find the sum 9.33 + 48.4

Answer:

First, we determine how many inches in the board. (5 x 12) + 3. This gives you 63 total inches. You want three equal pieces so you divide 63 by 3 and the answer is 21 inches for each individual piece.

Step-by-step explanation:

First, we determine how many inches in the board. (5 x 12) + 3. This gives you 63 total inches. You want three equal pieces so you divide 63 by 3 and the answer is 21 inches for each individual piece.

Answer:

D

Step-by-step explanation:

In picture

Brainliest please ~

Answer:

The answer is most likely the last option.

Step-by-step explanation:

While the 2 triangles have different orientations, the two triangles are similar to one another. From my perspective, the scale would most likely be:

\( \frac{ab}{de} = \frac{bc}{ef} = \frac{ca}{fd} \)

Note that the fractions can be flipped the other way around too.

\( \frac{de}{ab} = \frac{ef}{bc} = \frac{fd}{ca} \)

Now, I can add in the values into the equation

This will give the answer

\( \frac{15}{22.5} = \frac{18.75}{bc} = \frac{fd}{ca} \)

We are only looking at the first 2 fractions which were given, and the final option is the answer.

Answer:

We can simplify each term in the polynomials and then perform the subtraction:

(3^5 + 8^3) − (7^2 − 6^3)

= 243 + 512 − 49 + 216

= 752 - 33

= 719

So, (3^5 + 8^3) − (7^2 − 6^3) = 719

Hello! :3

Correct Answer: 716

The answer below is incorrect! solved with 3^3 instead of 3^5! OOPS!!!

Hope this helps! :)

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

Answer:

AC = \(\sqrt{58}\)

Step-by-step explanation:

Calculate AC using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = A (0, - 2) and (x₂, y₂ ) = C (3, 5 )

AC = \(\sqrt{(3-0)^2+(5-(-2)})^2\)

     = \(\sqrt{3^2+(5+2)^2}\)

    = \(\sqrt{9+7^2}\)

    = \(\sqrt{9+49}\)

    = \(\sqrt{58}\)

Using the ANOVA model, you can determine if the surface type has a significant impact on the speed of guineas.

Given that you are comparing the speed of guineas across three different surface types (grass, turf, and concrete), you would use an Analysis of Variance (ANOVA) model to analyze this data.

An ANOVA model allows you to compare the means of the speeds for each group (grass, turf, and concrete) and determine if there are any significant differences between them. The model takes into account the variability within each group and the variability between the groups to determine if the differences observed are due to chance or if they are statistically significant.

Here are the steps to perform an ANOVA analysis:

1. Collect the speed data for each guinea in the three groups (grass, turf, and concrete).
2. Calculate the means of the speeds for each group.
3. Calculate the overall mean of the speeds for all groups combined.
4. Calculate the Sum of Squares Within (SSW), which measures the variability within each group.
5. Calculate the Sum of Squares Between (SSB), which measures the variability between the groups.
6. Calculate the Mean Squares Within (MSW) and Mean Squares Between (MSB) by dividing the respective sums of squares by their degrees of freedom.
7. Calculate the F-statistic by dividing MSB by MSW.
8. Compare the F-statistic to the critical value from the F-distribution table based on the chosen level of significance (e.g., 0.05) and the degrees of freedom for the numerator and denominator.
9. If the F-statistic is greater than the critical value, you can conclude that there are significant differences between the groups' mean speeds, and further analysis can be conducted to determine which specific groups differ.

Using the ANOVA model, you can determine if the surface type has a significant impact on the speed of guineas.

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Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

y = 37

Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

3x + 3 = 111 ( subtract 3 from both sides )

3x = 108 ( divide both sides by 3 )

x = 36

---------------------------------------------------------------------

(b)

The diagonals bisect each other , so

x + 8 = 16 - x ( add x to both sides )

2x + 8 = 16 ( subtract 8 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

and

5y + 4 = 2y + 13 ( subtract 2y from both sides )

3y + 4 = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

f(x) was transformed to make g(x) by B) Horizontal or vertical stretch.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

Given that the function g(x) is a transformation of the parent function f(x).

To Decide how f(x) was transformed to make g(x).

The reflection of the point (x,y) across the line y = 1/2 x is the point (y, x).

By the given tables we can see that;

g(x) = 1/2 f (x)

Therefore, f(x) was transformed to make g(x) by B) Horizontal or vertical stretch.

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Answer:

I'm pretty sure the answer is 0.45. I got this by dividing 1.35 by 3 which gave me 0.45. And to check it, I multiplied 0.45 by 3, snice the formula for area is multiplying.

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Answer:

27777/100000

Step-by-step explanation:

i hope its right

Answer:D

Step-by-step explanation:

Option C is the correct choice   \(-2x^4+4x^2+3x-2\),

Remainder of a polynomial by substitution

For a polynomial f(x) to give a remainder of 24 when divided by x + 2:

f(-2) = 24

By testing, substitute x = -2 into the equation \(-2x^4+4x^2+3x-2\)

\(f(x) = -2x^3+4x^2+3x-2\\\\f(-2)=-2(-2)^3+4(-2)^2+3(-2)-2\\\\f(-2)=-2(-8)+4(4)-6-2\\\\f(-2)=16+16-8\\\\f(-2)=32-8\\\\f(-2)=24\)

Since f(-2) = 24 when x = -2 is substituted into  \(-2x^4+4x^2+3x-2\), then  \(-2x^4+4x^2+3x-2\) has a remainder of 24 when divided by x+2

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Answer:

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

Step-by-step explanation:

calculate the slope m of the given line using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-(-3)}{2-0}\) = \(\frac{1+3}{2}\) = \(\frac{4}{2}\) = 2

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\)

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

the only line with m = - \(\frac{1}{2}\) , is

y = - \(\frac{1}{2}\) x + 1 ← perpendicular line

The height of the box is 12cm, having volume = 1200cm ³ .

A triangular prism's volume is the area that it takes up in all three dimensions. A prism is a solid object that has the same cross-section throughout its entire length, equal bases, and flat, rectangular side faces. Prisms can be divided into many categories and given different names depending on the form of their bases. A triangular prism has three rectangular lateral sides and two identical triangular bases.

The formula yields the volume of a triangular prism.

Volume of triangular prism  = 1/2lwh

Where,

w = width

h = height

l = length.

We may determine the height by filling in the specified measurements.

1200cm ³ = 1/2 × (20 cm) × (10 cm) × h

h = (1200 cm³) / (100 cm²))

h = 12 cm

The box has a 12 centimeter height.

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The surface described by the equation \(r^2 + z^2 = 4\)is a right circular cylinder with a radius of 2 units, centered along the z-axis.

The surface whose equation is given is a cylinder with a radius of 2 units and a height of 4 units, centered on the z-axis.
Hi! I'd be happy to help you identify the surface with the given equation. The equation provided is:

\(r^2 + z^2 = 4\)

This equation represents a right circular cylinder with a radius of 2 units, centered along the z-axis. Here's why:

1. Notice that the equation contains r^2 and \(z^2\) terms, which suggests a cylindrical coordinate system.
2. The equation does not contain the θ term, which implies that the surface is symmetric about the z-axis.
3. The equation is in the form \(r^2 + z^2\) = constant, which is the equation of a right circular cylinder in cylindrical coordinates.

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The volume will be 9 times increased if she triples the dimension of the square. So, yes, he is right because 3 is 2 times in the formula.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base 8.

The side of the square is 8.

The height of the prism is 11.

Volume = Area of square × height.

The volume of the original prism will be.

\(\rm V_1 = 8 * 8 * 11\\\\V_1 = 704\)

If she triples the side of the square.

Then dimensions will be

The side of the square is 24.

The height of the prism is 11.

The volume of the modified prism will be.

\(\rm V_2 = 24 * 24* 11\\\\V_2 = 9*704\\\\V_2 = 9 \ Times \ of \ V_1\)

Thus, the volume will be 9 times bigger. So, yes, he is right because 3 is 2 times in the formula.

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Answer: The area is 6.5

Assuming no denominator equals zero, b^4/a expression is equivalent to the given expression a^3b^5/ a^4b

Definition of Expression in Math? An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

The applicable rules of exponents are ...

 (a^b)/(a^c) = a^(b-c)

 a^-b = 1/a^b

The expression can be rewritten as ...

a^3b^5/ a^4b

The expression can be rewritten as ...

b^4/a

complete question

Assuming no denominator equals zero, which expression is equivalent to the given expression?.

a^3b^5/ a^4b

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Answer:

$20, 533.33

Step-by-step explanation:

From the question, we are given the following values

Principal = $20000

Rate = 8% = 0.08

Time( in years) = 120days = 4 months = 4/12 years = 1/3 years

Interest = Principal × Rate × Time

Interest = 20,000 × 0.08× (1/4)

Interest = $533.33

Hence, the proceeds to Aster Corporation are

$20000 + $533.33

= $20,533.33

In the scenario described, if every firm in the city hires employees through a process equivalent to simple random sampling, it means that the hiring process is unbiased with respect to race.

Simple random sampling ensures that each individual has an equal chance of being selected for employment, regardless of their race.

Given that the percentage of black individuals in the city is 10%, we would expect the representation of black employees in each firm to be approximately 10% by probabilibilty as well if the hiring process is unbiased. This is because the hiring process is equivalent to a random selection from the city's population.

If the firms adhere to this unbiased hiring process, none of them would be found guilty of discrimination by the z-test or any statistical test. The z-test is used to determine whether the observed difference between two proportions is statistically significant, indicating a deviation from what would be expected due to chance.

In this case, if the firms follow unbiased simple random sampling and the percentage of black employees matches the percentage of black individuals in the surrounding region (10%), there would be no statistically significant difference between the observed proportion of black employees and the expected proportion based on the city's demographics.

Therefore, in this scenario, none of the firms would be found guilty of discrimination based on the z-test or any statistical test because they would be meeting the expected representation of black employees based on the population's demographics.

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Answer:

16+2x is your answer

Step-by-step explanation:

2 Simplify 4\times 34×3 to 1212.

16-7x+12-2-3\times 2+9x-416−7x+12−2−3×2+9x−4

3 Simplify 3\times 23×2 to 66.

16-7x+12-2-6+9x-416−7x+12−2−6+9x−4

4 Collect like terms.

(16+12-2-6-4)+(-7x+9x)(16+12−2−6−4)+(−7x+9x)

5 Simplify.

16+2x16+2x

Done

Answer:

i think its

y=10.¯¯¯¯¯¯¯¯¯¯¯¯285714x + 28. ¯¯¯¯¯¯¯¯¯¯¯¯428571

Step-by-step explanation:

Dilation and rotation are the a series of transformations, which transformation would make two figures similar as opposed to congruent.

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Rotations is defined as the motion of an object around a center or an axis.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation.

This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape. A dilation should either stretch or shrink the original shape.

This would give us a similar, but not congruent, figure.

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In a series of transformations, which transformation would make two figures similar as opposed to congruent?

A) Rotation and translation

B) Dilation and rotation

C) Reflection and rotation

D) Translation and reflection

If 5/8 of the pupils are boys if there are 15 girls in that class then the number of boys are 25.

A fraction represents a part of a whole.

If 5/8 are boys then

1 - 5/8 = girls

3/8 = girls

3/8 of the total are girls

Let x = total

3/8 ( x) = 15

8/3 * 3/8 * x = 15 * 8/3

x = 40

There are 40 total students

5/8 are boys

5/8 × 40

25 are boys

Hence, if 5/8 of the pupils are boys if there are 15 girls in that class then the number of boys are 25.

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Answer:

29.25

or 29.3 if rounded to 10s place.

Step-by-step explanation:

Answer:

\(\Huge\boxed{29.3}\)

Step-by-step explanation:

Hello There!

Remember The Trigonometric Ratios

Sin = opposite divided by hypotenuse

Cos = adjacent divided by hypotenuse

Tan = opposite divided by adjacent

We need to find the measure of angle X given the opposite side length and hypotenuse

Opposite and hypotenuse correspond with sine so we are going to use sine to solve for x

We create an equation: \(sin(x)=\frac{43}{88} \\\)

\(\frac{43}{88} =.4886363636\\sin(x)=.4886363636\)

Now we want to get rid of the sin

To do so we take the inverse of sin (which would be arcsin) and apply it to each side

\(arcsin^-^1(sinX)=x\\arcsin^-^1(.4886363636)=29.25099306\)

finally we round to the nearest tenth

we're left with x = 29.3

Answer:

A=59, B=48, C=79

Step-by-step explanation:

triangles equal to 180 degrees

x+73+x-11=180

2x+62=180

2x=118

x=59

A=X

B=x-11

B=59-11
B=48

Answer with step by step explanation:

We know that, the sum of the interior angles of a triangle is 180°.

Accordingly,

\( \sf \: x + x - 11 + 73 = 180\)

Combine like terms.

\( \sf \: 2x + 62 = 180\)

Subtract both sides by 62.

\( \sf \: 2x = 180 - 62 \\ \sf \: 2x = 118\)

Divide both sides by 2.

\( \sf \: x = 59\)

Therefore,

\( \angle A = x = 59 \degree \ \\ \angle \: B = x - 11 = 59 - 11 = 48 \degree \\ \angle \: C = 73 \degree\)

Answer:

h(3)  = 1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

One way is to examine the steepness of the item characteristic curve, which provides insight into the item's difficulty level.

Another approach involves identifying the point on the curve where the probability of answering the item correctly is 0.5. Additionally, test developers can compare the percentage of high performers who answered the item correctly with the percentage of low performers who did the same. Lastly, developers can ask test takers to complete a qualitative item analysis survey to gather subjective feedback on item difficulty.

The difficulty of an item can be determined by analyzing the item characteristic curve, which depicts the relationship between item difficulty and the probability of answering correctly. A steeper curve suggests a more difficult item, while a flatter curve indicates an easier item. By examining the point on the curve where the probability of answering correctly is 0.5, test developers can identify the item's level of difficulty.

Another approach involves comparing the performance of high and low performers. By subtracting the percentage of low performers who responded correctly from the percentage of high performers who answered correctly, developers can gauge the difficulty of the item. A larger difference between the two groups suggests a more challenging item.

Lastly, test developers can gather qualitative feedback from test takers through surveys or interviews. These qualitative item analysis surveys provide valuable insights into the perceived difficulty of the item from the perspective of the test takers. This feedback can be used to complement quantitative analyses and provide a more comprehensive understanding of item difficulty.

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