A certain rectangular tarp covers 200 square meters. Its width is 20
meters. How long is the tarp?
Answer:
10 meters
Step-by-step explanation:
You want the length of a 200 square meter tarp that has a width of 20 meters.
AreaThe area of a rectangle is given by ...
A = LW
ApplicationFilling in known values, we have ...
200 m² = L · (20 m)
L = (200 m²)/(20 m) = 10 m . . . . . . . divide by the coefficient of L
The tarp is 10 meters long.
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A real estate agent received 5.7% commission for a house that sold for $250,000. How much was the agent's commission?
Answer:
$14,250
Step-by-step explanation:
250,000 * .057 = 14,250
solve for the missing angles
m∠ 2 = 97° m∠ 6 = 83°
Answer: ∠1 and ∠5∠2 and ∠6∠3 and ∠7∠4 and ∠8
Step-by-step explanation:
∠3 and ∠6∠4 and ∠5
The missing angles m∠ 3 is 97°, m∠10 is 97°,m∠9 is 83 degrees, m∠5 is 97 degrees, m∠7 is 83 degrees and m∠16 is 97 degrees.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
The given angles m∠ 2 = 97° and m∠ 6 = 83°.
We have to find the other angles.
m∠ 3 is equal to m∠ 2
m∠ 3 is 97°
m∠10 is corresponding angle to m∠ 2
m∠10 is 97°
Now m∠9 + m∠10 = 180
m∠9 + 97 =180
m∠9 = 180-97
m∠9 is 83 degrees.
As m∠6 is 83 degrees.
m∠6+m∠5 = 180
83+m∠5=180
m∠5 is 97 degrees.
m∠7 is 83 degrees.
m∠16 is 97 degrees.
Hence, the missing angles m∠ 3 is 97°, m∠10 is 97°,m∠9 is 83 degrees, m∠5 is 97 degrees, m∠7 is 83 degrees and m∠16 is 97 degrees.
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 Jamila earns $14,$11,$20,$15,$20 from babysitting 7 times. Find the interquartile range or IQR
Answer:
I have not done this math in a while but I think it is -8
Step-by-step explanation:
Select each expression that is equivalent to 4(x + 8)
4x + 32
4x + 8
2x + 4 + 2x + 4
4x + 8(4)
2(2x + 16)
Answer:
4(x + 8) is equivalent to 4x + 32, 4x + 8(4),
2(2x + 16)
Step-by-step explanation:
4(x + 8)
4 × x + 4 × 8
4x + 32
Thus, 4(x + 8) is equivalent to 4x + 32, 4x + 8(4),
2(2x + 16)
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Write the sentence in symbolic form. Represent each component of the sentence with the letter indicated in parentheses.
If it is a dog (d), it has fleas (f).
d ∨ fd → f f ↔ dd ∧ f~f
State whether the sentence is a conjunction, a disjunction, a negation, a conditional, or a biconditional.
conjunction disjunction negation conditional biconditional
The sentence "If it is a dog (d), it has fleas (f)" can be represented in symbolic form as d → f.
In symbolic logic, we represent the components of a sentence using letters or symbols. In this case, the given sentence has two components: "it is a dog" and "it has fleas." To represent these components, we assign the letter 'd' to "it is a dog" and the letter 'f' to "it has fleas."
The sentence "If it is a dog, it has fleas" implies a conditional relationship between the two components. It states that if something is a dog (d), then it has fleas (f). This can be symbolically represented as d → f, where the arrow (→) denotes the conditional relationship.
The given sentence, "If it is a dog (d), it has fleas (f)," can be represented in symbolic form as d → f. The arrow (→) in symbolic logic represents the conditional relationship. It indicates that if something is a dog (d), then it has fleas (f). In this symbolic representation, 'd' stands for "it is a dog," and 'f' represents "it has fleas."
The sentence is a conditional statement because it presents a hypothetical relationship between the two components. The truth value of the sentence depends on whether the antecedent (d) is true or false. If something is indeed a dog, then it implies that it has fleas. However, if it is not a dog, the statement does not make any specific claim about fleas.
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write a quadratic function F whose zeros are 12 and 1
Answer:
\(f(x) = (x-12)(x-1)\)
Step-by-step explanation:
So when you have a quadratic equation it can usually be expressed as: \(a(x-b)(x-c)\) where b and x are the roots of the equation. Since it's just asking for a function whose zeroes are 12 and 1, I'm assuming it doesn't care about the stretch/compression (value of a determines that), so I'll just assume a=1. if 12 and 1 are zeroes, that means it makes one of the factors equal to 0 because is x-b = 0 then no matter the value of x-c the value of y is 0 because 0 * (x-c) will be 0. So the equation becomes \(f(x) = (x-12)(x-1)\) plugging in 12 or 1 as x will make one of the factors 0 thus making f(x) equal to 0
what is the domain and range of the following relation? domain: all real numbers; range: all real numbers. domain: x ≤ 0; range: all real numbers. domain: x ≤ 0; range: y ≤ 0. domain: all real numbers; range: y ≤ 0.
According to the given statement , the domain and range of a relation describe the possible inputs and outputs, respectively.
In the first relation, the domain is all real numbers and the range is also all real numbers.
In the second relation, the domain is x ≤ 0, which means x is less than or equal to 0. The range is all real numbers.
In the third relation, the domain is x ≤ 0 and the range is y ≤ 0.
In the fourth relation, the domain is all real numbers and the range is y ≤ 0.
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Use the information below to answer questions 5 - 10. A company is considering introducing two new products. Based on sampling results, the company is expecting a probability of success for Product A of 60% and a probability of success for Product B of 80%. The success of Product A is independent of Product B's success. What is the probability that both Product A and Product B will be successful
The probability that both Product A and Product B will be successful is 0.48 or 48%.
To calculate the probability that both Product A and Product B will be successful, we need to multiply the individual probabilities of success for each product, since their success is independent of each other.
Step 1: Identify the probability of success for Product A and Product B.
- Product A: 60% (0.6)
- Product B: 80% (0.8)
Step 2: Multiply the probabilities of success for both products.
- Probability of both being successful = (Probability of Product A success) × (Probability of Product B success)
- Probability of both being successful = (0.6) × (0.8)
P(A and B) = P(A) x P(B)
P(A) = 0.6 (given in the information)
P(B) = 0.8 (given in the information)
P(A and B) = 0.6 x 0.8 = 0.48
Step 3: Calculate the result.
- Probability of both being successful = 0.48
Therefore, the probability that both Product A and Product B will be successful is 48%.
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will give brainliest!!
If trapezoid Q’U’A’D’ is diluted by the factor of 3/4 with respect to the origin to create trapezoid Q”U”A”D” what are the coordinates of A”?
A. (2,-4)
B.(-2,4)
C. [3/2, -3]
D. [-3/2,3]
find three vectors with which you can demonstrate that the vector cross product need not be associative, i.e., that a x (b x c) need not be the same as (a x b) x c. g
The cross product of three vectors is not associative in nature.
Considering three vectors such as : A=(2,1,3), B=(1,0,2) and C=(1,1,0)
we know that the associative law depicts that :
A x (B x C) = (A x B) x C ,while doing the operation for the considered vectors :
A x (B x C) =(2,1,3)x ((1,0,2)x (1,1,0))
=(2,1,3)x (-2,2,1)
=(-5,-8,6)
(A x B) x C= ((2,1,3)x (1,0,2))x (1,1,0)
= (2,-1,1) x (1,1,0)
=(-1,1,3)
So for this vector operation, A x (B x C) is not equal to (A x B) x C, so you can sum up that cross product of three vectors can't be associative every possible time.
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Level 7 escape room 3
Answer:
A B E F
Step-by-step explanation:
-2 * -5 = 10
10 * 3 = 30
30 * -7 = -210
True or False? A circle could be circumscribed about the quadrilateral below.
Answer:
false
Step-by-step explanation:
Because the length of the sides are not the same
Which of these is not part of an algebraic equation?
A
an inequality sign
B
an expression
C
an equal sign
D
a variable
Answer:
A-an inequality sign
Step-by-step explanation:
inequality sign: greater then, less than, equal to.
expression: 2x + 3 no equal sign
equal sign: =
Variable: a letter in the equation such as n x 6=?
Hope this is correct.
Maya’s watch shows a time of 1:30pm. At. 5:30pm, her watch shows the time as
5:42pm. How many minutes did her watch gain every hour after 1:30pm?
Answer:
3 min/hr gain from 1:30 p.m. to 5:30 (nominal)
Step-by-step explanation:
Subtract 5:30 from 5:42; the result is 0:12. The watch gained a total of 12 minutes over the four-hour period from 1:30 p.m. to 5:30 p.m., or 3 min/hr:
1:30-2:30: 3 MIN
2:30-3:30: 3 MIN
3:30-4:30: 3 min
4:30-5:30: 3 min Summing up 3 min plus 3 min plus 3 min plus 3 min gives us 12 min.
What is the solution to the equation below?
5(6 + x) = 15
A.
3
B.
-1.33
C.
-3
D.
1.33
Answer:
- 3
option c). is correct!
Step-by-step explanation:
Given :
5 ( 6 + x ) = 15
= > 30 + 5 x = 15
= > 5 x = - 30 + 15
= > 5 x = - 15
= > x = - 15 / 3
= > x = - 3
Therefore, final answer is - 3
Answer:
C. -3
Step-By-Step Explanation:
5(6+3) = 45
5(6+-1.33) = 23.35
5(6+-3) = 15
5(6+1.33) = 36.65
In the equation ax2 + bx + c = 0, if b is equal to the new equation is In solving this form of equation, we will use the principle of
Answer:
The answer is b = ax- c/x
when i put the / it means fraction
Suppose the trip take 3 hours and 15 minutes of driving time for the 124-mile round trip. What is the average speed of the buses in miles per hour?
The average speed of the buses is approximately 19.08 miles per hour.
We have,
If the trip takes 3 hours and 15 minutes of driving time, that's a total of 3.25 hours.
The distance traveled is 124 miles round trip, so the distance traveled in one direction is half of that or 62 miles.
To find the average speed of the buses in miles per hour, we can use the formula:
average speed = distance/time
where distance is in miles and time is in hours.
So, the average speed of the buses in miles per hour is:
Average speed
= 62 miles / 3.25 hours
= 19.0769 miles per hour (rounded to 4 decimal places)
Therefore,
The average speed of the buses is approximately 19.08 miles per hour.
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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y=-⅓x+4 what is this treasure of change?
Please Help!
Answer:
-1/3
Step-by-step explanation:(if treasure of change is "rate of change")
Equation of a line: mx + b
m=-1/3: slope
b: y-intercept
^Whenever working with an equation of slope/rate of change the above variables have specific meanings.
Slope is another term for rate of change so the rate of change would be -1/3.
m=-1/3=slope/rate of change
b=4=y intercept
5. Jonathan and Victoria can finish a job in 13 days. Jonathan can do the job
himself in 26 days. if Victoria wanted to do the job alone, how long would it
take her?
6. If a certain job can be finished by 18 workers in 26 days. How many workers
are needed to finish job in 12 days?
.
7. A group of 40 workers can finish digging a tunnel in 12 days. how many
workers can finish the job in 8 days?
Answer:
about 8 workers will finish the job
What is 92 in kg to lbs?
Answer:
92kg is about 202.8 lbs
Step-by-step explanation:
The value of 92 in kg to lbs is 202.8 lbs
What is Kilo gram ?
Kilo gram can be defined as follows , one kilo gram is equals to thousand grams or one gram is equal to reciprocal of thousand.
Given ,
to find 92 in kg to lbs
So, we know that,
1 kg = 2.204
So, here for 92 kg
we need to multiply with 2.204
we get,
92 kg = 92 * 2.204
= 202.8
So, 92 kg = 202.8 lbs.
Therefore, the value of 92 in kg to lbs is 202.8 lbs
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Three balls are packaged in a cylindrical container as shown below. If the balls just touch the top, bottom, and sides of the cylinder, how much of the space inside thecylinder is not filled by the balls if the diameter of a single ball is 7 cm?
The height of the cylinder is the sum of the diameters of the spherical balls, which is 7cm+7cm+7cm=21cm.
The radius of the cylinder is half of the diameter of the spherical balls which is 3.5cm.
The volume of cylinder is given by the formula:
\(\begin{gathered} V=\pi\times r^2\times h \\ V=\pi\times3.5^2\times21 \\ V=\pi\times12.25\times21 \\ V=257.25\pi cm^3 \end{gathered}\)The volume of sphere is given by the formula:
\(\begin{gathered} V=\frac{4}{3}\times\pi\times r^3^{} \\ V=\frac{4}{3}\times\pi\times3.5^3 \\ V=\frac{4}{3}\times\pi\times42.875 \\ V=\frac{171.5\pi}{3} \\ V=57.167\pi cm^3 \end{gathered}\)There are three(3) spherical balls in the cylinder, thus, the volume of the 3 spherical balls will be:
\(\begin{gathered} V=\text{ 3}\times57.167\pi \\ V=171.5\pi cm^3 \end{gathered}\)Hence, the volume of the space inside the cylinder, not filled by the balls is:
\(\begin{gathered} V=\text{Volume of the cylinder-Volume of the 3 spherical balls} \\ V=257.25\pi-171.5\pi \\ V=85.75\pi cm^3 \\ \text{Take }\pi\text{ to be 3.142} \\ V=85.75\times3.142 \\ V=269.42cm^3 \end{gathered}\)HELP PLAESE!!!!!!!!!!!!!! I NEED HELP
Answer:
A
Step-by-step explanation:
B doesn't sound right
C doesn't either
D is just wrong
Mr. Swanson drove 150 miles in 4 hours at a constant speed. What is the unit rate for miles per hour?
Answer:
i hope that was helpful
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and each adult ticket sells for $8.50. The auditorium can hold at most 110 people. The drama club must make no less than $680 from ticket sales to cover the show's costs. Also, they can sell no more than 70 adult tickets. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
74 or 73
Step-by-step explanation:
We are going to assume that the show is sold out. If 66 student tickets were sold, we only have 74 adult tickets to sell. Based on that information, we then have to use an inequality to find out if the number of adult tickets we have to sell to meet our money requirements is more than the amount of seating we have left after 66 seats were taken by students. Our inequality looks like this:
5.50(66) + 7.50(a) ≥ 910 and
363 + 7.50a ≥ 910 and
7.50a ≥ 547 so
a ≥ 73
In order to meet our money requirement, we have to sell 73 adult tickets. Since we have 74 seats left, we are good.
Mindy is the head cheerleader on her suad. She is making banners to place throughout the school for the first football game of the season. She used ⅔ cup of glitter to make 1 cup of glittery paint. Using this same proportion, how many cups of glitter will Mindy use to make 9 cups of glittery paint?
Answer:
\(6\:\text{cups}\)
Step-by-step explanation:
Since the proportion is maintained, we can set up the following proportion:
\(\frac{2/3}{1}=\frac{x}{9}\), where \(x\) is the amount of glitter, in cups, Mindy will use to make 9 cups of glittery paint.
Cross-multiply to get:
\(1x=9\cdot \frac{2}{3},\\x=9\cdot \frac{2}{3}=\boxed{6\:\text{cups}}\)
aaron sampled 101 students and calculated an average of 6.5 hours of sleep each night with a standard deviation of 2.14. using a 96% confidence level, he also found that t*
The true mean sleep time of the population is believed to fall between 6.03 and 6.97 hours at the 96 percent confidence level based on Aaron's sample.
Based on his sample, Aaron computed t* to be 2.22. The t-value may be used to construct the confidence interval as follows:
Mean ± t* (standard error) Where the standard error is the standard deviation divided by the square root of the sample size.
Mean = 6.5
Standard deviation = 2.14
Sample size = 101
t* = 2.22
Standard error = standard deviation / sqrt (sample size)
= 2.14 / sqrt (101) = 0.21
The confidence interval may now be computed as follows:
6.5 ± 2.22 (0.21)
6.5 ± 0.47
= (6.03, 6.97)
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darwin's geometric ratio of increase pertains specifically to
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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A rectangular table is 64 inches long and 35 inches wide. What is the perimeter of this table
The perimeter of a rectangular table is 198 inches.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Given that, a rectangular table is 64 inches long and 35 inches wide.
Now the perimeter of table is
2(64+35)
= 2×99
= 198 inches
Therefore, the perimeter of a rectangular table is 198 inches.
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