Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate. How many words does Tia type in 1 minute? Find the unit rate.​

Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19

Solution

For this case we have the following:

We can create the following table

Interval (- infinity, -6) (-6, 8) (8, infinity)

Sign - + +

What is the solution

For this case the solution is:

x < -6

(1) negative

(2) positive

(3) positive

Using it's concept, the sample space for the experiment is:

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

Hence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:

{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}

The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.

You can learn more about sample space at https://brainly.com/question/25861936

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

#SPJ1

Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

The radius of circle M is equal to 3.99 cm.

In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:

Area of sector = θπr²/360

Where:

By substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = θπr²/360

12.36 = 89(3.142/360) × r²

12.36 = 0.7768r²

Radius, r = √15.9114

Radius, r = 3.99 cm.

Read more on arc length here: brainly.com/question/28108430

#SPJ1

After solving the equation we know that the mass of Sean and Ian is 62kf and 59.5 ks respectively.

Equation: A statement stating the equality of two expressions containing variables or numerical values.

Equation: A formula that uses the equals sign to combine two expressions and declare their equality.

In essence, equations are questions, and the methodical pursuit of solutions to these questions has served as the driving force behind the creation of mathematics.

Sean mass = x

Lan mass = x - 2.5

Then, form the equation and solve it as follows:

x + (x - 2.5) = 121.5

x + x - 2.5 = 121.5

2x - 2.5 = 121.5

2x = 121.5 + 2.5

2x = 124

x = 124/2

x = 62

Then, x - 2.5 = 59.5.

Therefore, after solving the equation we know that the mass of Sean and Ian is 62kf and 59.5 ks respectively.

Know more about equations here:

brainly.com/question/2972832

#SPJ1

Answer:

-1 1/6

Step-by-step explanation:

just use your calculator

Answer:

-1 1/6

Step-by-step explanation:

used a calculator

Answer:

2

Step-by-step explanation:

2x2/2 is 2, with a triangle you half it, but lxw/2 hope this helps

the area of a triangle = 1/2 × base × height

so the equation will be

so when we multiply the answer is ...

really hope that helps :))

The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer: $43,823.37

Step-by-step explanation:

Formula to calculate the accumulated amount earned on principal (P) at rate of interest (r) compounded daily after t years :

\(A=P(1+\dfrac{r}{365})^{365t}\)

As per given , we have

P= $ 30,700

r= 8.9 % = 0.089

t= 4 years

\(A=30700(1+\dfrac{0.089}{365})^{365(4)}\\\\=30700(1+0.0002438)^{365(4)}\\\\=30700(1.0002438)^{1460}\\\\=30700(1.42747138525)\\\\=43823.3715272\approx43823.37\)

Hence, the amount at the end of 4 years would be $43,823.37 .

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

If you are trying to factor it is 14(3a+b).

But if you are looking for the greatest common factor it is 14.

The GCF of  42a + 14b is 14 which is 14(3a + b).

GCF stands for the greatest common factor of two or more two given terms. A number is GCF of two or more than two terms is the highest term that divides the given terms completely.

Given,  42a + 14b and we have to factor this with a GCF.

In terms of variables a and b, there is no common factor.

In terms of 14 and 42 GCF is 14 as 14 is the highest no. that divides these two nos. completely.

So, 42a + 14b.

= 14(3a + b).

learn more about GCF here :

https://brainly.com/question/11444998

#SPJ2

Answer:D

Step-by-step explanation: It is none of them because it is translated up one unit and then reflected across the y axis.

Answer:

\(2x + 2x = ? \\ when \: x = 10 \\ putting \: the \: value \: of \: x \: in \: the \: equation \\ 2 \times 10 + 2 \times 10 \\ 20 + 20 \\ 40\)

Answer:

Step-by-step explanation:

2x+2x when x=10

\(2\left(10\right)+2\left(10\right)\)

\(2\times 10+2\times 10\)

\(20+20\)

\(40\)

Hope it helps!

The slant height of the cone is 12.6 units

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

h= 12

diameter = d = 8

so, radius, r = d/2 = 8/2 = 4

Formula for slant height , l is:

l = √(h² + r²) = √(12² + 4² )

 = √(144 + 16) = √160 = 12.649 ≈ 12.6 units

The slant height of the cone is 12.6 units

To learn more about the solids from the given link

https://brainly.com/question/25727148

#SPJ1

Answer:

1. Placebos are used to randomly assign participants to treatment or control ?

False.

2. Using a random chance procedure to assign subjects to treatment or control reduces bias ?

True.

3. A well-designed placebo allows an experiment to be conducted blind. ?

False.

4. In an observational study, the investigators assign the subjects to treatment or control. ?

False.

5. In a blind experiment, the subjects do not know whether they are in the treatment group or control group. ?

True.

6. Placebos are used so that even the people who do not receive a treatment can benefit from the study. ?

True.

7. A placebo is used in all controlled experiments. ?

True.

8. Controlled experiments can be randomized or nonrandomized.

True.

Step-by-step explanation:

Placebos are not techniques for conducting experiments.  They are devices or drugs used when conducting a controlled study or research involving the administering of items to two different groups, such that one group gets the real item while the other group gets another item that is made to look like the real item without the participants knowing the difference. The purpose is to enable the results from the control group to be compared to the results of a treatment group. Randomization is the process used to assign subjects to treatment or control groups in order to reduce bias.

Answer:

-4x^5 y^3- 3x^4 y^3+x^5 y^2

Answer:

A. Only points C and D

This is because they are on the x-axis, so if reflected, they stay in the same spot. It's like pushing your finger against a mirror. The mirror itself is in the same place, but your finger is reflected inside it  hope you enjoy the answer have a great day.

Step-by-step explanation:

The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

For more questions on down payment

https://brainly.com/question/1698287

#SPJ8

a) The distribution of Z can be found using the cumulative distribution function (CDF) of S and T.

b) X and Z are not independent because X affects the value of Z.

c) X and Y are not independent because they are both related to the values of S and T.

For a, The distribution of Z can be found using the cumulative distribution function (CDF) of S and T. Let F(x) and G(x) be the CDFs of S and T, respectively. Then

P(Z = 1) = P(S > 2T) = P(T < S/2) = 1 - P(T >= S/2) = 1 - G(S/2)

P(Z = 0) = 1 - P(Z = 1) = G(S/2)

For b, Similarly, Y and Z are not independent because Y affects the value of Z. Finally, (X, Y) and Z are not independent because both X and Y affect the value of Z.

For c, X and Y are not independent because they are both related to the values of S and T. The minimum and maximum of two random variables are dependent.

The distribution of Z can be calculated using the cumulative distribution function of S and T. X and Z, Y and Z, and (X, Y) and Z are not independent because X, Y, and Z are all related to the values of S and T. X and Y are not independent because they are both the minimum and maximum of two random variables and are dependent on each other.

Learn more about Distribution:

https://brainly.com/question/24802582

#SPJ4

Answer:

The reciprocal is simply the opposite, so flip it. For te first one, since its a negative, flip it to make it positive, and flip 1/5 to 5/1. I hope this helps

Step-by-step explanation:

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

Learn more about adding mixed fractions here:

https://brainly.com/question/21610929

#SPJ1

Answer: sure it's c

Step-by-step explanation:

A. The margin of error for a 99% confidence interval is $$2,320.75.

B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75

PART A.

The margin of error (ME) is determined using the formula:

ME= z ∗ σ/√n

where:

z is the z-score for the desired confidence level

σ is the population standard deviation

n is the sample size

For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.

Substituting these values into the formula, we have:

ME =  2.576 ∗ 10272/√130

ME = $2,320.75

PART B

The confidence interval (CI) is determined using the formula:

CI = \(\bar{x}\) ± ME

where:

\(\bar{x}\) is the sample mean

ME is the margin of error

The sample mean is $44,783, and the margin of error is $2,320.75.

Substituting the values into the formula, we get:

CI= 44783 ± 2320.75

CI = $42,462.25 to $47,103.75

Learn more about margin of error on:

https://brainly.com/question/31876031

#SPJ1

The least amount of water was lost at Lake Stockton. It's best to choose C.

Given that,

Three lakes lost water. Lake Stockton lost 246, 3 hundredths of its water, Lake Parlor lost 85% of its water, and Lake Jensen lost \(\frac{5}{6}\) of its water.

Percentage is calculated by multiplying the ratio of a material's composition to the total composition of a material by 100.

Here, the percentage of each lake following the draught is equal, i.e.

Lake Jensen = \(\frac{5}{6}\) =83.33%

Lake Parlor =85%

Lake Stockton =\(\frac{246}{300}\)=82%

Therefore, from obtaining a fraction we got the least amount of water was lost at Lake Stockton. It's best to choose C.

To learn more about percentage visit: https://brainly.com/question/28269290

#SPJ1

Answer: Lake Stockton

Please mark me brainliest!!!

Considering the given allowances, it is found that:

a) Tom's allowances are of $66,000, while Solomon's are of $40,000.

b) Tom's net income is of $151,500.

c) Solomon's net income is of $160,000.

An allowance is an exemption in the taxable income of a person, meaning that taxes are not paid over this amount.

Solomon is single, hence he only has the personal allowance of $40,000, and his net income will be of:

Solomon's net income = 0.75 x 160,000 + 40,000 = $160,000. (75% because 25% of the amount not claimed in allowances is paid in taxes).

Tom's allowances are given as follows:

Hence his total allowances are of:

$40,000 + $10,000 + $16,000 = $66,000.

His net income will be of:

Tom's new income = 0.75 x 114,000 + 66,000 = $151,500.

More can be learned about allowances and taxes at https://brainly.com/question/24738127

#SPJ1

Answer:

It will look like this

Step-by-step explanation:

The equation of line y = 4 / 5x + 8 / 5 can be represented on the basis of coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph attached below.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

-4x + 5y = 8

Write the line in slope intercept form as shown below,

5y = 4x + 8

y = 4 / 5x + 8 / 5

Put the random values of x and find y,

y = 4 / 5 × 0 + 8 / 5   (when x = 0)

y = 8 / 5

y = 4 / 5 × 1 + 8 / 5  (When x = 1)

y = 12 / 5

y = 4 / 5 × 10 + 8 / 5  (When x = 10)

y = 48 / 5

Plot the coordinates (0, 8/5), (1, 12/5), and (10, 48/5) in the graph and mark the points, joining all the points to get the line.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

For more such questions on Intersection, click on:

https://brainly.com/question/30915785

#SPJ8

Answer:

17

Step-by-step explanation:

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