To ride a roller coaster, a visitor must not be less than 60 inches tall.

Use h to represent the height (in inches) of a visitor able to ride

I am getting stuck on the not be less than. Would it be greater than or less than?

Answer:

15 minutes

Step-by-step explanation:

Divide 12 yards by 4/5 yards.

12 ÷ 4/5 =

12 * 5/4 =

15

Thus, it would take the ant 15 minutes to crawl 12 yards.

The measure of the angle ABD for the given angle bisector is found as 40°.

For the given question;

BD is an angle bisector

Thus, both angles will be equal.

3x + 25 = 7x + 5

Solve the relation.

4x = 20

x = 5

The measure of angle ABD = 3x + 25

angle ABD = 3×5 + 25

angle ABD = 15 + 25 = 40

Thus, the measure of the angle  ABD for the given angle bisector is found as 40°.

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The Inequality which ensure triangle exists is 22 > 4x > 7.

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

.

Substitute the value in the inequality to ensure triangle exists we get 4x > 7 and 22 > 4x.

From (1) and (2) inequality of triangle we get 22 > 4x > 7.

Hence, Inequality which ensure triangle exists is 22 > 4x > 7.

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Which inequality represents the values of that ensure triangle exists? a triangle with these side lengths: AC = 18 units, BC = 6x units, and AB = 2x + 4 units

Answer:

29/6 = 4.83.. or 4.8

Work done can be defined simply as the force times distance covered.

To find work, use the equation:

Work = Force x distance

Force is in Newtons

Distance is in meters

The unit of work is Joule.

Another method to find work is:

W = F cos θ⋅ d

F = force

d = displacement

Here, the force is extended to the direction of motion at angle θ.

Answer:

I will list main feature for each property and you can choose. You can comment if you want to check or have questions

Step-by-step explanation:

Isosceles - two sides are equal

Equilateral - all sides are equal

Obtuse - one angle is greater than 90 degrees

Right - one angle is equal to 90 degrees

Scalene - none of the sides is equal

Acute - all angles are less than 90 degrees

Go down the list and see if it's true or false about the given triangle

When h=-17  is b in the plane spanned by a1 and a2.

For the plane spanned by a1 and a2, y is a linear combination of a1 and a2 if it is in the plane,

y = a a1 + b a2

where a and b are constants,

[4,1,h] = a[1,4,-2] + b[-2,-3,7]

[4,1,h] = [a - 2b,4a -3b,-2a+ 7b]

by the rules of vector addition and multiplication.

Vectors are equal if their components are equal:

4 = a - 2b

1 = 4a - 3b

h = -2a + 7b

solve for a and b from the first two equations so that we can find h,

b = -3

h = -17

We see that -2[1,4,-2] - 3[-2,-3,7] = [4,1,-17].

so ,the value of  h=-17  is b in the plane spanned by a1 and a2.

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Answer:

7 4/100

Step-by-step explanation:

\( \green {\boxed{Answer}}\)

\( = 704\%\)

\( = \frac{704}{100} \)

\( = \frac{704 \div 4}{100 \div 4} \)

\( = \frac{176}{25} \)

\( = 7 \frac{1}{25} \)

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Answer:

jimmy took 2 1/4 hours

Step-by-step explanation:

just add both fractions

(3/2) + (3/4) = 9/4 = 2 1/4 hours

Step-by-step explanation:

We need to add 3/4 of an hour to Alan's time.

Let's put Alan's time into a pure fraction.

\(1\frac{1}{2} = \frac{2}{2}\frac{1}{2} = \frac{3}{2}\)

Now we can add 3/4 to 3/2.

First, we need to find a common denominator (the bottom number).

4 and 2 is easy. The common denominator is 4. So let's solve it.

\(\frac{3}{2} * \frac{2}{2} = \frac{6}{4}\)

\(\frac{6}{4} + \frac{3}{4} = \frac{6+3}{4}\)

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

B. experimental probability

Step-by-step explanation:

It wasn't A because the coin was flipped making it an experiment.

Option C is just wrong.

So that leaves you with option B as your answer.

Hope this helps.

The volume of the rectangular inflatable swimming pool is approximately 171.5 cubic yards.Therefore, the correct answer is D. 22.0 yd3

The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length is 24.5 yards, the width is 2 yards, and the height is 3.5 yards.

Volume = Length × Width × Height = L×W×H

Plugging in the given values, we have:

Volume = 24.5 yards × 2 yards × 3.5 yards

V = 24.5 × 2× 3.5

Simplifying the calculation, we find:

Volume = 171.5 cubic yards

Rounding to the nearest tenth, the volume of the rectangular inflatable swimming pool is approximately 171.5 cubic yards.

Therefore, the correct answer is D. 22.0 yd3.

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Answer:

D

Step-by-step explanation:

Mathematically;

the exterior angle is the sum of the two remote interior angles

Thus;

x + 2x-5 = 133

3x-5 = 133

3x = 133 + 5

3x = 138

x = 138/3

x = 46

The algebraic proof for the given statement. (A − B) ∪ (A ∩ B) = A

we will use the below conditions

Let A and B be the two sets

Distributive property:-

i) A U (B ∩ C) =( AUB)∩(AUC)

ii) A ∩ (BUC) = (A ∩ B) U (A ∩ C)

we will use another condition also iii)  A-B =A ∩ B¹

now Given (A − B) ∪ (A ∩ B) = (A ∩ B¹) ∪ (A ∩ B) ( from (iii)

                                            = A ∩ (BUB¹)   ( from (ii)

                                            = A ∩ U

                                            = A

(A − B) ∪ (A ∩ B) = A

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Answer:

x=13

Step-by-step explanation:

Let's start by substituting the right-hand side of the equation into the left-hand side:

What does the math equation mean?

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.

4y - 3 = 4(y + 1)

4y - 3 = 4y + 4

Now, we can isolate y by subtracting 4y from both sides:

0 = y + 4

-4 = y

So, there is a solution to the equation: y = -4. This means that Dawson is incorrect in saying that the equation has no solution.

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The correct function type for each situation:

1) A competition eliminates one-fourth of the participants per round. -  exponential

2) A pizzeria charges a base price for pizza and then $1.50 for each additional topping. -  linear

3) A tutor charges $40 per hour of tutoring. -  linear  

4) An animal population doubles every 3 months. - exponential

5) An electrician charges $125 per house call and then $65 per hour of work. -  linear

We know  that, in order to determine whether fundtion is linear or exponential we chaeck the relationships in the way the y-values change when the x-values increase by a constant amount:

In case of a linear function, the y-values have equal differences.

And in an exponential function, the y-values have equal ratios.

1) A competition eliminates one-fourth of the participants per round.  

This is an exponential function.

2) A pizzeria charges a base price for pizza and then $1.50 for each additional topping.

This situation could be modeled with a linear function.

3) A tutor charges $40 per hour of tutoring.

This situation could be modeled with a linear function.

4) An animal population doubles every 3 months.

This situation could be modeled with an exponential function.

5) An electrician charges $125 per house call and then $65 per hour of work.

This situation could be modeled with a linear function.

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Find the complete question below.

The equation of the path to find the dimensions of the patio is x² + (x + 5)² = 841.

Here we have to find the equation of the dimensions of the patio.

Data provided:

the path = 29 meters

length of the path is 5 meters more than the width of the path.

So let us assume that the length of the path is x

with this, the width of the path is x + 5

The formula for the diagonal:

Diagonal²  = length² + width²

Putting the data we have:

29² = x² + (x +5)²

841 = x² + (x+5)²

Therefore we get the equation as x² +(x + 5)² = 841.

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Answer:

4:4:4

Step-by-step explanation:

1/3 of the beet was replaced with wheat => 6 x 1/3 = 2

The new ratio will be 4 : (2+2) : (6-2) = 4:4:4

Answer: The speed of light is approximately 890,000 times faster than the speed of sound.

Step-by-step explanation: To find how many times faster the speed of light is compared to the speed of sound, we can divide the speed of light by the speed of sound:

9.79 x 10^8 feet per second / 1.1 x 10^3 feet per second = 8.9 x 10^5

Rounding to the nearest whole number, we get that the speed of light is approximately 890,000 times faster than the speed of sound.

Hope this helps, and have a great day!

The unit of measurement after standardization of a left-skewed data set of hummingbirds' beaks lengths would be "standard deviations above the mean".

To answer your question, after standardizing the lengths of hummingbirds' beaks in a left-skewed data set, the best unit of measurement to describe their lengths would be "standard deviations above the mean."

This is because standardization involves subtracting the mean of the data set from each value and dividing the result by the standard deviation. This process results in a new set of values that are expressed in terms of standard deviations from the mean. Therefore, the unit of measurement is no longer in millimeters or any other physical unit, but in standardized units.
Standardizing the data allows for easier comparison by converting the original measurements to units of standard deviations from the mean.

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The probability of selecting two orange markers is 2/6 * 1/5 = 1/15.

What is non-replacement event?

Components that have not been altered typically have content that is present within the document, whereas elements that have been replaced typically have content that is present outside of the document.

Given that there are 3 green, 1 purple, and 2 orange markers.

Total number of markers is (3 + 1 + 2) = 6.

The probability of an event is the ratio of the number of outcomes of a favorable event to the total number of outcomes.

The probability that the first marker is orange is 2/6 = 1/3.

After picking the number of markers that left is (6 - 1) = 5.

The number of orange marker that left is 2 - 1 = 1.

The probability that the second marker is orange is 1/5.

The probability of selecting two orange markers is (1/3) × ( 1/5) = 1/15.

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Answer:

B. \(y=2x-4\)

Step-by-step explanation:

The equation of the line with slope \(m\) passing through \((x_1, y_1)\) is \(y-y_1=m(x-x_1)\).

\(y+2=2(x-1) \\ \\ y+2=2x-2 \\ \\ y=2x-4\)

Answer:calculate the cube root of a cube's volume.

Step-by-step explanation:

Step-by-step explanation:

what is the formula for the area of a triangle ? hmm ?

area = baseline × height / 2

in our case (it does not matter for this question, if it is an isoceles triangle or not, the formula applies to all)

area = sqrt(5) × 1 / 2 = sqrt(5)/2 cm² = 1.118033989... cm²

Answer:

\(\huge\boxed{\sf Area = 1.12 \ cm^2}\)

Step-by-step explanation:

Height = h = 1 cm

Base = b = √5 cm

Area = A = ?

\(\displaystyle Area = \frac{1}{2}(b)(h)\)

\(\displaystyle Area = \frac{1}{2} (\sqrt{5} )(1)\\\\Area = \frac{\sqrt{5} }{2} \\\\Area = 1.12 \ cm^2\\\\\rule[225]{225}{2}\)

The value of h in the function g(x) = (2.5)x - h is -6, not -2025. The answer is -6.

Given that the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.

On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.5) and crosses the y-axis at (0, 1). g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1.

It goes through (negative 2, 1) and crosses the y-axis at (0, 6). We are supposed to find the value of h. Let's determine the initial value of the function g(x) = (2.5)x–h using the y-intercept.

The y-intercept for g(x) is (0,6). Therefore, 6 = 2.5(0) - h6 = -h ⇒ h = -6

Now, we have determined that the value of h is -6, therefore the answer is –2025.

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Step-by-step explanation:

(5/4_3/4)×(_2/27)÷_4

5_3/4

1/4×_2/27÷_4

1/54÷4

=0.004629