An author works on a new book and after writing a few chapters, begins a new plan to write 600


words per day. On the fifth day of working on this plan. 4,500 words have been written.


If the equation y=600. 0 + b represents the total number of words the author has written, y, based


on the number of days, x, since the new plan was started, what is the value of b?

Answer:

jimmy took 2 1/4 hours

Step-by-step explanation:

just add both fractions

(3/2) + (3/4) = 9/4 = 2 1/4 hours

Step-by-step explanation:

We need to add 3/4 of an hour to Alan's time.

Let's put Alan's time into a pure fraction.

\(1\frac{1}{2} = \frac{2}{2}\frac{1}{2} = \frac{3}{2}\)

Now we can add 3/4 to 3/2.

First, we need to find a common denominator (the bottom number).

4 and 2 is easy. The common denominator is 4. So let's solve it.

\(\frac{3}{2} * \frac{2}{2} = \frac{6}{4}\)

\(\frac{6}{4} + \frac{3}{4} = \frac{6+3}{4}\)

Answer:

it is 519020

Step-by-step explanation:

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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Answer: We can start by using the information given to find the total bill amount.

If the water/sewer/garbage portion of the bill is 72% of the total bill, then the remaining 28% of the bill must be for other utilities. We can use a proportion to set up the equation:

72/100 = 94.41/x

where x is the total bill amount.

We can cross-multiply and solve for x:

72x = 100 * 94.41

x = (100 * 94.41) / 72

x = 123.84

To the nearest cent, the total amount of the utility bill was $123.84.

Step-by-step explanation:

High within-groups variance obscure between-groups variance causes more overlap between experimental/comparison groups. So the correct option is b.

High within-groups variance can obscure between-groups variance in a few different ways. It can limit the types of statistical analyses that can be conducted. For example, if there is a lot of variability within each group, it may not be possible to accurately compare the means of the groups using a t-test.

High within-group variance can cause more overlap between the experimental and comparison groups. This overlap can make it more difficult to see any differences between the groups. Finally, high within-group variance can lead to null results. This occurs when the variability within each group is so great that any differences between the groups are not statistically significant.

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The nearest 1000 is 160000.

Answer:

Step-by-step explanation:

The 160138 to the nearest 1000 is 160000

Answer:  If the original equation is y = 3x -4,  the slope is 3.

Any equation of a line parallel to the line y = 3x -4 will have a slope of 3.

Step-by-step explanation:

In slope-intercept form, y =mx + b the coefficient of x, m is the slope.

Here 3 is that value.

It is very unusual to have two equal signs in a question about slope.

I am not sure what to do with the =8y + 1

Is this supposed to be another equation in the system, missing a term?

Answer:

Answer: 91.25%

Step-by-step explanation:

Convert fraction (ratio) 36.5

Answer:

$14.6

Step-by-step explanation:

36.5% of 40 = 0.365 × 40 = 14.6

Answer:

what is the question ?

Step-by-step explanation:

The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Abby climbed above her original starting position of a height of 18 feet .

According to the graph Abby's climb begins at 4 feet in 0 minute and ends at 0 feet in 22 minutes. However, Abby reaches her highest point at 22 feet in 8 minutes .

Starting point of Abby's climb = 4 feet in 0 minute

End point of Abby's climb = 0 feet in 22 minutes

Highest point of Abby's climb = 22 feet in 8 minutes

Abby climbed above her original starting position = highest point - starting point

Abby climbed above her original starting position = 22 feet - 4 feet

Abby climbed above her original starting position = 18 feet .

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Answer:

Step-by-step explanation: since the 1.5 is suppose to be on the x axis, you plot the point between 1 and 2. Ten you go down to the y axis since it is negative and plot it between -2 and -3.

click the file below to see the answer:

Addition symbols are called plus signs. They are used to indicate a mathematical operation or expression that adds two numbers or values together. They are represented by a cross or a plus sign (+) and are usually placed between the two values being added.

The plus sign is often used in algebra and other mathematical equations to indicate that two numbers should be added together. It is also used in programming languages to indicate the addition of two values. Additionally, the plus sign is used to indicate the inclusion of something, such as a plus sign in front of a movie title to indicate that it is an extended edition.

The plus sign is an important part of mathematics and programming and is used in many different contexts. It is a versatile symbol that is used to indicate the addition of two values. Knowing how to use the plus sign correctly is an important part of understanding basic mathematics and programming.

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The scale factor of the model of the airplane is 1 feet : 15 feet.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension using the scale factor.

Scale factor = original dimensions / dimensions of the scale drawing

90 / 6 = 15

1 : 15

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Answer:

\(\boxed {\boxed {\sf D. \ 23.5}}\)

Step-by-step explanation:

The median is the number in the middle of a set of data. To find, we place the numbers in order from least to greatest and pick the middle number.

The data set is:

This is already in order from least to greatest, so we can begin removing numbers from each side of the list until the middle is reached.

Now we have 2 numbers that are in the middle. To find the median, we take the mean or average of these 2 numbers. Add them together, then divide by 2.

The median of this data set is 23.5 and choice D is correct.

Answer:

una función aritmética es cualquier función matemática definida para enteros (..., 3, 2, 1, 0, 1, 2, 3, ...) y dependiente de esas propiedades del propio entero como un número, en contraste con las funciones que se definen para otros valores (números reales, números complejos, o incluso otras funciones) y que implican varias operaciones de álgebra y cálculo.

Answer:

d. 7 and 16; 8 :14,4:7 and 16:28.

Answer:

D. 7 and 16; 8 : 14, 4 : 7, and 16 : 28

Step-by-step explanation:

1. the first ratio for 8 and 14 is 4 : 7. so that would eliminate the first two answer choices.

2. since the ratio is 4 : 7, that would mean the second value for buses is 7 because the second value for taxis is 4. and the second values for both taxis and buses would be equal to the ratio.

3. 28 is the third value for the bus. and since the ratio is 4 : 7, you have to find the value that 7 can be multiplied by to get 28. 7 multiplied by 4 is 28. you also have to multiply the first number of the ratio (4) by 4. and the product would be 16.

4. So the final answer is D.

The area of metal needed to make the tool is r² times the sum of 1/2π and the square root of 3.

To determine the area of metal needed to make the tool, we need to find the areas of the semicircle and the isosceles triangle and then add them together.

The area of a semicircle with radius r is:

A(semi-circle) = 1/2πr²

Since the tool consists of a semicircle, we can use the diameter of the semicircle to represent the width of the isosceles triangle.

Let the height of the isosceles triangle be h and the base be b.

Since the triangle is isosceles, we can divide it in half and treat it as a right triangle.

Using the Pythagorean :

h² + (b/2)² = r²

Since the diameter of the semicircle is the same as the base of the isosceles triangle, we have:

b = 2r

Substituting this into the equation above, we get:

h² + r² = 4r²

h² = 3r²

h = √(3)r

The area of an isosceles triangle with base b and height h is:

A(triangle) = 1/2bh

Substituting b = 2r and h = √(3)r, we get:

A(triangle) = 1/2(2r)(√(3)r)

A(triangle) = √(3)r²

Adding the area of the semicircle and the isosceles triangle, we get:

A(tool) = A(semi-circle) + A(triangle)

A(tool) = 1/2πr² + √(3)r²

A(tool) = r²(1/2π + √(3))

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Answer:

Step-by-step explanation:

just multiply all sides  of the ciube i belive iunyou

The surface area of the rectangular prism is 724 sq.cm.

"In geometry, a net is a two dimensional structure that can be folded to form a three-dimensional shape."

The area of a rectangular prism with length l, width w and height h,

A = 2 × [( w × l) + (h × l) + (h × w)]

For given situation,

If we join the each corner of the net, it will form a rectangular prism with height 10 cm, length 12 cm and width 11 cm.

Here, h = 10 cm, l = 12 cm, w = 11 cm

Using the formula of the surface area of rectangular prism,

⇒ A = 2 × [( 11 × 12) + (10 × 12) + (10 × 11)]

⇒ A = 2 × (132 + 120 + 110)

⇒ A = 2 × 362

⇒ A = 724 sq.cm.

Therefore, the surface area of the rectangular prism is 724 sq.cm.

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Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

The diver will be in the air for approximately 0.78 seconds to the nearest hundredth of a second.

The equation that represents the height of the diver above the surface of the pool is given by:

h(t) = -16t² + 6t + 33

where t is the time in seconds and h(t) is the height of the diver above the surface of the pool in feet.

The diver will be in the air until he reaches the surface of the pool, which means that his height will be 0. Therefore, we can set h(t) equal to 0 and solve for t:

-16t² + 6t + 33 = 0

We can use the quadratic formula to solve for t:

t = (-b ± sqrt(b² - 4ac)) / 2a

where a = -16, b = 6, and c = 33.

Plugging in these values, we get:

t = (-6 ± sqrt(6² - 4(-16)(33))) / 2(-16)

t = (-6 ± sqrt(36 + 2112)) / (-32)

t = (-6 ± sqrt(2148)) / (-32)

Simplifying:

t = (-6 ± 46.34) / (-32)

So we have two solutions:

t = (-6 + 46.34) / (-32) ≈ 0.78 seconds

t = (-6 - 46.34) / (-32) ≈ 2.64 seconds

Since the diver cannot be in the air for a negative amount of time, we reject the second solution.

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Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2x+2.5y = 34

x+y = 15

0.5y = 4

y=8

Answer:

The common factors of 12 and 24 are 1,2,3,4,6 and 12. What times what gives 24 as result? One time of 24 equal to 24, Two times of 12 is 24, Three times of 8 are 24, Four times of 6 are 24. Put your understanding of this concept to test by answering a few MCQs.

Step-by-step explanation:

Hope this helps!

See solution below

Explanation:

a) 5x - 7 ≤ -2

collect like terms:

5x ≤ -2 + 7

5x ≤ 5

Divide through by 5:

x ≤ 1

From the graph above, the inequality has a solution.

b) 2/3b > -8

Cross multiply:

2 > -8(3b)

2 > -24b

Divide through by -24:

Note: when we divide an inequality by a negative number, the inequality sign changes.

2/-24 < b

-1/ 12 < b

Hence, b > -1/12

Note: To make it easier to graph, I represented b with x

From the graph above, the inequality has a solution.

c) 3w - 7 - w < 2w + 4

2w - 7 < 2w + 4

collect like terms:

2w - 2w < 4 + 7

0 < 11

Note: To make it easier to graph, I represented b with x

From the graph, the solution is for all real numbers.



Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

Answer:

7x-34 because...

product means multiply the variable x by 7

7x

decreased mean we subtract 34 from 7x

7x-34

Answer: 78120000 miles

Step-by-step explanation:

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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\((f+g)(x)= f(x) .g(x)\)\((f+g)(0) = f(0)+g(0) = 1+\frac{1}{2} = \frac{3}{2}\)\(g(0) = \frac{1}{2-0} =\frac{1}{2}\)Answer:

Step-by-step explanation:

We are given:

\(f(x) = x^{2} +1\ ;g(x) = \frac{1}{2-x}\)

We need to find:

a) \((f+g)(0)\)

b) \((f.g)(0)\)

\(f(0) = 0^{2} +1 = 1\)

\(g(0) = \frac{1}{2-0} =\frac{1}{2}\)

a) we know that

\((f+g)(x)= f(x) +g(x)\)

\((f+g)(0) = f(0)+g(0)\)

Using the value of f(0) and g(0)

we get

b) we know that

\((f+g)(x)= f(x) .g(x)\)

\((f+g)(x)= f(x) .g(x) = (1)(\frac{1}{2}) =\frac{1}{2}\)

So we have answer for a) 3/2 and for b) 1/2

Using the expressions to evaluate each function we are left with the following:

To evaluate the expressions, we simply need to substitute the value of x with 0 in the given functions and then perform the indicated operations. For part a, we need to add the functions f and g, and for part b, we need to multiply them:

(f + g)(0) = f(0) + g(0) = (0² + 1) + (1 / (2 - 0)) = 1 + (1 / 2) = 1.5

(f · g)(0) = f(0) * g(0) = (0² + 1) * (1 / (2 - 0)) = 1 * (1 / 2) = 0.5

In conclusion, we have that (f + g)(0) = 1.5 and (f · g)(0) = 0.5.

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