Answer: 360 degrees
Step-by-step explanation:
You are given a convex polygon that has 7 sides and one angle at each vertex.
The sum of the measure of external angle of a polygon Inrespective of the number of sides of the polygon will always be equal to 360 degree.
Therefore, the sum of the measure of its exterior angles is 360 degrees
If a function f has an inverse and f(1) = -3, then f-1(-3) = 1.
A) True
B) False
Answer:
A) True
Step-by-step explanation:
The ordered pair for the first expression is ...
y = f(x)
-3 = f(1)
(x, y) = (1, -3)
The ordered pair for the second expression is ...
y = f^-1(x)
1 = f^-1(-3)
(x, y) = (-3, 1)
The second ordered pair is the reverse of the first, so represents a point described by the inverse function. The statement is True.
PLEASE HELP ME WITH THIS ILL GIVE 100 points , brainliest and follow you ❤️
PLEASE HELP MEEEEE
Answer:
1) There are 26 letters in the alphabet. Thus, 27 people must be chosen because otherwise there could be 1 person per initial.
2) There are 7 days in a week. Thus, if the first 7 had their birthdays on every day of the week, the 8th person must share a birthday on the same day of the week as another.
3) A phone number can contain 0,1,2,3,4,5,6,7,8,9. Thus, if the first 10 people have a phone number that ends with each digit, the 11th must share it, as there are no unique options.
4) 100/2 = 50. Thus, the minimum each bag could have is 50.
5) 19/3 > 6. The maximum number you could get with numbers less than seven is 6,6,6 = 18. 18<19. Thus, you need a number 7 or greater.
6) The worst scenario that could happen here is that you grab 8 German books, 10 French books, and 12 Spanish, Russian and Italian books. This would be 54 books. Thus, with the 55th book, you must have gotten 12 of at least one subject. Thus, the answer is 55 books.
7) This is vague. If she cannot repeat any of the three jokes in the triplet, then she must have 36 jokes for this to be possible, because 12*3=36
8) Each of the remaining 29 students made less than 12 mistakes. Even if 2 students made 11,10,9,8,7,6,5,4,3,2,1 mistakes, there would still be multiple students left that would have made 11,10,9,8,7,6,5,4,3,2, or 1 mistake(s), meaning that at least 3 students made the same amount of mistakes.
9) 465/95 = about 4.9. Thus, each table could have less than 6 seats, so we cannot be sure.
Hope it helps <3
Step-by-step explanation:
4.
Bags contain x and y numbers of marbles.
x + y > 100
The least number that is more than 100 is 101.
If x and y are both less than 51, then you have at most a total of 100 marbles.
To have 101 marbles, you must have one bag with at least 51 marbles, and the other bag with the rest. Neither bag must have at least 50 marbles. You can have 1 and 100, but that is still more than 50 marbles in one bag.
6.
You are looking for 12 books in the same language. Let's say you start by picking all 10 French books and all 8 German books. You are up to 18 books. There are no more French or German books, so you can't get to 12 books in one language with those. Now you pick 11 Spanish books, 11 Russian books, and 11 Italian books. That is another 33 books, and still no 12 books in one language. You already picked 18 books + 33 books = 51 books. The very next book must be a Spanish book or a Russian book or an Italian book, and it will make the 12th book of that language. You need to pick 52 books to be sure you have 12 of the a single language.
Answer: 52 books
7.
You need enough jokes to have 12 different combinations of 3. This is a case in which order does not matter.
If you have 3 jokes, named A, B, and C, you only have enough for 1 year, since ABC, ACB, BAC, BCA, CAB, and CBA are all the same triple of jokes.
This is a combination problem.
nCk = (n!)/[k!(n - k)!]
We know we need more than 3 jokes. Let's try 4.
n = 4
nCk = (4!)/[3!(4 - 3)!]
nCk = 4
We need 12, so 4 is not enogh.
n = 5
nCk = (5!)/[3!(5 - 3)!]
= 5 * 4/2
= 10
Now enough.
Try n = 6
nCk = (6!)/[3!(6 - 3)!]
= 20
With 6 different jokes, you can make 20 different triplets, so there is no need to repeat any triplet in 12 years.
Answer: 6 jokes
plz answer asap will mark brainliest
Answer:
10 s'mores
Step-by-step explanation:
20 ÷ 2 = 10
but only if she has enough of the other ingredients too :)
Answer:
10 smore's
Step-by-step explanation:
If 2 graham crackers is required to make 1 smore
then 20 graham crackers will make 10 smore's
2 x 10 = 20
Graph y=-3x+7 Plz help me
Answer:
y=MX+b
Step-by-step explanation:
b is your y intercept
m is your slope
Answer:
so first start at the origin which is point (0,0). Go up the y-axis 7 points if the graph is scaled by 1s-- do this because the y intercept is point (0,7). Next count 3 points up and one point to the left since the slope of the graph is negative 3. Continue to go up three points and one point to the left until you cannot do so. To go the other way and finish the graph go back to your y intercept (0,7) and go three points down and one point to the right. Continue to do so until there's no more points on the graph and you're done!
10 points will give brainliest, In the picture
Answer: the correct answer is W or the first one
Step-by-step explanation:
All you do is transform the graph :)
I hope I helped, if i did please mark brainliest!! Thank you!!
20 points! plus brainliest.
Scenario 1: You and a friend take turns choosing marbles at random from a jar containing 13 red marbles and 13 blue ones. Once you select a marble, you record the color of the marble and do not return the marble to the jar.
Scenario 2: You and a friend take turns choosing marbles at random from a jar containing 13 red marbles and 13 blue ones. Once you select a marble, you record the color of the marble and return the marble to the jar.
a) Identify each scenario as independent or dependent. Explain your answer.
b) Are the probabilities of selecting two blue marbles in each scenario the same or different? Explain your answer.
The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD? Conversion Chart USD CAD 5 4.95 7 6.93 8 7.92 11 10.89 ANSWERS: A) 18.00 CAD B) 21.66 CAD C) 24.75 CAD D) 34.65 CAD
Answer:
C
Step-by-step explanation:
24.75
The graph of the function P(x) = −0.74^2 + 22x + 75 is shown. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands: If the company wants to keep its profits at or above $175,000, then which constraint is reasonable for the model? −3.09 ≤ x ≤ 5.6 and 24.13 < x ≤ 32.82 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82 −3.09 ≤ x ≤ 32.82 5.6 ≤ x ≤ 24.13
Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function[tex]P(x) = -0.74^2 + 22x + 75[/tex] . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
The constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
What are functions?Functions are the connection between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
To keep the profits at or above $175,000, we need to solve the inequality P(x) ≥ 175. Let's substitute P(x) with its expression and solve for x:
P(x) = −0.74x² + 22x + 75
−0.74x² + 22x + 75 ≥ 175
−0.74x² + 22x − 100 ≥ 0
0.74x² − 22x + 100 ≤ 0 (dividing by -1 and changing the direction of the inequality)
Now we can solve this quadratic inequality by finding the zeros of the corresponding quadratic equation:
0.74x² − 22x + 100 = 0
Solving this equation, we get x = 5.6 and x = 24.13.
So, the solution to the inequality is 5.6 ≤ x ≤ 24.13.
Therefore, the constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.
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Help ASAP! Will give out brainliest! Questions: Classify the system of equations and identify the number of solutions. 3x + y = 4 12x + 4y = 16 Answers: consistent, independent; one inconsistent; none consistent, dependent; one consistent, dependent; infinite
Answer:
the 2 equations are on top of each other, they are the same line
which means it is consistent, dependent, infinite
Step-by-step explanation:
the second equation is just 4 times the first equations.
A bottle of the medicine contains 0.5 kilograms of the medicine. One dose of the medicine is 20 grams for a child and 45 grams for an adult. The number of grams used can be calculated with the formula 20C + 45A, where A is the number of adult doses and C is the number of child doses. If a medical assistant needs to give a dose of the medicine to 12 adults and 10 children, will there be enough medicine in the bottle? If not, how many more grams will be needed?
Answer:
Step-by-step explanation:
I
x2 =16x−64 what’s there answer?
Answer:
x=8
Step-by-step explanation:
x2=x*x
Plug in 8
8*8=64
64=16(8)-64
64=128-64
64=64
PLEASE HELP THE QUESTION IS BELOW!!
Answer:
[tex]\boxed{35\°}[/tex]
Step-by-step explanation:
Angle 1 is 55 degrees.
The whole angle of the upward left corner is 90 degrees.
[tex]90-55=35[/tex]
Corresponding angles are equal. The 35 degrees angle and angle 2 are corresponding angles.
Angle 2 is 35 degrees.
Find the angle between the given vectors to the nearest tenth of a
degree.
U = 13i - 8j V = 2i + 9j
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
The cost to order 2 hamburgers and a milkshake from the menu shown is _____. $4.30 $5.30 $3.55 $5.35
Answer:
$5.30
Step-by-step explanation:
2 hamburgers = 2 ( 1.75) = 3.50
1 milkshake = 1.80
Add them together
3.50+1.80 = 5.30
Answer:
5.80
Step-by-step explanation:
Given:
Price of hamburger=1.75
"of Hot dog=1.25
"of French fries=0.95
"of Milkshake=1.80
"of Soda pop=0.75
Required:
The cost to order 2 hamburgers and a milkshake from the menu shown=?
Formula:
2(Hamburger)+1(Milkshake)=Cost
Solution:
2(1.75)+1(1.80)=5.30
3.5+1.80=5.30
Hope this helps ;) ❤❤❤
What is the length of BC given that figure ABCD is a rectangle
A. 11
B. 8
C. 16
D. 22
Answer:
C, 16
Explanation:
A rectangle has 4 sides, two of which have equal side lengths (the ones across from each other.) BC is equal to AD because of this rule. Hope this helps!
The measure of length BC of the rectangle will be 16 units. Then the correct option is C.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.
From the diagram, we have
AD = BC = 16 units
Then the correct option is C.
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Can someone help with this to! Thanks
Answer:
x=7
Step-by-step explanation:
15+14+14+11=54
75-54=21
21/3=7
Answer:
x = 7ft
Step-by-step explanation:
Turn it into an equation:
x + 15 + 14 + 14 + 2x + 11 = 75
3x + 54 = 75
3x = 21
x = 7ft
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2.
15^2+ b^2=25^2
225+b^2= 625
b^2=400
b= 20 or x=20
Answer:
x = 20
Step-by-step explanation:
This is a right triangle and we know 2 of the points so we can use the Pythagorean Theorem to solve. The formula for the Pythagoreom Theroem is a^2 + b^2 = c^2. Side a is 15 and Side b is x. Side c or the hypotenuse is 25. Let's solve for side b:
a^2 + b^2 = c^2
15^2 + b^2 = 25^2
225 + b^2 = 625
Subtract 225 from both sides to get b^2 alone.
b^2 = 625 - 225
b^2 = 400
Find the square root of both sides.
b = 20 or x = 20
Would appreciate it if you gave me brainliest answer :)
If a person walks 1/2 mile in 20 minutes, how far will that person walk in one hour?
Answer:
1 1/2 mile.
Step-by-step explanation:
There is 60 minutes in an hour, 60/20 is 3. 1/2*3=1.5
Answer:
1 1/2 miles or 3/2 miles
Step-by-step explanation:
We can represent the person's walking rate as the ratio 1/2 mile : 20 minutes. Since we can multiply both sides of a ratio without changing the rate, we can rewrite it as ---> 3*(1/2) miles : 3*20 minutes = 3/2 miles : 60 minutes =
1 1/2 miles : 1 hour
An alternative way would be to convert 20 minutes into 1/3 of an hour. We can set up an equation:
mph * 1/3 hour = 1/2 mile
Therefore, the mph must be 1/2 divided by 1/3, because we are multiplying by 1/3, and division is the opposite of multiplication.
mph = (1/2)/(1/3) = (1/2) * 3 = 3/2 or 1 1/2
Primo car rental agency charges $24 per day plus $0.40 per mile. Ultimo car rental agency charges $38 per day plus $0.90 per mile. Find the daily mileage for which the Ultimo charge is twice the Primo charge. The mileage is _____. .
Answer:
when the distance driven per day is 100 miles
Step-by-step explanation:
Start by writing an equation for the daily charge of each company
Let's call p(x) what the primo car rental charges per mile "x", and let's call u(x) what ultimo rental charges;
p(x) = 24 + 0.4 x
u(x) = 38 + 0.9 x
when would u(x) be twice the p(x) charge?
u(x) = 2 p(x)
38 + 0.9 x = 48 + 0.8 x
0.9 x - 0.8 x = 48 - 38
0.1 x = 10
x = 100
so, such happens when the distance driven per day is 100 miles
Experiment consist of drawing one card from a standard 52 card deck. What is the probability of drawing a black 10?
Answer:
2/52 or 1/26 or 0.0385 or 3.85%
Step-by-step explanation:
There are 2 black 10's in a standard 52 card deck.
2/52 or 1/26 or 0.0385 or 3.85% (depending on how your teacher wants it expressed)
Please help!! Let f(x) = 9x3 + 21x2 − 14 and g(x) = 3x + 1. Find f of x over g of x. 3x^2 + 6x - 2 - (12/3x + 1) 3x^2 + 6x - 2 + (12/3x + 1) 3x^2 + 6x + 2 - (12/3x + 1) 3x^2 + 6x + 2 + (12/3x + 1)
Answer:
There is a typo! Please fix this so I can answer
Step-by-step explanation:
At the beginning of July, Zachary opened a savings account that pays 4% interest on money in the account at the end of the year. How much money does Zachary have at the end of the year if he deposits $150 each month for the rest of the year? a $936 b $70 c $1870 d $2000
Answer:
$936
Step-by-step explanation:
We have to take the interest, 4%, and multiply it by 150 which equals 6. Since there are 6 months left in the year, we multiply this number by 6 which gets us 36. Next, we have to take the amount that Zachary puts in the account each month, $150, and multiply it by 6 months which equals to $900. Finally, we add the total amount of interest, $36, and the total amount of money he puts in during the year, $900.
PLEASE HELP THE QUESTION IS BELOW!!
Answer:
Step-by-step explanation:
B=3x-2
C=12x+2
D=B=3x-2 (Vertically opposite angles)
A=?
Now; we know, A+B+C+D=360 deg.
=>A=360-(B+C+D)
=360-(3x-2+12x+2+3x-2)
=360-(18x-2) ----[1]
B+C=180 deg. (linear pair)
=> 3x-2+12x+2=180
=> 15x=180
=> x=180/15
=12 ---[2]
subsitute [2] in [1];
=> A= 360-(18x-2)
= 360-(18*12-2)
= 360-(116-2)
= 360-214
= 146 deg.
So, the correct answer is (D).
Hope the answer is useful.
Answer:
146°Step-by-step explanation:
Given,
< B = 3x - 2
<C = 12x + 2
Let's find the value of X
<B + < C = 180° ( sum of angle in straight line)
plug the values
[tex]3x - 2 + 12x + 2 = 180[/tex]
Collect like terms
[tex]15x - 2 + 2= 180[/tex]
Since, two opposites add up to zero, remove them from the equation
[tex]15x = 80[/tex]
Divide both sides of the equation by 15
[tex] \frac{15x}{15} = \frac{80}{15} [/tex]
Calculate
[tex]x = 12[/tex]
Replacing value,
<C = 12x + 2
plug the value of X
[tex] = 12 \times 12 - 2[/tex]
Multiply the numbers
[tex] = 144 + 2[/tex]
Calculate the difference
[tex] = 146[/tex]
The measure of <C is 146°
Here,
<A = < C ( being vertically opposite angles)
Vertically opposite angles are always equal.
<A = 146
Hence, Option D is the correct answer.
Hope this helps...
Best regards!!
1. From a circular sheet of radius 18 cm, two circles of radii 4.5 cm and a rectangle of length 4 cm and breadth 1 cm are removed; find the area of the remaining sheet. [π = 22/7 ]
Area of a circle = PI x r^2
Area of sheet = 22/7 x 18^2 = 1,018.29 square cm.
Area of small circle = 22/7 x 4.5^2 = 63.64 square cm.
There are 2 small circles so total area of the circles are 63.64 x 2 = 127.28 square cm.
Area of rectangle = l x w = 4 x 1 = 4 square cm.
Total area of cutouts = 127.28 + 4 = 131.28 square cm.
Area of sheet left, subtract area of cutouts fro area of sheet:
1018.29 - 131.28 = 887.01 square cm.
Round everything as needed.
If cos x=−6/7, and 90°
Answer: 0.4693877
Step-by-step explanation:
Given that:
cos x=−6/7,
From trigonometry :
Cosx + sinx = 1
Cos2x = cos(x + x)
Recall the double angle identity:
Cos2x = 2cos^2x - 1
Sin2x = 1 - 2sin^2x
Since cosx = - 6/7
Then
Cos2x = 2cos^2x - 1
Cos2x = 2cosx^2 - 1
Cos2x = 2(-6/7)^2 - 1
Cos2x = 2(36/49) - 1
Cos2x = 2 * (72/98) - 1
Cos2x = (2 * 0.7346938) - 1
Cos 2x = ( 1.4693877 - 1)
Cos2x = 0.4693877
A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?
==========================================
Explanation:
We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).
Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.
---------
You can use the combination formula with n = 12 and r = 3. Doing so will give the following:
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\[/tex]
As you can see, we get the same result and note how 1320/6 is also present as well.
The greatest number of different 3-person teams that can be chosen is 220.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
The Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
Consider the set {A,B,C}.
3*2*1 = 6 ways to arrange this set of letters.
When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC.
We can use the combination formula with n = 12 and r = 3.
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^{12}C_3= \dfrac{12!}{3! \times (12-3)!} ways.\\\\\\^{12}C_3= \dfrac{12!}{3! \times (9)!} ways.\\\\^{12}C_3= \dfrac{12 \times 11 \times 10 \times 9}{3! \times (9)!} ways.[/tex]
1320/6 = 220
Thus, the greatest number of different 3-person teams that can be chosen is 220.
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Jordan weighs twice as much as
Sam. Togcther, they weigh 180
pounds. How much do each of
them weigh?
Answer:
Jordan weighs 120 pounds, Sam weighs 60 pounds
Step-by-step explanation:
We can create an equation 2s=J. Our second equation is S+J=180. We can substitute J for 2s and our new equation will be 3s=180. We can divide 3 from both sides and we get s= 60. And we know that Jordan weighs two times as sam, then Jordan weighs 120 pounds.
Answer: Jordan=120. Sam=60
Step-by-step explanation: Together they weigh 180 pounds Jordan weighs twice as much as sam. We can write their values as Sam=x and Jordan=2x then we can make a equation
2x+x=180
3x=180
x=60
Then we can substitute x in Jordan and sams values to get our final answe;
Jordan=120. Sam=60
Jill has two dimes she is going to use to perform a probability experiment. What will the sample space look like if she flips the two dimes simultaneously
Answer: Experimental probability
Step-by-step explanation:
Probability helps us to know the chances of an event occurring. The sample space will have 4 outcomes.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that Jill has two dimes she is going to use to perform a probability experiment. The sample space looks as if she flips the two dimes simultaneously as shown below. The sample space will have 4 outcomes.
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∠Q and ∠R are complementary. If m∠Q = 33.8°, what is m∠R ? m∠R = 146.2° m∠R = 33.8° m∠R = 123.8° m∠R = 56.2°
Complementary angles add together to equal 90 degrees.
R = 90 - 33.8
R = 56.2 degrees.
Please Help!
Which equation can be used to solve for b?
Answer:
tan (30°) = b/5
Step-by-step explanation:
this is the answer