The number of ways 5 puppies can be chosen from a litter of 8 puppies is 56 ways
Permutation and CombinationPermutation has to do with arrangement while combination has to do with selection.
From the queston, since we are to select 5 puppies from a litter of 8 puppes, this can be done as shown:
8C5 = 8!/(8-5)!5!
8C5 = 8!/3!5!
8C5 = 8*7*6*5!/6*5!
8C5 = 8* 7
8C5 = 56ways
Hence the number of ways 5 puppies can be chosen from a litter of 8 puppies is 56 ways
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Consider the following regular octagon below
Answer:
The answer is given in the picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
The formula for interior angle of any polygon is (n-2) x 180 / n where n is the number of sides.
An octagon has 8 sides:
Part A.
interior angle = (8-2) x 180 /8
Interior angle = 135 degrees
Part B.
3x -57 = 135
Add 57 to both sides:
3x = 192
Divide both sides by 3:
X = 64
Sadie is saving for a new car. Below is the total amount of money in her savings account on the last day of each month. Show all steps to find the mean amount of money Sadie saves each month. Round your answers to the nearest cent.
What is the lateral area of the prism? What is the surface area of the prism?
Answer:
Lateral surface area=perimeter×Height
Total surface area=Perimeter (p)×Height(h)+2×Area of cross section
A
xxx-coordinate of point AAA
(Choice B)
B
yyy-coordinate of point AAA
(Choice C)
C
xxx-coordinate of point BBB
(Choice D)
D
yyy-coordinate of point BBB
(Choice E)
E
xxx-coordinate of point CCC
(Choice F)
F
yyy-coordinate of point CC
The coordinate point of a point is the location (i.e. the x and y location) on the coordinate plane
The x-coordinate of point AFrom the complete question (see attachment), the coordinate of point A is:
A = (-4,1)
This means that the x-coordinate of point A is -4
The y-coordinate of point AIn (a), we have the coordinate of point A to be
A = (-4,1)
This means that the y-coordinate of point A is 1
The x-coordinate of point BFrom the complete question, the coordinate of point B is:
B = (3,-2)
This means that the x-coordinate of point B is 3
The y-coordinate of point BIn (c), we have the coordinate of point B to be
B = (3,-2)
This means that the y-coordinate of point B is -2
The x-coordinate of point CFrom the complete question, the x-coordinate of point C is the same as the x-coordinate of point A
Given that the x-coordinate of point A is -4
This means that the x-coordinate of point C is -4
The y-coordinate of point CFrom the complete question, the y-coordinate of point C is the same as the y-coordinate of point B
Given that the y-coordinate of point B is -2
This means that the y-coordinate of point C is -2
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Which is f(5) for the function –2x2 2x – 3? –107 –63 –43 –37
Answer:
- 43
Step-by-step explanation:
f ( x ) = - 2x² + 2x - 3
To find : f ( 5 )
f ( 5 ) = f ( x )
Here,
x = 5
f ( 5 ) = - 2x² + 2x - 3
= - 2 ( 5 )² + 2 ( 5 ) - 3
= - 2 ( 25 ) + 10 - 3
= - 50 + 7
f ( 5 ) = - 43
Answer:
-43
Step-by-step explanation:
oon edge
mark me brain
Michael is studying two number patterns. Pattern A starts at 0 and has the rule "add 4. " Pattern B starts at 0 and has the rule "add 2. " What is the relationship between corresponding terms in the two patterns?
The terms in Pattern B are one half the corresponding terms in Pattern A.
The terms in Pattern B are one fourth the corresponding terms in Pattern A.
The terms in Pattern B are 4 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A
Answer:
B
Step-by-step explanation:
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The ellipse with the equation 9x2 + 16y2 = 144 ________.
a. is in Position II
b. has no symmetry
c. is in Position I
d. has no foci
Please help me figure out how to determine this!!
The ellipse with the equation stated above is:
Position I (Option C )
An ellipse is a circle that has been extended in one direction such that it is no longer a circle but an oval.
Solution
In order to determine the position of the ellipse with the above equation, we can start by simplifying the equation.
Hence, 9x² + 16y = 144 becomes
x²/16 + y²/9 = 1 (We arrive at this by dividing both sides of the equation by 144);
The x-axis is the major axis because the biggest denominator is under the x² term.
Thus the coordinates of the vertices are as follows:
(± a, 0); (0, ± b)
Hence:
a² = 16 → a = 4
b² = 4 → b = 2
Hence the coordinates are:
(± 4, 0); (0, ± 2)
Given the above, the eccentricity is given as:
e = √(1 - (3/4)^2 = (√7)/4 = 0.6614378
Hence the ellipse is: 0.66
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If you borrow $500 at 5% for two years, how much will you pay backboy the end of the term?
Interest be I
I=PRT/100I=500(5)(2)/100I=5²(2)I=25(2)I=$50Total:-
P+I500+50$550NEED HELP PLEASE!!!!
The expressions are equivalent.
[tex] \sqrt{ \frac{2x}{9} } = \frac{ \sqrt{2x} }{ \sqrt{9} } = \frac{ \sqrt{2x} }{3} = \frac{1}{3} \sqrt{2x} \\ [/tex]
Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x 1 out of a larger piece of paper. which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4? (5x−2) (3x 1); 31 centimeters (5x−2) (3x 1); 36 centimeters 2(5x−2) 2(3x 1); 62 centimeters 2(5x−2) 2(3x 1); 70 centimeters
The expression that can be used to find the perimeter of the rectangle is 62 centimeters 2(5x−2)+2(3x+1).
What is the perimeter of the rectangle?The perimeter of the rectangle is equal to the 2 times sum of the length and width of the rectangle.
Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper.
The expression that can be used to find the perimeter of the rectangle is given by;
[tex]\rm Perimeter \ of \ rectangle = 2 (length +width)\\\\\rm Perimeter \ of \ rectangle = 2 (5x-2+3x+1)\\\\ \rm Perimeter \ of \ rectangle = 2 (7x-1)\\\\ \rm Perimeter \ of \ rectangle = 16x-2\\\\When , x\ =\ 4\\\\ \rm Perimeter \ of \ rectangle = 14x-2\ = 16(4)-2\ =\ 64-2\ =\ 62\\[/tex]
Hence, the expression that can be used to find the perimeter of the rectangle is 62 centimeters 2(5x−2)+2(3x+1).
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Find the area please!!!
Answer:
32.24
Step-by-step explanation:
To get the height, use Pythagoras theorem on the smaller triangle
8^2=2^2+x^2
x^2=64-4
x=√60=2√15.
then for the base use P.T for the bigger triangle
10^2=y^2+√60^2
y^2=100-60
y=√40=2√10
1/2×(2√10+2)×2√15
=32.24
The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. the stopping distances and speeds are shown in the table below. stopping distance of a car vs. speed stopping distance, d (in feet) speed, s (in miles per hour) 20 17.89 40 25.30 60 30.98 80 35.78 100 40.00 which equation best represents the data in the table? s = 4 startroot d endroot s = 0.37 d 20 s = 13.7log(d) s = startfraction 1 over 25 endfraction d squared
Answer:
The answer is (A.)
Step-by-step explanation:
Answer: A on edge 22
Step-by-step explanation:
Trevor has an investment worth $6,774.50. he made his only deposit in it 22 years ago. given that the investment yields 2.7% simple interest annually, how big was the initial deposit? a. $2,524.50 b. $4,024.03 c. $4,250.00 d. $11,404.88 please select the best answer from the choices provided a b c d
Answer:
c. 4,250.00
Step-by-step explanation:
The initial deposit amount is $4,250.00.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that,
The worth of an investment is $6774.50
The time period is 22 years.
The rate of interest is 2.7%.
Now, Based on the above information, the calculation is as follows:
We know that;
SI = P x r x t
SI = P x 2.7% x 22
SI = 0.594P
Now,
Investment worth = P + SI
= P + 0.594P
= 1.594P
So, we get;
1.594P = 6774.50
P = $4,250
Therefore, we can conclude that the initial deposit amount is,
⇒ $4,250.00
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A landscaping company uses a mixture of 20 pounds of grass seed and 356 pounds of fertilizer when reseeding a customer's lawn.
How many pounds of fertilizer will the company need for each pound of grass seed?
O A. 20
O B. 5. 6
O C. 16. 0
D. 17. 8
Answer:
D
Step-by-step explanation:
for 20 pounds of grass seed, we need 356 pounds of fertilizer
20 pounds of grass seed : 356 pounds of fertilizer
divide both sides by 20 to get 1 pound of grass seed on one side, as we want to figure out the corresponding amount of fertilizer for 1 pound of grass seed
20 pounds of grass seed/20 : 356 pounds of fertilizer/20
1 pound of grass seed: 17.8 pounds of fertilizer
Find the mean
X. 10 20 30 40 50 60
F. 4 5 6 2 3 5
Answer:
Mean:To find the mean, you must add all the given numbers in your data then divide the sum of that by the many numbers you added together.X.
10, 20, 30, 40, 50, 60
Add them:
10 + 20 + 30 + 40 + 50 + 60
= 210
Then divide that sum by the many numbers there are, and there are 6 numbers in which we added.
210 ÷ 6
= 35, the mean for this is 35.
F.
4, 5, 6, 2, 3, 5
Add them:
4 + 5 + 6 + 2 + 3 + 5
= 25
Then divide that sum by the many numbers there are, and there are 6 numbers in which we added.
25 ÷ 6
= 4.1666..., the mean for this is 4.17.
Sorry if the photo is bad :)
So, before solving further, let's recall that, a deck of card have 52 cards, with 26 black cards, and 26 red cards, out of which, let's first consider red cards,so 13 of 26 are heart, and the other 13 out of 26 is diamond, now let's consider the black cards, so 13 of 26 black cards are spades and the other 13 out of 26 black cards are clubs, every type have an ace card, and 9 cards numbering from 2-10 and three face cards naming, queen, king and Jack. And the probability of any event is defined as the ratio of no. of favourable outcomes to Total no. of possible outcomes, so let's stary solving all the parts one by one :
7) [tex]{:\implies \quad \sf P(Red\:\:card)=\dfrac{26}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Red\:\:card)=\dfrac12}}}[/tex]
8) [tex]{:\implies \quad \sf P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}}}[/tex]
9) [tex]{:\implies \quad \sf P(Ace)=\dfrac{4}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Ace)=\dfrac{1}{13}}}}[/tex]
10) [tex]{:\implies \quad \sf P(A\:\:black\:\:10)=\dfrac{2}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(A\:\:black\:\:10)=\dfrac{1}{26}}}}[/tex]
11) [tex]{:\implies \quad \sf P(A\:\:heart)=\dfrac{13}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(A\:\:heart)=\dfrac14}}}[/tex]
12) [tex]{:\implies \quad \sf P(Not\:\:a\:\:club)=\dfrac{39}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Not\:\:a\:\:club)=\dfrac34}}}[/tex]
Find the volume of the cylinder.
Either enter an exact answer in terms of pi or use 3.14 for pi
Volume of cylinder,=πr²h
(22÷7)×5²×3
3.14×25×3
235.5
Answer :
235.5 units³
What is the volume of a right rectangular prism with a length of 4.8 meters, a width of 23 meters, and a height of 0.9 meters?
A.4.968 m
B.9.936 m
C.11.94 m
D.34 86 m
Answer:
Volume of prism = Area of base× height
= l×b×h
=4.8×23×0.9
= 99.36 m³
All options are incorrect : )
Answer:
The answer is B
Step-by-step explanation:
Im 3 weeks late lol sorry. I took the quiz.
The front of an A-frame house is in the shape of a triangle. The height of the house is 20 feet. The area of the front of the A-frame is 600 square feet. What is the length of the base of this house?
Answer: the lenght is 30 feet
Step-by-step explanation:
if this is hight times lenght then yea it should be 30 feet
PLEASE HELP!!
it’s multiple choice but i never get any of the answers.
differentiate y=x^(e^x)
We are given the function to differentiate:
[tex]{\quad \qquad \sf \rightarrow y=x^{e^x}}[/tex]
Do take natural log on both sides, then we will be having
[tex]{:\implies \quad \sf ln(y)=ln(x^{e^{x}})}[/tex]
[tex]{:\implies \quad \sf ln(y)=e^{x}ln(x)\quad \qquad \{\because ln(a^b)=bln(a)\}}[/tex]
Now, differentiate both sides by using so called chain rule and the product rule
[tex]{:\implies \quad \sf \dfrac{1}{y}\dfrac{dy}{dx}=e^{x}ln(x)+\dfrac{e^x}{x}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\dfrac{dy}{dx}=x^{e^x}\bigg\{\dfrac{e^x}{x}+ln(x)e^{x}\bigg\}}}}[/tex]
Hence, Option B) is correct
Product rule of differentiation:
[tex]{\boxed{\bf{\dfrac{d}{dx}(uv)=u\dfrac{dv}{dx}+v\dfrac{du}{dx}}}}[/tex]Where, u and v are functions of x
Hakeem buys a two-gallon bottle of juice for $25.60. What is the unit rate of the cost
of the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup=8 fluid ounces
-
Before you try that problem, answer the question below.
How many fluid ounces of juice did Hakeem buy?
try
Answer:
256 fluid ounces
Step-by-step explanation:
2 gallons = 8 quarts
8 quarts = 18 pints
18 pints = 32 cups
32 cups = 256 fluid ounces
1 gallon = 4 quarts x 2 that's 2 gallons = 8 quarts
1 quarts = 2 pints x 8 that's 8 quarts = 16 pints
1 pints = 2 cups x 16 that's 16 pints = 32 cups
1 cup = 8 fluid ounces x 32 that's 32 cups = 256 fluid ounces
Which deal is better $1.95 for 5 kg or $0.96 for 2 kg
Answer:
$1.95 for 5kg
Step-by-step explanation:
0.96 x2 is 1.92 and not even 5kg so if you get 5kg worth of the 0.96$ per kg then it will be more expensive.
So $1.95 for 5kg is the better deal.
A jar contains nine black buttons and four brown buttons. If nine buttons are picked
at random, what is the probability that all of them are black?
Answer:
9/13
Step-by-step explanation:
Total = 9 + 4
= 13
Probability: 9/13
∣x−7∣<9 what is the answer
Answer:
x < 16
Step-by-step explanation:
∣x−7∣ < 9
x < 9 + 7
x < 16
Answer:
7x < 9
Step-by-step explanation:
because the absolute value of -7 is 7 and 7 + x = 7x.
Bertha bought a cake that weighs 7 kilograms. Jessup's cake weighs 6,537 grams.
A. Jessup’s cake weighs more than Bertha’s cake.
B. The expression 7 x 1,000 can be used to find the weight of
Bertha’s cake in grams.
C. Bertha’s cake weighs 463 grams more than Jessup’s cake.
D. Jessup’s cake weighs more than 6 kilograms.
Please help me asap with my grade 11 trigonometry math! I'll give brainliest, please help, thank you. *URGENT*
Answer:
Around 295m
Step-by-step explanation:
Answer:
295.44 m to the neaest hundredth
Step-by-step explanation:
A line drawn from the kite perpendicular to the ground forms 2 right triangles. Let this line be x m.
Also let y be the distance from Allison to the bottom of the line.
Consider 'Alison' triangle
cos 70 = y/150
y = 51.303 m
sin 70 = x/150
x = 150 sin 70 = 140.954 m
Consider 'Marcs' triangle
tan 30 = x / (AM - y)
tan 30 = 140.954 / (AM - 51.303)
AM - 51.303 = 140.954/tan 30
AM = 140.954/tan 30 + 51.303
AM = 295.442 m
HELP NEEDED NOW/ASAP PLS NO LINKS AND NO JOCKING.
AND PLS SHOW UR WORK IF POSSIBLE
evaluate (-3 1/3)^2
[tex]\\ \rm\Rrightarrow (-3\dfrac{1}{3})^2[/tex]
[tex]\\ \rm\Rrightarrow (\dfrac{-10}{3})^2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{(-10)^2}{3^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{100}{9}[/tex]
[tex]\\ \rm\Rrightarrow 11\dfrac{1}{9}[/tex]
Answer:
100/9 (or) 11 1/9
Step-by-step explanation:
Q) (-3 1/3)² = ?
→ (-3 1/3)²
→ (-10/3)²
→ 100/9
→ [ 11 1/9 ]
Hence, the solution is 11 1/9.
TREES A redwood tree can grow to be
about six times as tall as a pine tree.
Suppose a common pine tree measures
about 56 feet tall. Write and solve an
equation it to find the approximate
height of a redwood tree.
Answer:
336 feet
Step-by-step explanation:
We can multiply to solve this :)
56 x 6 = 336
Have an amazing day!!
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Need help math problem
Answer:
Question 16: 44 inches
Question 18: 10, 24, 26
Step-by-step explanation:
Question 16:
Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side.
125^2 = 117^2 + b^2
15,625 = 13,689 + b^2
15,625 - 13689 = b^2
1936 = b^2
√1936 = b
44 = b
Question 18:
Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side. You have to try all the possibilities. The ones that match are the lengths.
The answers are 10, 24, 26
c^2 = a^2 + b^2
26^2 = 10^2 + 24^2
676 = 100 + 576
676 = 676
3sqrt x =x-4
[tex]3 \sqrt{x} = x - 4[/tex]
solve for x
Answer:
x = 16
Step-by-step explanation:
3√x = x - 4
Raise the equation to the second power.
(3√x)² = (x - 4)²
9x = x² - 8x + 16
Rewrite the equation with the values on the left.
-x² + 17x - 16 = 0
x² - 17x + 16 = 0
Factor.
(x - 16)(x - 1) = 0
Set each part equal to 0.
x - 16 = 0
x = 16
x - 1 = 0
x = 1
Your solutions are 16 and 1, but it doesn't end there. Both of these may not satisfy the original equation, so plug them back in.
3√x = x - 4
3√16 = 16 - 4
3(4) = 12
12 = 2
16 is a solution.
3√x = x - 4
3√1 = 1 - 4
3(1) = -3
3 ≠ -3
1 is NOT a solution.