A brand of pen claims that it lasts twice as long as a normal pen. Janemeasures how long the pen lasts and puts that information in a chart. What isJane recording?A. ClaimsB. DataO C. ExplanationD. Hypothesis

Answers

Answer 1

Since the information is recorded in a chart, Then jane is recording a data.


Related Questions

Write an inequality X is less than or equal to 4

Answers

The inequality for X is less than or equal to 4

[tex]x\leq4[/tex]

(A) Find the marginal cost at a production level of a golf clubs.C'(x) =(B) Find the marginal cost of producing 55 golf clubs.Marginal cost for 55 clubs =

Answers

ANSWER

The marginal cost for producing 55 golf clubs is $31

STEP-BY-STEP EXPLANATION:

Given information

[tex]The\text{ total cost }in\text{ dollars = }550\text{ + 130x - }0.9x^2[/tex]

The next step is to find the marginal cost

The formula for finding marginal cost is given below as

[tex]MC\text{ = }\frac{\text{ }\Delta C}{\text{ }\Delta x}[/tex]

To find the marginal cost, we need to differentiate the total cost with respect to x

[tex]\begin{gathered} MC\text{ = }\frac{\text{ }\Delta C}{\text{ }\Delta x}\text{ = C'(x)} \\ C^{\prime}(x)\text{ = 0 + 1 }\times130x^{1\text{ - 1}}-2(0.9)x^{2\text{ -1}} \\ C^{\prime}(x)\text{ = 0 + 130 - 1.8x} \end{gathered}[/tex]

Therefore, the marginal cost is

[tex]C^{\prime}(x)\text{ = 130 - 1.8x}[/tex]

Part b

Find the marginal cost of producing 55 golf clubs

Let x = 55

The next step is to substitute the value of x = 55 into the above marginal cost formula

[tex]\begin{gathered} C^{\prime}(x)\text{ = 130 - 1.8x} \\ C^{\prime}(55)\text{ = 130 - 1.8(55)} \\ C^{\prime}(55)\text{ = 1}30\text{ - 99} \\ C^{\prime}(55)\text{ = \$31} \end{gathered}[/tex]

Therefore, the marginal cost for producing 55 golf clubs is $31

Austen earned some money doing odd jobs last summer and put it in a savings account that earns 6%interest compounded quarterly after 8 years there is 100.00 in the account how much did Austen earn doing odd jobs

Answers

[tex]FV=P(1+\frac{r}{n})^{nt}[/tex]

Where:

[tex]\begin{gathered} P=\text{ Principal} \\ FV=\text{ Future value}=10000 \\ r=\text{ Interest rate}=0.06 \\ n=\text{ Compounding periods per year}=4 \\ t=\text{time}=8 \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} 10000=P(1+\frac{0.06}{4})^{32} \\ 10000=P(1.61032432) \\ \text{Solve for P:} \\ P=\frac{10000}{1.61032432} \\ P=6029.93 \end{gathered}[/tex]

Answer:

$6029.93

Find two positive numbers whose difference is 29 and whose product is 2340.

Answers

ANSWER:

The numbers are 65 and 36

STEP-BY-STEP EXPLANATION:

From the statement we can propose the following system of equations:

[tex]\begin{gathered} x-y=29\rightarrow x=29+y\text{ (1)} \\ x\cdot y=2340\text{ (2)} \end{gathered}[/tex]

We replace equation (1) in equation (2), and solve for y, like this:

[tex]\begin{gathered} (29+y)\cdot y=2340 \\ y^2+29y=2340 \\ y^2+29y-2340=0 \\ (y-36)\cdot(y+65)=0 \\ y-36=0\rightarrow y=36 \\ y+65=0\rightarrow y=-65 \end{gathered}[/tex]

Since it must be a positive number, one of the two numbers is 36. And the other would be:

[tex]\begin{gathered} x=29+36 \\ x=65 \end{gathered}[/tex]

An employee plays $300 towards health insurance, while the employer pays $575. What is the ratioof the employers contribution to the employees contribution?

Answers

Employee pays toward health insurance is E= $300.

Employer pays toward health insurance is E' = $575.

Determine the ratio of employers contribution and employee contribution.

[tex]\begin{gathered} \frac{E^{\prime}}{E}=\frac{575}{300} \\ =\frac{115}{60} \\ =\frac{23}{12} \end{gathered}[/tex]

So ratio of employers contribution to the employees contribution is 23:12.

Answer: 23:12

The volume of a cone is 3.7x³ cubic units and its height is x units. Which expression represents the radius of the cone's base, in units?

Answers

Given:

The volume of a cone is 3.7x³ cubic units

The height

1. Data from the American College Board show that in 2013, the average cost of tuition at private four- years colleges was $31,000. Since 2013, this number increased on average by about 3.7% each year.1) Let C denote the average cost of tuition at private four-year colleges, in dollars, and let t denotethe time in years since 2013. Write an exponential model that represents the average cost oftuition since the year 2013.2) if the trend continues, what is the average cost of tuition in 2020? Round decimal to two places.

Answers

Exponential growth formula

[tex]f(t)=a(1+r)^t[/tex]

where:

• a: initial amount

,

• r: growth rate, as a decimal

,

• t: time

1) In this case, the function is denoted by variable C(t), t indicates the time in years since 2013, the initial amount is a = 31,000, and the growth rate is r = 0.037 (= 3.7/100). Substituting these values into the formula, we get:

[tex]\begin{gathered} C(t)=31000(1+0.037)^t \\ C(t)=31000(1.037)^t \end{gathered}[/tex]

2) In 2020, 7 years have passed since 2013, then t = 7. Substituting into the formula:

[tex]\begin{gathered} C(t)=31000(1.037)^7 \\ C(t)=39977.26 \end{gathered}[/tex]

factor each of the following by factoring out the GCF [tex]2x {}^{7} - 10x {}^{5} + 20x {}^{4} [/tex][tex]6x {}^{8} + 12x {}^{10} [/tex][tex]32x {}^{7} + 24x {}^{4} - 8x {}^{3} [/tex]MORE NOTES FOR QUESTION 2[tex]6y - 24 \\ answer = (y - 4)[/tex][tex]3a + 12 \\ anwser = 3(a + 4)[/tex]

Answers

[tex]4x^3-12x^2+8x=4x\cdot x^2-4x\cdot3x+4x\cdot2=4x(x^2-3x+2)[/tex]

For the second one

[tex]50y^6-25y^7=25y^6\cdot2-25y^6\cdot y=25y^6(2-y)[/tex]

for the third one

[tex]32x^7+24x^5-8x^3=8x^3\cdot4x^4-8x^3\cdot3x^2-8x^3\cdot1=8x^3(4x^4+3x^2-1)[/tex]

The greatest common factor for the first one is 4x

for the second one is 25y^6

and for the third one is 8x^3

A dog weighs 48 pounds and the veterinarian thinks it needs to lose 3 pounds

Answers

Given

The weight ofhdog is48 podsnds The eveteinrian ithins hwhe dog needs to lose 3puouds.

Mikalawrotetheeq equation

[tex]x+3=48[/tex]

Kirk wrote the equation

[tex]48-x=3[/tex]

Explanation

From the given statement , both te equations agiven by Mikala and Kirk is correct.

We can also writteA another equation.

[tex]x=48-3[/tex]Answer

Hnce tthe correct obtion isoA.

Bo he options are corrct,.

The another equation is

48-3 =x

Answer:

Both equations are correct

Step-by-step explanation:

Writing equations

48 - x = 3

x would be the new weight of the dog

x+3 = 48

x would be the new weight of the dog

Both equations are correct

Choose all of the conversions that are true Units of Length 1 ft= 12in1 yd= 3ft1mi= 5,280ftA. 24ft= 2 inB.2mi= 10,560ftC. 1/2 mi= 2,640D. 0.5mi= 880 ydE. 0.5 ft = 3 in

Answers

Answers:

B. 2mi= 10,560ft

C. 1/2 mi= 2,640 ft

D. 0.5mi= 880 yd

Explanation:

To know if the conversions are true, we need to convert for each answer option.

So, for A, we get that 24 ft are equivalent to:

[tex]24\text{ ft }\times\frac{12\text{ in}}{1\text{ ft}}=288\text{ in}[/tex]

Then, option A is an incorrect conversion.

For B, we get that 2 miles are equivalent to:

[tex]2\text{ mi }\times\frac{5280\text{ ft}}{1\text{ mi}}=10560\text{ ft}[/tex]

Therefore, option B is a correct conversion

For C, 1/2 miles are equal to:

[tex]\frac{1}{2}mi\times\frac{5280\text{ ft}}{1\text{ mi}}=2640\text{ ft}[/tex]

Option C is a correct conversion

For D, The number of yards equivalent to 05 miles is:

[tex]0.5\text{ mi }\times\frac{5280\text{ ft}}{1\text{ mi}}\times\frac{1\text{ yd}}{3\text{ ft}}=880\text{ yd}[/tex]

Option D is a correct conversion

For E, 0.5 ft is equal to:

[tex]0.5\text{ ft }\times\frac{12\text{ in}}{1\text{ ft}}=6in[/tex]

Then, option E is an incorrect conversion.

So, the answers are:

B. 2mi= 10,560ft

C. 1/2 mi= 2,640 ft

D. 0.5mi= 880 yd

Need help with this question is as a symbolic equation

Answers

Given:

Johny picks apples on an orchard.

He gets paid $20 plus $1.50 per bushel.

Let, x denote number of bushel.

The total cost is written as,

[tex]C(x)=20+1.50x[/tex]

Answer:

[tex]C(x)=20+1.50x[/tex]

The right rectangular prism shown below is made of equal-sized cubes. The side lengthof each cube is of an inch.What is the volume, in cubic inches, of the right rectangular prism?A :10B :2 1/2 C:5/8 D:7/16

Answers

The Volume of a cube is computed as follows:

V = side³

Each side is 1/4 in, then the volume is:

V = (1/4)³ = 1/64 in³

The prism is 5 cubes long, 4 cubes high and 2 cubes wide, then the number of cubes in the prism is:

5*4*2 = 40 cubes

Finally, the volume of the prism is 40*1/64 = 40/64 = 5/8 in³

Express the following probability as a simplified fraction and as a decimal.
If one person is selected
from the population
described in the table,
find the probability that
the person is male or is
married.

Answers

The probability that the person is male or is married (in fraction) = [tex]\frac{1}{4}[/tex].

The probability that the person is male or is married (in decimal) = 0.25

Calculation

The probability that the person is male or is married

= married man/ total number of members

=60/240 = 1/4(in fraction)

The probability that the person is male or is married

= married man/ total number of members

=60/240 = 0.25( in decimal)

What is probability?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.

To learn more about probability, refer to https://brainly.com/question/25870256

#SPJ1

Please help me i tried amd got two different answers

Answers

Step-by-step explanation:

[tex]undefined[/tex]

-2x^2-2x+4

What can this factor out to?

Answers

Step-by-step explanation:

[tex]{ \red{ \tt { - 2x}^{2} - 2x + 4}} [/tex]

[tex]{ \red{ \tt{ { - 2x}^{2} -4x + 2x + 4}}}[/tex]

[tex]{ \red{ \tt{ - 2x(x + 2) + 2(x + 2)}}}[/tex]

[tex]{ \red{ \tt{( - 2x + 2)}}} \: \: \: || \: \: \: { \red{ \tt{(x + 2)}}}[/tex]

Lesson 1-3 Decimals 2. What is the total cost, rounded to the nearest penny, of 3.5 pounds of corn at $0.35 per pound and 1.5 pounds of tomatoes at $0.74 per pound? Explain:

Answers

Answer

Total cost = $2.34

Explanation

We are told to find the total cost of these items to the nearest penny (that is, the nearest 0.01 dollar)

The items include

- 3.5 pounds of corn at $0.35 per pound

If 1 pound = $0.35

3.5 pounds = 3.5 × $0.35 = $1.225

- 1.5 pounds of tomatoes at $0.74 per pound

If 1 pound = $0.74

1.5 pounds = 1.5 × $0.74 = $1.11

The total cost = $1.225 + $1.11 = $2.335 = $2.34 to the nearest penny.

Hope this Helps!!!

Karrie drew a design for a window transom with arc measures as shown.What is m2 BFC?60°с120°90°90°30°60°45°FE

Answers

As we can see, the angle mBFC is an Inscribed Angle. It is known that the inscribed angle is half the intercepted arc. In this case:

[tex]\angle BFC=\frac{1}{2}arcBC[/tex]

The arcBC measure is given: 60°, so:

[tex]\angle BFC=\frac{1}{2}60\degree=30\degree[/tex]

Which inequality represent the following statement a number increase by 4 is at most 15

Answers

a number increase by 4 is at most 15:

n + 4 ≤ 15

--------------------------------------

V = IR

Solving for I:

Divide both sides by R:

V/R = IR/R

V/R = I

Complete the statement below to explain how this model shows that 1/2 ÷ 2/3 = 3/4.

Answers

Given a model in which some boxes are given.

Here, 1/2 is represented by 3 boxes and 2/3 is represented by 4 boxes. Thus, the model represents that 3/4 of 2/3 bar is equal to 1/2.

So, the mathematical representation of the model is:

[tex]\frac{1}{2}=\frac{3}{4}\times\frac{2}{3}[/tex]

If we divide both the sides by 2/3, we get:

[tex]\begin{gathered} \frac{1}{2}\div\frac{2}{3}=\frac{3}{4}\times\frac{2}{3}\div\frac{2}{3} \\ \frac{1}{2}\div\frac{2}{3}=\frac{3}{4} \end{gathered}[/tex]

The side opposite the right-angle measures 4 in. What is the measurement of the side opposite the 30 degree angle? Draw and label the triangle before solving.

Answers

Answer:

2 inches.

Explanation:

In a right triangle:

• The side opposite the right angle = 4 inches

,

• Let the side opposite the 30 degrees angle = x.

Note that the side opposite the right angle is always the hypotenuse.

The diagram is drawn and attached below:

Next, we solve for x.

From trigonometrical ratios:

[tex]\begin{gathered} \sin \theta=\frac{\text{Opposite side length to }\theta}{\text{Length of the Hypotenuse}} \\ \implies\sin 30\degree=\frac{x}{4} \end{gathered}[/tex]

Cross multiply.

[tex]\begin{gathered} x=4\times\sin 30\degree \\ x=4\times0.5 \\ x=2\text{ inches} \end{gathered}[/tex]

The measurement of the side opposite the 30-degree angle is 2 inches.

choose the correct correspondence ( i need help finding the correct answer)

Answers

The question is what is the correspondence of B

In this case the correspondece of B is R

What an I do to get help to explain and get the answer for this

Answers

Using pythagoras theorem

[tex]\begin{gathered} Hyp^2\text{ = opp}^2+adj^2 \\ x^2\text{ = (2}\sqrt[]{6)^2}+5^2 \\ x^2\text{ = 4(6) + 25} \\ x^2=24^{}+25 \\ x^2\text{ = 49} \\ x\text{ = }\sqrt[]{49} \\ x\text{ = 7} \end{gathered}[/tex]

Hence the length of the third side = 7

Write a recursive formula for the sequence 7, 13, 19, 25, 31… then find the next term.

Answers

Given:

Sequence 7, 13,19, 25, 31........

Find-:

The next term

Explanation-:

First-term = 7

Let

[tex]a_n=a_{n-1}+6[/tex]

Because sequence value increases the net term should be added.

So,

[tex]\begin{gathered} a_n=a_{n-1}+6 \\ \\ a_2=a_{2-1}+6 \\ \\ a_2=a_1+6 \\ \\ a_2=7+6 \\ \\ a_2=13 \end{gathered}[/tex]

For the next value n is 6.

So,

[tex]\begin{gathered} a_n=a_{n-1}+6 \\ \\ a_6=a_{6-1}+6 \\ \\ a_6=a_5+6 \\ \\ a_6=31+6 \\ \\ a_6=37 \end{gathered}[/tex]

So,

[tex]a_n=a_{n-1}+6,\text{ where}a_1=7;37[/tex]

Find the Lateral Surface Area of the triangular prism.The height 8.3 is not in the question but can you work one without 8.3Question 5 options:420 cm2462 cm2581 cm2503 cm2

Answers

Explanation:

Lateral Surface Area of the triangular prism = (perimeter × height) + 2(area of base)

Since it is anequilateral triangle, all 3 sides of the triangle are equal

Perimeter = 10cm + 10cm + 10cm = 30 cm

area of base = area of triangle

[tex]\text{Area of equilateral triangle = s}^2\times\frac{\sqrt[]{3}}{4}[/tex]

Area of equilateral triangle = side² × (√3)/4

side = 10cm

Area of equilateral triangle = 10² × (√3)/4 = 100/4 × √3 = 25√3

height = 14cm

Lateral Surface Area of the triangular prism = (30 cm × 14cm) +2(25√3)

Lateral Surface Area of the triangular prism = 420 + 50√3 = 420 + 86.6

Lateral Surface Area of the triangular prism = 506.6cm²

The area of triangle used = 1/2 bh = 1/2(10cm)(8.3cm) = 83cm²

The Lateral Surface Area of the triangular prism = 420 + 83 = 503 cm² (4th option)

She says that the coffee cup fountain actually holds about 200 gallons ofcoffee.The newscaster claims that if the coffee fountain really broke, the 200gallons of coffee would cover the equivalent of half a city block.You look up some information.• One gallon of water covers about 13.8 square feet.• Near the mall, an average city block is about 300 feet by 300feet.Assume the fountain holds 200 gallons of coffee. Using the informationgiven, determine whether the newscaster's claim is correct.• Construct an argument that supports or refutes thenewscaster's claim.• Include mathematics to support your argument.

Answers

The averageA fountain holds 200 gallons

A gallon covers 13.8 sq ft.

Therefore, 200gallons is expected to cover about 200 x 13.8 = 2760 sq ft

Average city block is 300 ft by 300 ft.

Therefore, area of city block = 300 x 300 = 90,000 sq ft.

Half the area of the city block will be 90,000 / 2 = 45,000sq ft

However, the reporter claims that a volume would be able to cover 45,000 ft.

This assertion is false.

4+x=20 this is my Question

Answers

[tex]\begin{gathered} 4+x=20 \\ 4+x-4=20-4 \\ x=16 \end{gathered}[/tex]

the cereal box contains a total of 250 Flags she's eating 500 flake so far what percent of flights are left in the Box

Answers

ok

250 ------------------------ 100%

50 ------------------------- x

x = (50 x 100) / 250

x = 5000/250

x = 20%

Percent left on the box = 100% - 20%

= 80%

Question 5 Let x be the first factor in an expression in scientific notation. Which describes this facto Ol

Answers

The correct answer is

[tex]\text{ 1 }\leq\text{ x < 10}[/tex]

vw is the perpendicular bisector of pq find the value of x and the length of wq

Answers

From the problem, WV is a perpendicular bisector so PW and WQ are congruent to each other.

The equation will be :

[tex]\begin{gathered} PW=WQ \\ 3x-8=2x+4 \\ 3x-2x=4+8 \\ x=12 \end{gathered}[/tex]

The value of x is x = 12

Substitute x = 12 to WQ :

[tex]\begin{gathered} WQ=2x+4 \\ WQ=2(12)+4 \\ WQ=24+4 \\ WQ=28 \end{gathered}[/tex]

The length of WQ is 28

The following number line represents the length of a 10 0 m race track, in which Maria is going to participate as a runner, and a reference distance of 87.5 m is given at a point on the track. 1-What distance did she travel? 2-i How did you get the answer?

Answers

A race track is divided in many sections

Is divided in 8 sections

This means every section corresponds to

100/8 = 12.5 meters

Part 1

María has travelled 5 sections, then she travelled

5x 12.5 = 62.25

Part 2

How did you get this answer.? Because she is ubicated exactly at end of segment 5.

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