Answer:
2x(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
Simplify: 5x⁴
(3x⁵– 8x²)
Answer:
\(15x^{9} -40x^{6}\)
\(5x^{6} (3x^{3} -8)\)
Step-by-step explanation:
Answer:
15x⁹ - 40x⁶
Step-by-step explanation:
5x⁴ (3x⁵– 8x²)
apply the distributive law: a(b - c) = ab - ac
a = 5x⁴ , b = 3x⁵ , c = 8x²
= 5x⁴ * 3x⁵– 5x⁴ * 8x²
= 15x⁹ - 40x⁶
Write a whole number in each blank to show a product that is equivalent to the sum 48+108. Write your answers in the blanks.48 + 108
• (4 + )
Answer:
one equation is 37+109
Step-by-step explanation:
I hope this helps. I hope this is what you are looking for. I am sorry if it isn't.
help please and thanks! :)
Hello guys. If you could help me with this one question you shall get 80 whole points!
The solution to the given problem is 25/88. The solution has been obtained by applying BODMAS rule.
What is the BODMAS rule?
The letters BODMAS stand for Bracket, Of, Division, Multiplication, Addition, and Subtraction. An explanation of a mathematical expression's execution sequence is provided by the BODMAS. According to the BODMAS rule, brackets must be answered first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction.
We are given an expression as (3/11 + 2/11) * 5/8
Now, as per the BODMAS rule, we will first solve the brackets.
On solving the brackets, we get
5/11 * 5/8
Now, on solving it further, we get
5/11 * 5/8 = 25/88
Hence, the solution to the given problem is 25/88.
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Write one digit on each side of 73 to make a four digit multiple or 36. How many different solutions does this problem have? And what are they.
Answer:
73 u have to add any digit either at right or left therefore
73+11=
them multiply by 36
73×36
Addison and multiplication is t a e answer
Answer:
There are two solutions to the problem.
The numbers are 6732 and 2736.
Step-by-step explanation:
36 = 4*9
The four digit number must be divisible by 4 AND by 9.
The last two digits must be divisible by 4. So only 2 and 6 are possible.
X732, X736.
X must be such that the four-digit number is divisible by 9.
7+3+2=12, so a 6 to make the sum of digits = 18, hence divisible by 9. So 6732 is divisible by 36.
7+3+6 = 16, so a 2 to make 2736 whose sum of digits = 18, hence the four digit number is divisible by 9. So 2736 is divisible by 36.
There are two solutions to the problem.
The numbers are 6732 and 2736.
Liam used a container shaped like a cylinder to catch rainwater. The dimensions of the container are 18 cm radius and 13.5 cm tall. Which measurement is closet to the volume of the container in cubic centimeter a 13741 cm, b 3281 cm , c 763 cm are d 3435 cm
The volume of a cylinder is
\(V=\pi(r)^2h\)Where r = 18, h = 13.5, and pi = 3.14.
\(\begin{gathered} V=\pi\cdot(18)^2\cdot13.5 \\ V\approx13,741(cm)^3 \end{gathered}\)Hence, the approximated volume is 13,741 cubic centimeters.Given y = 3x + 1 State the quadrants in which this graph is in. (Use the numbers 1-4)
Answer:
1, 2 and 3 (I, II and III)
Step-by-step explanation:
Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.
The y intercept is 1
the x intercept is:
0 = 3x + 1
x = 1/3
Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III. Graph the equation to prove this.
the diameters of ball bearings are distributed normally. the mean diameter is 147 millimeters and the standard deviation is 5 millimeters. find the probability that the diameter of a selected bearing is greater than 138 millimeters. round your answer to four decimal places.
The likelihood that the diameter of a chosen bearing is more noteworthy than 138 mm can be too represented as 0.9641.
To illuminate this issue, we are able to utilize the standard normal distribution equation:
z = (x - μ) / σ
where:
x (the chosen diameter) = 138 mm
μ (the mean diameter) = 147 mm
σ (the standard deviation) = 5 mm
So, the z-score is:
by substituting , the above values we get the z value as
z = (138 - 147) / 5 = -1.8
To discover the likelihood that the distance across of a selected bearing is more noteworthy than 138 mm, we need to discover the area beneath the standard ordinary dissemination bend to the correct of z = -1.8.
Able to utilize a standard ordinary dispersion table or calculator to discover this likelihood. Employing a calculator, we will discover the range to the correct of z = -1.8 to be 0.9641.
Subsequently, the probablity that the diameter of a chosen bearing is more prominent than 138 mm is 0.9641 (adjusted to four decimal places).
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If the 30/8 give me 3 6/8 explain to me how did I get 3 6/8 please
Answer:
See explanation.
Step-by-step explanation:
The question is not very clear, but I am assuming that you are asking how to get from 30/8 to 3 6/8
This is a mere simplification problem. We have simplified 30/8 into 3 6/8.
To start, let's check out the multiples of 8 that are less than 30
8, 16, 24. We want the largest multiple, 24. here we have
\(\frac{24}{8} + \frac{6}{8}\)
Simplify 24/8 into 3.
Now you're done!
3 6/8!
Help please help help
Answer:
I got 3.60
Step-by-step explanation:
I used a^2 + b^2 = c^2.
2^2 + 3^2 = c^2 which is the hypotenuse ( the slide)
^^^^^^^^^^these are the legs that make up the right angle. FIRST get the square root of those and add them. THEN the total of that which is 13. Square root 13...√13 and it gives you 3.6055512etc.
an hyperboloid is a 3d shape whose cross sections are hyperbolas. a nuclear cooling tower is in the shape of a portion of a hyperboloid. a cross section of the cooling tower can be modeled by the hyperbola shown below, centered at the origin and opening left/right. if the smallest diameter of the cooling tower is 156 m and the diameter is 158.6 m at its highest point, 44 m above, write the equation of the hyperbola.
The equation of the hyperbola is x²/79²-y²/504.71² = 1
What is hyperbola?A hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.
Given that, a hyperboloid is a 3d shape whose cross-sections are hyperbolas. We need to find the equation of the hyperbola,
Since, the hyperbola center is at origin, therefore,
The equation will be,
x²/a²-y²/b² = 1
The smallest diameter is 156 m,
Therefore,
2a = 156
a = 78
The diameter is at is 158.6 m at its highest point, 44 m above, therefore, the point, (79.3, 44) lie at the hyperbola,
Put the values in the main equation,
79.3²/79² - 44²/b² = 1
44²/b² = 79.3²/79² -1
44²/b² = 0.0076
b² = 44²/0.0076
b² = 254,736.842
Therefore, the equation will be;
x²/79²-y²/504.71² = 1
Hence, the equation of the hyperbola is x²/79²-y²/504.71² = 1
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Evaluate the formula t=
x−μ
s
n when μ=117, n=28, x=113, and
Work Shown:
\(t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\\)
In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).
Does anyone know how to solve this? I really need help please.
Answer:
See Below
Step-by-step explanation:
angle BAK = 128
Find KAS
180 - 128 = 52
KAS = 52
find BKA and ABK
360 -128 = 232
232/2 = 116
BKA =116
ABK = 116
find AKS
180 - 116 = 64
AKS =64
Now you have KAS and AKS
add together and subtract sum from 360 to find BSK
52 + 64 = 116
360 - 116 =244
Let me know if incorrect, plz.
Hope this helps=)
Below is the graph of a trigonometric function. It has a minimum point at (-2,-5.2) and an amplitude of 1.1. What is the midline equation of the function?
Y=
\(y_{minimum} = - 5.2 \\ y_{maximum} = - 5.2 + 1.1 \\ y_{maximum} = - 4.1\)
\(midline = \frac{y_{maximum} + y_{minimum} }{2} \\ midline = \frac{ - 5.2 - 4.1}{2} = \frac{ - 9.3}{2} = - 4.65\)
\(midline \: \: \: \: y = - 4.65\)
i need help with questions 12 and 13 please i dont understand this at all
Answer:
3rd and 4th options
Step-by-step explanation:
(12)
(f + g)(x)
= f(x) + g(x)
= x - 2 + 5x - 1 ← collect like terms
= 6x - 3
(13)
(g • f)(x)
= g(x) × f(x)
= - 3x(6x² - 3x) ← multiply each term in the parenthesis by - 3x
= - 18x³ + 9x²
Simplify the expression.
4(5x + 2) + 7x + 6 =
12x + 8
27x + 14
27x + 8
27 + 14x
Answer: =27x+14
Step-by-step explanation: hope this help :)
Let's simplify step-by-step.
4(5x+2)+7x+6
Distribute:
=(4)(5x)+(4)(2)+7x+6
=20x+8+7x+6
Combine Like Terms:
=20x+8+7x+6
=(20x+7x)+(8+6)
=27x+14
Answer:
=27x+14
pleaseee help asap!!! marking brainiest!!!
Answer:
B
Step-by-step explanation:
We can see that both functions are decreasing in [0,4]
f 868⇒ 103g 800⇒0 868-103 =765f decreased with 765 against 800 for g
g decreased faster
ANSWER BOTH!!!
A. An item is regularly priced at $65. Bill bought it at a discount of 20% off the regular price. How much did Bill pay?
B. The wholesale price for a pillow is $4.50. A certain department store marks up the wholesale price by 40%. Find the price of the pillow in the department store.
Round your answer to the nearest cent, as necessary.
Answer:
A = $52.00B = $6.30Step-by-step explanation:
A. How much Bill paid AFTER the discount.Step 1: Convert the discounted percent to decimal
20% = 0.2
Step 2: Multiply the discount to the item regularly priced
0.2(65.00) = 13
So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:
Step 3: Subtract the result (the discount Bill received) from the regular price
$65.00 - $13.00= $52.00
Therefore, Bill paid $52.00
B. The price of the pillow in the department store.Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price
$4.50 × 40% = 1.8
Set up a fraction\(\frac{4.50}{x}=\frac{100\%}{40\%}\)
The reciprocal of both sides gives\(\frac{x}{4.50}=\frac{40}{100}\)
x = 1.8
Step 2: Add the result to the wholesale price for the pillow
4.50 + 1.8 = $6.3
Step 3: Round to the nearest cent
Add a zero behind the result = 6.30
Therefore, the price of the pillow in the department store is $6.30
In the diagram, ABC undergoes a dilation with D as the center of the dilation to create A’ B’ C’. What are possible scale factors of the dilation that will create a A’ B’ C’? Select all that apply.
The scale factor of the dilation must be greater than 1. if the image A'B'C' is bigger than the preimage ABC
What are possible scale factors of the dilationIf the image A'B'C' is bigger than the preimage ABC, then the scale factor of the dilation must be greater than 1.
In other words, the length of any segment in the image is larger than the corresponding segment in the preimage by the same factor.
Since D is the center of the dilation, we can use the ratio of the corresponding side lengths of the image and preimage triangles to find the scale factor.
For example, if we want to find the scale factor for A', we can use:
scale factor = B'C'/BC
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Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?
Sarah's charges per hour for working during the week will be $9.5.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.
Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be
45x + 5y = 902.5 ...1
50x + 10y = 1045
25x + 5y = 522.5 ...2
Subtract equation 2 from equation 1, then we have
45x - 25x = 902.5 - 522.5
20x = 380
x = 19
And the value of y will be
25 (19) + 5y = 522.5
475 + 5y = 522.5
5y = 47.5
y = 9.5
Sarah's charges per hour for working during the week will be $9.5.
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Haley has a collection of necklaces. Lastmonth, she had 40 necklaces. She now has72 necklaces. What is the percent changein the number of necklaces in Haley'scollection from last month to now?
40 necklaces before
72 necklaces now
40 ------------------------- 100%
72 ------------------------- x
x = (72 x 100)/40
x = 7200/40
x = 180%
Result = 180%
yvonne reviewed the scientific literature on the effects of gum-chewing on attention among middle schoolers and found that 23 experiments had been conducted on this topic. she performed a series of statistical tests to reach an overall conclusion from these studies as a group. what technique was yvonne using?
It seems like Yvonne was using a technique called meta-analysis. Meta-analysis is a statistical method that combines the results of multiple studies to draw an overall conclusion.
In this case, Yvonne reviewed the scientific literature on the effects of gum-chewing on attention among middle schoolers and found that 23 experiments had been conducted on this topic. She then performed a series of statistical tests to analyze the data from these studies collectively.
By synthesizing the findings from multiple studies, meta-analysis allows researchers to obtain a more comprehensive understanding of the topic and draw more reliable conclusions. It provides a way to quantitatively summarize the results and identify patterns or trends across different studies. So, Yvonne used meta-analysis to reach an overall conclusion from the group of studies she reviewed.
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The table shows the number of runs earned by two baseball players.
Player A Player B
2, 1, 3, 8, 2, 3, 4, 4, 1 1, 4, 5, 1, 2, 4, 5, 5, 10
Find the best measure of variability for the data and determine which player was more consistent.
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.5.
Player B is the most consistent, with an IQR of 3.5.
The speed of sound is approximately 761
miles per hour. For an object to create a sonic boom, it must travel faster than the speed of sound. Write an inequality that describes the speeds s
at which a moving object will create a sonic boom.
Answer:
s>761
Step-by-step explanation:
I think
pls help asap if you can!!!!
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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Because psychologists generally use college students as research participants, the research does NOT involve Group of answer choices random sampling. convenience sampling. confounds. random assignment.
Answer: random sampling
Step-by-step explanation:
Because psychologists generally use college students as research participants, the research does not involve random sampling.
Random sampling is when each sample has an equal chance of being selected. Since the psychologists are targeting a particular set of students, the random sampling might not be applicable in this case.
Write an equation for a line that is parallel to 3y = 2x - 3 and passes through the point (-3, 4).
Answer:
Step-by-step explanation:
You keep the same slope since it's supposed to be parallel. But first you need to write it in slope intercept form. So the y can't have a number in front of it, so you must divided everything after the equal sign by the 3. So the equation becomes y=2/3x−1. Now you plug in the points to find a parallel equation using point slope form y−(4)=(23)(x−(−3)). Then you solve that and you get y=2/3x+6.
I wasn't in class so I need help solving the inequality 7/10n+14<49
Answer:
n<50
Step-by-step explanation:
7/2*5n + 14<49
7n/2*5+14<49
(7n)+(2*5)14/2*5 <49
7n+10*14/2*5 <49
7n+140/2*5 <49
7n+140/10 <49
7n+140 < 10*49
7n+140 < 490
(7n+140)+(-140)<490+(-140)
7n+140-140<490-140
7n<350
7n/7 < 350/7
n<2*5^2*7/7
n<2*5^2
n<2*25
n<50
Solve for the coordinates of the midpoint of (13, 27) and (-31, 53). Show your work to receive full credit.
Answer:
-9,40
Step-by-step explanation:
Midpoint Formula:
\((\frac{x^{1} +x^{2} }{2},\frac{y^{1} +y^{2} }{{2} } } )\)
Answer:
Midpoint = (−9,40)
Step-by-step explanation:
7. A stereo speaker in the shape of a triangular pyramid
has a height of 12 inches. The area of the base of the
speaker is 22 square inches.
What is the volume of the speaker in cubic inches?
Answer:
88
Step-by-step explanation:
memorize this formula:
V = 1/3AH
a is base area
h is height
so V = 1/3 *22*12= 88