Answer: $228
Step-by-step explanation:
Which expression is equivalent to (3x-2)(x+3) ?
A. 4x^2 + 4x + 1
B. 3x^2 + 11x + 6
C. 3x^2 + 7x - 6
D. 4x + 1
Answer: C. 3x^2 + 7x - 6
Step-by-step explanation:
3x^2 + 9x -2x -6
3x^2 + 7 - 6
Hope you got it.
Mark me as Brainliest Please.
Which function of x has the least value for the y-intercept?
A
y=-4x+ 15
Х
B
Х
4
3
2
1
-4-3-2-1
-1
-3
-
С
y=2x-3
D
x
Answer:a
Step-by-step explanation:
What expressions are equal to -5
Describe and correct the error in using the diagram to find the value of x.
Hi there!
The error in using the diagram to find x in the solving is that they only picked two angles and equated to 180° which is wrong. You'll find out that their final value for x contains a decimal point which should never be in angles.
The above diagram is a revolution (360°) or angle at a point, so all the angles have to be considered and equated to 360° and NOT 180°
Below is the corrected solving.
[tex]13x + 45 + 12x - 40 + 19x + 3 + 6x + 2 = 360[/tex]
(reason: angles at a point = 360°)
Collect like terms, and make x the subject of formula.
[tex]⟹50x + 10 = 360[/tex]
[tex]⟹50x = 360 - 10[/tex]
[tex]⟹50x = 350[/tex]
Now, divide both sides by 50 to find the value of x.
[tex] \frac{50x}{50} = \frac{350}{50} [/tex]
Therefore:
[tex]x = 7[/tex]
8th grade math plz help
Answer: D I think?
Step-by-step explanation:
100 students are interviewed to see which of biology, chemistry or physics they prefer.
39 of the students are girls. 21 of the girls like biology best.
16 of the boys prefer physics.
11 out of the 34 who prefer chemistry are girls.
What percentage of the students prefer biology?
.
Answer:
43%
Step-by-step explanation:
There are 39 girls. 21 of them like biology. 11 out of 34 who like chemistry are girls.
No. of girls who prefer biology = 21
There are (100-39) boys. 16 of them like physics. (34-11) of them like chemistry.
No. of boys who prefer biology = 100-39-16-34+11
= 22
Percentage of students who prefer biology = [tex]\frac{21+22}{100}[/tex] × 100%
= [tex]\frac{43}{100}[/tex] × 100%
= 43%
Sheila bought several bags of balloons and boxes of candles. The candles cost $15 per bix, and the balloons cowt $8 per bag. She bought a total of 17 bags and boxes and paid a total kf $192. How manh bags of balloons did sheila buy?
Answer:
balloons= 9
candles= 8
Step-by-step explanation:
let the number of balloons be x
and candles be y
So
15x+8y=192----------1
x+y=17--------------2
from 2, x= 17-y
put x= 17-y in 1
15( 17-y)+8y=192
255-15y+8y=192
solve for y
-7y=192-255
-7y=-63
x=63/7
x=9
put x= 9 in 1
9+y=17
y= 17-9
y=8.
Find the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13
The coordinates of the midpoint are 22,-4.
What is a midpoint?A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.
Given that the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13.
The midpoint will be calculated as:-
M = ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2 ,
M = ( 16 + 28 ) / 2 , ( 5 - 13 ) / 2 ,
M = ( 44 ) / 2 , ( -8 ) / 2 ,
M = 22 , -4
Therefore, the coordinates of the midpoint are 22,-4.
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pls help me
1. If y = 24 when x = 2, find y when x is 9.
2. If y = 18 when x = 25, find y when x is 30.
3. If y = 10 when x = 1, find y when x is 20.
4. If y = 10 when x = 21, find x when y is 35
9514 1404 393
Answer:
direct: 108; inverse: 16/3direct: 108/5; inverse: 15direct: 200; inverse: 1/2direct: 147/2; inverse: 6Step-by-step explanation:
We cannot tell what kind of proportionality to assume here.
If x and y are directly proportional, multiplying one by a factor will multiply the other by the same factor.
If x and y are inversely proportional, multiplying one by a factor will divide the other by the same factor.
__
1. Given (x, y) = (2, 24). Direct: y = 9/2(24) = 108.
Inverse: y = 2/9(24) = 16/3
__
2. Given (x, y) = (25, 18). Direct: y = 30/25(18) = 108/5.
Inverse: y = 25/30(18) = 15.
__
3. Given (x, y) = (1, 10). Direct: y = 20/1(10) = 200.
Inverse: y = 1/20(10) = 1/2.
__
4. Given (x, y) = (21, 10). Direct: x = 35/10(21) = 147/2.
Inverse: x = 10/35(21) = 6.
There are 270 calories in 5 ounces of a certain ice cream how many calories are there in 2 pounds
1 pound = 16 ounces (general knowledge)
270 calories divided 5 ounces
1 ounce= 54 calories
2 pounds = 32 ounces
32 ounces × 54 calories = 1728
2 pounds = 1728 calories
A school has 109 students signed up for a science workshop. The school will buy every student attending the workshop a pencil, a folder, and an eraser. A package of 12 erasers is $0.75. Only whole packages of erasers can be bought. Folders are $0.10 each. A package of 8 pencils is $0.50. Only whole packages of pencils can be bought. How much will the school spend?
Answer:
The amount is $25.4
Step-by-step explanation:
There are 109 students to attend the science workshop.
Number of erasers needed is 109, but whole packages of erases can be bought which consist 12 erasers. The total packages of erasers needed would be 10.
The cost of 10 packages of erasers = $0.75 x 10
= $7.5
The cost of 109 folders = 109 x $0.10
= $10.9
Number of pencils needed is 109, but whole packages of pencils can be bought which consist 8 pencils. The total packages of pencils needed would be 14.
The cost of 14 packages of pencils = $0.50 x 14
= $7.0
Total cost = $7.5 + $10.9 + $7.0
= $25.4
The amount that would be spent by the school is $25.4
Answer:
25.4
Step-by-step explanation:
Write the function whose graph is the graph of y=x, but is translated 5 units to the left.
Answer:
vsgysshsbsjjsdjususushdggdhwhs
Find d²y/dx² in terms of x and y.
y^5 = x^7
d²y/dx² =????
Answer: [tex]\frac{14y}{25x^2}[/tex]
====================================================
Work Shown:
First calculate [tex]\frac{dy}{dx}[/tex] through the use of implicit differentiation.
Don't forget about the chain rule.
[tex]y^5 = x^7\\\\\frac{d}{dx}\left[y^5\right] = \frac{d}{dx}\left[x^7\right]\\\\5y^4\frac{dy}{dx} = 7x^6\\\\\frac{dy}{dx} = \frac{7x^6}{5y^4}\\\\[/tex]
Go back to line 3, shown above, and apply the derivative to both sides.
You'll be using the product rule.
[tex]5y^4\frac{dy}{dx} = 7x^6\\\\\frac{d}{dx}\left[5y^4\frac{dy}{dx}\right] = \frac{d}{dx}\left[7x^6\right]\\\\\frac{d}{dx}\left[5y^4\right]*\frac{dy}{dx}+5y^4*\frac{d}{dx}\left[\frac{dy}{dx}\right] = 42x^5\\\\20y^3*\frac{dy}{dx}*\frac{dy}{dx}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]
Use substitution and isolate [tex]\frac{d^2y}{dx^2}[/tex] to get the following:
[tex]20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\20y^3*\left(\frac{7x^6}{5y^4}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5y^5}+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5x^7}+5y^4\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]
[tex]\frac{196x^5}{5}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\5y^4*\frac{d^2y}{dx^2}=42x^5-\frac{196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{210x^5-196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{14x^5}{5}\\\\[/tex]
[tex]\frac{d^2y}{dx^2}=\frac{14x^5}{5}*\frac{1}{5y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5}{25y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5*x^2}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14x^7}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y^5}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y}{25x^2}\\\\[/tex]
PLEASE HELP MEEEEE!!!!!
Answer:
I think it might be d
Step-by-step explanation:
Point P( 1, –1) is rotated 180°, then translated
( − 1, − 2).What is P′′?
Answer:
P" = (-2, -1)
Step-by-step explanation:
When a point P(x, y) is rotated 180° clockwise or anticlockwise the coordinates of the new point P'(x', y') become (-x, -y). The rotated point has coordinates which are negative of the original coordinates
When a point is translated (a, b) then new coordinates become (x + a,, y + b)
Here point P is (1, -1)
Rotation by 180° ⇒ rotated point P'(-1, 1)
If we translate P' by (-1, -2) translated point
P" has coordinates x" = -1 -1 = -2 and y" = 1 -2 = -1
So coordinates of P" are (-2, -1)
Tyler has a ramp for his skateboard that measures 17 feet long. The vertical height is 8
feet from the ground to the top of the ramp. What is the horizontal distance from the base
of the ramp to the support? (Hint: draw a picture)
Answer:
15
Step-by-step explanation:
Hypotenuse: 17ft long
Height: 8ft long
17^2 = 8^2 + b^2
b^2 = 17^2 - 8^2
b = √225
b = 15
The question is on the picture
Answer: slope is 5/4 and y intercept is -7
Y=mx(slope)+b(y-intercept)
All of the following are requirements to serve in the Senate EXCEPT:
A.
A candidate must be at least 30 years old.
B.
A candidate must be a resident of the state he/she wishes to represent.
C.
A candidate must be born in the United States.
D.
A candidate must be a citizen of the United States.
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
Senators don't need to be born in the United States. They only need nine years of U.S. citizenship to qualify for office.
Answer:
its c cause its cool
Step-by-step explanation:
\left|\left|x-5\right|+2\right|\le 3
Answer:= x +27 Solve for x x = 326 = 8 32 ≈ 8.666666667
pls help i need the answer
Answer:
(3,22.50)
(6, 33)
Rise/Run using two points
33-22.50/ 6-3
10.5/3
Rate = 3.5
30% of all Skittles are supposed to be purple.
a) If there are 84 skittles in a pack, how many should be purple? (Response area)
b) What percentage or skittles are not purple? (Response area)
c). Assuming that there are 18 purple Skittles in a pack, then how many total Skittles are there? (response area)
Answer:
a) 25
b) 59
c) Too lazy
Step-by-step explanation:
If 30% were to be a decimal, it would be 0.3 because 30% of 1 is 0.3. We will use this to figure out how many purple skittles there are.
A) To find the amount of purple skittles we must multiply the total number of skittles by the percent (in this case 0.3). Equation = (84*0.3=25.2) You can't really have 0.2 of a skittle so we would round down to the whole number (25).
B) Knowing the number of purple skittles, finding the number of non-purple skittles is straightforward. All you have to do is subtract the # of purple skittles from the total amount of skittles (84-25=59).
C) Kinda forgot how to do this but good luck
MAKING AN ARGUMENT In an aerial ski competition, you perform two acrobatic ski jumps. The scores on the two jumps are then added together.
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).In this exercise, you're required to describe the score which this ski jumper must earn on the second jump to beat his or her competitor. Therefore, let x represent the score of his or her second acrobatic ski jump.
Based on the competitor's score of 119.8 in the second jump, this ski jumper must earn the following score represented by this inequality:
x > 119.8
Who is correct?From the table (see attachment), we can logically deduce that the competitor's score in the first ski jump is equal to 117.1. This ultimately implies that, the ski jumper's score can be modeled by this inequality:
x > 117.1
In this context, we can reasonably infer and logically deduce that both the coach and the teammate are correct because a score of "118.4" and "117.5" are greater than a score of "117.1."
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Complete Question:
MAKING AN ARGUMENT
In an aerial ski competition, you perform two acrobatic ski jumps. The scores on the two jumps are then added together.
a. Describe the score that you must earn on your second jump to beat your competitor.
b. Your coach says that you will beat your competitor if you score 118.4 points. A teammate says that you only need 117.5 points. Who is correct? Explain.
Use the values ln 4≈1.4 and ln 100≈4.6 to find the approximate value of log 4 100. log4100≈6.0
log4100≈0.30
log4100≈3.3 l
log4100≈6.4
By using logarithm properties and arithmetic operations, the approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.
How to estimate the value of a logarithm by base change property for logarithms
In this problem we find two approximate value of two natural logarithms and we are asked to find the value of a logarithm of base 10 in terms of the two natural logarithms, whose approximate values are given. This can be done by using logarithm properties, especially the base change property:
㏒₄ 100, ㏑ 4, ㏑ 100 Given
㏑ 100 / ㏑ 4 Base change property of logarithms
4.6 / 1.4 Substitution of each logarithm (Step 1)
23 / 7 Amplification of fraction / Definition of multiplication
3.286 Definition of division / Result
The approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.
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Write the augmented matrix for the following system of equations.
-2z=-4y-9x
0=4x+6z+2
2z=2+3y
The augmented matrix for the system of equations is given as follows:
[tex]\left[\begin{array}{cccc}9&4&-2&0\\4&0&6&-2\\0&-3&2&2\end{array}\right][/tex]
What is a system of equations?A system of equations is when multiple variables are related, and equations are constructed to find the values of each variable. There are multiple ways to solve a system, and one of the most usual is in a matricial way, as the augmented matrix of the system is constructed.
In standard notation, the system is given by:
9x + 4y - 2z = 0.4x + 0y + 6z = -2.0x - 3y + 2z = 2.The augmented matrix for a system with variables x, y and z is constructed as follows:
The first column contains the coefficients of x.The second column contains the coefficients of y.The third column contains the coefficients of z.The fourth column contains the results of the operations.Hence for this system, the matrix is given by:
[tex]\left[\begin{array}{cccc}9&4&-2&0\\4&0&6&-2\\0&-3&2&2\end{array}\right][/tex]
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What are the coordinates for a dilated triangle, A'B'C', if
the scale factor for the dilation is 0.75?
Answer:
3
Step-by-step explanation:
Answer: Answer is D
Step-by-step explanation:
I just did the question
I answered it but i dont see the right answer tell what you think
Answer:
The answer you selected, E, A, D, C, B, is correct
Step-by-step explanation:
So, to solve this, you would first need to put all of the given numbers into the same form, and in this example, I will put them all in decimal form.
Once put in decimal form, here is the value of each letter:
A: 4.35B: 4.89C: 4.60D: 4.50E: 4.20You can now put the numbers in least to greatest order, which will get you the answer E, A, D, C, B.
Hope I helped!!! :)
Will mark brainliest for whoever answers
Answer:
The correct answer is A.) as the diameter of a bubble increases, the volume of the bubble increases
Step-by-step explanation:
A cyclist travels 21 miles in 45 minutes.
What is his average speed in mph?
Answer:
28 mph
Step-by-step explanation:
1h = 60m
45m --- 21 miles
60m --- [tex]\frac{60}{45}[/tex] × 21 miles = 28 miles
Thus, his average speed is 28 mph.
Find the compound interest on ₹ 31,250 at 12% pa for 2 1/2 years
pls give step by step explanation
Answer:
42,183
Step-by-step explanation:
We will use the Continuous Compounding Interest since a regular interval was not stated.
P(t) = Pe^(rt)
We will plug in the variables to the formula
P(t) = 31250 * e^(.12 * 2.5)
We can simplify and evaluate the compound interest.
P(t) = 42183.08
Which of the following is a factor of 32x + 4? (1 point)
O 2x -1
O 4x-4x + 1
O 4x²- 2x + 1
O Nonc of thc abovc
Answer:
2x-1
Step-by-step explanation:
hope you get help from me