The area of a rectangular field is 4425 m².
If the width of the field is 59 m, what is its length?

Answer:

18x + 24y + 12y

Step-by-step explanation:

Distribute

Answer:

18x+24y+12y

18x+36y

Step-by-step explanation:

6(3x+4y+2y)

18x+24y+12y

18x+(24y+12y)

18x+36y

The two pairs of Adjacent angles in the figure are:

∠1 and ∠3, ∠3 and ∠7.

The correct option is c.

In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:

Adjacent angles to ∠1:

∠1 and ∠5

∠1 and ∠3

Adjacent angles to ∠3:

∠3 and ∠1

∠3 and ∠7

Adjacent angles to ∠5:

∠5 and ∠1

∠5 and ∠7

Adjacent angles to ∠7:

∠7 and ∠3

∠7 and ∠5

Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.

from the given choices,

∠1 and ∠3, ∠3 and ∠7

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Therefore, Diego has 1.8 kilograms of carrots left.

Diego initially had 3 kilograms of carrots. He used 0.8 kilograms for the soup and 0.4 kilograms (400 grams) for the carrot cake.

So the total amount of carrots he used is:

0.8 + 0.4 = 1.2 kilograms

To find out how many kilograms of carrots he has left, we can subtract the amount he used from the initial amount:

3 - 1.2 = 1.8 kilograms

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Answer:

R200

Step-by-step explanation:

selling price of each earring

R200

Answer:-3x-21

Step-by-step explanation: use the distributive property

Answer:

=−3x−21

Step-by-step explanation:

−3(x+7)

=(−3)(x+7)

=(−3)(x)+(−3)(7)

=3x-21

When an ordinary die is rolled and the number is recorded, the sample space is {1, 2, 3, 4, 5, 6}. The correct answer is:
b. {1, 2, 3, 4, 5, 6}, equally likely

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling an ordinary die, and thus the sample space is the set of numbers that can appear on the die face. The sample space is {1, 2, 3, 4, 5, 6} because those are the only possible outcomes.

For a fair die, each of these outcomes is equally likely to occur. This means that the probability of rolling any particular number is 1/6, because there are 6 possible outcomes and they are equally likely.

Therefore, the correct answer is:

b. {1, 2, 3, 4, 5, 6}, equally likely

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Answer: The correct answer is option d.

3x³ + 15x² + 12x.

Step-by-step explanation:

Given expression for the volume and simplifying 3x(x+4)

Expression for volume is obtained by multiplying three lengths of a cube.

Let the length of the cube be x+4, then the volume of the cube is (x + 4)³.

The expression is simplified by multiplying the values of x³, x², x, and the constant value of 64.

Thus,

3x(x+4) = 3x² + 12x.

Now, write an expression for the volume and simplify

3x(x+4)3x(x + 4) = 3x² + 12x.

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Answer:

It's -11/5

Step-by-step explanation:

-11/5 x 3 = -33/5

-33/5 = -6 3/5

The answer is A, x=7/3

Decimal form would be x=2.3...

And mixed number form would be x=2 1/3

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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In the standard normal distribution N(0,1), the cumulative distribution function (CDF) is well-known and can be denoted as Φ(z), where z is the standardized variable.

The first quartile, denoted as Q1, is the value of z for which the cumulative proportion is 0.25. Mathematically, we have:

Φ(Q1) = 0.25

Using a standard normal distribution table or a calculator, we can find that Q1 is approximately -0.6745.

Similarly, the third quartile, denoted as Q3, is the value of z for which the cumulative proportion is 0.75. Mathematically, we have:

Φ(Q3) = 0.75

Using a standard normal distribution table or a calculator, we can find that Q3 is approximately 0.6745.

Therefore, the quartiles of the standard normal distribution N(0,1) are Q1 = -0.6745 and Q3 = 0.6745.

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Answer:

Yes, both are one third of the other number

Step-by-step explanation:

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

// have a great day //

Answer:thus the answer is 2

Step-by-step explanation:

Given

The Radius of a solid cylinder (r)=5cm

Height (h)=10cm

Hence

Total surface area =2πrh+2πr

2

=2πr(h+r)

=2π×5(10+5)

=π×10×15

=150πcm

2

The function f(x) = 1/(x²+1) does not have any x values for which it is undefined.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The function f(x) = 1/(x²+1) is defined for all real values of x.

The denominator of the function, x²+1, is always positive since x² is non-negative for any real x and adding 1 to a positive number gives a positive result.

Therefore, for undefined values of x, the function doesn't have any value.

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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Answer:

Step-by-step explanation:

(6,18)

Answer:

$5.23 per burger

Step-by-step explanation:

You need to divide $20.92/4=5.23

Answer:

5,23

Step-by-step explanation:

$20.92 divided by 4 = 5,23

because the total cost divided by how many you bought equals to the price ever each one IF they were of equal cost.

In this case they most likely were.

From -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

Here we have the table:

You can see that:

g(-1) = 2

g(0) = 0

So the function goes downwards from x = -1 to x = 0.

g(1) = 4

So the function goes upwards between 0 and 4.

Then, from -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

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The true proportion of the side lengths of the quadrilaterals is A'B'/AB

From the question, we have the following parameters that can be used in our computation:

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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Answer: A triangular prism has a base of a rectangle as shown in this picture.

Step-by-step explanation: If your having trouble recognizing prisms here's a tip. All prisms have a rectangular base. :)

Answer:

(10, 18)

Step-by-step explanation:

y=2x-1

*x value*

AC=2AB

2c=2(2)(5)

2c=4(5)

2c=20

c=10

*y value*

AC=2AB

3c=2(3)(9)

3c=6(9)

3c=54

c=18

Answer:

0.6  cause I got it correct.

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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The amount tied up in AR is $69434.12

The Gross Revenue, GR = $495,958.02

From the question:

The Annual Revenue, AR = 14% of GR

AR = (14/100) x $495,958.02

AR = 0.14 x $495,958.02

AR = $69434.12

The amount tied up in AR is $69434.12

Answer:

A

Step-by-step explanation:

First, we should put this equation in slope-intercept form by isolating y.

Thus, we have:

\(2x-\frac{4}{3}y=4\\ -\frac{4}{3}y=4-2x\\ y=\frac{3}{2}x-3\)

The slope-intercept equation shows that the y-intercept is -3 and the slope is 3/2.

Only answer A meets these requirements.

According one-way ANOVA, the test is false.

In the given question,

When comparing three or more populations means within a set of quantitative data that is categorized according to one​ factor/treatment, a​ one-way ANOVA is appropriate. It is also appropriate in this​ situation, however, to compare two means at a time using multiple independent two sample​ t-tests. We have to check whether this is true or​ false.

We firstly learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the means of two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given method it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations means within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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The  possible functions u(x, y) are the harmonic functions, which satisfy the Laplace equation.

To determine the possible functions u(x, y) such that the function f(x + iy) = u(x, y) + iu(x, y) is analytic or complex differentiable, we need to consider the Cauchy-Riemann equations. The Cauchy-Riemann equations are necessary conditions for a function to be complex differentiable. They state that if a function f(z) = u(x, y) + iv(x, y) is differentiable, then the partial derivatives of u and v must satisfy the following equations:

∂u/∂x = ∂v/∂y

∂u/∂y = -∂v/∂x

From these equations, we can see that the partial derivatives of u and v must be related in a specific way. In particular, if we focus on the real part u(x, y), we can determine the possible functions u(x, y) by solving the Cauchy-Riemann equations.

The solutions to the Cauchy-Riemann equations are known as harmonic functions. These functions satisfy the Laplace equation, which states that the sum of the second partial derivatives of u with respect to x and y is equal to zero:

∂²u/∂x² + ∂²u/∂y² = 0

Therefore, the possible functions u(x, y) that make the function f(x + iy) = u(x, y) + iu(x, y) analytic or complex differentiable are the harmonic functions. These functions have continuous partial derivatives and satisfy the Laplace equation.

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The probability that not all four cars are parked next to each other is 0.4286 or 42.86%.

In this case, n is 7 and r is 4. So, the total number of ways the four cars can be parked in the seven spaces is:

7P4 = 7! / (7 - 4)! = 7! / 3! = 7 x 6 x 5 x 4 = 840

Now, we need to find the number of ways the four cars can be parked next to each other. We can do this by treating the four cars as one unit and finding the number of ways this unit and the remaining three cars can be parked in the seven spaces. The number of ways this can be done is:

4P1 x 6P3 = 4 x 6 x 5 x 4 = 480

So, the probability that all four cars are parked next to each other is:

480/840 = 0.5714

Finally, to find the probability that not all four cars are parked next to each other, we can subtract the probability that all four cars are parked next to each other from 1, which gives:

1 - 0.5714 = 0.4286 or 42.86%.

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