Diven that 4x^3+x^(5/2) all over √x can be written in the form 4x^a+x^b, write down the value of a and the value of b

Answer:

17.5%

Step-by-step explanation:

We know that there are 35 out of 200 allergic to peanut

So we take

35 divided by 200, then times 100% = 17.5%

So, 17.5  of children are allergic to peanut

Answer:

The correct answer is Option 2:

\(7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n\)

Step-by-step explanation:

Associative property consists of three quantities. Associative property for addition states that the result of adding three numbers will be same no matter what the order of addition is.

Let a,b and c be three numbers

Then associative property can be stated as:

\(a+(b+c) = (a+b)+c\)

Now looking at the options it can be observed that the following choice shows the associative property

\(7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n\)

Hence,

The correct answer is Option 2:

\(7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n\)

Answer:

its B

Step-by-step explanation:

i got it right on Edg

The requreid Miriam's test does not provide significant evidence that the true population mean is less than 18.

Since the sample size is small (n = 7) and the population standard deviation is unknown, we should use a t-test for this hypothesis test.

The test statistic is calculated as follows:

t = (x - μ) / (s / √n)

Given that Miriam's test statistic is t = -1.9, we can estimate the p-value associated with this test statistic. This denotes the probability of observing a test statistic as extreme as -1.9 or more extreme, assuming the null hypothesis is true.

Using a t-distribution table with 6 degrees of freedom (n-1), we find that the p-value for a one-tailed test at the 5% significance level is approximately 0.051.

Since the p-value (0.051) is greater than the significance level (0.05), we fail to reject the null hypothesis. We do not have sufficient evidence to conclude that the population mean is less than 18 at a 5% level of significance.

Thus, Miriam's test does not provide significant evidence that the true population mean is less than 18.

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If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.

To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).

The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:

C = πr = π(10) = 31.4 inches.

The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:

P = 3s = 3(20) = 60 inches

Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:

Perimeter = C + P = 31.4 + 60 = 91.4 inches.

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Complete Question

This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.

You can use 3.14 as an approximation for π. help i don't know it.

Answer:

option 4

Step-by-step explanation:

Given the x- intercepts say x = a, x = b, x - c then the corresponding factors are

(x - a), (x - b), (x - c) and the polynomial is the product of the factors

Here the x- intercepts are x = 3, x = 0, x = - 1, thus the factors are

(x - 3), (x - 0), (x - (- 1) , that is

(x - 3), x and (x + 1) , then

y = ax(x - 3)(x + 1) ← where a is a multiplier

To find a substitute (1, - 8) into the equation

- 8 = a(1 - 3)(1 + 1) = - 4a ( divide both sides by - 4 )

a = 2, thus

y = 2x(x - 3)(x + 1) ← expand factors using FOIL

   = 2x(x² - 2x - 3) ← distribute by 2x

    = 2x³ - 4x² - 6x

Answer:

D) 2x3 – 4x2 – 6x

Step-by-step explanation:

0.8k -0.02 = 4.02

0.8k = 4.04

k = 5.05

The dimensions of a right circular cylinder of maximum volume are

\(5\sqrt{6}\) and \(10\sqrt{3}\).

Given the radius of sphere is 15 cm.

Let's assume radius of right circular cylinder = r

height of right circular cylinder = h.

Since the cylinder is inscribed in the sphere, their centers will coincide. As a result, the height is divided into two equal portions from the sphere's center. Therefore, we can apply Pythagoras' Theorem to get the cylinder's half-height in terms of radius.

\(R^2 = r^2 + (h/2)^2.\)

\(r^2 = R^2 - h^2/4.\)

Volume of cylinder = \(\pi*r^2*h.\)

Now we can substitute value of \(r^2\) in volume of cylinder.

V =  \(\pi*( R^2 - h^2/4)*h\)

taking  R = 15 .

V = \(\pi*(225 - h^2/4)*h\)

V = \(\pi*225*h - \pi*h^3/4\)

For maximum volume we have to do derivative of volume  = 0

derivative with respect to h.

V' = \(\pi*225 - 3*\pi*h^2/4\)

V' = 0

\(\pi*225 - 3*\pi*h^2/4\)= 0

\(3*h^2/4 = 225\)

\(h^2 = 75*4.\)

h = 10\(\sqrt{3}\)

put the value of h in \(r^2 = 225 - h^2/4\)

\(r^2\) = 225 - (300/4)

\(r^2\) = 150

r = \(\sqrt{150}\)

r = 5\(\sqrt{6}\).

So the dimensions of a right circular cylinder are 10\(\sqrt{3}\) and 5\(\sqrt{6}\).

Given Question is incomplete, Complete Question here:

find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 15 cm. what is the maximum​ volume?

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The original inequality expression 3 + 5x < 5(x + 1) is always true for any given value of x.

To determine if the inequality 3 + 5x < 5(x + 1) is always, sometimes, or never true, we can simplify and analyze the expression.

Let's simplify the inequality step by step:

3 + 5x < 5(x + 1)

Expanding the right side using the distributive property:

3 + 5x < 5x + 5

Now, let's isolate the x term on one side:

5x - 5x < 5 - 3

0 < 2

The resulting inequality is 0 < 2, which is always true. No matter the value of x, the statement "0 is less than 2" holds true.

Therefore, the original inequality 3 + 5x < 5(x + 1) is always true for any value of x.

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The correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].

Given that 2 ≤ f(x) ≤ 4 for all x in the interval [0, 2], we know that the function f(x) is bounded between 2 and 4 throughout the interval. To find the greatest possible value of the integral of f(x) over the interval [0, 2], we want to maximize the area bounded by the function and the x-axis.

Since the function is continuous and bounded, we can use the Fundamental Theorem of Calculus to find the integral. The integral of f(x) over the interval [0, 2] represents the area under the curve of f(x) between x = 0 and x = 2.

The maximum possible value of this integral occurs when the function is at its upper bound of 4 throughout the interval. Therefore, the greatest possible value of the integral is the area of the rectangle with a base of 2 (the width of the interval) and a height of 4, which is 2 * 4 = 8.

Hence, the correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].

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x = 5/4   or   x = 15/4

Step-by-step explanation:

Answer:

  D  4/10 = 2/x

Step-by-step explanation:

2/x represents the ratio of the man's height to the tree's height. The appropriate proportion will be one that ratios the man's shadow (4 m) to the tree's shadow (6+4=10 m).

The correct proportion is ...

  4/10 = 2/x

The dimension of the solution space is 2. Therefore, the answer is (B) 2.

The rank of a matrix A is defined as the maximum number of linearly independent rows or columns in A.

Therefore, if the rank of a 7 x 6 matrix A is 4, it means that there are 4 linearly independent rows or columns in A, and the other 3 rows or columns can be expressed as linear combinations of the 4 independent ones.

The equation Az = 0 represents a homogeneous system of linear equations, where z is a column vector of unknowns.

The dimension of the solution space of this system is equal to the number of unknowns minus the rank of the coefficient matrix A.

In this case, A has 6 columns and rank 4, so the number of unknowns is 6 and the dimension of the solution space is 6 - 4 = 2. Therefore, the answer is (B) 2.

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Answer:

  9.08

Step-by-step explanation:

To find the predicted value of y, put the x-value where x is in the equation and do the arithmetic.

  \(\hat{y}=134.63-2.79x\qquad\text{given}\\\\\hat{y}=134.63-2.79(45) = 134.63-125.55\qquad\text{use 45 for x}\\\\\boxed{\hat{y}=9.08}\qquad\text{simplify}\)

Answer:

Figure 1: 623.2 in²

Figure 2: 679.8 in²

Step-by-step explanation:

For a pyramid total surface area

= Base Area + Lateral Surface Area

Figure 1 is a triangular prism
It's base is an equilateral triangle with side = 20 in
Area of an equilateral triangle = \(\dfrac{\sqrt{3}}{4} a^2\) where \(a\) is the length of the base

So in figure 1, base area = area of equilateral triangle with side a = 20 in
\(\text{Base Area =} \dfrac{\sqrt{3}}{4} \cdot 20^2 \approx 173.2 \;in^2\)

Each lateral side is an isosceles triangle with base = 20 and height = 15
Area of each triangle

\(= \dfrac{1}{2} \cdot base \cdot height\)
\(= \dfrac{1}{2} \cdot 20 \cdot 15 \\\\= 150 \; in^2\)

There are three such lateral sides so total lateral area = 150 x 3 = 450 in²

Total surface area = 173.21 + 450 = 623.2 in²

Figure 2
This is a regular hexagonal pyramid

The base is a regular hexagon of side 10

Base area = Area of hexagon of side 10

Area of a regular hexagon with side a
\(= \dfrac{3\sqrt{3}}{4} a^2\)

Base area of Figure 2
\(= \dfrac{3\sqrt{3}}{4} 10^2\\\\\approx 259.8 \;in^2\)

The lateral surface consists of 6 isosceles triangles each with a base = 10 in and height = 14 in

Area of each isosceles triangle
\(= \dfrac{1}{2} \cdot 10 \cdot 14 \\\\= 70 \;in^2\)

Since there are 6 such lateral triangles, total lateral surface area
= 70 x 6 = 420 in²

So total surface area = base area + total lateral surface area
= 259.8 + 420 = 679.8 in²

Answer:

6x^2+16x+8

Step-by-step explanation:

it is handwritten in the photo

Answer:

you just do 1x2x3x4

and then that equals 24

so now you have 24 and then you add 4 zeros because their are 4 zeros in the equation so then the final answer is

240000

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

Hi, pie in algebra is 3.14 when rounded up.

I hope this helps :)

Answer:

0.38

Step-by-step explanation:

0.38 is the probability of getting exactly 2 Tails in 3 tosses.

Answer:

For exactly 2 tails, the possible outcome would be 0.38.

Step-by-step explanation:

step 1: Find the total possible combinations of sample space S

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

S = 8

step 2: Find the expected or successful events A

A = {HTT, THT, TTH}

A = 3

step 3: Find the probability

P(A) = Successful Events / Total Events of Sample Space

= 3 / 8

= 0.38

P(A) = 0.38

0.38 is the probability of getting exactly 2 Tails in 3 tosses.

Hope this helps :)

Answer:

1.6

2.28

3.0

4. 4

5.19

6.145

7.19

8.6

9.19

10.42

Step-by-step explanation: didnt see The last one hope this helps

Answer:

Step-by-step explanation:

As Angle 5 and Angle 4 form a linear pair, they are supplementary.

Hence,

\(Hence,\\Angle\ 5\ +\ Angle\ 4\ =\ 180\\(3x+7)+(9x-43)=180\\12x+(-36)=180\\12x=180+36\\12x=216\\x=18\\\\Hence, Obtuse\ Angle\ UPS = Angle\ 4 + 90\\Hence,\\Obtuse\ Angle\ UPS\ = (3x+7)+90\\\\We\ know\ that\ x=18 \\Hence, Angle\ 4\ = (3*18+7)\\=(54+7)\\=61\\\\Obtuse\ Angle\ UPS\ = 61+90\\=151\\\\\\Reflex\ Angle\ UPS\ = 360-151\\=209\)

The United States will have 16 additional​ shirt(s) after the trade ​(enter a numeric response using an​ integer) and 0 additional​ boot(s). At the same​ time, Canada will be able to consume 14 additional​ shirt(s) as a result of the trade and 0 additional​ boot

With Alaska in the northwest and Hawaii extending the country's reach into the Pacific Ocean, the United States is a confederation of 50 states that encloses a sizable portion of North America. Significant Atlantic Coast cities include Washington, DC, and New York, a centre of international culture and economics. Chicago, a major city in the Midwest, is renowned for its significant architecture, whereas Hollywood, near Los Angeles on the west coast, is renowned for its film production.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

The US will consume 16 shirts with trade. (4+12=16 and 16-2=14) The US will have 14 additional shirts.

With commerce, the US will consume 18 boots. 18-18=0

0 additional boots.

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Answer:

=28

Step-by-step explanation:

10+(9−3)(3)

=10+(6)(3)

=10+18

=28

If "water-sprinkler" sends out water 21 feet in any direction in circular pattern, then the area formed by water pattern is 1384.74 feet².

If the sprinkler can spray water out 21 feet in any direction, then the radius of the circular pattern formed by the water is 21 feet.

The formula for area of circular pattern is : A = πr², where 'r" is = radius of the circle.

Substituting the radius of circular pattern as 21 feet,

We get,

⇒A = πr² = 3.14 × 21 × 21 = 1384.74 ft².

Therefore, the area formed by the water pattern is 1384.74 square feet.

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Answer:

If two secant segments intersect outside a circle, then the product of the secant segment with its external portion equals the product of the other secant segment with its external portion.

45(45) = (2x + 75)(27)

2,025 = (2x + 75)(27)

2x + 75 = 75, so x = 0 and GH = 48

the binomial probability formula:

P(X = k) = C(n, k) * pᵏ * (1 - p)⁽ⁿ ⁻ ᵏ⁾

where:- P(X = k) is the probability of getting exactly k successes,

- C(n, k) is the number of combinations of n items taken k at a time,- p is the probability of success for each trial, and

- n is the number of trials or sample size.

Given:- Population proportion (p) = 53% = 0.53

- Sample size (n) = 300

a) A simple random sample of 300 is surveyed.

need to find in this part, we can assume it is the probability of getting any specific number of people favoring a charter school.

b) To find the probability that at least 150 favor a charter school, we sum the probabilities of getting 150, 151, 152, ..., up to 300:P(X ≥ 150) = P(X = 150) + P(X = 151) + P(X = 152) + ... + P(X = 300)

c) To find the probability that at most 160 favor a charter school, we sum the probabilities of getting 0, 1, 2, ..., 160:

P(X ≤ 160) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 160)

d) To find the probability that more than 155 favor a charter school, we subtract the probability of getting 155 or fewer from 1:P(X > 155) = 1 - P(X ≤ 155)

e) To find the probability that fewer than 147 favor a charter school, we sum the probabilities of getting 0, 1, 2, ..., 146:

P(X < 147) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 146)

f) To find the probability that exactly 175 favor a charter school:P(X = 175) = C(300, 175) * (0.53)¹⁷⁵ * (1 - 0.53)⁽³⁰⁰ ⁻ ¹⁷⁵⁾

Please note that the calculations for parts b, c, d, e, and f involve evaluating multiple probabilities using the binomial formula. It is recommended to use statistical software or a binomial probability calculator to obtain precise values for these probabilities.

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Answer:

To estimate the total weight of the pet food Adam buys, we can use benchmark fractions to compare the weight of the dog food (7/8 pound) and the weight of the cat food (1 3/4 pounds) to a benchmark fraction that we are familiar with.

We know that 1 whole pound is equal to 16 ounces. So, we can use this as a benchmark to estimate the weight of the dog food and cat food.

First, we'll convert 7/8 pound to ounces. 7/8 pound is equal to 7/8 * 16 = 14 ounces

Next, we'll convert 1 3/4 pound to ounces. 1 3/4 pound is equal to 1 * 16 + 3/4 * 16 = 16 + 12 = 28 ounces.

Now we can add the weight of the dog food and the cat food to get the total weight of the pet food Adam buys.

14 ounces + 28 ounces = 42 ounces

So, the total weight of the pet food Adam buys is approximately 42 ounces, which is roughly 2.6 pounds.

The estimate was made with benchmark fractions, which allows us to make a rough estimation of the weight of the pet food, but it's not as precise as the exact weight in pound or ounces.

Hey there!

Opposite sides are congruent:

all of them

opposite angles are congruent

rectangle and square

all sides are congruent

rhombus and square

diagonals congruent:

rectangle, rhombus, and square

diagonals are perpendicular

square and rhombus

Have a terrificly amazing day!

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

TRUE: Basketball players' height is seen as a continuous variable.

Yes, as lengths are continuous variables, the random variable does indeed refer to length.

Thus, Basketball players' height is seen as a continuous variable

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Answer:

g(x) = log(x+1) + 4

Step-by-step explanation:

If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).

The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.

Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.