Answer:
Mark's total salary is 22,260
Step-by-step explanation:
well, his base salary is 21,000.
if you look at the diagram, the added bonus is 6% of the base salary.
6% can be rewritten as 0.06
0.06 * 21,000 = 1,260
the total salary is just the base salary and the bonus salary added together.
21,000 + 1,260 = 22,260
What is the missing number in the pattern above? 12,84,588,___,28,812
Answer:
4,116
Step-by-step explanation:
Multiply by 7
12x7=84
84x7=588
and 588x7=4,116
So there's your answer 4,116
A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal. Can anyone please help me
Answer:
26.25 or 26 1/4
Step-by-step explanation:
Formula for rectangular prism:
\(V=lwh\)
Substitute in our known values:
V=3.5(5)(1.5)
solve
V=26.25
The volume is 26.25 (decimal form) or 26 1/4.
Hope this helps! :)
Answer: 26.25 in³
Step-by-step explanation:
Given volume formula for a rectangular prism:
V = LWH
First, I am going to turn the \(\frac{1}{2}\)s into 0.5 to make it easier to multiply using a calculator. 3 and one-half becomes 3.5 and 1 and a half becomes 1.5.
Substitute known values and solve by multiplying.
V = LWH
V = (3.5 in)(5 in)(1.5 in)
V = 26.25 in³
Santa made a scale drawing of a picture. The original dimensions of the picture are 8 inches by 12 inches. Which choice shows a possible combination for the dimensions in Anaya’s drawing
Answer:
2:3
Step-by-step explanation:
any choice that has a ration of 2:3
so 2:3, 4:6, 6:9, 10:15, 20:30, 24:36 etc...
MARKING BRAINLIEST! please help asap, show your work
Answer: g(f(10)) = g(√2x+5) = 6x-3
We need to substitute x = √2*10 + 5 into g(x) = 6x - 3
g(f(10)) = 6(√2*10 + 5) - 3 = 6√20 + 30 - 3 = 6√20 + 27
So g(f(10)) = 6√20 + 27.
9(2b - 6)
Help I tried 6 times...
Use distributive property.
18b-54
solve the absolute value inequality. |2(x-1)+8| less than or equal to 6.
Answer:
[-6 , 0]
Step-by-step explanation:
If the absolute value of an expression is equal to a number, that means that the expression itself could be equal to either the negative equivalent to that number or the positive equivalent.
for example, if my inequality is |x| > -3
x could either be:
-3 or 3
So,
| 2(x - 1) + 8 | ≤ 6
can be separated into two separate inequalities:
2(x - 1) + 8 ≤ 6
or, 2(x - 1) + 8 ≥ - 6
we solve these inequalities separately.
2(x - 1) + 8 ≤ 6
2x - 2 + 8 ≤ 6 [distribute 2]
2x ≤ 0 [add 2 to both sides, subtract 8 from both sides]
x ≤ 0 [finalize isolating x by dividing both sides of the equation by 2]
expressed as [in interval notation]:
(-∞, 0]
now, let's solve for the other inequality.
2(x - 1) + 8 ≥ - 6
2x - 2 + 8 ≥ - 6 [distribute 2]
2x ≥ -12 [add 2 to both sides, subtract 8 from both]
x ≥ -6 [divide both by 2 to isolate x]
expressed as [in interval notation]:
[-6 , ∞)
So, our answer for x is going to be
-6 ≤ x ≤ 0
or, expressed in interval notation:
[-6 , 0]
*[ includes number]
*( is not equal to number)
Parallel Lines cut by a transversal
Answer:
110
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Set the two given equations equal to each other (alternate angles i think)
12x + 2 = 11x + 11
**simplify and pull x to one side**
x = 9
**now insert x=9 into one equation (I choose 12x+2**
12(9) + 2 = 108 + 2 =110
A
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Susan started her lemonade stand with a loan of $2. She was able to make $3 a day. If M = money and D = days, write an equation for the line that represents her financial condition.
Answer:
2 + 3d
Step-by-step explanation:
she already has two dollars so she's adding two dollars to whatever she's making. we don't know how many days she's been working so d is the variable that needs to be multiplied by 3 which is the amount of money she makes each day she works
in testing a certain kind of truck tire over rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. of the next 15 trucks tested, find the probability that
We have that, when testing a certain type of truck tire on rough terrain, it is observed that 25% of the trucks fail to complete the test without blowout, the probability that of the next 15 trucks tested, at least one will not able to complete the test run without an explosion is 0.987
How do we calculate the probability?Given that when testing a certain type of truck tire on rough terrain, it is found that 25% of the trucks do not complete the test without blowout.So, the probability that a truck completes the test without a blowout is:
P (A complete truck test without blowout) = 1 - P (A complete truck test without an explosion) = 1 - 0.25 = 0.75
Now, we need to find the probability that of the next 15 trucks tested, at least one will not complete the test without an explosion. This can be found using the complement rule. The complement of the probability that at least one truck does not complete the test without a blowout is the probability that all 15 trucks complete the test without a blowout.
P(All 15 trucks complete the test without a blowout) = P(One truck completes the test without a blowout) x P(A second truck completes the test without a blowout) x ... x P(The fifteenth truck completes the test without a blowout) = 0.75 x 0.75 x ... x 0.75 (15 times)= 0.75^15= 0.013
But we need the probability that at least one truck fails to complete the test without a blowout, which is the complement of the above probability.
P(At least one truck does not complete the test without blowout) = 1 - P(All 15 trucks complete the test without blowout)= 1 - 0.013= 0.987
Therefore, the probability that of the next 15 trucks tested, at least one will not be able to complete the test run without an explosion is 0.987.
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Find the average value of the function f(x) = (x + 2) on the interval [0, 3].
The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.
Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:
= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3
= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]
= (1/3) × [(9/2 + 6) - 0]
= (1/3) × (21/2)
= 7/2
Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
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Help me I can't solve it!
The scientific notation of the given expression (7*10^{-6})(7*10^{-6}) will be 4.9 * 10^{-11}.
As per the question statement, we are supposed to find the scientific notation of the given expression (7*10^{-6})(7*10^{-6}).
Let x = (7*10^{-6})(7*10^{-6})
x = (7*7)(10^{-6})(10^{-6})
x = 49 * 10^{-6-6}
x = 49 * 10^{-12}
x = 4.9 * 10^{-11}
Hence, the scientific notation of the given expression (7*10^{-6})(7*10^{-6}) will be 4.9 * 10^{-11}.
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In the figure given below, ∠DBC=90° and ∠DBE is one-third of ∠ABE.
Answer:
CBE = 112.5 degrees
a representative of a car manufacturer in the united states made the following claim in a news report. ten years ago, only 53 percent of americans owned american-made cars, but that figure is significantly higher today. a research group conducted a study to investigate whether the claim was true. the group found that 56 percent of a randomly selected sample of car owners in the united states owned american-made cars. a test of the appropriate hypotheses resulted in a p-value of 0.283. assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a
There isn't enough evidence to indicate that the percentage of Americans who own American-made cars is more than 53 percent.
A representative of a car manufacturer in the United States claimed that 53 percent of Americans owned American-made cars ten years ago.
However, today, the percentage is higher.
A research group conducted a study to find out whether the statement was true.
They found out that 56 percent of a random sample of car owners in the United States owned American-made cars. The appropriate hypothesis test produced a p-value of 0.283.
Assuming the conditions for inference were satisfied, is there sufficient evidence to conclude, at the level of significance of α = 0.05
At α = 0.05, we want to see if there is enough evidence to reject the null hypothesis.
Therefore, since α = 0.05, the null hypothesis (H0) should be tested against the alternative hypothesis (Ha).
H0: μ ≤ 0.53 (The percentage of Americans who own American-made cars is no higher than 53%).
Ha: μ > 0.53 (The percentage of Americans who own American-made cars is higher than 53%).
It is clear that the researcher's claim was not supported by the evidence since the p-value of 0.283 was far above the significance level of α = 0.05.
Therefore, there is no statistically significant evidence to reject the null hypothesis (H0).
The research group discovered that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars.
The null hypothesis states that the percentage of Americans who own American-made cars is no higher than 53 percent.
Since the p-value was greater than 0.05, we failed to reject the null hypothesis.
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The probability that a grader will make a marking error on any particular question of a multiple-choice exam is .1. If there are ten questions and questions are marked independently, what is the probability that no errors are made? That at least one error is made? If there are n questions and the probability of a marking error is p rather than .1, give expressions for these two probabilities
These expressions hold true for any value of n and p, representing the probability of no errors and at least one error, respectively, in a binomial distribution with independent trials.
P(at least one error) = 1 - P(no errors).If the probability of a grader making a marking error on any particular question is 0.1, and there are ten questions marked independently,
we can calculate the probability of no errors and at least one error using the binomial distribution.
The probability of no errors is given by:
P(no errors) = (1 - probability of error)^number of trials
P(no errors) = (1 - 0.1)^10 = 0.9^10 ≈ 0.3487
The probability of at least one error is the complement of the probability of no errors:
P(at least one error) = 1 - P(no errors) = 1 - 0.3487 ≈ 0.6513
Now, if there are n questions and the probability of a marking error is p, the expressions for the probabilities are as follows:
P(no errors) = (1 - p)^n
P(at least one error) = 1 - P(no errors)
These expressions hold true for any value of n and p, representing the probability of no errors and at least one error, respectively, in a binomial distribution with independent trials.
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Find the measure of
Pls answer with work (I can graph it)
Horizontal asymptotes: y = 2 ; vertical asymptotes: x = 2; x- intercept and y- intercept is at (0,0).
Explain about the asymptotes:A value that you approach steadily yet never quite reach is an asymptote. An asymptote is a line in mathematics that a graph reaches but never crosses. It can be horizontal, vertical, or slanted.
A graph's vertical asymptote is a vertical line with the equation x = a, where the graph tends to positive or negative infinity as when the inputs get closer to the value of a. A graph's horizontal asymptote is a horizontal line with the equation y = b, where the graph moves closer to the line even as inputs get closer to ∞ or –∞.Given function:
f(x) = 2x² /(x² - 4)
horizontal asymptotes:
As the degree of both numerator and denominator is same that is 2.
The horizontal asymptotes y = a/b
a - leading coefficient of numerator
b - leading coefficient of denominator
y = 2/1 = 2
horizontal asymptotes: y = 2
vertical asymptotes:
Put the denominator = 0 and find the 'x'.
(x² - 4) = 0
x² = 4
x = ± 2
vertical asymptotes: x = 2
x- intercept : Put f(x) = 0 and find 'x'.
f(x) = 2x² /(x² - 4)
0 = 2x² /(x² - 4)
2x² = 0
x = 0
x- intercept : x = 0
y- intercept : Put x = 0 and find 'f(x)'.
f(x) = 2(0)² /((0)² - 4)
f(x) = 0
y- intercept is at 0
Thus, x- intercept and y- intercept is at (0,0).
The graph for the function is drawn using the graphing tool, as shown.
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8 + (7 + 1)2 + 4
Can you help me find the answer to this one.
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
8+(7+1)2+4=
8+(8)×2+4=
8+16+4=
28
ps:Can I be brainliest.Have a nice day.Best regards
Im confused with this
The solution is indeed right. a formula that describes how contain a copy on either side of a sign are connected.
How do you locate the equation?Using the slope formula, determine the slope.To find the y-intercept, use the slopes and a single points (b). You can obtain the equation for a line by entering the values of m and b into to the slope-intercept equation of the line (y = mx + b).A two-step equation is what?An algebraic problem that requires two stages to solve is known as a two-step equation. When the variable appears solely on a single end of the equal sign by itself, without any numbers ahead of it, the equation has been solved.
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please help me! i dont understand this at all! I'm desperate! but please add the answer AND how you got the answer? thanks!
Answer: 59.73
====================================================
Explanation:
The markdown of 80% is the amount of money you save
80% of 298.67 = 0.80*298.67 = 238.936 = 238.94
You save $238.94
So the amount you pay, ie the sale price, is 298.67-238.94 = 59.73 dollars.
-----------------------------------------
Another approach:
If you save 80%, then you still pay the remaining 20%
20% of 298.67 = 0.20*298.67 = 59.734 = 59.73
Simplify the expression (8+3)×(2-2)
Answer:
\((8 + 3) \times (2 - 2) \\ \\ = 11 \times 0 \\ \\ = 0\)
# be careful#
Step-by-step explanation:
We're going to simplify what's in the parentheses first.
\((8+3)×(2-2)\)
\(11 \times 0\)
When a number is multiplied by 0, the product always remains 0.
\(11 \times 0 = 0\)
The surveyor walked 120 ft away from one of the sensors so that her walking path made a 90 degree angle with the width of the lake when she stop she measured the lake when she stopped she measured the angle between her lines of sight to both sensors and it was 70 degrees
Therefore ,the answer to the above trigonometry issue is therefore that the river is 70 feet wide.
What is trigonometry?The study of the connections between the angles and sides of triangles is known as trigonometry. Due to the fact that each straight-sided figure may be reduced to a collection of triangles, trigonometry is commonly utilized in geometry. There are a mind-boggling number of connections between trigonometry and other branches of mathematics, especially algebra, real or complex, integrals, logarithms, and infinite series.
Here,
Figure depicts a right triangle which, in relation to angle, its next side has length d or its wrong side is equal to the river's width, y. As a result,
tanθ= d/ y
=> y=dtanθ
=> y = (100m)tan(35.00)=70ft
The river measures 70 feet in width.
As a result, the trigonometry problem's answer indicates that the river's width is 70 feet.
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PLEASE HELP ME ANSWER ASAP
Answer:
(x,y)(3x,3y)
Step-by-step explanation:
Similar means same shape (the ratios of the lengths of their corresponding sides are equal).
So the 3rd option, everything is multiplied by 3, both x and y.
So pick (x,y)(3x,3y)
Jaheim made a bag of trail mix with 1/2 cup of almonds,6/7cup of apple slices, and 1/8cup of pumpkin seeds. About how much trail mix did Jahiem make?
Jahiem made about 3/2 cups of trail mix.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, Jaheim made a bag of trail mix with 1/2 cup of almonds, 6/7 cup of apple slices, and 1/8 cup of pumpkin seeds.
The total amount of trail mix is:
1/2 cup of almonds + 6/7 cup of apple slices + 1/8 cup of pumpkin seeds
= 1/2 + 6/7 + 1/8
= (28 + 48 + 7)/56
= 83/56
≈ 3/2
Hence, Jahiem made about 3/2 cup of trail mix.
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What is the value -134+53
Answer:
To find -134 + 53, add the ones place (4+3=7) and the tens place (5+3=8), giving you -81.
Answer: -81.
Answer:
-81
Step-by-step explanation:
You subtract the absolute values and take the sign of the larger absolute value.
Absolute value is the distance from zero. This will be a positive number
134 - 53 = 81
The sign will be negative because the sign of the higher absolute value number is negative. 134 has a larger absolute value than 53 and it is negative, so our answer is negative.
Helping in the name of Jesus.
Y=x3 is that a function?
Answer:
yes
Step-by-step explanation:
y(x) is even or odd according as y(−x)=±y(x) . Here, #y(-x)=-(-x)^3=-(-x^3)=x^3=-y(x). So, y is an odd function of x.
A lean-to is a shelter where the roof slants down to the ground. The length of the roof of one lean-to is 17 feet. The width of the lean-to is 15 feet. How high is the lean-to on its vertical side?
The height of the lean-to on its vertical side is 8 feet.
What is the height of a lean-to on its vertical side?
To find the height of the lean-to on its vertical side, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the vertical side is the hypotenuse, and the length and width are the other two sides.
So, we have:
\(height^2 = hypotenuse^2 - width^2\)
We know the length of the roof (the hypotenuse) is 17 feet, and the width is 15 feet. So we can plug these values into the equation and solve for the height:
\(height^2 = 17^2 - 15^2\\height^2 = 289 - 225\\height^2 = 64\\height = 8\)
Therefore, the height of the lean-to on its vertical side is 8 feet.
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the question is in the photo! :)
Answer:
2
Step-by-step explanation:
So to get the answer we need to figure out what x is
2×2=4
so x has to be 2
according to the usgs, each person in the united states uses an average of how many metric tons of mineral resources each year? question 1 options: 2 12 18 32 42
Each person in the United States uses an average of 18 metric tons of mineral resources each year.
Step by step explanation:According to the USGS, each person in the United States uses an average of 18 metric tons of mineral resources each year. It has been stated that many of the minerals we use in our daily lives are found in things we use every day, such as electronic devices, personal care products, and vehicles.
Mineral resources are utilized in many aspects of our lives, including construction, transportation, energy production, and electronics. As a result, minerals are an essential component of the modern economy.
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can yall help me with this I have been up since 7 in the morning and I need some help with this do you think you can help me
Answer: (3/6) then (2/6)
Step-by-step explanation:
FRACTIONS: YOU TIMES IT SO THE DENOMINATOR IS THE SAME APPLY THE NUMBER YOU TIMED BY THE NUMERATOR.