Answer:
[tex]Range = \{4,7,9\}[/tex]
Step-by-step explanation:
Given
The attached function
Required
The range of the function
A function is represented by matching an arrow from the domain to the range.
This implies that, the arrow comes from the domain to the range
From the attached function, the arrow points to 4,7 and 9
Hence, the range is:
[tex]Range = \{4,7,9\}[/tex]
What is the missing number in the synthetic division problem below?
A. 9
B. 8
C. -7
D. 2
The Unit Circle
In a unit circle, the sine of the angle is represented by the vertical leg of the triangle. What is represented by the horizontal leg of the triangle?
a. cosecant of the angle
b. tangent of the angle
c. cosine of the angle
d. cotangent of the angle
Please select the best answer from the choices provided
Answer:
c. cosine of the angle
Step-by-step explanation:
Cos = adj/hyp
in unit circle
cos = x/1
cos = x
x is the horizontal leg
Answer:
C. Cosine of the angle
Step-by-step explanation:
I calculated it logically
It takes 3 pieces of wood to make a bird house. Marina has 21 pleces of wood. She uses this problem to find out how many bird houses she can
make.
21 +3
Which other problem could Marina use to find the number of bird houses she can make
She can find out answer by dividing 21÷3 and the answer is 7
She can make 7 bird house
7 is the answer of the question
21÷ 3
=7
Step-by-step explanation:
hope it is helpful to you
Sara was thinking of a number. Sara divides by 2, then adds 10 to get an answer of 6. What was the original number?
Answer:
The original number was -8
Step-by-step explanation:
You can find this out because -8 divided by 2 is -4 and then plus 10 would become 6
Answer:
-8
Step-by-step explanation:
We know that Sara has a number by which she divides by 2, added 10 and ended up with 6. We are then asked to find the original number she had in mind.
To solve, we need to go backwards, starting with the original number, and applying all the steps she did but with the opposite operation.
6 is her ended number, we know before she added 10, so subtract 10 from 6:
[tex]6-10=-4[/tex]
Now we know that she divided by 2, therefore multiply -4 by 2:
[tex]-4*2=-8[/tex]
-8 was Sara's first number.
The concession stand is selling hot dogs and hamburgers during a game. At
halftime, they sold a total of 74 hot dogs and hamburgers and brought in $100.
How many of each item did they sell if hamburgers sold for $1.50 and hot dogs
sold for $1.25?
Answer:
44 hotdogs
30 hamburgers
Step-by-step explanation:
b r a i n and p a p e r
jane loves animals. She has an equal number of beetles, birds and spiders as pets. Apart from human legs, there is a total of 270 legs in the house. How many spiders does Jane have if a spider has 8 legs and a beetle has 6 legs?
Answer:
16.875 spiders
Step-by-step explanation:
Given
Let
[tex]B = Beetles[/tex]
[tex]C = Birds[/tex]
[tex]S = Spiders[/tex]
So, we have:
[tex]B = C = S[/tex] --- equal amounts
[tex]6B + 2C + 8S = 270[/tex] --- the legs
Required
The number of spider
Since she has an equal amount of B, C and S;
The expression can be written as:
[tex]6B + 2C + 8S = 270[/tex]
[tex]6S + 2S + 8S = 270[/tex]
[tex]16S = 270[/tex]
Solve for S
[tex]S = \frac{270}{16}[/tex]
[tex]S = 16.875[/tex]
The result of the solution does not represent real life situation because it it is not possible to have a fraction number of spider
Find the lengths of each segment
Answer:
KL = 5.3
Step-by-step explanation:
Base on proportionality theorem, we have the following equation showing the relationship between the segments:
4/6 = KL/8
Cross multiply
6*KL = 8*4
6*KL = 32
DIvide both sides by 6
KL = 32/6
KL ≈ 5.3
Please help! I really need this other wise I’m going to fail! I can’t figure it out!
What is the perimeter of this
polygon?
А 3 cm
9 cm
С
B 3 cm
Answer:
30cm
Step-by-step explanation:
3+3+3+3+9+9=30
If the tangent is drawn from the outside of the circle. Then the length of the tangents will be same. Then the perimeter is 30 cm.
What is the perimeter of a triangle?Let the triangle be ABC. Then the perimeter of the triangle will be
Perimeter = AB + BC + CA
We know that if the tangent is drawn from the outside of the circle. Then the length of the tangents will be same.
Then the completed diagram is given below.
P = 3 + 3 + 3 + 3 + 9 + 9
P = 30 cm
More about the perimeter of a triangle link is given below.
https://brainly.com/question/23935199
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help geometry please
Answer:
12
It would be easier to explain if the triangle and the parallelogram have their points named.
Some first hints: The area of a tri
angle equals to 1/2 of height times length of corresponding base side. The area of a parallelogram equals to height times the corresponding base side. in addition, in a parallelogram, two opposing side have the exact same length.
Since then, we can write the area of the triangle as 1/2× h× 18= 9×h
we can write the area of the parallelogram as : 18×h
Since then, we can write the area of the compound as 9×h + 18×h= 27h.
Voila. I gues you can figure out the rest. Please ask more if you have trouble with this
Answer: 12
Step-by-step explanation:
(Algebra 2) help me please:( no links I will report please help me out )!!!
Answer:
The answer should be $57000(1.025)²⁰ = $93,401
Step-by-step explanation:
539,904 nearest 10 for my homwork
Answer:
539,900 if thats what you're looking for.
Step-by-step explanation:
Answer:
539900
Step-by-step explanation:
if f(x)=4/3x-9 what is f^-1(-3)
9514 1404 393
Answer:
4.5
Step-by-step explanation:
The value of x that makes f(x) = -3 is ...
4/3x -9 = -3
4/3x = 6 . . . . . . add 9
x = 6(3/4) = 18/4 = 9/2 = 4.5 . . . . multiply by 3/4
f^-1(-3) = 4.5
Does this graph below represent a function? (Yes or no)
Answer:yes
Step-by-step explanation: it represents a function
PLEASE HELP ASAP NO LINKS OR WILL BE REPORTED! 1. In the figure below, a line intersects two parallel lines. Fill in the missing angles. a /b d e 42° C f f g (a)
Answer:
<a=138°
<b=42°
<c=138°
<d=138°
<e=42°
<f=42°
Step-by-step explanation:
<a is supplementary with the 42° angle:
<a=180°-42°=138°
<b and the 42° are vertical angles, so:
<b=42°
<c and <a are also vertical angles so:
<c=<a=138°
<d and <a are corresponding angles, so:
<d=<a=138°
<e and <b are corresponding angles, so:
<e=<b=42°
<f and the 42° angle are corresponding angles, so:
<f=42°
<g and <c are corresponding angles, so:
<g=<c=138°
Three people split the cost of the last two lunch bills. The two bills were $18 and $15. How much did each person contribute?
Group of answer choices
$11
$15
$18
$33
can someone help me pls
Answer:
[tex]x = 55°[/tex]
Step-by-step explanation:
L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.
[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]
I roll a standard six-sided die 6 times in a row. What is the probability that the numbers
alternate between odd and even?
Help ASAP
Answer:
1 / 64
Step-by-step explanation:
The probability of a multi-stage events that are independent is the product of all of them. Probability is basically the desirable outcomes over the total outcomes. When rolling a die, there are 6 different numbers you can roll, meaning six different outcomes. There are 3 outcomes where you can roll an even number: 2, 4, and 6. And it's the same with odd numbers: 1, 3, and 5. So the probability of rolling an even number is 3 / 6 or 1 / 2 and the probability of an odd number is the same, 1 / 2. Now, since the probabilities are the same at each stage, we can multiply 1 / 2 to itself 6 times or (1/2)^6 which evaluates to 1 / 64.
what is the sum of the first 10 terms of the geometric sequence 1 , -2, 4, -8, 16, 32...
Answer:
S10= -341
Step-by-step explanation:
1,-2,4,-8,16,.......
Sum of first 10 terms of geometric sequence
Sn=a(r^n-1)/r-1
where, a= first term
n= number of terms
r=common ratio
common ratio (r)= second term/first term
r=-2/1
r=-2
a=first term
a=1
n= number of terms
n=10
S10=1[(-2)^10-1]/-2-1
S10=(1024-1)/-3
S10=1023/-3
S10= -341
therefore, the sum of the first 10 terms is -342
Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2
9514 1404 393
Answer:
C. 6 > 3
Step-by-step explanation:
It is true that 6 is greater than 3.
__
All negative numbers are less than any positive numbers.
We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.
what is 2 divided by 9/10
Answer:
20/9
Step-by-step explanation:
2/(9/10)=(2/1)(10/9)=20/9
A six-sided die is rolled two times. What is the theoretical fractional probability that the first number is even and the second number is odd?
Answer:
The theoretical probability that the first number is even and the second number is odd is [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
Since each dice has six sides, and there are two die, the total amount of different outcomes are [tex]6^2[/tex] or 36. The probability of getting an even number on the first roll is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], and the probability of getting an odd number on the second roll is also [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], so the probability of getting an even number on the first roll and an odd number on the second roll is [tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex].
The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.
What is the standard deviation of the distribution?
A) 1.16
B) 1.08
C) 1.41
D) 2.98
The standard deviation of the distribution is 1.08.
Option B is the correct answer.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.
The expected value of X is:
E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)
= 1.6 + 0.96 + 0.34 + 0.08 + 0
= 2.98
Next, we need to calculate the variance of X:
Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)
+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)
= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)
= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212
= 1.082
The standard deviation of X is the square root of the variance:
So,
SD(X) = √(Var(X))
= √(1.082)
= 1.04 (approximately)
Thus,
The standard deviation of the distribution is 1.08.
Learn more about standard deviation here:
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Answers ASAP please I really need it
Answer:
x = 50
Step-by-step explanation:
Answer:
x = 50
Step-by-step explanation:
180 - 75 = 105
2x + 5 = 105
now I subtracted both sides by 5
2x = 100
divide both sides by 2:
x = 100/2
x = 50
Have a nice day!
if you flipped a coin 20 times, in percentage how many times do you expect the coin to land on heads, an how many times on tails?
Answer:
50% head and 50% tails.
Step-by-step explanation:
A coin only has two sides to flip on and is equally probably flip heads or tails. If you flipped the coin 20 times you could expect to flip 10 heads and 10 tails.
You come across a box of perfume what should you do Amazon
the table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years till the trees were planted,
what is the rate of change of the average height and feet of the trees on the farm with respect to the number of years since the trees were planted?
Step-by-step explanation:
the equation :
Hn = 7n + 3
where :
Hn : the height of trees at year to-n
n : year to-n (n = 1,2,3,...)
so, the rate of change : increasing 7 feet per year.
The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope could be positive or negative.
The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.
The rate of change also refers to the slope.
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁).
Taking two points (1,10) and (3,24)
Slope associated with these;
(24-10)/(3-1) = 7
Hence "The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7".
To learn more about slopes,
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Solve for x
A. 82
B. 98
C. 196
D. 164
Answer:
i think thAt it is c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
1. it is a linear equation 98 plus something is going to equal 180 so you would put subtract 98 from 180 to get 82
2. since the other angle is inscribed you would double you answer to get 164
Please answer fast and correctly :)
Answer:
Graph A is correct
Step-by-step explanation:
The line intersects 45 x and 3 y
Answer:
Graph A! :-)
Step-by-step explanation:
At Sally's Hair Salon there are three hair stylists. 22% of the haircuts are done by Chris, 30% are done by Karine, and 48% are done by Amy. Chris finds that when he does haircuts, 5% of the customers are not satisfied. Karine finds that when she does haircuts, 3% of the customers are not satisfied. Amy finds that when she does haircuts, 7% of the customers are not satisfied. Suppose that a customer leaving the salon is selected at random. If the customer is not satisfied, what is the probability that their hair was done by Chris
Answer:
0.2052 = 20.52% probability that their hair was done by Chris
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Customer not satisfied
Event B: Hair done by Chris.
Probability of a customer not being satisfied.
5% of 22%(Chris)
3% of 30%(Karine)
7% of 48%(Amy)
This means that:
[tex]P(A) = 0.05*0.22 + 0.03*0.3 + 0.07*0.48 = 0.0536[/tex]
Probaility of a customer not being satisfied and hair done by Chris:
5% of 22%. So
[tex]P(A \cap B) = 0.05*0.22 = 0.011[/tex]
What is the probability that their hair was done by Chris?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.011}{0.0536} = 0.2052[/tex]
0.2052 = 20.52% probability that their hair was done by Chris