Answer:
9a(9b-10)
Step-by-step explanation:
Select the correct answer.
What is the measure of the indicated central angle ?
A.
None of the above
B.
54°
C.
27°
D.
96°
E.
48°
Answer:
C. 27
Step-by-step explanation:
Arc length = fraction of the circle * circumference
Arc length = fraction of the circle * 2 * pi *r
3/4 pi = fraction of the circle * 2 * pi *5
3/4 pi = fraction of the circle *10 pi
Divide each side by 10pi
3/4 pi
-------- = fraction of a circle
10 pi
3/40 = fraction of a circle
A circle is 360 degrees
3/40 = x/360
Multiply by 360
3/40 *360 = x
27 = x
The table to show how the number of cookies (c) depends on the number of plates (p). Find the values of x and y. List the answer
in the order of x,y
A) 45, 54
B) 54, 63
C) 63, 72
D) 72, 81
Answer:
B
Step-by-step explanation:
because 4 plates multiplied by 9 equals 56 and 5x9=45. Therefore you need to multiply both 6 and 7 by 9 to get your answer. I hope I'm right. :)
look at the attachment
Answer:
3
Step-by-step explanation:
1(8)+2(16)+3(24)+4(32) ÷ 8+16+24+32
8+32+72+128÷ 8+16+24+32 = 240÷80 = 3
What is the solution to the system of equations below?
3x + 4y = 2
2x – 4y = 8
A. (2,-2)
B. (6,5)
C. (4,4)
D. (2, -1)
Answer:
D. (2, -1)
Step-by-step explanation:
Solve completely \large x^4-4=x^3+2x
Move everything to one side and factorize by grouping.
x⁴ - 4 = x³ + 2x
x⁴ - x³ - 2x - 4 = 0
(x⁴ - 4) - (x³ + 2x) = 0
(x² - 2) (x² + 2) - x (x² + 2) = 0
(x² - x - 2) (x² + 2) = 0
(x - 2) (x + 1) (x² + 2) = 0
Then
x - 2 = 0 or x + 1 = 0 or x² + 2 = 0
x = 2 or x = -1 or x² = -2
If x is real, then the third case has no solution. Then x = 2 or x = -1. Otherwise, we can solve over the complexes and include x = ± √2 i where i = √(-1).
The probability of an event is 84%. Describe the likelihood of the event.
Answer:
Please read below.
Step-by-step explanation:
P(event)= favorable outcomes / total outcomes
0.84 * 100 = 84
100 - 84 = 16
84 favorable outcomes
16 unfavorable outcomes
100 total outcomes
Therefore there is a 84% chance of it happening.
Therefore there is a 16% chance of it not happening.
P(event) = 84/100
8.4 out of 10
Describe it how ever you want. 8.4 out of 10 is a pretty good bet to me. I would put my money on it. There isn't a lot of context to the question. But, I hope this helps!
It means 840 times out of 1000 times, an event is likely to happen or in other words, there is an 84% chance of happening an event.
What is probability?Probability is to measure the occurrence of an event.
It is given that
probability of an event = 84% or 0.84
This means, P(E) = 0.84
Number of favorable outcomes/ Total outcomes =84
Let us say Total outcomes are 1000
So favorable outcomes = 1000*0.84
Favorable outcomes = 840
Therefore, It means 840 times out of 1000 times, an event is likely to happen or in other words, there is an 84% chance of happening an event.
To get more about probability visit:
https://brainly.com/question/24756209
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A right rectangular prism has a length of 15 millimeters, a width of 3 millimeters, and a height of 4 millimeters.
What is the surface area of the prism?
Answer:
The answer is 234
Step-by-step explanation:
Hope it helps
What is the value of X?
Solution:
Note that:
3x + 50 = 6x - 10 (Vertically opposite angles)Simplify the equation to find x.
Add 10 both sides.
3x + 50 = 6x - 10=> 3x + 50 + 10 = 6x - 10 + 10=> 3x + 60 = 6xSubtract 3x both sides.
3x + 60 = 6x=> 3x - 3x + 60 = 6x - 3x=> 60 = 3xDivide 3 both sides.
60 = 3x=> 60/3 = 3x/3=> x = 20Answer:
x = 20Step-by-step explanation:
opposite angles = equal angles
we solve with a proportion
3x + 50 = 6x - 10
50 + 10 = 6x - 3x
60 = 3x
x = 60 : 3
x = 20
Jace and jake are brothers and are having a spring party. They will be inviting a lot of friends. There will be a total of 14 people at the party. They will have pizza and soda pop and watch a movie. The soda pop comes in 6 packs and costs $2. 98 per pack. Pizza costs $6.75 each is cut into a slices. The movie costs $4.25 to rent. Each small table can seat 4 people. How many 6 packs of soda do jace and jake need to buy if each person has one pop?
Answer:
3 packs of sodas would need to be bought.
Step-by-step explanation:
6 x 2 = 12 which isn't enough
6 x 3 = 18 which is more than enough
=
Write an exponential function y = abx whose
graph passes through the points (1,6), (2, 18)
Answer:
[tex]2(3) {}^{x} [/tex]
Step-by-step explanation:
[tex]y = ab {}^{x} [/tex]
We know that when x=1, y=6
[tex]6 = a {b}^{1} [/tex]
x=2, y=18
[tex]18 = a {b}^{2} [/tex]
Notice that if we divide
[tex] \frac{ {ab}^{2} }{ab} = b[/tex]
So if we divide 18 and 6, that will give us our common ratio.
[tex] \frac{18}{6} = 3[/tex]
So our common ratio is 3.
So know we have
[tex]a(3) {}^{x} [/tex]
Plug in one of the points to find a.
[tex]6 = a(3)[/tex]
[tex]a = 2[/tex]
So the equation. we have
[tex]2 \times ({3}^{x} )[/tex]
At a toy factory, three out of every
12 dolls are made with curly hair,
What percent of the dolls are
made with curly hair?
Answer:
25%
Step-by-step explanation:
25% of the dolls are made with curly hair.
Answer:
4%
Step-by-step explanation:
12 / 3= 4
choose the sentence that complete the fact family like 2×9=18 18÷9=2 9×2=18 is it a 36÷2=18 b 18÷6=3 c 36÷18=2 d 18÷2=9 is it abc or d
The fact family like equations are 2 × 9 = 18 and 18 ÷ 9 = 2.
What is fact family?A fact family is a group of math equations that shows the relationship between the numbers involved. There are addition and subtraction fact family as well as division and multiplication fact family.
Hence:
2 × 9 = 18 and 18 ÷ 9 = 2 shows a fact family.
Find out more on fact family at: https://brainly.com/question/1250189
A bag of chips has 212 servings in it. How many servings of chips are in 8 bags
Answer:
8
Step-by-step explanation:
I simplified the fraction into a decimal (2.5) then proceeded to multiply it by 8 to compensate for each bag of chips.
If f(x)= 3x^2- 4 and g(x) = 2x-6, what is g(f(2))?
-16
0-2
O 8
10
Answer:
10
Step-by-step explanation:
g(f(x)) = g(3x² - 4) = 2(3x² - 4) - 6
so
g(f(2) = 2(3*2² - 4) - 6 = 2*8 - 6 = 16 - 6 = 10
sfiso is having a party and needs the following
36 bottles of coke
60 cup cakes
what is the ratio of the number of bottles of coke sfiso buys
The ratio of the number of bottles of coke sfiso buys to cupcakes is 3 :5.
What are ratios?Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within another value. The sign used to represent ratios are :.
Ratio of coke bottles to cupcakes = 36 : 60
= 3 : 5
To learn more about ratios, please check: https://brainly.com/question/25927869
here a subtraction problem that has been solved incorrectly what is the right way 74-25=59
Step-by-step explanation:
74-25 is not equal to 59 the correct answer is 74-25=49
The diameter of
a circle is
12 yards.
What is the circumference? d= 12yd
use 3.14 for π
Answer:
37.68 yards
Step-by-step explanation:
Circumference = π x diameter
So if you pull in the numbers to the formula...
circumference = 12 x 3.14
37.68 = 12 x 3.14
what is photography ...........
Answer:
Photography is when you take photo's with style or just take photo's.
Step-by-step explanation:
help me out please omg bro
Answer:
$ 3.75
Step-by-step explanation:
divide 10.50 by 2.8 which gives us 3.75
Answer:
B $ 3.75
Step-by-step explanation:
hope it helps you
Maria earned $60 from babysitting. She donated $6. How much money does Maria donate for every dollar that she earns?
HELP anyone mr brainly or any smart math people and do it fast asap !
Answer:
m∠R = 60°
explanation:
Its a isosceles triangle, thus m∠R = m∠Ptotal interior angles of triangle sum up to 180°Let the angle be x,
x + x + 60° = 180°
2x = 180° - 60°
2x = 120°
x = 60°
Answer:
Step-by-step explanation:
Sum of interior angles in a triangle = 180degree
PQ=QR so triangle PQR is an isosceles triangle
The two base angles of an isosceles triangle are equal
So <R = <P
m<R + m<P + 60degree = 180degree
m<R = (180-60)/2 = 60degree
Solve the system of equations. Enter your answer as an ordered pair (x, y). 4x+y=−1 −5x−2y=−4
Answer:
Step-by-step explanation:
4x + y = - 1 -------------(I)
-5x - 2y = -4 -----------(II)
Multiply the equation (I) by 2 and then add the equations.
(I)*2 8x + 2y = -2
(II) -5x - 2y = -4 {Now add and y will be eliminated}
3x = -6
x = -6/3
x = -2
Substitute x = -2 in equation (I)
4*(-2) + y = -1
-8 + y = -1
y = - 1 + 8
y = 7
Answer:
(-2, 7)
Step-by-step explanation:
4x + y = -1
-5x - 2y = -4
---------------------------------------
2(4x + y = -1) = 8x + 2y = -2
---------------------------------------
8x + 2y = -2
-5x - 2y = -4
3x = -6
÷3 ÷3
x = -2
-----------------------------------------
4(-2) + y = -1
-8 + y = -1
+8 +8
y = 7
I hope this helps!
Please helpp me?!!!! I will fail my Calc class!!
Step-by-step explanation:
Using that fact that,
[tex] \cos(u) = \frac{x}{r} [/tex]
and
[tex] {r}^{2} = {x}^{2} + {y}^{2} [/tex]
We need to find sin which that formua is
[tex] \sin(u) = \frac{y}{r} [/tex]
We know what r and x is so we need to find y.
[tex] {8}^{2} = { - 3}^{2} + {y}^{2} [/tex]
[tex]64 = 9 + {y}^{2} [/tex]
[tex]55 = {y}^{2} [/tex]
[tex] \sqrt{55} = y[/tex]
Sin is positve on the interval pi/2 to pi. so we get
[tex] \sin(u) = \frac{ \sqrt{55} }{8} [/tex]
b.
[tex] \tan(u) = \frac{y}{x} [/tex]
so
[tex] \tan(u) = - \frac{ \sqrt{55} }{3} [/tex]
c.
[tex] \sec(u) = \frac{r}{ x} [/tex]
[tex] \sec(u) = - \frac{8}{3} [/tex]
d.
[tex] \sin(2u) = 2 \sin(u) \cos(u) [/tex]
[tex]2 ( \frac{ \sqrt{55} }{8} )( - \frac{3}{8} ) = \frac{ - 6 \sqrt{55} }{64} = \frac{ - 3 \sqrt{55} }{32} [/tex]
e.
[tex] \cos {}^{} (2u) = \cos {}^{2} (u) - \sin {}^{2} (u) [/tex]
[tex]( \frac{ - 3}{8} ) {}^{2} - ( \frac{ \sqrt{55} }{8} ) {}^{2} = \frac{ - 46}{64} = - \frac{23}{32} [/tex]
In 1949, the inflation rate in the United States was -2%If a car cost $1500 at the beginning of the year, what did it cost at the end of the year
Based on the inflation rate in the United States in 1949, the cost of the car at the end of the year would be $1,470.
What is the cost of the car at year's end?The cost can be found by the formula:
= Cost x (1 + inflation rate)
The inflation rate is negative so solving gives:
= 1,500 x (1 - 2%)
= $1,470
Find out more on inflation at https://brainly.com/question/777738.
Given u = (2, -8) and v = (8, -2), what is u times v?
Answer:
[tex]u\cdot v=32[/tex]
Step-by-step explanation:
Assuming [tex]u[/tex] and [tex]v[/tex] are vectors, their dot product is [tex]u\cdot v[/tex] where [tex]u_1v_1 + u_2v_2[/tex]:
[tex]u\cdot v=u_1v_1+u_2v_2=(2)(8)+(-8)(-2)=16+16=32[/tex]
Therefore, [tex]u\cdot v=32[/tex]
What is the LEADING COEFFICIENT of the polynomial: 2x^2y - 7x^2y^3 + 6xy^2
Answer:
-7
Step-by-step explanation:
Leading coefficient: the number written in front of the variable with the largest degree.
If a term has two or more variables, its degree is the sum of the exponents of its variables
For [tex]2x^2y - 7x^2y^3 + 6xy^2[/tex]
The degree of the first term of the polynomial is 3 (2 + 1 = 3)The second term of the polynomial is of degree 5 (2 + 3 = 5)The third term of the polynomial is of degree 3 (1 + 2 = 3)Therefore, the leading coefficient is -7 since the greatest sum of the exponents is of the second term.
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{The\;coefficient\;is\;-7}}[/tex]
[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]
Hi! Hope you are having a nice day!
The leading coefficient of the given polynomial is -7.
Why? Because the leading coefficient is the number written before the variable with the largest exponent.
In this case, it's -7, because it's written next to a term that's cubed, and that's the largest exponent in the polynomial.
Also, if a term has two variables (or more) then we add the exponents in that term in order to get the degree of the term.
In this case, it's 5.
Hope you could understand everything.
#CarryOnLearning
A basket is filled with white eggs and brown eggs. Half of the white eggs are cracked.
An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg?
Write your answer as a fraction.
A bag contains six red balls and six blue balls. If three balls are selected at random what is the probability of getting three red balls?
Mario bought tickets to the amusement park. They were originally 45$ each. However, they were on sale for 30$. What percentage discount did Mario recieve?
solve the system y= 4x + 1 and 3x+2y =13
Given :
[tex]{\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}[/tex]
[tex]{\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}[/tex]
Now, Substituing the value of y in equation (ii) :
[tex]{\qquad \sf \dashrightarrow \: 3x + 2y = 13 }[/tex]
[tex]{\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }[/tex]
[tex]{\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }[/tex]
[tex]{\qquad \sf \dashrightarrow \: 11x + 2 = 13 }[/tex]
[tex]{\qquad \sf \dashrightarrow \: 11x = 13 - 2 }[/tex]
[tex]{\qquad \sf \dashrightarrow \: 11x = 11 }[/tex]
[tex]{\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }[/tex]
[tex]{\qquad \sf \dashrightarrow \bf \: x = 1 }[/tex]
Now, substituting the value of x in equation (i) :
[tex]{\qquad \sf \dashrightarrow y= 4x + 1}[/tex]
[tex]{\qquad \sf \dashrightarrow y= 4(1) + 1}[/tex]
[tex]{\qquad \sf \dashrightarrow y= 4 + 1}[/tex]
[tex]{\qquad \bf \dashrightarrow y= 5}[/tex]