Answer: B: 120
Step-by-step explanation:
You multiply these choices together to get your result: 5 x 4 x 3 x 2 (x 1) = 120.
Since there are 5 choices to choose from.
please asap thanks :D
Answer:
f, g, and h only
Step-by-step explanation:
The letters are the variables.
The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term in the parabola's equation?
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
Solve the system. 2(y - x) = 5 + 2x 2(y + x) = 5 - 2y A) ( 1 2 , 3 2 ) B) (−2, 2 3 ) C) (− 1 2 , 3 2 ) D) ( 1 2 , − 3 2 )
Answer: C) [tex](-\dfrac{1}{2},\dfrac{3}{2})[/tex]
Step-by-step explanation:
The given system of equations :
[tex]2(y-x) = 5+2x\ \ ...(i)\\\\ 2(y+x)=5-2y\ \ ..(ii)[/tex]
Simplify left side, we get
[tex]2y-2x=5+2x\Rightarrow\ 2y-4x=5\ \ ...(iii)\\\\ 2y+2x=5-2y\Rightarrow\ 4y+2x=5\ \ ...(iv)[/tex]
Multiplying 2 on equation (iii), we get
[tex]4y-8x=10\ \ ...(v)[/tex]
Subtracting (v) from (iv) , we get
[tex]2x-(-8x)=5-10\\\\\Rightarrow\ 2x+8x=-5\\\\\Rightarrow\ 10x=-5\\\\\Rightarrow\ x=-\dfrac{5}{10}=-\dfrac{1}{2}[/tex]
Put value of [tex]x=-\dfrac{1}{2}[/tex] in (v), we get
[tex]4y-8(-\dfrac{1}{2})=10\\\\\Rightarrow \ 4y+4=10\\\\\Rightarrow\ 4y=10-4=6\\\\\Rightarrow\ y=\dfrac{6}{4}=\dfrac{3}{2}[/tex]
hence, the solution to the system is [tex](x,y)=(-\dfrac{1}{2},\dfrac{3}{2})[/tex]
What is the order of rotational symmetry of a regular hexagon
Answer:
Step-by-step explanation:
the order is 6
the solution of the pair of linear equation: 2x+3y=6 and 3x-5y=2 are.............
Step-by-step explanation:
just simplify the above equation and substitute in the second one.
Answer:
Step-by-step explanation:
2x+3y=6 -----1
3x-5y=2-----2
solving by elimination method,
multiply eq1 with3
multiply eq2 with2
you will get,
6x+9y=18----3
6x-10y=4----4
eq3-eq4=
19y=14
y=14/19------5
substitute eq 5 in eq 1
you will get,
x=50/19...
hope it helps...pls mark brainliest if it does...
PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?
Hey there! :)
Answer:
y = 0, also known as the x-axis.
Step-by-step explanation:
The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.
There is an asymptote at y = 0, or the x-axis because:
[tex]\frac{2}{3} ^{x}\neq 0[/tex]
An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.
One pump can fill a reservoir in 60 hours. Another pump can fill the same reservoir in 80 hours. a third can empty the reservoir in 90 hours. If all three pumps are operating at the same time, how long will it take to fill the reservoir?
one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.
isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!
Answer:
1/time needed = 1/time of 1st pump + 1/time of 2nd pump - 1/time of 3rd pump
1/t = 1/t1 + 1/t2 - 1/t3
1/t = 1/60 + 1/80 - 1/90
1/t = 12/720 + 9/720 - 8/720
1/t = 13/720
t = 720/13 hours = 55.38 hours = 55 hours 23 minutes
What is the slant height of the pyramid to the nearest 10th
15.5mm
13.9mm
12.5mm
19.0mm
Find the missing side to the triangle in the attached image.
Answer:
15Solution,
Hypotenuse(h)= 25
Base(b)= 20
perpendicular (p)= X
Now,
Using Pythagorean theorem:
[tex] {p}^{2} = {h}^{2} - {b}^{2} \\ {x}^{2} = {25}^{2} - {20}^{2} \\ {x}^{2} = 625 - 400 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = \sqrt{ {15}^{2} } \\ x = 15 [/tex]
Hope this helps...
Good luck on your assignment..
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 20² = 25² , that is
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Please help me. Area of a circle
Answer:
Area = πr²
= π * 2²
= 3.14 * 4
= 12.6
Answer:
[tex] \boxed{\sf Area = 12.6 \: {cm}^{2}} [/tex]
Given:
Radius of circle (r) = 2 cm
To Find:
Area of circle
Step-by-step explanation:
[tex] \sf Area \: of \: circle = \pi {r}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {2}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3.14 \times 4 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =12.56 \: {cm}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \approx 12.6 \: {cm}^{2} [/tex]
Write the equation of the line, in standard form, that passes through the points (-2, 2) and (4, 5). Show all work for credit.
Answer:
x - 2y + 6 = 0
Step-by-step explanation:
Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3. Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.
Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get
2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3. Then the slope-intercept form of the desired equation is y = (1/2)x + 3. To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or
x - 2y + 6 = 0
It’s a hot hard to understand. Can anyone help me?
Answer:
x+1/4 + x + 2/ 3
Step-by-step explanation:
To write x+1 /4 as a fraction with a common denominator, multiply by 3/3
To write x+2/3 as a fraction with a common denominator, multiply by 4/4
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1
Combine the numerators over the common denominator
(x+1) x 3 + (x+2) x 4 / 12
Answer Is: 7x+ 11/ 12
Trevor is building a deck. He has enough wood to build a 15 ft2 deck. Trevor wants
the deck to be 2 ft longer than it is wide. He sets up the following equations to
help him determine the dimensions of the deck.
x(x + 2) =15
x + 2x -15 =0
where xis the width of the deck in feet.
How wide should Trevor make his deck? To solve for x, first factor the
left side of the equation. Note: The width of the deck must be positive.
Ignore negative values for x.
Answer:
The deck width is 3
Step-by-step explanation:
Your
x(x + 2) =15
x + 2x -15 =0
should be:
x(x + 2) =15
x^2 + 2x -15 =0.
Factoring this, we get
x^2 + 2x -15 =0 = (x + 5)(x - 3) = 0,
which yields: x = 3 and x = -5. As the problem states, we discard the negative root and focus on the positive one (x = 3).
The deck width is 3 and the length is (3 + 2), or 5.
What percent of 1/2 is 1/4? (Round to the nearest whole percent.)
Answer:25
Step-by-step explanation:
Find the number of 4-digit numbers that contain at least three odd digits.
Answer:
3000
Step-by-step explanation:
First find the 4 digit numbers that have all odd digits
Possible Odd digits =5(1,3,5,7,9)
So, total number of 4 digit numbers with odd digits can be calculated as =5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the first digit as either 2,4,6,8 ( 0 would make it a 3 digit number)
The first digit can be 2,4,6,8
=4×5×5×5=500
Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8
=5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the third digit as either 0,2,4,6,8
Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8
=5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the fourth digit as either 0,2,4,6,8
=5×5×5×5=625
Add them together
625+500+625+625+625=3000
Answer:
3000
Step-by-step explanation:
4*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5 = 3000
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if
m∠A = α, m∠B = β
Answer: ∠ABD = [tex]\bold{\frac{1}{2}}[/tex]∠C
Step-by-step explanation:
[tex]\angle A + \angle B + \angle C = 180^o\\\\\dfrac{1}{2}\angle A+\dfrac{1}{2}\angle B+\angle D=180^o\\\\\\\text{Solve the system by multiplying the second equation by -2}\\\angle A + \angle B + \angle C = 180^o\\\underline{-\angle A - \angle B - 2\angle D = -180^o}\\.\qquad \qquad \quad \angle C-2\angle D=0\\.\qquad \qquad \qquad \qquad \angle C=2\angle D\\.\qquad \qquad \qquad \quad \dfrac{1}{2}\angle C=\quad \angle D\\[/tex]
Which of the following is the equation of a line perpendicular to the line y =
- 10x + 1. passing through the point (5.7)?
Answer:
y - 7 = (1/10)(x - 5)
Step-by-step explanation:
Next time please share the possible answers. Thank you.
Any line perpendicular to y = -10x + 1 has the slope +1/10, which is the negative reciprocal of -10.
Using the point-slope formula, we get:
y - 7 = (1/10)(x - 5)
Bonnie volunteers to bring bags of candy to her child's class for the Halloween party this year. She buys one bag of candy A
containing 120 pieces of candy, one bag of candy B containing 440 pieces of candy, and one bag of candy C containing
520 pieces of candy. She needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make so
that each one has the same number and variety of candy? How many of each type of candy will be in each bag?
Answer: Bonnie can make 40 treat bags. Each treat bag has three pieces of Candy A, 11 pieces of Candy B, and 13 pieces of Candy C.
Step-by-step explanation:
Since there's no number of student's in her child's class, I did this:
I found the common factors of 120, 440, and 520. And found out that the GCF (greatest common factor) is 40.
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
440: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
520: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
After finding out that the GCF is 40, I took the numbers 120, 440, and 520, and divided them by 40.
120 divided by 40 = 3
440 divided by 40 = 11
520 divided by 40 = 13
Therefore Bonnie can make 40 treats bags with no candy pieces left behind.
Based on slope, how do you know when two lines are perpendicular? A. The slope of one line must be equal to reciprocal of the other for the two to be perpendicular. B. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular. C. If the slopes of the 2 lines are equal, then they are perpendicular. D. The slope of one line must be the negative of the other slope for the two to be perpendicular.
Answer:
B
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means they have opposite signs (negative) and their numerators and denominators are switched ( reciprocal).
For example, these slopes are perpendicular:
3/2 and -2/3
(3/2--negate--> -3/2---> reciprocal--> -2/3)
Therefore, the answer is B. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular.
60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys chose fishing. The remaining boys did not complete the survey. Which expression gives the percent of survey participants who chose fishing?
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]\frac{29}{47} * 100[/tex]
▹ Step-by-Step Explanation
29 + 18 = 47 → 29/47
Total boys → 100
29/47 * 100
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
The answer is gonna be 29/47 * 100
will mark brainliest 16 − 3k + 4k − 14 =
Answer:
k + 2
Step-by-step explanation:
16 - 3k + 4k - 14
Add -3k and 4k
16 + k - 14
Subtract 16 - 14
k + 2
Hope this helps :)
Answer:
k = -2
Step-by-step explanation:
I'm assuming you are trying to find the value of k. First, let's add the like terms together, because everything is on one side. -3k+4k is equal to k. Now 16 and 14. 16-14 is equal to 2. But, they are all on one side. Suppose we keep k on the left. We have to move two to the other side, and it turns into negative 2. Therefore, k is equal to -2.
Hope this helps!
xx gloriouspurpose xx
Help me please it’s important
Answer:
B: 5 + 4x < 24
Step-by-step explanation:
Answer:
The answer is B) 4x+5 < 24
If similar cubes have a length ratio of 3:2, what is the volume ratio? PLEASE EXPLAIN a) 9 : 4 b) 9 : 6 c) 27 : 8 d) 3 : 2
Answer: c) 27:8
Step-by-step explanation:
As volume of cube is side^3
volume of cube with side 2a is 8.a^3
volume of cube with side 3a is 27.a^3
ration of volumes is 27:8
The function C(x)=8x+560 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $16?
Answer:
70
Step-by-step explanation:
Sammy incorrectly solves the equation 1 /3(x+9)=8. Her work is shown below. a. Which step shows an error based on the equation only from the previous step? Select all that apply. A Step 1: 1/3x + 9 = 8 B Step 2: 1/3x = 8 + 9 C Step 3: 1/3x = 17 D Step 4: x = 17 / 3 E Step 5: x = 5 2/3
Answer:
15
Step-by-step explanation:
Answer:
First step is incorrect
Step-by-step explanation:
Just from the very first step Sammy got an incorrect distributive property performed. The factor 1/3 should multiply both terms of the binomial in parenthesis: "x", and also "9", rendering 1/3 x + 3
What is the equation of the line that passes through (5, -2) and (-3, 4)? 3 x + 4 y - 7 = 0 3 x - 4 y - 7 = 0 -3 x + 4 y - 7 = 0
Answer:
3x+4y-7=0
Step-by-step explanation:
I've plotted both the points down and I've put the equation "3x+4y-7=0" and it went through both points. I've provided proof here.
2 Points
What are the zeros of f(x) = x2 - 8x+16?
A. x=-4 and x = 4
B. x= -2 and x = 8
C. X= 4 only
D. x= -4 only
Answer:
C
x²-8x+16
=(x-4)²
(x-4)²=0
x-4=0
x=4
What is the slope of a line that is parallel to the line represented by the equation y=7/6x+4
Rewrite without parentheses. (3y^5z^4-7y^3)(-5yz^6) simplify your answer as much as possible.
Answer:
-15y^6z^{10}+35y^4z^6
Step-by-step explanation:
used an equation calculator
Click on the following figure to show the reflection about m. A, B, C, D? 1st pic A, 2nd pic B, and so on
Answer:
c
Step-by-step explanation:
the third picture shows symmetry and equality
Answer:
It's the third picture.
Step-by-step explanation:
This shows the reflection in m.