To be a relation of a function for every value of x there must be a single value of y thus the given relation is not a function.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given table,
At x = 9
y = 9 and y = 3
Since at a single value of x there exist two values of y thus it will not be a function.
Hence "The provided relation is not a function since there must only be one value of y for a relationship to be considered a function.".
For more about the function,
brainly.com/question/23712366
#SPJ1
Lisa earns 4.75% on her sales.
She averages $50,000 in sales monthly.
Additionally, she earns $500 biweekly.
What is her annual pay (including commissions)?
please help me with this one
Answer:
50.24
Step-by-step explanation:
a=(pi)r²
A =(pi)4²
A = 50.27
but I used the actual pi if you use 3.14 I think you'll get 50.24 but that's the closest answer.
Hope you get it right
according to the book of odds, the probability that a randomly selected u.s. adult usually eats breakfast is 0.61.1a) explain what probability 0.61 means in this setting.
The probability of finding such people will get closer to 0.61 as the sample gets bigger.
a) This means that if you were to take a large sample of US adults and inquire them about having breakfast, about 61%(i.e. 0.61) will say that they usually have breakfast.
b) It is, for sure, expected that if we take a sample of 100, around 61% of these americans will say that they usually eat breakfast. But if the number will be 61 exactly is not a certainty and it will vary from sample to sample.
The probability of finding such people will get closer to 0.61 as the sample gets bigger.
Explanation has been provided in the answers above due to their descriptive nature.
learn more about of probability here
https://brainly.com/question/13841729
#SPJ4
PLS HELP ME!!! How much pure alcohol must a nurse add to 10 cm3 of a 60% alcohol solution to strengthen it to a 90% solution?
Answer:
30cm3
Step-by-step explanation:
she already has: 60%:10
pure ones: 100%:x
need:90%:10+x
so u can get this eq:
6+x=9+0.9
0.1x=3
x=30
A cat is stuck in the tree and the fire department needs a ladder to rescue the cat. The
fire truck available has a 75-foot ladder, which starts 5 feet above ground.
Unfortunately, the fire truck must park 60 feet away from the tree. If the cat is 58 feet
up the tree, does the cat get rescued? If not, what ladder length is need to allow the cat
to be rescued?
O No because an 80-foot ladder is needed but the truck has only a 75-foot ladder.
No because an 81-foot ladder is needed but the truck has only a 75-foot ladder.
Yes because only a 58-foot ladder is needed and the truck has a 75-foot ladder.
Yes because only a 60-foot ladder is needed and the truck has a 75-foot ladder.
Answer: I would say it's the last one.
Step-by-step explanation:
The cat will not be rescued because an 81-foot ladder is needed but the truck has only a 75-foot ladder.
The question forms a right angle triangle. where the height of the cat on the tree is the opposite side of the triangle. The distance between the cat and the tree is the adjacent side of the triangle .
Recall the 75 foot ladder can only start 5 foot above the ground .The diagram is represented below;
The ladder height should be the hypotenuse of the triangle.
using Pythagoras's theorem,
c² = a² + b²
c² = 53² + 60²
c² = 2809 + 3600
c² = 6409
c = √6409
c = 80.0562302385
c ≈ 80.06 ft
The cat will not get rescued with the 75 foot ladder length. The ladder length required to rescue the cat is approximately 81 ft ladder.
read more: https://brainly.com/question/23013516?referrer=searchResults
GUYS HELP ME OUT WITH THEESE THREE PROBLEMS ASAP 100 points
Answer:
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
IS THERE ANYONE WHO HASNT GOT ANYTHING TO DO AT THE MOMENT BECAUSE I NEED HELP!!! :(
Answer:
me
Step-by-step explanation:
Answer:
I can try to help whats ur question?
hassan built a fence around a square yard. it took 48 m 2 48 m 2 48, start text, space, m, end text, squared of lumber to build the fence. the fence is 1.5 1.51, point, 5 meters tall. what is the area of the yard inside the fence?
The fence surrounds a square yard with an area of 64 square meters. We first have to find length of fence and then multiply it by itself.
Given that it took 48 square meters of lumber to build the fence, and the fence is 1.5 meters tall, we can calculate the area of the yard inside the fence. To do this, we need to determine the total length of the fence. If we assume that the fence is built around a square yard, then the length of each side of the yard will be equal to the total length of the fence divided by 4.
Let's call the length of each side of the yard x. Then, the area of the yard inside the fence is x * x, or x^2. The total length of the fence is 4 * x. Since the fence is 1.5 meters tall, the total area of the lumber used to build the fence is 4 * x * 1.5, or 6x. This is equal to 48 square meters, so we have the equation:
6x = 48.
Solving for x,
x = 8.
Therefore, each side of the yard is 8 meters long.
Area of the yard inside the fence = 8 * 8 = 64 square meters.
This means that the fence surrounds a square yard with an area of 64 square meters.
Learn more about area here:
https://brainly.com/question/12509806
#SPJ4
could you help me with 11% and 9% thank you Assuming that the current interest rate is 10 percent, compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000. What happens when the interest rate goes to 11 percent? What happens when the interest rate goes to 9 percent?
As the interest rate increases from 10 percent to 11 percent, the present value of the bond decreases from $1,074.47 to $1,058.31. Conversely, when the interest rate decreases to 9 percent, the present value increases to $1,091.19. This is because the discount rate used to calculate the present value is inversely related to the interest rate, meaning that as the interest rate increases, the present value decreases, and vice versa.
To compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000, we need to discount the future cash flows (coupon payments and face value) by the appropriate interest rate.
Step 1: Calculate the present value of each coupon payment.
Since the bond has a 10 percent coupon rate, it pays $100 (10% of $1,000) annually. To calculate the present value of each coupon payment, we need to discount it by the interest rate.
Using the formula: PV = C / (1+r)^n
Where PV is the present value,
C is the cash flow,
r is the interest rate, and
n is the number of periods.
At an interest rate of 10 percent, the present value of each coupon payment is:
PV1 = $100 / (1+0.10)^1 = $90.91
Step 2: Calculate the present value of the face value.
The face value of the bond is $1,000, which will be received at the end of the fifth year. We need to discount it to its present value using the interest rate.
At an interest rate of 10 percent, the present value of the face value is:
PV2 = $1,000 / (1+0.10)^5 = $620.92
Step 3: Calculate the total present value.
To find the present value of the bond, we need to sum up the present values of each coupon payment and the present value of the face value.
Total present value at an interest rate of 10 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,074.47
When the interest rate goes to 11 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 11 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,058.31
When the interest rate goes to 9 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 9 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,091.19
Learn more about interest rate:
https://brainly.com/question/29451175
#SPJ11
please help me please
Answer:
It’s 16
Step-by-step explanation:
I just know, I used to do this
Which figure represents an undefined term?
Answer: 4th figure , where XY is a line.
Step-by-step explanation:
There are 3 undefined terms : 1) point 2) line 3 ) planeFrom up to down, The first figure is representing ray( end point at X ) which is an defined term and it is defined as "A ray is a line with one end point."
The second figure is representing a line segment with 2 end-points at X and Y and it is and defined term and it is defined as "A line segment is a line with 2 end points."
The third figure is a joint of two rays and they are making an angle which is again an defined term.
The last figure is representing a line which has no endpoints and is an undefined term.
Hence, the last figure is representing an undefined term "line".
The base of the rectangle is 7 inches, and the height is 6 inches. The area of one triangle is square inches.
Answer:
21
Step-by-step explanation:
area of triangle = 1/2 * base * height
assuming the triangle is made by cutting the rectangle into half,
1/2 * 7 * 6 = 21
Answer:
the answer is 21
Step-by-step explanation:
there are 21 cars and 6 trucks if there are 7 cars how many trucks are there
Answer:
there are 6 trucks
Step-by-step explanation:
hope it will help
3²+4x5
how do i solve this equation?
Answer:
29
Step-by-step explanation:
3² + 4 × 5 ← first evaluate the exponent
= 9 + 4 × 5 ← second evaluate the product
= 9 + 20 ← third add the values
= 29
Explain the difference between the associative addition and the commutative addition
Answer:
Associative states you can regroup numbers and you will get the same answer and the commutative property states that you can move numbers around and still have the same answer.
Example:
Commutative a+b=b+a
Associative a+ (b+c) = (a+b) +c= a+b+c
Answer:
what that person said lol.
can any quotient of polynomials be decomposed into at least two partial fractions? if so, explain why, and if not, give an example.
Generally, a quotient of polynomials is decomposed into at least two partial fractions.
Any valid quotient of polynomials may be broken down into its component parts. When the degree of the numerator is lower than the degree of the denominator, a function is considered to be properly rational. Expressing a valid rational function as the sum of smaller fractions with certain denominators is the first step in breaking it down into partial fractions.
This decomposition can be helpful in a variety of mathematical situations, such as when solving equations involving rational functions or integrals. The denominator's factors determine the partial fractions' form. In particular, the rational function may be broken down into partial fractions with denominators matching to those factors if the denominator of the correct rational function can be factored into linear and/or quadratic irreducible components.
Read more about polynomials on:
https://brainly.com/question/4142886
#SPJ4
Big dogs: A veterinarian claims that the mean weight of adult German shepherd dogs is 75 pounds. A test is made ofHo: μ-75 versus Hi : μ > 75, The null hypothesis is rejected. State an appropriate conclusion. There (select) enough evidence to conclude that the mean weight is (select) 75 pounds.
Since the null hypothesis was rejected, we can conclude that there is enough evidence to suggest that the mean weight of adult German shepherd dogs is greater than 75 pounds.
However, we cannot conclusively state that the mean weight is exactly 75 pounds, only that it is likely greater than that value. The alternative hypothesis (Hi: μ > 75) supports this conclusion, indicating that the true mean weight is likely higher than the claimed value of 75 pounds.
It is important to note that further research and analysis may be necessary to determine a more precise estimate of the mean weight of adult German shepherds.
To know more about null hypothesis refer here:
https://brainly.com/question/30821298
#SPJ11
The point ( -3, 15 ) undergoes a translation of 9 units right and 10 units down. What are the coordinates of the new point?
Answer:
The new coordinates would be (6,5)
Step-by-step explanation:
I'm pretty sure o-O
Excision of benign lesions on chest, 0.4 cm, with simple closure.(CPT CODE??)
Excision of
benign lesions
on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.
The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a
surgical
procedure performed to remove a benign lesion, which is a tumor that is not
cancerous
.
The
excision
of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the
lesion
from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.
The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue
rearrangement
or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.
Learn more about
excision
from:
https://brainly.com/question/32280628
#SPJ11
Higher Order Thinking There are 58 red pens and blue pens in a bag. There are more red pens than blue pens. There are at least 36 red pens but no more than 40 red pens. How many of each color could be in a bag?
Answer:
36 red, 22 blue
37 red, 21 blue
38 red, 20 blue
39 red, 19 blue
40 red, 18 blue
Step-by-step explanation:
Total number of pens: 58
More red pens than blue pens.
At least 36 red pens.
No more than 40 red pens.
Possible number of pens:
36 red, 22 blue
37 red, 21 blue
38 red, 20 blue
39 red, 19 blue
40 red, 18 blue
Yan is somewhere between his home and the stadium. To get to the stadium he can walk directly to the stadium, or else he can walk home and then ride his bicycle to the stadium. He rides 7 times as fast as he walks, and both choices require the same amount of time. What is the ratio of Yan's distance from his home to his distance from the stadium
Answer:
3/4
Step-by-step explanation:
The relationship between time, speed, and distance can be used together with the travel time relations to find the desired ratio.
__
setupLet H represent the distance from Yan's location to home. Let S represent the distance to the stadium, and let w represent Yan's walking speed.
The time required for Yan to walk home is ...
time = distance/speed = H/w
The time required for Yan to walk to the stadium is ...
time = S/w
The time required for Yan to ride his bike from home to the stadium is ...
time = (H +S)/(7w) . . . . . his riding speed is 7 times his walking speed.
In order for the travel times to be equal, we must have ...
time to walk home + time to bike to stadium = time to walk to stadium
H/w + (H +S)/(7w) = S/w
__
solutionMultiplying by 7w gives ...
7H +(H +S) = 7S
8H = 6S . . . . . . . . . subtract S
H/S = 6/8 = 3/4 . . . . divide by 8S
The ratio of Yan's distance from home to his distance from the stadium is 3/4.
_____
Additional comment
Another way to think about this is ...
The stadium is farther away than home by a distance that Yan can walk in the same time he can bike the entire distance from home to the stadium. That is, the difference in distances must be 1/7 of the total distance. Now, we have a "sum and difference" problem: S +H = 7, S -H = 1. The solution is S = (7+1)/2 = 4, H = (7-1)/2 = 3. H/S = 3/4.
10. The Harlem Renaissance of the 1920’s could be described as:
a) a period when African Americans gained political leadership
b) a major urban renewal project providing new houses for African Americans
c) a time of increased recognition of African American athletes
d) a rebirth of African American culture as seen through the experiences of musicians and writers
Answer:
Answer is A.
Step-by-step explanation:
I'm pretty sure lmk if I'm wrong.
what are the steps to evaluate an exponential expression
The steps to evaluate an exponential expression include:
Identify the base and the exponent in the expressionReplace the base with the value that you want to use.Use the exponent to determine how many times the base should be multiplied by itself.Perform the multiplication and simplify the expression.How to evaluate an exponential expression ?First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.
Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.
Find out more on exponential expressions at https://brainly.com/question/5085217
#SPJ1
From his eye, which stands 1.55 meters above the ground, tyler measures the angle of elevation to the top of a prominent skyscraper to be 57°. If he is standing at a horizontal distance of 1meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.
The height of the skyscraper is 174.01 m when Tyler is standing at a horizontal distance of 1 m.
What are trigonometric functions?The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
Let the height of the skyscraper = x.
Given that, he is standing at a horizontal distance of 1 meters from the base of the skyscraper, hence the adjacent distance = 1 m.
The angle of elevation is 57 degrees.
Using the trigonometric identities we have:
tan (57) = x / 1
x = 172.46
This is the height of the skyscraper above the eye level.
The total height of the skyscraper is:
172.46 + 1.55 = 174.01 m
Hence, the height of the skyscraper is 174.01 m.
Learn more about trigonometric functions here:
https://brainly.com/question/6904750
#SPJ1
A number, double the number, and 16 are added. The result is 61. What is the original number?
ANSWER
\(15\)EXPLANATION
Let the number be x.
If the number is doubled, it becomes:
\(2x\)The number, double the number and 16 are added and the result is 61.
This implies that:
\(x+2x+16=61\)Solve for x:
\(\begin{gathered} 3x+16=61 \\ 3x=61-16=45 \\ x=\frac{45}{3} \\ x=15 \end{gathered}\)That is the number.
in which situation do the quantities combine to make 0?
Answer:
The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of −3 is 3. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.
What are the coordinates for a triangle that reflects across y=1 with the original points:
A(1,2), B(5,4), C(4,1)?
If Triangle ABC is reflected over the line y = 1. Then the coordinates of B' are (-2, 5)
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
Now, we should reflect point B with respective to line y=1,
let us consider the reflected point coordinates be (h,k).
As B is reflected with respect to line y=1 which is parallel to X-axis, the X-coordinate will be same.
and the midpoint of B and reflected point (h,k) lies on line y=1
Hence h=-2 and (K-3)/2=1
k-3=2
k=5
Hence the reflected point of B i.e B' is (-2, 5)
Learn more about reflected point on https://brainly.com/question/1548989
#SPJ1
Lynn has a collection of lacrosse sticks. After selling 65% of her lacrosse sticks, she has 42 sticks left. How many lacrosse sticks did she start with?
Answer:
Starting number= 120
Step-by-step explanation:
Giving the following information:
After selling 65% of her lacrosse sticks, she has 42 sticks left.
To calculate the starting number of lacrosse sticks, we need to use the following formula:
Starting number= sticks left / proportion of sticks on stock
Starting number= 42 / 0.35
Starting number= 120
HELP! ASAP! PLEASE!
PLEASE EXPLAIN AND TRY NOT TO GET IT WRONG. I'M AT 79 AND IF I GET 80 = PASS.
Answer:
negative
Step-by-step explanation:
a posotive times a negative is a negative
Answer:
positive
Step-by-step explanation:
Based on the number line, we can assume u is -1/2 and v is 2Plug the values of u and v in: \(-\frac{-\frac{1}{2} }{2}\) Because there are two negatives, they can cancel out to become a positive: \(\frac{\frac{1}{2} }{2}\) \(\frac{\frac{1}{2} }{2}\) = 1/2 ÷ 2 = 0.25Because 0.25 is positive, the answer is positiveI hope this helps!
Homework: Section 11.1 Question 7. Complete the square to find the x-intercepts of the function given by the equation listed. f(x)=x² +34x+104 What are the x-intercepts? **** (Simplify your answer. T
Answer:
x² + 34x + 104 = 0
x² + 34x = -104
x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²
x² + 34x + 17² = -104 + 17²
x² + 34x + 289 = 185
(x + 17)² = 185
x + 17 = +√185
x = -17 + √185