Mark each of the following True or False. The statements involve matrices A,B, and C that are assumed to have appropriate size. a. If A=B, then AC=BC. b. If AC=BC, thenA= B
. c. If AB=O, then A=O or B=O.

Answer:

c° + 148° = 180° (St. angle)

c° = 180° - 148°

c° = 32°

then,

c° = d° = 32° ( alternative angle)

then,

let's d (crosspounding angle)

d° + 62° = 180° (St. angle

d° = 180° - 62°

d° = 118°

then,

d° = a° = 118° (crosspounding angle)

then,

a° = b° = 118° (vertically opposite angle)

I hope you can know this answer

Each book must have a unique code, then we want to find the total number of combinations of 4 upper cases followed by a number.

We will see that the maximum number of books that the library could assign codes using this system is 4,569,760

To find the total number of combinations, first, we need to find each selection.

Here we have 5 selections:

Now we want to find the number of options for each one of these selections.

Assuming that the letters can be used multiple times, for each one of the letters we have 26 options (from A to Z)

And for the number, we have 10 options (for 0 to 9)

Then we have:

The total number of combinations is just the product between all of these numbers of options, we will get:

C = 26*26*26*26*10 = 4,569,760

So there are 4,569,760 different codes, thus, the maximum number of books that the library could assign codes using this system is 4,569,760

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The greatest integer function y=⟦x⟧ is not an odd function. This is because the greatest integer function maps each real number x to the greatest integer less than or equal to x, which is always an integer.

If x is positive, then y=⟦x⟧ is also positive, and if x is negative, then y=⟦x⟧ is negative. This means that the function is not symmetric about the y-axis, which is a necessary condition for an odd function.

A function is odd if f(-x) = -f(x) for all values of x in the domain of the function. This means that the function is symmetric about the origin. For example, the function \(f(x) = x^3\) is an odd function, since \(f(-x) = -x^3 for all x.\)

The greatest integer function does not satisfy this condition.

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The number miles travelled is  8.2352 miles

What is a number ?

An item in mathematics used for measurement, labeling, and counting is a number. The prime numbers 1, 2, 3, 4, and so forth are the original examples. Number words can be used to represent numbers in language.

The arithmetic value of a number is one that is used to denote amount. As a result, a number is a mathematical concept used for counting, measuring, and labeling. As a result, mathematics is based on numbers.

An arithmetic value known as a number is used to represent a quantity and do calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.

The equation is

8.75 = 1.75 + 0.85m

m = The number of miles

Solving the equation

8.75 - 1.75 = 0.85 m

m = 7 / 0.85

   = 8.2352 miles

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t= is the variable, number of hours

Hours can't be negative.

So the domain is all positive integers.

Answer:

A

Step-by-step explanation:

"4 Inches shorter than twice Jackson's height" means 2h-4 and 68 is Dans height so A

Answer:

25%

Step-by-step explanation:

\(6 \times 6 = 36 \\ 3 \times 3 = 9 \\ \frac{9}{36} = \frac{25}{100} \)

The inequality equation is x ≥ ( by - c - d ) / a

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

by - d ≤ ax + c    be equation (1)

On simplifying the equation , we get

Subtracting c on both sides of the equation , we get

by - d - c ≤ ax

And , ax ≥ by - d - c

Divide by a on both sides of the equation , we get

x ≥ ( by - c - d ) / 2

Hence , the inequality is x ≥ ( by - c - d ) / a

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Savings account: $4 / $200 = 0.02 x 100 = 2%

Bond: $85 / $1000 = 0.085 x 100 = 8.5%

Real Estate: $6,400 / $40,000 = 0.16 x 100 = 16%

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

13 is the answer to 8 less than a number

Answer:

The equation needs to be in standard form

Step-by-step explanation:

The equation needs to be in standard form

so the the coefficients a, b and c can be determined

for use in the quadratic formula

Answer:

Step-by-step explanation:

y= 2x+36

x=36

If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.

The mean refers to the average of the data value.

The mean can be computed as the quotient of the total value divided by the number of items in the data set.

The mean weight of 4 backfield members on the football team = 211lb

The total weight of the 4 backfield members = 844lb (211 x 4)

mean weight of the 7 other players on the football team = 203lb

The total weight of the 7 other players = 1,421lb (203 x 7)

The total weight of the 11 football team members = 2,265lb (844 + 1,421)

The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)

= 206lb

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Answer:

follow the respected colored points and create lines for each of the equations.

This study had a sample size of 59 participants.

It is a mathematical concept used to quantify the chance of an event happening, ranging from 0 to 1.

Probability theory provides tools to analyze and model uncertain events and assess risk and uncertainty.

The information provided in the article reports that a single-sample t-test was conducted, with the t-value (t(59) = 2.24) and p-value (p = .03) reported. The value in parentheses after the t-value is the degrees of freedom, which indicates the number of participants in the study.

In this case, the degrees of freedom is 59, which means that the sample size was 59 participants. The t-value of 2.24 indicates that the mean difference between the sample and the population is 2.24 standard errors. The p-value of .03 indicates that the probability of observing the sample mean given the null hypothesis is .03, which is significant at the .05 level.

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\(\cfrac{7}{9}(-3^3)+5\implies \cfrac{7}{9}(-1\cdot 3^3)+5\implies \cfrac{7}{9}(-1\cdot 27)+5\implies \cfrac{7}{9}(-27)+5 \\\\\\ \cfrac{7(-27)}{9}+5\implies \cfrac{-189}{9}+5\implies -21+5\implies -16\)

Answer:

-16

Step-by-step explanation:

7/9(-3^3) + 5

7/9(-27) + 5

7/9 x -27 = -21

-21 + 5 = -16

(Hope this helps :) )

Answer:

Regular Checking account

Step-by-step explanation:

You can only make 3 withdrawals from money markets per month. You can’t withdraw money from cds without penalty.

Answer:

sol`n:

D=l=6cm

E=b=8cm

F=h=10cm

then,

area of triangle=12bh

                         =12*8*10

                         =960cm^2

The inverse of the functions g(x), p(x), and t(x) are expressed as; g⁻¹(x) = 3√(x + 5), p⁻¹(x) = 3√(x/2) - 3, and t⁻¹(x) = (3x/10) - 3. respectively.

A function is said to have an inverse if it is both one-to-one and onto

we replace the functions g(x), p(x), and t(x) with y and make x the subject to arrive at the inverse g⁻¹(x), p⁻¹(x), and t⁻¹(x) as follows;

For g(x)= x³ - 5:

y = x³ - 5

y + 5 = x³ {add 5 both sides}

x = 3√(y + 5) {take cube root}

g⁻¹(x) = 3√(x + 5).

For p(x) = 2(x+3)³:

y = 2(x+3)³

y/2 = (x+3)³ {divide through by 2}

3√(y/2) = x + 3 {take cube root}

x = 3√(y/2) - 3 {subtract 3 from both sides}

p⁻¹(x) = 3√(x/2) - 3.

For t(x) = 10(x-4)/3:

y = 10(x-4)/3

3y = 10(x-4) {cross multiplication}

3y/10 = x + 3 {divide through by 10}

(3y/10) - 3 = x {subtract 3 from both sides}

t⁻¹(x) = (3x/10) - 3.

Therefore, the inverse of the functions g(x), p(x), and t(x) are derived by interchanging the value of x for y and expressed respectively as; g⁻¹(x) = 3√(x + 5), p⁻¹(x) = 3√(x/2) - 3, and t⁻¹(x) = (3x/10) - 3.

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Answer: 9

explanation: 6x4 is 24 - 15 = 9

Answer:

Step-by-step explanation:

Solve: \(\frac{b+15}{6}\) = 4

\(\frac{b+15}{6}\) = 4

b + 15 = 24

b = 24 - 15

b = 9

Answer:

56 ÷ 0.7 is 80

0.7 ÷ 56 is 0.0125

Answer:

y would equal 6 if x is the start of the pattern

there are also many more answers that go with this question fyi that is only one of them

Step-by-step explanation:

hoped that help:P

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Step-by-step explanation:

a)  Given:  t1/2 = ln(0.5) / k       ( this is NATURAL ln...NOT base 10 LOG)

     then  k =   ln(0.5) / ( t1/2)      and t 1/2 is given as 1620 yrs

              k = ln(0.5) / 1620 = - 4.279  x 10^-4  

b)   New = n e^(kt)      n = 20 g   t = 5000   k (given above)

  New = 20 e^(-4.279 x 10^-4 * 5000)  = 2.23 g left

c)   1/4  =  e^(kt)

       1/4 = e^( 4.279x 10^-4  * t)    solve for t years

         t = 3240 years   <==== which makes sense    

                                             say you started with  10 g

                                               after one half life you would have 5

                                                  one more half life you would have 2.5

                                                      so two half lives and you have 1/4 as much

                                                            two half lives = 1620 x 2 = 3240 years      

The probability of 4 out of 20 Americans being satisfied with the way things are going in the United States is 0.204. The probability of at least 2 being satisfied is 0.999. The expected number of satisfied Americans is 10, with a variance of 5 and a standard deviation of 2.24.

a. Using the binomial distribution, the probability that exactly 4 of the 20 Americans surveyed are satisfied with the way things are going in the United States is:

P(X = 4) = (20 choose 4) * (0.5)⁴ * (0.5)¹⁶ = 0.204

b. To compute the probability that at least 2 of the Americans surveyed are satisfied with the way things are going in the United States, we can use the complement rule:

P(X ≥ 2) = 1 - P(X < 2)

Using the binomial distribution, we get:

P(X < 2) = P(X = 0) + P(X = 1) = (20 choose 0) * (0.5)⁰ * (0.5)²⁰ + (20 choose 1) * (0.5)¹ * (0.5)¹⁹ = 0.00098

Therefore,

P(X ≥ 2) = 1 - P(X < 2) = 1 - 0.00098 = 0.999

c. The expected number of Americans who are satisfied with the way things are going in the United States is:

E(X) = n * p = 20 * 0.5 = 10

d. The variance of the number of Americans who are satisfied with the way things are going in the United States is:

Var(X) = n * p * (1 - p) = 20 * 0.5 * 0.5 = 5

The standard deviation of the number of Americans who are satisfied with the way things are going in the United States is:

SD(X) = √(Var(X)) = √(5) ≈ 2.24

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Answer:

y+1 = 5(x+2)

Step-by-step explanation:

Slope = 5 = (y - -1) /(x - -2)

So 5 = (y+1)/(x+2)

Meaning y+1 = 5(x+2)