Answer:
17000 drops in the bottle
Trish is sorting bolts for her home repair business. She has an 8-pound bag of bolts. If each kitchen her team repairs requires
1
5
pound of bolts, how many kitchen can she repair? Joshua solves the problem by finding
8
÷
1
5
=
40
. Melanie solves the problem by finding
8
×
5
=
40
. Use the drop-down menus to explain why Joshua and Melanie are both correct.
Choose...
a whole number by a unit fraction is the same as multiplying a whole number by the
Choose...
of the unit fraction.
Answer:
-Dividing -
a whole number by a unit fraction is the same as multiplying a whole number by the
-denominator-
of the unit fraction.
Answer: dividing for the first choose box and denominator for the second choose box.
Hope this helps!
Please I need a these today
1st blank: 3.684
2nd blank: x= 3.684
PLEASE HELP I KNOW ITS EASY BUT I FORGOT!!!! PLEASE HELP!! Write -3/8 as a decimal.
Answer:
-0.375
Step-by-step explanation:
You can write fractions as equations and solve for a decimal.
-3/8 = -3 ÷ 8
-3 ÷ 8 = -0.375
Answer:
I got you bro
Step-by-step explanation:
-0.38
He equation y = 9. 56x + 495. 35 represents the number of calories, y, consumed in one day based on a person’s weight, x. Jill consumes 1850 calories daily. Jaxon weighs 120 pounds. Which is an accurate comparison?
Jill weighs about 20 pounds more than Jaxon.
Jaxon weighs about 20 pounds more than Jill.
Jill consumes about 20 more calories than Jaxon.
Jaxon consumes about 20 more calories than Jill
The accurate comparison is that Jaxon weighs about 20 pounds more than Jill.
Jill consumes 1850 calories daily, and the equation y = 9.56x + 495.35 represents the number of calories consumed in one day based on a person's weight, x. We need to find the weight of Jaxon. By substituting Jill's calorie consumption (1850) into the equation, we can solve for x:
1850 = 9.56x + 495.35
Simplifying the equation, we have:
9.56x = 1850 - 495.35
9.56x = 1354.65
x ≈ 141.85
Therefore, Jill weighs approximately 141.85 pounds. Since Jaxon weighs 120 pounds, we can compare their weights. Jill weighs about 20 pounds more than Jaxon.
Comparing Jill and Jaxon's weights, we can see that Jill weighs about 20 pounds more than Jaxon. The equation represents the relationship between the number of calories consumed in one day and a person's weight. By solving the equation using Jill's calorie consumption, we find her weight to be approximately 141.85 pounds. In contrast, we are given that Jaxon weighs 120 pounds. By subtracting Jaxon's weight from Jill's weight, we find that Jill weighs about 20 pounds more than Jaxon. This comparison accurately reflects the difference in weight between the two individuals.
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Kristen's financial advisor has given her a list of 8 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this?
The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.
If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:
nPr = n!/{(n - r)!}.
In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.
Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.
Substituting n = 8, and r = 4 in the formula, we get:
8P4 = 8!/{(8 - 4)!}
= 8!/4!
= 5 * 6 * 7 * 8
= 1680.
Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
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A theater is selling children’s tickets at $8 and adult tickets at $18. The theater would like to sell tickets worth a total of $720 for a performance.
Write a linear equation that models the situation.
Answer: let x represent children's tickets and y represent adult's tickets. the equation could be written as 8x + 18y = 720
Step-by-step explanation:
16x2 + 56x + 49 Is this a special product? If yes, what type
Solution
Since
\(16x^2+56x+49=\left(4x+7\right)^2\)Yes, it's a special product.
Its type is a Perfect square
The number of ways six people can be placed in a line for a photo can be determined using the expression 6!. What is the value of 6!? Two of the six people are given responsibilities during the photo shoot. One person holds a sign and the other person points to the sign. The expression StartFraction 6 factorial Over (6 minus 2) factorial EndFraction represents the number of ways the two people can be chosen from the group of six. In how many ways can this happen? In the next photo, three of the people are asked to sit in front of the other people. The expression StartFraction 6 factorial Over (6 minus 3) factorial 3 factorial EndFraction represents the number of ways the group can be chosen. In how many ways can the group be chosen?.
The value of 6! is 720.
The number of ways the two people can be chosen from the group of six is 30 ways.
The number of ways the group can be chosen is 20 ways.
The number of ways the six people can be placed in a line for a photo is calculated as;
\(= 6!\\\\= 6 \times 5 \times 4 \times 3 \times 2 \times 1\\\\= 720 \ ways\)
The number of ways the two people can be chosen from the group of six is calculated;
\(= 6P_2\\\\= \frac{6!}{(6-2)! } \\\\= \frac{6!}{4!} \\\\= \frac{6\times 5 \times 4!}{4!}\\\\= 6\times 5 \\\\= 30 \ ways\)
The number of ways the group can be chosen is calculated as;
\(= 6C_3\\\\= \frac{6!}{(6-3)! \times 3!} \\\\= \frac{6!}{3! \times 3!} \\\\=20 \ ways\)
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Answer:
The answer is 20
Step-by-step explanation:
A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the probability that both will be orange
Answer:
1/4
Step-by-step explanation:
First, add up the marbles:
2 + 9 + 7 = 18
Multiply by 2 because you pick two:
18 × 2 = 36
Simplify:
9/36 = 3/12 = 1/4
Hope this helped.
What is the slope of y = 3? (HOY VUX)
What is the slope of x = 3? (HOY VUX)
Can someone please help me with this I really need help. It’s due tonight
Answer:
12
Step-by-step explanation:
Please mark me as brainlyest
Nov 18, 10:52:11 PM
A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that
are 6 feet in length. How many 12-inch pieces can the dressmaker cut from 10
of these rolls of ribbon?
The graph of a sinusoidal function intersects its midline at (0,-2) and then had a minimum Point at (3pi/2,-7)
Write the formula of the function, where x is entered in radians.
f(x)= ?
Answer:
f(x)=-5sin (1/3x)-2
Step-by-step explanation:
The formula of the function, where x is entered in radians is f(x) = \(5sin(\frac{\pi x}{2})-2\)
What is Sinusoidal function?A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function
Given,
Midline is at (0,-2)
minimum point at \((\frac{3\pi }{2},-7)\)
Therefore, the function is line with amplitude = -2-(-7)=5
No phase shift as intersection at 0.
Vertical shift is -2
Then,
f(x) = \(5sin(\frac{\pi x}{2})-2\)
Hence, The formula of the function, where x is entered in radians is f(x) = \(5sin(\frac{\pi x}{2})-2\)
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8. To make a homemade all-purpose household cleaner, you can mix the
ingredients shown in the table. Samuel has 1 cup of rubbing alcohol
and will use the entire amount. He plans to store the cleaning solution
in containers that each hold a maximum of 6 cups. How many
containers does he Need?
Answer:
Could you link the table?
Step-by-step explanation:
Which of the following measures can be determined by analyzing a dot plot? Select all that apply.rangemeanmodemedian
Given the following question:
First we have the answer the question what is a dot plot?
A dot plot is a number line with points over specific numbers to show a data set. Range, mean, mode, and median are all different numbers. Which means a dot plot can be a place for all of the options. Mean being the final average of a data set. Range being the smallest to largest or the difference between the smallest and largest data set. Mode being the value that appears the most in a data set. Median being the value that seperates the lower half from the higher half.
Your answer is range, mean, mode, and median.
The graph shows the distance Arlene ran on Saturday preparing for a marathon. What is the rate of change and what does it represent?
Answer:
Rate of change = 6 miles per hour
Step-by-step explanation:
Rate of change of the line is represented by the slope of the line.
Formula to get the rate of change is,
m = \(\frac{\triangle y}{\triangle x}\)
From the graph attached,
Given straight line is passing through two points (2, 12) and (4, 24).
Rate of change = \(\frac{y_2-y_2}{x_2-x_1}\)
= \(\frac{24-12}{4-2}\)
= 6
Rate of change of the line = 6 miles per hour
Therefore, rate of change of the graph will define the speed of Arlene.
67×73=1×3(mod 5)show works
Answer
Check Explanation
Explanation
a ≡ b (mod n)
This means a and b have the same remainder when they are divided by n
So, to check if this question works out, we divide what is on the left hand side and what is on the right hand side by what is after the mod.
1) 67 × 73 ≡ 1 × 3 (mod 5)
4891 ≡ 3 (mod 5)
So, to check,
(4891/5) = 978 remainder 1
(3/5) = 0 remainder 3
The remainders are different.
So, this equation is wrong and does not work.
This equation is false.
2) 83¹⁴⁴ ≡ 15¹⁴⁴ (mod 17)
Noting that it is the units digit that determines the remainder
3 raised to the power of a multiple of 4 gives 81 raised to the power of a positive integer
5 raised to power of a multiple of 4 gives 625 raised to the power of a positive integer
So, using these numbers,
83¹⁴⁴ ≡ 15¹⁴⁴ (mod 17)
81 ≡ 625 (mod 17)
(81/17) = 4 remainder 13
(625/17) = 36 remainder 13
The remainders are the same.
So, this equation is correct and it works.
This equation is true.
Hope this Helps!!!
6. (NO CALC) The function f has a Taylor series about x=1 that converges to f(x) for all x in the interval of convergence. It is known that f(1)=1, f′(1)= −½, and the nth derivative of f at x=1 is given byfⁿ(1)=(-1)ⁿ(n-1)!/2ⁿ for n≥2(a) Write the first four nonzero terms and the general term of the Taylor series for f about x=1.
The first four terms are f( x) = 1-1/2(x-1)+1/4(x-1) ²/ 2! - 1/8(x-1) ³/ 3!. The general term of the Taylor series for f( x) about x = 1 is
(- 1) ⁿ\((x-1)^{n}\)/( 2ⁿn).
The Taylor series for f( x) about x = 1 can be written as
f( x) = ∑( n = 0 to ∞) fⁿ( 1)/\(n!^{n}\)
where fⁿ( 1) denotes the utmost derivative of f at x = 1.
Using the given information, we can write the first four nonzero terms of the Taylor series for function f( x) about x = 1 as
f( 1) +f'( 1)(x-1) +f''( 1)(x-1) ²/ 2!+ f'''( 1)(x-1) ³/ 3!............
Substituting f( 1) = 1, f'( 1) = -1/ 2, f''( 1) = 1/4, and f'''( 1) = -1/ 8 in the below equation, we get
f( x) = 1-1/2(x-1)+1/4(x-1) ²/ 2! - 1/8(x-1) ³/ 3!............
The general term of the Taylor series can be attained by substituting the utmost outgrowth of f at x = 1 in the below equation
fⁿ( 1)/\(n!^{n}\)= (- 1) ⁿ( n- 1)!/ 2ⁿn!\((x-1)^{n}\) = (- 1) ⁿ\((x-1)^{n}\)/( 2ⁿn)
thus, the general term of the Taylor series for f( x) about x = 1 is
(- 1) ⁿ\((x-1)^{n}\)/( 2ⁿn)
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You rent an apartment that costs $1600 per month during the first year, but the rent
is set to go up 12.5% per year. What would be the rent of the apartment during the
10th year of living in the apartment? Round to the nnearest tenth
The rent of the apartment during the 10th year can be calculated using the formula: Rent = Initial rent * (1 + rate of increase)^n where "Initial rent" is the rent during the first year, "rate of increase" is the percentage increase in rent per year, and "n" is the number of years.
So, for the 10th year, we have:
M Rent = $1600 * (1 + 12.5%)^10
Rent = $1600 * (1 + 0.125)^10
Rent = $1600 * 2.825
Rent = $4520
Therefore, the rent of the apartment during the 10th year of living in the apartment would be $4520. Rounded to the nearest tenth, the rent would be $4520.0.
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Jackie wants to buy some hair ties that each cost $5.95, and a lip balm that costs $2.15. She has $20. Use the guess, check, and revise strategy to determine the solution to the inequality 5.95h + 2.15 20, where h represents the number of hair ties that Jackie can buy without exceeding her $20.
Answer:
She can buy 3 hair ties
Step-by-step explanation:
5.95x3 =17.85 +2.15 = 20 on the dot
Andrew has three gift boxes with different volumes. He wants to label them
Large, Medium, and Small based on their volumes. Write the appropriate label,
Large, Medium, or Small, under each of the boxes.
(not drawn to scale)
6 ft
331
147
41
334
3
12 ft
You do not have enough information. ex. What does "41" mean? Is it in feet? Inches? Angstroms? Please provide more information.
Answer:
pretty sure it's large, small, medium
Step-by-step explanation:
(Dividing polynomials ick!) Please help I'm failing summer class:)
Answer:
The answer is 9 (D).
Step-by-step explanation:
Hope this helps!
On September 1st there are 5 bacteria in a jar. The population of bacteria doubles each day. How
much bacteria will be there at the end of the month
If its a 28 day month then 671088640
29 days 1342177280
30 days 2684354560
and 31 days 5368709120
This diagram shows the dimensions of a concrete piece used to build a deck.
What is the volume of the concrete piece?
Enter your answer in the box.
Answer:
2200 in³
Step-by-step explanation:
Separate into 2 separate blocks, find the volumes, then add them together:
Block 1:
5 x (10+9) x 8 = 760
Block 2:
8 x 9 x 20 = 1440
Total volume = 760 + 1440 = 2200 in³
i will mark brainlest if its right
14 over 9 divided by 14 over 9
The answer to this math equation is 1 whole. When dividing two equivalent fractions, the answer will always be 1.
cardioid in the first quadrant find the area of the region cut from the first quadrant by the cardioid
The area of the region cut from the first quadrant by the cardioid is 3π/8 +1
A cardioid is a two-dimensional plane figure that has a heart-shaped curve. The equation of cardioid is r = a(1 ± sinθ) .
The area of the polar function can be calculated if the boundary condition that form the reason is given or can be found from the given information now we use the formula using the polar formula of the area as:
\(A = \int\limits^b_a {\frac{r^{2}}{2}} d\theta\)
The Area of the region cut from the first quadrant by cardioid,
\(A = \int\limits^\frac{\pi}{2}_0 {\frac{r^{2}}{2}} d\theta\)
Substituting r = 1 + sin ∅
\(A = \int\limits^\frac{\pi}{2}_0 {\frac{(1+ sin\theta)^{2}}{2}} d\theta\)
Opening square ,
\(A = \frac{1}{2}\int\limits^\frac{\pi}{2}_0 {1 +2sin\theta + sin^{2}\theta d\theta\)
=> \(A = [ \frac{1}{2} (\theta - 2cos\theta + \frac{1}{2} (\theta - \frac{1}{2}sin2\theta))]^\frac{1}{2}_{0}\)
=> 3π / 8 - (-1)
=> 3π/8 +1
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What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km
Answer:
105.5664, or 93 + 4 pi
Step-by-step explanation:
84 + 9 + 4 pi
equals 105.5664, or 93 + 4 pi
Break the shape into common shapes.
12 times 7 (rectangle) = 84
3 times 3 (square) = 9
I really need help ASAP ILL GIVE BRAINLY
Answer: D.
Step-by-step explanation:
You can start out with the form AX = B and solve for matrix X that would yield the answer
Then X = (A^-1)(B)
A = [1 -1]
[1 1]
A^-1 = (1/(1 - (1)(-1)))*[1 1]
[-1 1]
which can be written as (1/2) * [1 1]
[-1 1]
B = [26]
[6]
(A^-1)(B) = (1/2)*[1 1] [6]
[-1 1] [26]
= (1/2)*[32]
[20]
= [16]
[10]
calculate the Area of the shaded region. someone please help!
Answer: 12pi
Step-by-step explanation: 12pi is the answer orrrrrr 37.68 if pi is 3.14
11. Two people are running around an oval track. They leave the starting point together. One completesthe track every 28 minutes. The second completes the track every 35 minutes. How long will it takefor them to both pass the starting point at the same time, if they both continue to run?
ANSWER
140 minutes
EXPLANATION
To find how long will it take for them to both pass the starting point at the same time, if one person completes the track in 28 minutes and the other completes it in 35 minutes, we have to find the lowest common multiple (LCM) of these two numbers.
To find the LCM, we can use the prime factorization method. First, write the prime factors of both numbers,
\(\begin{gathered} 28:2\times2\times7 \\ 35:5\times7 \end{gathered}\)Then, multiply all the prime factors as many times as they occur most often. If a factor occurs the same number of times in both numbers, then we only write it once. In this case,
\(LCM=2\times2\times5\times7=140\)Hence, it will take 140 minutes for both runners to pass the starting point at the same time.