The height of the desk for the doll according to conversion scale given is 1.5in.
Based on the information provided, the height of Katelyn’s actual desk is 3 feet. She wants to build a desk for her doll and she wants to use a scale of 0.5 in: 1feet to convert the measurements. A conversion scale refers to a scale which indicates the relationship between two different units of measurement.
According to the given conversion scale,
1 feet = 0.5in
If the height is 3 feet, the measurement in inches would be:
3 feet = 3 feet * 0.5 in/ 1 feet = 1.5 in
Learn more about Conversion scale:
https://brainly.com/question/15891755
#SPJ4
Is the relation in this graph a function?
A.The graph is not a function.
B.The graph is a function.
Answer: B, it is a function
Step-by-step explanation:
whats the answer to the math problem
Distance = 400h miles
I dont understand this question
-32=8m
Answer:
m= -4
Step-by-step explanation:
the question is asking you to make the variable 'm' by its self and find what it is equal to. you divide 8 by both sides. this gets 'm' alone and -32 divided by 8 is -4.
rearrange the formula p=2(l+b) to solve for b
Answer:
Step-by-step explanation:
2(l + b) = p
2l + 2b = p
2b = p - 2l
b = (p-2l)/2
A sample of bacteria taken from a river has an initial concentration of 2.1 million bacteria per milliliter and its concentration triples each week. (a) Find an exponential model that calculates the concentration after x weeks. (b) Estimate the concentration after 1.6 weeks. (a) B(x) = (Type an equation usingx as the variable.)
The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.
This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.
To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.
The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.
Learn more about equation here:
https://brainly.com/question/29538993
#SPJ11
f(x) = x³
f(x) = |x|
f(x)=√x
f(x) = ex
f(x) = 1/2
f(x) = ln(x)
Which of the above parent functions have at least one asymptote?
Answer:
\(f(x)=\ln x\)
Step-by-step explanation:
The graph has a vertical asymptote of \(x=0\).
suppose there is a 10% chance of raining, and there is a 2% chance that the midterm exam is cancelled. assume that these two events (raining and cancelling the exam) are independent. what is the probability that neither events happen? please select the best answer.
TLDR: 88%
The probability of neither event happening is the complement of the probability of either event happening, which is 100 - 12 = 88.
Cheers,
qxxi
Can someone please help me with math
Answer:
7 is B
8 is C
9 is D
Step-by-step explanation:
Hey There!
So as you can see in the first image the slope of a line that passes through the coordinates (-3,1) and (5,-7) is -1
As you can see in the second image the equation of the line that passes through the points (-2,5) and (3,15) is y=2x+9
The last one is D because the equation is a=2b-3
The statement that says a is equal to 3 LESS then TWICE B is correct cause its saying that 2b - 3 is equal to a
Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the bank will be applied to the negative balance of the credit account. The play cost $3,200.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket proceeds and deposit them with the bank. If 1,007 people attend the play's opening night, what will the balance of the bank account be?
Answer:
Hey there!
If 1007 people attend, they will make a profit of 10070 dollars.
The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.
Let me know if this helps :)
Answer:
Step-by-step explanation:
the correct answer is 6,870 it was d for me it might be different :)
-
Sam built a ramp to a loading dock. The ramp has a vertical support 2 m from the base of the loading dock and 3m from the base of the ramp. If the vertical support is 1.2 m in height, what is the height of the loading dock?
Answer:
tan angle = x/5.
Step-by-step explanation:
If I understand your description,
tan angle at bottom of ramp = 1.2/3.
Then tan angle = x/5.
Check my thinking.
WHAT IS 62729287937927497393884x0
I NEED HELP!!!!!!!!!
PLEASEEEEEE
Answer:your mom
Step-by-step explanation:
\(\huge \bf༆ Answer ༄\)
Any value multiplied by Zero gives Zero, therefore ~
\( \sf62729287937927497393884 \times 0 = 0\)Find the solution to the system of linear equations below.
x - y = 0
3x + 2y = 10

Answer:
the desired solution is (2, 2)
Step-by-step explanation:
Solve this using elimination by add'n/subtr'n.
Multiply the first equation by 2, obtaining the equivalent set of equations:
2x - 2y = 0
3x + 3y = 10
Combining like terms, we get 5x = 10, and thus x must be 2.
Subbing 2 for x in the first equation yields 2 - y = 0, or y = 2.
Then the desired solution is (2, 2).
Use the Integral Test to determine the convergence or divergence of the following series, or state that the conditions of the test are not satisfied and, therefore, the test does not apply. k+ 7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. dx converges to the series also converges. Since the integral 7 e an exact answer.) OB. Since the integral dx diverges, the series also diverges. x 7 C. The Integral Test does not apply.
Using the Integral Test, the correct choice is B. Since the integral ∫(k+7)dx diverges, the series also diverges.
We are supposed to use Integral Test to determine the convergence or divergence of the series, ∑(k+7)dx.
We can use the Integral Test to test for the convergence of series if the function in the series is continuous, positive, and decreasing for all x greater than or equal to some value N.
The Integral Test states that a series converges if and only if the integral of the series term is convergent, i.e. if the integral of u(x)dx is convergent. Also, if the integral of u(x)dx diverges, the series is divergent.
So we need to check whether the function in the given series is continuous, positive, and decreasing for all x greater than or equal to some value N.
If we integrate the series, ∑(k+7)dx, we get:∫(k+7)dx= ∫k
dx + ∫7dx= (k²/2) + 7x+ C
where C is the constant of integration.
Since the value of C is not given, we cannot say anything about the exact value of the integral.
However, the value of the constant of integration does not matter in this case as we only need to determine whether the integral converges or diverges.
Therefore, we can use the Integral Test to determine the convergence or divergence of the series.
Using the Integral Test, the correct choice is B.
Since the integral ∫(k+7)dx diverges, the series also diverges.
Know more about Integral Test here:
https://brainly.com/question/31381575
#SPJ11
The functions
=
shown in the graph.
f(2)= - x + 2 and
g(x) = (1)* + 1 are
- x + 2 = (*)* + 1
Ex+2
;
-3 -2 -1
1 2 3
What are the solutions to
3
=
-1
-2
Select each correct answer.
0-1
ОО
1
02
3
Answer:
0 and 1
Step-by-step explanation:
f(x) = g(x) at the point the touch each other.
Here they touch each other when x = 0 (touching the y axis) and x = 1
1. The following circle graph was published in the Cane County annual report. If there are 1,000 registered voters in Cane County how many are 35-45 years old?
A 150 voters
B 250 voters
C 300 voters
D 350 voters
Answer:
C
Step-by-step explanation:
trust
Suppose the random variable X follows a normal distribution with a mean 107 and a standard deviation 25. Calculate each of the following. a) The 85 th percentile of the distribution of X is: b) The 38 th percentile of the distribution of X is:
a. The 85th percentile of the distribution of X is approximately 132.01.
b. The 38th percentile of the distribution of X is approximately 99.3.
To solve this problem, we can use a standard normal distribution table or calculator and the formula for calculating z-scores.
a) We want to find the value of X that corresponds to the 85th percentile of the normal distribution. First, we need to find the z-score that corresponds to the 85th percentile:
z = invNorm(0.85) ≈ 1.04
where invNorm is the inverse normal cumulative distribution function.
Then, we can use the z-score formula to find the corresponding X-value:
X = μ + zσ
X = 107 + 1.04(25)
X ≈ 132.01
Therefore, the 85th percentile of the distribution of X is approximately 132.01.
b) We want to find the value of X that corresponds to the 38th percentile of the normal distribution. To do this, we first need to find the z-score that corresponds to the 38th percentile:
z = invNorm(0.38) ≈ -0.28
Again, using the z-score formula, we get:
X = μ + zσ
X = 107 - 0.28(25)
X ≈ 99.3
Therefore, the 38th percentile of the distribution of X is approximately 99.3.
Learn more about distribution from
https://brainly.com/question/23286309
#SPJ11
T
Radius:
4
inches
Diameter:
Circumference:
Answer:
diameter 8
and i think the circumference is 25.12
Step-by-step explanation:
4+4=8
3.14(8)
what is the LCM for 9, 18 and 72
Answer:
72
Step-by-step explanation:
9 = 3^2
18 = 2 * 3^2
72 = 2^3 * 3^2
For LCM use common and not common factors with greater exponent.
Use 2^3 and 3^2.
LCM = 2^3 * 3^2 = 8 * 9 = 72
Answer: 72
area of the circle
attachment below
Answer:
Area of the circle = 49 π cm² = 153.86cm²
Step-by-step explanation:
Given that the diameter of the circle
d = 14
The radius of the circle
\(r = \frac{d}{2} = \frac{14}{2} = 7\)
Area of the circle
A = πr²
A = 3.14 ×(7)²
A = 153.86 cm²
Which table of values corresponds to the graph below?
On a coordinate plane, a line goes through points (0, negative 2) and (2, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 2. Column 2 is labeled y with entries 0, 1, 2, 4.
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 4. Column 2 is labeled y with entries negative 2, negative 1, 2.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 1, 4. Column 2 is labeled y with entries 0, 2, negative 1, 2.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 2, 4. Column 2 is labeled y with entries 1, negative 2, 0, 2.
Answer: B i got it right
Step-by-step explanation:
What Is The Slope Of The Line Passing Through (-3, 5) and (5, -3)?
A. Slope = -1
B. Slope = 0
C. Slope = 1
D. No Slope
Answer:
Answer choice A. Slope -1
Step-by-step explanation:
If we plot the two points on a graph we can see that the points go from left to right, starting from a higher point to a lower point. This means the slope is negative. B and D are the same choice, but just in different words, and 0 cannot be positive or negative. and C is positive, not negative. So it is A. I hope this helps, and I hope it's not wrong, but I don't think it is.
Write the equation of a line in slope intercept form that has a slope of -3 and passes through the point (0,7)
Which additional piece of information would allow you to
prove that the triangles are congruent by the HL theorem?
The additional piece of information would allow you to prove that the triangles are congruent by the HL theorem is AB ≅ DE
What is HL theorem?The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Given that two triangles Δ ABC and Δ DEF,
To prove them congruent by HL Postulate, we need one more side to be congruent, as the hypotenuse of both are already congruent.
Therefore, the sides should be either BC ≅ FE or AB ≅ DE
In options, AB ≅ DE is given.
Hence, The additional piece of information would allow you to prove that the triangles are congruent by the HL theorem is AB ≅ DE
For more references on HL theorem, click;
https://brainly.com/question/3914939
#SPJ2
Anne is eating dinner at a restaurant. The price before tax is $57, and the sales tax is 8%. Anne wants to tip 22% for the meal. What is the total price Anne will pay for the dinner?
Answer:
$69.54
Step-by-step explanation:
Please I need help with this I will be very grateful and vote you the brainliest if your answer is right
Answer:
2, 11. I think so don't get mad at me
ABC company has just purchased a life truck that has a useful life of 5 years. The engineer estimates that maintenance costs for the truck during the first year will be $2,000. As the truck ages, maintenance costs are expected to increase at a rate of $300 per year over the remaining life. Assume that the maintenance costs occur at the end of each year. The firm wants to set up a maintenance account that earns 10% interest per year. All future maintenance expenses will be paid out of this account. How much does the firm have to deposit in the account now? $9,640.11
$11,500.00
$9,920.21
$9,127.02
The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.
Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.
The future maintenance costs for the truck can be calculated as shown below:
Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:
\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is
5.Substituting the given values in the above equation:
\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.
To know more about amount visit:
https://brainly.com/question/32453941
#SPJ11
Solve for x, where M is molar and s is seconds. x=(6.4×10
3
M
−2
s
−1
)(0.46M)
3
Enter the answer. Include units. Use the exponent key above the answer box to indicate any exponent on your units.
The solution for x is 621.5424 M \(s^{-1}\), with units of molar per second (M \(s^{-1}\)).
To solve for x in the equation x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3, we can simplify the expression and calculate the result. Let's break it down step by step: x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3
First, let's simplify (0.46M)^3: (0.46M)^3 = (0.46^3)(M^3) = 0.097336M^3
Now, substitute this back into the equation:
x = (6.4×10^3 M^(-2) s^(-1))(0.097336M^3)
Next, multiply the terms: x = 6.4×10^3 × 0.097336 M^(-2) s^(-1) M^3
When multiplying the terms with the same base, we add the exponents:
x = 6.4×10^3 × 0.097336 M^(-2 + 3) s^(-1)
Simplifying the exponent: x = 6.4×10^3 × 0.097336 M^(1) s^(-1)
Now, multiply the numerical values: x = 621.5424 M s^(-1)
Therefore, the solution for x is 621.5424 M s^(-1), with units of molar per second (M s^(-1)).
Learn more about equation here :
https://brainly.com/question/29657983
#SPJ11
Write the following using algebraic notation, using the letter x for any unknown number: i think of a number,add two then multiply by three
Answer:
3(x + 2)
Step-by-step explanation:
i think of a number: x
add two: x + 2
then multiply by three: 3(x + 2)
Answer:
(x+2)3
Step-by-step explanation:
x is the number we thought of
so add the 2+the number we thought of which is;
x+2, then multiply by 3;
=(x+2)3
to calculate mad and summing up the forecasts errors, the value used for ||18−20|| in the calculation is? multiple choice question. either 2 or -2 2 -2 cannot be computed
The sum of forecast errors is also known as total forecast error. Therefore, the correct answer is option A, which is "2."
The absolute error of the given data is calculated by subtracting the actual value from the forecasted value, followed by the absolute value.
The errors are then summed up to get the mean absolute deviation. The value used for ||18−20|| in the calculation of MAD and summing up the forecast errors is 2.
Therefore, the correct answer is option A, which is "2."Formula for calculating MAD:MAD = Σ ( | A_i - F_i | ) / n
Where: MAD is the mean absolute deviation|A_i - F_i| represents the absolute error between the actual value (A) and the forecasted value (F)n is the total number of observations, Sum of forecast errors:Σ ( A_i - F_i )Where: A_i is the actual valueF_i is the forecasted value
The sum of forecast errors is also known as total forecast error.
Learn more about absolute deviation here:
https://brainly.com/question/32547820
#SPJ11
1.1 how to calculate ration between hour hand and minute hand in
a clock
1.2 how to calculate a ratio between a minute hand and second
hand in a clock
1.3 how to calculate a ratio between a hour hand
The ratio between the hour hand and the second hand in a clock is 1:120.
1.1 A clock's ratio between the hour and minute hands can be calculated by looking at how both hands move over a certain amount of time.
In a 12-hour simple clock, the hour hand finishes a full upset (360 degrees) in 12 hours, while the moment hand finishes a full upheaval in an hour. We must compare the angular displacement covered by each hand over the same time period in order to calculate the ratio between the hour and minute hands.
Let's say that after "t" minutes, we want to figure out the ratio.
In 12 hours, the hour hand rotates 360 degrees, or 720 minutes (12 hours x 60 minutes/hour). The hour hand's angular displacement after "t" minutes can therefore be calculated as follows:
Hour hand angular displacement = (360 degrees divided by 720 minutes) x t In a similar fashion, the minute hand rotates 360 degrees every 60 minutes. As a result, the following formula can be used to determine the minute hand's angular displacement after "t" minutes:
Minute hand angular displacement = (360 degrees divided by 60 minutes) x t To determine the ratio, divide the hour hand's angular displacement by the minute hand's angular displacement:
The final formula is: Ratio = (Angular displacement of hour hand) / (Angular displacement of minute hand). By incorporating the respective equations,
The hour hand in a clock is 1:1 because the ratio is equal to ((360 degrees / 720 minutes) x t) / (360 degrees / 60 minutes) x t) = (360 / 720) / (360 / 60) = 1/2.
1.2 A clock's minute hand and second hand's ratio can be determined by taking into account how they move over a given amount of time.
Explanation:
In a clock, the second-hand goes through a full revolution in 60 seconds, while the minute hand goes through a full revolution (360 degrees) in 60 minutes. We must compare their angular displacements over the same time period in order to calculate the ratio between the minute and second hands.
Let's say that after "t" seconds, we want to figure out the ratio.
60 minutes divided by 60 seconds per minute sees the minute hand rotate 360 degrees or 3600 seconds. Therefore, the following formula can be used to determine the minute hand's angular displacement after "t" seconds:
The second hand rotates 360 degrees in 60 seconds, so the minute hand's angular displacement is equal to (360 degrees divided by 3600 seconds) x t. As a result, the following formula can be used to determine the second hand's angular displacement after "t" seconds:
Second hand angular displacement = (360 degrees divided by 60 seconds) x t To determine the ratio, divide the second hand angular displacement by the minute hand:
The final formula is: Ratio = (Angular displacement of minute hand) / (Angular displacement of second hand). By incorporating the respective equations,
((360 degrees / 3600 seconds) x t) / ((360 degrees / 60 seconds) x t) = (360 / 3600) / (360 / 60) = 1/10; consequently, the clock's minute hand to second hand ratio is 1:10.
1.3 A clock's hour hand and second hand's ratio can be determined by taking into account how they move over a given amount of time.
Explanation:
In a clock, the hour hand completes a 360-degree revolution in 12 hours, while the second hand takes 60 seconds to do the same. We must compare their angular displacements over the same time period in order to calculate the ratio between the hour hand and the second hand.
Let's say that after "t" seconds, we want to figure out the ratio.
In 12 hours, the hour hand rotates 360 degrees, or 43,200 seconds (12 hours x 60 minutes/hour x 60 seconds/minute). As a result, the hour hand's angular displacement after "t" seconds can be calculated as follows:
The hour hand's angular displacement is equal to (360 degrees divided by 43,200 seconds) x t. The second hand also rotates 360 degrees in 60 seconds. As a result, the following formula can be used to determine the second hand's angular displacement after "t" seconds:
Second hand angular displacement = (360 degrees divided by 60 seconds) x t To determine the ratio, divide the hour hand's angular displacement by the second hand's angular displacement:
The final formula is: Ratio = (Angular displacement of hour hand) / (Angular displacement of second hand). By incorporating the respective equations,
The hour hand in a clock is 1:120 because the ratio is equal to ((360 degrees / 43,200 seconds) x t) / (360 degrees / 60 seconds) x t) = (360 / 43,200) / (360 / 60) = 1/120.
To know more about Ratio, visit
brainly.com/question/12024093
#SPJ11