Answer:
Slope is 1/5
y intercept is (0,0)
A committee must be formed with 2 teachers and 4 students. If there are 9 teachers
to choose from, and 9 students, how many different ways could the committee be
made?
The total number of different committees that can be made is:
C = 4,536
In how many different ways could the committee be made?If we have a set of N elements, the total number of different subsets of K elements that can be made out of these N is:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
So, the 2 teachers (out of 9) can be selected in:
[tex]C(9, 2) = \frac{9!}{7!*2!} = \frac{9*8}{2} = 36[/tex]
36 different ways.
The 4 students (out of 9) can be selected in:
[tex]C(9, 4) = \frac{9!}{5!*4!} = \frac{9*8*7*6}{4*3*2} = 126[/tex]
126 different ways.
The committee is formed by these two groups, so the total number of different committees that can be made is:
C = 36*126 = 4,536
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PLSS HELP ME WITH THIS !! 20 POINTSS
Answer:
Choice A.
Step-by-step explanation:
y = 10/5 x
becAUSE 10/5 = 2
Answer:
A
Step-by-step explanation:
the equation of proportionality is
y = kx ← k is the constant of proportionality
A
y = [tex]\frac{10}{5}[/tex] x = 2x ← with k = 2
B
y = [tex]\frac{2}{2}[/tex] x = 1x ← with k = 1
C
y = [tex]\frac{2}{4}[/tex] x = [tex]\frac{1}{2}[/tex] x ← with k = [tex]\frac{1}{2}[/tex]
D
y = [tex]\frac{22}{2}[/tex] x = 11x ← with k = 11
evaluate 1/4c + 3d when c = 6 and d = 7
please don't just give me the answer, explainnn because i don't know how to do this
Answer:
22 1/2
Step-by-step explanation:
1/4×6=1 1/2
3×7=21
21+1 1/2=22 1/2
Answer as a decimal = 22.5
Answer as a fraction = 45/2
===========================================================
Explanation:
Replace c with 6, and replace d with 7.
Then use the order of operations (PEMDAS) to simplify until you get a single number.
[tex]\frac{1}{4}c + 3d\\\\\frac{1}{4}(6) + 3(7)\\\\\frac{6}{4} + 21\\\\1.5 + 21\\\\22.5\\\\[/tex]
If you want to convert this to an improper fraction, then,
[tex]22.5 = 22 + 0.5\\\\22.5 = 22 + \frac{1}{2}\\\\22.5 = 22*\frac{2}{2} + \frac{1}{2}\\\\22.5 = \frac{44}{2} + \frac{1}{2}\\\\22.5 = \frac{44+1}{2}\\\\22.5 = \frac{45}{2}\\\\[/tex]
Each of these labelled bags contains two apples.
One bag contains two green apples, another two red apples and the third one green and one red apple.
All three bags are mislabelled. You may look at only one apple from any one of the bags.
Which bag should you select from to be sure you can determine the content of all three bags?
Step-by-step explanation:
I just answered this.
the key is that ALL current labels are wrong. not "could be wrong", but "definitely wrong".
you need to pick an apple from the originally "red/green" labeled bag.
since that label is wrong, it must be one of the pure color bags.
so, that bag gets the label for the color that we picked.
now we look at the other 2 bags. they are both wrongly labeled, but there are only 2 options : the second color (which we did not use to label the first bag) and "red/green".
the bag with the color label we just assigned to our first bag must therefore get the second color label (if it were "red/green", it would mean that the third bag was actually correctly labeled, which was not the case), and the bag currently with the second color label is the actual "red/green" bag.
what is :
2 tons + 10 pounds
And
4 tons + 10 pounds
and then explain it properly
2 tons + 10 pounds = 4,010 pounds
4 tons + 10 pounds = 8,010 pounds
Step-by-step explanation:
2,000 POUNDS EQUALS 1 TON.
a.) 2 tons = 2,000 X 2 = 4,000 pounds
4,000 pounds + 10 pounds = 4,010 pounds
2 tons + 10 pounds = 4,010 pounds
b.) 4 tons = 2,000 X 4 = 8,000 pounds
8,000 pounds + 10 pounds = 8,010 pounds
4 tons + 10 pounds = 8,010
Question 1(Multiple Choice Worth 4 points)
(13.07 MC)
Madge leaves her home at 8:05 to go to school. The drive takes one third hour each way. If she is at school for 7 hours, what time does she arrive home?
3:45
3:25
3:15
3:05
Answer:
takes 40minutes from home to school and to home so the total time is 7:45 hrs,, arrive home at 3:45
I'm sorry if you can't see the questions fully. But I answered the first and last one.
The sides of a triangle measure 12 inches, 17 inches, and 24 inches. What is the area of the triangle? Round to the nearest tenth.
The area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
The sides of a triangle measure 12 inches, 17 inches, and 24 inches.
From the formula:
[tex]\rm Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]\rm s = \dfrac{a+b+c}{2}[/tex]
a = 12, b = 17, c = 24 inches
[tex]\rm s = \dfrac{12+17+24}{2} = 26.5[/tex]
Plug all the values in the formula we get:
Area = 95.529 ≈ 95.53 square inches
Thus, the area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
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Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3. Which represents the number of antique flower vases Christine can buy?
Answer:
a ≤ 20
Step-by-step explanation:
a = number of lower vases, in $
3a = cost of a flower vases, in $
10 + 3a = = cost of $10 worth of flowers plus a vases
10 + 3a ≤ 70 says that the cost of Christine's flowers and vases purchase
must be less than, or at most equal to $70.
Subtracting 10 rom both sides of the inequalour
gives us an equivalent inequality
3a ≤ 70 - 10 <---> 3a ≤ 60
Multiplying (or dividing) both sides by a positive number
gives us an equivalent inequality, so
a ≤ 60/3 <---> a ≤ 20
If the volume of a cone is 10 m^3 what is its height if the area of the base is 10 m^2?
Answer:
3 m
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} b h \quad\textsf{(where b is the area of the circular base and h is the height)}[/tex]
Given:
volume = 10 m³Area of base = 10 m²[tex]\implies \sf 10=\dfrac{1}{3} \cdot 10 \cdot h[/tex]
[tex]\implies \sf 10=\dfrac{10}{3}h[/tex]
[tex]\implies \sf 30=10h[/tex]
[tex]\implies \sf h=\dfrac{30}{10}=3[/tex]
Answer:
height: 3 meter
Explanation:
[tex]\sf volume : \frac{1}{3} \ x \ base \ area \ x \ height[/tex]
Here given:
base area: 10 m²height: hvolume: 10 m³Solve:
[tex]\longrightarrow \sf 10 = \frac{1}{3} \ x \ 10 \ x \ h[/tex]
[tex]\longrightarrow \sf 10 = \frac{10}{3} \ x \ h[/tex]
[tex]\longrightarrow \sf \frac{10 \ x \ 3}{10} = h[/tex]
[tex]\longrightarrow \sf 3 = h[/tex]
Describe the symmetry if these functions
Answer:
see the attachment.
i hope this can help you!
Please solve with explanation (high points)
The measure of the length GF is 4.2 units and IH is 2.27 units. Then the measure of angle ∠ACB will be 24.35°.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle ΔABC and triangle ΔGFC are similar triangles. Then we have
GF / BA = CF / BC
GF / 5.62 = 8.88 / 12.42
GF = 4.018
GF ≅ 4.02
The triangle ΔABC and triangle ΔIHC are similar triangles. Then we have
IH / BA = HC / BC
IH / 5.62 = 5.02 / 12.42
IH = 2.271
IH ≅ 2.27
Then the angle ∠ACB will be
∠ACB = tan⁻¹ (5.62 / 12.42)
∠ACB = tan⁻¹ 0.452
∠ACB = 24.35°
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pls answer quickly, thanks !!
Answer:
14762 ft³
Step-by-step explanation:
Volume of top prism
V = 61 x 8 x (19 - 3)V = 488 x 16V = 7808 ft³Volume of bottom prism
V = 61 x 38 x 3V = 183 x 38V = 6954 ft³Total volume = Volume (top) + Volume (bottom)
7808 + 695414762 ft³Each has a radius of 5 in and a height of 12 in. How much more water can the cylinder hold than the cone? (Use л=3.14)
The cylinder holds 3 times more water than the cone
volume of the cylinder is (pi) (r^2) (height), volume of the cone is (1/3)(pi)(r^2)(height)
Cone is 1/3 of cylinder volume so cylinder holds 3 times the amount
Cylinder holds 942 cu units, cone holds 314,
Answer cylinder holds 628 cu units more than cone
cyl= 3.14 x 5^2 x 12=942
Cone= 1/3 x 3.14 x 5^2 x 12 = 314
Help me on this!! Asap!!
Answer:
D. Fundamental Principle of CountingD. 32B. 12 waysD. 24B. 18Step-by-step explanation:
Q1
The Fundamental Principle of Counting states that we can find the total number of ways that two or more separate tasks can happen by multiplying the number of ways each task can happen separately.Q2
No. of ways = 2⁵ = 32Q3
No. of ways = 4 x 3 = 12 waysQ4
⁴P₃ = 4! / 1! = 4 x 3 x 2 = 24Q5
No. of ways = 2 x 3 x 3 = 18dentify the 17th term in the arithmetic sequence.
a1 = 11, d = −2
PLEASE HELP!!!!! IMA DESPRATE
The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21
How to determine the 17th term?The given parameters are:
First term, a = 11Common difference, d = -2The nth term of an arithmetic progression is:
Tn = a + (n - 1)d
So, we have:
T17 = a + 16d
Substitute the given values
T17 = 11 - 16 * 2
Evaluate
T17 = -21
Hence, the 17th term in the arithmetic sequence is -21
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Let A = {1, 2, 3} and R be the following relation on A;
R = {(1, 1), (1, 2), (1, 3), (3, 1), (2, 3)}
Answer:
The relation is reflexive as
(1,1),(2,2),(3,3)∈R
(2,1)∈R will not imply (1,2)∈R,
hence R is not symmetric
(2,1),(1,3)∈R doesn't imply (2,3)∈R, hence R is not transitive
Step-by-step explanation:
hope this helps if not let me know have a blessed day
PLEASE HELP!!!!!!!!
Note: please add the answer next to the number its from so I can know which question was answered
the box and wiskers plot represent the number of minutes spent by users on two different social media groups which THREE statments are correct when comparing the plots
The true correct statements about the box-and-whiskers plot are:
Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25 What is the Spread and Median of a Data?In a box-and-whiskers plot, the interquartile range (IQR) is a measure of the spread of the data which shows the variability of the data.
Median of a data is the value at the point where the vertical line divides the rectangular box.
Median for Group A is between: 45 and 50
Median time for Group B is: 40.
Therefore, the three statements are:
Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25Learn more bout spread of a data on a box plot on:
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When the temperature in London is 5 degrees celsius, the temperature in New York is - 7 degrees C. If the temperature in London falls by 6 degrees, what is the new lower temperature.
Answer:
the temperature in London would be -1 degrees as 5-6=-1
what is172892 divided by 6
Answer:
28815.3333333
Step-by-step explanation:
Check the picture of the necessary information
Need asap!!!!!!!!!!!
Answer:
50 J
Step-by-step explanation:
According to energy conservative law energy can not be destroyed. So as the potential energy has been decreased to 50 J, the decreased amount has become kinetic energy.
100 - 50 = 50
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2
The linear inequality is represented by the graph will be, y > 3x + 2. Option B is correct.
What is linear inequality?Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.
The line is passes through the following points;
(x₁,y₁) to (x₂,y₂)
(-3,-7) to (0,2)
The equation is found as;
[tex]\rm y-y_1 = \frac{y_2-y_1}{x_2-x_1 } (x-x_1)\\\\\ \rm y-(-7) = \frac{(2-(-7))}{(0-(-3))} (x-(-3))\\\\ y+7 =\frac{9}{3} (x+3)\\\\ y+7 = 3x+9 \\\\ y=3x+2[/tex]
The graph because the shading is above the line and does not include the line.
The linear inequality is represented by the graph will be, y > 3x + 2
Hence, option B is correct.
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A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square
Answer:
1/2 × 6 × 6
Step-by-step explanation:
the triangle takes up half of the square
the area of a square = side length²
side length = 6
so area of square = 6² = 6 × 6
because the triangle takes up half of the square
the area of the shaded triangle would = 1/2 × 6 × 6
Which statement best describes the function shown in the graph?
A. The function is positive when x > 1.
B. The function is positive for all values in the domain.
C. The function is positive when x > 0.
D. The function is positive when x > -5.
Answer:
B
Step-by-step explanation:
since domain should be in positive i thinks this should be answer B
Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of PQ. P(1,4), Q(3,-2)
Answer:
a) 6.3; b) (2;1).
Step-by-step explanation:
[tex]a) \ |PQ|=\sqrt{(X_P-X_Q)^2+(Y_P-Y_Q)^2}=\sqrt{4+36}=\sqrt{40} =6.3;[/tex]
[tex]b) \ (\frac{X_P+X_Q}{2};\frac{Y_P+Y_Q}{2}); \ = > \ (2;1).[/tex]
Ms. Wall will roll a dice. What is
the probability that she will roll an even number?
Answer:
50%
Step-by-step explanation:
half of the numbers on dice are even
NEED HELP PLEASE!!!!!!
Answer:
i wish i knew im in the same situwantion
Step-by-step explanation:
What is the reference angle for 292°?
O A. 12°
O B. 22°
O C. 68°
O D. 78°
C. 68°
292° lies on 4th quadrant.
Reference angle:1st quadrant: angle
2nd quadrant: 180° - angle
3rd quadrant: angle - 180°
4th quadrant: 360° - angle
So, reference angle: 360° - 292° = 68°