An isosceles triangle has base angles that each measure 42 degrees.Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees

The Total cost of x small and y large greeting cards is; 1.25x + 4.50y.

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

Given that the Cost of the small greeting card = is $1.25 .

The Cost of the large greeting card =$4.50.

We need to determine the Total cost of 5 small and 4 large greeting cards and the total cost of x small and y large greeting cards.

The Cost of 5 small greeting cards = 6.25

The Cost of 4 large greeting cards = 18

Then the Total cost = $6.25+ $18 =$24.25

Therefore, the Total cost of 5 small and 4 large greeting cards is; $24.25.

Now, the total cost of x small and y large greeting cards will be;

Cost of x small greeting cards = 1.25x

Cost of y large greeting cards = 4.50y

Total cost = 1.25x + 4.50y

Therefore, the Total cost of x small and y large greeting cards is; 1.25x + 4.50y.

To learn more about cost visit:

brainly.com/question/15135554

#SPJ1

Answer:

A

Step-by-Step Explanation:

We want to find the limit:

\(\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}\)

Use direct substitution.

Hence:

\(\displaystyle{\Rightarrow 2e^\frac{\pi}{2}\cos(\frac{\pi}{2}})\)

Recall the unit circle. cos(π/2) is simply 0. Hence:

\(\displaystyle{\Rightarrow 2e^\frac{\pi}{2}(0)=0\)

Therefore:

\(\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}=0\)

So, our answer is A.

Answer:

Step-by-step explanation:

B

A. Inferential statistics is used to test a claim about a population, not a sample. Inferential statistics is a branch of statistics that involves making inferences or drawing conclusions about a population based on a sample of data.

It uses sample data to estimate population parameters (option B), make inferences about a population from which a sample is drawn (option D), and perform hypothesis testing (option E). Option C is also correct as inferential statistics relies on sample data for making statistical inferences. However, option A is not accurate as inferential statistics is used to make inferences about populations, not just samples.

Learn more about “ Inferential statistics “ visit here;

https://brainly.com/question/29821285

#SPJ4

Since x is a fourth quadrant angle, it is between 270° and 360° (or between -90° and 0°).

So, calculating x, we have:

Now, multiplying x by 2, we have -45 * 2 = -90°.

So the tangent of 2x is:

Therefore tan 2x is undefined.

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

To learn more about division, click on below link:

https://brainly.com/question/11781269

#SPJ4

Answer:

the system : 9x-3y =21

                   2x+3y = 12

Step-by-step explanation:

hello :

an system of equations has the same solutions as the system below

 the  system  3x-y=7

                     2x+3y=12

for exempl  :  3×(3x-y)=3×7

                     2x+3y)=12

means :

9x-3y =21

2x+3y = 12

6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as the system of equations 3x - y = 7, 2x + 3y = 12

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

Given system of equations

3x - y = 7........................(1)

2x + 3y = 12...................(2)

Multiply equation 1 with 2

2(3x - y) = 2 × 7

6x - 2y = 14

Subtract 6 from equation 2

2x + 3y - 6 = 12 - 6

2x + 3y - 6 = 6

So, 6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as 3x - y = 7,

2x + 3y = 12

Find out more information about system of equations here

https://brainly.com/question/9351049

#SPJ2

Answer:

Step-by-step explanation:

Take any two pairs of coordinates to find the slope.

The forumla for slope is (y2-y1)/(x2-x1)

Wil will choose the points (2,10) and (4,20)

Therefore:

m = (20-10)/(4-2)

m = 5

the minimum coating thickness that will minimize the reflection at a wavelength of 702 nm is approximately 85.85 nm. It seems there might be a discrepancy with the provided answer of 121 nm.

To minimize reflection at a specific wavelength, we can use the concept of quarter-wavelength optical coatings. The formula for the thickness of a quarter-wavelength coating is:

t = (λ / 4) / (n - 1)

Where:

t is the thickness of the coating

λ is the wavelength of light in the medium

n is the refractive index of the coating material

Given:

Wavelength (λ) = 702 nm

Refractive index of silicon (n1) = 3.50

Refractive index of silicon dioxide (n2) = 1.45

To minimize reflection, we need to find the thickness of the silicon dioxide coating that will act as a quarter-wavelength coating for the given wavelength in silicon.

t = (702 nm / 4) / (3.50 - 1.45)

t = 175.5 nm / 2.05

t ≈ 85.85 nm

To know more about minimum visit:

brainly.com/question/21426575

#SPJ11

The statement "T^-1 does not exist" is false. The inverse of the linear transformation T: R² -> R² defined by T((x,y)) = (x, 2x) does exist.

To determine if the inverse of T exists, we need to check if T is a bijective (one-to-one and onto) linear transformation. In this case, T is a linear transformation since it satisfies the linearity properties: T(u+v) = T(u) + T(v) and T(ku) = kT(u) for all vectors u, v in R² and scalar k.

Now, to check if T is one-to-one, we examine the kernel (null space) of T. The kernel of T is the set of vectors that are mapped to the zero vector in the codomain. In this case, the kernel of T is the set {(0, 0)} since T((0, 0)) = (0, 0). Since the only vector mapped to the zero vector is the zero vector itself, T is one-to-one.

Furthermore, T is onto (surjective) since every vector in the codomain R² can be represented as T((x, y)) = (x, 2x) for some (x, y) in R².

Since T is both one-to-one and onto, it is invertible, and therefore, the inverse transformation T^-1 exists. Hence, the statement "T^-1 does not exist" is false.

Learn more about linear transformation here:

https://brainly.com/question/13595405

#SPJ11

Answer:

Ok nice! Have Fun! Don't be scared it will be ok just face your fear and it will be fun. I never seen or been here. What is this amusement park called and where is it?

Answer:

31

Step-by-step explanation:

We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.

Answer:

31

Step-by-step explanation:

Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).

Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ5

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ11

Answer: the two numbers are in the question

Step-by-step explanation:

i took the test

Answer:

SA= 119 cm²

Step-by-step explanation:

the solution contain of four steps

Answer:

n=4

Step-by-step explanation:

On factorizing the polynomial 3m²-9 we get 3(m²-3).

The factor of polynomial is defined as the process of expressing the polynomial as a product of two or more polynomials.

For Example : the factors of x²-16 are (x+4)(x-4).

In the given question we need to factor

3m²-9

here 9 can be written as 3*3

rewriting the above equation we get

3m²-3*3

As both the terms contain 3 we can take 3 common from both the terms ;

taking 3 common from each term we get ,

=3(m²-3)

Therefore , On factorizing 3m²-9 we get 3(m²-3) .

Learn more about factorization here  https://brainly.com/question/9177249

#SPJ1

We can infer that young people drive more quickly than older people because the interval does not contain zero.

We need to construct the 90% confidence interval for the difference between the population means μ1 - μ2, in the case that the population standard deviations are not known. The following information has been provided about each of the samples;

Sample Mean 1 (X1) = 79

Sample Standard Deviation 1 (s1) = 2.2360

Sample Size 1 (N₁) = 9

Sample Mean 2 (X2) = 73

Sample Standard Deviation 2 (s2) = 1.732

Sample Size 2 (N₂) = 7

Based on the information provided, we assume that the population variances are equal, so then the number of degrees of freedom is,

df = n + n₂ - 2 = 9 + 7 - 2

   = 14

The critical value for a = 0.1 and df = 14 degrees of freedom is the = t1 - a/2n - 1 = 1.761.

The corresponding confidence interval is computed as shown below,

Since the population variances are assumed to be equal, we need to compute the pooled standard deviation, as follows:

Sp =\(\sqrt{\frac{(n1 - 1)s1^2+(n2 - 1)s2^2}{n1+n2-2} }\) = 2.035

Since we assume that the population variances are equal, the standard error is computed as follows:

se = Sp*\(\sqrt{\frac{1}{n1}+\frac{1}{n2} }\)

    = 1.026

Now, we finally compute the confidence interval;

CI = (X1-X2-te * se, X1 X2+te * se)

   = (79-73-1.761 x 1.026, 79-73 +1.761 x 1.026)

   = (4.193, 7.807)

Therefore, based on the data provided, the 90% confidence interval for the difference between the population means μ - μg is 4.193< μ - μg < 27.807, which indicates that we are 90% confident that the true difference between population means is contained by the interval (4.193, 7.807).

As the interval does not contain zero, we can say that young people drive faster than old people.

To learn more about confidence interval click here:

brainly.com/question/24131141

#SPJ4

Answer: The answer is B.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

a line would be a line not a segment

The linear function models the given situation will be equal to f(x) = $3600 - $400(x).

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Original price of Machine = $3600

Price lost by the machine each year = $400

Then, the equation will be,

f(x) = $3600 - $400(x)

Here, x represents the number of years.

To know more about equation:

https://brainly.com/question/29657983

#SPJ1

Answer:

f(x) = −400x + 3600

The additional angles are P and Q. The measure of angle P = 116 if the measure of angle Q is 64º

Additional angles add up to 180.

P+Q = 180

P +64 = 180

Subtract 64 from each side

P = 180-64

P =116

The complete question is:

Angle P and angle Q are supplementary angles. If the measure of angle Q is 64º, find the measure of angle P.

To learn more about angle, refer to:

https://brainly.com/question/25716982

#SPJ1

Using conversion from fraction to decimal and rational numbers, we have that:

7. The fraction that has a corresponding decimal greater than 1 is 4/3.

8. One rational number between 7 and 8 is given by option a, which is 7.83838383...

A fraction is converted to decimal dividing the numerator by the denominator.

In item 7, we consider fraction 4/3, for which:

Hence the corresponding decimal is given as follows:

4/3 = 1.333, which is the result of the division of 4 by 3, and is greater than 1.

The set of rational numbers is composed by all numbers that can be represented by fractions, such as integer, terminating decimals and repeating decimals.

In item 8, option a, we have the number 7.83, with the bar at 83. This means that 83 is the repeating decimal part, that is, the rational number is 7.83838383...

More can be learned about the conversion from fraction to decimal at https://brainly.com/question/1306233

#SPJ1

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

Learn more about Kred Platform here: brainly.com/question/29548334

#SPJ11

The standard error to be used in the formula of a confidence interval for the difference in proportions is 0.07.

The estimated standard deviation of a statistical sample population is known as the standard error (SE) of a statistic.

By utilising standard deviation, the standard error is a statistical concept that assesses how well a sample distribution represents a population. In statistics, the difference between a sample mean and the population's actual mean is known as the standard error of the mean.

The standard error's primary function is to indicate how divergent the population mean will be from the sample mean. Because it aids in determining how well the standard data reflect the entire population, the standard error is significant. We may readily draw reliable conclusions by calculating the standard error in order to determine how representative our sample is of our population.

56 out of 100 boys = P1 = 0.56

43 out of 100 girls = P2 = 0.43

The formula for standard is given by,

\(S.E=\sqrt{\frac{P_1(1-P_1)}{n1} +\frac{P_2(1-P_2)}{n2} } \\=\sqrt{\frac{0.56(1-0.56)}{100} +\frac{0.43(1-0.43)}{100} } \\\\= \sqrt{\frac{0.2464}{100} +\frac{0.2451}{100} } \\\\=\sqrt{0.004915} \\=0.07\)

Therefore, the standard error is 0.07.

Learn more about Standard error:

https://brainly.com/question/29037921

#SPJ4

Homoskedasticity and heteroskedasticity are terms used to describe the variability of errors in a multiple linear regression model.

To check for heteroskedasticity in a multiple linear regression model, there are several diagnostic tests and graphical methods that can be used: Residual plot, Breusch-Pagan test, White's test, Goldfeld-Quandt test,

Homoskedasticity refers to a situation where the variance of the errors (residuals) is constant across all levels of the independent variables. This means that the spread of the residuals is the same throughout the range of predicted values. In other words, the variability of the errors is consistent and does not change systematically.

Heteroskedasticity, on the other hand, occurs when the variance of the errors is not constant across all levels of the independent variables. In this case, the spread of the residuals tends to vary as the predicted values change. Heteroskedasticity implies that the variability of the errors is not consistent and may exhibit patterns or trends.

To check for heteroskedasticity in a multiple linear regression model, there are several diagnostic tests and graphical methods that can be used: Residual plot, Breusch-Pagan test, White's test, Goldfeld-Quandt test,

Residual plot: Plotting the residuals against the predicted values or the independent variables can reveal patterns or trends in the spread of the residuals. If the spread of the residuals appears to fan out or there is a clear pattern, it suggests the presence of heteroskedasticity.

Breusch-Pagan test: This is a statistical test that formally tests for heteroskedasticity in the residuals. The test assesses the relationship between the squared residuals and the independent variables. If the test result is statistically significant, it indicates the presence of heteroskedasticity.

White's test: Similar to the Breusch-Pagan test, White's test also examines the relationship between the squared residuals and the independent variables. It is another statistical test commonly used to detect heteroskedasticity in regression models.

Goldfeld-Quandt test: This test divides the data into two groups based on a selected independent variable and compares the variances of the residuals between the two groups. If the variances significantly differ, it suggests the presence of heteroskedasticity.

By conducting these tests and examining the graphical plots, one can assess whether heteroskedasticity is present in the multiple linear regression model. If heteroskedasticity is detected, it may be necessary to address the issue by using heteroskedasticity-robust standard errors, transforming variables, or considering alternative regression techniques designed to handle heteroskedastic data.

Learn more about regression  from

https://brainly.com/question/25987747

#SPJ11

Step-by-step explanation:

Number of Combinations

= 25C0 + 25C1 + 25C2 + 25C3 + 25C4 + 25C5

= 1 + 25 + 300 + 2300 + 12650 + 53130

= 68,406.

There are a total of 68,406 combinations.

Answer:

6

Step-by-step explanation:

Answer:

x=2 or x=−8

Step-by-step explanation:

Answer: f(x) = 72-12x

Step-by-step explanation: Hope it helps