~combination
[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]
[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]
[tex] \large \sf = \frac{362880}{720.6} [/tex]
[tex] \large \sf = \frac{362880}{4320} [/tex]
[tex] \large \sf = \boxed{84}\: ✓[/tex]
~ nice to help you ^^
(X-3)(X-12)
Expand and simplify
Answer:
x^2-15x+36
Step-by-step explanation:
x(x-12)-3(x-12)
x^2-12x-3x+36
x^2-15x+36
Answer: X^2 -15x + 36
Step-by-step explanation:
(X-3) (x-12)
Multiply each term in the first bracket by each term in the second bracket
X^2 -12x -3x + 36
Collect like terms
X^2 -15x + 36
please help me!!!! trying to catch up over break :P
Answer:
Fast Freddy can go 15 miles per hour which is 4 minutes per mile
Speedy Sam can go 7.5 miles per hour which is 8 minutes per mile
Fast Freddy ran faster because he went 15 mph which is double the speed of Speedy Sam.
Step-by-step explanation:
Speedy Sam: So, we can find how fast per mile, by multiplying 4 by 2 because, it takes 4 minutes to go 1/2 of a mile, so double it to make a full mile. So the rate is 8 minutes per mile for Speedy Sam. If you wanted to calculate miles per hour, it would be 7.5 miles per hour because, you would simply take 60 minutes, an hour, and divide it by 8 minutes per mile, to get 7.5 miles per hour.
Fast Freddy: We can right away notice that after one mile, it hits 4 minutes. Making the rate 4 minutes per mile. To find the miles per hour, we would do, 60 minutes divided by 4 minutes per mile to get 15. Meaning fast freddy goes 15 miles per hour
Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm
Answer:
936 cm²
Step-by-step explanation:
The surface area is the sum of all the faces.
The base is a rectangle with
area = 24 × 7 = 168 cm²
The back is a rectangle with
area = 18 × 7 = 126 cm²
The sloping face is a rectangle with
area = 30 × 7 = 210 cm²
The 2 triangular faces are congruent with
area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then
area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²
Then
surface area = 168 + 126 + 210 + 432 = 936 cm²
sales tax is 7% what is the amount of sales tax you would pay this bill
% means per 100
so when figuring out percents it's good to use 100
so
on $100 7% would mean $7
on $50 7% would mean $3.5
in $200 7% would mean $14
15
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
–3p +1/8 = -1/4
p=
Reset
Next
Answer:
[tex]p=\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]-3p+\frac{1}{8}=-\frac{1}{4}[/tex]
Subtract [tex]\frac{1}{8}[/tex] from both sides:
[tex]-3p=-\frac{1}{4}-\frac{1}{8}[/tex]
Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{2}[/tex] and simplify:
[tex]-3p=-\frac{3}{8}[/tex]
Divide both sides by -3:
[tex]p=\frac{3}{24}[/tex]
Simplify:
[tex]p=\frac{1}{8}[/tex]
What is an equation of the line with the slope -3 and a y intercept of 5? 1. Y=-3(x+5) 2. Y-5=-3x 3.-3x+y=5 4. Y=5x-3
Answer: Option 2
Step-by-step explanation: the slope is -3 so option 4 is wrong. Y intercept is 5 so the equation is y=-3x+5. Move the 5 to the left side and you get y-5=-3x which is option 2.
of a line in point slope form
m = (Y2 - Y1)/(X2 - X1)
m = (-2 - 1)/(4 - 7)
m = -3/-3
m = 1
Which equations are equivalent?
1. 2(6x+15-5x)+4=40
2. 40=2(15-x)+4
3. 12x+30-10x+4+40
A- 1 & 2
B- 2 & 3
C- 1 & 3
D- None of the equations are equivalent
Answer:
B
Step-by-step explanation:
If you had -$10 last week and -$8 this week, how do those two numbers compare? Explain what the inequality means in relation to the positions of these numbers on the number line. For which week did you have the greater debt?
PLEASE HELP!!
I NEED FOR DBA !!
WILL GIVE BRAINLIEST AND RATING
AND WRONG ANSWERS OR LINKS WILL BE REPORTED
We compare the two numbers by finding their difference. If we subtract -8 from -10, we get 2, because 10-8 = 2. We put this positive result next to the negative number on the number line above it (-10) to see how it compares to -8.
The greater debt is represented by the smaller number on the number line, so if you had -$2 last week and -$8 this week, you are in a better position financially.
Answer:
Tje answe kdn 8
Step-by-step explanation:
Roy bought cupcakes for his sister's birthday party. 4 out of the 10 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Diane has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12. Green grapes cost $3/lb and red grapes cost $2/lb.
Answer:
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Step-by-step explanation:
12 ≥ 3x + 2y
Money available ≥ cost of green grapes + cost of red grapes
To turn this into slope-intercept form,
12 ≥ 3x + 2y
2y ≥ -3x + 12
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Graphed - see attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!! i will give brainliest.
Answer:
y = 6; x = 12
Step-by-step explanation:
If the triangles are congruent , then their sides are corresponding.
AB ≅DE DE≅ AC
7 = 2y - 5 3x - 13 = 11 + x
7 + 5 = 2y 3x - x -13 = 11
12 = 2y 2x - 13 = 11
6 = y 2x = 11 + 13
2x = 24
x = 12
AB=DE
[tex]\\ \sf\longmapsto 2y-5=7[/tex]
[tex]\\ \sf\longmapsto 2y=12[/tex]
[tex]\\ \sf\longmapsto y=6[/tex]
DF=AC.[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]
[tex]\\ \sf\longmapsto 2x=24[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
AC=DF=23Diagram attached
Please answer this question. No links :)
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex]
Initially, as X increases, Y stays constant.
Then, between x = 3 and x = 5, the graph rises by 4 and runs by 2, or rises by 2 and runs by 1, so the slope is 2.
Between x = 5 and x = 9, the graph "rises" by -1 and runs by 1, so the slope is -1.
The greatest value of y is 4 at x = 5. (5, 4)
Answer:
Initially, as x increases, y remains constant.
Afterward, the slope of the graph of the function is equal to 2 for all x between x = 3 and x = 5.
The slope of the graph is equal to -1 between x = 5 and x = 9.
The greatest value of y = 4, and it occurs when x = 5.
Step-by-step explanation:
Slope = [tex]\frac{rise}{run}[/tex]
The rise is how much it increases by y (up or down), and the run is how much it increases by x (right or left).
From 3-5 the slope = [tex]\frac{4}{2}[/tex] = 2 → it goes up 2 units for every one unit right.
From 5-9 the slope = [tex]\frac{-4}{4}[/tex] = -1 → it goes down (-) 1 unit for every one unit right.
Kim is getting balloons for her uncle's birthday party. She wants each balloon string to be 12 feet long. At the party store, string is sold by the yard. If Kim wants to get 74 balloons, how many yards of string will she need? 1 foot = 1/3 yard
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Answer:
Step-by-step explanation:
These two angles are interior and on the same side of the transversal. Therefore they are supplementary.
6x + x + 5 = 180
7x + 5 = 180 Subtract 5 from both sides
7x = 180 - 5
7x = 175 Divide by 7
x = 175/7
x = 25
x + 5 = 25 + 5 = 30
6x = 6*25 = 150
what is 3 x 7 = x 3 ?
Answer:
7
Step-by-step explanation:
21=3x
x=7
Answer:
x = 7
Step-by-step explanation:
3 x 7 = x 3
21 = 3x
x = 21/3 = 7
If f (x) = -2x^2 + 3 then f (-3) =
1. -15
2. 21
3. 39
4. -18
Answer:
-15
Step-by-step explanation:
put f(-3)=-2*(-3)^2+3
topanga is a college student who does photography and videography to earn money. she spent $300 on her camera to start up her buisness on campus. table below shows the money she earned (f(x)). She will earn money by the hour. Will give branliest for answer, if you want
Answer:
400!
Step-by-step explanation:
It costs $11 for 15 granola bars.
What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?
Answer:
0.73
Step-by-step explanation:
pls help will mark as brainlist
Step-by-step explanation:
total angle= 360°.
sides = 360/36 = 10 (decagon).
total angle= 360°
sides = 360/120 = 3(triangle).
hope this helps you to.
Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply. The prediction is reasonable. The prediction is an interpolation. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted. A prediction cannot be made for a man who is 80 inches tall. A man who is 80 inches tall will likely wear a size 12. 5 shoe.
Answer:
A and C
Step-by-step explanation:
A. The prediction is reasonable.
C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.
__________________________________________________________
Based on the average height-to-shoe size ratio, it is rational to predict that a man who is 80 inches tall would wear a size 16 shoe, even without there being a scatterplot for a height of 80 inches.
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x.
Answer:
x= 5
Step-by-step explanation:
am isosceles triangle has 2 sides equal i.e the legs.
You are buying carpet to cover a room that measures 38 ft by 40 ft. The carpet
cost $18 per square yard. How much will the carpet cost?
Answer:
27360
Step-by-step explanation:
38x40=1520
1520*18=27360
when identifying the rate lf change using a graph check ___ over __
Answer: rise over run
======================================================
Explanation:
The rate of change is the same as slope. Slope is often defined as the ratio of rise over run.
In other words, slope = rise/run.
For instance, a slope of 2/3 means we go up 2 and to the right 3 units.
Another example: slope = -1/5 means we go down 1 and to the right 5.
The term "rise" indicates a change in y. The run is the change in x. If the rise is positive, then you go up. Negative rise values mean that you go down. The run always moves to the right.
NEED ANSWER ASAP!
Write an equation, in the form y = mx + b, that shows the linear relationship between the x and y values in the table.
Table: Below
Answer:
y = -5 + 2
Step-by-step explanation:
We can use change in y over change in x to find slope:
[tex]\frac{y2-y1}{x2-x1} =\frac{-8--3}{2-1} =\frac{-8+3}{1} =-5[/tex]
So, our slope (aka m) is -5.
For our b, or the y-intercept, we will need to find what value y is when x is 0. To do this, we will plug in a point for what we have so far, and then solve for b
y = -5x + b
-8 = -5(2) + b
-8 = -10 + b
2 = b
And there is our equation,
y = -5 + 2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Need help with this ASAP I’ll mark brainliest
a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?
Answer:
Please I don't understand the question or maybe I'm too young for the question I'm so sorry
Help I need this quick!!
T(2) = 3(2)³ - 2(2)² - 6(2) - 5
T(2) = 3(8) - 2(4) - 12 - 5
T(2) = 24 - 8 - 17
T(2) = 16 - 17
T(2) = -1 (B.)
The sum of the base and the height of a triangle is 20 cm. Find the dimensions for which the area is a maximum.
Answer:
base = 10cm and height = 10cm
Step-by-step explanation:
base + height = 20
base = height = 20/2= 10cm
How do you write 7,700,000 in scientific notation?
Answer:
7.7 × [tex]10^{6}[/tex]
Step-by-step explanation:
Start off with finding the digits in this case it would be 7,700,000
Now insert a decimal so that it is a number under 10.
That would be 7.7
to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.
It would take 6 "jumps" to end up back to 7,700,000
Now that we have that information we can make the scientific notation
1) Take the number (7.7)
2) Multiply the number by 10 with the exponent of "jumps"
Thus,
7.7 × [tex]10^{6}[/tex]