Eric used this expression to find the distance he rode his bike.

78×45

How far did Eric ride his bike?

Enter your answer as a fraction in simplest form by filling in the boxes.

**Answer: 7/10 of a mile **

**Step-by-step explanation:**

**As we can use the expression that Eric used to solve this question! **

**7/8 x 4/5 = 7/10 of a mile **

Sand will be placed under a circular pool with a diameter of 20 feet. The sand depth should be 2 inches. How many cubic feet of sand are needed?

you need **628 square feet **of sand.

How many cubic feets of sand are needed?

Here we need to find the **volume **of the sand needed.

The volume filled with sand will be a **cylinder **of diameter of 20ft, and a height of 2 inches.

First, the **radius **is half of the **diameter**, then:

R = 20ft/2 =10ft

Remember that:

1ft= 12in

Then:

R = 10ft = 10*(12 in) = 120 in

And remember that the **volume **of a **cylinder **of radius R and height H is:

[tex]V = pi*R^2*H[/tex]

Where pi = 3.14

Then we have:

[tex]V = 3.14*(120 in)^2*2in = 90,432 in^2[/tex]

To get that in feets, we need to divide by 12 squared, then:

[tex]90,432 in^2 = 90,432ft^2/(12^2) = 628 ft^2[/tex]

So you need **628 square feet **of sand.

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An advertiser claims that 74% of people stream their TV, 12% have cable, and the rest do not watch TV. A test is conducted to evaluate the claim and the conclusion is fail to reject

using alpha = 0.1. What is your interpretation of the test result?

Considering the **hypothesis tested**, the **interpretation **is that there is **not enough evidence** to conclude that the percentages are different at a significance level of 0.1.

We** fail to reject **the null hypothesis, hence the **interpretation **is that there is **not enough evidence** to conclude that the percentages are different at a significance level of 0.1.

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If the speed of a fluid in a pipe of a Cross-sectional area 100 cm³ is 30ms, what will be it's speed in a pipe of radius 10cm connected to the other end.

**Answer:**

watch oreimo..

Write the trig form of the complex number

18i

The **trigonometric** form of the **complex** number given in the task content is; **18(isin(π/2))**.

If follows from the task content that the **complex** number whose **trigonometric** representation is to be determined is; **18i**.

Hence, It follows that the trigonometric form is;

= 18(cos(π/2) + isin(π/2)). where; **cos(π/2) = 0.**

Hence, we have;

= **18(isin(π/2))**.

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Match each number on the left with the correct description of the number on the right.

Here is the answer for your question.

In what statistical measurement would you be most interested when considering housing prices in a particular city?

**Answer: **

**Median**

**Explanation: **

**Real estate prices are virtually usually biased to the right. If we estimate the price of a typical home in a city at $500,000. We would have no trouble locating properties for $2 million and $3 million, and perhaps even some $5 or $6 million residences. However, you won't find houses for under $1.5 million. Because of this, the mean value is pulled toward the high end more than the median value.**

Can you help with this question? I'm not sure if the black highlighted choice is right

**Answer:**

See below

**Step-by-step explanation:**

Remember... when you square a negative number, you get a positive result

AND you cannot divide by zero AND you cannot have the sqrt of a negative number so:

-2 > x > 2 (looks like 'D' but there is a negative sign missing)

What is 20% of 50 apples

**Answer:**

10

**Step-by-step explanation:**

**Answer:**

10 apples

**Step-by-step explanation:**

20% of 50 = 10

10 apples

I’m confused on c and d please help me

**Answer:**

C is 27 and d is 16

**Step-by-step explanation:**

count how many cubes are on the first level and multiple but how many it goes up too

c is 26 and d is 16

count and then multiply

count and then multiply

3. Your new job requires you to calculate the material

costs for manufactured goods. One of goods you

manufacture is a fabric sample in the shape of a circle.

Given the formula A = πr^2, find the

area (A) of the fabric sample whose radius (r) is

7.6 x 10^7 m. Round your answer to the nearest thousandth. (Use 3.14 for π)

A= _____________ m^2

The **area **of the **circular **manufactured good is given by:

[tex]A = 1.8146 \times 10^{16} \text{m}^2[/tex]

What is the area of a circle?The area of a circle of** radius r **is:

[tex]A = \pi r^2[/tex].

In this problem, the **radius **in meters is:

[tex]r = 7.6 \times 10^7[/tex]

Hence the **area in m² **is:

[tex]A = \pi (7.6 \times 10^7)^2 = 181.46 \times 10^{14} = 1.8146 \times 10^{16} \text{m}^2[/tex]

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Mandy used the graph to write the equation of the line it represents. She took these steps. 1. y−intercept = (0, 2) 2. Slope = rise run = − 2 4 = − 1 2 3. Substituting values into y = mx + b y = x +

Based on the information given about the **equation**, y will be 0.5x + 2.

From the information given, it should be noted that the **equation** of the line it represents was given and the y **intercept** is = (0, 2).

The **function** to represent y will be:

y = mx + b

y = (1/2)x + 2

y = 0.5x + 2

In conclusion, y = 0.5x + 2.

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Rewrite as an exponential equation.

In 5 = y

The **equation **ln 5 = y as an **exponential equation **is [tex]e^y = 5[/tex]

The **natural logarithm **equation is given as:

ln 5 = y

Rewrite as:

ln(5) = y

Take the exponent of both sides

[tex]e^{ln(5)} = e^y[/tex]

Evaluate the expression

[tex]5 = e^y[/tex]

Rewrite as:

[tex]e^y = 5[/tex]

Hence, the **equation **ln 5 = y as an **exponential equation **is [tex]e^y = 5[/tex]

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The number of bats in a colony is growing exponentially. After 3 years, there were 272 bats. After 5 years, there were 1088 bats.

If the colony continues to grow at the same rate, how many bats are expected to be in the colony after 11 years? Do not include units in your answer.

The number of **bats** are expected to be in the colony after **11 years** if the **colony** continues to grow at the same rate is **69,632**

Let

Number of bat at a time = n(t)exponential function;

y = ax^t

When t = 3

272 = ax³

when t = 5

1088 = ax^5

divide both equation272/1088 = ax^3 / ax^5

1/4 = x^3-5

1/4 = x^-3

1/4 = 1/x²

1 × x² = 4 × 1

x² = 4

**x = 2**

Substitute x = 2 into

272 = ax³

272 = a × 2³

272 = a × 8

272 = 8a

**a = 272/8**

a = 34

Number of bat expected at the colony after 11 years

y = ax^t

= 34 × 2^11

= 34 × 2048

y = **69,632 bats**

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How do you work this equation? x² + x - 30 = 0

**Answer:**

x = 5 , x = - 6

**Step-by-step explanation:**

First we factor using factorisation method :

We need 2 numbers that multiply to give +1 and add to give -30 :

To find these numbers we write out all the factors of 30 :

1, 30

2 , 15

3 , 10

5 , 6 ----> These must be the numbers as -5+6 = 1

Now we split +x into -5x and +6x :

x² -5x + 6x -30 = 0

Factor the first 2 terms together and the last two terms :

x(x-5) + 6(x-5) = 0

Keep 1 bracket and terms outside the brackets collect them into one:

(x-5)(x+6) = 0

We know that 1 of these brackets must be equal to zero as anything multiplied by zero = 0

Either x - 5 =0 OR x + 6 = 0

So x = 5 x = - 6

These are our final answers

*Hope this helped and have a good day *

**Answer:**

(x-5) (x+6)

x=5

X=-6

**Step-by-step explanation:**

x²+x-30=0

factorizing

x²-5x+6x-30=0

x(x-5)+6(x-5) =0

(x-5)(x+6)=0

**now**** ****solve**** ****individually**

x-5=0

send 5 to the other side

x=5

x+6=0

send 6 to the other side

x=-6

hope you understand the procedure

Find a polynomial function of degree 7 with -1 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 1 as a zero

of multiplicity 1.

The **polynomial function **is P(x) = x^3(x + 1)^3(x -1)

The **zeros **of the **polynomial **and the **multiplicities **are given as:

The **degree **is given as

Degree = 7

The **polynomial **is represented as:

P(x) = (x - zero)^multiplicity

Using the above format, we have

P(x) = (x + 1)^3(x - 0)^3(x -1)

This gives

P(x) = x^3(x + 1)^3(x -1)

Hence, the **polynomial function **is P(x) = x^3(x + 1)^3(x -1)

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Two ares are congruent if they have the same measure and ?

Two ares are congruent if they have the same measure and **lengths**

The statement is given as:

*Two ares are congruent if they have the same measure and ?*

The conditions for **congruent shapes **in geometry are;

This means that the **angle **and the **length** must be equal

Hence, the term that completes the blank is **length**

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Work out the surface area.

**Answer:**

The surface area (SA) of the given triangular prism is **120****m****.**

**Step-by-step explanation:**

**Greetings**** ****!**

**B****/**c, SA=bh+(b₁+b₂+b₃)l

**Answer:**

SA = 120 m2

**Step-by-step explanation:**

one 9×5 rectangle = 45 m2

one 4×9 rectangle = 36 m2

one 9×3 rectangle = 27 m2

two (4×3)/2 triangles = 6 + 6 = 12 m2

Add the areas:

surface area = 45 + 36 + 27 +12 = 120 square meters

Hope this helps

Olivia has made a pyramid model for her history project at school. The pyramid model has a square base. Each triangular side of the

model has a base length of 10 centimeters and a slant height of 8.9 centimeters. Olivia wants to wrap the pyramid in wrapping paper

before putting it into her school bag.

How much wrapping paper will Olivia need to cover the pyramid?

OA. 178 square centimeters

OB. 89 square centimeters

OC. 456 square centimeters

OD. 278 square centimeters

**Answer:**

278 square centimeters

**Step-by-step explanation:**

You need to use the Pythagorean Theorm. If you're pyramid is a perfect square, then to the middle the length is 5. Because 10/2 is 5. You then use the Pythagorean Theorm (a^2 + b^2 =c^2) to find the side length of the traingle. When you square the hypotenuse and subtract the bottom leg sqaured, you are left with 3.46274054 after square rooting it. (c^2-a^2=b^2) Plug these into the equation for a right, rectangluar pyramid. You then get 277.9, rounded, is 278.

Hope this helps!

A role-playing game uses an 11-sided die that displays the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 What is the probability that someone throws the 11-sided die one time and rolls a number 9 or higher? Express your answer as a percentage rounded to one decimal place

Using it's concept, it is found that there is a **27.3% probability** that someone throws the 11-sided die one time and rolls a number 9 or higher.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are **11 numbers, 3 **of which are 9 or higher, hence the **probability **is:

p = 3/11 = 0.273 = 27.3%.

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Determine a limit for a piecewise function

The **limit** for the given piecewise function does not exist(DNE).

4th option is correct.

What is the limit of a function?In mathematics, **limits** are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on **limits**, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behavior at a certain time.

Unique real numbers are **limits** in mathematics.

According to the question,

Left hand **limit** of the function= -5(3)+4 = -15+4 = -11

Right hand **limit** of the function= (3)(3)+2 = 11

As the left and right-hand **limits** are not equal. Thus, the **limit** of the function does not exist.

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Joanne knitted a blanket that measures 174 cm by 230. Her sister asked joanne to make a matching one for her son. If joanne wants to make a similar blanket using a scale factor of 0.55, what will it,s dimensions be.

**Answer:**

95.7 cm by 126.5 cm

**Step-by-step explanation:**

To use the scale factor of 0.55, we multiply 174 and 230 by 0.55: 174*0.55 = 95.7, 230*0.55 = 126.5

Lesson Review

Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.

1. x2 + 6x - 7

2. x2 - 5x + 6

3. x2 - 6x - 7

4. x2 + 5x - 6

5. x2 + x - 12

6. x2 - 2x - 8

7. x2 - 4x - 5

8. x2 + 2x - 3

9. x2 - 16

10. x2 - x - 12

11. x2 -9x + 18

12. x2 -5x - 14

13. x2 - 7x + 10

14. x2 -11x + 24

15. x2 - x - 30

**Factorization **implies the obtaining of the **common factors** in an **expression**.

The term **factorization **implies the obtaining of the **common factors** in an **expression**.

The **factors **of the **expressions **are as follows;

1) (x−1)(x+7)

2) (x−2)(x−3)

3) (x+1)(x−7)

4) (x−1)(x+6)

5) (x−3)(x+4)

6) (x+2)(x−4)

7) (x+1)(x−5)

8) (x−1)(x+3)

9) (x+4)(x−4)

10) (x+3)(x−4)

11) (x−3)(x−6)

12) (x+2)(x−7)

13) (x−2)(x−5)

14) (x−3)(x−8)

15) (x+5)(x−6)

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Modules

Honorlock

An on-demand printing company has monthly overhead costs of $2,200 in rent, $380 in

electricity, S65 for phone service, and $240 for advertising and marketing. The printing

cost is $30 per thousand pages for paper and ink. The average cost for printing.x

thousand pages can be represented by the function

2,885 +30x

C(x)=

X

For a given month, if the printing company could print an unlimited number of pages,

what value would the average cost per thousand pages approach? What does this mean

in the context of the problem?

O The average cost would approach infinity. The more pages the company prints, the

higher the average cost.

o The average cost would approach $30 per thousand pages or

equivalently $0.03 per page. This is the cost per page in the absence

of fixed costs.

o The average cost would approach $2,885 per thousand pages. This is

the total of the fixed monthly costs.

o The average cost would approach $0 per thousand pages. The more

pages the company prints, the lower the average cost.

MacBook Pro

Time Running

Attempt due: Jul

29 Minutes, 42

**Answer:**

**Step-by-step explanation:**

**Comment**

The formula used to figure out the costs is

C(x) = 2885 + 30x

2885 is the total of the fixed costs -

Rent 2200Electricity 380Phone 65Marketing 240Total 2885Now the problem gets sort of complicated. If the company could print an unlimited amount of pages, the 2885 remains the same, no matter what.

But x gets larger and larger. and so C(x) gets larger and larger.

**Answer**

Therefore the average cost would approach infinity.

A

what is the general direction of centurion from bronkhorspruit?

**Answer:**

Brock or separate is located nearly Westside to centure in gives best direction from the central only

The function h(t) = −5t2 + 15t shown in the graph models the supporting structure of a bridge:

graph of parabola starting at zero comma zero, rising from the left to about one and one half comma 11, and falling to the right, ending at 3 comma zero

What is the domain of h(t)?

All real numbers

0 ≤ x ≤ 11

0 ≤ x ≤ 3

x ≥ 0

Since the function is **h(t) = −5t² + 15t, t**he **domain** of the ** function **h(t) is** 0 ≤ t ≤ 3**

The **domain** of a **function** is the range of input values that make the function have real values.

Now given the function** h(t) = −5t² + 15t**, it will have real values when

h(t) ≥ 0

So, h(t) ≥ 0

⇒ −5t² + 15t ≥ 0

Factorizing, we have

-5t(t - 3) ≥ 0

5t(t - 3) ≤ 0

t(t - 3) ≤ 0

t ≤ 0 and t - 3 ≤ 0

t ≤ 0 and t ≤ 3

For t ≤ 0, say -1, t(t - 3) = -1(-1 - 3) = -1(-4) = 4 ≥ 0

For 0 ≤ t ≤ 3, say 2, t(t - 3) = 2(2 - 3) = 2(-1) = -2 ≤ 0

For t ≥ 3, say 4, t(t - 3) = 4(4 - 3) = 4(1) = 4 ≥ 0

Since we require t(t - 3) ≤ 0, the** domain** of t is thus** 0 ≤ t ≤ 3**

So, the **domain** of the** function **h(t) is** 0 ≤ t ≤ 3**

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Asphalt roofing shingles are typically sold by the square, with a square covering 100 square feet. A contractor must shingle a roof that measures 65.5'x 35'. How many squares will be required to cover this roof?

Question content area bottom

Part 1

A 23

B 26

C 33

D 25

Answer is A. 23

Step by step

First find the square feet you will be shingling

65.5 x 35 = 2292.5 sq feet

Now divide by the 100 sq feet in a “square” of shingles

2292.5 / 100 = 22.92 squares of shingles

Round up to a full square = 23

Problem solved

Step by step

First find the square feet you will be shingling

65.5 x 35 = 2292.5 sq feet

Now divide by the 100 sq feet in a “square” of shingles

2292.5 / 100 = 22.92 squares of shingles

Round up to a full square = 23

Problem solved

what is the least common denominator of 1/2 5/6

**Answer:**

Multiples of 4:4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Multiples of 6:6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

Answer: The least common denominator of 1/4 and 1/6 is 12.

Prime factorisations of 8= 2 × 2 × 2.

Prime factorisations of 12= 2 × 2 × 3.

More items...

Hi**!** ⋇

**- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -**

To find the **least common denominator** of [tex]\sf{\frac{1}{2}}[/tex] and [tex]\sf{\frac{5}{6}}[/tex], we should first find the **least common multiple** of **2** and **6**, which is **6:**

Multiples of **2**: 2, 4, **6**, 8, 10, **12**, 14, 16... **∞**

** **Multiples of **6: 6, 12, 18, 24**... **∞**

(all** common multiples **are in** bold-face**; all **multiples** of **6** are in bold-face because all **multiples** of **6** are also multiples of **2**)

· In both sets, **6** is the** least common multiple**, and it's **also** the **least** **common** **denominator**.

Hope this made sense to you !!

**- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -**

Part of your job as manager is to count the cash for the daily bank deposit. When you count the cash, you have 47 ones, 22 fives, 9 tens and 17 twenties. You also have 67 pennies, 12 nickels, 9 dimes and 15 quarters. What is the total amount of the deposit?

**Answer:**

$592.92

**Step-by-step explanation:**

Bills:

47 ones = 47*1 = $47

22 fives = 22*5 = $110

9 tens = 9*10 = $90

17 twenties = 17*20 = $340

Total Bills: 47+110+90+340 = $587

Coins:

67 pennies = 67*1 = $0.67

12 nickels = 12*5 = $0.60

9 dimes = 9*10 = $0.90

15 quaters = 15*25 = $3.75

Total Coins: 0.67+0.6+0.9+3.75 = $5.92

Total: $587+$5.92 = $592.92

Ned and Sam are playing a game. Ned has -3 points. Sam has -8 points. How many more points does Ned have than Sam? Please provide an equation and an answer.

**Answer:**

5 points

**Step-by-step explanation:**

Subtracting their scores, we get (-3)-(-8)=5

Michelle asks her husband to build a pen for her chickens. Three of the sides will be built with mesh fencing, while the fourth side will back up to the east side of her house. She wants the enclosed area to be 400 square feet. The cost of the fence meshing will be $4.18 per foot and the pen will also need 4 corner posts costing $9.50 each. a. [6 pts] Let x be the length of the side of the chicken coop that backs up to the east side of the house. Write a function P(x), for the price of the materials for the pen in terms of x. Simplify your answer. b. [3 pts] Use your calculator to find the dimensions of the pen that costs the least. Set your window with: 0≤x≤80 and 10≤ y ≤400, and round your answer to 2 decimal places. (Insert your graph here. You may hand draw the graph or insert an image of the graph from Desmos) c. [1 pt] What is the total cost of the pen? Round to dollars and cents.

The **function** P(x), for the price of the materials for the pen is 4.18(800/x + x) + 38.

Based on the information, the **function** P(x), for the price of the **materials** for the pen will be:

P(x) = 4.18 (2 × 400/x + x) + 38

= 4.18(800/x + x) + 38.

The **dimensions** will be:

We'll differentiate the **function** which will give 20✓2. Therefore, the value for x will be 20✓2 which is 28.28 feet and that of y will be 10✓2 which is 14.14 feet.

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Find the interest on 16,100 for 4 years and 6months at 10% compounded quarterly.
presidents can use political appointments to send messages about their management style or expectations of government
Gene works in the uniform and apparel division of cintas. He has responsibility for managing the marketing activities for uniforms aimed at restaurants and dining facilities. Genes title is _______.a. product manager.b. market manager.c. area coordinator.d. brand manager.e. sales manager.
Match the vocabulary word with the correct definition.1. a line segment where two faces meet edge 2. a three-dimensional figure with one circular base dimensions 3. to separate something into its basic parts area 4. units used to measure the volume of a three-dimensional figure cube 5. a three-dimensional figure with two parallel, congruent, circular bases and a curved surface decompose 6. a three-dimensional figure made of six congruent squares composite figure 7. a geometric figure that is made up of two or more basic shapes base 8. the length of a plane figure; or, a special face of a solid figures cone 9. the measurement of the space inside a plane figure cylinder 10. measurements indicating the size and shape of an object, such as length and width cubic units
The ______________________ picks up whole and partial neurotransmitters from the synaptic gap and brings them into the terminal button, where other structures recycle these neurotransmitters for future use.
After information has been gathered to show that a research misconduct allegation may be of substance, the usual second phase of handling the allegation is called:
1 x/3 - 3/4 = 5/12solve for x!
A mixture contains NaHCO3together with unreactive components. A 1.68 g sample of the mixture reacts with HAto produce 0.561 g of CO2. The molar mass of NaHCO3is 84.01 g/moland the molar mass of CO2is 44.01 g/mol.What is the percent by mass of NaHCO3in the original mixture?
silverware, plate, service, and waiter. Later, when asked to recall the words, many participants accidentally included the word dinner, even though it was not on the list. This phenomena is referred to as:
Graph the quadratic function by transforming the graph of f(x) = x^2. Give the minimum or maximumvertex value and the equation for the axis of symmetry.
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Book review help reduce to potential readers on how they react to the content of the book
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PLEASE HURRY AND HELPWrite the empirical formula for at least four ionic compounds that could be formed from the following ions:Fe+, CHCO, Pb4+, MnO-4
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Many biologists debate how a virus should be classified. in 2008, scientists in france discovered that a virus was capable of infecting another virus. which theory might be supported by this information? a virus is living a virus is nonliving a virus uses sexual reproduction a virus makes its own proteins
From Andys house to Billys hometown you can travel by 3 roads. And to get from Billys hometown to Willies's house you can travel by 5 roads. How many possible wats are there to travel from andys house to willies house?From Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willies house (see previous problem). How many way are there now to get from Andys house to willies house?