Which expression has the most number of significant figures?
A. 190
B. 1.8
C. 26
D. 206
Answers
190 has 2 sig figs
1.8 has 2 sig figs
26 has 2 sig figs
206 has 3 sig figs
thus, the answer is 206
Related Questions
Find the Nth term of the following sequence...
7, 27, 47, 67, .....
Answers
Explicit formula for arithmetic series is:
[tex]A_n = A_1 + d(n-1)[/tex]
d =20
a1 = 7
an=20n-13
The latest demand equation for your Yoda vs. Alien T-shirts is given by: q = −40x + 800 where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $400 per week for use of their facilities, and the T-shirts cost you $4 each. Find the weekly cost as a function of the unit price x. ...?
Answers
The weekly cost as a function of the unit price x can be calculated by subtracting the revenue from the total cost. The revenue is given by the demand equation q = -40x + 800, and the total cost is the sum of the fixed cost and the variable cost. Therefore, the weekly cost as a function of the unit price x is -160x + 3600.
The weekly cost as a function of the unit price x can be calculated by subtracting the revenue from the total cost.
Revenue is given by the demand equation q = -40x + 800, where q is the number of shirts sold at price x.
Total cost is the sum of the fixed cost and the variable cost. The fixed cost is $400 per week for use of the facilities, and the variable cost is $4 per shirt.
Therefore, the weekly cost as a function of the unit price x is given by:
Cost(x) = 400 + 4q = 400 + 4(-40x + 800) = 400 - 160x + 3200 = -160x + 3600
So, the weekly cost as a function of the unit price x is -160x + 3600.
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Factor completely 4x2 – 8x – 60
Answer
(4x – 20)(x + 3)
4(x – 1)(x + 15)
4(x – 5)(x + 3)
(4x – 4)(x + 15) ...?
Answers
Final answer:
To factor the expression 4x² − 8x − 60 completely, factor out the greatest common factor of 4, then factor the resulting quadratic expression, which results in C. 4(x − 5)(x + 3).
Explanation:
The question asks you to factor completely the quadratic expression [tex]4x^2 - 8x - 60[/tex]To factor this expression, first, look for any common factors among the terms. Here, the common factor is 4. Factoring out the 4 gives you [tex]4(x^2 - 2x - 15).[/tex]Next, we factor the quadratic expression within the parentheses.
We look for two numbers that multiply to give − 15 (the constant term) and add to give − 2 (the coefficient of x). These numbers are − 5 and + 3, so the expression factors further into 4(x − 5)(x + 3).
The completely factored form of the quadratic expression [tex]4x^2 - 8x - 60[/tex] is C. 4(x − 5)(x + 3).
Widget company made 3600 widgets in four hours. They made the same number of widgets in each hour. How many widgets did the company make in one hour?
Answers
write 2.18 as a mixed number in simplest form
Answers
So, your final answer is 2 9/50
Hope this helps!
The decimal number 2.18 can be written as the mixed number 2 9/50, considering that .18 is equivalent to the fraction 18/100, which simplifies to 9/50.
Explanation:The number 2.18 is not technically a mixed number, but it can be written in a format similar to a mixed number. A mixed number is defined as a number that includes both a whole number and a proper fraction. In this case, the whole number is 2 and the decimal .18 could be viewed as a type of fraction. If we want to express .18 as a fraction, we can convert it to 18/100. This fraction, however, can be further simplified to 9/50 by dividing both the numerator and the denominator by 2. Therefore, we could write 2.18 as the mixed number 2 9/50.
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Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2 -1.3x+9.972, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? ...?
Answers
0 = x -1.3
x= = 1.3
0.3 cycles cannot be built, so the company should make 1 bicycle to minimize cost.
Find the Solution of n/2-11=3 if the replacment set is {26, 28, 29, 30, 31}
Answers
- -11 = 3
2
wouldn't n=26? because 26 divided by 2 is 13 then subtract 11 and you get 3
P=2L+2W Solve the formula for L
Answers
Take 2 as a common on RHS.,
P = 2(L + W)
P/2 = L + W
L = P/2 - W
Hope this helps!
Which of the following represents the graph of f(x) = 2x + 2?
Answers
Answer with explanation:
The given function is :
[tex]y= f(x)=2^x+2[/tex]
To plot the graph of this function , we find x, for different integral values of y and x for different integral values of y and plot these points in x y plane.
x 0 1 2 3
y 3 4 6 10
Join these points to get required curve.
a soccer player has made 3 of his last 24 shots on goal, or 12.5%. How many consecutive goals does he need to raise his shots-on-goal average to at least 20%?
Answers
The player needs to score at least 3 consecutive goals to raise his shots-on-goal percentage to at least 20%.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's first calculate how many total shots-on-goal the player has attempted so far:
Total shots-on-goal attempted = 24
Total goals scored = 3
Shots-on-goal percentage.
= (Total goals scored / Total shots-on-goal attempted) x 100%
Shots-on-goal percentage = (3 / 24) x 100% = 12.5%
Now, let's assume that the player scores x consecutive goals in his next x consecutive shots-on-goal.
Therefore, his new total goals scored will be:
New total goals scored = 3 + x
His new shots-on-goal percentage will be at least 20%:
New shots-on-goal percentage.
= (New total goals scored / New total shots-on-goal attempted) x 100%
≥20%
Substituting the values, we get:
(New total goals scored / (24 + x)) x 100% ≥ 20%
Simplifying and solving for x:
(New total goals scored / (24 + x)) ≥ 0.2
New total goals scored ≥ 0.2 (24 + x)
3 + x ≥ 4.8 + 0.2x
0.8x ≥ 1.8
x ≥ 2.25
Therefore,
The player needs to score at least 3 consecutive goals to raise his shots-on-goal percentage to at least 20%.
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Solve the systems of equations 6x+3y=9 2x+3y=1
Answers
The goal is to cancel out one of the variables in order to easily solve for the other variable.
Do this by changing the equations so that the coefficients of either x or y add up to 0.
Notice the coefficients of y are 3 and 3, if we make one of them negative then they add up to 0. 3+ (-3) = 0
Multiply 2nd equation by -1.
6x +3y = 9
-2x -3y = -1
__________
4x +0y = 8
Solve for x
4x = 8
x = 8/4 = 2
Plug x=2 back into one of original equations to find y.
---> 2(2) + 3y = 1
---> 4 + 3y = 1
---> 3y = -3
---> y = -1
Therefore solution is (2,-1)
To solve the given system of linear equations, subtract one equation from the other to eliminate the y-variable, then solve for x and substitute back to find y. The solution is x = 2, y = -1.
Explanation:To solve the system of equations 6x + 3y = 9 and 2x + 3y = 1, we can use the subtraction method. We want to find the values of x and y that satisfy both equations simultaneously. Observing that both equations have the term 3y, we can subtract the second equation from the first to eliminate the y-terms:
Subtract the second equation from the first: (6x + 3y) - (2x + 3y) = 9 - 1.Simplify the subtraction: 4x = 8.Divide both sides by 4 to solve for x: x = 2.Substitute x back into one of the original equations to solve for y: 2(2) + 3y = 1.Solve for y: 4 + 3y = 1 --> 3y = -3 --> y = -1.The solution to the system of equations is x = 2, y = -1.
justin has 6 bags of dog food his dogs eat 3/4 bag each day. how long will his dog food last
Answers
The graph of f(x) = 6(0.25)x and its reflection across the y-axis, g(x), are shown.
What is the domain of g(x)?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers greater than or equal to 0
Answers
The correct answer is:
a. all real numbers
When we reflect a function across the y-axis, the x-values change their signs. For the function [tex]\( f(x) = 6(0.25)^x \)[/tex], the domain consists of all real numbers since the function is defined for all real values of x.
When we reflect this function across the y-axis to get g(x), the domain of g(x) remains the same as the original function f(x). This is because reflecting across the y-axis does not affect the x-values for which the function is defined.
So, the correct answer is:
a. all real numbers
Emily is three years older than twice her sister Mary’s age. The sum of their ages is less than 30.
Let x represent Mary's age.
Which inequality represents Mary’s possible age?
A. 0 < x < / = 9
B. 0 < x < / = 18
C. 0 < x < 18
D. 0 < x < 9
Answers
2x+3+x<30
3x<27
x<9
The answer would be D.
List the integers between the square root of 15 and the square root of 48 ?
Answers
√ 15 = ≈ 4
√48 = ≈ 7
4 <x <7
x = 5,6
Write 6% as a decimal.
Answers
how would you write 2.04 in words
Answers
4 is in the hundredths place
0 is in the tenths place
You would say this like this:
Two and four hundreths
I hope this helps
Nadia wants to fill her rectangular fish tank with water. The fish tank measures 2 ft x 1 ft x 1.5 ft. The water level in her fish tank needs to be at least 0.25 ft from the top. She uses a bucket that hold 1.25 ft^3 of water. How many buckets of water does Nadia need to fill the fish tank?
Answers
1.5-0.25=1.25
Next we multiply the length, width, and new height in order to find the volume
2*1*1.25=2.5ft^3
We divide this by the volume of water the bucket can hold
2.5/1.25=2
Thus, we need 2 buckets of water in order to fill the tank
Nadia needs 2 buckets of water to fill the fish tank.
Explanation:To calculate the volume of water needed to fill the fish tank, we need to find the volume of the tank and subtract the volume of the empty space. The volume of the tank is 2 ft x 1 ft x 1.5 ft = 3 ft³. The volume of the empty space is 2 ft x 1 ft x 0.25 ft = 0.5 ft³. Therefore, the volume of water needed is 3 ft³ - 0.5 ft³ = 2.5 ft³.
Next, we divide the volume of water needed by the volume of water in each bucket to find the number of buckets needed. 2.5 ft³ divided by 1.25 ft³/bucket = 2 buckets. Therefore, Nadia needs 2 buckets of water to fill the fish tank.
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The price of an item has been reduced by 70% . The original price was $60 . What is the price of the item now?
Answers
60*0.70 = 42
So, after discount, it would be: $60 - $42 = $18
So, your final answer is $18
Hope this helps!
Final answer:
The original price of the item was $60, and after a 70% reduction, the new price is $18.
Explanation:
The original price of an item was $60. After being reduced by 70%, we need to calculate what the new price will be. We can calculate the amount of discount by multiplying 70% with the original price, which is $60.
To find the discount amount: $60 × 0.70 = $42
Now, subtract the discount amount from the original price to find the new price: $60 - $42 = $18.
Therefore, after a 70% reduction, the new price of the item is $18.
Mark can make 42 birdays cakes in 7 days how many birthday cakes can mark make in 5 days?
Answers
6*5=30
Answer:
30
Step-by-step explanation:
Solve the given differential equation dN/dt=kN, (k=constant) ...?
Answers
Round 24.99 to the nearest tenth
Answers
24.99 rounded to the nearest tenth is 25.0.
To round 24.99 to the nearest tenth, we need to look at the digit in the hundredths place. The number 24.99 has a 9 in the tenths place and a 9 in the hundredths place.
If the hundredths place is 5 or higher, we round up the tenths place by 1.If the hundredths place is less than 5, we leave the tenths place as is.Since the hundredths place in 24.99 is 9 (which is higher than 5), we round up the tenths place from 9 to the next whole number which is 10, and it causes the digit in the ones place to increase by 1.
Therefore, 24.99 rounded to the nearest tenth is 25.0.
What is the common difference d of the sequence?
9, −8, −25, −42, −59, ...
d =
Answers
So, your final answer is -17
Hope this helps!
The two triangles below are similar. What is the similarity ratio of ΔABC to ΔXYZ?
1:2
2:1
3:2
2:3
Answers
To find the similarity ratio of ΔABC to ΔXYZ, compare the corresponding sides of the triangles. The ratio will be one of the named proportions based on the specific measurements of the triangles, which are not provided in the question.
Explanation:The question pertains to finding the similarity ratio of two similar triangles. The similarity ratio of triangles is the ratio of any two corresponding lengths in the triangles. This question specifically asks for the ratio of triangle ΔABC to triangle ΔXYZ. Without the specific lengths provided, a general solution is to compare the corresponding sides of the triangles. For instance, if the length of side AB in ΔABC is twice the length of side XY in ΔXYZ, then the similarity ratio would be 2:1. If it was the other way around, the ratio would be 1:2. Similarly, if AB was three halves the length of XY, the ratio would be 3:2, and if AB was two thirds the length of XY, the ratio would be 2:3. The correct ratio would be one of the options given based on the specific lengths provided in the problem, which are not included in the question as stated.
Final answer:
Without specific side lengths, it's impossible to provide the similarity ratio of ΔABC to ΔXYZ. Additional measures of corresponding sides are needed for such a calculation.
Explanation:
To determine the similarity ratio of two similar triangles, you need to compare the lengths of corresponding sides. However, in the provided question, no specific measurements for the triangles are given, so it is not possible to calculate the exact similarity ratio of ΔABC to ΔXYZ. We would need additional information, such as the lengths of corresponding sides from both triangles, to be able to determine the correct ratio.
The process would involve dividing the length of a side from ΔABC by the length of the corresponding side from ΔXYZ. For instance, if side AB of ΔABC measures 6 cm and the corresponding side XY of ΔXYZ measures 3 cm, then the similarity ratio is 6:3 or simplified as 2:1.
Solve 2(3a² - 1) - 6a = 5a
Answers
There are 13 fish in an aquarium. Seven of the fish are guppies. How many non-guppies are in the aquarium? A. The number of guppies. B. The number of non-guppies. C. The total number of fish.
Answers
Final answer:
To find the number of non-guppies in the aquarium, subtract the number of guppies (7) from the total number of fish (13), which equals 6 non-guppy fish.
Explanation:
The student's question requires basic arithmetic to solve a subtraction problem within a real-world context of counting fish in an aquarium. Given that there are 13 fish in an aquarium and 7 are guppies, we need to find the number of non-guppies. The total number of non-guppies can be found by subtracting the number of guppies from the total number of fish.
Let's perform the calculation:
Total number of fish in the aquarium = 13
Number of guppy fish = 7
Subtract the number of guppy fish from the total number of fish to find the number of non-guppy fish. 13 (total number of fish) - 7 (number of guppies) = 6
Therefore, there are 6 non-guppie fish in the aquarium.
a landscaper estimates that a set of plants can be installed in six hours by 12 workers the landscaper wants to finish a set of plants in 4 hours assuming that the variables are inversely related how many workers should the landscaper bring to the job
Answers
What third congruence do you need to prove that ΔADB ΔCDB by AAS?
AB (that equal sign with the ~ above it) BC
AD (that equal sign with the ~ above it) DC
∠ ABD ∠ CBD
∠ DBA ∠ CDB
Answers
A quiz consists of 4 true-false questions. What is the probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions?
Answers
Probability of guessing right on 4 in a row is 1/2 x 1/2 x 1/2 x 1/2 = 1/16
Answer: The probability of getting 100 % on the quiz is 0.0625.
fgfdgfdgfdgfdfgfgdgfdfdgfdgdfsfdsfdgffdsfsdfdsfdsfsadsadsaddfdsf
Step-by-step explanation:
Since we have given that
Number of true-false questions = 4
Number of chances of answer = 2
1) True,
2) False
Probability of getting correct answer is given by
[tex]\frac{1}{2}[/tex]
Probability of getting 100% on the quiz by randomly guessing the answer to all 4 questions is given by
[tex]\frac{1}{2}^4\\\\=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{16}\\\\=0.0625[/tex]
Hence, The probability of getting 100 % on the quiz is 0.0625.
algebra help?
write a function rule for the area of a triangle with a base of 3 cm greater than 5 times its height. what is the area of a triangle when its height is 6 cm?
Answers
The area (A) of the triangle with base a and height h is:
A = a * h / 2
A base is 3 cm greater than 5 times its height: a = 5h + 3
So, the function is:
A = a * h / 2 = (5h +3) * h / 2
If the height is 6 cm:
h = 6
A = (5h +3) * h / 2
A = (5 * 6 + 3) * 6 /2
A = 33 * 3
A = 99 cm²