Will 10 + x to the second power be greater than 2 to the x power

A number multiplied by itself.

What is square?

In mathematics, a square is a number that is obtained by multiplying a number by itself. It is also a geometric shape with four equal sides and four right angles. The area of a square is calculated by multiplying the length of one of its sides by itself. The formula for calculating the area of a square is A = s^2, where A is the area and s is the length of one side.

Squares have many important applications in mathematics, including in algebra, geometry, trigonometry, and calculus. They are used in the Pythagorean theorem, which relates to the sides of a right triangle, and they are used to represent variables in algebraic equations. Squares are also important in geometry, where they are used to construct geometric shapes and to calculate their areas and perimeters.

The better definition of squares is:

A number multiplied by itself.

In mathematics, a square refers to the product of a number multiplied by itself. For example, the square of 4 is 16, because 4 multiplied by 4 equals 16. Squares have a variety of important applications in mathematics, including in geometry, algebra, and calculus.

While a result that has been proved to be true is sometimes referred to as a "square" in certain contexts, it is not the primary definition of the term. Similarly, a triangle with a right angle is referred to as a "right triangle" or a "right-angled triangle," but not a square.

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The mean for grouped data can be calculated when data has been grouped into class intervals in a frequency distribution. (Option A)

When data has been grouped into class intervals, it is not possible to calculate the exact mean of the data. Instead, we use the midpoint of each class interval as a representative value for that interval. Then, we calculate the weighted average of these midpoints to find the mean for grouped data.

Options C and D, the variance and standard deviation, respectively, cannot be directly computed from grouped data. However, we can estimate them using the assumed normal distribution of the data within each class interval and the mean for grouped data.

Therefore, the correct answer is option A: the mean for grouped data can be calculated when data has been grouped into class intervals in a frequency distribution.

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Answer: question#7 is 7/12

question#8 is 1  3/8

question#5 is 1/2

question#6 is 12

question#9 is 1  1/6

question#10 is 31/40

question#11 is 3/4

Step-by-step explanation: give brainliest

Question #5: Option A, [tex]\frac{1}{2}[/tex]

Question #6: Option A, 12

Question #7: Option A, [tex]\frac{7}{12}[/tex]

Question #8: Option D, [tex]1\frac{3}{8}[/tex]

Question #9: Option D, [tex]1\frac{1}{6}[/tex]

Question #10: [tex]\frac{31}{40}[/tex]

Question #11: [tex]\frac{3}{4}[/tex]

Pls mark brainliest

Answer:

Your answer should be A

Answer:

40-m=21

40-40-m=21-40

m=21-40

m=-19

The parent function which is represented by the given table as required in the task content is; Choice B. f(x) = |x|.

It follows from the task content that the parent function which is represented by the table is to be determined.

On this note, by observation of the function; the values of y represent the positive version of x.

Consequently, it follows that the table represents the absolute value function.

Therefore, Choice B; f(x) = |x| is correct.

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Stop using brainly. This whole website has became a big money grab over the last few months and they will remove all your posts and answers unless you pay them money. I've had it happen several times now.

The expanded form of 2d with an exponent of -5 is 32d⁵

2d with an exponent of -5

[tex] {(2d)}^{ - 5} [/tex]

[tex] = \frac{1}{ {(2d)}^{5} } [/tex]

expand

[tex] = \frac{1}{2d \times2d \times2d \times2d \times2d } [/tex]

[tex] = {32d}^{5} [/tex]

Therefore, 2d with an exponent of -5 is 32d⁵

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The function computes the test statistic for the relationship between total serum cholesterol and coronary heart disease, given a table with two columns: "totchol" and "anychd".

The function in Python that computes the test statistic:

import pandas as pd

import numpy as np

from scipy.stats import t

def compute_test_statistic(data):

   """

   Compute the test statistic for the relationship between total serum cholesterol and coronary heart disease.

   Parameters:

   -----------

   data: pandas.DataFrame

       A DataFrame with two columns: "totchol" (total serum cholesterol) and "anychd" (whether or not the person had coronary heart disease)

   Returns:

   --------

   float

       The test statistic

   """

   # Compute the mean total serum cholesterol for each group (with and without coronary heart disease)

   group_means = data.groupby("anychd").mean()["totchol"].values

   # Compute the standard deviation of the total serum cholesterol for each group

   group_std = data.groupby("anychd").std(ddof=1)["totchol"].values

   # Compute the sample size for each group

   group_n = data.groupby("anychd").count()["totchol"].values

   # Compute the pooled standard error

   pooled_se = np.sqrt(np.sum((group_n - 1) * group_std ** 2) / np.sum(group_n - 2))

   # Compute the t-value

   t_value = (group_means[1] - group_means[0]) / (pooled_se * np.sqrt(1/group_n[0] + 1/group_n[1]))

   # Compute the degrees of freedom

   df = np.sum(group_n) - 2

   # Compute the p-value (two-sided test)

   p_value = 2 * t.cdf(-np.abs(t_value), df)

   # Return the test statistic

   return t_value

This function assumes that the input table is in the form of a pandas DataFrame, with columns "totchol" and "anychd".

It uses the groupby method to split the data into two groups based on the "anychd" column, and then computes the mean, standard deviation, and sample size for each group. It then uses these values to compute the test statistic using the formula given in the prompt.

Finally, it uses the t.cdf function from the scipy.stats module to compute the p-value for a two-sided test.

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The value of angle G is  31⁰.

The value of line GF is 5.

The value of X is 13.

The value of Y is 2.

The value of angle G is calculated as follows;

4x + 7 = 5x - 6

4x - 5x = - 6 - 7

-x = -13

x = 13

Angle H = angle F = 4x + 7

= 4(13) + 7

= 59⁰

Angle G = ¹/₂ (180 - 2x59)

Angle G = ¹/₂(180 - 118)

Angle G = 31⁰

The value of Y is calculated as follows;

y + 3 = 2y + 1

y - 2y = 1 - 3

-y = -2

y = 2

GF = 2y + 1

GF = 2x2 + 1 = 5

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The "possible-sources" of in the measurement error of an experiment are Instrument error, Human error, sampling error and environmental factors, these sources "may" or "may-not" be enough to account for the percent differences calculated from the data.

There are several possible sources of "measurement-error" in an experiment which affect the accuracy and precision of the results.

These sources include instrument error, human error, environmental factors, and sampling error.

(i) "Instrument-Error" : is defined as inaccuracies in the measuring instruments used in the experiment. This include issues such as calibration errors, sensitivity of the instruments.

(ii) "Human-Error" can arise from mistakes made by experimenters during data collection or analysis, such as misreading measurements or recording data incorrectly.

(iii) "Environmental-Factors", such as temperature, humidity, or electromagnetic interference, can also cause error into experiment if they affect performance of measuring instruments.

(iv) "Sampling-Error" occur when a subset of the population is used for the experiment, and the results are generalized to the entire population.

Depending on the magnitude of these sources of error, they may or may not be enough to account for the percent differences calculated from the data.

If the measurement errors are small and within an acceptable range for the experiment, they may not significantly impact the results.

If the errors are large or systematic, they can introduce significant bias into the data and affect the percent differences calculated.

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The given question is incomplete, the complete question is

Discuss the possible sources of measurement error in an experiment. Are these sources of error enough to account for the percent differences you calculated from your data? write out your answer in a clear and well supported paragraph.

Applying the Angle Bisector Theorem, the length of the segments are:

AB = 15;    AC = 20.

The Angle Bisector Theorem states that in a triangle, if a line segment bisects an angle of the triangle and intersects the opposite side, then it divides that side into two segments that are proportional to the lengths of the other two sides of the triangle.

Therefore, we would have the following equation based on the angle bisector theorem:

5y/8 = 4y - 1 / 6

Cross multiply:

8(4y - 1) = 6(5y)

32y - 8 = 30y

32y - 30y = 8

2y = 8

y = 4

AB = 4y - 1 = 4(4) - 1 = 15

AC = 5y = 5(4) = 20

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Answer:

The answer for anle X is 66°

Step-by-step explanation:

Base angles of an isosceles triangle are equal

<x=<y

<x+<y+<w=180

let<x=X

Remember <X=<Y

X+X+48=180

2X+48=180

2X=180-48

2X=132

divide both sides by 2

X=66°

<X=X

<X=66°

The surveyor must test at the slightest 385 voters within the expansive city to build a 95% certainty interim for the extent who bolster the occupant candidate with an edge of blunder no bigger than 0.05.

To discover the test measure required to attain an edge of mistake of no more than 0.05 for a 95% certainty interim, able to utilize the taking after equation:

n = (z[tex]^{2}[/tex] * p * q) / E[tex]^{2}[/tex]

where:

n is the test estimate

z is the z-score related to the specified level of certainty (in this case, 95% corresponds to a z-score of 1.96)

E is the specified edge of blunder (in this case, 0.05)

Substituting the given values, we get:

n = (1.96[tex]^{2}[/tex] * 0.5 * 0.5) / 0.05[tex]^{2}[/tex]

n = 384.16

thus, we get a test measure of 385.

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The fireworks will explode after 1.125 seconds of launching Firework B.

Distance = Speed × time

Let time = t

Firework A:

[tex]D(t) = 360t - - - (1)[/tex]

Firework B:

[tex]D(t) = 280(0.25) + 280t[/tex]

[tex]D(t) = 70 + 280t - - - (2)[/tex]

Equate 1 and 2 :

[tex]360t = 280t + 70[/tex]

Collection of like terms

[tex]360t - 280t = 70[/tex]

[tex]80t = 70[/tex]

[tex]t = 70/80[/tex]

[tex]t = 0.875 seconds[/tex]

[tex]0.875 + 0.25 = 1.125 seconds[/tex]

Therefore, the fireworks will explode after 1.125 seconds of launching Firework B.

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The product of 7 and 4 is 28, which is equal to the number of tiles in the product area.

Therefore, this configuration represents the factors of the quadratic expression [tex]x^2 + 9x + 8.[/tex]

To represent the factors of the quadratic expression x^2 + 9x + 8 using algebra tiles, we need to arrange the tiles into two rectangular areas representing the two factors, and the total number of tiles in the product area should be equal to the product of the number of tiles in each factor area.

Based on the information given, we can arrange the tiles as follows:

Factor 1 area: 7 tiles, with 1 x-tile and 6 blank tiles (represented by underscores):

Copy code

x

_

_

_

_

_

_

Factor 2 area: 4 tiles, with 1 x-tile and 3 blank tiles (represented by underscores):

Copy code

x

_

_

_

Product area: 28 tiles, with 1 x^2-tile, 9 x-tiles, 9 negative tiles (represented by red tiles), and 9 blank tiles (represented by underscores):

Copy code

x^2   -     -     -

x     x     x     x

_     _     _     _

_     _     _     _

_     _     _     _

_     _     _     _

_     _     _     _

To check that this configuration represents the given quadratic expression, we can count the number of tiles in each area and verify that the product of the two factors equals the number of tiles in the product area:

Factor 1 area: 7 tiles

Factor 2 area: 4 tiles

Product area: 28 tiles.

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In order to change the ratio of toddlers to infants from 7 to 3 to 7 to 5, with an increase of 12 more infants, the number of toddlers in the daycare center has to be 42

Let the coefficient of the ratio be x

Therefore, before the addition of the 12 infants

the number of toddlers = 7x

number of infants = 3x

After the addition of 12 infants

the number of toddlers = 7x

the number of infants = 3x+12

According to the question, new ratio = 7 : 5

[tex]\frac{7x}{3x+12}=\frac{7}{5}[/tex]

5(7x) = 7(3x+12)

35x = 21x + 84

35x - 21x = 84

14x = 84

x = 6

Therefore, the original number of infants = 3 * 6 = 18

the number of toddlers = 7x = 7 * 6 = 42

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If twelve more infants join the day care to change the ratio to 7 to 5, then 126 toddlers are there at this day care center.

Let's first set up the initial ratio using variables: let T represent the number of toddlers and I represent the number of infants. The ratio of toddlers to infants is 7 to 3, so we can write:

T/I = 7/3

To solve for the actual number of toddlers and infants, we need more information. We are told that twelve more infants join the day care, so the new number of infants is I + 12. The new ratio is 7 to 5, so we can write:

T / (I + 12) = 7/5

Now we have two equations with two unknowns, so we can solve for T. First, we can use the initial ratio to solve for I in terms of T:

T/I = 7/3

3T = 7I

I = (3/7)T

Now we can substitute this expression for I into the second equation:

T / (I + 12) = 7/5

T / ((3/7)T + 12) = 7/5

Multiplying both sides by ((3/7)T + 12) gives:

T * (7/5) = ((3/7)T + 12) * (7/5)

Simplifying:

21T / 35 + 84 / 5 = 49T / 35

84 / 5 = 28T / 35

Solving for T:

T = (84/5) * (35/28)

T = 126

Therefore, there are 126 toddlers at this day care center.

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The missing values in the table that contains the equivalent ratios between X and Y would be = 5

An equivalent ratio is defined as the constant that exists between two different numbers when compared.

The figures in the table is as follows:

X= 1 3 ? 7

y = 5 15 25 35

If X = 1 when y = 5, X= ? when y= 25

That is;

1 =5

?= 25

? = 25/5 = 5

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Answer: To find the new balance including interest, we need to take into account the interest charged on the current balance and the new purchase.

First, let's calculate the interest charged on the current balance. The monthly interest rate is 18.99% / 12 = 1.5825%.

The interest charged on the current balance is therefore:

interest on current balance = 0.015825 * 9160.00 = 144.98

So the total balance including interest for the current month is:

current balance including interest = 9160.00 + 144.98 = 9304.98

Next, let's calculate the interest charged on the new purchase of $1,098.00. The interest charged on the new purchase is:

interest on new purchase = 0.015825 * 1098.00 = 17.39

So the total balance including interest for the new purchase is:

new balance including interest = 1098.00 + 17.39 = 1115.39

Finally, we add the current balance including interest and the new balance including interest to get the total balance including interest:

total balance including interest = current balance including interest + new balance including interest

total balance including interest = 9304.98 + 1115.39

total balance including interest = 10420.37

Therefore, the new balance including interest is $10,420.37.

Step-by-step explanation:

The proof that Proven AB ≅ CD and BC ≅ DA is given below.

A parallelogram is a quadrilateral with opposite sides parallel.

The Proof: given ABCD is a parallelogram

In parallelogram ABCD, compare triangles ABC and CDA. In these triangles (See attached image)

AC = CA (common side)

∠BAC = ∠DCA (alternate interior angles)

∠BCA = ∠DAC (alternate interior angles)

Hence by the Angle-Side- Angle postulate, both the triangles are congruent and the corresponding sides are equal.

Therefore we have AB = CD, and BC = AD.

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Thus, the values of x,y, and z for the similar triangles are obtained:

Part A: y = 6.70; z = 13.41 and x = 6.

Part B: z = 17.88 ; y = 35.77 and x = 32.

Congruent triangles and similar triangles are two distinct but closely related concepts. There are two different kinds of similar triangle problems: those that ask you to determine whether a set of triangles is similar and those that ask you to determine the angles and side length of similar triangles that are missing.

Part A: using similarity of the triangle, taking the ratios of corresponding side.

y/15 = x/z = 3/y

Consider

y/15 = 3/y

y² = 15*3

y² = 45

y = 6.70

Now,

applying Pythagorean theorem:

y² = 3² + x²

x² = y² - 3²

x² = 45 - 9

x² = 36

x = 6

And,

z² = 12² + x²

z² = 144 + 36

z² = 180

z = 13.41

Part B:using similarity of the triangle, taking the ratios of corresponding side.

z/(x + 8) = 16/y = 8/x  ... eq 1

applying Pythagorean theorem:

z² = 16² + 8²

z² = 256 + 64

z² = 320

z = 17.88

Now, from eq 1

z² = 8(8 +x)

320 = 64 + 8x

8x = 320 - 64

x = 256/8

x = 32

Now,

applying Pythagorean theorem:

y² = 16² + x²

y² = 256 + 32²

y² = 1280

y = 35.77

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Answer: x-intercept is (3/2, 0),  y-intercept is (0, -3)

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = (5/2)^x - 5, we need to find the minimum and maximum values of y that can be obtained by plugging in all possible x values.

To find the maximum value of f(x), we can take the limit as x approaches infinity:

Thus, the in a triangle PQR, with the sides PQ, QR and PR formed a right angled triangle.

If we know the lengths of two of the sides of a right triangle, we can apply the Pythagorean theorem to determine the third side.

Given data:

IN right triangle, the longest side is called the hypotenuse.

So,

hypotenuse H = 25

Now using Pythagorean theorem:

(PR)² = (PQ)² + (QR)²

(25)² = (20)² + (15)²

625 = 400 + 225

625 = 625

LHS = RHS

Thus, the in a triangle PQR, with the sides PQ, QR and PR formed a right angled traingle.

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Complete question:

In a triangle PQR,the sides PQ, QR and PR measure 15 in, 20 in and 25 in respectively. prove that triangle PQR, is the right traingle.

the volume of the apple would increase by ΔVtotal over the five-week period

The volume of the apple is directly proportional to the cube of its radius. Therefore, if the radius increases by 1/8 inch per week for five weeks, the total increase in radius would be 5/8 inches.

To calculate the change in volume, we can use the formula V = (4/3)πr^3.

Initially, let's assume the radius of the apple is r.

After the first week, the radius would be r + 1/8 inches. Therefore, the new volume would be:
[tex]V_1 = (4/3)\pi(r + 1/8)^3[/tex]

To calculate the change in volume, we can subtract the initial volume from the new volume:

[tex]\DeltaV_1 = V_1 - V_0[/tex]

where V0 is the initial volume of the apple.

Similarly, after the second week, the radius would be r + 2/8 inches, and the new volume would be:

[tex]V2 = (4/3)\pi(r + 2/8)^3[/tex]

The change in volume after the second week would be:

ΔV2 = V2 - V1

We can repeat this process for the remaining three weeks and find the total change in volume by adding all the individual changes:

ΔVtotal = ΔV1 + ΔV2 + ΔV3 + ΔV4 + ΔV5

By simplifying this equation, we get:

[tex]\Delta V_{total }=  (4/3) \pi r^3[(r + 1/8)^3 + (r + 2/8)^3 + (r + 3/8)^3 + (r + 4/8)^3 + (r + 5/8)^3 - 5r^3][/tex]

Therefore, the volume of the apple would increase by ΔVtotal over the five-week period.

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The volume of the apple will increase by [tex](4/3)π[(r0 + 5/8)^3 - r0^3][/tex] during the five-week period.

Assuming that the apple is a perfect sphere, we can use the formula for the volume of a sphere:

[tex]V = (4/3)πr^3[/tex]

where V is the volume of the sphere and r is the radius of the sphere.

Let's start by finding the initial volume of the apple. We are not given the initial radius, so let's assume it to be r0.

[tex]V0 = (4/3)πr0^3[/tex]

After one week, the radius increases by 1/8 inch, so the new radius is r1 = r0 + 1/8. The new volume is:

[tex]V1 = (4/3)π(r0 + 1/8)^3[/tex]

After two weeks, the radius increases by another 1/8 inch, so the new radius is r2 = r0 + 2/8. The new volume is:

[tex]V2 = (4/3)π(r0 + 2/8)^3[/tex]

Similarly, after three weeks, the new radius is r3 = r0 + 3/8 and the new volume is:

[tex]V3 = (4/3)π(r0 + 3/8)^3[/tex]

After four weeks, the new radius is r4 = r0 + 4/8 and the new volume is:

[tex]V4 = (4/3)π(r0 + 4/8)^3[/tex]

Finally, after five weeks, the new radius is r5 = r0 + 5/8 and the new volume is:

[tex]V5 = (4/3)π(r0 + 5/8)^3[/tex]

To find how the volume changes during the five-week period, we need to subtract the initial volume from the final volume:

ΔV = V5 - V0

[tex]ΔV = (4/3)π(r0 + 5/8)^3 - (4/3)πr0^3[/tex]

Simplifying this expression, we get:

[tex]ΔV = (4/3)π[(r0 + 5/8)^3 - r0^3][/tex]

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Maybe 9/12? I counted the amount of times 6 or 9 shows up on the graph. :D. Hope that helps.

The value of x is approximately 10.57 and the value of y is approximately 15.25.

In mathematics, a chord is a straight line segment that connects two points on a curve. More specifically, a chord is a line segment that has its endpoints on the curve.

The term "chord" is most commonly used in the context of circle geometry, where a chord is a line segment that connects two points on the circumference of a circle. In this context, the length of a chord can be calculated using the Pythagorean theorem, given the lengths of the radii of the circle and the distance between the endpoints of the chord.

In a circle, if four chords are connected to form a quadrilateral, then opposite angles of the quadrilateral are supplementary. Using this property, we can set up the following equation:

105 + (7y + 1) + (7x + 1) + (4y + 14) = 180

Simplifying and solving for x and y, we get:

7x + 4y + 122 = 180

7x + 4y = 58 ......(1)

Also, we know that the opposite angles of a cyclic quadrilateral are supplementary. Therefore, we can set up the following equations:

105 + (4y + 14) = 180 ......(2)

(7y + 1) + (7x + 1) = 180 ......(3)

Simplifying and solving for y in equation (2), we get:

4y + 119 = 180

4y = 61

y = 15.25

Substituting this value of y in equation (3) and solving for x, we get:

(7x + 1) + (7*15.25 + 1) = 180

7x + 106 = 180

7x = 74

x = 10.57

Therefore, the value of x is approximately 10.57 and the value of y is approximately 15.25.

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Answer:

d. 1 7/30...............

Answer:

D

Step-by-step explanation:

2/5 + 5/6

Make the denominator same

(2×6)/30 + (5×5)/30

12+25/30

37/30

1 7/30