Which statement is true?

Answer:

one real solution

Step-by-step explanation:

u^2 =0

Take the square root of each side

sqrt(u^2) = ±sqrt(0)

u = 0

Answer:

One real solution

Step-by-step explanation:

\( {u}^{2} = 0 \\ u = \sqrt{0} \\ u = 0\)

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The values of x in each equation are;

1) 128

2) 1500

Forming an equation involves expressing a mathematical relationship or statement using mathematical symbols and symbols of equality. The goal is to represent a real-life situation, a mathematical problem, or a hypothesis in a clear and concise way that can be easily analyzed and solved.

We have that;

1) let the number be x

85/100 * x = 108.8

x = 108.8 * 100/85

= 128

2) Let the number of the kettle corn be x;

6/10 * 2500 = x

x = 1500

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Answer:

1+. -1 is 0. a

Step-by-step explanation:

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6.4 feet

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Answer:

28.8 inches or 2'4.8"

Step-by-step explanation:

0.60*48= 28.8

Hope this helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

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Answer:

2 (3 y - 4) <- Complete answer, but since you only have those choices it's

6 y - 8

Step-by-step explanation:

Simplify the following:

8 y - 2 (y + 4)

Hint: | Distribute -2 over y + 4.

-2 (y + 4) = -2 y - 8:

8 y + -2 y - 8

Hint: | Group like terms in 8 y - 2 y - 8.

Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:

(8 y - 2 y) - 8

Hint: | Combine like terms in 8 y - 2 y.

8 y - 2 y = 6 y:

6 y - 8

Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.

Factor 2 out of 6 y - 8:

Answer: 2 (3 y - 4)

Answer:

the shorter piece is 30 inches.

Step-by-step explanation:

3x + x = 120

4x =120

x =30

The value of k in the rational expression (5k - 2)/3k = 7 is - 2/17.

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

We also know that a fraction is written in the form of p/q, where q ≠ 0.

Given, A rational expression (5k - 2)/3k = 7.

Now, The denominator of the LHS will be multiplied to the numerator of RHS.

Therefore, 5k - 2 = 21k.

5k - 21k = 2.

- 17k = 2.

- k = 2/17.

k = - 2/17.

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The correct inequality that represents the given graph is "x greater-than-or-equal-to negative 53."

The inequality represented by the given graph is "x greater-than-or-equal-to negative 53."

In the graph, there is a closed circle at negative 53 on the number line. This indicates that the value -53 is included in the solution set. Additionally, everything to the right of the closed circle is shaded, indicating that all values greater than -53 are also part of the solution.

The symbol ">" represents "greater than," and the symbol "≥" represents "greater than or equal to."

Since the closed circle is at -53, which is included in the shaded region, we use the "greater than or equal to" symbol to indicate that the values greater than or equal to -53 satisfy the inequality.

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Answer:

its d

Step-by-step explanation:

Answer:

29.2

Step-by-step explanation:

It is important to carefully consider the presence of outliers when selecting measures of center and variability. If outliers are present, it may be necessary to use alternative measures to accurately represent the data sets.

To determine if there are any noticeable outliers in a data set, it is important to visually examine the data using graphs such as box plots or histograms. An outlier is a value that is significantly higher or lower than the other values in the data set.

If outliers are present in the data set, this can have an impact on the best measures to use for center and variability. Outliers can skew the data and make it difficult to accurately represent the true center or spread of the data.

In terms of center, outliers can greatly affect the mean, which is calculated by adding up all the values and dividing by the number of values. If there are outliers present, the mean may not accurately represent the central tendency of the data. In this case, it may be more appropriate to use the median, which is the middle value when the data is ordered from smallest to largest. The median is less affected by outliers since it only considers the middle value.

If there are outliers present, the variance may be inflated, which will in turn affect the standard deviation. In this case, it may be more appropriate to use a different measure of variability, such as the interquartile range (IQR), which is the difference between the 75th percentile (Q3) and the 25th percentile (Q1). The IQR is less affected by outliers since it only considers the middle 50% of the data.

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Step-by-step explanation:

1) Answer;

\( \frac{2}{5} \div \frac{26}{15} \\ \\ \frac{2}{5} \times \frac{15}{26} \\ \\ \frac{2}{1} \times \frac{3}{26} \\ \\ \frac{1}{1} \times \frac{3}{13} = \frac{3}{13} \)

2) Answer;

\( \frac{10}{3} \div ( - \frac{34}{12} ) \\ \\ \frac{10}{3} \times ( - \frac{12}{34} ) \\ \\ \frac{10}{3} \times ( - \frac{6}{17} ) \\ \\ \frac{10}{1} \times ( - \frac{2}{17} ) \\ \\ = - \frac{2 \times 10}{1 \times 17} \\ \\ = - \frac{20}{17} \)

Answer:

5/6 cups all together

Step-by-step explanation:

1/3 + 1/3 + 1/6 = 5/6

The single transformation that has the same effect is (x, y) - (x - 7 , y - 1)

From the question, we have the following parameters that can be used in our computation:

To determine the single transformation, we add the translation rules

Using the above as a guide, we have the following:

(x, y) - (x - 3 - 4 , y + 1 - 2)

Evaluate the like terms

(x, y) - (x - 7 , y - 1)

Hence, the rule is (x, y) - (x - 7 , y - 1)

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After simplifying the expression 8⁻⁵ / 8⁻⁷ with no exponents, we get the result as 64.

To simplify 8⁻⁵ / 8⁻⁷ with no exponents, we need to use the rule that states when dividing two powers with the same base, you can subtract the exponents. Thus:

8⁻⁵ / 8⁻⁷ = 8⁻⁵ x 8⁷

To simplify this further, we can use the rule that states when multiplying powers with the same base, you can add the exponents. Thus:

8⁻⁵ x 8⁷ = 8⁻⁵⁺⁷

Simplifying the exponent by adding -5 and 7, we get:

8²

Therefore, 8⁻⁵ / 8⁻⁷ with no exponents is equal to 8², which simplifies to 64. So the final answer is 64.

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If the wheel rotates clockwise, the height function is h(t) = 28.5 + 22.5sin(270 - 36t).

The function's central axis for the height of the Ferris wheel's center is given by h = f(t).

= 6 + 45 ÷ 2 = 6 + 22.5 = 28.5 meters.

The wheel rotates at a speed of 36 degrees per minute since the period of revolution is 10 minutes.

The wheel's direction of rotation—clockwise or counterclockwise—is not specified.

Let's look at both situations:

The present angle, assuming it spins clockwise, is equal to 270 – 36t degrees, where t is the duration in minutes.

Then the height function h = f(t)

= 28.5 + 22.5sin(a)

= 28.5 + 22.5sin(270 - 36t)

If the wheel rotates anti-clockwise, the current angle is

b = 270 + 36t degrees.

Then the height function

h = r(t)

= 28.5 + 22.5sin(b)

= 28.5 + 22.5sin(270 + 36t)

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Answer:

-5/ 3

Step-by-step explanation:

solving 2a - b

= (2 × 2) - (-1)

= 4 + 1

= 5

solving (2a - b)/ c

= 5/ (-3)

= -5/ 3

that is the third option

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\( \huge\underline{\sf{\red{Problem:}}}\)

6.) Detemine the value of \( \sf{(2a - b) \div c.}\)

\( \huge\underline{\sf{\red{Given:}}}\)

\(\quad\quad\quad\quad\sf{a = 2}\)

\(\quad\quad\quad\quad\sf{b = - 1}\)

\(\quad\quad\quad\quad\sf{c = - 3}\)

\( \huge\underline{\sf{\red{Solution:}}}\)

\(\quad\quad\quad\quad\sf{⟶(2a- b)÷c}\)

\(\quad \quad \quad \quad \sf{⟶(2(2)-(-1))÷(-3)}\)

\(\quad \quad \quad \quad \sf{⟶(4-(-1))÷(-3)}\)

\(\quad \quad \quad \quad \sf{⟶4+1÷(-3)}\)

\(\quad \quad \quad \quad ⟶ \boxed{ \sf{ - \frac{5}{3} }}\)

\(\huge\underline{\sf{\red{Answer:}}}\)

\(\huge\quad\quad\underline{ \boxed{ \sf{ \red{ - \frac{5}{3} }}}}\)

\(\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }\)

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\(\sf{\red{✍︎ C.Rose❀}}\)

Answer:

Step-by-step explanation:

An isosceles triangle is one that has 2 sides that are the same length, like ours here. Because of the Isosceles Triangle Theorem, if 2 side lengths are congruent, then the angles opposite those sides are congruent, as well. That means that both base angles are 53 degrees. However, we are looking for the altitude, or height, of the triangle. That changes everything. Drawing in the height serves to cut the triangle in half, splitting both the vertex angle (the angle at the top of the triangle) and the base exactly in half. Now we have 2 right triangles which are mirror images of each other. We only need concentrate on one of these triangles. What the triangle looks like now:

One base angle is 90 degrees and the other is 53 degrees. By the Triangle Angle-Sum Theorem, the third angle has to be a degree measure which ensures that all the angles add up to 180. Therefore, the third angle measures 180 - 90 - 53 = 37. Even still, besides knowing all the angle measures, we really don't need any besides the 53 degree one.

As far as side lengths go, the base is 12 (because the height cut it in half). To find a missing side in a right triangle you either use Pythagorean's Theorem or right triangle trig, depending upon the info you're given. We only have enough to use right triangle trig.

We have the base angle of 53, which is our reference angle, the side next to, or adjacent to, the reference angle, and we are looking for the side length opposite the reference angle. This is the tan ratio where

\(tan\theta=\frac{opp}{adj}\)  where tangent of the reference angle is equal to the side opposite the reference angle over the side adjacent to the reference angle. Filling in that ratio:

\(tan53=\frac{opp}{12}\) and multiply both sides by 12 to get

12tan53 = opp and do this on your calculator to get that

opp = 15.9 inches

If a random sample of 280 chips is selected, approximate the probability that at most 18 will be defective. The normal approximation to the binomial with a correction for continuity is 0.702.

The failure rate of the semiconductor chips is 5.8%, we can consider this as a binomial distribution problem. Let X represent the number of defective chips out of the sample of 280.

To approximate the probability, we can use the normal approximation to the binomial distribution. The mean of the binomial distribution is given by

μ = n × p,

where

n is the sample size and

p is the probability of success (1 - failure rate).

In this case,

μ = 280 × 0.058.

The standard deviation of the binomial distribution is given by

σ = √(n × p × (1 - p)).

In this case,

σ = √(280 × 0.058 × 0.942).

To account for continuity, we adjust the value of 18 by 0.5. Let's call this adjusted value x.

Now, we can use the normal approximation to calculate the probability P(X <= x) using the z-score. The z-score is calculated as

z = (x - μ) / σ.

Finally, we can look up the z-score in the standard normal distribution table or use a calculator to find the probability P(Z <= z).

The failure rate of the manufacturing process is 5.8%, which means the probability of a chip being defective is 0.058. We can use this probability, along with the sample size (n = 280) and the desired number of defective chips (k = 18), to calculate the mean (μ) and standard deviation (σ) of the binomial distribution:

μ = n × p

  = 280 × 0.058

  = 16.24

σ = √(n × p × (1 - p))

  = √(280 × 0.058 × (1 - 0.058))

  = 4.259

Now, to approximate the probability of at most 18 defective chips, we use the normal distribution with continuity correction:

P(X ≤ 18) ≈ P(X < 18.5)

Converting this to the standard normal distribution using z-score:

z = (18.5 - μ) / σ

  = (18.5 - 16.24) / 4.259

  = 0.529

Using a standard normal distribution table or calculator, we can find the cumulative probability corresponding to the z-score of 0.529, which is approximately 0.702.

Therefore, the approximate probability that at most 18 semiconductor chips will be defective out of a sample of 280 chips is 0.702.

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Exact length of the curve is (50/3)√2.

For length of the curve calculation, we need to use the formula:

L = ∫[a,b] √[dx/dt]² + [dy/dt]² dt

Puting in the values from the given equation, we get:

dx/dt = 2t²
dy/dt = 2t

Therefore,

L = ∫[0,5] √[(2t²)² + (2t)²] dt
L = ∫[0,5] √[4t⁴ + 4t²] dt
L = ∫[0,5] 2t√(t² + 1) dt

Now, we can use a substitution by letting u = t² + 1, du/dt = 2t, and dt = du/2t. Plugging this in, we get:

L = ∫[1,26] √u du
L = (2/3)(u³/²)|[1,26]
L = (2/3)(27√2 - 2√2)
L = (2/3)(25√2)
L = (50/3)√2

Hence, the exact length of the curve is (50/3)√2.

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Answer:

people got rock to sell the house and I'm going to fly to the land of the block trained me like a dojo now I'm better than yb and I will be there in about it dirk can you ask mom to get

Answer:

(3x + 4)

Step-by-step explanation:

9x²+27x+20 can be factored out to (3x + 4)(3x + 5)

Problem 11

Work Shown:

P = 4x^2-x+1

Q = -6x^2+x-4

P+Q = sum of P and Q

P+Q = (4x^2-x+1)+(-6x^2+x-4)

P+Q = (4x^2-6x^2)+(-x+x)+(1-4)

P+Q = -2x^2+0x-3

P+Q = -2x^2 - 3

2*(P+Q) = twice the sum of P and Q

2*(P+Q) = 2*(-2x^2 - 3)

2*(P+Q) = 2(-2x^2) + 2(-3)

2*(P+Q) = -4x^2 - 6

======================================================

Problem 12

Work Shown:

y = 3x^3 + x^2 - 5

z = x^2 - 12

2(y+z) = 2(3x^3 + x^2 - 5      +   x^2-12)

2(y+z) = 2(3x^3 + 2x^2 - 17)

2(y+z) = 2(3x^3) + 2(2x^2) + 2(-17)

2(y+z) = 6x^3 + 4x^2 - 34

Answer:

11. 3

12. 1

Step-by-step explanation:

11.

\((4x^2-x+1)+(-6x^2+x-4)\\4x^2-x+1-6x^2+x-4\\-2x^2-3\)

Double that

\((2)(-2x^2-3)\\-4x^4-6\)

----------------------------------------------------------

12.

\(y=3x^3+x^2-5\\z=x^2-12\)

\(2(y+z)\\2(3x^3+x^2-5+x^2-12)\\2(3x^3+2x^2-17)\\6x^3+4x^2-34\)

Answer:

12

Step-by-step explanation:12x9

Answer:

8:1

Step-by-step explanation:

The GCF of 72 and 9 is 9.

Therefore, we would do 72/9 : 9/9

After dividing, we would get an answer of 8:1

Hope this helps!:)

Answer:

B ; C ; D

Step-by-step explanation:

Number of faces on a number cube = 6

Sample space = (1, 2, 3, 4, 5, 6)

P(1 then 0)

P(1) = 1/6 ; P(0) = 0

P(1 then 0) = 1/6 * 0 = 0

P(even number then odd number) :

P(even number) = 3/6 = 1/2

P(odd) = 3/6 = 1/2

P(even number then odd number) = 1/2 * 1/2 = 1/4

P(6 then 2) :

P(6) = 1/6 ; P(2) = 1/6 = 1/2

P(6 then 2) = 1/6 * 1/6 = 1/36

P(even number then 5) :

P(even) = 3/6 = 1/2

P(5) = 1/6

P(even number then 5) = 1/2 * 1/6 = 1/12

P(odd number then 2) :

P(odd) = 3/6 = 1/2

P(2) = 1/6

P(odd number then 2) = 1/2 * 1/6 = 1/12

Answer:

  C. \(y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}\)

  D. \(y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}\)

Step-by-step explanation:

C.  The line to the left of x=0 has a slope of -1 and a y-intercept of 2. That portion of the function does not include x=0. The line to the right of x=0 has a slope of -3 and a y-intercept of 5. That portion of the function includes the case x=0.

  \(\boxed{y=\begin{cases}2-x&x<0\\5-3x&x\ge 0\end{cases}}\)

__

D. The line to the left of x=-3 is y=-2; the line to the right of there is y=4. The function is not defined at x=-3.

  \(\boxed{y=\begin{cases}-2&x<-3\\4&x>-3\end{cases}}\)

Answer:

Cross-Sectional Study

Step-by-step explanation:

The wallpaper cost $40 to John.

To find the amount of wallpaper John purchased, we have to solve for x in the cost function equation.

First, let's write down the cost function c(x) using the given information.Cost function equationc(x) = 12x + 20.

Here, x is the amount of wallpaper needed in square meters, and c(x) is the total cost John has to pay, including the cost of wallpaper and delivery.

Now, let's use the given total cost of $500 and solve for x.c(x) = 12x + 20Since the total cost John paid is $500, we can write the following equation:12x + 20 = 500

To solve for x, we can isolate x on one side by subtracting 20 from both sides.12x = 480x = 40Therefore, John purchased 40 square meters of wallpaper.

Answer: 40

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Answer:

its B

Step-by-step explanation: