heresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on the fifth test and still finish with an average score of 90 points?

96 points
97 points
98 points
99 points

Answer:

He traveled 165Miles.

Step-by-step explanation:

Simple math, if it took 3hrs and he was doing 55 miles per HOUR then multiply 55 by 3.

Answer:

165 miles

Step-by-step explanation:

The equation is d = rt.

The r, or rate is 55, and the t, time is 3. Multiply 55 by 3 to get 165.

Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.

To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.

First, find the slope (m) using the derivative of the function f(x) = √x:

f'(x) = 1 / (2√x)

Evaluate the derivative at x = 125:

f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10

Now, find the y-coordinate of the point on the function f(x) at x = 125:

f(125) = √125 = 5

So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.

Using the point-slope form of a linear equation, the equation of the tangent line can be written as:

y - 5 = (1/10)(x - 125)

To simplify, multiply through by 10:

10y - 50 = x - 125

Rearranging the equation, express it in the form y = mx + b:

y = (1/10)x - 75/10 + 5

Simplifying further:

y = (1/10)x - 75/10 + 50/10

Combining the terms:

y = (1/10)x - 25/10

Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.

Now, use this tangent line to approximate the value of √125.2:

Substitute x = 125.2 into the equation:

y = (1/10)(125.2) - 25/10

y = 12.52 - 2.5

y ≈ 10.02

So, using linear approximation, approximate √125.2 as approximately 10.02.

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It is given that angle Q is 75 degrees and arc QS is 133 degrees.

Use inscribed angle theorem on angle RQS to get:

It is known that the sum of all arcs of circle is 360 degrees so it follows:

Hence the measure of arc QR is 77 degrees.

O

Answer:P=408/A=9,920

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

Answer:

58°

Step-by-step explanation:

A flat angle equals 180°, so we can simply subtract the given angle from the total, 180.

180 - 122 = 58

So, ∠CDE = 58°.

Good luck n.n

Answer:

58°

Step-by-step explanation:

∠AEC =∠AED+∠CED

So,

∠AEC=180°

∠AED=122°

∠CED=?

∠AEC =∠AED+∠CED

180°=122°+∠CED

∠CED=180°-122°

∠CED=58°

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer: 126 samples

Step-by-step explanation:

Given that :

Standard deviation (σ) = 0.7

Mean (m) = 7.3

Error (E) = 0.08

α = 80%

The sample size n can be obtained using the relation :

n = [(Zcrit * standard deviation) / Error]^2

The Zcritical at 80% = 1.282

Hence,

n = ((1.282 * 0.7) / 0.08)^2

n = (0.8974 / 0.08)^2

n = 11.2175^2

n = 125.83230625

n = 126

Answer:

???

Step-by-step explanation:

I cannot give you a defined amount for how many books Eli or Japera have, because you didn’t assign values for either of them. However, if we say Japera has x books, then Eli would have 2x books.

The variance of X-bar is 12.25.

To find the variance of the sample mean (X-bar) for a normally distributed population, we can use the formula:

Variance of X-bar = (Population Variance) / (Sample Size)

In this case, the population mean (μ) is 138 and the standard deviation (σ) is 14. The population variance (σ^2) can be calculated as the square of the standard deviation, which gives us 14^2 = 196.

Since we are sampling with a batch size of 16, the sample size is also 16.

Now we can substitute these values into the formula:

Variance of X-bar = 196 / 16 = 12.25

Therefore, the variance of X-bar is 12.25.

It's important to note that the sample mean (X-bar) is an unbiased estimator of the population mean (μ). The smaller the sample size, the greater the variability of X-bar around the population mean.

As the sample size increases, the variance of X-bar decreases, indicating a more precise estimate of the population mean.

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The value of x is -6 for -5x = 30

Given Expression:

-5x = 30

Dividing -5 on both side,

x = -6.

Therefore, the answer is -6.

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Answer:

Step-by-step explanation:

Use the coordinates (30, 1) and (150, 5) to solve this. Time is always an x thing, while things like distance and weight and value are y things. Put them into the slope formula:

\(m(\frac{miles}{sec})=\frac{5-1}{150-30}=\frac{4}{120}=\frac{1}{30}\)  This translates to:

The rocket is ascending at a constant rate of 1 mile every 30 seconds; or, conversely, for every 30 seconds the rocket is flying, it is traveling 1 mile.

Answer:

36

Step-by-step explanation:

5:4 ratio 45/5 is 9 so 9 x 4 =36

Answer:

7/6

Step-by-step explanation:

You would change 1/2 to 6/12, 1/4 to 3/12, and you wouldnt change 5/12. you add them all together to get 14/12 which you can simplify to 7/6. Sorry if im wrong.

\(f(x)=3x+2+x\) find f(2)

Substitute:

\(f(2)=3(2)+2+(2)\)

\(f(2)=6+2+2\)

\(\fbox{f(2) = 10}\)

The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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Answer:

-2/7

Step-by-step explanation:

Going from (7,-1) to ( 21,-5) we see x (the 'run') increasing by 14 and y (the 'rise') decreasing by 4.  Thus, the slope of the line connecting these two points is m = rise/run = -4/14, or -2/7.

The limit of the expressions \(3^{2n} + 1\) and \(4^{n + 2} - 3\) for n to infinity is infinity

The expressions are given as:

\(3^{2n} + 1\)

\(4^{n + 2} - 3\)

The limits of the expressions as they approach infinity are represented as:

\(\lim_{n \to \infty} 3^{2n} + 1\) and \(\lim_{n \to \infty} 4^{n + 2} - 3\)

Substitute \(\infty\) for n in both expressions

\(\lim_{n \to \infty} 3^{2 * \infty} + 1\) and \(\lim_{n \to \infty} 4^{\infty + 2} - 3\)

Solve both expressions independently;

\(\lim_{n \to \infty} 3^{2n} + 1 = 3^{2 * \infty} + 1\)

Evaluate the product

\(\lim_{n \to \infty} 3^{2n} + 1 = 3^{\infty} + 1\)

Evaluate the exponent

\(\lim_{n \to \infty} 3^{2n} + 1 = \infty + 1\)

Evaluate the sum

\(\lim_{n \to \infty} 3^{2n} + 1 = \infty\)

Also, we have:

\(\lim_{n \to \infty} 4^{n + 2} - 3 = 4^{\infty + 2} - 3\)

Evaluate the sum

\(\lim_{n \to \infty} 4^{n + 2} - 3 = 4^{\infty} - 3\)

Evaluate the exponent

\(\lim_{n \to \infty} 4^{n + 2} - 3 =\infty - 3\)

Evaluate the difference

\(\lim_{n \to \infty} 4^{n + 2} - 3 =\infty\)

Hence, the limit of the expressions for n to infinity is infinity

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1. Using the conversion rate of 1 kilometer = 0.621371 miles, Oskar determine the distance of his trip in miles.

2. Oskar's 165 kilometer trip is equivalent to 101.87995 miles.

3. The difference between kilometers and miles is that a kilometer is a metric unit of length and a mile is an imperial unit of length.

Paragraph 1: To convert kilometers to miles, Oskar will need to use the conversion rate of 1 kilometer = 0.621371 miles.

This conversion rate can be found on any formula sheet, and it will help Oskar determine the distance of his trip in miles.

Paragraph 2: To convert 165 kilometers into miles, Oskar will simply need to multiply 165 by 0.621371.

The result will give him the distance in miles.

For example, 165 * 0.621371 = 101.87995 miles. Therefore, Oskar's 165 kilometer trip is equivalent to 101.87995 miles.

Paragraph 3: Oskar might be traveling in a country where the maps are labeled in kilometers instead of miles. This is common in many countries, including most of Europe and many countries in Asia. The difference between kilometers and miles is that a kilometer is a metric unit of length and a mile is an imperial unit of length. A kilometer is equal to 0.621371 miles, while a mile is equal to 1.60934 kilometers. It's important to be aware of the units used in different countries to ensure accurate navigation.

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Answer:

(4,4)

Step-by-step explanation:

because it's right in between the school and bank therefore equal distance to both

Answer:

(6,8)

Step-by-step explanation:

the same distance from bank to school (sorry if im wrong)

Answer:

B: 1.53

Step-by-step explanation:

The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)

The translation that has the same effect as the composition of translations will be;

⇒ (x, y) → (x + 4, y + 12)

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The translation is,

⇒ (x y) → (- x + 6,y + 7) followed by (x y) → (x - 2,y + 5).

Now,

In this case we have this Composition of translations:

⇒ (x y) → (- x + 6,y + 7) followed by (x y) → (x - 2,y + 5).

Here, You can notice that 6 units are add from the x-coordinate in the first transformation and then 2 units are subtracted. So, the sum is:

⇒ 6 + (-2) = 4

And, Observe that, in the first transformation, 7 units are added to the y-coordinate and then 5 units are added. The sum is:

⇒ 7 + 5 = 12

Thus, The single Translation that has the same effect as the given Composition of translation is:

⇒ (x, y) → (x + 4, y + 12)

Therefore, The translation that has the same effect as the composition of translations will be;

⇒ (x, y) → (x + 4, y + 12)

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Answer:

(68.58,71.82)

Step-by-step explanation:

Answer:

1/8 more hours on her history assignment.

Answer:

Her new hourly wage will be $23.10.

Step-by-step explanation:

First, let's find out how much her raise is in dollars.

0.05 x 22 = 1.10

Then, let's add that to her current wage.

1.10 + 22.00 = $23. 10

The amount of money of her new hourly wage will be $23.1 per hour.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Sara's boss informed her she is getting a 5% raise. She currently makes $22 per hour.

Let 'y' be the new hourly wage. Then the equation is given as,

0.05 = (x - $22) / $22

x - $22 = $1.1

x = $23.1 per hour

The amount of money of her new hourly wage will be $23.1 per hour.

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The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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Answer:

305,080.0809

Step-by-step explanation:

3 x 100,000 : digit 3 is in the hundred thousands place

5 x 1000 : digit 5 is in the thousands place

8 x 10 : digit 8 is in the tens place

8 x 1/100 : digit 8 is in the hundredths place which means it is the second number after the decimal

9 x 1/10,000 : digit 9 is in the ten thousandths place which means it is the fourth number after the decimal

we get the following number:

305080.0809

Answer:

\( x = 3 \)

Step-by-step explanation:

To find the value of x, we need an equation to solve for x.

Given that T is the midpoint of segment SU, it therefore means that, T divides SU into two equal parts, ST = TU.

\( ST = 8x + 11 \)

\( TU = 12x - 1 \)

\( ST = TU \)

\( 8x + 11 = 12x - 1 \) (substitution)

Subtract 12x from each side

\( 8x + 11 - 12x = 12x - 1 - 12x \)

\( -4x + 11 = - 1 \)

Subtract 11 from both sides

\( -4x + 11 - 11 = - 1 - 11 \)

\( -4x = - 12 \)

Divide both sides by -4

\( \frac{-4x}{-4} = \frac{-12}{-4} \)

\( x = 3 \)

Answer:x=3

Step-by-step explanation: