what 5+5+5+7= what is it

Answer:

w = 20

Step-by-step explanation:

a) Flip the equation.

-3/4 w = -15

b) Multiply both sides by 4/(-3).

(4/-3) * (-3/4 w) = (4/-3) * (-15)

w = 20

Answer:

so the width is 16/35 miles

Step-by-step explanation:

Length - 7/8 miles

Area - 8/20 miles

we know from the equation that area = Length x width

we need to rearrange so the width = Area ÷Length

width = 8/20 ÷ 7/8

= 8/20 × 8/7

= 16/35

The solution of the given inequality would be x = 4. the graph of the given inequality is attached below.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given the inequality as |8x−8|≤24.

For solving the given expression,

|8x−8|≤24

We can consider the expression as;

8x−8 = 24

8x = 24 + 8

8x = 32

x = 32/8

x = 4

Hence, the solution of the given inequality would be x = 4.

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The probability that a randomly chosen battery pack lasts longer than 260 hours is 0.69.

What is a normal distribution?

The normal distribution is a probability distribution that is symmetric about the mean and demonstrates that data that are closer to the mean are more likely to occur than data that are farther from the mean.

Since the life span of the battery pack is known to be Normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life spans of battery packs.

µ = mean life span

σ = standard deviation

From the information given,

µ = 250 hours

σ = 20 hours

The probability that a battery pack lasts longer than 260 hours. It is expressed as

P(x > 260) = 1 - P(x ≤ 260)

For x = 260

z = (260 - 250)/20 = 0.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.69

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The probability that a randomly chosen battery pack lasts longer than 260 hours is 0.69.

What is a normal distribution?

The normal distribution is a probability distribution that is symmetric about the mean and demonstrates that data that are closer to the mean are more likely to occur than data that are farther from the mean.

Since the life span of the battery pack is known to be Normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life spans of battery packs.

µ = mean life span

σ = standard deviation

From the information given,

µ = 250 hours

σ = 20 hours

The probability that a battery pack lasts longer than 260 hours. It is expressed as

P(x > 260) = 1 - P(x ≤ 260)

For x = 260

z = (260 - 250)/20 = 0.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.69

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - \frac{2}{3} x + 9[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given equation is :

[tex]\qquad\displaystyle \tt \rightarrow \: 8x + 12y = 108[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 12y = 108 - 8x[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{108}{12} - \frac{8}{12} x[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - \frac{2}{3} x + 9[/tex]

That's the required equation, with slope (m) = -2/3 and y - intercept = 9

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The most appropriate choice for Distance will be given by:

The ball takes [tex]3s[/tex] to reach a height of [tex]45[/tex] [tex]m[/tex].

What is Distance?

The length of the path an object takes without taking into account the direction of motion of the object is known as distance.

If [tex]s[/tex] is the speed of the object and [tex]t[/tex] is the time, then

Distance = [tex]s \times t[/tex]

Here,

[tex]H(t) = 30t - 5t^2[/tex], [tex]t[/tex] is the time in seconds

For finding the time taken by the ball to reach a height of [tex]45[/tex][tex]m[/tex], we need to substitute [tex]H(t) = 45[/tex]

Now putting [tex]H(t) = 45[/tex]

[tex]45 = 30t - 5t^2\\5t^2 - 30t+45 = 0\\ 5(t^2 -6t + 9)=0\\t^2 -6t+9=0\\t^2-3t-3t+9=0\\t(t-3)-3(t-3)=0\\(t-3)(t-3)=0\\t-3 = 0\\t = 3s[/tex]

So the ball takes [tex]3s[/tex] to reach a height of [tex]45[/tex] [tex]m[/tex].

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The explicit formula and the recursive formula are aₙ₋₁ +  200 and the rest is mentioned below.

A formula can be either recursive or explicit. The main difference between Recursive and Explicit is that Recursive formula gives the value of a specific term based on the previous term while Explicit formula gives the value of a specific term based on the position.

Given : a₁ =  -26, a₂ = 174, a₃ = 374, a₄= 574

The common difference that is d can be found out by

thus d = a₂ - a₁ = 174 -(- 26 ) = 174 + 26 = 200

And this is same for all the numbers of this particular sequence.

Thus aₙ = aₙ₋₁ + d

            = aₙ₋₁ +  200

Recursive formula :  aₙ₋₁ + d

That is the following sequence will have a common difference of 200 and the next 5th, 6th, 7th and nth term is going to be .

774 , 974 ... etc

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Answer:

23.01

Step-by-step explanation:

743.22-312.29-36.7-6.26

=387.97

410.98-387.97

=23.01

Least possible value of m and n are 6 and 10.

Given a perfect square is an integer that is also square of an integer.

The given m and n are positive integers such that mn > 15.

To find out the least possible value of mn;

As given 15mn is a perfect square.

[tex]\sqrt{15mn}[/tex] is to be an integer.

[tex]\sqrt{15mn} = \sqrt{5*3*m*n}[/tex]

Now, insert m = 3, n = 5;

⇒ [tex]\sqrt{5*3*m*n} = \sqrt{5^2* 3^2} = 15[/tex]

but it is mn < 15.

So, assume m = 3 * 2, n = 5 * 2;

⇒ [tex]\sqrt{5*3*m*n} = \sqrt{5*3*3*2*5*2} = \sqrt{5^2*3^2*2^2} = 30[/tex]

30 it is an integer.

As we solved that the least possible value of m and n are 6 and 10.  

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The inequality that represents, the number of shirts he needs to remove to meet the flight requirements is 0.75p + 50ibs  ≤ 49

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Let the weight of Rodney suitcase be p

First the contents inside must weigh less than 50lbs.

x < 50

The suitcase weighs 4 pounds and the contents he wants to pack weigh 49 pounds.

0.75p < 49

Therefore, 0.75p + 50ibs  ≤ 49

The inequality that represents, the number of shirts he needs to remove to meet the flight requirements is 0.75p + 50ibs  ≤ 49

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The false statement about the statement is (a) If you subtract 6 from b, it will be less than or equal to a.

From the question, the inequality is given as

y > x - 6

The ordered pair is given as

(a, b)

The above ordered pair implies that

(x, y) = (a, b)

So, we have

x = a and y = b

This means that

b > a - 6

Subtract 6 from both sides

b - 6 > a - 6 - 6

Evaluate

b - 6 > a - 12

Using the above as a guide, we cannot determine the direct relationship between variables a and b.

However, it is false that b is less than a

Hence, the false statement is (a)

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Complete question

The ordered pair (a,b) satisfies the inequality y > x - 6

Which statement is NOT true?

A. If you subtract 6 from b, it will be less than or equal to a.

B. If you add 6 to a, it will be greater than b.

C. a is greater than b.

D. If you add 6 to a, it will be less than b.

Answer: 20% of 25 is more than 25% of 16 if that is the question

I hope that is the question-

20% of 25 > 25% of 16

He has mowed the law before he makes a total of Dollar 300, The number of times he has to mow a lawn is 10

Joe mows a lawn, for which he charges = $ 30

Some one-time cleanup work, for which he is paid = $ 60

According to the question:

He has to mow the lawn before he makes a total of Dollar300

Number of times he has to mow a lawn =   300 /  30

The number of times he has to mow a lawn = is 10

He has mowed the law before he makes a total of Dollar 300, 10 times.

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slope of the rode is 0.015.

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The point with coordinate having same slope as with given coordinates can be plotted on the same line.

Here, it is given that :

When driving up a certain hill, we rise 15 feet for every 1000 feet that is :

for 15 feet up = 1000 feet forward

Now,

slope = upward distance / horizontal distance covered

slope = 15/1000

slope = 0.015

slope is a unitless quantity.

Therefore, slope of the rode is 0.015.

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Answer:

The first one is a function but the second one is not.

Step-by-step explanation:

Using the vertical line test, we can check if the graphs are a function or not. Every vertical line can only touch a graph once in order for the function to pass the Vertical Line Test. If a graph passes the Vertical Line Test, it's the graph of a function. The first one has no points intersecting each other if you draw a vertical line for each point. However, if you draw vertical lines for the second graph, the points vertically intersect each other, making it not a function.

Answer:

185

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

250

244

18

10

are one of the answers

give this 5 stars if correct

The possible change in volume that results from the error in measuring the radius is 32. 06 millimeters

It is important to note that the formula for volume of a sphere is expressed by;

Volume = 4/3 πr³

Given that;

Based on the information given, we have the measure of the radius to be 5 mm, with a possible measurement error of 0.1 mm

The original value of radius  = 5mm

Radius after the measurement error = 5 + 0. 1 = 5. 01mm

Let's substitute the values into the formula

Volume = 4/ 3 (3.14)(5)³

We then expand the bracket

Volume = 4/ 3 (392.5)

Volume = 523. 3 cubic millimeters

For radius of the measurement error = 5.01mm

Volume =  4/ 3 (3.14)(5.1)³

Then, expand the bracket

Volume = 4/3 (416.52)

Volume = 555. 4 cubic millimeters

Change in volume = 555. 4 - 523. 3 = 32. 06 cubic millimeters

Hence, the change in volume is given as 32. 06 cubic millimeters

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y= 3 {x}^{2} + 9x - 30[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The values of x where a parabola cuts the x - axis (y = 0) are the roots of the quadratic equation.

I.e -5 and 2 for the given problem.

and the equation can be represented as :

[tex]\qquad\displaystyle \tt \rightarrow \: y = a(x - x1)(x- x2)[/tex]

where, x1 and x2 are the roots of the quadratic equation, a is a constant value (depicting strech in curve)

Now, plug in the values :

[tex]\qquad\displaystyle \tt \rightarrow \: y= a(x- 2)(x - ( - 5))[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = a(x- 2)(x+ 5)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = a( {x}^{2} + 5x - 2x - 10)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y= a( {x}^{2} + 3x - 10)[/tex]

Now, we need to find the value of a, for that let's use the coordinates of a point lying on the curve (1 , -18)

[tex]\qquad\displaystyle \tt \rightarrow \: - 18 = a( {1}^{2} + 3(1) - 10)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: - 18 = a(1 + 3 - 10)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: - 18 = a( - 6)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: a = ( - 18) \div ( - 6)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: a = 3[/tex]

Now, we got all required values. let's plug the value of a in equation, and we will get the required equation of parabola.

[tex]\qquad\displaystyle \tt \rightarrow \: y= 3( {x}^{2} + 3x - 10)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y= 3 {x}^{2} + 9x - 30[/tex]

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Answer:

[tex]\textsf{Factored form}: \quad f(x)=3(x-2)(x+5)[/tex]

[tex]\textsf{Standard form}: \quad f(x)=3x^2+9x-30[/tex]

Step-by-step explanation:

Factored form of a quadratic function

[tex]f(x)=a(x-p)(x-q)[/tex]

where:

Given x-intercepts:

Substitute the given x-intercepts into the formula:

[tex]\implies f(x)=a(x-2)(x+5)[/tex]

To find a, substitute the given point (1, -18) into the equation and solve for a:

[tex]\implies -18=a(1-2)(1+5)[/tex]

[tex]\implies -18=a(-1)(6)[/tex]

[tex]\implies -6a=-18[/tex]

[tex]\implies a=3[/tex]

Therefore, the equation of the function in factored form is:

[tex]\boxed{ f(x)=3(x-2)(x+5)}[/tex]

Expand the brackets:

[tex]\implies f(x)=3(x^2+3x-10)[/tex]

[tex]\implies f(x)=3x^2+9x-30[/tex]

Therefore, the equation of the function in standard form is:

[tex]\boxed{f(x)=3x^2+9x-30}[/tex]

Answer:

g(-3) = 16

Step-by-step explanation:

To find g(-3), we need to plus -3 into the given function. So, g(-3) = |2(-3) - 10|. Now we solve using PEMDAS. Two times -3 is -6, then we have g(-3) = |-6-10| which is essentially g(-3) = |-16|. Lastly, we take the absolute value of |-16| which is just 16, therefore g(-3) = 16.

Through hypothesis testing, it can be explained that Type I error occurs when the allergist determines that the percentage of the population who are allergic to some cheese products is at least 30% when it is actually less than 30%. Similarly, Type II error occurs when the allergist assumes that the percentage of the population who are allergic to certain cheese products is less than 30% when it is actually at least 30%

There are two possible outcomes for hypothesis testing, which leads to two different sorts of conclusion-related errors. This is due to the possibility that the estimated value of the measure and the inference made about the population measure from the samples could diverge.

Let's say an allergist wants to investigate the claim that at least 30% of the population has a cheese allergy.

Let p represent the actual percentage of the population that were allergic to certain cheese products.

The following is how the hypotheses are put forth:

[tex]H_{0}:p < 0.3\\H_{a}:p\geq 0.3[/tex]

The two types of errors that can be committed by the allergist can be described as below:

(a) Type I error:

When the null hypothesis is assumed to be true when it is actually false, type I error arises.

When an allergist determines that the percentage of the population who are allergic to some cheese products is at least 30% when it is actually less than 30%, type I mistake has been committed.

(b) Type II error:

When the null hypothesis is unsuccessfully rejected even when it is false, type II error has occurred.

When an allergist assumes that the percentage of the population who are allergic to certain cheese products is less than 30% when it is actually at least 30%, type II error has occurred.

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Answer:

g = 2

Step-by-step explanation:

11- (15g - 13) = - 6 ( subtract 11 from both sides )

- (15g - 13) = - 17 ( multiply both sides by - 1 )

15g - 13 = 17 ( add 13 to both sides )

15g = 30 ( divide both sides by 15 )

g = 2

Answer:f(x)=x8−8x6+19x4−12x3+14x2−8x+9=x8−8x6+16x4+3x4−12x3+12x2+2x2−8x+8+1

which allows us to rewrite f(x) as

f(x)=x4(x2−4)2+3x2(x−2)2+2(x−2)2+1

The first three terms are clearly non-negative, and each reaches their minimum of 0 at x=2 (the first term also has a minimum at x=−2). Thus, the minimum of f(x) must be 1.

This can't really be generalized. (I mean, you can apply the approach generally, but it won't generally give you such a convenient result.) I'm not sure I would have looked for this decomposition of f(x) except for the presence of the question.

Step-by-step explanation:

Given:

percent of dividend = 6%

percent of interest = 9%

Total annual interest = $ 660

Let the amount invested in both stocks be x and y.

Annual interest on 6% dividend gives:

Annual interest on 9% interest rate:

The total annual interest is $ 660. We can write:

We are given that Nelson divided his investment in half. This implies:

Substituting, we have:

Divide both sides by 0.15:

Hence, the amount Nelson has invested:

Answer:

Nelson has $4400 invested in each investment

Chester made 9 sales and Vickie made 16 sales this week

Base salary of Vickie = $70

Vickie's commission per sale = $24

Base salary of Chester = $142

Chester's commission per sale = $9

Both people earned the same amount this week. Let x represent the number of sales made by Vickie, then sales made by Chester is x+7

Formulating the equation we get:

Base salary of Vickie + Vickie's commission per sale*Number of sales = Base salary of Chester + Chester's commission per sale*Number of sales

= 70 + 24x = 142 + 9(x+7)

70+24x = 142+9x+63

70+24x = 205+9x

15x = 135

x = 9

Chester sales = 9

Vickies sales = 9+7 = 16

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Answer:

  (d)  h(x) = 1/4x

Step-by-step explanation:

You want to know the inverse of the function f(x) = 4x.

The inverse of y = f(x) will be the solution to x = f(y).

  x = f(y)

  x = 4y . . . . . . substitute the argument in the function definition

  x/4 = y . . . . . divide by 4 to solve for y

The inverse function is ...

  h(x) = (1/4)x

Answer:

  x = 4

Step-by-step explanation:

You want the equation of a line that goes through point (4, 0) and has an undefined slope.

The slope of a line is the ratio of "rise" to "run." When the "run" is zero, the ratio involves division by zero, which results in the value "undefined." That is, a line with undefined slope has a "run" of zero, meaning it is a vertical line.

The equation for a vertical line is ...

  x = c . . . . . where c is some constant

We want the line to go through a point that has x-coordinate = 4, so that constant must be 4.

The equation is x = 4.

the general formula of a parabola is

we can replace the the points to find a,b and c

First (0,4)

Then (-5,1.5) and c=4

Answer: 62.752

Step-by-step explanation: 78.44$ - 20% = 62.752