8) first

substituting x = -8 in h(x)=x²-2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so

g(h(-8)) = g(62)

now substituting x = 62 in g(x)=2x-5

g(62)=2(62)-5

g(62) = 124 - 5

g(62) = 119

so

g(h(-8)) = g(62) = 119

Therefore,

Answer:

Step-by-step explanation:

The length of the course is 480 m.

Length is used to measure distance. According to the International System of Quantities, length has the dimension of distance. In most measurement systems, length is represented by a base unit from which all other units are derived. The International System of Units (SI) system's fundamental unit of length is the meter.

From the given figure we can infer that W is the mid-point of AB. Therefore we know that AW = WB

Now the distance is given by

5x -110 = 2x +100

or, 5x - 2x = 100 + 110

or, 3x = 210

or, x = 70

Therefore total length = 5x -110 + 2x +100 = 7x - 10 = 490 - 10 = 480 m

Therefore the length is 480 m.

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The cost of the croissant before the increase was $0.60 and the cost of the cup of coffee was $1.65.

Let's assume the original price of a croissant is C dollars, the original price of a cup of coffee is F dollars, and the original price of a fruit bowl is B dollars.

From the given information, we can set up the following equations:

C + F + B = 5.25 (equation 1) - Total cost of the three items before the increase is $5.25.

1.25C + 1.4F + B = 4.80 (equation 2) - Total cost of the three items after the increase is $4.80.

B = 3C (equation 3) - The cost of a fruit bowl is 3 times the cost of a croissant.

Now, let's solve the equations:

Substituting equation 3 into equation 1, we get:

C + F + 3C = 5.25

4C + F = 5.25 (equation 4)

Substituting equation 3 into equation 2, we get:

1.25C + 1.4F + 3C = 4.80

4.25C + 1.4F = 4.80 (equation 5)

We now have a system of two equations (equations 4 and 5) with two variables (C and F). Solving this system of equations will give us the values of C and F, which represent the original costs of the croissant and the cup of coffee, respectively.

By solving equations 4 and 5 simultaneously, we can find that C ≈ 0.60 and F ≈ 1.65.

Therefore, the cost of the croissant before the increase was approximately $0.60 and the cost of the cup of coffee was approximately $1.65.

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Answer:

The answer is 494.40 for the first question and then the second answer is 395.52

Step-by-step explanation:

Answer:

$494.40

Step-by-step explanation:

618 x 20% or .2 = $123.60.

$618 - $123.60= $494.40.

Hope this helps!

15 more than the sum of 5 and a number a, when translated into a mathematical expression will become b. (5 + n) + 15.

An algebraic expression is a mathematical expression that can contain numbers, variables, and operations.

An algebraic expression can represent a specific value for a given value of the variable, and can be used to describe mathematical relationships and solve equations.

Algebraic expressions can be simplified, added, subtracted, multiplied and divided.

Algebraic expressions can also be represented in different forms, such as polynomials, rational expressions, exponential expressions and logarithmic expressions.

"15 more than the sum of 5 and a number a" can be represented algebraically as:

15 + (5 + a)

or

(5 + a) + 15

which can also be simplified as

a + 20

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The shortest distance ladder that will reach from the ground, over the fence (4 ft tall) to the wall of the building (2 ft away) is 8.04 ft long.

The first step is to calculate the total height that needs to be reached by the ladder. The height of the fence (4 ft) is added to the distance between the fence and the wall of the building (2 ft). This gives a total height of 6 ft.Next, the length of the ladder is calculated using the Pythagorean theorem, which states that a2 + b2 = c2. The equation is rearranged to solve for c, the length of the ladder. In this case, a is equal to the height (6 ft) and b is equal to half the height (3 ft). This gives a result of c = 8.24 ft. This result is rounded to the nearest hundredth, giving a final result of 8.04 ft.

a2 + b2 = c2

62 + 32 = c2

36 + 9 = c2

45 = c2

√45 = c

c = 6.708 ft (rounded to 8.04 ft)

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Answer:

T=2

Step-by-step explanation:

5x2=10

10+2=12

Could I please have BRAINLIEST.

According to the question The extreme values of the function \(\(f(x, y) = -x^2 - 2y^2\)\) subject to the constraint \(\(x^2 + y^2 - 1 = 0\)\) are both -1 at the points (1, 0) and (-1, 0).

To find the extreme values of the function \(\(f(x, y) = -x^2 - 2y^2\)\) subject to the constraint \(\(g(x, y) = x^2 + y^2 - 1 = 0\)\) using Lagrange multipliers, we set up the following system of equations:

\(\[\nabla f(x, y) &= \lambda \nabla g(x, y) \\g(x, y) &= 0\]\)

Taking the partial derivatives, we have:

\(\[\frac{\partial f}{\partial x} &= -2x \\\frac{\partial f}{\partial y} &= -4y \\\frac{\partial g}{\partial x} &= 2x \\\frac{\partial g}{\partial y} &= 2y\]\)

Applying the first equation, we get:

\(\[-2x &= \lambda (2x) \\-4y &= \lambda (2y)\]\)

Simplifying, we have:

\(\[-2x &= 2\lambda x \\-4y &= 2\lambda y\]\)

From the second equation, we have:

\(\[x^2 + y^2 - 1 = 0\]\)

Solving the first equation for \(\(\lambda\)\) and substituting it into the second equation, we get:

\(\[\lambda = -\frac{1}{2} \quad -4y = -y\]\)

Simplifying, we have:

\(\[y = 0\]\)

Substituting \(\(y = 0\)\) into the equation \(\(x^2 + y^2 - 1 = 0\)\), we get:

\(\[x^2 + 0 - 1 = 0 \quad x^2 = 1 \quad x = \pm 1\]\)

So, we have two critical points: (1, 0) and (-1, 0).

To determine the extreme values, we evaluate the function \(\(f(x, y)\)\) at these points:

\(\[f(1, 0) = -(1)^2 - 2(0)^2 = -1 \quad f(-1, 0) = -(-1)^2 - 2(0)^2 = -1\]\)

Therefore, the extreme values of the function \(\(f(x, y) = -x^2 - 2y^2\)\) subject to the constraint \(\(x^2 + y^2 - 1 = 0\)\) are both -1 at the points (1, 0) and (-1, 0).

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