Write and solve an equation to find the value of x and the missing angle measures.

Answer:

c= (-5a-2b+32)/6

Step-by-step explanation:

this is the answer, but you will b=have to a little more work to figure out each variable so you can get a number

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

Answer:

mom this u?

Step-by-step explanation:

The requried, Multiplies(with switching factors.) area given below,

a.

693 x 83 = 57489

83 x 693 = 57489

The answer is 57489.

b.

910 x 45 = 40950

45 x 910 = 40950

The answer is 40950.

c.

38 x 84 = 3192

84 x 38 = 3192

The answer is 3192.

d.

409 x 89 = 36401

89 x 409 = 36401

The answer is 36401.

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Answer:

true

Step-by-step explanation:

just took test

Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

Answer:

1.78f

Step-by-step explanation:

7/4=1.78 and then you add f

Answer:

x = 5

Step-by-step explanation:

5 x 5 = 25

25 - 7 = 18

Answer:

810.66 ft²

Step-by-step explanation:

Short answer:

Shaded region:

Answer: 810.66 ft²

I agree.

Output:

2.5% 97.5%

0.9804272 1.0195226

To estimate the confidence level using R, you will need to perform a statistical test and calculate the confidence interval. Here is a step-by-step guide:

Import your data into R using the read.table or read.csv function.

Determine which statistical test is appropriate for your data. For example, if you are comparing two means, you would use a t-test.

Perform the statistical test using the appropriate function in R. For example, to perform a t-test, you would use the t.test function.

Extract the confidence interval from the results of the statistical test. The confidence interval is typically displayed as part of the output of the statistical test function.

The attached image below shows the R code that is used to form a lognormal distribution using unknown parameters.

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Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Answer:

use test numbers to find where the function is a positive and where it is negative. sketch the function's graph, plotting additional points as guides as negative. choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.

ANSWER

EXPLANATION

We want to find how much Juan needs to invest now to meet his target.

To do this, we have to apply the formula for the amount for a quarterly compounded interest:

where 4 represents 4 quarters in a year

P = principal or initial amount invested

r = interest rate

A = amount after t years

t = number of years

Therefore, substituting the given values into the equation, we have that:

Solve for P by dividing both sides by 2.70:

That is the amount that he needs to invest now.

Answer:

$211.9

Step-by-step explanation:

77 MARKERS x 0.70 EACH = 53.9

30 RULERS x 1.95 EACH = 58.5

1 projector x 99.95 = 99.95

53.9 + 58.5 + 99.95 = $211.9

Answer: She spent $212.35

Step-by-step explanation:

77 markers for $0.70 each. 30 rulers for $1.95 each, and a projector for 99.95.

Multiply 77 by 0.70 giving you $53.90 spent on markers.

Then multiply 30 by 1.95 giving you $58.50 spent on rulers.

Add these totals to the cost of the projector and get a grand total of 212.35.

Answer:

23 apple pies and 13 cherry pies were sold.

Step-by-step explanation:

Let's use the variables a and c to represent the number of apple and cherry pies sold, respectively.

From the problem, we know that:

The total number of pies sold is 36: a + c = 36

The total revenue from pie sales is $304.00: 7a + 11c = 304

We now have two equations with two unknowns. We can use substitution or elimination to solve for a and c. Here's one way to use substitution:

Solve the first equation for a: a = 36 - c

Substitute a = 36 - c into the second equation: 7(36 - c) + 11c = 304

Simplify: 252 - 7c + 11c = 304

Simplify further: 4c = 52

Solve for c: c = 13

Substitute c = 13 into the first equation to solve for a: a + 13 = 36

Simplify: a = 23

Therefore, 23 apple pies and 13 cherry pies were sold.

Step-by-step explanation:

The formula :

\(\displaystyle \rm S=A\cdot \left (1+\frac{N}{100} \right )^{\big r}\)

where r is years ; N is the percentage by which we increase the price ; A is the original price

In our case :

\(\rm r=1 \ \ ; \ \ A=100 \ \ ; \ \ N=7,5\% \\\\ S=1000\cdot \bigg( 1+\dfrac{7,5}{100} \bigg)^1=1000\cdot 1,075=\boxed{1075\$}\)

Then the monthly salary is equal to:

\(\dfrac{1075}{12} \approx 89,58 \$\)

The system specification with predicates, quantifiers, and logical connectives are:

a. ∃C(x) ∀F(y) such that if F(y) is true, C(x) is true.

b. ∀U(x) (∃M(y) if ∀U(z), ∃M(w) is true, then E(x) is true).

c. ∀B(x) (∃D(y) D(y) can detect B(x) ↔ (∃P(z) ¬P(z) is true)).

d. ∀E(x, y) (∃P(z, w) and ∃P(u, v) such that P(z, w) and P(u, v) connect

E(x, y)).

e. ∀U(x) (¬P(x) is true, except for the system administrator who knows all passwords: ∀U(y) P(y) if y is the system administrator).

We have,

a.

Let C(x) be the predicate "x is a console" and F(x) be the predicate "x is a fault condition".

The specification can be expressed as:

∀F(x) ∃C(y) such that if F(x) is true, C(y) is true.

b.

Let U(x) be the predicate "x is a user" and M(x) be the predicate "x is a message".

The specification can be expressed as:

∀U(x) ∃E(y) such that if ∀U(x), ∃M(z) is true, E(y) is true.

c.

Let B(x) be the predicate "x is a security breach", D(x) be the predicate "x is a detection mechanism", and P(x) be the predicate "x is a compromised process".

The specification can be expressed as:

∀B(x) ∃D(y) such that D(y) can detect B(x) if and only if ∃P(z) such that ¬P(z) is true.

d.

Let E(x, y) be the predicate "x and y are distinct endpoints" and P(x, y) be the predicate "x and y are connected by a path".

The specification can be expressed as:

∀E(x, y) ∃P(z, w) and ∃P(u, v) such that P(z, w) and P(u, v) connect E(x, y).

e.

Let U(x) be the predicate "x is a user" and P(x) be the predicate "x knows the password".

The specification can be expressed as:

∀U(x) ¬P(x) is true, except for the system administrator who knows all passwords, which can be expressed as:

∀U(x) (x is the system administrator → P(x)).

Thus,

The system specification with predicates, quantifiers, and logical connectives are:

a. ∃C(x) ∀F(y) such that if F(y) is true, C(x) is true.

b. ∀U(x) (∃M(y) if ∀U(z), ∃M(w) is true, then E(x) is true).

c. ∀B(x) (∃D(y) D(y) can detect B(x) ↔ (∃P(z) ¬P(z) is true)).

d. ∀E(x, y) (∃P(z, w) and ∃P(u, v) such that P(z, w) and P(u, v) connect

E(x, y)).

e. ∀U(x) (¬P(x) is true, except for the system administrator who knows all passwords: ∀U(y) P(y) if y is the system administrator).

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Answer:

Hal and Pat, a married couple filing jointly, had the mortgage debt on their principal residence cancelled in 2021. What is the maximum amount of qualified principal residence debt cancellation that they can exclude from their income?

X and Z are not independent random variable as P(X = x and Z = z) and  P(X = x) * P(Z = z) are not equal for most values of x and z by using their joint probability

To prove that two random variables are independent,  to show that their joint probability distribution is equal to the product of their individual probability distributions. Start with part (a) and then move on to part (b).

(a) Let X be the first digit and Y be the second digit of the chosen number from the set {10, 11, 12, ..., 99}.

Step 1: Calculate the probabilities of X and Y individually.

To find the probability of X taking any particular value,

The probability of X taking any value x (where x is a digit from 1 to 9) is given by:

P(X = x) = (number of numbers starting with digit x) / (total numbers)

= 9 / 90

= 1 / 10

Similarly, for Y, since there are 10 digits (0 to 9) and  choose the second digit uniformly at random, the probability of Y taking any value y is:

P(Y = y) = (number of numbers with digit y as the second digit) / (total numbers)

= 10 / 90

= 1 / 9

Step 2: Calculate the joint probability P(X, Y).

The joint probability is the probability that X takes a particular value x and Y takes a particular value y simultaneously.

P(X = x and Y = y) = (number of numbers with digit x as the first digit and digit y as the second digit) / (total numbers)

= 1 / 90

Step 3: Check if X and Y are independent.

Two random variables X and Y are independent if and only if their joint probability equals the product of their individual probabilities.

P(X = x and Y = y) = P(X = x) * P(Y = y)

1 / 90 = (1 / 10) * (1 / 9)

Since the equation holds for all values of x and y,  conclude that X and Y are independent random variables.

(b) Let X be the first digit of the chosen number and Z be the sum of the two digits.

Step 1: Calculate the probabilities of X and Z individually.

Calculated the probability distribution for X in part (a), which is P(X = x) = 1 / 10 for x = 1 to 9.

To  calculate the probability distribution for Z, the sum of the two digits:

For Z = 0: There is only one number, 10, with a sum of digits equal to 0.

P(Z = 0) = 1 / 90

For Z = 1: There are two numbers, 10 and 01, with a sum of digits equal to 1.

P(Z = 1) = 2 / 90

= 1 / 45

For Z = 2: There are three numbers, 11, 20, and 02, with a sum of digits equal to 2.

P(Z = 2) = 3 / 90

= 1 / 30

For Z = 3: There are four numbers, 12, 21, 03, and 30, with a sum of digits equal to 3.

P(Z = 3) = 4 / 90

= 2 / 45

For Z = 4: There are five numbers, 13, 31, 04, 40, and 22, with a sum of digits equal to 4.

P(Z = 4) = 5 / 90

= 1 / 18

For Z = 5: There are four numbers, 14, 41, 23, and 32, with a sum of digits equal to 5.

P(Z = 5) = 4 / 90

= 2 / 45

For Z = 6: There are three numbers, 15, 51, and 24, with a sum of digits equal to 6.

P(Z = 6) = 3 / 90

= 1 / 30

For Z = 7: There are two numbers, 25 and 52, with a sum of digits equal to 7.

P(Z = 7) = 2 / 90

= 1 / 45

For Z = 8: There are two numbers, 26 and 62, with a sum of digits equal to 8.

P(Z = 8) = 2 / 90

= 1 / 45

For Z = 9: There is only one number, 36, with a sum of digits equal to 9.

P(Z = 9) = 1 / 90

Step 2: Calculate the joint probability P(X, Z).

The joint probability is the probability that X takes a particular value x and Z takes a particular value z simultaneously.

Formula:

P(X = x and Z = z) = (number of numbers with digit x as the first digit and the sum of digits equal to z) / (total numbers)

Check the case where X = 1 and Z = 2 as an example:

Numbers with digit 1 as the first digit and a sum of digits equal to 2: 12 and 21 (two numbers)

P(X = 1 and Z = 2) = 2 / 90

= 1 / 45

Step 3: Check if X and Z are independent.

To determine if X and Z are independent, we need to compare their joint probability to the product of their individual probabilities for all values of x and z.

However, if compare the joint probabilities P(X = x and Z = z) to P(X = x) * P(Z = z), find that they are not equal for most values of x and z.

Therefore, conclude that X and Z are not independent random variables.

as P(X = x and Z = z) and  P(X = x) * P(Z = z) are not equal for most values of x and z.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

_x_tens 5 ones=6tens 5 ones

5x=65

x=65/5

x=13

sorry i donot get answer at 15 ones.

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

\(\stackrel{f(x)}{y}~~ = ~~x^3+9\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~y^3+9} \\\\\\ x-9=y^3\implies \sqrt[3]{x-9}=y=f^{-1}(x)\)

The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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Answer:

that would be 39,00

Step-by-step explanation:

Answer:

39,000

Step-by-step explanation:

807 is closer to 1,000 then 0 so add another 1,000.

Have a great day!

The product of 0.105 and 1000.2000 has three significant digits.

The answer is D. 3.

To determine the number of significant digits in the product of 0.105 and 1000.2000, we need to consider the rules for significant figures in multiplication.

In multiplication, the result should have the same number of significant digits as the measurement with the fewest significant digits. Let's analyze the given numbers:

0.105 has three significant digits (leading zeros are not significant).

1000.2000 has eight significant digits.

When multiplying these numbers, the product is 105.02100. The measurement with the fewest significant digits is 0.105 with three significant digits. Therefore, the product should also have three significant digits to maintain accuracy and precision.

Hence, the answer is D. 3. The product of 0.105 and 1000.2000 has three significant digits. It's important to consider significant figures in calculations to ensure the appropriate level of precision and avoid introducing misleading or inaccurate information.

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Answer:

-2

Step-by-step explanation:

\((-3)^2+3(-3)-2\\=9-9-2\\=-2\)

Answer:

We are given the function h(y) = 4|y + 2| - 3

So, to get the value of h(-8), we just have to replace the y in the equation with -8

In functions, the variable in the parentheses next to the name of the function is the variable we have to replace since the function is defined in the terms of that one variable. When you do more advanced questions, you will encounter functions with more than 1 variable

h(y) = 4 | y + 2 | - 3

replacing y with -8 to get the output in terms of -8

h(-8) = 4 | -8 + 2 | -3

h(-8) = (4 * 6) - 3

h(-8) = 24 - 3

h(-8) = 21