Answer:
b. 8a-35s
Step-by-step explanation:
If g(x)=x²-9 and h(x)=2x+7, find (g∙h)(-4)
Answer:
-10
Step-by-step explanation:
h(-4) = 2(-4)+7 which equals -1
g(h(-4)) = -1²-9 which equals -10
Solve for b
-11b+7 = 40
Answer:
b=-3
Step-by-step explanation:
-11b+7=40
-7 -7
-11b=40-7
-11b=33
-11b/-11=33/-11
b=-3
CHECK:
-11b+7 = 40
Substitute -3 for b:
-11(-3)+7=40
Solve:
33+7=40
40=40
Therefore b does in fact equal -3.
I hope this helped you.
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Have a great day!!!!!!!!!
given a population standard deviation of 6.8, what sample size is required to be 90onfident that the estimated mean has an error less than 0.02?
The formula for calculating the required sample size to estimate the population mean with a 90% confidence level is given by:
n = ((z_(α/2)×σ) / E)²Here, z_(α/2) is the z-value for the given level of confidence (90% in this case), σ is the population standard deviation (6.8 in this case), and E is the maximum error we can tolerate (0.02 in this case).
Substituting the given values in the formula, we get:
n = ((z_(α/2)×σ) / E)²n = ((1.645×6.8) / 0.02)²n = 1910.96
Rounding up to the nearest whole number, we get the required sample size to be 1911.
Therefore, a sample size of 1911 is required to estimate the population mean with a 90% confidence level and an error of less than 0.02.
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Formulate an equation that would allow you to calculate the percentage of people who filed their taxes during the week of tax day.
The percentage of people who filed their taxes during the week of tax day is 10%
I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.
A percentage is a portion of a sum divided into 100 equal parts.
Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.
Let :
a represents the total number of taxpayers during the week of April 15th.
b represents the total number of taxpayers for that year.
The original equation is reduced to
a/b× 100
As an illustration, 100 individuals submitted their taxes the week of April 15th and
Let's say that year, 1000 persons filed their taxes.
= 100/1000 = 10%
Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.
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what is the result of -25 x(84/21)+(-3)x(-6) ??
Answer:
-82
Step-by-step explanation:
84/21=4
-25x4=-100
-3x-6=18
-100+18=-82
Scott purchased men’s sports coats for $75 each and sold them for $178 each. Find the markup on retail to the nearest whole percent.
A. 58%
B. 56%
C. 53%
D. 55%
use the function qnorm() in posit to find the value z such that the area to the left of z under the standard normal curve is 0.025. round your answer to 4 digits after the decimal point
z-value is -1.9599
How to find the value of z?To find the value z such that the area to the left of z under the standard normal curve is 0.025, you can use the qnorm() function in R as follows:
Open R or RStudio.Type the following command: `qnorm(0.025)`Press Enter.The output will be the z-value you are looking for. To round your answer to 4 digits after the decimal point, you can use the round() function in R:
Type the following command: `round(qnorm(0.025), 4)`Press Enter.The output will be the rounded z-value, which should be approximately -1.9599.
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a cabinet oblique represents the object with ? 1 point half height full depth half depth full height
When drawing cabinets obliquely, we start with the front face of an object and draw the depths or sides at 45 degrees.
The object is depicted as having a cabinet oblique with half height and full depth. In a cabinet oblique drawing, the object's height is depicted at half scale while its depth is represented at full scale.
Another 3D sketching technique that works well for drawing furniture and cabinets is called cabinet oblique projection. When drawing cabinets obliquely, we start with the front face of an object and draw the depths or sides at 45 degrees.In doing so, a foreshortening effect is produced, giving the object a deeper than tall appearance. The drawing is normally displayed at a 45-degree angle, with the breadth of the object drawn to full scale.
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What is the slope for this graph?
(Driver's Ed) Once in an intersection,
A) You may not make any lane change
B) You must be in the center lane to turn
C) You may make any lane changes you desire
D) You can change your mind about turning
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 185 fours. Find the experimental probability of not rolling a four, based on Jimmy’s experiment. Round the answer to the nearest thousandth.
In this case, the experimental probability is D. 0.860
Why is this so?First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.
In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.
Then, the probability of rolling a 5 will be equal to:
P1 = 140/1000 = 0.14
Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:
P2 = 1 - 0.14 = 0.86
then the correct option is D
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.
A. 0.140
B. 0.167
C. 0.667
D. 0.860
How do you solve #10?
Answer:
y= -1/3x-2
Step-by-step explanation:
comment if u need a explaination
Solve the problem. Round dollar amounts to the nearest cent. Use ordinary interest (360 days in a year) unless otherwise indicated. Chris Owens bought a new computer system. To pay for the system, he borrowed $3,290 from the credit union at 10(1/3)% interest for 110 days. Find the interest.
To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:
Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)
Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.
A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.
It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.
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what are the coordinates of point B' after triangle ABC is reflected across the y-acis
Answer:
B'(-3, 2)
Explanation:
In the triangle, point B is at (3, 2).
We want to find the coordinates of B', the image of B when triangle ABC is reflected over the y-axis.
When a point (x,y) is reflected over the y-axis, the transformation rule is:
\((x,y)\to(-x,y)\)This means that the x-coordinate changes to the opposite sign while the y-coordinate stays the same.
Applying this rule, we have:
\(B(3,2)\to B^{\prime}(-3,2)\)Thus, the coordinates of point B' after triangle ABC is reflected across the y-axis will be B'(-3, 2).
4. In a right triangle with one angle measuring 70 degrees, the leg opposite the 70 degree angle is 12 cm.What is the length of the leg adjacent to the 70 degree angle?
We want to find the value of x.
Since this is a right triangle, we can use trig functions.
We know the opposite side from 70 degrees and we want to find the adjacents side, so we will use tangent
tan 70 = opp side /adj side
tan 70 = 12 /x
x tan 70 = 12
x = 12 / tan 70
x=4.36764
Use the diagram to the right to determine whether BC. DE. Justify your answer. AD = 15, DB = 12, AE = 10, and EC = 8. The cut part is BC (top to bottom)
Explanation:
AD = 15, DB = 12, AE = 10, and EC = 8
To determine if line BC is parallel to line DE, we will find the ratio of thier corresponding sides. if it is equal, they are parallelf
pls help due now!!!!!!!!!!!!!!!!!!!
Answer:
B.
The equation you can use to find the area of a sphere when given radius is:
V = 4/3πr 3
Fitting 5 into the equation:
V = 4/3π5 3
V = 523.598776
Therefore, B is the correct answer.
3. 200 × 38.4 =
4. 900 × 20.7 =
help please it has to be solved like this 400*45.2=400* 45+400*0.2=18000+80=18080
Answer:
3. 7680
4. 18630
Step-by-step explanation:
3. solution:
200 * 38.4 = 200 *38 + 200 * 0.4
= 7600 +80
=7680
4. solution:
900 * 20.7 = 900 *20 + 900 * 0.7
= 18000 + 630
= 18630
If 2^10 + 2^10 = 2^x, what's x?
Answer:
11
Step-by-step explanation:
2^10 + 2^10 = 2^x
1024 + 1024 = 2^x
2,048 = 2^x
x = 11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(x = 11\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Solving for 'x'...}}\\\\2^{10}+2^{10} = 2^x\\--------------\\\rightarrow 2^{10} = 1024\\\\\rightarrow 1024 + 1024 = 2^x\\\\\rightarrow 2048 = 2 ^x\\\\\rightarrow log(2^x)=log(2048)\\\\\rightarrow xlog(2)=log(2048)\\\\\rightarrow \frac{log(2)}{log(2)} =\frac{log(2048)}{log(2)}\\\\\rightarrow x = \frac{log(2048)}{log(2)}\\\\\rightarrow \boxed{x = 11}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Please help me I’m stuck!!
Answer:
Step-by-step explanation:
RMJ = MPT = 90 Perpendicular lines create right angles (90o)
PM = RJ Given
TM = MJ Definition of a midpoint
PT = MR Two equal legs of a right triangle makes the third side of each equal by a^2 + b^2 = c^2
ΔPTM = ΔJMR Side Side Side
There are other ways of doing this. This is one way.
Which relation is NOT a function?
A. {(2,7), (3,7), (4,7), (5,8)}
B. {(1, –5), (3,1), (–5,4), (4, –2)}
C. {(1, –5), (–1,6), (1,5), (6, –3)}
D. {(3, –2), (5, –6), (7,7), (8,8)}
Answer:
D
Step-by-step explanation:
D is not a function because:
There are 2 sets of pairs so there is no out.
* (3,-2)
* (5,-6)
(7,7) NO!
(8,8) NO!
pleaseeee explain !!!
A is the answer because if we want the unit rate we do
2/3÷2/3 and 15 1/5, we can turn 15 1/5 into a improper fraction first so 76/5 and we do 76/5 ÷2/3 which is equal to
76/5×3/2=114/5
114/5 simplifies into 24 4/5.
so Naomi can travel 24 4/5 gal per mile.
Hope this helps!
Which equation represents g(x)? The graph of g(x) is a translation of y = x. Ту O g(x) = 3-4 5 O g(x) = 3/x+4 4 3 O g(x) = 5x + 1.5 2 000). 1 O g(x) = 3x - 1.5
Hi there!
Before we get into translation or transformation of a graph. Let's understand how the graph of cube root of x looks like.
1. How does an original graph, or a graph without any translations look like?
They just look like in attachment as only in a shape of graph. The only difference is how the graph shifts. As you see in the attachment that the graph shifts to 4 units from 0. That means the graph of cube root of x intersects at (0,0) or origin point instead of (4,0). Since the shown graph shifts to right 4 units and intersect at (4,0). What do you think the equation for the graph would be? Let's find out below!2. Translations/Transformation of the graph.
Have you got an equation or the answer in your mind yet? Let's say... when you shift the graph to right 4 units which equal to x = 4, the graph finally intersects the x-axis plane or y = 0. Thus making the relation for x and y (4,0). What we have to do is to substithte x = 4 and see which equation result in pure 0.3. Conclusion and Answer
If you have already gotten the answer before reading this then congratulations! If you are confident that it is correct though. So the equation that makes x = 4 and y = 0 would be the first equation because when we substitute x = 4, it becomes cube root of 4-4 which becomes 0. Hence, the equation for the graph is cube root of x-4 or the first choice!I hope this helps! Let me know if you have any doubts regarding your question or my answer.
Write an inequality for:
"The legal speed on a highway is at most 65 miles per hour."
Answer:
L ≤ 65
Step-by-step explanation:
Less than or equal to 65 which means at the peak (most) it is 65 MPH :)
Lara ordered a set of orange and yellow pins. She received 85 pins, and 80% of them were orange. How many orange pins did Lara receive?
Therefore , the solution of the given problem of percentage comes out to be Lara consequently got 68 orange pins.
Define percentage.In statistics, "a%" refers to a statistic or metric that is expression as a percentage of 100. Additionally rare are the acronyms "pct," "pct," and "pc". However, the sign "%" is frequently used to represent it. The percentage of the overall amount is flat; there are no measurements. Percentages are truly numbers because their numerator almost always equals 100. To show that a number represents a percent, either a percent sign (%) as well the phrase "fraction" has to appear before the number.
Here,
Since the two categories encompass every pin, if 80% of the pins are orange, then 20% of the pins must be yellow. This information can be used to determine how many orange pins Lara actually got.
Let X represent the overall amount of orange pins Lara was given. Thus, we are aware of:
80 percent of the pegs are represented by
=> X: X = 0.8 * 85
20% of all pins are yellow, making up all of the brooches.
=> 0.2 * 85 = yellow pegs
By multiplying both parts of the first equation by 10, we can make it simpler:
=> 10X = 8 * 85
=> 10X = 680
When we multiply both parts by 10, we get:
=> X = 68
Lara consequently got 68 orange pins.
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Describe the relationship between a circumference of a circle and its diameter.
Group of answer choices
options:
The circumference is half the length of the diameter.
The diameter is about 3.14 times greater than the circumference.
The circumference is about 3.14 times greater than its diameter.
The circumference is twice the length of its diameter.
which one i pick help!!!
The relationship between a circumference of a circle and its diameter is the circumference is about 3.14 times greater than its diameter.
What is circumference?
A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole.
The formula gives it
\(C = 2\pi r\)
where r is the radius of the circle.
Diameter is defined as the two times the radius
i.e. d = 2r ................. (1)
and the circumference of a circle is \(C = 2\pi r\) ................ (2)
From equations (1) and (2), we get
\(C = \pi d\)
where, \(\pi\) = 3.14
So, the required option is the circumference is about 3.14 times greater than its diameter.
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In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
if a×b = 3i − 7j − 2k, what is (a b) ×(a − b)?
The formula for multiplying two vectors is: (a b) x (a - b) = (a x a)b - (a x b)b = ab² - a²b.
In this case, (a b) x (a - b) = 3i - 7j - 2k x 3i + 7j + 2k = 9i² - 49j² - 4k².
The formula for the cross product of two vectors is (a b) × (a − b) = (a × a) − (a × b) − (b × a) + (b × b). Since the cross product of a vector with itself is zero, this simplifies to (a b) × (a − b) = − (a × b) − (b × a).
Now, we can substitute the given value of a×b into this formula:
(a b) × (a − b) = − (3i − 7j − 2k) − (3i − 7j − 2k)
Simplifying this further gives:
(a b) × (a − b) = −6i + 14j + 4k
Therefore, the cross product of (a b) and (a − b) is −6i + 14j + 4k.
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which example describes the scientific method?
The correct steps that best describe the scientific method are:
The scientific method has five basic steps, plus one feedback step:
Make an observation.Ask a question.Form a hypothesis, or testable explanation.Make a prediction based on the hypothesis.Test the prediction.Iterate: use the results to make new hypotheses or predictions.What is the Scientific Method?The scientific method is a systematic approach to scientific inquiry that involves a series of steps used to investigate, test, and understand natural phenomena
The process of the scientific method involves making conjectures (hypotheses), deriving predictions from them as logical consequences, and then carrying out experiments or empirical observations based on those predictions.
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A $145 scooter is on sale at 20% off. Find the sale price.
The discount amount is $29. The sale price of the scooter is $116.
What is the percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. The symbol "%" represents it.
Given that, the market price of a scooter is $145.
The discount on the scooter is 20%.
The discount amount is $145×20%
= 145 × (20/100)
= 145 × (1/5)
= 29
The sale price is Marke price - discount
= $(145 - 29)
=$116
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