Answer:
120 ways
Step-by-step explanation:
To solve this question, we would be using the law of combination.
In combination, we say that
nCr = n! / (n - r)! r!, where both r and n are integers.
Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have
10C3 = 10! / (10 - 3)! 3!
10C3 = 10! / 7! 3!
10C3 = 3628800 / 5040 * 6
10C3 = 3628800 / 30240
10C3 = 120
Therefore, the toppings can be arranged in 120 ways.
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Find the slope intercept equation of the line
Answer:
y=1/5x+0
Step-by-step explanation:
Someone please help and choose correct answer
Answer:
The equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]
Option A is correct.
Step-by-step explanation:
We need to write equation of line that passes through point (2,-1) and has a slope of -3
The equation is written in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We are given slope: m = -3
We need to find y-intercept (b)
Using the point (2,-1) and slope m=-3, we can find y-intercept
[tex]y=mx+b\\-1=-3(2)+b\\-1=-6+b\\b=-1+6\\b=5[/tex]
So, we get y-intercept b = 5
Now, the required equation having slope m =-3 and y-intercept b = 5 will be:
[tex]y=mx+b\\y=-3x+5[/tex]
So, the equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]
Option A is correct.
Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?
Answer:
372/12=31
31mpg
Step-by-step explanation:
I GIVEEEE BRAINLILST
Answer:
its a scale factor of 4
Step-by-step explanation:
Hypotheses are______.
hypothesis is a guess that you test run.
What is the solution to −6x−4≥−2(x−4) ?
x≤−3
x≥3
x≥2
x≤−1
Answer:
The correct answer is: Option 1: x≤-3
Step-by-step explanation:
Given inequality is:
[tex]-6x-4\geq -2(x-4)[/tex]
First of all, we will distribute -2 into the bracket
[tex]-6x-4\geq -2x+8[/tex]
Then we will add 4 on both sides
[tex]-6x-4+4\geq -2x+8+4\\-6x \geq -2x+12[/tex]
Adding 2x on both sides
[tex]-6x+2x\geq -2x+12+2x\\-4x\geq 12[/tex]
Dividing both sides by 4
[tex]\frac{-4x}{4} \geq \frac{12}{4}\\-x \geq 3[/tex]
As there should be only x on the left side of the inequality we will multiply the inequality with -1.
Multiplying the inequality with -1 reverses the sign of inequality
So,
[tex]x \leq -3[/tex]
Hence,
The correct answer is: Option 1: x≤-3
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
Answer:
0.850
Step-by-step explanation:
Given:
g(x) = 5 – 6x
Find:
g(5)
Harry makes fruit punch with 3 cups of cranberry juice, 2 cups of mandarin orange juice, and 3 cups of watermelon juice. Approximately what percentage of the punch is cranberry juice?
Answer:
37.5%
Step-by-step explanation:
What percentage of the shape is purple?
Write your answer using a percent sign (%).
First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.
3/20
Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.
3/20 = 0.15 x 100 = 15%
can someone explain because im confused
Answer:
I'm pretty sure it is yes
Step-by-step explanation:
7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.
Round 8,723 to the nearest thousand
Answer:
9,000
Step-by-step explanation:
What percentage of the shape is green?
Write your answer using a percent sign (%).
(ASAP)
Answer:
52% of the shape is green
Step-by-step explanation:
13 out of 25 blocks are shaded green = 13/25
13/25 = 52%
if im a bot, then, what are you?-
Drag and drop the words below to correctly complete the statement of the SAS Similarity Theorem.
how do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??
Answer:
[tex]y = -2[/tex]
Step-by-step explanation:
Given
Horizontal Line
[tex](x_1,y_1) = (4,-2)[/tex]
Required
Determine the equation
The equation is calculated using:
[tex]y - y_1 =m(x-x_1)[/tex]
Where
[tex]m = slope[/tex]
Because the line is a horizontal line, then:
[tex]m = 0[/tex]
Substitute 0 for m and values for x1 and y1 in [tex]y - y_1 =m(x-x_1)[/tex]
[tex]y - (-2) = 0(x -4)[/tex]
[tex]y +2 = 0(x -4)[/tex]
[tex]y +2 = 0[/tex]
Subtract 2 from both sides
[tex]y +2-2 = 0-2[/tex]
[tex]y = -2[/tex]
Hence, the equation is: [tex]y = -2[/tex]
What do you do to convert 0.02083 to 75 mph?
Answer: 120.7008 Kilometers per Hour
I GIVEEE BRAINLILSTTT
Answer:
edfsefesfwefwefwf
Step-by-step explanation:
fwefewfweefwefwefwefewfwefwefwefwef
what is the graph in slope intercept form
Answer: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.
Step-by-step explanation:
Answer:
Slope intercept form is y=mx+b which is m is slope and b is the y-intercept.
Step-by-step explanation:
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2
A company that makes hair care products have 6000 people China Chef poop of the 6000 people 48 had a mild allergic reaction..what is the percent of the people that had an allergic reaction
Answer:
5952
Step-by-step explanation:
6000
Consider the inequality x + 7 < 9. Select all the true statements.
Answer:
Step-by-step explanation:
here you go mate
step 1
x + 7 < 9 equation
step 2
x + 7 < 9 subtract -7
x+7(-7)<9(-7)
answer
x<2
Let T: P2 → P3 be the transformation that maps a polynomial p(t) into the polynomial (t-2)p(t).
a. Find the image of p(t) = 2-t + t^2
b. Show that T is a linear transformation.
c. Find the matrix for T relative to the bases (1, t,t^2) and (1,t,t^2,t^3).
(a) Applying T to p(t) = 2 - t + t ² gives
T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³
(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,
T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )
Let
p(t) = α₀ + α₁ t + α₂ t ²
q(t) = β₀ + β₁ t + β₂ t ²
Compute the images of p and q :
T ( p(t) ) = (t - 2) (α₀ + α₁ t + α₂ t ²)
… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³
Similarly,
T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³
Then
a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³)
… = c₀ + c₁ t + c₂ t ² + c₃ t ³
where
c₀ = -2 (a α₀ + b β₀)
c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)
c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)
c₃ = a α₂ + b β₂
Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.
(c) Find the image of each vector in the basis for P₂ :
T (1) = (t - 2) × 1 = t - 2
T (t ) = (t - 2) t = t ² - 2t
T (t ²) = (t - 2) t ² = t ³ - 2t ²
Then
[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]
Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11(4-1)
Step-by-step explanation:
11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms
44/11=4
11/11=4
Therefore the answer is 11(4-1)
PLEASE HELP ME ANSWER THIS I WILL GIVE FREE THANKS
Answer:
C: Two solutions
Step-by-step explanation:
If you try to solve the problame you can find to solution's
Hope this Help's
Answer:
lol too bad laurenercsp6fpli
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line in the graph?
Answer:
The slope of the required line is 1
Step-by-step explanation:
The Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The graph shows a line whose slope can be calculated by selecting two points it goes through. Let's pick points (0,0) and (2,-2). Thus the slope is:
[tex]\displaystyle m=\frac{-2-0}{2-0}=-1[/tex]
The slope (m') of a line that is perpendicular to the line in the graph can be found by using the equation:
m*m'=-1
Solving for m':
[tex]m'=-\frac{1}{m}=-\frac{1}{-1}=1[/tex]
Thus the slope of the required line is 1
Please help, I have no clue how to answer this.
Answer:
74-2c
Step-by-step explanation:
you know that craig's age is c. You multiply c by two, which is twice craig's age. Then you subtract that from c.
(10 points, Giving brainliest to correct answer) Need in a couple hours
Congruence
Answer:
SSA (or AS*)
Step-by-step explanation:
SSA cannot booe used
just remember that
Can someone plz help with this, this is one question, the choices for the first option are; coin, quartered spinner, number cube, or two coins. The choices for the second option are; 5, 4, 20, or 3. And the choices for the last option are; 1/5, 3/16, 3/256, or 1/256, plz help!!!
Answer:
Number cube, 5, and 3/16
Which of the binomials below is a factor of this trinomial?
x² + 5x-36
Answer:
A. x + 9
Step-by-step explanation:
x² + 5x - 36 = (x + 9) (x - 4)