1. What is the value of n in -57 - n = -144?
A-201
B-87
C 87
D 201

Theodore 84% of the questions right.

If you wanted to know the percentage he got wrong then it is 16% wrong and 84% right.......

The tax money given by Andy is equivalent to $151.83.

A pie chart is used to describe the data converted to equivalently proportional circle sectors.

Given is that a questionnaire provides 58 Yes, 42 No, and 20 no-opinion answers.

Total opinion polls - 58 + 42 + 20 = 120.

120 opinions cover 360°.

1 opinion will cover - (360/120)°.

58 opinions will cover - (360/120 x 58)° = 3 x 58 = 174°

Therefore, the 58 yes opinions will cover 174 degrees.

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Answer:

6 pencils

Step-by-step explanation:

120*4=480, 480/80=6

Answer:

ben

5/12

Step-by-step explanation:

1 1/2+2 1/3+3 1/4 = 22/3 -dan

3 1/4+4 1/2 = 31/4 -ben

ben - dan

31/4-22/3

=5/12

9514 1404 393

Answer:

  (f•g)(x) = 3x^3 +6x^2 -5x -10

Step-by-step explanation:

  (f•g)(x) = f(x)•g(x) = (x +2)(3x^2 -5)

  = x(3x^2 -5) +2(3x^2 -5) . . . . . . . . use the distributive property

  = 3x^3 -5x +6x^2 -10 . . . . . . . and again

  (f•g)(x) = 3x^3 +6x^2 -5x -10 . . . . put in standard form

Answer:

in general, the value of a car decreases with age what would ne the correlation between the age and values of all cars -1, 0.7, 1, -0.7​

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

Answer:

There are 15 more measles vaccines than polio vaccines

Step-by-step explanation:

Represent Polio with P and Measles with M

Given

5P + 3M = 225

P + M = 60

Required

How much is M greater than P; M - P

Make M the subject of formula in the second equation

\(M = 60 - P\)

Substitute this in the first equation

\(5P + 3M = 225\) becomes

\(5P + 3(60 - P) = 225\)

Open the bracket

\(5P + 180 - 3P = 225\)

Collect Like Terms

\(5P - 3P = 225 - 180\)

\(2P = 45\)

Divide both sides by 2

\(P = 22.5\)

Substitute 22.5 for P in \(M = 60 - P\)

\(M = 60 - 22.5\)

\(M = 37.5\)

Calculate the difference; M - P

\(M - P = 37.5 - 22.5\)

\(M - P = 15\)

Hence, there are 15 more measles vaccines than polio vaccines

Answer:

d = 10mm

r = 5mm

Step-by-step explanation:

the radius is half way across the circle which is given to you so the radius is 5mm. whereas as the diameter is the full way across the circle so it is double the radius so in this case the diameter is 10mm.

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

force applied over a body can compress a body which would change it's density, increase it's density which means decrease it's volume as they are inversely proportional

may this help u

Answer:force applied over a body can compress a body which would change it's density, increase it's density which means decrease it's volume as they are inversely proportional.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

you are multiplying 7 by its self 5 times

Answer:

c. 7x7x7x7x7

Step-by-step explanation:

\(7^{5}\) = 16807

7x5= 35. wrong

5x5x5x5x5x5x5= 78125 wrong

7x7x7x7x7= 16807 correct

\(5^{7}\)= 78125 wrong

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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Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.

Answer:

4224 cm3

Step-by-step explanation:

V= w•h•l

4224 = 22•12•16

The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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Answer:

c 57

Step-by-step explanation:

Answer:

Caiden's heart will beat about 2,592,000 times in 40 years if his heart rate is 70 beats per minute.

Step-by-step explanation:

To find this, first multiply the number of minutes in 40 years by the number of beats per minute to find the total number of beats: 40 years * 365 days/year * 24 hours/day * 60 minutes/hour * 70 beats/minute = 2,592,000 beats. This is a rough estimate, since the number of days in a year and the number of hours in a day can vary slightly. However, it gives a good approximation of the number of beats Caiden's heart will make in 40 years.

Answer:

H= -35/4

Decimal form: -8.75

Explanation:

Answer:

x = 0

Step-by-step explanation:

-3x + 6(-2+5x) = -12

-3x - 12 + 30x = -12

27x = 0

x = 0

Answer:

Hence, the probability of a successful site is :

\(P(\text{succes sites})=\frac{8}{9}=89\%\)

Step-by-step explanation:

Given :

\(7\) of the \(14,XYZ\) sites have had \(95\%\) or higher widget production success rate in the last month

To find :

The probability that a successful site will be selected.

We can select  either of \(8\) sites out of \(9\).

These \(8\) sites can be selected in \(8\) ways.

Total sites\(=9\)

Therefore, the probability of a successful site is :

\(P(\text{succes sites})=\frac{8}{9}=89\%\)

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Answer:

Parts of the expression:

b: a variable representing a quantity that can vary or change.

12: a constant representing a fixed value.

r: a variable representing a quantity that can vary or change.

Word expression:

"Add twelve times the quantity of r to b."

Step-by-step explanation:

Answer:

To solve a geometric shape, you need to know its properties such as the number of sides, angles, and other measurements that are relevant to the particular shape. Here are some steps to solve a geometric shape:

1. Identify the shape: Determine the name of the shape, such as a square, circle, triangle, or rectangle.

2. Determine the properties: Find out the properties of the shape based on its name. For example, a square has four equal sides and four right angles.

3. Measure the dimensions: Measure the dimensions of the shape such as the length of the sides, the diameter, or the radius.

4. Use formulas: Use the appropriate formulas to calculate missing measurements such as the area or perimeter of the shape.

5. Check your work: Finally, check your work to ensure that all calculations and measurements are correct.

Remember that the solution to a geometric shape problem will depend on the specific properties and measurements of that shape.

Answer:

Step-by-step explanation:

Arithmetic sequences are represented by the following equation;

The common difference is the difference between the consecutive terms:

Therefore, the equation that represents this sequence:

Now, if we want to find the 45th term, substitute n=45:

Answer:

a. parameter

b. descriptive statistics

Step-by-step explanation:

The values of the population charactersitics are summarized by certain numerical descriptive measures called parameters.

The observations composing a sample are used to calculate a corresponding numerical descriptive measure called a statistic.

a. The percent of Americans is of a population and therefore it is a parameter not a statistics.

b. Descriptive statistics deals with the collection, summarization and display of data.

Inferential statistics deals with conclusions drawn based on a sample.

This is descriptive statistics because it is displaying of data collected from a population of America.

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Answer:

Expected value = 190

Variance = 4000

Step-by-step explanation:

Let X be the number of the trials until the third success of the bad pump.

This implies that X is a negative binomial distribution having θ = 20% = 0.2.

Now, if for example it will take X trials to use up the three pumps, then the total time is 10 min/trials + extra 10 minutes for the 3 bad pumps

This means the total time is written as;

T = 10X + (10 + 10 + 20)

T = 10X + 40

Mean which is also expected value of X is;

μ_x = 3/0.2 = 15

Variance of X is; σ²_x = 40

Thus;

Mean of T will be;

μ_T = 10μ_x + 40

μ_T = 10(15) + 40

μ_T = 190

Also, variance of T will be;

σ²_T = 10²•σ²_x

σ²_T = 100 × 40

σ²_T = 4000