So we go up in 10's. It simply goes like this, 10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200... etc.
Answer:
1 x 10 = 10
2 x 10 = 20
3 x 10 = 30
4 x 10 = 40
5 x 10 = 50
6 x 10 = 60
7 x 10 = 70
8 x 10 = 80
9 x 10 = 90
10 x 10 = 100
11 x 10 = 110
12 x 10 = 120
Step-by-step explanation:
What is the 14th term of the geometric sequence 3,9,27,81,...
Answer:
4782969
Step-by-step explanation:
each sequence has its own rule in this cased it is times 3 you multiply each sequence until you get to the 14th one. therefore you get 4782969 hope this helps.
We are required to find the 14th term of the geometric sequence 3, 9, 27, 81,...
The 14th term of the geometric sequence 3, 9, 27, 81,... is 4,782,969
Given:
3, 9, 27, 81,...
First term, a = 3
Second term;
a × r = 9
3 × r = 9
3r = 9
r = 9/3
r = 3
number of terms, n
nth term = a × r^(n - 1)
14th term = 3 × 3^(14 - 1)
= 3 × 3^13
= 3 × 1,594,323
= 4,782,969
Therefore, the 14th term of the geometric sequence 3, 9, 27, 81,... is 4,782,969
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Plz help this is my last math question I need help with!
Answer:
He buys 8 desks and 6 chairs can i have branliest
Step-by-step explanation:
Set up a system of equations
desks = y chairs = x
x+y=14
125x + 515y = 4870
Eliminate,
-125x -125y = -1750
125x + 515 y = 4870
390 y = 3120
y = 8
substitute in 8
x + 8 = 14
x = 6
Answer:
Step-by-step explanation:
Let number of chairs be x and number of desks be y
Total number of chairs and desks = 14
x + y = 14 --------------(i)
Total cost = $ 4870
125x + 515y = 4870 ------------(ii)
Multiply equation (i) by (-125).
(i)*(-125) -125x - 125y = -1750
(ii) 125x +515y = 4870 {Now add}
390y = 3120
y = 3120/390
y = 8
Plug in value of y in equation 1
x + 8 = 14
x = 14 - 8
x = 6
Number of chairs = 6
Number of desks = 8
Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags.
Answer:
The answer is (Choice C) It is just right.
Step-by-step explanation:
The question is incomplete, so the complete question is below:
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) It is too strong. (Choice B) It is too weak. (Choice C) It is just right.
Now, to find which of the choice is correct.
So, we find first the unit rate of Peggy's iced tea bags per liter:
If, Peggy made a 12-liter batch of iced tea with 90 tea bags.
Then, Peggy would made a 1-liter batch of iced tea with = [tex]\frac{90}{12} =7.5\ tea\ bags.[/tex]
Now, to get the unit rate of Kermit's iced tea bags per liter:
If, Kermit made a 2 liter of iced tea with 15 tea bags.
Then, Kermit would made a 2 liter of iced tea with = [tex]\frac{15}{2} =7.5\ tea\ bags.[/tex]
Thus, the quantity of tea bags per liter is same of both Kermit and Peggy.
Hence, Kermit will think of Peggy's iced tea that it is just right.
Therefore, the answer is (Choice C) It is just right.
Answer:
C
Step-by-step explanation:
5 - (-7) = 5+ ___ write as addition
Subtracting a negative is the same as adding its positive counterpart. Therefore, (5 - (-7)) can be written as (5 + 7), resulting in the answer of 12. So, 5 - (-7) = 5 + 7.
To write the subtraction problem (5 - (-7)) as an addition problem, we can use the rule that subtracting a negative is equivalent to adding its positive counterpart. Therefore: 5 - (-7) = 5 + 7.
In this case, subtracting a negative 7 is the same as adding 7. The result of this addition is 12. So, 5 - (-7) is equal to (5 + 7) and both expressions evaluate to 12.
This concept is fundamental in understanding the operations of addition and subtraction and their relationship to positive and negative numbers.
To rewrite subtraction as addition, change the sign of the number being subtracted and then add it to the other number. In the equation 5 - (-7), this becomes 5 + 7 because we flip the negative sign to a positive.
Explanation:The equation 5 - (-7) can be rewritten as addition by changing the subtraction of a negative number to the addition of a positive one. So, replacing the minus sign with an addition sign, and flipping the sign of the second number from negative to positive yields 5 + 7.
The general rule for subtracting integers is to change the sign of the number being subtracted (the subtrahend) and then proceed with addition. For example, 5 - (+3) = 5 - 3 becomes 5 + (-3) = 2. Another example: subtracting -6 from 2 can be rewritten as 2 - (-6) = 2 + 6 = 8. When handling subtraction, this is how we can always rewrite it as an addition problem.
The following data points represent the yearly salaries of high school cheerleading coaches in Dakota County (in thousands of dollars).
qquad 41,38, 36 , 57, 4341,38,36,57,4341, , 38, , 36, , 57, 43
Find the mean absolute deviation (MAD) of the data set.
_____ thousand dollars
Answer:
Step-by-step explanation:
I think the data is repeated
The given data should be
41, 38, 36, 57, and 43
So, we want to find the absolute mean deviation, absolute here means we will discard the negative sign and make it possible
So, let find the mean of data
X~ = Σx / N
x is the given data
And N is the number of data given
X~ = (41 + 38 + 36 + 57 + 43) / 5
X~ = 215 / 5
X~ = 43
The mean is 43, so we and to find now the data given deviate from the mean.
X....... X-X~.......….|X-X~|
36..... —7............... 7
38..... —5.............. 5
41...... —2............... 2
43....... 0.........., ...0
57...... 14............. 14
So, the sum of the mean deviation is expected to be 0
ΣX-X~ = -7 -5 - 2 + 0 + 14 = 0
As expected
But the sum of the absolute mean is
Σ|X-X~| = 7 + 5 + 2 + 0 + 14 = 28
The mean deviation is given as
M•D = Σ|X-X~| / N
M•D = 28 / 5
The mean absolute deviation is 5.6 thousand dollars
This question is not correct
Correct Question:
The following data points represent the yearly salaries of high school cheer leading coaches in Dakota County (in thousands of dollars). 43, 41, 38, 36 , 57. Find the mean absolute deviation (MAD) of the data set.
Answer:
5.6 thousand dollars
Step-by-step explanation:
Mean Absolute Deviation is mean of or the average of absolute deviation of a set of data from it's central point.
We were given the following sets of data in thousands( the yearly salaries of high school cheer leading coaches)
43, 41, 38, 36, and 57
We would determine the Mean Absolute Deviation in the following steps:
Step 1
The first step is calculate the mean of the salaries
= (43+ 41 + 38+ 36+ 57) ÷ 5
= 215 ÷ 5
= 43
The mean of the salaries is 43 in thousand dollars.
Step 2
The second step would be to find the absolute difference of the values by subtracting the mean of the salaries from each of the salaries of the high school teachers , find the absolute values, after which we would sum up this absolute values together and divide by the number of the observed values
The number of observed values = 5
[|43 - 43| + |41 - 43| + |38- 43| + |36 - 43| + |57- 43| ]÷ 5
= 0 + |- 2|+ |- 5 |+|-7| + |-14| ÷ 5
= (0 + 2+ 5 +7 + 14) ÷ 5
= (28 ÷ 5) in thousand dollars
= 5.6 in thousand dollars
Therefore, the mean absolute deviation (MAD) of the data set in thousand dollars is 5.6.
If MATH is an isosceles trapezoid and the m∠A = 60°, what is the m∠H?
Answer: C, 120°
Step-by-step explanation:
If MATH is an isosceles Trapezoid, and the measurement of Angle A is 60°, then the Measurement of Angle M would be equivalent to the Measurement of Angle A. Then, using the Same Side Interior Theorem, the Measurement of Angle H would be equal to 180°- 60° (The Measurement of Angle M), which is equal to 120°, C.
Answer:
C 120°
Step-by-step explanation:
In an isosceles trapezoid, base angles are congruent.
[tex]\therefore m \angle A = m\angle M= 60°..(1)\\
\&\: m \angle T = m\angle H..(2)\\
m\angle M +m\angle A + m\angle T +m\angle H= 360°\\
\therefore 60° + 60° +m\angle H +m\angle H= 360°\\
[From\: equations\: (1)\: \& \:(2)] \\
\therefore 120° +2m \angle H = 360°\\
\therefore 2m \angle H = 360°-120°\\
\therefore 2m \angle H = 240°\\
\therefore m \angle H = \frac{240°} {2} \\
\huge\purple {\boxed {\therefore m \angle H = 120°}} [/tex]
The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did the number of calories increase?
Answer: The number of calories increased by 20%.
Step-by-step explanation:
Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.
Previous number of calories he used to burn = 1,500
Increase in calories = 1800-1500=300
Now , the percent increase in calories = [tex]\dfrac{\text{Increase in calories}}{\text{previous calories}}\times100[/tex]
[tex]=\dfrac{300}{1500}\times100=20\%[/tex]
Hence , the number of calories increased by 20%.
Answer:
20%
Step-by-step explanation:
A recipe for a apple cider calls for 4 cups of apple and 3 cups of water. Witch equation can be used to find x, the percent of a apple juice in the recipe?
A.4/3=x/100
B.3/4=x/100
C.7/3=100/x
D.7/4=100/x
Idk can ya help me I think is b but am not sure what do you think?
The percent of apple juice in the recipe is D.7/4=100/x
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that Ratio of apple juice to water is 4 : 3 = Y i.e 4+ 3 = 7
To find the exact percent of apple juice used in the recipe, we will use the ratio of juice to water provided, given Y as any amount of apple cider.
The equation 4/7 × Y = amount of apple juice.
for percentage, 4/7 × Y × 100 = amount of apple juice.
In 200ml apple cider, the amount of apple juice presented as;
= 4/7 × 200 = 114.2ml of juice
To make up to 00ml cider, add (200-114.2) ml of water.
Hence, the percent of apple juice in the recipe is D.7/4=100/x
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Check all that apply
Answer:
The first and last option.
Step-by-step explanation:
This is true because in the first chart, different y values correspond to different x values. In the other chart and option, the same y value corresponded to multiple x values - when this happens, it is not a function. This is why the first option is a function. In the last option, you gave an equation to a parabola. When graphed, the parabola opens downwards. Only parabolas that open upwards or downwards are considered functions. Parabolas that open left or right are not considered parabolas. You can test whether or not a parabola is considered a function by conducting the "Vertical Line Test."
Answer:
To determine if they are functions or not, each y value needs to have only one x value. There should never be 2 values with the same x.
The first one is a function.
The second one is not a function because there are two coordinates that have -1.
The third on is not a function because there are two of them that have 0.
The fourth one is a function because when listing the inputs and outputs, there are different x values for each y value.
Hope this helps ;)
Which measures are $1 greater for Group B than for Group A?
the median and the mode
the mean and the range
the mean and the median
the mode and the range
Answer: C
the mean and the median
Step-by-step explanation:
From the attached table,
The range of group A = 5 - 0 = 5
The range of group B = 4 - 1 = 3
Difference in range is not equal to $1
The mode of A = 1
The mode of B = 3
Difference in mode is not equal to $1
The median of A = (1 + 2)/2 = 1.5
The median of B = 3
Difference = 3 - 1.5 = $1.5
The mean of A = 16/15 = 1.07
The mean of B = 40/15 = 2.67
The difference = $1.6
From the above analysis, we can therefore conclude that non of the measures are $1 greater for Group B than for Group A
The best option among the options is
the mean and the median
Answer:
the right answer is c. mean and the median
Step-by-step explanation:
because i took the test and got the answer right
Place a number in each box so that each equation is true and each equation has at least one negative number. Choose a number single-digit number starting with the positive number, negative number - not ZERO 2^_x2^_=2^0
Answer:
x=1, y=-1
Step-by-step explanation:
Given the equation: [tex]2^{x}X2^{y}=2^0[/tex]
where x and y are the blank boxes.
We want to find
A positive value of xA negative value of yThat makes the equation true.
If x=1, y=-1
[tex]2^{1}X2^{-1}=2^0[/tex]
This can be confirmed using addition law of indices([tex]a^x+a^y=a^{x+y}[/tex])
[tex]2^{1}X2^{-1}=2^{1+(-1)}=2^{1-1}=2^0[/tex]
In general, any pair of a number and its negative value will satisfy the equality.a. -5
b. -2
c. -3
Let's fill in the blanks for each equation:
a.[tex]\( 2^5 \times 2^{(-5)} = 2^0 \)[/tex]
b. [tex]\( 2^3 / 2^5 = 2^{(-2)} \)[/tex]
c. [tex]\( 2^{(-3)} \times 5^{(-3)} = 10^{(-3)} \)[/tex]
For each equation:
- In (a), [tex]\( 2^{(-5)} = \frac{1}{32} \)[/tex], which is a negative exponent.
- In (b),[tex]\( 2^{(-2)} = \frac{1}{4} \)[/tex], another negative exponent.
- In (c), [tex]\( 10^{(-3)} = \frac{1}{1000} \)[/tex], a negative exponent.
So, the numbers to fill in the blanks are:
a. -5
b. -2
c. -3
Complete question
Place a number in each box so that each equation is true and each equation has at least one negative number.
a. 2^5* 2^(□)=2^0
b. 2^3/2^5 =2^(□)
C. 2^(-3)* 5^(-3)=10^(□)
The polygons in each pair are similar. Find the missing side length.
Answer:
12
Step-by-step explanation:
If you flip the polygon on the right so it looks like the polygon on the left, the scale factor for the small polygon to the big polygon is 32/40 or 4/5.
Now use that scale factor, 4/5, to find the missing length
4/5 = ?/15
5*3 = 15 so 4*3 = ?
? = 12
The missing side of the given polygon is 12 units.
What is Polygon?
In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
If you flip the polygon on the right so it looks like the polygon on the left, the scale factor for the small polygon to the big polygon is 32/40 or 4/5.
Let x be the missing side of the polygon.
Now use that scale factor, 4/5, to find the missing length.
4/5 = x/15
5*3 = 15 so 4*3 = x
x = 12
therefore, 12 is the missing side of the given polygon.
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The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. Brandon is trying to take a nap, and he can barely hear his neighbor mowing the lawn. The sound intensity level that Brandon can hear is 10-10. Ahmad, Brandon’s neighbor that lives across the street, is mowing the lawn, and the sound intensity level of the mower is 10-4. How does Brandon’s sound intensity level compare to Ahmad’s mower?
Answer: A Brandon’s sound intensity is 1/4 the level of ahmads mower
Step-by-step explanation:
Brandon's audible sound level is 60 decibels less than the sound intensity level of Ahmad's mower. This is because the sound intensity from the mower is one million times (or 10^6 times) greater than the sound intensity level that Brandon can hear.
Explanation:The sound intensity, I, is given in terms of decibels, Db, as defined in the formula L = 10 log (I/I0). Here, I0 = 10-12 watts per square meter is the least intense sound a human ear can hear. Now, to compare the sound intensity levels for Brandon and Ahmad's mower, we need to look at their respective sound intensities.
Brandon hears a sound level of 10-10 watts per square meter, and Ahmad's mower generates a sound intensity of 10-4 watts per square meter.
The logarithmic scale used in calculating decibels means that for every increase in 10 times the sound intensity, the loudness increases by 10 decibels.
So, since Ahmad's mower generates a sound that is 106 (=10-4/10-10) times more intense than Brandon's audible level, it means that the mower is 60 decibels louder (since 10*6 = 60) than the sound Brandon can hear.
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Simplify the expression 0.8y-1.5-0.2y+3.6
Answer:
0.6y+2.1
Step-by-step explanation:
In this question, it is required to simplify the given expression i.e. 0.8y-1.5-0.2y+3.6. It can be done by combining like terms together.
Here y is a variable. We can combine y terms together such that we get :
[tex]=(0.8y-0.2y)-1.5+3.6\\\\=0.6y+2.1[/tex]
Hence, the simplified expression is 0.6y+2.1
What is the arc measure of CD in degrees?
в
с
(20k + 4)
D
р
(33k — 9)°
,
Answer:64
Step-by-step explanation:
There were 34 balloons at the beginning of a party. By the end of the party, m of them had popped. Using ,m write an expression for the number of balloons that were left.
Answer:
34-m
Step-by-step explanation:
BRAINLIEST PLZ, ITS RIGHT IM AN EXPERT
The school wants to order a new countertop for the teacher's lounge. The shape of the countertop that they are replacing is shown below. A countertop can be broken into 2 rectangles. 1 rectangle has a base of 70 inches and height of 20 inches. The other rectangle has a base of 20 inches and height of 30 inches. If the new countertop costs $0.75 per square inch, what is the price of the replacement countertop? $1,500 $1,800 $2,000 $2,400
Answer:A.) 1,500
Step-by-step explanation:
Answer:
1500
Step-by-step explanation:
What is the volume of this rectangular prism?
A rectangular prism with a length of 6 and one-fourth foot, a width of 14 feet, and a height of 3 feet.
87 and one-half feet cubed a
131 and one-fourth feet cubed b
252 feet cubed c
262 and one-half feet cubed d
Mark this and return
Answer:
262 1/2 cubic feet
Step-by-step explanation:
The volume of a prism is (length)(width)(height).
Here we have
V = (6 1/4 ft)(14 ft)(3 ft)
Converting 6 1/4 ft to an improper fraction, we get 25/4.
Then the above product is V = (25 ft/4)(14 ft)(3 ft) = 262 1/2 cubic feet
The volume of the rectangular prism is 262.5 cubic feet. Thus, the correct option is D.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,
V = L x W x H
A rectangular prism with a length of 6 and one-fourth feet, a width of 14 feet, and a height of 3 feet. Then the volume of the rectangular prism is calculated as,
V = (6 + 1/4) x (14) x (3)
V = 25/4 x 42
V = 1050/4
V = 262 + 1/2 cubic feet
V = 262.5 cubic feet
Thus, the correct option is D.
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Can any one please Help with 4
Answer: i believe they are compared to knights
Rewrite the following equation in logarithmic form:
16 = 8^4/3
Answer:
Log8(16)=4/3
Step-by-step explanation:
LogA(B) =C is same thing as A^C=B every single time
The given equation 16 = 8^4/3 can be written in logarithmic form as log8(16) = 4/3.
Explanation:The given equation, 16 = 8^4/3, can be rewritten in logarithmic form as log8(16) = 4/3.
In logarithmic form, the base (8) becomes the subscript of the logarithm, the number being raised to the power (16) becomes the argument of the logarithm, and the result of the exponentiation (4/3) becomes the value of the logarithm.
Therefore, the equation 16 = 8^4/3 can be written as the logarithmic equation log8(16) = 4/3.
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THREE FRIENDS WENT ON A TRIP TO THE STRIP OF LAS VEGAS. THE RATES FOR ROOMS IN THE SUMMER ARE USUALLY PRETTY INEXPENSIVE. THE THREE GOT A ROOM AT THE STRATOSPHERE FOR $60(all taxes and Resort fees included), SO THEY EACH PAID $20 PER PERSON AND WENT UP TO THE ROOM. AS THEY WERE UNPACKING, THE BELLHOP KNOCKED ON THE DOOR AND TOLD THEM THAT THE FRONT DESK SAID THE ROOM WAS ONLY SUPPOSED TO BE $55. SO HE HAD FIVE ONE DOLLAR BILLS TO GIVE BACK TO ONE OF THE FRIENDS. THAT FRIEND SUGGESTED THAT EACH GET $1, AND THE BELLHOP KEEP THE OTHER $2 AS AS TIP. SO, THAT IS WHAT THEY DID, AND THE BELLHOP LEFT. THEN ONE OF THE OTHER BUDDIES SAID, HOLD ON A MINUTE... WE ALL PAID $19 EACH FOR THE ROOM, SO, 3 X $19 = $57. AND WE GAVE THE BELLHOP $2, WHY DOESN'T IT ADD UP TO $60, SO WHAT'S UP? WHAT HAPPENED TO THE MISSING BUCK???
Answer:
$1 is a missing due to the addition of unrelated amounts.
$(20 - 1)×3 + $2
Can never be equal to
$20 × 3
Step-by-step explanation:
The statement in a nut-shell is
- The three friends paid $20 each initially, to make $60.
- $1 each was returned to them, so that they reduced the expenses, and paid $19 each, to make $57.
- They tipped a man $2.
WHY IS $57 + $2 ≠ $60?
That was so, because the amounts that were added weren't related.
If their total spending was what they wanted to calculate, it should have included the amount in the receipt of $55 payment received from the hotel.
The right calculation should have been:
$55 payment to the hotel
+
$3 change the three friends received ($1 each)
+
$2 tip they gave.
=
$60
You are painting a rectangular wall with length 5X to the second power seat and with 12 X feet. There is a rectangular door that measures X feet by 2 feet that will not be painted. What is the area of the wall that is to be painted? Write your answer in factored form
Answer:
It looks like you need to find the area of the wall and subtract the area of the door
(5x2 ∗ 12x) - (x ∗2x)
Simplify each term in the parentheses
60x3 - 2x2
Then we can factor that expression using the greatest common factor.
The GCF is 2x2 so we divide both terms by 2x2
2x2(30x - 1)
Step-by-step explanation:
3.2.PS-31 Jason has 26 strawberry scones and 65 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of strawberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can fill? Explain how you know.
Answer:
The answer is 13
Step-by-step explanation:
To find this we have find greatest common factor of 26 and 65 which turns out to be 13
To prove this answer we divide the number of scones to 13
26/13=2 scones of strawberry in each bag
65/13=5 scones of blackberry in each bag
2 and 5 will be found in each of the 13 bags.
Hope it helped.
The required greatest number of bags Jason can fill is 13.
Given as Jason has 26 strawberry scones and 65 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of strawberry scones and an equal number of blackberry scones.
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
strawberry scones = 26
blackberry scones = 65
Taking the greatest common factor for the number of bags that can be filled with scones,
HCF [26, 65] = 13
Thus, the required the greatest number of bags Jason can fill is 13.
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The graph of a hyperbola has two disconnected parts called
A hyperbola is simply an open curve that has two branches.
The disconnected parts of the graph of the hyperbola are the branches.
See attachment for an illustration of an hyperbola.
From the graph, we have the following highlights.
The graph is disconnected on two sides.These two sides face opposite sidesThese two sides extend in both directions.The opposite sides (and disconnected parts) are the branch of the hyperbola
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the most efficient first step in the process to factor out the trinomial 2x3-18x2+40x is: A) Factor out -1 B) Factor out 2x C) Factor out (x-5) D) Factor out 2
Answer:
B) Factor out 2x
Step-by-step explanation:
Final answer:
The most efficient first step in factoring the trinomial 2x³ - 18x² + 40x is to factor out the greatest common factor, which is 2x. Therefore, the correct option is B.
Explanation:
The most efficient first step in factoring the trinomial 2x³ - 18x² + 40x is to factor out the greatest common factor that appears in each term of the trinomial. Looking at the coefficients and the variable parts, we can see that each term is divisible by 2x. Therefore, the correct answer is B) Factor out 2x. This is the most efficient first step because it simplifies the trinomial into a binomial multiplied by the common factor, making the remaining factoring process easier.
what is the hypotenuse
Answer:
c= I think its 112.5 but its probably wrong
Step-by-step explanation:
its the longest side on a right angled triangle
Answer:
15 miles.
Step-by-step explanation:
Since this is a right triangle, you have to follow the Pythagorean Theorem to solve this problem. The 2 sides-12 and 9 miles- are the known sides, and we have to find what is the value of c. The first Pythagorean Triplet(It is the pythagorean theorem, it just the triplets) is 3,4,5. If you multiple each of the numbers of any number, you will get another triplet. So, if you multiple 3,4, and 5 by 3, you will get 9, 12, and 15.
-100 + (n − 2)2 = 149.
Answer:
Simplify
Please mark my answer as brainliest so that I can level up!!!!
Step-by-step explanation:
(n-2)2=249
n-2=124.5
n=126.5
A business owner collected data on the people working for her company. She determined the average number of minutes each employee spent on breaks during an average workday. The data, broken up by gender, is shown below.
A box plot titled Number of Minutes Women Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 54, and the box ranges from 34 to 50. A line divides the box at 48.
Number of Minutes Women Spend on Breaks
A box plot titled Number of Minutes Men Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 68, and the box ranges from 36 to 60. A line divides the box at 48.
Number of Minutes Men Spend on Breaks
The business owner uses the median and IQR to determine the center and variability of the data sets. Which best describes the comparison?
The comparison would be more accurate using the mean and MAD because one of the graphs is symmetric.
The comparison would be more accurate using the mean and MAD because the median of both data sets is the same.
The comparison using median and IQR is best because one of the graphs is not symmetrical.
The comparison using median and IQR is best because the median is greater than the IQR for both data sets.
Answer:
The answer is D
Step-by-step explanation:
Hope this helps
Answer:
The answer is D.
Step-by-step explanation:
I took the test.
Let v⃗ 1=⎡⎣⎢⎢⎢0.50.50.50.5⎤⎦⎥⎥⎥, v⃗ 2=⎡⎣⎢⎢⎢0.50.5−0.5−0.5⎤⎦⎥⎥⎥, v⃗ 3=⎡⎣⎢⎢⎢0.5−0.5−0.50.5⎤⎦⎥⎥⎥. v→1=[0.50.50.50.5], v→2=[0.50.5−0.5−0.5], v→3=[0.5−0.5−0.50.5]. find a vector v⃗ 4v→4 in r4r4 such that the vectors v⃗ 1v→1, v⃗ 2v→2, v⃗ 3v→3, and v⃗ 4v→4 are orthonormal.
To find a fourth vector v₄ that is orthonormal with vectors v₁, v₂, and v₃, you must find the values of v₄ such that the dot product of v₄ and each other vector is zero and v₄'s magnitude is one. This results in a system of linear equations. Solving this system will give you the components of vector v₄.
Explanation:Given that the vectors v₁=[0.50.50.50.5], v₂=[0.50.5−0.5−0.5], and v₃=[0.5−0.5−0.50.5] are orthonormal, we need to find a fourth vector v₄ in R⁴ such that the set of these four vectors are also orthonormal. In an orthonormal set of vectors, each vector has a length (or magnitude) of one, and the dot product of each pair of different vectors is zero, indicating they are orthogonal or perpendicular to each other.
By inspection, we can see that the given vectors v₁, v₂, and v₃ already satisfy these conditions. So, the challenge is to find v₄ such that its dot product with each of the other three vectors is zero and its magnitude is one. Let's denote v₄ as [a, b, c, d].
Setting the dot product of v₄ and the other three vectors to zero gives the set of equations: 0.5a + 0.5b + 0.5c + 0.5d = 0, 0.5a + 0.5b - 0.5c - 0.5d = 0, and 0.5a - 0.5b - 0.5c + 0.5d = 0. Furthermore, to satisfy the condition that the magnitude of v₄ is one, we have the equation a² + b² + c² + d² = 1.
Solving these simultaneous equations will give the components of the vector v₄ that is orthogonal to v₁, v₂, and v₃ and has a magnitude of one, thus completing the orthonormal set.
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Tara combines 7.49 ounces of strawberries with 6.26 ounces of blueberries to make fruit bowls. She pours the fruit equally into 4 bowls, and has 0.43 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
3.33 ounces in each bowl
Step-by-step explanation:
7.49 + 6.26 = 13.75
subtract 0.43 and that equals 13.32
13.32 ÷ 4 = 3.33
I hope this helped :/
Tara has 3.33 ounces of fruit in each bowl. This is obtained by first adding and then subtracting the weight of strawberries, blueberries, and leftover fruit, followed by dividing by the number of bowls.
Explanation:We first add the weight of the strawberries and blueberries together to get the total fruit weight:
7.49 ounces (strawberries) + 6.26 ounces (blueberries) = 13.75 ounces (total fruit)
We then subtract the leftover fruit from the total:
13.75 ounces (total fruit) - 0.43 ounces (leftover fruit) = 13.32 ounces (fruit used in bowls)
Finally, we divide the total weight of the fruit used in the bowls by the number of bowls to find out how much fruit is in each bowl:
13.32 ounces / 4 bowls = 3.33 ounces per bowl
Learn more about Weight distribution here:https://brainly.com/question/31878218
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