What is the area of the rhombus?

15.75 cm2
31.5 cm2
124 cm2
248 cm2

Answer:

Step-by-step explanation:

140

Answer:

19° = m∠B

73° = m∠T

88° = m∠R

Step-by-step explanation:

Let x = measure of angle B

then 4x - 3 = measure of angle T

 and 31 + 3x = measure of angle R

x + 4x - 3 + 31 + 3x = 180

8x + 28 = 180

8x = 152

x = 19° = m∠B

4(19) - 3 = 73° = m∠T

31 + 3(19) = 88° = m∠R

Answer:

7.5

Step-by-step explanation:

lol just use a calculator

Answer:

its 7.5

Step-by-step explanation:

Answer:

311.41m3

Step-by-step explanation:

A=2πrh+2πr2

Answer:

1 ton=2,000 pounds so 6,700 pounds

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

5:4:9

? :?:261

261 x 4 all divided by 9 = 116

Update me whether it's right or wrong!

77.2 percent of mothers with children under age 6 work in the United states.

Mothers are less likely to work when their children are young than when they are older: In 2019, women with children under the age of six had a labor force participation rate of 66.4%, while those with children aged six to seventeen had a rate of 76.8%.

Among mothers with children under the age of three, married mothers were less involved than mothers of other marital situations — 62% versus 66%.

Working women confront child care challenges: According to a Center for American Progress poll, half of American families reported trouble getting child care.

Based on the amount of time and resources based on the amount of time based on the amount of time based on the length of time based on the length of time based on the length of time based on the duration of time based on the amount of time.

More over two-thirds of homemakers indicated they would "search for employment" if they could find more affordable child care. One-third of part-time parents stated they would work more hours if child care was available.

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The maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month.

The correct answer is an option  A.

In this question we need to find the maximum mortgage payment allowed for someone with an annual salary of $73,025 using the standard 28/36 guidelines.

We know that the standard 28/36 rule used to calculate the amount of debt an individual or household should assume.

This rule says that a household should spend a maximum of 28% of its gross monthly income on total housing expenses and no more than 36% on total debt service.

Let the maximum mortgage payment allowed be x dollars

So, x = ((73025 x 36) / 100) / 12

x = (2,628,900 / 100) / 12

x = $2,190.75

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A complete question is:

Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025?

a. $2,190. 75

b. $2,044. 70

c. $1,703. 92

d. $1,217. 8.

Answer:

a

Step-by-step explanation:

True. Paired samples t-tests are used to compare the means of two related groups, such as a group of individuals tested before and after an intervention or treatment (pretest and post-test).

matched examples When comparing the means of two related groups, t-tests are a type of hypothesis test that pairs up each subject in one group with a subject in the other. The same group of people is assessed twice in a pretest-posttest design—once before and once after an intervention or treatment.
Paired samples t-tests do look at one group of individuals tested twice, such as with a pretest and post-test. This type of t-test is used to compare the means of the two related samples and analyze the difference between the two testing instances.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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The graph of ƒ has a point of inflection  is (D) -3.259, 0, and 1.603

To determine if a function has a point of inflection, we need to find the values of x where the second derivative changes sign from positive to negative or vice versa. The sign of the second derivative at a point determines the concavity of the function at that point. If the second derivative is positive, the function is concave up, and if it is negative, the function is concave down.

Since ƒ"(a)=x² cos(2a+22), we can see that the second derivative is positive for x²>0. So the function is concave up when x²>0, which means when x is in the interval (-∞,0)∪(0,∞).

Since the interval (-4,3) includes both negative and positive values of x, the graph of ƒ may have a point of inflection within this interval. To determine the exact points of inflection, we need to find the values of x where the second derivative equals zero or is undefined.

Therefore, the answer is (D) -3.259, 0, and 1.603.

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Answer:

48x

Step-by-step explanation:

15+2+7+15+2+7=48 + x = 48x

Hope this helps!

Answer: 2,064.5cm2

Step-by-step explanation:

Length: 20x2.54=50.8cm

Width: 16x2.54= 40.64cm

Area=LxW

50.8cmx40.64cm=2064.512cm2    

=2064.5cm2                        

Answer:

2,064.5cm2

Step-by-step explanation:

I took the test and got it right

The margin of error E is approximately 0.31 oz

Margin of error is known to be a statistic expressing the amount of random sampling error in a survey's results. The margin of error informs you how close your survey findings are to the actual population's overall results. It is commonly represented by E.

The formula for margin of error is as follows:

z = critical value

σ = standard deviation

n = sample size

E = margin of error

The formula is, E = zσ/ √n

Here,

Sample size n = 51; Mean = 1.72; Standard deviation σ = 0.87 oz

Level of confidence = 97%

The level of confidence that corresponds to a z-score of 1.88 is 97% (using a standard normal table or calculator).

That is, z = 1.88 (by referring to a standard normal table or calculator)

To calculate the margin of error, we need to substitute the values in the formula

E = zσ/ √n

E = (1.88) (0.87) / √51

E = 0.3081 oz (approx)

Hence, the margin of error is approximately 0.31 oz (rounding the answer to two decimal places).

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This is a credit balance problem. Listed the previous balance, finance charge, new purchases, payments, and credits, the new balance can be calculated by summing up the previous balance, finance charge, and new purchases then subtracted to the sum of payments and credits. Applying this calculation, the new balance for the credit card is

Answer: B. $111.00

Priya needs 13⅓ cups of orange juice

Diego 15 cups

Step-by-step explanation:

......................................................................................................................

Priya

......................................................................................................................

Cup of water = 2½

Cup of orange = ⅓

If 2½ cups of water requires ½ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

2½ : ⅓ = 100 : x

5/2 : 1/3 = 100 : x ------------------Convert ratio sign to division

5/2 ÷⅓ = 100/x

5/2 * 3 = 100/x

15/2 = 100/x ---------------Multiply both sides by x

15/2 * x = 100/x * x

15x/2 = 100 ------------------ Multiply both sides by 2

2 * 15x/2 = 2 * 100

15x = 200 --------------- Divide both sides by 15

x = 200/15

x = 13⅓

So, 13⅓ cups of orange is needed by Priya

......................................................................................................................

Diego

......................................................................................................................

Cup of water = 1⅔

Cup of orange = ¼

If 1⅔ cups of water requires ¼ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

1⅔:¼ = 100:x

5/3 : ¼ = 100:x

5/3 ÷¼ = 100 ÷ x

5/3 * 4/1 = 100 ÷ x

20/3 =100/x----------------------- Multiply x to both sides

20/3 * x = 100/x * x

20x/3 = 100 ------------------------ Multiply 3 to sides by 3

3 * 20x/3 = 100 * 3

20x = 300 ------------- Divide both sides by 2

20x/20 = 300/20

x = 15

So, 15 cups of orange is needed by Diego

Answer:

The correct expression to represent the three consecutive integers whose sum is 21 will be:

Step-by-step explanation:

Let 'a' be the first number

so

a + (a+1) + (a+2) are the three consecutive integers.

Given that the sum of three consecutive integers is 21.

so

a + (a+1) + (a+2) = 21

3a + 3 = 21

subtracting 3 from both sides

3a + 3 - 3 = 21 - 3

3a = 18

a = 6

Therefore, the correct expression to represent the three consecutive integers whose sum is 21 will be:

Note: your option answers are a little unclear, but I hope you may have got an idea about this concept.

Jacob is playing miniature golf, then the ball is can not reach the hole in one shot, so Jacob is correct.

Jacob is playing miniature golf.

He states that he cannot hit the ball from the start.

Bounce it off the back wall once

And reach the hole in one shot.

So, we can write,

The ball is need to bounce off the back wall once.

The ball is can not reach the hole in one shot.

Jacob is correct.

It is not possible to hit the ball from the start,

Bounce it off the back wall once,

And reach the hole in one shot.

Therefore, Jacob is playing miniature golf, Then the Jacob is correct.

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The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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Answer:Explanation: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

Step-by-step explanation:

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle has a center located at (2, 5) and passes through the point (10, 3), hence:

\(Radius=\sqrt{(3-5)^2+(10-2)^2}=8.25\)

The equation of the circle is:

(x-2)² + (y-5)² = 8.25²

(x - 2)² + (y - 5)² = 68

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

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X.509 certificates are widely used in public key infrastructure (PKI) systems to verify the authenticity and integrity of digital identities. Therefore, among the given options, D) Owner's symmetric key is the item that does not apply to an X.509 certificate.

X.509 certificates are widely used in public key infrastructure (PKI) systems to verify the authenticity and integrity of digital identities. They contain various information related to the certificate itself and the entity it represents. Let's examine the options to determine which one does not apply to an X.509 certificate:

A) Certificate version: X.509 certificates include a version number to indicate the format and features of the certificate.

B) The issuer of the certificate: X.509 certificates specify the entity or authority that issued the certificate, which is crucial for validating the certificate's trustworthiness.

C) Public Key Information: X.509 certificates contain public key information, such as the public key itself and related parameters, to facilitate secure communication and cryptographic operations.

D) Owner's symmetric key: X.509 certificates do not typically include the owner's symmetric key. They primarily focus on the public key infrastructure and asymmetric key cryptography.

Therefore, among the given options, D) Owner's symmetric key is the item that does not apply to an X.509 certificate.

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The zeroes of the function g(x) = x² +3x -4 as given in the task content is; x = -4 and x = 1.

It follows from the task content that the function g(x) given in the task content is; g(x) = x² +3x -4.

On this note, it follows that the zeroes of the function can be determined by solving the quadratic function as follows;

x² +4x -x -4 = 0

(x+4) (x-1) = 0

Ultimately, it can be concluded that the values of x which represents the zeroes of the function are; x = -4 and x = 1.

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Answer:

x = 0

Step-by-step explanation:

You are solving for x

\(\frac{x}{5}\) + 2 = 2  Subtract 2 from both sides of the equation

\(\frac{x}{5}\) = 0  Multiply both sides by

\(\frac{x}{5}\)  \((\frac{5}{1})\) =  0 \(\frac{5}{1}\)

x = 0

Assume that the number is x

The opposite of 3 is -3

Since the sum of the number and the opposite of 3 equals 4

Therefore:

Remember (+)(-) = (-), so

To find x we need to move 3 to the other side by adding 3 to both sides

Since x represents the number, so

The number is 7

Let us check the answer

7 + -3 = 4

The answer is correct

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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By using normal distribution of probability, it is obtained that

92.4% of phone are eligible for free gift

What is normal distribution of probability?

Normal distribution of probability is the continuous type probability distribution whose probability density function is given by

P(X > x) = \(\frac{1}{\sigma \sqrt{2 \pi}}e^\frac{-z^2}{2}\)

where \(z = \frac{x - \mu}{\sigma}\)

\(\mu\) is the mean and \(\sigma\) is the standard deviation

Here it is given that the prices of the cell phones manufactured by Ahmadi are normally distributed

Mean = $98

Standard deviation = 12

P(x \(\geq\) 81.8) = P(z \(\geq\) \(\frac{81.8 - 98}{12}\)) = P(z \(\geq\)  -1.35) = 0 .924

So 92.4% of phone are eligible for free gift

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The value of x which is the length of the base of the triangle in the question is; 29 meters

A triangle is a three sided polygon, with three interior angles.

Please find attached the possible diagram in the figure, (created with MS Word), which is a question from a mathematics textbook posted on the internet

The diagram indicates that the altitude or height of the triangle = 8 meters

The specified area of the triangle is; A = 261 square meters

The base length of the triangle = x

The formula for the area of a triangle, A, is; A = (1/2) ×Base length × Height

Therefore;

A = 261 m² = (1/2) × x × 18 m

x = 261 m² ÷ ((1/2) × 18 m) = 29 m

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Answer: \(\sqrt{30}/5\)

Step-by-step explanation:

You should get this answer because the simpliest form of a radical is that you shouldn't have any radical in the denominator. In order to get rid of the radical sign in the denominator, you have to multiply the numerator and the denominator with the \(\sqrt{5}\).

Look at the image below for further explanation

Answer:

-1.14

Step-by-step explanation:

The given information in statement is

mean=μ=69

standard deviation=σ=3.5

Let X be the Ishaan's exam score

X=65

The Z score can be computed as

\(z=\frac{x-mean}{standard deviation}\)

\(z=\frac{65-69}{3.5}\)

z=-1.1429

z=-1.14 (rounded to two decimal places).

Thus, the computed z-score for Ishaan's exam grade is -1.14.

Answer:

-2.67

Step-by-step explanation:

khan academy

Answer:

according to PEMDAS, i would do parentheses first.

Step-by-step explanation:

So (4^2) would be the first thing i solve