Natalie is paid for writing numbers on pages of a book. She is paid for writing each digit of the number. If she wrote 702 digits, how many pages is the book?

Answer:

Step-by-step explanation:

Given the equation of the lines 3x + y - 4 = 0, 4x - 5y + 30 = 0,  y = – 3x – 1, and - 4x + 5y + 10 = 0. For us to be able to predict the type of quadrilateral formed by this lines, we need to find the slope of each of the lines. Any two lines with the same slope will be parallel lines.

The standard form of equation of a line is expressed as y = mx+c where m is the slope of the line.

Re-writing each equation in standard format:

For the line 3x + y - 4 = 0;

3x+y = 4

y = 4-3x

y = -3x + 4

Hence the slope of the line is -3

For the line 4x - 5y + 30 = 0:

4x-5y = -30

-5y = -30-4x

-5y = -4x-30

divide through by -5

y = 4/5 x + 6

Hence the slope of this line is 4/5

For the line y = – 3x – 1:

The line is already in its standard format, hence the slope of the line is -3

For the line - 4x + 5y + 10 = 0:

-4x+5y = -10

5y = -10+4x

5y = 4x-10

divide through by 5

y = 4/5 x - 10/5

y = 4/5 x - 2

Hence the slope of this line is 4/5

From the slopes above, it can be seen that the line 4x - 5y + 30 = 0 is parallel to  - 4x + 5y + 10 = 0 and that of the line 3x + y - 4 = 0 is parallel to y = – 3x – 1 due to their similar slope.

To know the the type of quadrilateral formed by this lines, first we need to check whether two dissimilar lines are perpendicular to each other. If they are perpendicular to each other, it means the quadrilateral could be a square or a rectangle but if otherwise, it will either be a parallelogram or a rhombus.

For two lines to be perpendicular, the product of their slope must be -1 i.e m1m2 = -1

For the first two lines:

m1 = -3 and m2 = 4/5

Taking their product:

-3*4/5 = -12/5

Since the product did not give use -1, hence the quadrilateral is neither a square nor a rectangle. The quadrilateral can therefore either be a parallelogram or a rhombus since the intersecting lines of either shapes are not perpendicular to each other.

Step-by-step explanation:

Data:

In this question, we're given with a line thought which two lines interest on the common point of that line. Thus, one pair of vertically opposite angles are formed here. We are also obtained with many straight lines.

In those, one straight line has been given with three measurements are 64°, 40° and 76° .

To find:

13⟩. Angle SYX

14⟩. Angle XYW

15⟩. Angle WYV

16⟩. Angle SYW

17⟩. Angle TYX

18⟩. Angle VYX

Solution:

First of all we should find all the given measurement angle vertically opposite angles, After that we can easily find the angles the question has said.

We know that the vertically opposite angles are always equal, so

Angle SYT = Angle WYV = 64°

Angle TYU = Angle XYW = 40°

Angle UYV = Angle SYX = 76°

Now,

13⟩. Angle SYX = 76°

14⟩. Angle XYW = 40°

15⟩. Angle WYV = 64°

16⟩. Angle SYW = 76° + 40° = 116°

17⟩. Angle TYX = 64° + 76° = 140°

18⟩. Angle VYX = 64° + 40° = 104°

Please let me know if you have any other questions.

Answer:

1. y=18, x=25 2. y=5, x=-4

Step-by-step explanation:

For the first one, you have to find what x or y equals, and I chose x. x would equal y+7. Then I just plugged in x to the other equation and solved for y. After finding y, 18, I plugged it back into the first equation and got 18+7=25. I did the same steps for the 2nd one as well.

The fish's position with respect to the water's surface at 4:00 p.m. is 3/4.

What is a fraction?

Any number of equal parts is represented by a fraction, which also means a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Here, we have

Based on the given conditions, formulate: 3 1/4 - 2 1/2

Remove the parentheses: 3 + 1/4 - 2 - 1/2

Reorder and combine like terms: (3-2)+1/4 - 1/2

Calculate the sum or difference: 1+ 1/4 - 1/2

Expand the fraction to get the least common denominator: 4/(1×4) + 1/4 - 2/(2×2)

Calculate the product or quotient: 4+1/4 - 2/(2×2)

Calculate the product or quotient: 4 + 1/4 - 2/4

Write the numerators over the common denominator: 4 + 1 -2/4

Calculate the sum or difference: 5 - 2/4

Calculate the sum or difference: 3/4

Hence, the fish's position with respect to the water's surface at 4:00 p.m. is 3/4.

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The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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Answer:

N = 43.2

F = 129.6

Total books = F + N = 129.6 + 43.2 = 172.8

Please note that number of books cannot be in fraction, there is some mistake in formulating the question!

But nevertheless, the key concept here is to learn how to set up such algebraic equations.

Step-by-step explanation:

Let F denotes fiction book

Let N denotes non-fiction book

There are 3 times as many fiction books as non-fiction in a library.

Mathematically,

F = 3N          eq. 1

120 fiction books are loaned out and 24 non-fiction books

Mathematically,

F - 120 = remaining fiction books  

N - 24 =  remaining non-fiction books  

There are now twice as many fiction books as non-fiction.

Mathematically,

2(remaining fiction books) = (remaining non-fiction books)

2(F - 120) = (N - 24)         eq. 2

Substitute eq. 1 into eq. 2

2(3N - 120) = (N - 24)

Simplify the equation,

6N - 240 = N - 24

6N - N = 240 - 24

5N = 216

N = 216/5

N = 43.2

Please note that number of books cannot be in fraction, there is some mistake in formulating the question!

But nevertheless, the key concept here is to learn how to set up such algebraic equations.

So back to the problem.

F = 3N

F = 3(43.2)

F = 129.6

So the total books in the library are

Total books = fiction + non-fiction

Total books = F + N = 129.6 + 43.2 = 172.8

Answer:

F=3N

F-120 = Remaining fiction

N-24 = remaining Non fiction

F=2N

2(F-120)=N-24

2(2N-120)=N-24

4N-240 = N-24

3N=216

N=72

from Eq 1

F=3N

F=3(72)

F=216

total = F+N

total = 216 + 72

total = 288

Step-by-step explanation:

Answer:

There is no picture below?

Step-by-step explanation:

Answer:

1 2/5 is your answer in decimal form it is 1.4

4+3/5

7/5~Simplify this fraction~

1 2/5~Is your answer after you simplify~

Answer:

7/5, or 1 2/5 if you're looking for a mixed fraction.

Step-by-step explanation:

Since the denominators are the same, just add the numerators and keep the denominator the same. 7/5

times means to multiply, so you would have to do 0.9 x 0.6, which equals 0.54

ken swims 0.54 miles on sunday :)

Answer:

ken swims 0.54 miles on sunday :)

Step-by-step explanation:

Answer:

jayfeather friend me

Step-by-step explanation:

1

8

=

3

(

3

−

6

)

1

8

=

9

−

1

8

2

Add

1

8

18

18

to both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Solution

=

4

Dilation scale factor:-

Hence he found the opposite scale factor which is for enlargement .

Answer:

D

Step-by-step explanation:

To find the scale factor of dilation, measure the distance between one of the points and the center of dilation for both the original shape and the dilated shape, then compare.

Distance from (0, 0) to point A = 9 units

Distance from (0, 0) to point A' = 2 units

Let x be the scale factor of dilation:

⇒ 9x = 2

⇒ x = 2/9

So the scale factor of dilation that reduces ΔABC to ΔA'B'C' is \(\sf \frac29\).

Therefore, the mistake the friend made was finding the scale factor that enlarges ΔA'B'C' to ΔABC

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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x=(17,4)^2+(−340,−80)+58y= y^2−20y+68

y=y^2−20y+68

A possible confounding variable that that would help explain the relationship between hair length and height of college age students is their gender.

Confounding variable is an extraneous variable that is related to both the dependent and independent variable, and it affects the result of the study. Therefore, it causes the effect of the independent variable on the dependent variable to be distorted. A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender).For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. Hence, a possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender.

A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. The gender of college age students could play a role in determining their height and hair length. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender). For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. This means that the relationship between the two variables was not a direct one, but was rather due to the confounding variable (gender). Therefore, in order to determine if there is a direct relationship between hair length and height of college age students, the study needs to control for gender.

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Answer:  32x exponent 23

Step-by-step explanation:

The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.

The equivalent is the expression that is in different forms but is equal to the same value.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ (x²³)³²

We know that if \(\rm \left ( n ^{a} \rigth )^{b} = n^{a \times b}\), then we have

\(\rm \rightarrow \left (x^{23} \right ) ^{32}\\\\\rightarrow \left (x \right ) ^{23 \times 32}\)

Simplify the expression, then the expression will be given as,

⇒ x⁷³⁶

The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.

The complete question is given below.

Which expression is equivalent to (x²³)³²?

A. x⁵⁵

B. x⁷⁶⁸

C. x⁶⁶

D. x⁷³⁶

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Answer:see answers below

Step-by-step explanation:Slope=

2.000

0.750

​

=0.375

a−intercept=

3

0

​

=0.00000

b−intercept=

−8

0

​

=−0.00000

The height of the quarter is given by the polynomial -16t^2 + 250 feet and the height of the dime is given by the polynomial -16t^2 - 10t + 100 feet.

To compare the height of the quarter and dime at any time t, we need to find the difference between their heights.

Let's first find the height of the dime when the quarter is released, which is at t=0:

Height of the quarter at t=0: 16(0)^2 + 250 = 250 feet

Height of the dime at t=0: -16(0)^2 - 10(0) + 100 = 100 feet

So, the initial height difference between the quarter and dime is 250 - 100 = 150 feet.

Now, let's find the height difference between the quarter and dime at any time t:

Height of the quarter at time t: 16t^2 + 250

Height of the dime at time t: -16t^2 - 10t + 100

So, the height difference at time t is:

(16t^2 + 250) - (-16t^2 - 10t + 100) = 32t^2 + 10t + 150

Therefore, the height difference between the quarter and dime at any time t is given by the polynomial 32t^2 + 10t + 150.

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Answer:

20400

Step-by-step explanation:

its 2.03x10x10x10x10 so first ten: 20.4 and ten: 204 3rd ten: 2040 last ten :20400

Answer: Slope is 1 and the intercept is 4

Answer:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

Step-by-step explanation:

there

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. To find out how many prime numbers there are between 30 and 50, we need to check each of the numbers from 30 to 50 to see if it is a prime number.

A prime number is a number that is only divisible by 1 and itself. The prime numbers between 30 and 50 are: 31, 37, 41, 43, and 47.

Therefore, there are 5 prime numbers between 30 and 50.

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Answer:

Step-by-step explanation:

1 is correct and 2 is correct

Answer:

x = 3, y =2? 5×3 - 2×2

Step-by-step explanation:

im not sure

Answer:

The answer to your problem is, A. The Allstars, with a mean of about 67.1 inches

Step-by-step explanation:

Allstars mean height:

= (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15

= 1007 / 15

= 67.6 inches

Super Stars mean height:

= (66 + 68 + 62 + 63 + 47 + 64 + 65 + 50 + 60 + 64 + 65 + 65 + 58 + 60 + 55) / 15

= 912 / 15

= 60.2 inches

We can see that the Allstars team has a higher mean height than the Super Stars team, with an average of 67.6 inches compared to 60.2 inches. Therefore, the Allstars team typically has the tallest players

Thus the answer to your problem is, A. The Allstars, with a mean of about 67.1 inches

A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.

This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.

The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.

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The percentage of young adults who send fewer than 218 text messages is 99.87%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 218

μ = mean = 128

σ = standard deviation = 30

z-score = (218 - 128) / 30

z-score = 90 / 30

z-score = 3

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score = 3

probability = 0.9987

To get the percentage, multiply the probability by 100.

percentage = probability x 100

percentage = 0.9987 x 100

percentage = 99.87%

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The population of yellowfin snapper in the Bahamas is 8.

In the given scenario, scientists are interested in the health of yellowfin snapper in the Bahamas. In the Bahamas, twenty yellowfin snappers are captured, weighed, have a blood sample taken and then are released. The average weight of the 20 snappers was 2.5 pounds. We have to find out the population using this information.

In statistics, a population is the entire set of objects, people, animals, or events that we are interested in studying. A sample is a subset of the population. We often take samples because it's not possible to observe or measure every member of the population directly.

The formula to find the population from the sample mean is:P = n / X

where, P is the population, n is the sample size, and X is the sample mean. Putting the given values in the above formula, we get:

P = 20 / 2.5 = 8

Thus, the population of yellowfin snapper in the Bahamas is 8.

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Answer:

10 i think because I added them i don't know though I hope it work sorry