Which expression represents the phrase The sum of w and twenty

A. 20w
B. w + 20
C. w^20
D. 20 x w

Answer:

Step-by-step explanation:

183,883,72

Answer:

18388372

Step-by-step explanation:

1 )Use the algorithm method.

      3 2 1 7

×              5      7      1      6

        1      1       1      4                      

        1      9      3      0     2            

        3 2  1  7 0

  2 1  1     4  

  2 2 5    1       9      0     0

1  1     3

1  6 0 8   5       0      0     0

      1  1    1

1  8 3 8   8       3       7     2

2 )Therefore, 3217 × 5716 = 18388372.

18388372

Answer:

255

Step-by-step explanation:

You need the least common multiple (LCD) of 15 and 17.

The prime factorizations of 15 and 17 are

3 × 5

17

Since there are no common factors, the LCM is their product.

15 × 17 = 255

Answer: 255

Answer:

18x^2 + 22x + 4 -----i dont know for sure if this is correct but i tried my best so dont complain pls if its not correct

Step-by-step explanation:

____________________

I                                            I ----srry this helps me

I                                            I

I                                            I 9x^2 + 5x + 2

I                                            I

_____________________

   6x + 1

So you times both by 2 by doing first:

2(6x+1) = 12x + 2

and

2(9x^2 + 5x + 2) = 18x^2 + 10x + 2

Then you need to find the like terms. To find the like terms you need to find two similar terms and add or minus. For example:

2x + 4 - 3x + 2

The two similar terms are: [2x] + 4 [-3x] + 2

so minus them 2x - 3x = -1x and then

4 + 2 = 6 so the final equation is -

6 - 1x . you cant find the like terms of that because they arent the same terms. The same can be said with 2x and 2x^2. Theyre not the same terms.

So continuing with the initial question,

find the like terms of:

18x^2 [+ 10x] (+ 2) [+ 12x] (+ 2)  ----- the brackets are just so you know which are like terms.

so the final equation is:

18x^2 + 22x + 4.

Answer:

1460

Step-by-step explanation:

rounding to the nearest ten, that is nearest to 1456 which would be 1460 (hope this helps! ) ♡

Answer:

1460

Step-by-step explanation:

Original number is 1 4 5 6

To round to the nearest ten, look at the digit in the 10's place and the digit immediately to the right of it

The digit in the tens place is 5

If the digit to the immediate right of this digit is 5 or greater, round the digit in the tens place up by one digit and set the immediate right digit to 0

So 5 rounds up to 6

The 6 to the immediate right(units place becomes 0)

1 4 5 6 rounded to nearest ten==> 1 4 6 0

Answer:

36 - x²

Step-by-step explanation:

(x-6)(-x-6) = (-1)(x-6)(x+6) = (-1)(x² - 36) = 36 - x²

this is based on the "well known" (a+b)(a-b) = a²-b²

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

P(A¯|B)  =  1.33 if P(B)=0.30, P(A)=0.75, and P(A¯∪B) = 0.40. with the help of probability.

Prοbability describes the pοssibility οf an event happening.

In real life, we frequently need tο make predictiοns abοut the future

We may οr may nοt be aware οf hοw things turn οut.

I assert that the event may οr may nοt take place if this οccurs.

In general, prοbability has a lοt οf great applicatiοns in artificial intelligence, prοbability-based ecοnοmics, and games.

By simply dividing the favοurable number οf pοssibilities by the entire number οf οutcοmes, οne can calculate the chance οf οccurrence using a prοbability fοrmula.

According to our question-

P(A¯|B) = P(A¯∪B)/PB

= 0.40/0.30

= 4/3

= 1.33

Thus,  P(A¯|B)  =  1.33 if P(B)=0.30, P(A)=0.75, and P(A¯∪B) = 0.40.

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A psychologist selects a random sample of 25 handicapped students and measures their manual dexterity scores, then if she wants to improve her precision she should use a larger sample size.  

Each sample has an equal chance of being chosen as part of the sampling procedure known as random sampling. A randomly selected sample is intended to be a fair reflection of the entire population. By increasing sample size, you can improve the accuracy of your estimates, which means that the result will be more "statistically significant" for any given estimate or size of effect. The accuracy of the average results will increase with sample quantity. Smaller error margins and the identification of outliers in the data are two further benefits of larger sample sizes.

If they observe an effect that is almost significant, some researchers decide to increase their sample size. This is done rather than concluding that there is no effect because the researcher believes he is short on samples. Because the standard error is reduced as sample size increases, confidence intervals are narrower. c) The statement "there is a 95% likelihood that the population mean is between 350 and 400" is similar to the statement "there is a 95% confidence interval for the population mean is (350, 400)".

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Correct Question:

A psychologist selects a random sample of 25 handicapped students and measures their manual dexterity scores. she uses this data to test the hypothesis that the mean dexterity score is different than 45. What would you advise her?

The the number of construction toys that must be bought so that the profit for Jacelyn's company and Richie's company is the same. is t= 204.3269230769231

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

As, per the given situation the equation can be

2125 + 49.99 t = 39.95 t

10.4 t= 2125

t= 2125 / 10.4

t= 21250/104

t= 204.3269230769231

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Answer:

$2.35

Step-by-step explanation:

17.40-6.75-5.95=$4.70

4.70 divided by 2 = 2.35 each

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Option D, F(x) = 1/x-4, is the rational function that best fits the graph.

Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator.

The graph features a vertical asymptote at x = 4 and a horizontal asymptote at y = 0, as can be seen by looking at it.

Option A, F(x) = 1/4x, has a horizontal asymptote at y = 0, but does not have a vertical asymptote at x = 4.

Option B, F(x) = 4/x, has a vertical asymptote at x = 0, but not at x = 4.

Option C, F(x) = 1/x+4, has a vertical asymptote at x = -4, but not at x = 4.

Option D, F(x) = 1/x-4, has a vertical asymptote at x = 4, and does not have any other vertical asymptotes.

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Answer:

− 1 6 + 4 3

Step-by-−

−6  ( 2 − 6 ) − 4 + 7

− 1 2 + 3 6 − 4 + 7

− 1 2 + 3 6 − 4 + 7

− 1 2 + 4 3 − 4

− 1 2 + 4 3 − 4

− 1 6 + 4 3

step explanation:

Distribute

Add the numbers

Combine like terms

Answer:

Its the last one

Step-by-step explanation:

Answer:

Should be (C). Can't verify.

545

ED2021

Using Proportion the table value is,

Cheese   Number of Pizzas

3 pounds          8

18 pounds        48

22.5 pounds    60

27 pounds        72

What is a proportion?

A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.

We have,

3 pounds bag of cheese makes 8 pizzas.

This means,

3 pounds = 8 pizzas

1 pound = 8/3 pizzas

Now,

1 pound = 8/3 pizzas

Multiply 18 on both sides.

18 pounds = 18 x 8/3

18 pounds = 48 pizzas

1 pound = 8/3 pizzas

Multiply 22.5 on both sides.

22.5 pounds = 22.5 x 8/3

22.5 pounds = 60 pizzas

1 pound = 8/3 pizzas

Multiply 27 on both sides.

27 pounds = 27 x 8/3

27 pounds = 72 pizzas

Thus,

The number of Pizzas for 3 pounds is 8.

The number of Pizzas for 18 pounds is 48.

The number of Pizzas for 22.5 pounds is 60.

The number of Pizzas for 27 pounds is 71.

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The meaning of the interval is "there has been no change in support for the candidate". Thus, option (a) is correct.

The 90% two-proportion z-confidence interval (-0.0199, 0.0510) represents the likely range of the genuine difference between the two polls in support of candidate X.

Because the interval comprises 0, the difference in support between the two polls is unlikely to be statistically significant. In other words, there is no compelling evidence that there has been a significant shift in support for the candidate.

Options b), c), d), and e) imply a substantial change in support for the candidate, either positive or negative.

Thus, option (a) is correct.

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The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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Answer:

182

Step-by-step explanation:

Add 178 + 209 + 159 = 546

Then divide 546 by 3 = 182

Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

5 23/80

Step-by-step explanation:

First, you need to find the least common multiple of 16 and 10 to add the fractions. The LCM of 16 and 10 is 80. You have to multiply 5 to 16 to get 80 and 8 to 10 to get 80, so you also multiply the numerator by those numbers. In the end you would get 4 15/80+1 8/80, which equals 5 23/80.

Answer:

Scores between 71 and 80 give a C grade.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 78.8 and a standard deviation of 9.8.

This means that \(\mu = 78.8, \sigma = 9.8\)

Find the numerical limits for a C grade.

Above the bottom 20%(20th percentile) and below the top 45%(below the 100 - 45 = 55th percentile).

20th percentile:

X when Z has a p-value of 0.2, so X when Z = -0.84.

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.84 = \frac{X - 78.8}{9.8}\)

\(X - 78.8 = -0.84*9.8\)

\(X = 70.57\)

So it rounds to 71.

55th percentile:

X when Z has a p-value of 0.55, so X when Z = 0.125.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.125 = \frac{X - 78.8}{9.8}\)

\(X - 78.8 = 0.125*9.8\)

\(X = 80\)

Scores between 71 and 80 give a C grade.

Answer:

.6 tsp

3 x .2 = .6

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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The slope intercept form of the line will be \(y=\dfrac{-1}{2}x+\dfrac{1}{4}\)

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

The given expression is:-

\(y=\dfrac{-1}{2}x+\dfrac{1}{4}\)

The general form of the equation of the line is given as:-

y  =  mx    +    c

From the equation, the slope will be given as:-

\(m=\dfrac{-1}{2}\)

Therefore the slope intercept form of the line will be \(y=\dfrac{-1}{2}x+\dfrac{1}{4}\)

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The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The given planes are A and B,

A new line, p, is drawn parallel to line l,

Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.

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