Answer:
Construct two [intersecting, perpendicular] diameters and connect the four endpoints
A used book sale charged $7.50 for hardcovers and $1.25 for paperbacks. During the sale, 15 hardcovers were sold and the sale earned $166.25. Write and solve an equation to determine the number of paperbacks, p, that were sold.
20 points i think
Answer:
43 paperback books
Step-by-step explanation:
7.50(15) + 1.25x = 166.25
112.50 + 1.25x = 166.25
Subtract 112.50 from both sides
(112.50 - 112.50) + 1.25x = (166.25 - 112.50)
1.25x = 53.75
Divide 1.25 from both sides
x = 43
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
22 .Siswa dapat menganalisis persamaan menggunakan identitas trigonometri
a) cot x.cos x per cosec x
b) cos pangkat 4 x - sin pangkat 4 x
Giving Brainliest to teh right answer! Come quick!
Answer:
x=65
Step-by-step explanation:
145 and 2x+15 are vertical angles meaning that they are congruent to each other. Subtract 15 from both sides, and divide by 2 giving x=65.
Hope this helps!
Multiply
(2x + 4)(2x - 4)
Answer:
4x^2 -16
Step-by-step explanation:
(2x + 4)(2x - 4)
FOIL
first:2x*2x = 4x^2
outer: -4 *2x = -8x
inner: 4*2x = 8x
last: -4*4 = -16
Add them together
4x^2 -8x+8x =-16
4x^2 -16
The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.
What is the simplified form of the expression?Given the expression in the question:
(2x + 4)(2x - 4)
We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.
(2x + 4)(2x - 4)
Apply the FOIL method:
2x( 2x - 4 ) + 4( 2x - 4 )
Apply distributive property:
2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4
Multiply the terms:
4x² - 8x + 8x - 16
Collect and add like terms:
4x² - 16
Therefore, the simplified form is 4x² - 16.
Learn more about the FOIL method here: https://brainly.com/question/27980306
#SPJ6
PLS I MARK BRAINLIEST I ONLY HAVE 30 MINS LEFT
You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work AND I NEED TO KNOW HOW YOU DID IT IT SAYS SHOWYOUR WORK
For the given circle, find the value of x
Answer:
230
Step-by-step explanation:
the angle 115 is half of that arc
Which is the answer?
Answer:
c
Step-by-step explanation:
They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.
Answer:
ASA
Step-by-step explanation:
They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.
Hope this is helpful!
Your grandmother has given you $200 for your birthday! You decide to
use that money and start saving to buy a used car. The car costs $6500,
and you know that you can save $350 each month. How many months will
you need to save so that you can buy this car? (Don't forget you already
have $200 from your grandma) *
Answer:
18
Step-by-step explanation:
6500= 200+ 350x
x=18
Answer:
id say eighteen
Step-by-step explanation:
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
7x-y=7
x+2y=6
Answer:
x = 4 / 3, y = 7 / 3
Step-by-step explanation:
We are given the following system of equations;
{ 7x - y = 7, ⇒ Let us multiply the first equation by 2,
x + 2y = 6 }
2 * ( 7x - y = 7 ) ⇒ 14x - 2y = 14 ⇒ Now add the two equations
+ x + 2y = 6 + x + 2y = 6
14x + x = 14 + 6 ⇒ Simplify
15x = 20,
x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,
7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,
28 / 3 - y = 7,
y = 7 / 3
Solution; x = 4 / 3, y = 7 / 3
A pitcher can hold 8 times as much as a glass. The pitcher holds 64 ounces.
Which model shows this comparison?
54 ounces
Glass ?
Pitcher ??????
Glass ?| ?| ?| ?| ?| ?| ?| ?
Pitcher ?
54 ounces
3 ounces
Glass ????
Preher ????
Glass
Pitcher
54 ounces
84 ounces
Answer:
Im guessing this i might be wrong
54 ounces
3 ounces
Step-by-step explanation:
Answer:
To be honest i think 54 ounces and 3 ounces
Step-by-step explanation:
i was going to say 54 and 84 but i said to myself that didn't make any sense if it is 84 let me know plz
Hope this helpsHope this is rightFind the area of the sector.
Answer:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
r is 19m
37/360 * 22/7 * 19 * 19
Area = 116.61 m^2
Find the volume of the planets
Answer:
can you show the planets. or do you want real planets volumes?
Please help and explain. :)
a. Okay, so you multiply the 4.7 and 2.9 together, and then add the exponents
13.63 * 10^10
But we are not done. There can only be one digit in front of the decimal point. So, you move the 13.63 back one place so 1.363. But we have to do this to both sides, so the answer is 1.363 * 10^11.
b. Now you divide the 5.8 and 2, and subtract the exponents.
2.9 * 10^-5
The negative exponent is fine in this case if you were wondering.
c. Expand the scientific notation to 1500, then add the 2491 and then put that in scientific notation is what I would do. You can also express 2491 in scientific notation and add them. Either way you will get 3.991 * 10^3
d. Same thing here except with subtraction. The answer is 6.5 * 10^-4.
This was a little long, sorry. Let me know if you need further explanation. I hope this helps.
Stephen opened a savings account with $100. He deposits $ 20 every time he mows a lawn during the summer. He wants at least $400 in his
account by the end of the summer Leten be the number of lawns Stephen mows.
which inequality can be used to determine the number of lawns Stephen needs to mow?
A 100 + 20 < 400
B 100n + 20 S 400
C 100+ 20n > 400
D. 100 + 200 2400
Answer:
c
Step-by-step explanation:
Can 0.8 be the probability of an outcome in a sample space
Yes or no
Answer:Yes
Step-by-step explanation:
Help me with this please
Answer: 1/8
Step-by-step explanation: there is 2 red and it says how many times can it spin on red twice 2/8
Give me brainly pls trust me 100% correct I’ve learned this already
Answer:
1/8
Step-by-step explanation:
can someone helpp ??
Answer:
21.24°
Step-by-step explanation:
I hope it helps :)
will mark brainliest
jeffs water bill includes a base charge of 12$ plus a charge of 1.50$ for each 1000 gallons of water used. jeffs water bill is 28.50$
how many gallons of water did jeff use?
Answer:
11,000 gallons
Step-by-step explanation:
Jeffs water bill = 28.50
Charge for water used = 28.50 - 12 = 16.50
Therefore number of gallons used = 16.50/1.50 x 1000 = 11,000 gallons
The exponential function f, represented in the table, can be written as
f (x)=a*b^x
x | y
___
0|5
1 | 8
Answer:
f(x) will be 11
Step-by-step explanation:
since the first 1 is (0,5) the (0,8) so +3 so next would be 11
Answer:
5(8/5)^x
Step-by-step explanation:
!! Please help!!
With the exception of 1 and 63, find all the numbers that divide into 63 with no remainder
A. 2, 3,6
B. 3,9,21
c. 3,7
D 3,7,9, 21
E, 3,7,9
Answer:
the factors of 63 are:
1,3,7, 9, 21, 63
D. 3, 7, 9, 21, 63
Step-by-step explanation:
The function h(x) = x + 1 is formed by adding two functions, f(x) and g(x). The function j(x) = 3x – 6 is formed by multiplying the same functions. Which could be true of f(x) and g(x)? Check all that apply.
Both functions must be linear functions.
Both functions must have a positive rate of change.
The rate of change of both f(x) and g(x) must be less than 3.
The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
The y-intercepts of f(x) and g(x) must be between –6 and 1.
Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
Step-by-step explanation:
The true statements about the functions f(x) and g(x) are (a), (c) and (d)
How to determine the true statement?The functions are given as:
h(x) = x + 1
j(x) = 3x - 6
From the question, we have:
h(x) = f(x) + g(x)
j(x) = f(x) * g(x)
Expand the function j(x)
j(x) = f(x) * g(x) = 3 * (x - 2)
By comparison, we have:
f(x) = 3
g(x) = x - 2
f(x) + g(x) = 3 + x - 2
f(x) + g(x) = x + 1
This gives
h(x) = x + 1
By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:
Both functions are linear functionsThe rates of change of the functions are less than 3The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.Hence, the true statements are (a), (c) and (d)
Read more about linear functions at:
https://brainly.com/question/4025726
Set up as equal rates and solve. The distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. How many miles is it from Pensacola to Miami if the distance on the map measures 27 inches?
We have been given that the distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. We are asked to find the actual distance from Pensacola to Miami if the distance on the map measures 27 inches.
We will use proportions to solve our given problem as proportion states that ratio between two proportional quantities is similar.
[tex]\frac{\text{Actual distance}}{\text{Map distance}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]
[tex]\frac{\text{Actual distance}}{\text{27 inches}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]
[tex]\frac{\text{Actual distance}}{\text{27 inches}}\times \text{27 inches}=\frac{200\text{ miles}}{\text{8 inches}}\times \text{27 inches}[/tex]
[tex]\text{Actual distance}=\frac{25\text{ miles}}{1}\times 27[/tex]
[tex]\text{Actual distance}=675\text{ miles}[/tex]
Therefore, the actual distance from Pensacola to Miami is 675 miles.
The population P of birds in an area is modeled by the exponential model
P(t) = 30e-95t where t represents time in years.
Is the population of birds increasing or decreasing?
a. Increasing
b. Decreasing
find the area of the composite figure
Answer:
Quickly learn how to find the Area of Composite Figures in today's geometry lesson. With 19 worked examples, you'll have everything you need ...
Step-by-step explanation:
In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree
Answer:
52.6
Step-by-step explanation:
If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much). To find angle N, we can use trig. We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse. (sin=opposite/hypotenuse). However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator. So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6
I can explain more if you dont understand
Answer:
23
Step-by-step explanation:
WILL MARK BRAINLIEST:
Hello! So I need to know HOW to do this. Please don't do the work for me, I just need an explanation. thank you!
Answer:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.
Answer:
as the other guy said, scientific notation in simple words is expressing large quantities in terms of being multiplied with powers of 10
hence,
11. 7.5 x 10^6
12. 2.9 x 10^5
13. 3.7 x 10^(-4)
14. 1.26 x 10^4
15. 2 x 10^(-7)
16. 4 x 10^(-3)
17.6 x 10^7
18. 4.07 x 10^7
19. 8.1 x 10^(-4)
20. 1.25 x 10^(4)
What is the probability of spinning red on the image shown?
Answer:
37.5%
Step-by-step explanation:
Red is 3/8 so you convert that into a percentage.
The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?
Answer:
2 6 10
Step-by-step explanation:
Percentages less than 100% definition
Answer:
fractions
Step-by-step explanation:
Answer:
A number or ratio expressed as a fraction of 100
Step-by-step explanation:
Use outside of percentages but reused under 100 when explained.
Steepness of a hill or gradient of a line = rise/run x 100
On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.
Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line. Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.