What is the absolute value of -0.58?

Answer:

27/35

write all numerators above the LCD 35

20 + 7 over 35

add the numerators

The answer is in the two images below and one of them shows step-by-step on how to solve it.

Hope this helps my friend! :)

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

a-28-(19)=0

Step by step solution :

STEP1:

Solving a Single Variable Equation:

1.1 Solve : a-47 = 0

Add 47 to both sides of the equation :

a = 47

One solution was found :

a = 47

Step-by-step explanation:

Hope it is helpful.....

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer:

7×11=77

Step-by-step explanation:

7

9+2=11

7×11=77

Answer:

7 x ( 9 + 2)

Step-by-step explanation:

7 times the sum of 9 and 2

the sum of 9 and 2 can be written as 9 + 2

And you multiply 7 by 9 + 2 which is 7 x (9 + 2)

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

10 * .20  = .05 x + .40 ( 10-x)

5.7 liters of 5%

4.3 of the 40 %

Step-by-step explanation:

we need 10 liter of a 20 %  solution

We have x liters of 5%  and  since there is a total of 10 liters we have 10-x of the 40 % solutions

10 * .20  = .05 x + .40 ( 10-x)

2 = .05x +4 - .4x

Combine like terms

2 = 4- .35x

Subtract 4 from each side

2-4 = -.35x

-2 = -.35x

Divide by -.35

-2/.-35 =x

40/7 =x

5.7 =x

10 -5 5/7 = 4 2/7

4.3 of the 40 %

Out of 41 observations, 60% were successes. H0: p = 0. The correct option is a.2.974.

Based on the given information, we know that out of 41 observations, 60% were successes. This means that there were 24.6 successes (60% of 41).

The null hypothesis (H0) states that the true proportion of successes (p) is 0.49.

To test this hypothesis, we can use a one-sample proportion z-test. The formula for this test statistic is:

z = (p^ - p) / sqrt(p * (1 - p) / n)

where p^ is the sample proportion (in this case, 0.6), p is the hypothesized proportion (0.49), and n is the sample size (41).

Plugging in these values, we get:

z = (0.6 - 0.49) / sqrt(0.49 * 0.51 / 41)
z = 2.974

This means that our test statistic is 2.974.

To find the p-value associated with this test statistic, we can use a standard normal distribution table or calculator. The p-value for a z-score of 2.974 is approximately 0.0029.

Since this p-value is less than the typical alpha level of 0.05, we would reject the null hypothesis and conclude that there is sufficient evidence to suggest that the true proportion of successes is not 0.49.

Therefore, our answer is (a) 2.974.
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The value of x in the given inequality 6x ≤ 18, is S:3 out of all the given options.

The correct answer is S:3.

To solve for x, we divide both sides of the inequality by 6. When dividing by a negative number, we flip the direction of the inequality sign. This gives us x ≤ 3.

Therefore, the possible values of x are 3, 2, 1, 0, and so on. The answer can not be 26, 14, or 7, because those values would make x greater than 3.

Here is the solution in steps:

6x ≤ 18

6x/6 ≤ 18/6 (divide both sides by 6)

x ≤ 3

Therefore, the value of x is 3.

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The ways to prove right triangles congruence:

Triangle in the right position

Congruent Hypotenuse-Angle.

Leg-Angle Consistency

Hypotenuse–Leg Congruence

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

According to the RHS Criterion:

If the hypotenuse and one of the sides of a right-angled triangle match the hypotenuse and the corresponding side of another right-angled triangle, then the two triangles are said to be congruent.

Leg-to-leg coherence Right triangles are said to be congruent if their respective legs match up with those of another right triangle.

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Answer:

straight angle

Step-by-step explanation:

I know that angle one and angle two will add to give 180 degrees as it lies on a straight line hence the answer would be straight angle

To find two unit vectors that are orthogonal to both u → = 〈 2 , − 4 , 2 〉 u→=〈2,-4,2〉 and v → = 〈 0 , 5 , 9 〉 v→=〈0,5,9〉, follow these steps:

Step 1: Find the cross product of the two vectors u → and v → .u → × v → =  〈 − 46 , − 2 , 10 〉 u→×v→=⟨−46,−2,10⟩

Step 2: Find two vectors that are orthogonal to u → × v →  vector, ⟨−46,−2,10⟩.Let, A=⟨−46,−2,10⟩, two unit vectors orthogonal to A are given by     A A ∥ A ∥ , and A A ∥ A ∥  where  ∥ A ∥  is the magnitude of  A .| A | = | ⟨ − 46 , − 2 , 10 ⟩ | = 46 2 + 2 2 + 10 2 = 2 2 ( 23 2 ) = 2 ( 23 ) |⟨−46,−2,10⟩|=462+22+102=222(232​)=2(23)

Now, we can find the two required unit vectors as follows:A A ∥ A ∥ = ⟨ − 46 2 ( 23 ) , − 2 2 ( 23 ) , 10 2 ( 23 ) ⟩ A∥A∥=⟨−462(23),−22(23),102(23)⟩A∥A∥=⟨−23,−1,5⟩A A ∥ A ∥  = ⟨ 23 , 1 , − 5 ⟩ A∥A∥ =⟨23,1,−5⟩

Therefore, we can find two unit vectors that are orthogonal to both u → = 〈 2 , − 4 , 2 〉 u→=〈2,-4,2〉 and v → = 〈 0 , 5 , 9 〉 v→=〈0,5,9〉 by using the cross-product of the two given vectors.

The cross-product of the two given vectors is  A=⟨−46,−2,10⟩. Then, we used the formula to find two unit vectors A A ∥ A ∥ , and A A ∥ A ∥  that are orthogonal to A.  After finding the two required unit vectors, we obtained the following results:Vector 1: A A ∥ A ∥ = ⟨ − 23 , − 1 , 5 ⟩ A∥A∥=⟨−23,−1,5⟩Vector 2: A A ∥ A ∥  = ⟨ 23 , 1 , − 5 ⟩ A∥A∥ =⟨23,1,−5⟩

Therefore, we can conclude that the two unit vectors that are orthogonal to both u → = 〈 2 , − 4 , 2 〉 u→=〈2,-4,2〉 and v → = 〈 0 , 5 , 9 〉 v→=〈0,5,9〉 are  A A ∥ A ∥  = ⟨ − 23 , − 1 , 5 ⟩ A∥A∥ =⟨−23,−1,5⟩and A A ∥ A ∥  = ⟨ 23 , 1 , − 5 ⟩ A∥A∥ =⟨23,1,−5⟩.

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The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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Answer:

450.

Step-by-step explanation:

The given equation is

\(\dfrac{150}{170}=\dfrac{x}{510}\)

We need to solve the proportion to find the value of x.

Multiply both sides by 510, to isolate x on one side.

\(\dfrac{150}{170}\times 510=\dfrac{x}{510}\times 510\)

Cancel out common factors.

\(150\times 3=x\)

\(450=x\)

On interchanging the sides, we get

\(x=450\)

Therefore, the value of x is 450.

Answer:

450

Step-by-step explanation:

Answer:

Down below

Step-by-step explanation:

17: -15x

18: 12

19: -3

20: -52

22: -13

23: 31

26: -2

27: 56

28: 9

30: -10

The calculation of the mean shows that Jamie should not lose her job as she was faster after the talk from the boss.

The mean of the travel time in the first scenario will be:

= (18, 20, 22, 27, 16, 23, 25,26, 19, 28)/10

= 224/10

= 22.4

She she shows consistency, the mean will be:

= (22, 20, 22, 24, 24, 23, 25, 21, 19, 21)/10

= 221/10

= 22.1

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Answer:

D

Step-by-step explanation:

(my trick to calculate percentage) to calculate 1% of 70 we do 70/100= 0.7, then we multiply 0.7 with the percent which is 80, so 0.7*80=56

therefor the answer is 56!

Answer:

D. 56

Step-by-step explanation:

80% can also be said as 80/100 and then multiply that with the total value of the thing you need to find.

So in this case its 70.

Now 70x(80/100) [remember the BODMAS rule] solve the bracket first.

80/100 = .8 x 70 = 56

hence the option D

Answer:

3/16 or 3 over 16

Step-by-step explanation:

Find half of 3/8:

1/2x3/8 = 3/16

Answer:

3

Step-by-step explanation:

Answer: B

Step-by-step explanation:

summation of a series t1, t2, t3, ..., tn can be expressed using the sigma notation as:

Σ₁ⁿt = t₁ + t₂ + t₃+ t₄+.....

A sum of several terms is typically represented by the symbol Σ" sigma." This symbol is typically accompanied by a variable index that includes all terms that must be taken into account when calculating the total.

The summation of a series t₁, t₂, t₃, ..., tₙ can be expressed using the sigma notation as:

Σ₁ⁿt = t₁ + t₂ + t₃+ t₄+.....

The symbol ∑ represents the summation, i is the index of summation, and the lower limit of summation is 1 while the upper limit is n. The term ti represents each element of the series, and the sigma notation indicates that we add up all the terms in the series from i=1 to i=n.

For example, if the series is t₁ = 3, t₂ = 6, t₃ = 9, t₄ = 12, and t = 15, then we can express the sum of the series using sigma notation as follows:

Σt =  3 +6 +9 +12 +15

Σt =  45

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First, starting from the equation:

We should change every x for a y and every y for an x, so:

In the text, the first step was:

So, the first mistake was not to change the linear term 12x for 12y.

Another mistake was made from the following steps:

The expression inside the square root must be greater or equal to 0, then:

So, the second mistake was not to identify the domain of x correctly.

A third mistake is that the square root of y^2 is not y, it is |y|. So:

The value of the test statistic is approximately 2.54.

To find the value of the test statistic, we can use the formula for calculating the test statistic for a single-sample hypothesis test for the population mean. The formula is:

t = (\(\bar x\) - μ) / (s / √n)

Where:

\(\bar x\) is the sample mean,

μ is the population mean,

s is the sample standard deviation,

n is the sample size.

Given information:

Sample mean (\(\bar x\)) = 5.8 ppm

Population mean (μ) = 5.5 ppm

Sample variance (σ^2) = 0.36 ppm^2

Sample size (n) = 26

To calculate the sample standard deviation (s), we take the square root of the sample variance:

s = √(σ^2)

s = √(0.36)

s = 0.6

Now we can calculate the test statistic (t):

t = (5.8 - 5.5) / (0.6 / √26)

t = 0.3 / (0.6 / √26)

t = 0.3 / (0.6 / 5.099)

t = 0.3 / 0.118

t ≈ 2.54 (rounded to two decimal places)

Therefore, the value of the test statistic is approximately 2.54.

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To prove that for quadratic Bezier curves, the slope of the line segment p0q equals the slope of the tangent line to the curve at p0, and that the slope of the line segment qp1 equals the slope of the tangent line to the curve at p1, we'll use the properties of Bezier curves and their derivatives.

A quadratic Bezier curve is defined by three control points: p0, p1, and p2. The curve is parameterized by a variable t, where t ranges from 0 to 1. The equation for the quadratic Bezier curve is:

B(t) = (1 - t)^2 * p0 + 2 * (1 - t) * t * p1 + t^2 * p2

Let's calculate the derivative of the Bezier curve with respect to t, denoted as B'(t):

B'(t) = d/dt [(1 - t)^2 * p0 + 2 * (1 - t) * t * p1 + t^2 * p2]

= -2 * (1 - t) * p0 + 2 * (1 - 2t) * p1 + 2 * t * p2

= -2 * (1 - t) * p0 + 2 * (1 - 2t) * p1 + 2 * t * p2

Now, let's find the slope of the line segment p0q, where q is any point on the curve. We'll substitute t = 0 into the equation of the Bezier curve:

q = B(0) = (1 - 0)^2 * p0 + 2 * (1 - 0) * 0 * p1 + 0^2 * p2

= p0

Therefore, q = p0.

The slope of the line segment p0q is given by the difference in y-coordinates divided by the difference in x-coordinates:

slope_p0q = (q.y - p0.y) / (q.x - p0.x)

Since q = p0, the numerator becomes 0, and the slope of the line segment p0q becomes 0.

Now, let's find the slope of the tangent line to the curve at p0. We'll substitute t = 0 into the equation for the derivative of the Bezier curve:

B'(0) = -2 * (1 - 0) * p0 + 2 * (1 - 2 * 0) * p1 + 2 * 0 * p2

= -2 * p0 + 2 * p1

The slope of the tangent line to the curve at p0 is given by the y-component divided by the x-component of the derivative at t = 0:

slope_tangent_p0 = (B'(0)).y / (B'(0)).x

= (-2 * p0 + 2 * p1).y / (-2 * p0 + 2 * p1).x

Since we have q = p0, we can simplify the expression:

slope_tangent_p0 = (-2 * q + 2 * p1).y / (-2 * q + 2 * p1).x

Now, let's find the slope of the line segment qp1. We'll substitute t = 1 into the equation of the Bezier curve:

q = B(1) = (1 - 1)^2 * p0 + 2 * (1 - 1) * 1 * p1 + 1^2 * p2

= p2

Therefore, q = p2.

The slope of the line segment qp1 is given by the difference in y-coordinates divided by the difference in x-coordinates:

slope_qp1 = (p2.y - q.y) / (p2.x - q.x)

Since q = p2, the numerator becomes 0, and the slope of the line segment qp1 becomes 0.

Now, let's find the slope of the tangent line to the curve at p1. We'll substitute t = 1 into the equation for the derivative of the Bezier curve:

B'(1) = -2 * (1 - 1) * p0 + 2 * (1 - 2 * 1) * p1 + 2 * 1 * p2

= 2 * p2 - 2 * p1

The slope of the tangent line to the curve at p1 is given by the y-component divided by the x-component of the derivative at t = 1:

slope_tangent_p1 = (B'(1)).y / (B'(1)).x

= (2 * p2 - 2 * p1).y / (2 * p2 - 2 * p1).x

Since we have q = p2, we can simplify the expression:

slope_tangent_p1 = (2 * q - 2 * p1).y / (2 * q - 2 * p1).x

As we can see, both slope_p0q and slope_tangent_p0 are equal to 0, and both slope_qp1 and slope_tangent_p1 are equal to 0.

Therefore, we have proved that for quadratic Bezier curves, the slope of the line segment p0q equals the slope of the tangent line to the curve at p0, and the slope of the line segment qp1 equals the slope of the tangent line to the curve at p1.

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Answer: 0

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:                                    

Answer:

12/16 the fraction is equal to 3/4

Step-by-step explanation:

12/16 divided by 4/4 = 3/4