Find to value of a if you knew the perimeter was 250 inches long
Answer:
To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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Washington, DC is 389 miles from Statesville, NC. If you wanted to drive there,
how long would it take you driving on interstates with an average of 65 mph?
O 5.98 hours
07.07 hours
O 5.56 hours
07.78 hours
O 6.48 hours
Suppose your car gets 29 miles per gallon on the interstate and gas costs
$3.89/gallon. How much will it cost you to drive to Washington, DC?
O $0.29
O $43,883.09
$52.18
O $3.45
O $2,900.00
It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.
Time = Distance / Speed
Time = 389 miles / 65 mph
Time ≈ 5.98 hours
Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.
To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.
Number of gallons = Distance / Mileage
Number of gallons = 389 miles / 29 miles per gallon
Number of gallons ≈ 13.41 gallons
The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.
Cost = Number of gallons * Cost per gallon
Cost ≈ 13.41 gallons * $3.89/gallon
Cost ≈ $52.18
Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
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can you please help me with this
Sathish will be going to pay a total of $64.8 for the gas.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
The First 150 and last 150 km will cover by Satish only
Since 6 liters covers 100 km
So,
Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6
Now,
The journey 2100 - 300 = 1800 km has been covered by all three
Split 1800/3 = 600 km of money Satish will pay
So,
Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2
Total paid = 21.6 + 43.2 = 64.8.
Hence "Satis will be going to pay a total of $64.8 for the gas".
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You deposit $300 in an account that earns simple interest at an annual rate of 6.5%.
If no other deposits or withdrawals were made, what is the total amount of money in the account at the end of 8 years?
Total amount of money in the account will be $456.
How much money will be in the account after 8 years?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.
The formula for simple interest is: Simple Interest = Principal × Rate × Time
Principal (P) is $300
Rate (R) is 6.5%
Time (T) is 8 years.
Simple Interest = $300 × 0.065 × 8
Simple Interest = $156
Total Amount = Principal + Simple Interest
Total Amount = $300 + $156
Total Amount = $456.
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suppose y varies directly as x, and y=48 when x=6. find x when y=72.
Using the constant of proportionality the value of x when y is 72 is 9.
What is a COP?
The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.
If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.
To find k, we can use the given information that y = 48 when x = 6 -
y = kx
48 = k(6)
k = 8
Now that we know k, we can use it to find x when y = 72 -
y = kx
72 = 8x
x = 9
Therefore, when x = 72, the value of x = 9.
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Which polygon appears to be regular?
O Figure A
O Figure B
O Figure C
Figure A
Figure B
O Figure D
Figure C
Figure D
Figure C appears to have all sides and angles the same.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.
A regular polygon can have any number of sides, and its name reflects the number of sides it has.
For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.
Thus,
Figure C appears to have all sides and angles the same.
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1 gal of paint in pounds
D. 4x-5
How many solutions does the following equation
have?
2(3x-1)=3(2+x)
A. No solution
B. One solution
C. Infinitely many solutions
Answer:
B. One Solution
Step-by-step explanation: By solving 2(3x-1)=3(2+x) for x you get the answer x=8/3 (one solution).
How much is a $20 shirt if it is 5% off?
Answer:
$19.00
Step-by-step explanation:
This is the answer because:
1) In order to know what 5% of 20 is, you have to do 20 x 5/100 = 100/100
2) Next, 100/100 = 1
3) Finally, we have to do 20-1 which is 19
Therefore, the answer is $19.00
Hope this helps! :D
Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
12.6% $1,250 $950 $900
2.8% $575 $2,025 $2,350
10.4% $895 $1,185 $310
1.8% $800 $445 $1,600
−5.6% $1,775 $625 $2,780
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 2, Portfolio 1, Portfolio 3
Based on the results, the below list shows a comparison of the overall performance of the portfolios, from best to worst:
Portfolio 2, Portfolio 1, Portfolio 3
Portfolio 1:
total investment=$1250+$575+$895+$800+$1775
total investment = $5295
weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)
weighted average ROR = 3.23%
Portfolio 2:
total investment = $950 + $2025 + $1185 + $445 + $625
total investment = $5230
weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)
weighted average ROR = 5%
Portfolio 3:
total investment = $900 + $2350 + $310 + $1600 + $2780
total investment = $7940
weighted average ROR = ( 12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)
weighted average ROR = 1%
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please help! Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement. Angle P has the same measure as angle P'. T or F Angle Q has the same measure as angle R'. T or F Angle R has the same measure as angle R'. T or F
Step-by-step explanation:
Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and
then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement.
Angle P has the same measure as angle P'. T or F
Angle Q has the same measure as angle R'. T or F
Angle R has the same measure as angle R'. T or F
IF RIGHT PLZ GIVE BRAINLIEST
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HAVE A GREAT DAY AND BE SAFE :)
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Look at the image please
Answer:
Put Plot R at 2. Put Plot S at 1 1/2
Step-by-step explanation:
For Plot S:
- 7/2 - 3/4 - ( -1/4 - 2/12)
-7/2 - 3/4 -(- I/4 - 5/2
-7/2 - 3/4 - (-11/4)
-7/ - 3/4 + 11/4
Answer: -3/2
For Plot R:
7/2 - (-3/4) - (-1/4 + 2 1/2)
7/2 + 3/4 -(- 1/4 + 2 1/2)
7/2 + 3/4 - (-1/4 + 5/2)
7/2 + 3/4 - 9/4
Answer: 2
Brainliest is appreciated
Hope this helped.
Simplify the following expression.
-6 + 5 x 2 + 10 x (-2)
Answer:
= -16
Step-by-step explanation:
You will use the Please Excuse My Dear Aunt Salley method (Paranthesis, mutiplication, division, addition, and subtraction)
-6 +5 x 2 +10 x (-2)
-6 +10 -20 (a positive times a negative equals a negative)
= -16
Step-by-step explanation:
-6 + 5 x 2 + 10 x ( -2 ) PEMDAS
-6 + 10 + -20 Parensthesis, Exponents, Multiplication & Division
4 - 20 left to right, Addition & Subtraction left to right.
-16.
In the figure, ∆BAT ≅ ∆CAT. Which statement is true by CPCTC?
Answer:
BT=CT the first one because BAT=CAT and bc cut the similar vector between these two triangle
Acrylic bone cement is sometimes used in hip and knee replacements to secure an artificial joint in place. The force required to break an acrylic bone cement bond was measured for seven specimens, and the resulting mean and standard deviation were 306.07 newtons and 41.96 newtons, respectively. Assuming that it is reasonable to believe that breaking force has a distribution that is approximately normal, use a 95% confidence interval to estimate the mean breaking force for acrylic bone cement. (Round your answers to three decimal places.)
The required 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.
Find the critical value (t*) for a 95% confidence level and (n - 1) degrees of freedom.
The degrees of freedom (df) is equal to the sample size minus 1 (df = 7 - 1 = 6). From a t-table or statistical software, the critical value for a 95% confidence level and df = 6 is approximately 2.447.
Calculate the standard error of the mean (SE).
The standard error of the mean is given by SE = (sample standard deviation) / sqrt(sample size).
\(SE =\dfrac{41.96}{\sqrt{7}}\)
≈ 15.85
Calculate the margin of error (MoE).
The margin of error is MoE = (t*) * SE.
MoE ≈ 2.447 * 15.85
≈ 38.78
Calculate the confidence interval.
The confidence interval is given by: Mean ± MoE.
Mean ± MoE ≈ 306.07 ± 38.78
Calculate the lower and upper bounds of the confidence interval.
Lower bound ≈ 306.07 - 38.78
= 267.29
Upper bound ≈ 306.07 + 38.78
= 344.85
Therefore, the 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.
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Numbers 1, and 3 please
Answer:
1. shifts the graph right 2 units
2. y = -2(x -3)² +7
Step-by-step explanation:
1) Replacing x with x-h in any function shifts the graph h units to the right. Here, you have replaced x with (x-2), so the graph will be shifted 2 units to the right.
__
3) The vertex form of the equation of a parabola is ...
y = a(x -h)² +k . . . . . . . . for vertex (h, k) and vertical scale factor 'a'
Here, the vertex is (h, k) = (3, 7), and the parabola opens downward. This tells us the sign of 'a' is negative.
The graph is not so clear that it is easy to read the value of 'a' directly from it, but there are several clues.
The zeros of the above function are found at h±√(k/a). This graph shows the zeros to be located such that √(7/a) is slightly less than 2. This means the magnitude of 'a' will be slightly more than 7/2² = 1.75. The y-intercept of the function is 7-9a. It is less than -7, but probably more than -14. This puts bounds on 'a':
-14 < 7-9a < -7
-21/9 < -a < -14/9 ⇒ -2.33 < -a < -1.56
If we assume that 'a' is an integer value, we have bounded its magnitude as being between 1.75 and 2.33, so a=-2 is a reasonable choice.
The equation of the graph may be ...
y = -2(x -3)² +7
Here's a graph of a linear function. Write the
equation that describes that function.
xpress it in slope-intercept form.
Answer:
the slope intercept form is y = (1/2)x - 1
Step-by-step explanation:
The slope-intercept form is, y = mx + b
We see from looking at the graph that,
at x = 0, y = -1
So, from this we find that b = -1
at x = 2, y = 0,
now, we find the slope m,
using,
\(m = \frac{y_{2} -y_1}{x_2-x_1}\)
Using x_2 = 2, y_2 = 0,
x_1 = 0, y_1 = -1, we get,
m = (0-(-1))/(2-0)
m = 1/2
So, the slope intercept form is,
y = (1/2)x - 1
Which of these expressions is equivalent to log(15/7)
A. 15 • log (7)
B. log (15)• log (7)
C. log (15) - log (7)
D. log (15) + log (7)
Answer:
C
Step-by-step explanation:
using the rule of logarithms
log a - log b = log (\(\frac{a}{b}\) ) , then
log (\(\frac{15}{7}\) ) = log 15 - log 7
According to the American Academy of Cosmetic Dentistry, 75% of adults believe that an unattractive smile hurts career success. Suppose that 25 adults are randomly selected. What is the probability that 15 or more of them would agree with the claim?
Answer:
0.9703 = 97.03% probability that 15 or more of them would agree with the claim.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they agree with the claim, or they do not. The probability of an adult agreeing with the claim is independent of any other adult, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
75% of adults believe that an unattractive smile hurts career success.
This means that \(p = 0.75\)
Suppose that 25 adults are randomly selected.
This means that \(n = 25\)
What is the probability that 15 or more of them would agree with the claim?
This is:
\(P(X \geq 15) = 1 - P(X < 15)\)
In which:
\(P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 13) + P(X = 14)\)
14 is below the mean, so we start below and go until the probability is 0. Then
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 14) = C_{25,14}.(0.75)^{14}.(0.25)^{11} = 0.0189\)
\(P(X = 13) = C_{25,13}.(0.75)^{13}.(0.25)^{12} = 0.0074\)
\(P(X = 12) = C_{25,12}.(0.75)^{12}.(0.25)^{13} = 0.0025\)
\(P(X = 11) = C_{25,11}.(0.75)^{11}.(0.25)^{14} = 0.0007\)
\(P(X = 10) = C_{25,10}.(0.75)^{10}.(0.25)^{15} = 0.0002\)
\(P(X = 9) = C_{25,9}.(0.75)^{9}.(0.25)^{16} \approx 0\)
Then
\(P(X < 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0002 + 0.0007 + 0.0025 + 0.0074 + 0.0189 = 0.0297\)
And
\(P(X \geq 15) = 1 - P(X < 15) = 1 - 0.0297 = 0.9703\)
0.9703 = 97.03% probability that 15 or more of them would agree with the claim.
answer
now
now
do it
Answer:
0.125
Step-by-step explanation:
Step-by-step explanation:
Given
\( \frac{7}{8} - \frac{1}{4} - \frac{1}{2} \\ = \frac{7 - 2 - 8}{8} \\ = \frac{ - 3}{8} \)
Hope it will help :)
Quinn and Alexander are painting their bedroom. Quinn has painted 2/5 of his room. Alexander has painted 2/3 of his room. Who has the more left to paint? Explain in a sentence and solve?
Answer:
Alexander
Step-by-step explanation:
Alexander has painted 2/3 of his room. Quinn has painted 2/5 of his. To find who has painted more, convert both fractions to have the same denominators. An easy way to do this is to multiply the numerator and denominator of one fraction by the denominator of the other, then do the same for the other fraction. So, \(\frac{2}{3}\) · 5 = \(\frac{10}{15}\) and \(\frac{2}{5}\) · 3 = \(\frac{6}{15}\).
\(\frac{10}{15}\) > \(\frac{6}{15}\). So, Alexander has painted more of his room than Quinn has.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Timothy bought 10 cookies for $5.00.
Let x represent the number of cookies purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.
JUST GIVE THE COORDINATES OR PROOF OF ANSWER
Answer:
(1 , 2), (2 , 4), (3 , 6), and so on
Step-by-step explanation:
10/5 = 2, so each cookie costs $2. So, for every time you increase x by one, you increase y by two.
1 = $2 2 = $4 3 = $6 4 = $8 etc.
hope this helps :)
A group of tenth grade students responded to a survey that was asked which Math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19% of all survey respondents?
A. Females taking Geometry
B. Females taking Algebra II
C. Males taking Geometry
D. Males taking Algebra I
Answer:
C.
Step-by-step explanation:
The bottom-right most cell tells us that the total number of students that responded to the survey is 310 students.
To find the answer, we can go through each choice.
A. Females taking Geometry
Row 1 Column 2 tells us that 53 females are taking geometry. 53/310 is about 17%.
B. Females taking Algebra II.
Row 1 Colume 3 tells us that 62 females are taking Algebra II. 62/310 is 20%.
C. Males taking Geometry.
Row 2 Colume 2 tells us that 59 males are taking Geometry. 59/310 is about 19%. Choice C is correct.
D. Males taking Algebra I.
44 out of the total 310 respondents are male and is taking Algebra I. 44/310 is about 14%.
Answer:
C
Step-by-step explanation:
59/310 *100 = 19.03%
so 19%
(Due in 20 minutes)
The three side lengths of four triangles are given. Which triangle is a right triangle?
Triangle 1: √13, 6, 7
Triangle 2: 7, 8, 13
Triangle 3: 10, 11, 12
Triangle 4: √10, 9, 8
5x + 1 over 4 y2
What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit. (4 points)
Answer:
1
Step-by-step explanation:
5x + 1 / 4y²
5(3) + 1 / 4(2)²
15 + 1 / 4(4)
16 / 16 = 1
What is zn in the periodic table?
Answer:
Zn is zinc in the periodic table.
Hope this helps plz hit the crown :D
Answer:
Zn is Zinc, which is #30 on the Periodic Table of Elements.
Step-by-step explanation:
Find. The unit vector. Multiple choice
Answer:
D
Step-by-step explanation:
6i = 3/5i
8j = 4/5j
3/5i + 4/5j
The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
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