I recently had work done on my car. The estimate was $234.78 but the actual was $365.99.
What is the relative error in the estimate?
Round to 2 decimal places.
Answer:
35.85%
Step-by-step explanation:
first, find the difference between the real value and the estimated value:
365.99 - 234.78 = 131.21
now divide the difference by the real value:
131.21 / 365.99 = 0.358507
now multiply 0.358507 by 100 to get a percentage, then round to 2 decimals:
35.85%
An item is priced at $14.29. If the sales tax is 5%, what does the item cost including sales tax?
Answer:3-5=787879. youu
Step-by-step explanation:
Select all the equations that are true.
83=43= 210
0 112 = 83= 135
25= 34 = 3.5
0123 = 62 = 27
111=1
=
find csc θ and sec θ if cot θ= 3/2 and cos θ>0
Since both cot(θ) and cos(θ) are positive, it follows that sin(θ) is also positive:
cot(θ) = cos(θ)/sin(θ) > 0 ===> sin(θ) > 0
Recall the Pythagorean identity:
sin²(θ) + cos²(θ) = 1
Multiplying both sides by 1/sin²(θ) yields another form of the identity,
sin²(θ)/sin²(θ) + cos²(θ)/sin²(θ) = 1/sin²(θ)
1 + cot²(θ) = csc²(θ)
so that
csc(θ) = + √(1 + cot²(θ))
csc(θ) = √(1 + (3/2)²)
csc(θ) = √13/2
By definition of cosecant, we have
csc(θ) = 1/sin(θ)
so that
sin(θ) = 2/√13
Then using the Pythagorean identity once more, we have
cos(θ) = + √(1 - sin²(θ))
cos(θ) = √(1 - (2/√13)²)
cos(θ) = 3/√13
so that, by definition of secant,
sec(θ) = 1/cos(θ)
sec(θ) = √13/3
Find the area and perimeter.
5.6 cm
Answer:
A= 5.6 x 5.6 = 31.36
P= 5.6 × 4 = 22.4
Step-by-step explanation:
to find the area of a square, just take the length of 1 side and square it (A= length^ 2)
to find the perimeter of a square multiply length by 4 sides.
*these formulas only hold true for squares bc the length of each side is the same.
what is 7/9 divided by 1/3?
Answer:
7/3 or 21/9 or 2.3 repeated
Step-by-step explanation:
Answer: 7/3
Step-by-step explanation
[tex]\frac{7}{9}/\frac{1}{3} = \frac{7}{9}*\frac{3}{1}= 21/9=7/3[/tex]
Keep change flip. Keep 7/9 change multiply to divide flip 1/3 to 3.
Classify each term in the expression 9gh+2+g as a constant term or a variable term.
Answer:
veriable constant variable
Step-by-step explanation:
took the test
The constant term is 2 and the variable terms are '9gh' and 'g' in the given polynomial.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given below.
⇒ 2gh + 2 + g
In the above polynomial, the letter 'g' and 'h' are variables.
The constant term is that term in which no variable is there. Then the constant term is 2.
And the variable terms are '9gh' and 'g'.
More about the polynomial link is given below.
https://brainly.com/question/17822016
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Which of the following is the graph of y=√-x-3 EndRoot?
9514 1404 393
Answer:
3
Step-by-step explanation:
The square root function (√) only gives positive values, so graphs 1 and 4 make no sense.
When x = -3, the y-value is 0, consistent with graph 3.
tan(-x) cos(-x) =
Simplify the expression
Answer:
- sin (x)
Step-by-step explanation:
hope this helps :)
Answer: tan(-x) cos(-x) = -sin(x)
Step By Step Explanation:
tan(-x) cos(-x)
Use the negative angle Identity to get:
Cos (x) (-tan(x))
Remove the parenthesis to get:
-Cos (x) tan (x)
Express with sin,cos to get:
-sin(x)
I got my explanation from www.symbolab.com
https://www.symbolab.com/solver/simplify-calculator/tan%5Cleft(-x%5Cright)%20cos%5Cleft(-x%5Cright)%20%3D?or=input
, Hope this Helps :)
Have a great day!!
how is five hundred two thousand,seven and four hundredths written in expanded nataion?
Answer:
502,007.004
Step-by-step explanation:
because I smart middle schooler
Answer:
502,007.004
Step-by-step explanation:
because I smart middle schooler
Enter the missing values in the area model to find 6(8p-7)
Step-by-step explanation:
→ 6(8p - 7)
→ 48p - 42 ← ans.
hope this answer helps you dear take care and may u have a great day ahead!
I need help please I need to turn it in tomorrow at 8:00 AM
Answer:
The estimate is too low
Step-by-step explanation:
46×6=276 which isn't a very close estimate. However if you used 46×7=322 the estimate would be OK. Now if you used 46×8=368 that would be too high of an estimate here. In simpler terms 1 to 6 is too low of an estimate here and 8 to 9 is too high of an estimate. The number 7 is the middle ground here. Hope this helped.
[tex]\lim_{x \to \ 7} \frac{2x^2-11x-21}{x^2-9x+14}[/tex]
Answer:
[tex] \frac{17}{5} [/tex]
I hope this helps you...
What must be the length of PQ in order for AJKL to be
similar PQR
9514 1404 393
Answer:
(d) 18
Step-by-step explanation:
If ΔJKL ~ ΔPQR, then we must have ...
PQ/JK = QR/KL . . . . . ratios of corresponding sides are the same
PQ = JK×QR/KL = 12×9/6 = 2×9
PQ = 18
Answer:
18
Step-by-step explanation:
The scale factor for this is 1.5,
JL = PR
JL is 14, and PR is 21, 14 * 1.5 = 21
KL = QR
KL is 6, and QR is 9, 6 * 1.5 = 9
So we do the same for JK and PQ
Since PQ is 12, we need to find what 12 * 1.5 is.
12 * 1.5 = 18
PQ = 18
if point E is located at 9 and point F is located at -8 what’s the distance between E and F
Answer:
17
Step-by-step explanation:
-8+8 = 0+9=9 -8 and 9 are 17 in between (8,9)
Eraph the line that represents the equation Y = -2/3x + 1
I need answer ASAP
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation is given in "slope-intercept" form.
y = mx + b
where m is the slope, and b is the y-intercept.
__
For graphing, it is usually convenient to start with the y-intercept. The value of 'b' in your equation is +1, so the graph will go through the point y=1 on the y-axis. That point's coordinates are (0, 1).
The value of m represents the slope, or "rise"/"run" of the line. A slope of -2/3 means the line "rises" -2 units for each "run" of 3 units to the right. Then another point on the graph will be 3 units to the right of the y-axis, and 2 units down from y = 1. That point is (3, -1).
The line is drawn through these points you found on the graph.
8) Cashews cost $8.90 per pound. If Austin buys 2.45 pounds of cashews, what is the total cost?
Round to the nearest.cent.
$
Answer:
9.00 and 2.00
Step-by-step explanation:
8.90 rounds to 9.00 because 8.90 is more than more then 0.50 so it makes the cents round to the nearest cent. 2.45 round to 2.00 because 2.45 is less than 0.50
Graph system of inequalities
Y>|2/3x-3
Y>|-4/3x+3
The Graphs are in attachment !
1st graph is for equation :
[tex]y > \dfrac{2}{ 3}x - 3[/tex]2nd graph is for equation :
[tex]y > - \dfrac{4}{3} x + 3[/tex]Given system of inequalities:-
[tex]y = \frac{2}{3}x - 3[/tex]
and
[tex]y = \frac{ - 4}{3}x + 3[/tex]
So, the graph for the given system of inequalities is attached along with this answer.
Please refer the attachment for the graph.
✍️ By Benjemin ☺️
A high school athlete ran the 100 meter sprint in 13.245 seconds. Round the time to the nearest tenth. Enter the answer in the box.
seconds=
Answer:
13.245 rounded to the nearest tenth is 13.2 seconds
Step-by-step explanation:
Ro round a number to the nearest 10, look at the units digit. If the units digit is 5 or more, round up. If the units digit is 4 or less, round down.
Answer:
13.250
Step-by-step explanation:
befause number five is near ten
Check all solutions to the equation. If there are no solutions, check "None."
x1 = 2
Someone please help ASAP!
Answer:
C -2
Step-by-step explanation:
it's -2 since lxl = -2 or 2
Wich of the following powers is the same as 2^5
None. There is no solution. None of them are equal. 2 to the fifth power is 32.
Most of them equal to something above 80 or are between 50 and 200.
What is an equation of the line that passes through the points (-2, 1)(−2,1) and (-6, -5)(−6,−5)?
Answer:
ind the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 )
to find the line parallel to x + 4y = 28 .
Step-by-step explanation:
Following the October 15, 2019, fourth Democratic debate, Drudge Report ran an online poll on its website and asked readers who won the debate. A total of 208,001 votes were cast, with Gabbard receiving 79,881 votes (38%), Yang receiving 37,944 votes (18%), Buttigieg receiving 25,337 votes (12%), Warren receiving 14,405 votes (7%), Kloubachar receiving 13,142 votes (6%), Biden receiving 11,246 votes (5%), Steyers receiving 7,791 votes (4%), Sanders receiving 7,672 votes (4%), and the remaining candidates each receiving 1% or fewer votes. The sample size for this poll is much larger than is typical for polls such as the Gallup Poll. Explain why the poll may give unreliable information about the voting population, even with such a large sample size.
Although the sample size for the poll is much larger than is typical for polls such as the Gallup Poll, the poll may give unreliable information about the voting population, even with such a large sample size, due to the following reasons:
First, it is an online survey, where the interviewer does not decide who to interview and, therefore, the sample from which the result is obtained has not passed through the necessary heterogeneity filters. Second, because even in the case of a large number of people, since these voters are voluntary, there is no certainty that their responses are objective or neutral, which affects the final result.
Learn more in https://brainly.com/question/1590463
Hector took out a small loan of $900 for 18 months. The simple interest rate on the loan was 10.5%. How much will he pay in interest on the loan?
Answer:
The answer would be $1.89 in interest.
Step-by-step explanation:
First, change 10.5% into a decimal. To do this, you divide 10.5÷100. This equals 0.105
next, you multiply 0.105 with 12 (12 months in a year)
This equals 1.26
But, Hector still has 6 months left he has to pay for.
So, one way you can do this is divide 1.26 by 2, which equals 0.63.
THEN, you add 0.63 with 1.26, giving you the answer, 1.89
So, the answer for this equation would be 1.89.
Pls i need this as soon as possible
Find the value of x.........
Answer:
Would x not be 70 degrees as it corresponds to the 70 on the bottom line?
Step-by-step explanation:
9. The total length of the Trans-Canada Highway is 7870 km. About 6% of
the highway is in Alberta. How many kilometres are in Alberta?
Answer:
472.2 km
Step-by-step explanation:
A farmer is enclosing a square area for his pigs as shown below. Use the formula A = s to the second power to find the area of the pig pen.
The area of the given figure that is mentioned is 64.
A square has congruent angles on each side. The square's area is thus equal to its square divided by its side length.
Let a represent the square's side length. The area of the square will be calculated as:
Area of the square = a² square units
The side provided is 8 ft
The area will be
= a²
= 8²
=64
More about the area of the square here,
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17 percent of what is 40
45 of 155 is what
What percent of 153 is 137
Answer:
Number 1 :If you are using a calculator, simply enter 40×100÷17, which will give you the answer.
Number 2: 45 percent of 155 is 69.75.
Number 3: 137 is what percent of 153? = 89.54
(w2x−3)÷10⋅z when w=−9, x = 2.7, and z=−2/5
[tex]\\ \sf\longmapsto \dfrac{w^2x-3}{10z}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(-9)^2(2.7)-3}{10(-2/5)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{81(2.7)-3}{-2(2)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{218.7-3}{-4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{215.7}{-4}[/tex]
Rounding up numerator[tex]\\ \sf\longmapsto \dfrac{216}{-4}[/tex]
[tex]\\ \sf\longmapsto -44[/tex]
Step-by-step explanation:
(-9)^2(2.7)-3/10(-2/5
= 81(2.7)-3/-2(2)
= 218.7-3/-4
= 215.7/-4
= -44