For the f**unction** f(x) = x + 2, the** value **of x when f(x) = 1, gives x = -1

An equation is an **expression** that shows the **relationsh**ip between two or more numbers and variables.

Equations are classified based on** degre**e (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be** dependent or independent**. Dependent variables depend on other variable while an independent variable do not depend.

Given that:

f(x) = x + 2

When f(x) = 1, substituting:

1 = x + 2

x = -1

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Last year, Josh biked b miles. This year, he biked 430 miles. Using b, write an expression for the total number of miles he biked.

**Answer:430 + b**

**Step-by-step explanation:Last year he biked b miles. This year he biked 430 miles. Add the two to get your answer. Hope this helps!**

**Answer: **b+430= total number of miles biked

**Step-by-step explanation:**

Use the ALEKS calculator to solve the following problems.

(a) Consider a t distribution with 5 degrees of freedom. Compute P (t≤ 1.05). Round your answer to at least three decimal

places.

P (t≤1.05)=

(b) Consider a t distribution with 26 degrees of freedom. Find the value of C such that P(-c
answer to at least three decimal places.

c=

1.Consider a 5-**degree**-of-freedom t **distribution**. P (t≤1.05)=0.829.

2. Think about a t **distribution **with 26 possible **degree**. P(t>c)=0.05 and c=1.7056

Given that,

We have 2 question

1. Consider a 5-**degree**-of-freedom t **distribution**.

We have to find P (t≤1.05) at least three decimal places, round your response.

From t- value cumulative **distribution **function

Given a t-value and the **degrees **of freedom, locate the area under the t-**distribution **from -t to t.

P(t≤1.05)=0.829.

Therefore, P(t≤1.05) is 0.829.

2. Think about a t **distribution **with 26 possible **degree**. P(t>c)=0.05.

We have to find c at least three decimal places.

From inverse t-value **distribution **function

t=invT(0.95,26)=1.7056

Therefore, c is 1.7056

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Isaac wants to play miniature golf. Go Golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the cost would be the same.

For 47 Go golf and 54 golf game would the **cost** be the same.

Given that -

Go Golf charges -

Ball and club **rental** = $2.50

For 1 game = $4.25 and

Golf Games charges -

Ball and club rental =$3.25

For 2 game = $8.50

Find out - For how many games would the cost be the same?

Total charges of Go golf per game = $2.50 + $4.25 = $6.75

Total charges of Golf game for 2 games = $3.25 + $8.50 = $11.75

For per game = $11.75 / 2 = $5.875

For Go golf let game = x and

for golf game let game = y

6.75 x = 5.875y

**Transformation** of the fraction

27/4 x = 47/8 y

After cross multplication

54x = 47y

x/y = 47 / 54

then x = 47

and y = 54.

Hence, The** price** would be the same for both the 47 and 54 golf games.

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Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 405,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $30,000; second year, $75,000; third year, $90,000; fourth year, $120,000. Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 2nd Year 3rd Year Preferred stock (dividends per share). Common stock (dividends per share) 1st Year 0.50 X 4th Year

please help we are stuck on 2nd year and explanation.

The **dividends per share** on each class of stock for each of the four years are as follows:

Cumulative Preferred Common Stock

First-year, $0.50 $0

Second year, $0.70 $0.08

Third year, $0.60 $0.13

Fourth year, $0.60 $0.21

How are the dividends per share determined?The **dividends per share** for each class can be determined by dividing the allocated dividend by the number of shares in the issue.

The **allocated dividend **to each class depends on the amount of dividend declared. For **cumulative preferred stock**, when their fixed dividend cannot be sufficiently settled, the arrears are carried forward.

3% Cumulative Preferred Common Stock

Par value $20 $25

Issued shares 60,000 405,000

Stock Value $1,200,000 $10,125,000

Preferred Fixed Dividend = $36,000 ($1,200,000 x 3%)

Distributed Dividends: Cumulative Preferred Common Stock

First-year, $30,000 $30,000 $0.50 $0 $0

Second year, $75,000 $42,000 $0.70 $33,000 $0.08

Third year, $90,000 $36,000 $0.60 $54,000 $0.13

Fourth year, $120,000 $36,000 $0.60 $84,000 $0.21

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A die is a rolled. the set of equally likely outcomes is {1,2,3,4,5,6} find the probability of getting a 3

**Answer:**

1/6th chance

**Step-by-step explanation:**

Since there are 6 possible outcomes that will be the denominator, now count the number you want to roll, in this case 1 since you only want to find the probably of getting a 3. So the probably is 1/6

Vani needs to order some new supplies for the restaurant where she works. The restaurant needs at least 795 forks. There are currently 315 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine x, the number of sets of forks Vani could buy for the restaurant to have enough forks.

48 **sets** of forks Vani could buy for the restaurant to have enough forks.

An **inequality** in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.

Given Data

The restaurant needs at least 795 forks. There are currently 315 forks.

If each **set** on sale contains 10 forks

(10 ×(x)) ≥ (795-315)

10x ≥ 480

x ≥ 48

48 sets of forks Vani could buy for the restaurant to have **enough** forks.

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what is the perimeter of a rectangle with a length of 60m and a width of 75m?

I'll mark brainlest

**Answer: 270m**

**Step-by-step explanation:**

The width is the same on both sides of the rectangle: 75m.

The length is also the same on each side of the rectangle: 60m each.

Add these all up for the perimeter: 75+75+60+60 = 270

**Answer:**

270 m is the answer

**Step-by-step explanation:**

add 75m + 60m + 75m + 60m

= 270m

Suppose that y varies directly with x and that y=77 when x=7. What is the value of x when y=55? Responses 50 50 11 11 24 24 5

As y **varies directly **with x, the numerical **value **of **x **when y = 55 is 5.

**Proportional relationships **are relationships between two **variables **where their ratios are equivalent.

A **direct variation **equation is a linear equation in **two **variables.

It is expressed as;

y ∝ x

Hence,

y = k(x)

Where k is **proportionality constant**.

Given that;

y = 77x = 7Proportionality constant k = ?First, we determine the **proportionality constant **of the direct variation.

y = k(x)

77 = k(7)

Divide both sides by 7

77/7 = k(7)/7

k = 77/7

k = 11

Now, we find the **value** of **x **when y = 55

y = k(x)

55 = 11(x)

Divide both sides by 11

55/11 = 11(x)/11

x = 55/11

**x **= 5

Therefore, the **numerical **value of **x **is 5.

Option D)5 is the correct answer.

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2 17/35+5 5/7 in simplest form.

PLS :(

**Answer:**

ur answer is 8 1/5

**Step-by-step explanation:**

2 3/16 divided by 3 3/4

**The answer to your question is =**

**0.583333333**

**I believe the answer is 0.58333333333. I think it would be 0.583 if you rounded it up. Hope this helps:)**

Triangle side splitter theorem question

Applying the side splitter theorem

we have that

PT/TS=PQ/QR

so

substitute the given values

7/21=PQ/27

solve for PQ

PQ=27*7/21

PQ=9

Find the value of PR

PR=PQ+QR

PR=9+27

PR=36Which of the following numbers is written in scientific notation?

The **numbers **that are written in **scientific notation **are:

1.8 x [tex]10^{9}[/tex]

3.2 x [tex]10^{-9}[/tex]

*5.99 x *[tex]10^{-9}[/tex]

**Scientific notation **is a method used in mathematics to compress large numbers to smaller numbers. In order to write a number in s**cientific notation**, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example: 1 x 10² is equivalent to 100

The decimal point in s**cientific notation, **must be between the first non zero digit number and the second non-zero digit number.

When writing numbers that are less than zero in s**cientific notation, **the power would have a negative sign in front of it. For example, 1 x [tex]10^{-2}[/tex] is equal to 0.01.

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18. Given J(x. -8) and K(-1,-5) and the graph

of line / below, find the value of x so that

JK \\1.

answer: solutions is x = - 2

C(x)=0.08x+9.75

What is the total cost for an order of 30 copies?

**Answer:**

**C^−1 (x) = 12.5 x − 121.875**

**Step-by-step explanation:**

I believe this is the correct answer

Can somebody tell me the answer to 1293/18?

The remainder of the answer to 1293/18 needs to be written as a fraction.

The result of the 1293/18 in** mixed fraction** is [tex]71\frac{5}{6}[/tex] and 5 is the remainder

**The mixed fraction** is a fraction that represented with its quotient and remainder. So generally mixed fraction is a combination of a whole number and a simple fraction.

**Simple fraction** is a fraction that have whole number as numerator and denominator. Top term in the simple fraction is called numerator and bottom term is called denominator

The given expression is

1293/18 = [tex]71\frac{5}{6}[/tex]

Where 71 is the quotient

5 is the** remainder**

6 is the divisor

Hence, the result of the 1293/18 in mixed fraction is [tex]71\frac{5}{6}[/tex] and 5 is the remainder

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Find f(3) graph of function

**Answer:Explanation: **

(3)=5

In a graph, te value of f(x) is the cy-value for the given x-value.

Consider the graph below:

• When the x-value = 3

,• The corresponding y-value = 5.

[tex]f\mleft(3\mright)=5[/tex]**Therefore, the value of f(3) is 5.**

The short answer for the answer above is f(3)=5

Triangle PQT and Triangle RSU are similar right triangles. Which proportion can be used to show that the slope of QT is equal to the slope of RS?

**AAS congruency** is used to show the required **proportion**.

Angle-Angle-Side is referred to as AAS. The triangles are said to be congruent if two of a triangle's **angles **and one of its non-included sides are equal to the **equivalent angles** and **sides** of another triangle.

In the given question ΔPQT ≅ ΔRSU

because ∠QPR= ∠RUS [ each 90°]

∠PQR= ∠URS [ since QP is** parallel** to UR so these two angles are corresponding angles]

PT= US

thus from AAS congruency ΔPQT ≅ ΔRSU

Thus QT = US from cpct

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Please explain The polynomial passes through the point of (-4, -8) and has end behavior of down, down. The

intercepts of the graph are x = -2, 1, 2, and 4.

**Answer:**

**The y-value of the point (4, 8) is (obviously) 8. Since the line has a slope of zero, everywhere on the line will have a y-value of 8. So the equation of the line is y = 8. The x-value can be any number, but the y-value will always be 8**

factorise this expression as fully as posaible

5x² + x³

**Answer: 625/12**

**U just have to find the roots then the product then eliminate the exponent.**

**Mark branliest <3**

Trigonometric functions using the ratio of two sides of a triangle can be used to solve ______ triangles.

A. acute

B.obtuse

C.oblique

D.right

**Trigonometric functions** using the **ratio **of two sides of a triangle can be used to solve** D.right **triangles.

To solve for a missing side of a **right angle**, one can use **trigonometric functions **that will use the ratio of the other two known sides of the triangle in question.

For instance, using the trigonometric function of Sin can allow for the use of the opposite **side **and the hypotenuse to find the adjacent side. The Cos and Tan can also be used for the other sides.

This means that either of two sides (including the hypotenuse) can be used to find the other.

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What is the rule for 6,8,12,18

**Answer: add 2 to the addends and then add that to the number itselx which would be like 6+2=8, 8+4=12, 12+6=18, 18 +8=26, 26+10=36, 36+12=48, so on and so forth**

**Step-by-step explanation: brainliest please? i could really use it**

**Answer:**

you add 4 each time

**Step-by-step explanation:**

you need to add 4 to the number you have each time

Felipe is on his way home in his car his drive is 12 miles long he has finished one fourth of the drive so far how far is he driven

**Answer: 3**

**Step-by-step explanation: We know that Felipe has driven 1/4 of the way, so 12 divided by 4 is 3.**

0.0001 in scientific notation

**Answer:**

1 × 10^-4

**Step-by-step explanation:**

**This is because after the decimal point there are 4 numbers so u have to put -4, and the 1 is there because of the last number**

**Answer:**

1 × 10^-4

**Step-by-step explanation:**

ms. smith sharpened 135 pencils. her students used 88 of them how many sharpened pencils does Ms. smith have left.

**Answer: 47**

**Step-by-step explanation:**

PleSe help me solve this problem

**Answer:**

56

**Step-by-step explanation:**

[tex]\binom{8}{3}=\frac{8!}{5!3!}=56[/tex]

Q 2. Using a standard deck of cards (which has 26 red cards and 26 black cards, with 13 cards of

every suit), what is the probability of selecting a red card, and then after replacing the card, selecting a

heart card?

**Answer:**

1/8

**Step-by-step explanation:**

First Pick P(red card) = 26/52 = 1/2

Second Pick after replacement P(heart) = 13/52 = 1/4

P(red on first pick and heart on second pick

= 1/2 x 1/4 = 1/8

these five frames show a shapes different positions

From the attached image, we can tell that:

From 1 to 2: There is a **shift **from left to right along the same plane (x-axis).

From 2 to 3: There is a 90° **rotation **in the **clockwise **direction.

From 3 to 4: There is a **negative vertical shift**. Assuming a y-axis this would be from the top down.

From 4 to 5: There is a 180° **rotation **in the **clockwise direction**.

It is to be noted that a **rotation **is a sort of **transformation **that rotates each point in a figure a specific number of degrees **around **a particular **point**.

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**Full Question:**

These five frames (in the attached image_ show shapes of different positions. Describe how the shape moves to get from its position in each frame to the next.

According to a candy company, packages of a certain candy contain % orange candies. Suppose we examine random candies. a. What value should we expect for our sample percentage of orange candies? b. What is the standard error? c. Use your answers to fill in the blanks below. We expect ____% orange candies, give or take _____%. Question content area bottom Part 1 a. We should expect 22% of the candies in the sample to be orange. (Type an integer or a decimal.) Part 2 b. What is the standard error? SE 0.021 (Round to three decimal places as needed.) Part 3 c. Use your answers to fill in the blanks below. We expect enter your response here% orange candies, give or take enter your response here%. (Round to one decimal place as needed.)

The **sample percentage** of orange candies is 0.22, and the standard error is 0.0195 and the expected 22% orange candies, give or take 1.95%.

a) It is assumed that there are 450 random candies with a p=0.22 percentage of orange candies.

As a result, the orange candy sample percentage should be 0.22.

b) Substituting the above data into the **standard error formula**, compute the needed value as shown below:

SE= √(p × q) ÷ n = √(0.22 × 0.78) ÷ 450 = 0.0195.

Therefore, the answer is 0.0195.

c) Fill in the blanks with the calculated values to get the following:

Therefore, expected 22% orange candies, give or take 1.95%.

We know that if a population proportion, p is drawn from n **Bernoulli trials**, then the sample proportion, p vector follows an approximately normal distribution, given the sample size is large. The sample **proportion's standard error** is given by √(p × q) ÷ n.

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Alan is excited to learn how to ski she went to White peaks Mountain rentals pair of skis for $45 and check for hours of group skiing lessons Alan paid 165 an hour which equation can use to find how much white peaks charges for each hour of group skiing lessons

4(h+45)=165

4h+45=165

45(h+4)=165

45h+4=165

**Answer:**

4h+45=165

**Step-by-step explanation:**

The cost of the skates does not fluctuate, therefore it always costs $45 no matter how long you use them for.

**Answer:**

4h + 45 = 165

**Step-by-step explanation:**

The question was a little hard to understand, but I made some assumptions based off of the answer choices and the information. If any of the assumptions I made sound incorrect, please don't use my answer!

Based off of the question and answer choices, I'm going to *assume *that Alan paid an initial price of $45 for the skis and then spent 4 hours skiing for an unknown hourly rate. The total amount of money she spent was $165.

Let h represent the hourly rate. Since Alan spent 4 hours skiing, 4 multiplied by h will represent the amount of money Alan paid for her skiing time.

Alan spent a total of $165. This means that the cost of the skis ($45) plus the cost of her ski time (4h) equals $165. This can be represented in this equation:

4h + 45 = 165

:)

Help find x-coordinate please

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+6}x\stackrel{\stackrel{c}{\downarrow }}{+3} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 6}{2(1)}~~~~ ,~~~~ 3-\cfrac{ (6)^2}{4(1)}\right) \implies \left( - \cfrac{ 6 }{ 2 }~~,~~3 - \cfrac{ 36 }{ 4 } \right)\implies (\stackrel{x}{-3}~~,~~-6)[/tex]

If there are six H2O molecules, then the notation is 6H2O .How many atoms of hydrogen are there? b. How many atoms of oxygen are there? c. How many of each type of atom would there be if these six water molecules underwent electrolysis?
Samuel buys 3 4K TVs for $1200 each. There is ashipping charge of $90 to have all 3 TVs delivered to hishouse. How much does Gordon pay in total?
awkins requested permission to communicate with the predecessor auditor and review certain portions of the predecessor auditor's working papers. the prospective client's refusal to permit this will bear directly on hawkins' decision concerning the
Michelle has an average score of 70 for three tests.What must she score on the next test to increase her average to 74?
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Read "The Mouse, the Bird, and the Sausage" by The Brothers Grimm. Then, answer the question that follows. Once upon a time, a mouse, a bird, and a sausage, entered into partnership and set up house together. For a long time all went well; they lived in great comfort, and prospered so far as to be able to add considerably to their stores. The bird's duty was to fly daily into the wood and bring in fuel; the mouse fetched the water, and the sausage saw to the cooking. When people are too well off, they always begin to long for something new. And so it came to pass, that the bird, while out one day, met a fellow bird, to whom he boastfully expatiated on the excellence of his household arrangements. But the other bird sneered at him for being a poor simpleton, who did all the hard work, while the other two stayed at home and had a good time of it. For, when the mouse had made the fire and fetched in the water, she could retire into her little room and rest until it was time to set the table. The sausage had only to watch the pot to see that the food was properly cooked, and when it was near dinner-time, he just threw himself into the broth, or rolled in and out among the vegetables three or four times, and there they were, buttered, and salted, and ready to be served. Then, when the bird came home and had laid aside his burden, they sat down to table, and when they had finished their meal, they could sleep their fill till the following morning: and that was really a very delightful life. Influenced by those remarks, the bird next morning refused to bring in the wood, telling the others that he had been their servant long enough, and had been a fool into the bargain, and that it was now time to make a change, and to try some other way of arranging the work. Beg and pray as the mouse and the sausage might, it was of no use; the bird remained master of the situation, and the venture had to be made. They therefore drew lots, and it fell to the sausage to bring in the wood, to the mouse to cook, and to the bird to fetch the water. And now what happened? The sausage started in search of wood, the bird made the fire, and the mouse put on the pot, and then these two waited till the sausage returned with the fuel for the following day. But the sausage remained so long away, that they became uneasy, and the bird flew out to meet him. He had not flown far, however, when he came across a dog who, having met the sausage, had regarded him as his legitimate property, and so seized and swallowed him. The bird complained to the dog of this bare-faced robbery, but nothing he said was of any avail, for the dog answered that he found false credentials on the sausage, and that was the reason his life had been forfeited. He picked up the wood, and flew sadly home, and told the mouse all he had seen and heard. They were both very unhappy, but agreed to make the best of things and to remain with one another. So now the bird set the table, and the mouse looked after the food and, wishing to prepare it in the same way as the sausage, by rolling in and out among the vegetables to salt and butter them, she jumped into the pot; but she stopped short long before she reached the bottom, having already parted not only with her skin and hair, but also with life. Presently the bird came in and wanted to serve up the dinner, but he could nowhere see the cook. In his alarm and flurry, he threw the wood here and there about the floor, called and searched, but no cook was to be found. Then some of the wood that had been carelessly thrown down, caught fire and began to blaze. The bird hastened to fetch some water, but his pail fell into the well, and he after it, and as he was unable to recover himself, he was drowned.Which two themes can be supported by details in the text?Change is always a good thing.Focusing on your unhappiness can lead to ruin.Someone claiming to know what's best for you is often right.Avoid listening to advice from those unfamiliar with your situation. A and B A and C B and C B and D
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