Answer:
\( {2}^{3} \times \sqrt{2} \\ = {2}^{3} \times {2}^{ \frac{1}{2} } \\ = {2}^{(3 + \frac{1}{2})} \\ = {2}^{ \frac{(6 + 1)}{2} } \\ = {2}^{( \frac{7}{2}) } \\ = \boxed{ {2}^{(3.5)} }✓\)
2³'⁵ is the right answer.what are the two possible reasons for observing an outcome in a sample that differs from what you would expect in the population?
The population includes the sample. Therefore, only some of the variables—not all—are used when we calculate central tendency or spread values.
What does the standard deviation of the sample mean?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.According to question
The sample may not be a good representation of the population due to various biases that could have been introduced during sample calculation, such as self-selection and non-response.
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Answer fast please and thank you
Answer:
wait did u upload this twice-
Step-by-step explanation:
Which of the following equations have infinitely many solutions? Choose all answers that apply: a--19x+91=-19x+91
b--19x-38=-19x-38
c- -19x-19= -19x-19
d- -19x-19= -19x+19
PLEASE HELP- RIGHT ANSERS ONLY- WILL MARK BRINLIST FIRST TO ANSER CORRECTLY
Answer:
A, B, C
Step-by-step explanation:
We can start by combining like terms in all of these equations:
A:
-19x + 91 = -19x + 91
-19x = -19x
x = x
A is correct
B:
-19x - 38 = -19x - 38
-19x = -19x
x = x
B is correct
C:
-19x - 19 = -19x - 19
-19x = -19x
x = x
C is correct
D:
-19x - 19 = -19x + 19
We see from here that these are not identifcal equations, so therefore choice A,B and C are correct.
(solve each system by graphing. Check your solution) questions 11 and 13
Answer: 10. (2,4) 11. (4,9) 13. (2,-2) 14. (1,2)
Step-by-step explanation:
Just plugged em into desmos & double checked
Answer: 11. (4,0) 13. (2,-2)
Step-by-step explanation:
11.
\(\displaystyle\\\left \{ {{y=\frac{1}{2} x+7 } \atop {y=\frac{3}{2}x+3 }} \right. \\\\y=\frac{1}{2}x+7\)
x | 0 | 4 |
y | 7 | 9 |
\(\displaystyle\\y=\frac{3}{2}x+3\\\)
x | 0 | 2 |
y | 3 | 6 |
13.
\(\displaystyle\\\left \{ {{y=x-4} \atop {y=-x}} \right. \\\\y=x-4\)
x | 0 | 4 |
y | -4 | 0 |
\(y=-x\)
x | 0 | 4 |
y | 0 | -4 |
I WILL GIVE OUT BRAINLIEST FOR CORRECT ANSWERS PLEASE HELP ME
Answer:
C) 32ft
Step-by-step explanation:
2x+2= 2(1)+2= 4
3x+4= 3(1)+4= 7
2x+2= 2(1)+2= 4
5x+1= 5(1)+1= 6
2x+2= 2(1)+2= 4
3x+4= 3(1)+4= 7
4+4+4+6+7+7= 31
What is - 3 1/7 - (- 4/7)
Answer:
-18/7 Hope this helps
Explination:
-3 1/7 - (-4/7)
Convert the mixed number into an improper fraction. 3 1/7 equals 22/7
-22/7 - (-4/7)
Subtract. -22/7 - -4/7 = -18/7
Step-by-step explanation:
\( \\ \tt - 3\frac{1}{7} - \frac{ - 4}{7} \)
\( \\ \tt = \frac{ - 22}{7} + \frac{ 4}{7} \)
\( \\ \tt = \frac{ - 22 + 4}{7} \)
\( \\ \tt = \frac{ - 18}{7} \)
\( \\ \tt = - 2 \frac{4}{7} \)
Aurelia is buying a new computer the shipping cost is 8% of the purchase price if Aurelia’s computer costs $585 how much will it cost to have it shipped show your work
It will cost Aurelia $631.80 to have her new computer shipped.
To calculate the shipping cost, we need to multiply the purchase price of the computer by the percentage of shipping cost, which is 8%.
To do this, we can use the following formula:
Shipping cost = Purchase price x (Shipping percentage/100)
In this case, the purchase price is $585 and the shipping percentage is 8, so we can plug in these values into the formula:
Shipping cost = $585 x (8/100)
Now we can solve the shipping cost:
Shipping cost = $46.80
So the total cost for Aurelia to have her new computer shipped would be
$585 + $46.80 = $631.80.
Thus, it will cost $631.80 for Aurelia to have her new computer shipped.
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3. ALGEBRA Nancy Boone's new automobile had an MSRP of
$27,853.00. The dealer prep charge was $278.50 and the title ſee
was $25.00. Options totaled $2,375,50. Find the sales tax rate,
to nearest hundredth percent iſ the total cost was $32 591.22
and the sales tax applied to everything but the title fee.
Answer:
The tax rate is approximately 6.75%
Step-by-step explanation:
In the question it is required to find the amount added to the total cost as tax
The given parameters are;
The Manufacturer's Suggested Retail Price, MSRP, of the automobile, MSRP = $27,853.00
The dealer prep charge, PPC = $278.50
The title fee, T = $25.00
The cost of the options added (leather, fridge, etc.), Op = $2,375.50
The total cost, C = $32,591.22
Let 'x' represent the the tax rate,
Therefore, we have;
32,591.22 = x × (27,853 + 278 + 2,375.5) + 27,853 + 278 + 2,375.5 + 25
32,591.22 = 30,506.5·x + 30,531.5
32,591.22 - 30,531.5 = 30,506.5·x
∴ 2,059.72 = 30,506.5·x
x = 2,059.72/30,506.5 = 0.06751741432 ≈ 0.0675
The tax rate, x ≈ 0.0675 = 6.75%
Given: △ABC, D∈ AB , E∈ BC F∈ AC , DE ∥ AC , AD ∥ FE AD=6, DE=5, AB=17 Find: AC
Please help ASAP!
Answer: The length of AC is approximately 5.196 units.
Step-by-step explanation:
To find the length of AC, we can use the fact that DE is parallel to AC and AD is parallel to FE, which forms a pair of corresponding angles. Therefore, we can set up a proportion using the fact that corresponding angles are congruent.
DE/AC = AD/FE
We know that DE = 5 and AD = 6, so we can substitute these values into the proportion:
5/AC = 6/FE
We can cross-multiply and solve for AC:
5 * FE = 6 * AC
Next, using the fact that triangle ABC is a triangle, we can use the Pythagorean theorem to find the value of FE.
AB^2 + BC^2 = AC^2
17^2 + BC^2 = (AC)^2
289 + BC^2 = AC^2
Now, substitute the value of FE into the equation we have,
5 * sqrt(AC^2 - 289) = 6 * AC
multiply the both sides of the equation by the reciprocal of 5,
sqrt(AC^2 - 289) = (6/5) * AC
Square both sides of the equation,
AC^2 - 289 = 36/25 * AC^2
subtract the left side from the right side
-289 = -(36/25) * AC^2
divide both sides by -(36/25)
AC = sqrt(289/(1-(36/25)))
AC = sqrt(289/11/25)
AC = sqrt(289/275)
AC = sqrt(289/11)
AC = sqrt(26)
AC = approx 5.196152422706632
Therefore, the length of AC is approximately 5.196 units.
please help me i am trying to get al over do work turned in
Answer:
expanding
commutative prop
factorisation
simplifying
Step-by-step explanation:
The distributive property states that a(b+c) is equal to ab+ac and (a+b)c is equal to ac+bc. The commutative property states that a+b=b+a.
Hurricanes are large storms that form over warm waters out in the ocean. hurricanes are associated with low-pressure regions in the atmosphere. how does the low pressure associated with a hurricane help them to grow big and powerful?
A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.
An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.
A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.
The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.
A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.
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3 to the 5 power - 10 to the4 power
The answer would be
negative -9757
Hope this helps :)
Rewrite \sqrt((1+cos45)/(2)) using a half-angle identity
\(\stackrel{\textit{Half-Angle Identities}}{cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos\left( \cfrac{45^o}{2} \right)\implies \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos(22.5^o)\)
Find the value of x in the equation below.
19= x + 16.1
Answer: x= 2.9
Step-by-step explanation:
19-16.1= 2.9
x=2.9
the price of the four new tires changes from $638 to $523 find the percent of increase or decrease
A.18% decrease
B.18% increase
C. 22% decrease
D 22% increase
Step-by-step explanation:
To find the percent change in price of the four new tires, we can use the formula:
percent change = (new value - old value) / old value * 100%
Here, the old value is $638 and the new value is $523.
percent change = ($523 - $638) / $638 * 100%
percent change = -$115 / $638 * 100%
percent change = -0.18 * 100%
percent change = -18%
The result is a decrease of 18%, so the answer is A. 18% decrease.
Okay, let's solve this step-by-step:
Original price of 4 tires: $638
New price of 4 tires: $523
To calculate the percent change, we use the formula:
Percent Change = (New Price - Original Price) / Original Price
So in this case:
Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%
Since the new price is less than the original price, this is a decrease.
Therefore, the answer is A: 18% decrease
So the answer is A: 18% decrease
5x when x=7 ......... NEED HELP
Answer:
35
Step-by-step explanation:
5 x 7 = 35
Answer:
35
Step-by-step explanation:
The equation is 5x. When the value of x is 7, you multiply 5*x or 5*7. This gives you 35.
Find the 8th term of the arithmetic sequence 3x+13x+1, -2x+7−2x+7, -7x+13,
pls help me I will give brainlist
Answer: =38x+16.
a_{\color{red}{8}}=(\color{blue}{3x-5}) + (\color{red}{8}-1)(\color{green}{5x+3})
a
8
=(3x−5)+(8−1)(5x+3)
a_{8}=3x-5+ 7(5x+3)
a
8
=3x−5+7(5x+3)
a_{8}=3x-5+35x+21
a
8
=3x−5+35x+21
What is the square root of x?
Given x is twice as much as y.
Given y is 1/4 of z.
Given z is 1/2 of 1600.
The square root of the algebra value x is 20.
Substitution algebraSubstitution in algebra simply means putting numbers where the letters are.
There are three algebra values given which are; x, y, and z
x = 2y
y = (1/4) of z
z = (1/2) of 1600
hence,
z = 1/2 × 1600
z = 800
we substitute the value of z in y = (1/4) of z
so y = 1/4 × 800
y = 200
also, we substitute the value of y in x = 2y
so x = 2 × 200
x = 400
take the square root of x and its value
√x = √400
√x = 20.
Therefore, by proper substitution of the algebra values, the square root of x is derived to be 20.
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LaToya is buying corn chips and soda. She has 4 bags of corn chips and 5 bottles of soda in her shopping cart. The marginal utility of the fourth bag of corn chips is 10, and the marginal utility of the fifth bottle of soda is also 10. Is LaToya maximizing utility? A. No. She is maximizing marginal utility but not total utility. B. This cannot be determined because we do not know the price of corn chips and soda and whether or not she fully spent her budget allocated to corn chips and soda. C. Yes. She is maximizing utility. D. No. She is not maximizing marginal utility.
Answer:
Option B: This cannot be determined because we do not know the price of corn chips and soda and whether or not she fully spent her budget allocated to corn chips and soda.
Step-by-step explanation:
Maximization of utility of the goods given is defined as the satisfaction or benefit La Toya derived based on the amount of money she spent on the corn chips and bottles of soda.
Now, for us to know if she is maximizing utility, we need to know the price of the goods and also if she spent all the money she allocated for the corn chips and bottle of soda. This would in turn help us to know how she spent her money and if the expenses she made was most beneficial to her.
Thus, the correct answer is Option B
I don’t know how to do this.
Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in mineral content of the spines of 47 mothers during three months of breast-feeding.6Here are the data:
Blend Images/Superstock
(a)
The researchers are willing to consider these 47 women as an SRS from the population of all nursing mothers. Suppose that the percent change in this population has standard deviation ? = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribution quite closely. (Don
To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.
To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.
STEMPLOT OF THE DATAHowever, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.
Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.
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What is the magnitude of the area of triangle a. b.c?
what is the area of the illuminated region?
The area of the right triangle is equal to 24 square meters.
How to determine the area of an illuminated region
In this problem we must determine the area of an illuminated region, whose form is a right triangle, whose area formula is:
A = 0.5 · w · h
Where:
A - Area, in square meters.b - Base, in meters.h - Height, in meters.If we know that w = 8 m and h = 6 m, then the area of the triangle is:
A = 0.5 · (8 m) · (6 m)
A = 24 m²
The right triangle has an area equal to 24 square meters.
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jorge makes fruit snacks for his friends. He uses 1 1/2 apples to make 3 fruit snacks.
How many apples does jorge need to make 1 fruit snack
Answer:
Jorge needs 1/2 apple to make the snack.
help meeeeeeeeee plzzzzzzzzzzzz
Answer:
don't know man sry
Step-by-step explanation:
Solve the inequality. 5x-6≥9
Answer:
x ≥ 3
Step-by-step explanation:
5x-6≥9
put +6 on both sides to get rid of the -6
5x-6 +6 ≥ 9 +6
5x ≥ 15
x ≥ 3
Answer: x≥3
First, add 6 to both sides.
5x − 6 + 6 ≥ 9 + 6
5x ≥ 15
Then, Divide both sides by 5.
\(\frac{5x}{5} \geq \frac{15}{5}\)
Find (fog)(0).
f(x)
=
6x
g(x) = 3x + 6
(fog)(0)
Answer:
12
Step-by-step explanation:
The functions f(x) and g(x) are defined as f(x) = 6x and g(x) = 3x + 6
fog(x) = f(g(x))
= f(3x + 6)
= 6(4x +2)
6 x 4x = 24x
6 x 2 = 12
fog(x) = 24x + 12
(fog)(0) where x = 0
= 24(0) + 12
= 0 + 12
(fog)(0) = 12
Describe a sequence of two transformations, first a translation and then a reflection, that would map ABC onto MNP. There are many correct answers. Be as specific as possible with both transformations.
Transformation involves changing the position of a shape.
The sequence of transformations is:
Translate triangle ABC 8 units left, and 6 units downReflect the image across the x-axisFrom the graph, the coordinates of triangle ABC are:
\(A = (2,8)\)
\(B = (7,8)\)
\(C = (7,2)\)
Start by translating the above points 8 units left and 6 units down.
The rule of this translation is:
\((x,y) \to (x-8,y-6)\)
So, we have:
\(A' = (-6,2)\)
\(B' = (-1,2)\)
\(C' = (-1,-4)\)
Next, reflect ABC across the x-axis.
The rule of this reflection is:
\((x,y) \to (x,-y)\)
So, we have:
\(A" = (-6,-2)\)
\(B" = (-1,-2)\)
\(C" = (-1,4)\)
From the graph, the coordinates of triangle MNP are:
\(M = (-6,-2)\)
\(N = (-1,-2)\)
\(P = (-1,4)\)
By comparison, the vertices of A"B"C" is the same as the vertices of MNP
Hence, the sequence of transformations is: translate triangle ABC 8 units left, 6 units down and reflect the image across the x-axis
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If I leave at school at 10. 55 a.m and walks home , arriving at noon . How long did I take to arrive home?
Answer:
1 hour and 5 minutes
Step-by-step explanation:
55+5=60 (this takes you to 11:00 o'clock)
plus 1 hour is 12:00 or noon
Hope this helps! :)
1
Chris and Katie were playing The Product Game. Their factor markers were on 9
and 2. Chris decided to move the marker from 2 to 6. Write a numerical expression
to represent his move.
Answer: 9 × 6 = 54
Step-by-step explanation:
In the Product Game, we need to multiply the both number of factor markers.
Chris and Katie were playing The Product Game. Their factor markers were on 9 and 2.
Number = 9 × 2 = 18
Chris decided to move the marker from 2 to 6.
Now, one maker is on 9 and other is on 6. So,
Number = 9 × (2 + 4)
Number = 9 × 6 = 54
Therefore, 9 × 6 = 54 is a numerical expression to represent his move.
4. Create an equation for a 6th degree polynomial that only has the zeros of x=5, -4, -6, 1 with a y-intercept of 3600. Explain how you found your equation.
Since the y-intercept of the polynomial must be 3600, then:
\(p(0)=3600\)Since the only zeroes of the polynomial must be x=5, -4, -6 and 1, then the factors of the polynomial, are:
\(\begin{gathered} (x-5) \\ (x+4) \\ (x+6) \\ (x-1) \end{gathered}\)Let the multiplicity of the factor (x-1) be equal to 3 and let the multiplicity of the rest of the factors to be equal to 1. Then:
\(p(x)=a(x-5)(x+4)(x+6)(x-1)^3\)Where a is a constant. Notice that the degree of that polynomial is 6. Evaluate it at x=0 to find the value of a that makes the y-intercept to be equal to 3600:
\(\begin{gathered} p(0)=a(0-5)(0+4)(0+6)(0-1) \\ =a(-5)(4)(6)(-1) \\ =120a \end{gathered}\)Since p(0)=3600, then:
\(\begin{gathered} 3600=120a \\ \Rightarrow a=\frac{3600}{120} \\ \Rightarrow a=30 \end{gathered}\)Therefore, the following polynomial is a 6th degree polynomial with zeroes at the values of 5, -4, -6 and -1 with a y-intercept equal to 3600:
\(p(x)=30(x-5)(x+4)(x+6)(x-1)^3\)