7n - 4 (8n+4) = 159
Answer:
n = -7
Step-by-step explanation:
Use distributive property:
7n - 32n - 16 = 159
Combine like terms
-25n - 16 = 159
Add 16 to both sides to isolate variable n
-25n = 175
Divide both sides by -25 to isolate variable n
n = -7
Check your work:
7(-7) - 32(-7) - 16 = 159
-49 + 224 - 16 = 159
159 = 159
What is the approximate circumference of a circle that has a center at (6,2) and passes through the point (20,2)? (Use 3.14 as an approximation for pi)
answers : 126,88,63,44
Answer:
C = 88
Step-by-step explanation:
So, we know that the circle passes thru the point (20,2), and it's center is (6,2).
The general definition of a circle's radius is the distance from the center to any point on the circle!
Vertically, these points are the same - so if we just subtract 20 from 6 we know the distance between the center and this point on the circle!
[tex]20 - 6 = 14\\r=14[/tex]
Anyhow, we now know that the radius is 14. and the equation for a circle's circumference is as follows:
[tex]r2\pi \\or\\d\pi[/tex]
Insert the values into the equation....
[tex]C = 3.14(14)(2)\\C=87.92[/tex]
87.92 ≈ 88.00
Have a nice day, fam. Spread The Love <3
B
15. x =
106
(10x -23)
D
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...
2(10x -23)° +106° = 360°
2(10x -23) = 254 . . . . . . . . divide by °, subtract 106
10x -23 = 127 . . . . . . . . . divide by 2
10x = 150 . . . . . . . . . . add 23
x = 15 . . . . . . . . . . . divide by 10
what is the fornula for find arithemetic ewuation
Answer:
a_{n} = a_{1} + (n-1)d
a_n = the nᵗʰ term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.
[tex]\frac{x-2}{x^2+4x-12}[/tex]
Answer:
1/(x+6)
Step-by-step explanation:
I'm assuming you want me to factorize
x^2+4x-12 would factorize into (x-2) and (x+6)
Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)
The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square inch.
Answer:
Plate Area = PI * radius^2
Plate Area = 3.14159 * 6 * 6
Plate Area = 113.09724 square inches
Plate Area = 113.1 square inches (rounded)
Step-by-step explanation:
I dont understand
NOOOOO LINKSSSSSS
Answer: 4.40
Step-by-step explanation: 10 divided by 4 is 2.5 and 2.5 times 4.40=11
so 4.40x2.5=11
A gas measuring 525 mL is collected at 104.66 kPa. What volume does this gas
occupy if the pressure is increased by 25 kPa?
Recall the ideal gas law:
P V = n R T
where
P = pressure
V = volume
n = number of gas molecules
R = ideal gas constant
T = temperature
If both n and T are fixed, then n R T is a constant quantity, so for two pressure-volume pairs (P₁, V₁) and (P₂, V₂), you have
P₁ V₁ = P₂ V₂
(since both are equal to n R T )
Solve for V₂ :
V₂ = P₁ V₁ / P₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL
Tom has finished 75% of a 12 mile run. How many miles has he run so far?
Answer: Tom has run 9 miles so far
Step-by-step explanation:
3/4 of 12 if equal to 9
Answer:
9 miles
Step-by-step explanation:
3 is 25 percent of 12.
to figure out how much he runs in 755 of two miles you multiply 3x3=9.
A kitchen table is being sold at a furniture store. These are the cost and revenue functions associated with the tables, where x
represents the selling price of a single table:
R(X) = -0.68x2 + 310x
C(x) = 43.6x + 36,176
Which two points represent breakeven for table sales?
(0, 36,176)
(140, 30,072)
(227, 35,330)
(260, 9,792)
(380, 19,608)
Answer:
(140, 30,072) and (380, 19608).
Step-by-step explanation:
We are given that the revenue function for selling the kitchen table given its price is:
[tex]R(x)=-0.68x^2+310x[/tex]
And the cost function is:
[tex]C(x)=-43.6x+36176[/tex]
At the breakeven point, the revenue equals the cost. Therefore:
[tex]R(x)=C(x)[/tex]
Substitute:
[tex]-0.68x^2+310x=-43.6x+36176[/tex]
We can solve for x.
Adding 0.68x² to both sides and subtracting 310x from both sides yields:
[tex]0.68x^2-353.6x+36176=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 0.68, b = -353.6, and c = 36176. Substitute:
[tex]\displaystyle x=\frac{-(-353.6)\pm\sqrt{(-353.6)^2-4(0.68)(36176)}}{2(0.68)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{353.6\pm\sqrt{26684.24}}{1.36}[/tex]
So, our two solutions are:
[tex]\displaystyle x=\frac{353.6+\sqrt{26684.24}}{1.36}\text{ or } x=\frac{353.6-\sqrt{26684.24}}{1.36}[/tex]
Use a calculator:
[tex]x\approx 380\text{ or } x\approx 140[/tex]
Our answers are:
(140, 30,072) and (380, 19608).
Answer:
(140, 30,072) and (380, 19608)
Step-by-step explanation:
i got it right
Pls help ASAP PLSSSS!!!
Answer:
D
Step-by-step explanation:
225 is the closest to point (200, 200)
Answer:
c
Step-by-step explanation:
trust
Find the area of each figure. Use 3.14 for phone
Area of triangle: 3m
Area of rectangle: 24m
Area of semi-circle: 6.28m
Answer:
33.28 m²
Step-by-step explanation:
The figure consists of three shapes:
1) A semicircle of radius 2 m.
2) A rectangle 4 m by 6 m.
3) A triangle with base 3 m and height 2 m.
area = ½πr² + LW + ½bh
area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2
area = 6.28 m² + 24 m² + 3 m²
area = 33.28 m²
Plz help this if you want points
Answer:
First Question:
A) -15+20x B) 36x+28
Second Question:
-10/5, 1/25, 1/2, 3/5, 5/8
A car wash attendant counted the number of cars washed and the total amount of money earned. The company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275 for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of dollars earned, m.
Bob the builder eat no fewer then three donuts. What is the inequality?
Answer:
3
Step-by-step explanation:
I think
Answer:
less than or equal to 3
Step-by-step explanation:
Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?
Answer:
2:12
Step-by-step explanation:
The ratio of cups of sugar to cupcakes is equivalent to 1:6.
Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.
What is the ratio?The ratio is the comparison of two quantities. It is generally represented by a fraction.
2 cups of sugar: 12 cupcakes = 2:12
2:12 = 2/12 =1/6 =1:6
So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
To get more about ratios visit:
https://brainly.com/question/2328454
What is a decimal that is equivalent to the fraction 44/100
Answer:
0.44
Step-by-step explanation:
44/100 as a decimal is 0.44.
Hope this helped!!!
The decimal equivalent to the fraction 44/100 is 0.44.
We have,
To find a decimal equivalent to the fraction 44/100, we can simply divide the numerator (44) by the denominator (100):
44 ÷ 100 = 0.44
The concept used to find the decimal equivalent of a fraction is division.
By dividing the numerator by the denominator, we obtain the decimal representation of the fraction.
Therefore,
The decimal equivalent to the fraction 44/100 is 0.44.
Learn more about expressions here:
https://brainly.com/question/3118662
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What shape is always classified as a rectangle?
Kepa has the flu, and he is concerned that he will not pass the mathematics exam. If the following three statements are true, will Kepa pass the exam?
i) Kepa will not fail the mathematics exam if he finishes his computer program.
ii) If he goes to the theatre, he does not have the flu.
iii) If he does not go to the theatre, he will finish his computer program
Answer:
Yes
Step-by-step explanation:
II is already false because Kepa can only go to the theatre if he doesn't have the flu. However, he does, so he cannot go. Then, if Kepa cannot go to the theatre, he will have to finish his computer program. Lastly, if the computer program is finished, Kepa will at least pass the exam.
Answer:
yes, if the computer program he will pass. he shouldn't go to the theatre if he has the flu or not cause hes been sick either way.
A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes.Reference: Ref 20-4How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence
Answer:
A sample of 6758 would be needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.
This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?
This is n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]
[tex]n = 6757.5[/tex]
Rounding up:
A sample of 6758 would be needed.
WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answer: -2
Step-by-step explanation:
When x is 0, y is -2.
Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.
Answer:
Step-by-step explanation:
y= -1/4x
What is the value of y in the triangle ?
Answer:
c
Step-by-step explanation:
hope it helps
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
Answer:
The numbers 6, 9 , and 42
Step-by-step explanation:
Fraction
6/10
9/100
42/100
Decimal
0.6
0.09
0.42
Percent
60%
9%
42%
1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5
Answer
(tan x + 3)=5
Step-by-step explanation:
A welcome mat in front of the hardware store is a half-circle. The straight side of the mat is 24 inches. What is the perimeter of the mat? Round to the nearest inch.
No links.
Answer:
To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.
A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.
To find the circumference of the full circle, we need the formula:
C = 2πr
Circumference = 2 x pi x radius
Radius is half of the diameter, so 12 inches.
C = 2 x pi x 12
C = 75.36 inches
75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.
what is the answer
Move the correct number to the first box to show the answer. Then, move numbers to the other boxes to explain the answer.
Answer:
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
Because:
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4} * 3 = [\ ][/tex]
Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
Required
Fill in the box
[tex]\frac{1}{4} * 3 = [\ ][/tex]
This can be written as:
[tex]\frac{1}{4} * 3 = \frac{1* 3 }{4}[/tex]
Solve the numerator
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
(b) Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
The above implies that
[tex]\frac{1}{4}[/tex] be added in 3 places
i.e.
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
Une coopérative vend un important lot d’œufs de trois tailles différentes.
20 % des œufs sont petits, 50 % sont moyens et 30 % son gros.
Les œufs sont de deux qualités : - « extrafrais » car pondus depuis moins de 9 jours ;
- « frais » car pondus entre 10 et 28 jours plus tôt.
On a remarqué que : ▪ 80 % des petits œufs sont extrafrais ;
▪ 50 % des œufs moyens sont extrafrais ;
▪ 20 % des gros œufs sont extrafrais.
Dans ce lot, on prélève un œuf au hasard et on note sa taille puis sa qualité.
On nomme respectivement P, M et G les événements « l’œuf choisi est petit », « l’œuf choisi est
moyen » ; « l’œuf choisi est gros » et on appelle E l’évènement « l’œuf choisi est extrafrais ».
1) Construire l’arbre de probabilité traduisant la situation.
2) Quelle est la probabilité d’obtenir : a. un petit œuf extrafrais ? b. un petit œuf frais ?
3) Quelle est la probabilité de choisir un œuf extrafrais ?
Aide moi svp
Answer:
546EEergh
Step-by-step explanation:
455/4355
Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism.A sketch is shown.Lisa will paint outside of the entire structure after building it.What is the area Lisa will paint.Be sure to include the units label.
Answer:
36.6
Step-by-step explanation:
The amount of area Lisa will paint is 288 square inches.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
to determine the area Lisa will paint:
From the question, we have the following parameters that can be used in our computation:
Triangular prisms (1) to (6)
The area Lisa will paint is the literal surface of the shape
Using the above as a guide, we have the following:
Literal Area = (a + b + c) * h
Where
a, b and c = 6, 8 and 10
h = 12
Substitute the known values in the above equation, so, we have the following representation
Literal Area = (6 + 8 + 10) * 12
Evaluate
Literal Area = 288
The above is the literal surface area of the prism
Read more about surface areas at
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PLEASE HELP options are in the picture
A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing.
How will you model the simulation for the roll of a die?
Answer: C. Use the numbers 1-3 to represent all the outcomes.
Step-by-step explanation: I got this question correct on Edmentum.
7 and - 1 1/2 on the number line?
Answer:
7 will lie on 0 and 1 and 1/2
