Answer:
[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]
Step-by-step explanation:
1) Use this rule: a/b × c/d = ac/bd.
[tex]4 + 54 + \frac{5x \times {3x}^{2} }{y} - {3x}^{2} [/tex]
2) Take out the constants.
[tex]4+54 + \frac{(5 \times 3) {xx}^{2} }{y} - {3x}^{2} [/tex]
3) Simplify 5 × 3 to 15.
[tex]4 + 54 + \frac{ {15xx}^{2} }{y} - {3x}^{2} [/tex]
4) Use the product rule: x^a x^b = x^a + b.
[tex]4 + 54 + \frac{15xx^{2} }{y} - 3x^{2} [/tex]
5) Simplify 1 + 2 to 3.
[tex]4 + 54 + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]
6) Collect like terms.
[tex](4 + 54) + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]
7) Simplify.
[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]
Therefor, the answer is 58 + 15x³ / y - 3x².
What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 fort and enter your answer as a decimal.
MA
As
d=8
MY
Co
MY
units
Answer:
[tex]A=50.24\ \text{unit}^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the circle, d = 8 unit
Radius, r = 4 units
We need to find the area of the circle. The formula for the area of a circle is given by :
[tex]A=\pi r^2\\\\A=3.14\times 4^2\\A=50.24\ \text{unit}^2[/tex]
So, the area of the circle is equal to [tex]50.24\ \text{unit}^2[/tex].
Although television HDTV converters are tested before they are placed in the installer's truck, the installer knows that 20 percent of them still won't work properly. The driver must install eight converters today in an apartment building.
(a) Ten converters are placed in the truck. What is the probability that the driver will have enough working converters?
Answer:
80%
Step-by-step explanation:
What is the product of (x−4) and (x2−7x+10)?
x2−6x+6
x2−8x+14
x3−11x2+38x−40
x3−3x2−18x−40
What’s the answer it says chose all
Answer:
B and C are correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 40
x = 120
The < sign means less than.
38 is less than 25, but it is less than 40 and 120.
Hope that helps!
-Sabrina
how do i find r in a geometric sequence of (243, 81, 27)? also how do i find the explicit formula for this?
Answer:
Step-by-step explanation:
The initial term is 243. Since it is a geometric sequence, each term is r times the preceding term.
r = 81/243 = ⅓
nth term = a₁rⁿ⁻¹ = 243(⅓)ⁿ⁻¹
100 POINTS AND BRAINLIEST !!!!! (I need the answer ASAP) A school is planning to construct two rectangular play areas in the playground.
The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play area A, and the length must be 2 feet longer than three times its own width. In addition, the areas of the two play areas must be equal.
Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement describes the number and viability of the system’s solutions?
A.
The system has two solutions, and both are viable because they result in positive widths.
B.
The system has only one solution, but it is not viable because it results in a negative width.
C.
The system has two solutions, but only one is viable because the other results in a negative width.
D.
The system has only one solution, and it is viable because it results in a positive width.
Answer:
D.
Step-by-step explanation:
I'ts just reading the question over and over.
Answer:
The Answer is C
Step-by-step explanation:
I blessed you all and just guessed on the test on Plato/Edmentum and this was the right answer.
I need help ASAP will mark the brainliest
Answer: 7,3
Step-by-step explanation: do the x line the y line (not the best explanation)
Answer:
16,7
Step-by-step explanation:
The answer is 16,7 because y value will go up 3 since the JKLM is the same and x value will go right 10.
Y+3, x+10
Hope this help!
If a right circular cone is intersected by a plane only at its vertex, as in the picture below, what shape is produced?
Answer:
A right circular cone can be intersected by some plane to produce circle, ellipse, hyperbola depending upon where the plane is crossing the cone.
But if the plane crosses at the vertex. Just one point is crossed.
Answer:
a point hope this helps
Tapiwa raked 5% more leaves than Adam raked. Tapiwa raked 357 liters of leaves.
How many liters of leaves did Adam rake?
Answer:
340 liters
Step-by-step explanation:
This means that Tapiwah raked x plus 5% of x leaves. Knowing that Tapiwah actually raked 357 liters, we can find the value of x as follows. So, Adam raked 340 liters of leaves.
What is the solution to the system of linear equations?
O (-3,0)
O (-3, 3)
O (0, 2)
O (3, 1)
The point of intersection of lines represents the common solution of the system of linear equations. The solution of linear equations given in the graph is (0,2).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Linear equation represents a line on the graph.
The system of linear equations represents couple/s of linear equations or lines.
Here, The solution of system of linear equations means the common point satisfying the different linear equations.
Hence, Graphically, the point of intersection of two lines represents the common solution of these two lines or simply the solution of the system of linear equations.
So, the point of intersection from the given graph is (0,2).
Therefore, the solution of linear equations given in the graph is (0,2).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Please help find z (use pic)
Answer:
i cant see it will you type it please!
Factor 10x2 – 42x – 108.
Question 20 options:
A)
(5x + 9)(x + 6)
B)
2(5x + 9)(x – 6)
C)
(x + 9)(5x – 6)
D)
2(10x – 9)(x + 6)
Answer:
B
Step-by-step explanation:
You have to know how to factor polynomials.
2(5x^2-21x-54)
2(5x^2-30x+9x-54)
2(5x(x-6)+9(x-6))
2(5x+9)(x-6)
Quick please! I need it
Answer: A = 1/2 b x h
Step-by-step explanation:
Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News). The 2017 market shares are Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models comprising the remaining 23%. A sample of 400 compact car sales in Chicago showed the following number of vehicles sold.
Honda Civic 98
Toyota Corolla 72
Nissan Sentra 54
Hyundai Elantra 44
Chevrolet Cruze 42
Ford Focus 25
Others 65
Use a goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales. Using a 0.05 level of significance, what is the p-value?
The p-value is ___________.
What is your conclusion?
Conclude that the markets shares for the five compact cars in Chicago ______________the market shares reported.
What market share differences, if any, exist in Chicago? Round your answers to three decimal places. Enter negative values as negative numbers.
Sample
Compact Car Market Share Hypothesized Market Share Difference
Honda Civic - 0.20 =
Toyota Corolla - 0.17 =
Nissan Sentra - 0.12 =
Hyundai Elantra - 0.10 =
Chevrolet Cruze - 0.10 =
Ford Focus - 0.08 =
Others - 0.23 =
Answer:
Pvalue = 0.020335
X² = 14.99
CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES
Step-by-step explanation:
H0 : there is no difference in market shares
H1: there is difference in market shares
Chisquare (X²) = (observed - Expected)²/ expected
Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05
Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235
Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75
Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4
Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1
Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531
Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924
X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99
The obtain the Pvalue ;
We use the Pvalue from Chisquare calculator :
Pvalue(14.99, 0.05, df= 6) = 0.020335
Decision region :
Reject H0 ; if Pvalue < α
THERE IS DIFFERENCE IN MARKET SHARES
Market share differences:
* 98/400 = 0.245,
0.245-0.20 = 0.045
* 72/400 = 0.18,
0.18 - 0.17 = 0.01
* 54/400 = 0.135,
0.135 - 0.12 = 0.015
* 44/400 = 0.11,
0.11 - 0.10 = 0.01
* 42/400 = 0.105
0.105 - 0.10 = 0.005
* 25/400 = 0.0625
0.0625-0.08 = -0.0175
* 65/400 = 0.1625
0.1625 - 0.23 = -0.0675
2 4/10?
round to nearest whole number
Answer: 2
2.5 and up we round up
2.4 and lower we round down
Answer:
2
Step-by-step explanation:
2 4/10
4/10 is less than 0.5 so we round down to 2
Use a calculator to solve the equation.
−9.5x + 0.81 = −2.99
The solution is x =
Answer:
x = 0.4
Step-by-step explanation:
Answer:
x=0.4
Step-by-step explanation:
Given function:
-9.5x+0.81=-2.99find xCombine first value by 0.81:
-9.5+0.81=-2.99-19x/2+0.81=-2.99Subtract 0.81 both from sides:
-19x/2+0.81-0.81=-2.99-0.81Simplifly -19x/2:
-19x/2=-3.8Multiply all terms by similar term:
2·19x/2=2·3.8Divide both terms by -7.6:
-19x/-19-7.6/19=0.4Therefore, x=0.4.
4 and b = 5.
Evaluate the given expression when a
2a + 6b
HELP
PLEAAASSSSEEEEE HELP ME WITH THIS I REALLY NEED HELP PLEASE PUT THE CORRECT ANSWER
1.
Calculate the following:
(4 + 2) + ( x 1
2. Simplify the following
a. 37423-4
b. 9-2
First answer is 6+x
2. A.37419
B. 7
solve for the value of p
Answer:
43°
Step-by-step explanation:
p + 7° + 3p+ 1° = 180° ( Being linear pair)
4p + 8° = 180°
4p = 180° - 8 °
4p = 172°
p = 172° / 4
p = 43°
Hope it will help :)❤
10 points || answer ASAP if you can
Answer:
It would affect the mean, range, and standard deviation
Step-by-step explanation:
I got this right on the test :)
help solve for x. round to the nearest tenth
Answer:
60.1
Step-by-step explanation:
Use cosine for this one- you get cos37 = adjacent/hypotenuse, or cos37 = 48/x
Solve for x and x = 48/cos37, or 60.1
Hopefully this helps! Let me know if you have any questions
Answer:
Pretty sure it's 60.1
The circumference of a circle is 15 units. How many units long is its diameter?
Answer:
diameter = 4.78 units
Step-by-step explanation:
15/3.14 = 4.78 units
Please please help me it really late we’re I am so and I Need to bring my grade up please
Answer
here :)
Step-by-step explanation:
for 1) the answers are...
x y
-6 -10
3 -1
-7 -11
0 -4
-3 -7
for number 2 the answers are...
x y
6 -2
1 -7
-8 -16
-7 -15
2 -6
for number 5 the answers are...
x y
1 -6
2 -5
-6 -13
6 -1
-9 -16
for number 6 the answers are...
x y
8 64
7 56
6 48
9 72
-8 -64
for number 9 the answers are...
x y
2 -3
-9 -14
8 3
-5 -10
9 4
for number 10 the answers are...
x y
5 -15
-9 27
7 -21
0 0
-3 9
In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I
△ ABC ≅ △ QPR
△ ABC ≅ △ QRP
△ ABC ≅ △ RQP
Given:
In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.
To find:
The correct congruency statement for the given triangles.
Solution:
In △ABC and △PQR,
[tex]AB=QR=5\ cm[/tex] (Given)
[tex]BC=PQ=6\ cm[/tex] (Given)
[tex]AC=PR=8\ cm[/tex] (Given)
All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.
[tex]\Detla ABC\cong \Delta RQP[/tex] (SSS congruency postulate)
Therefore, the correct option is C.
Miguel and Kat are reading the same book. Miguel reads 5 times as many
pages of the book as Kat. Together they read 54 pages. Write an equation
that can be used to find how many pages Kat read.
Answer:
[tex]k=\dfrac{m}{5}[/tex]
Step-by-step explanation:
Let Kat reads k pages of the book.
Miguel reads 5 times as many pages of the book as Kat. So,
m = 5k ...(1)
Together they read 54 pages. i.e.
m+k = 54 ...(2)
From equation (1),
[tex]k=\dfrac{m}5{}[/tex]
Hence, the equation that can be used to find how many pages Kat read is equal to [tex]\dfrac{m}{5}[/tex].
Write the following in descending order.
I. 0.1 II. 0.009 III. 0.09 IV. 1
A. I, III, II, IV
B. III, I, IV, II
C. II,IV, I, III
D. IV, I , III, II
Answer:
IV, I, III and II
Step-by-step explanation:
Given
I. 0.1 II. 0.009 III. 0.09 IV. 1
Required
Write in descending order
In descending order means, from greatest to least.
From the given list of numbers,
The greatest is 1 (IV)
Followed by 0.1 (I)
Followed by 0.09 (III)
Then, the least is 0.009 (II)
So, the order is: IV, I, III and II
What are the solutions of 12 - x² = 0
Answer:
2sqrt(3),-2sqrt(3)
Step-by-step explanation:
12-x^2=0
-x^2=-12
x^2=12
x=-sqrt(12),sqrt(12)
x=2sqrt(3),-2sqrt(3)
solve for the following equation
6Y+4 = 4y-2
Answer:
y = -3
Step-by-step explanation:
6y +4 = 4y- 2
2y= -6
y= -3
pls Mark as brainliest
if 2 angles of a triangle have measures of 58 and 101 degrees what is the measure of the 3rd
Answer:
21 degrees
Step-by-step explanation:
the sum of the three angles in a triangle equal 180. take the known angles (58 and 101) and subtract them from 180. 180-129=21