Answer:
45 ways
Step-by-step explanation:
The number of ways the committee of 2 can be selected from a group of 10 may be found using the combination theory.
10 C 2
Recall that n C r = n!/(n-r)!r!
Hence
10 C 2 = 10!/(10 -2)!2!
= 10!/8!*2!
= 10 *9 *8!/8!* 2!
= 10 *9/2 * 1
= 90/2
= 45
Answer:
45
Step-by-step explanation:
got it right on test
is there an error in the work and is the answer extraneous? if so why?
Answer:
x = 4
Step-by-step explanation:
log₃[1 + log₃(2ˣ - 7)] = 1
log₃[1 + log₃(2ˣ - 7)] = log₃(3)
1 + log₃(2ˣ - 7) = 3
log₃(2ˣ - 7) = 2
log₃(2ˣ - 7) = log₃(3)²
2ˣ - 7 = 9
2ˣ = 9 + 7
2ˣ = 16
2ˣ = 2⁴
x = 4
By putting x = 4 in the original equation,
log₃[1 + log₃(2⁴ - 7)] = 1
log₃[1 + log₃(16 - 7)] = 1
log₃[1 + log₃(9)] = 1
log₃[1 + log₃(3)²] = 1
log₃[1 + 2] = 1
log₃[3] = 1
1 = 1
Therefore, x = 4 is not the extraneous solution and there is no error in your answer.
Write the rule to describe this transformation.
Need help please!
Answer:
Figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form image quadrilateral P"Q"R"S".
Step-by-step explanation:
From the graph attached,
Coordinates of point T' → (2, -2)
Coordinates of point T'' → (3, -3)
As it's clear form the picture, quadrilateral P'Q'R'S' has been dilated to form the image quadrilateral P"Q"R"S" by a scale factor = k
By the rule,
T'(x, y) → T"(kx, ky)
Therefore, T'(2, -2) → T"(2k, -2k)
T"(2k, -2k) → T"(3, -3)
By comparing x-coordinates,
2k = 3
k = [tex]\frac{3}{2}[/tex]
k = 1.5
Therefore, figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form quadrilateral P"Q"R"S".
Q5. The ratio of boys to girls in a group is 7:1. If there are 48 more boys
than girls, work out how many girls there are.
Answer:
There are 8 girls
Step-by-step explanation:
We see that right now there are 6 more boys than girls and if there were 2 girls there would be 14 boys meaning there would be 12 more boys than girls if you continue in this pattern you would get-
7:1= 6 more boys 35:5=30 more boys
14:2= 12 more boys 42:6= 36 more boys
21:3=18 more boys 49:7= 42 more boys
28:4= 24 more boys 56:8= 48 more
This shows us that if there are 8 girls in group there are 56 boys meaning there are 48 more boys than girls if the group had 8 girls
A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. If Jean were to double these dimensions, she believes she would only double the volume. Is she correct? Explain why or why not. Include a drawing in your explanation.
Answer:
Hence doubling the dimension gives a volume greater than doubling the original volume.
Step-by-step explanation:
Given The dimension :
Original dimension : 6 meters by 5 meters by 12 meters
Volume of original dimension :
6 * 5 * 12 = 360 m³
If dimension is doubled :
2 * 6 = 12
2 * 5 = 10
2 * 12 = 24
Volume = (12 * 10 * 24) = 2880 m³
2 * original volume = 2 * 360 = 720 m³
Hence doubling the dimension gives a volume greater than doubling the original volume.
will give brainliest if you help with this question.
Answer: (-5, 2). Please mark me brainliest
Step-by-step explanation: So we are finding the coordinates of point A first we have to mark the x-coordinate (-5) so we have to look at the horizontal line (x-coordinate) and the A is an -5 so the first part should be -5 next we have to do the vertical line (y-coordinate) and it is on the 2 so 2 so the answer is (-5,2).
GIVING BRAINLIEST PLEASE HELP!!!
Answer:
52° is correct answer of this question
hope it helps
thanks for free points
Step-by-step explanation:
option a.
38°+x=90°
x=90°-38°
x=52°
answer asap pllssssss
Answer:
m + 12 = 26
Step-by-step explanation:
I hope this helps a little.
Find the midpoint between -5 and 37
Answer:
16
Step-by-step explanation:
5+37= 42. 42 is the distance between the 2.
divide that by 2- 21
then, subtract 5 to get to the midpoint. 21-5= 16
Why is the numbers of ways of arranging the letters of CALL is less than the number of ways of arranging the letters of BARK? Explain your answer
Answer:
See Explanation
Step-by-step explanation:
Given
(1) CALL and (2) BARK
Required
Why is the number of arrangement of (1) less than (2)
The reason is that in (1), letter L occurred twice. When there is a repetition of letters, the number of ways of arrangement reduces
For (1)
There are 4 letters and L is repeated twice.
[tex]Arrangement = \frac{4!}{2!}[/tex]
[tex]Arrangement = \frac{24}{2}[/tex]
[tex]Arrangement = 12[/tex]
For (2)
There are 4 letters and no repetition
[tex]Arrangement = 4![/tex]
[tex]Arrangement = 24[/tex]
The reason why the number of ways of CALL is less than the number of ways of arranging the letters of BARK should be explained below.
Calculation of the number of ways:The reason should be that in (1), letter L occurred twice. At the time When there is a repetition of letters, the number of ways of arrangement decreases.
So here arrangement be like
When there is 4 letters and L is repeated twice.
=4!/2!
= 24/2
= 12
And,
When there is 4 letters and no repetition
= 4!
= 24
Learn more about ways here: https://brainly.com/question/24604425
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."
Answer:
4(2x - 3) is how I would write it algebraically.
Step-by-step explanation:
The number is x, as it is unknown. 2x means you multiply the unknown number by 2.
2x
Now, you subtract 3.
2x - 3
And then you multiply the result of that by 4, hence the parentheses.
4(2x - 3)
To solve, just distribute 4. 4*2x = 8x. 4*-3 = -12.
8x - 12
Answer:
8x-12
Step-by-step explanation:
(2x-3)* 4 = 8x-12
Charles Johnson deposited 4,400 in savings account earning 6 percent compound quarterly. if he makes no other deposits or withdrawals, how much will his money earn in 2 years?
Answer:
He will earn : 2112$Step-by-step explanation:
I hope that is useful for you :)
PLEASE PLEASE PLEASE FIND THE UNKNOWNS WILL GIVE BRAIN TYSM!!
Answer:
Sum of the opposite pair of a cyclic quadrilateral is 180°.
c= 180-102= 78°
c= 180-102= 78°d= 180-92= 88°
intercepted arc
=>2(102°)= 140+a°
a=64°
Simillarly
=> 2(d°)= a°+b°
b°= 112°
so ....
a=64°
a=64°b=112°
a=64°b=112°c=78°
a=64°b=112°c=78°d=88
hope it helps you ....
A Ferris wheel 72 feet in diameter makes one revolution every 122 sec. The center of the wheel is 50 feet above the ground. Let’s assume the passengers start the ride at time t = 0 seconds at the lowest point on the ride. Consider the periodic function that models the height of a passenger on the Ferris wheel over time
Answer:
122
Step-by-step explanation:
122x1
wait no....
answer: 72x122
yoooooo guys any chance anyone could help me with this??? :))
Answer: x is 4 y is 6 for the translation
Step-by-step explanation:
translation is up down left or right on the grid. left or right is x up or down is y.
Answer: x is 4 y is 6 for the translation
Step-by-step explanation:
translation is up down left or right on the grid. left or right is x up or down is y.
a girl 2.2m tall observes that the angle of elevation of the top of a building 16m away from her is 45° find the height of the building
Answer:
18.2 m = height of the building
Step-by-step explanation:
Let x = the distance from the top of the girl's head to the top of the building
tan 45 = x/16
x = 16 tan 45
x = 16 m
16 + 2.2 = 18.2 m = height of the building
Melanie invested $63,000 in an account paying an interest rate of 7 1/8% compounded
quarterly. Lillian invested $63,000 in an account paying an interest rate of 7 3/8%
compounded continuously. After 15 years, how much more money would Lillian have
in her account than Melanie, to the nearest dollar?
Answer: $8727- thsi should be the correct answer
Round off to the nearest hour 09:38
The given triangles are similar. Solve for x.
Maria bot a jacket that was on sale for 14.40 after a discount of 20%. What is the oringal price?
Answer:
17.28
Step-by-step explanation:
20%/ 14.40= 2.88
2.88+14.40=17.28
Answer:
$17.28
Step-by-step explanation:
14.40 x 20% (0.20) = 2.88
14.40 + 2.88 = 17.28
What is the volume of a cylinder, in cubic centimeters, with a height of 18 centimeters and a base diameter of 8 centimeters? Round to the nearest tenths place
Answer:
The formula for the volume of a cylinder = height x π x (diameter / 2)^2
volume = 18 x π x (8/2)^2
volume = 502.654825 cm^3
volume = 502.7 cm^3
Answer:
904.8
Step-by-step explanation:
delta math
Which equation represents a line with a slope of
6
and a y-intercept of -9?
11
А
6
y = -x + 9
11
В
6
y=---9
11x
9
y=-- +9
х
6
y = -x-9
11
The equation of the line that a slope of 6 and a y-intercept of -9 will be y = 6x - 9.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line that a slope of 6 and a y-intercept of -9 will be
The equation of the line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
Then we have
m = 6 and c = - 9
Then the equation of the line will be
y = 6x - 9
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
write an equation in slope-intercept for the line that has a slope of 1/2 and goes through the point (4, 7)
Answer:
y = 1/2x + 5
Step-by-step explanation:
The formula for an equation is y = mx + b
m is the slope. It is given
y = 1/2x + b
b is the y-intercept
In this case, we must substitute to find the y-intercept
We are given coordinate pair (4,7)
Plug our pair in and we get => 7 = 1/2(4) + b
=> 7 = 2 + b
easily, we find b = 5
We get our equation: y = 1/2x + 5
Cheers!
Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?
Answer:
C None of the above
Step-by-step explanation:
Here are the required options
Choose all answers that apply
A (5g+3h).8
B (5g+3h).6
C None of the above
Given the expression;
(5g+3h+4).2
Expand
(5g+3h+4).2
= 2(5g+3h+4)
= 2(5g) + 2(3h) + 2(4)
= 10g+6h+8
Checking option A;
(5g+3h).8
Expand
= 8(5g+3h)
= 8(5g) + 8(3h)
= 40g+24h
Checking option B:
(5g+3h).6
Expand
= 6(5g+3h)
Using the distributive law;
= 6(5g) + 6(3h)
= 30g+18h
Since none of the expressions for A and B is equivalent to 10g+6h+8, hence NONE of the options are correct
Answer:
C
Step-by-step explanation:
On khan
For this item, enter the answers in the spaces provided.
Consider the equation representing a customer purchasing 3 boxes of cereal
at $x each and 4 apples at $y each at a grocery store for a total of $12.
3x + 4y = 12
The equation when solved for y is y y=__x+__
Answer: I think 3-1x not 100% sure on that one though been a while since I've done this stuff
Step-by-step explanation:
Solve system of linear equations by graphing.
-2x - 5y = -10
3x + 6y= 18
Answer:
this is the answer bb
Step-by-step explanation:
Which table represents linear function?
Answer:
does not represent a linear function.
Step-by-step explanation:
For the function to be linear, the slope must be the same for every poknt along the function. If is not, then is not a linear function.
Let us now calculate the slope;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
We shall take the first two points
[tex]m = \frac{4 - 2}{2 - 1} \\ m = \frac{2}{1} \\ m = 2[/tex]
Next we shall take the 2nd and 3rd points
[tex]m = \frac{8 - 4}{3 - 2} \\ m = \frac{4}{1} \\ m = 4[/tex]
The slope is not the same for these two different point, hence this table does not represent a linear function.
Lilian uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Lilian a uses a total of 12 1/4 calories walking to the park.
Lilian a uses the equation, d (3/4 + 1) = 12 1/4 to represent the situation.
what does variable d represent in the equation?
Answer:
Variable d represents the time per minute Lilianna spends in the park.
Step-by-step explanation:
Answer:
Number of minutes Lilianna walked
Step-by-step explanation:
Hope this helps!
Find the length of the third side. If necessary, round to the nearest tenth. 5 7.
Answer:
mmmmmmmmm
Step-by-step explanation:
why everyone is asking about maths........
I am a ...........
which of these expressions will return the same value for PV
Answer:
C
Step-by-step explanation:
Pls help need answer fast! - will follow
what is the problem. Tell!!!!
