Answer:
210 combinations
Step-by-step explanation:
The total number of candidates given = n = 10
The number of candidates to be chosen = r = 4
As in this, the sequence of the chosen candidates doesn't matter, we can use Combination to find the solution.
C(n,r) = n! / (n-r)! (r)!
where n = 10 and r = 4
C(10,4) = 10! / (10-4)! (4)!
C(10,4) = 10! / 6! 4!
C(10,4) = (10·9·8·7·6·5·4·3·2·1) / (6·5·4·3·2·1)(4·3·2·1)
C(10,4) = (10·9·8·7) / ((4·3·2·1))
C(10,4) = 210 combinations
SOMEONE PLEASE HELP!!! in the graph below, find the coordinate of the image point. O is the origin and P is the point (4,3). Ry and Rx are reflections around the x- and y-axes. R p,90 o R o,-90 : (-1,-1)
•(-7,9)
•(-1,-1)
•(6,-2)
Answer:
C.) (6, -2)
Hope this help!
Answer:c(6,-2)vis your answer
Step-by-step explanation: The guy above me is right
Tim explained a function in words and Paul wrote an equation. Tim: The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Paul: y−1,400=56(x+26)
Whose function has the smaller y-intercept?
A. Tim’s with a y-intercept of $2,700
B. Paul’s with a y-intercept of $2,856
C. Paul’s with a y-intercept of $2,800
D. Tim’s with a y-intercept of $2,780
Answer:
D. Tim’s with a y-intercept of $2,780
Step-by-step explanation:
The function with the smaller y-intercept is Tim’s with a y-intercept of $2,780
The equation of Paul's savings is given as:
y-1400=56(x+26)
Set x to 0, to calculate the y-intercept
y-1400=56(0+26)
Evaluate the sum
y-1400=56(26)
Evaluate the product
y-1400=1456
Add 1400 to both sides
y = 2856
For Tim, we have the following equation
y = 225x + c
Where c represents the y-intercept
After eight months, the bank account has $4,580
So, we have:
4580 = 225*8 + c
Evaluate the product
4580 = 1800 + c
Subtract 1800 from both sides
c = 2780
2780 is less than 2856
Hence, the function with the smaller y-intercept is Tim’s with a y-intercept of $2,780
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If there are 7 frankfurters to the pound, how
many pounds of frankfurters are needed for a
picnic to supply 19 pupils with 2 frankfurters
each?
Answer:
6lbs
Step-by-step explanation:
Total # of Frankfurters needed.
[tex]19*2=38[/tex]
Divide the total needed by the amount in a lb, to find out how many lbs we need.
[tex]\frac{38}{7}=5.4[/tex]
Therefore, we need 6 full lbs in order to create at least 38 Frankfurters.
If we only have 5lbs, we can only create 35 Frankfurters.
5.4 pounds of frankfurters are needed for a picnic.
there are 7 frankfurters to the pound
let x pounds of frankfurters needed for a picnic. to supply 19 pupils with 2 frankfurters each.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
since there are 19 pupil and each of has 2 frankfurters.
total frankfurters = 19 x 2
= 38
required pound,
x =38/7
x = 5.4
Thus, 5.4 pounds of frankfurters are needed for a picnic to supply 19 pupils with 2 frankfurters each.
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PLLLLLLLLLLZZZZZZZZZ
Answer: 4m + 3
Step-by-step explanation:
4m references the 4 bags of marbles and the m marbles in each bag. + 3 references the extra 3 marbles.
Find the domain of the graphed function.
finding domain:
to find the domain, we are finding all of the x values.
example:
say we have the points: (2,5) (4,8) (1,7) (8,10) (13,2)
the domain would be a list of all of the x values of all of the coordinate points. therefore the domain would be:
domain:
{1,2,4,8,13}
conclusion:
since you have not attached the function or a graph, you will have to find the domain on your own (unless you attach one now). hope this helps!
I’ve done a I just need help with b and c
Answer:
A) x+y=10 & 2x+3y=24
B) x=6
C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)
Step-by-step explanation:
A) x+y=10
2x+3y=24
B) make x+y=10 into y=10-x
Substitute 10-x in for y into the 2nd equation.
2x+3(10-x)=24
2x+30-3x=24
-1x=24-30
-1x=-6
x=6
C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)
Classify the following triangle. Check all that apply.
450
11.3
-8
145
8
A. Obtuse
B. Right
O C. Isosceles
D. Acute
E. Scalene
O F. Equilateral
Answer:
B and C
Step-by-step explanation:
B. You can tell because of the right angle
C.It has two sides that are equal
The triangle is classified below.
B. Right
C. Isosceles
What is an isosceles triangle?In geometry, an isosceles triangle is a triangle that has two aspects of identical duration. Every so often it is specified as having exactly two facets of identical period, and once in a while as having at the least two aspects of equal duration, the latter version as a consequence consisting of the equilateral triangle as a special case.
What is a right triangle?A right triangle or right-angled triangle, or greater officially an orthogonal triangle, previously known as a rectangled triangle, is a triangle wherein one attitude is a right angle or two aspects are perpendicular.
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Find the area of ΔDEF to the nearest tenth. ANSWERS: A) 127.8 square units B) 46.5 square units C) 63.9 square units D) 23.3 square units
Answer:
C) 63.9 square units
Step-by-step explanation:
From the above diagram, we can see that the triangle has 2 sides and and angle
The formula for the area of a triangle that has 2 sides and an angle = 1/2absinθ
θ = 70°
a = DE = 8 units
b = EF = 17 units
Area of ΔDEF = 1/2 × 8 × 17 × sin 70°
Area of ΔDEF = 63.9 square units.
Answer:
63.9 square units
Step-by-step explanation:I took the test
Consider functions f and g below. [tex]g(x) = -x^2 + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.
Answer:
Step-by-step explanation:
Where is f(x)? My answers pertains only to g(x) = -x^2 + 2x + 4.
Part of B is true: As x approaches infinity in either direction, g(x) approaches negative infinity. The graph of g(x) is an inverted parabola.
Gina is building a tent. The dimensions of the tent are shown in the diagram.
10 ft
12 ft
16 ft
10 ft
10 ft
8ft
The tent is made of fabric. How many square feet of fabric were used to make the tent?
448 square feet
512 square feet
560 square feet
608 square feet
Answer:
608 ft
Step-by-step explanation:
(2(0.5bh)) + 2bh + bh
Answer:
its D
Step-by-step explanation:
what is the volume of a right triangle with the dimesions 24 20 12
Answer:
Assuming you mean area the answer is 120
Step-by-step explanation:
a right triangle has too shorter sides who are perpendicular and one longer side that you can't use. the longer side is 24 since 24>20>12
so 24 is the hypontenuse (longer side)
the two perpendicular sides are 20 and 12
the area for a triangle is b*h*1/2
the base (20) times the height (12) is 240. 240 times 1/2 is 120.
What is the value of q?
Answer:
14
Step-by-step explanation:
Calculate the mean of this data set: 12, 35, 44, 74, 23, 49, 45, 18, 90, 56, 84,
38, 7. What is the sample proportion of numbers that are within +10 of
the mean? (Round off the mean to the nearest integer for your calculations.)
Answer: 0.38
Step-by-step explanation:
The mean is the sum of all the observations divided by the number of observations. It is 44.2 (rounded off to 44) Next is fraction observations that lie between 34-35 (just answered this and it is correct)
Carol is cross-country skiing. The table shows the distance she traveled after various numbers of minutes. What is the rate of change? Distance Carol Traveled while Cross-Country Skiing Minutes Distance Traveled (miles) 2 StartFraction 1 Over 6 Endfraction 3 StartFraction 17 Over 48 EndFraction 4 StartFraction 13 Over 24 EndFraction 5 StartFraction 35 Over 48 EndFraction 6 StartFraction 11 Over 12 EndFraction StartFraction 1 Over 12 EndFraction StartFraction 1 Over 6 Endfraction StartFraction 3 Over 32 EndFraction StartFraction 3 Over 16 EndFraction
Answer:
3/16 miles/minute
Step-by-step explanation:
A rate of change describes how an output quantity changes relative to the change in the input quantity.
Points given:
Input Output
2 1/6
3 17/48
4 13/24
5 35/48
6 11/12
Here input values describe the time in minutes from 2 to 6 and output values describe the distance in miles from 1/6 to 11/12
Calculating the rate of change using the first two pairs of input-output values
Relative change = change in distance/change in time
(17/48 - 1/6)/(3-2) = (17/48 - 8/48) /1 = 9/48 = 3/16 miles/minute
We will get the same result if we take any other ordered pair of input and output values.
So D is your answer! Hope this helped!
Rate of change is the change in a particular variable, over another variable.
The rate of change is: 3/16 miles per minutes
To calculate the rate of change, we select any two points on the table (see attachment)
[tex](x_1,y_1) = (2,\frac 16)[/tex]
[tex](x_2,y_2) = (3,\frac{17}{48})[/tex]
The rate of change (m) is calculated as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{3-2}[/tex]
[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{1}[/tex]
[tex]m = \frac{17}{48} - \frac{1}{6}[/tex]
Take LCM
[tex]m = \frac{17- 8}{48}[/tex]
[tex]m = \frac{9}{48}[/tex]
Reduce fraction
[tex]m = \frac{3}{16}[/tex]
Hence, the rate of change is: 3/16 miles per minutes
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A geometric sequence of positive integers is formed for which the first term is 2 and the fifth term is 162. What is the sixth term of the sequence?
Answer:486
Step-by-step explanation:
(Multiply by 3 each time ;))
Hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
multipl each 3 times
Step-by-step explanation:
Find the slope of the line on the graph.
Answer:
m = -3/4
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the formula:
(0, 1) y-int
(4, -2) random
m = (-2 - 1)/(4 - 0)
m = -3/4
Find the equation of the line: With an x intercept of 4 and a y intercept of 1. PLEASE HELP I ONLY HAVE 15 MINUTES LEFT
Answer:
y = -1/4x + 1
Step-by-step explanation:
that is (0,1) and (4,0)
gradient
can be -1/4
c can be y = mx + c
we'll take anyone of the equation
1 = 0 + c
c = 1
Please Help Soon! A 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts. What is the positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece?
Answer: 6 feet
Step-by-step explanation:
Given that a 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts
Let assume that the 4 rectangles will be of the same area since they are congruent.
The area of the big rectangle will be
Area = 4 × 8 = 32
Divide 32 by 4
32/4 = 8
Suggest the two possible numbers in which their product will be equal to 8
4 and 2 or 8 and 1
If 4 and 2
The perimeter = 2L + 2B
Substitute the 4 and 2 into the formula
Perimeter = 2(4) + 2(2)
Perimeter = 8 + 4
Perimeter = 12
If 8 and 1
Perimeter = 2(8) + 2(1)
Perimeter = 16 + 2 = 18
The positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece will be:
18 - 12 = 6 feet
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Include a let statement in your answer.
Answer:
5$??.
Step-by-step explanation:
If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.
Answer:
5 dollars
Step-by-step explanation:
Let x be the price of each eraser
We bought a magazine and 4 erasers with 25 dollars
so : 5+4x = 25⇒ 4x= 20⇒x= 20/4⇒ x=5
The eraser costs 5 dollars
Need Help Please I'm Out Of Time ;(
The mean age of Lincoln's tee-ball team is 5. Suppose one of his 7-year-old teammates quits the team, but a 6-year-old joins the team. Is the mean age of Lincoln's team still 5? Explain your reasoning.
Answer:
No
Step-by-step explanation:
Mean age = (the sum of the ages)/number of people
So, if 7 is replaced with 6 ,the sum will be different so the mean age will not be the same
If it takes 13 cup of flour to make 14 of a cake, how many cups of flour are needed to make a whole cake? i need help plz
Answer:
1-1/3 if its 14
1/52 if its 1/4
Step-by-step explanation:
pllllllllzzzzzzz answer this!!!♥️♥️
9514 1404 393
Answer:
a) 7:24 pm
b) later than 7:24 pm
Step-by-step explanation:
The relationship between time, speed, and distance can be written as ...
time = distance/speed
So, Faris's travel time to London is predicted to be ...
time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours
__
a) Faris's expected arrival time at a speed of 50 mph is ...
3:30 pm +3:54 = 6:84 pm = 7:24 pm
__
b) Time is inversely proportional to speed, so a lower speed will result in a longer time.
Faris's arrival time will be later than 7:24 pm.
MULTIPLE CHOICE
What is 14+2(3x +9) - 5 when simplified?
A
20x +4
B
6x+27
С
X+27
Answer:
B: 6x+27
Step-by-step explanation:
14+2(3x+9)-5
14+6x+18-5
14+6x+13
6x+27 is the final answer
The Answer is: B
Step-by-step explanation:
for each graph state whether it’s a function
Answer:
Graph 1, 4, 6 are functions.
Graph 2, 3, 5 are not functions.
Step-by-step explanation:
If graph of a relation pass the vertical line test, then we can say the relation is a function.
In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.
To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.
In graph 1, open circle means the value x=-1 is not include it that.
From the below figure it is clear that:
Graph 1, 4, 6 pass the vertical line test, so they represent functions.
Graph 2, 3, 5 does not pass the vertical line test, so they are not functions.
pls help i give brainliest
Answer: B no
Step-by-step explanation:
Plot in the x and y coordinates into the equation to solve it.
The x coordinate is 4 and the y coordinate is 1
-4(4) +3(1)= 2
-16 + 3 = 2
-13 ≠2
-13 does not equal 2 so (4,1) is not a solution.
Answer: NO
Step-by-step explanation:
[tex]Substitute \\\\-4(4)+3(1)=2\\\\Multiply\\\\-16+3=2\\\\Combine \\like \\terms\\-13=2[/tex]
-13 does NOT equal 2, so it is not a solution
Hope it helps <3
Hi can someone plz help me with this question
Answer: n/4-1
Step-by-step explanation:
n/4 means how much each friend would have eaten if the pizza was equally divided and - 1 references to the one slice less he ate.
I NEED HELP CAN SOMEONE PLEASE ANSWER THIS ASAP PLEASE!!!
Answer:
y = 5x - 3
Step-by-step explanation:
ok so perpendicular just means the opposite reciprocal of the slope of the normal equation. It just means that they form a 90 degree angel when they intersect.
9. Annie works as a school tutor and a baker. As a tutor, she earns $18 per hour. Last
week she worked x hours as a tutor and her friend paid her $25 to bake a cake.
Write an expression to represent the total amount Annie earned last week.
Type your answer below:
The total amount Annie earned last week 18x+25.
What is work in math ?In conclusion, when a force acts on an object to induce a displacement, labor is done.To determine the amount of work, three quantities must be known. The force, the displacement, and the angle between the force and the displacement are the three variables.Annie earns $18 per hour. and she worked x hours .
So, total work = 18 * x = 18x
but she earned some extra cash = 25$
now Annie's total amount with extra cash = 18x + 25
Therefore, The total amount Annie earned last week 18x+25.
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A car begins to depreciate at a rate of 24.9% annually as soon as it is driven off the lot. If a car was purchased for 26,500; how much is it worth after the second year? The equation you used is? What is the value of the car after two years?
Answer:
13197
Step-by-step explanation:
You have to do 24.9*2 and then find that percent of 26500
Which of the following is equivalent to: -5 - 4?*
Answer:
-9
Step-by-step explanation:
-5 - 4 = -5 + (4)
You are adding two negative numbers, so add the absolute values of the numbers, and the sign of the answer is negative.
-5 - 4 = -(|-5| + |4|) = -(5 + 4) = -9