Answer:
(f•g)(10)= 606
Step-by-step explanation:
We have been given that
[tex]f(x)=x^2+1\\\\g(x)=x-4[/tex]
We have to find the value of (f•g)(10)
We can write (f•g)(10) = f(10)•g(10)
Let us find the value of the functions at x = 10
[tex]f(10)=10^2+1\\\\f(10)=100+1\\\\f(10)=101[/tex]
And the value of g(10) is
[tex]g(10)=10-4\\\\g(10)=6[/tex]
Hence,
(f•g)(10)
= f(10)•g(10)
= 101×6
= 606
Therefore, (f•g)(10)= 606
What is the differecne of the following polynomials? (6x^2 - 3x^3) - (2x^3 + 4x^2 -5)
[tex](6x^2 - 3x^3) - (2x^3 + 4x^2 -5)\\\\=6x^2-3x^3-2x^3-4x^2-(-5)\\\\=6x^2-3x^3-2x^3-4x^2+5\qquad\text{combine like terms}\\\\=(-3x^3-2x^3)+(6x^2-4x^2)+5\\\\=\boxed{-5x^3+2x^2+5}[/tex]
If x + 3 is a factor x^2 + kx + 2k, where k is a constant, what is the value of k?
(2a 2 + a + 3) (a - 1) Please help
I WILL GIVE BRAINLIEST!!! I BEG SOMEBODY TO HELP ME PLS!!!
What is the slope of this line?
A) -1/4
B) 1/4
C) -4
D) 4
What ray is a common side of ∠EOB and ∠BOA?
What is the multiplicative rate of change for the exponential function graphed to the left?
As, the values on the x-axis changes, the value of y-axis gets tripled,the rate of change of values of response with respect to the domain is 3. Hence, the multiplicative rate of change of the exponential function is 3.
Given information:
The graph of an exponential function is having the different rate of change of function with respect to the values of x and y.
The values given for the function are ,
[tex]f(-2)=2/9\\f(-1)=2/3\\f(0)=2\\f(1)=6\\f(2)=6\\f(3)=54\\[/tex]
As, the given function is having a growth on every point which is multiplicative, hence the multiplicative rate of change for the exponential function can be calculated.
According to the points given, the rate of change of values of response with respect to the domain is 3,
Hence, the multiplicative rate of change of the exponential function is 3.
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How the bloody hell do I answer these? Please explain how you did it.
1. In the xy plane, line m passes through the points (a,0) and (0,2a), where a>1. What is the slope of line m?
a)-2 b)-1/2 c)2 d)-2a e)2a
2. First, 3 is subtracted from x and the square root of the difference is taken. Then, 5 is added to the result, giving a final result of 9. What is the value of x?
a)3 b)4 c)5 d)16 e)19
3. If S is the set of positive that are multiples of 7, and if T is the set of positive integers that are multiples of 13, how many integers are in the intersection of S and T?
a)none b)one c)seven d)thirteen e)more than thirteen
4. A florist buys roses at $0.50 each and sells them for $1.00 each. If there are no other expenses, how many roses must be sold in order to make a profit of $3.00?
a)100 b)150 c)200 d)300 e)600
Trapezoid BIRD is dilated to form trapezoid FROG. What corresponding angle is congruent to angle BIR
Answer: ∠FRO
Step-by-step explanation:
A dilation is a transformation that forms an image that is the exactly same shape as the original, but of a different size.Given : Trapezoid BIRD is dilated to form trapezoid FROG.
As dilation creates similar image as the original .
Thus by the property of similarity ,the corresponding angles are congruent.
Therefore, angle congruent to ∠BIR must be ∠FRO [first three letters of the name of the shapes]
Which of the following numbers is irrational?
negative 15 over 4, negative 7 over 9, square root of 4, π
negative 15 over 4
negative 7 over 9
square root of 4
π,
The rational numbers are -15/4, -7/9, and √4, the irrational number is π.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
It is given that:
It is given that the numbers are:
-15/4
-7/9
√4
π
As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The rational number can be written in the form of p/q
Where q cannot be zero.
-15/4 - It is a rational number.
-7/9 - It is a rational number.
√4 = 2 - It is a rational number.
π - Pi is an irrational number.
Thus, the rational numbers are -15/4, -7/9, and √4, the irrational number is π.
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What is the trigonometric ratio for sin z ?
enter your answer, as a simplified fraction, in the boxes.
$$
?
The trigonometric ratio for sin z is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.
The trigonometric ratio for sin z is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle. In other words, if we have a right triangle with angle z, sin z is equal to the length of the side opposite to angle z divided by the length of the hypotenuse.
Mathematically, sin z = opposite/hypotenuse.
For example, if we have a right triangle with angle z, and the length of the opposite side is 3 units and the length of the hypotenuse is 5 units, then sin z = 3/5.
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If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=4/5 and cos b=5/13
Answer:
cos(a+b)≈0.507
Step-by-step explanation:
Hi there, in Quadrant I both sine and cosine functions are positive.
This cos (a+b) being a Classical Trigonometrical Identity, the product of the sum between two cosines equals the product of two cosines minus the product of two sines.
But we need to find the value of a and b, so that we can go on. Calculate the arccosine and arcsine function respectively is mandatory
[tex]cos(a+b)=cosa*cosb-sena*senb\\ cos(a+b)=cosa*\frac{5}{13} -\frac{4}{5}*senb\\ a=arcsin(\frac{5}{13})\\a=22.61\\b=arccos(\frac{4}{5})\\b=36.86\\ 5/13=0.38\\4/5=0.8\\cos(a+b)=cos(22.61)*cos(36.86) -sen(22.61)*sen(36.86)\\ cos (a+b)=0.507[/tex]
The sector of a circle with a diameter of 20 inches has a central angle measure of 36°. What is the area of the sector?
40π in²
10π in²
2π in²
π in²
plz explain what you did to get the answer so that i vcan understand and do it alone in the future
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The table below shows the number of U.S. residents with health insurance in 2015, in thousands, categorized by age group and annual income. According to these results, if a U.S. resident with health insurance who was 35-64 in 2015 is selected at random, what is the approximate probability that this resident had an income between $50,000 and $79,999?
A. 0.20
B. 0.25
C. 0.40
D. 0.80
To determine the probability that a U.S. resident aged 35-64 with health insurance in 2015 had an income between $50,000 and $79,999.
Explanation:To calculate the probability that a randomly selected U.S. resident aged 35-64 with health insurance in 2015 had an income between $50,000 and $79,999, we would need specific data from the table mentioned in the question.
The process to find the probability would involve dividing the number of residents aged 35-64 with incomes between $50,000 and $79,999 by the total number of residents aged 35-64 with health insurance. The result would then be converted into a percentage to arrive at the probability.
Final answer:
To find the approximate probability of a U.S. resident with health insurance who was 35-64 in 2015 having an income between $50,000 and $79,999, we divide the number of residents in that category by the total number of residents with health insurance. The approximate probability is 0.1167.
Explanation:
To calculate the approximate probability that a U.S. resident with health insurance who was 35-64 had an income between $50,000 and $79,999 in 2015, we need to find the number of U.S. residents with health insurance in that age group and income category, and divide it by the total number of U.S. residents with health insurance.
From the given table, we can see that there were 32,500 U.S. residents with health insurance who were 35-64 years old and had an income between $50,000 and $79,999.
The total number of U.S. residents with health insurance in 2015, across all age groups, is 278,500.
So, the approximate probability is:
Probability = Number of U.S. residents with health insurance who were 35-64 and had an income between $50,000 and $79,999 / Total number of U.S. residents with health insurance
Approximate Probability = 32,500 / 278,500 = 0.1167
Therefore, the approximate probability that a U.S. resident with health insurance who was 35-64 in 2015 had an income between $50,000 and $79,999 is 0.1167.
Triangle ABC has angle measures as shown.
(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.
Answer:
PLEASE ANSWER AS SOON AS POSSIBLE! 25 POINTS!
The cost of 16 notebooks at store J is $24. The notebooks at store J are all the same price. The cost of notebooks at store J are all the same price. The cost of store K is shown on the graph below.
Which store has the least expensive cost per notebook and how much?
How to find the intersection of a linear and exponential function?
The graph attached shows the point of intersection of a linear and exponential function.
What is a function? What is a linear function? What is an exponential function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.A linear function is given by the function → y = ax + b.An exponential function is given by the function → y = eˣGiven is a linear function and a exponential function.
We can write the equations as -
y = ax + b
y = eˣ
For the points of intersection -
ax + b = eˣ
Refer to the graph attached. It shows the point of intersection of a linear and exponential function.
Therefore, the graph attached shows the point of intersection of a linear and exponential function.
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Grace invests $6600 in a money market account at a rate of 4% for 5 months. How much money will she receive in interest if the interest is calculated using the simple interest formula? Round your answer to the nearest penny if necessary. Use the formula I = Prt Hint: 4% must be written in decimal form and time must be expressed in years.
From a cruising depth of 75 m below sea lever (BSL) the Nautilus descended to 105 m BSL and then rose to 80 m BSL. What is the total vertical distance the Nuatilus traveled?
Another Question -
A red kangaroo jumps along 40 km/h. At this rate how long would it take to jump 2 km in minutes?,
Final answer:
The Nautilus traveled a total vertical distance of 55 meters. A red kangaroo traveling at a speed of 40 km/h would take approximately 3 minutes to jump 2 km.
Explanation:
Total Vertical Distance Traveled by the Nautilus
To calculate the total vertical distance the Nautilus traveled, we need to add the distance it descended and the distance it ascended. The Nautilus descended from 75 m BSL to 105 m BSL, which is a distance of 105 m - 75 m = 30 m. Then it ascended from 105 m BSL to 80 m BSL, a distance of 105 m - 80 m = 25 m. So the total vertical distance traveled is 30 m + 25 m = 55 m.
Time for a Red Kangaroo to Jump 2 km
The speed of the kangaroo is 40 km/h. To find the time to jump 2 km, we first convert the speed to km/min: 40 km/h ÷ 60 min/h = 0.6667 km/min. Now, we divide the distance by the speed: 2 km ÷ 0.6667 km/min = 3 min. Thus, it will take the kangaroo approximately 3 minutes to jump 2 km.
What is measure of angle C? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
A number cube is rolled 450 times. The number 3 comes up 67 times. What is the theoretical probability of rolling a three,
You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.) a. Brand G will end up costing $159.48 less than Brand F. b. Brand G will end up costing $50.00 less than Brand F. c. Brand F will end up costing $134.28 less than Brand G. d. Brand F will end up costing $91.08 less than Brand G.
Answer:
hes saysing its "a" the first brand g
Step-by-step explanation:
Brand G will end up costing $159.48 less than Brand F.
The correct option is a.
To determine which grill is cheaper over a fifteen-year period, we need to compare the total cost of buying and paying off each grill.
Brand F: The grill costs $650, and we will pay it off in five years of monthly payments, which is 60 payments.
The monthly payment required to pay off a $650 loan with a 13.01% annual interest rate, compounded monthly, over five years is:
PMT = (r x P) / (1 - (1 + r)⁻ⁿ
= (0.1301/12 x 650) / (1 - (1 + 0.1301/12)⁻⁶⁰
= $14.79
Therefore, the total cost of a Brand F grill, including interest, is:
Total Cost = 650 + 60(14.79) = $1537.4
Brand G: The grill costs $200, but we will need to buy three of them over fifteen years.
Each grill will be paid off in three years of monthly payments, which is 36 payments.
The monthly payment required to pay off a $200 loan with a 13.01% annual interest rate, compounded monthly, over three years is:
PMT = (0.1301/12 x 200) / (1 - (1 + 0.1301/12)⁻³⁶
= $6.74
Therefore, the total cost of three Brand G grills, including interest, is:
Total Cost = 3 * (200 + 36 * 6.74) = $1327.92
The difference in cost is: $159.48.
Therefore, over a fifteen-year period, buying three Brand G grills instead of one Brand F grill will save you $159.48.
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If the perimeter of a rectangle is expressed by the formula p 2l 2w then w can be expressed as
Find indicated values: m AB = m ABC = m BAC = m ACB =
Answer:
A. [tex]\text{m AB}=49^o[/tex].
B. [tex]\text{m ABC}=253^o[/tex].
C. [tex]\text{m BAC}=156^0[/tex].
D. [tex]\text{m ACB}=311^o[/tex]
Step-by-step explanation:
We have been given a circle and we are asked to find the arc measures of given circle.
Since we know that the measure of an arc that subtends to central angle equals the measure of central angle.
A. We can see from our circle that arc AB subtends to central angle AOB.
[tex]m\angle AOB=49^o[/tex]
[tex]\text{m AB}=49^o[/tex]
Therefore, measure of arc AB will be also 49 degrees.
B. First of all we will have to find the measure of arc BC.
Since we know that the sum of all central angles in a circle is 360°, so we can find the measure of arc BC by subtracting measure of arcs AB and AC from 360 degrees.
[tex]\text{m BC}=360^o-(\text{m AB+m AC})[/tex]
[tex]\text{m BC}=360^o-(49^o+107^o)[/tex]
[tex]\text{m BC}=360^o-156^o[/tex]
[tex]\text{m BC}=204^o[/tex]
We can see that ABC equals arc AB plus arc BC.
[tex]\text{m ABC}=\text{m AB}+\text{m BC}[/tex]
Upon substituting measures of arc AB and BC we will get,
[tex]\text{m ABC}=49^o+204^o[/tex]
[tex]\text{m ABC}=253^o[/tex]
Therefore, measure of arc ABC is 253 degrees.
C. We can see that arc BAC equals arc BA plus arc AC.
[tex]\text{m BAC}=\text{m BA}+\text{m AC}[/tex]
Upon substituting measure of arc BA and AC we will get,
[tex]\text{m BAC}=49^o+107^0[/tex]
[tex]\text{m BAC}=156^0[/tex]
Therefore, measure of arc BAC is 156 degrees.
D. We can see that arc ACB equals arc AC plus arc CB.
[tex]\text{m ACB}=\text{m AC}+\text{m CB}[/tex]
Upon substituting measure of arc AC and CB we will get,
[tex]\text{m ACB}=107^o+204^o[/tex]
[tex]\text{m ACB}=311^o[/tex]
Therefore, the measure of arc ACB is 311 degrees.
Suppose the equation of the axis of symmetry for a quadratic function is x = -1 and one of the x-intercepts is 7. What is the other x-intercept?
What is the incorrect thing to do if you cause damage to an unattended vehicle?
Make every effort to find the owner of the vehicle
Contact your insurance company
Leave a note for the owner with your name, address, and vehicle plate number
Leave the scene immediately without notifying anyone
In the event of damaging an unattended vehicle, the incorrect thing to do is to leave the scene immediately without notifying anyone or attempting to find the owner. Correct actions include trying to find the owner, leaving a note with your contact details, and notifying your insurance.
Explanation:If you damage an unattended vehicle, the incorrect action to take is to leave the scene immediately without notifying anyone. Legally and ethically, you should make every effort to find the owner of the vehicle. If the owner cannot be found, it's good practice to leave a note with your name, contact information, and relevant details about the incident. Notifying your insurance company is also an important part of this process.
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Convert 11 ounces into pounds. Round your answer to the nearest tenth.
Hint: There are 16 ounces in one pound.
A. 176 pounds
B. 0.7 pounds
C. 1.5 pounds
Math~
To convert 11 ounces to pounds, divide 11 by 16. The result is 0.6875 pounds, which rounds up to 0.7 pounds.
Explanation:To convert 11 ounces to pounds, you would divide the number of ounces by the number of ounces in one pound, which is 16.
Since there are 16 ounces in one pound, we can make this conversion by dividing the number of ounces by 16.
11 ounces / 16 ounces/pound = 0.6875 pounds
Rounded to the nearest tenth, this is approximately 0.7 pounds.
Therefore, the correct answer is B. 0.7 pounds.
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There are 480 jellybeans in an 8-ounce jar. How many jellybeans are there per ounce in the jar?
Answer:
the answer is 60
Step-by-step explanation:
Suppose x is any positive number.
Circle 1: center (−7, 4) and radius 8x
Circle 2: center (−7, 4) and radius 2x
Why is circle 1 similar to circle 2?
A: Circle 1 and circle 2 have the same diameter.
B: Circle 1 is a dilation of circle 2 with a scale factor of 4.
C: Circle 1 is congruent to circle 2.
D: Circle 1 is a dilation of circle 2 with a scale factor of 0.25.
Answer:
Option B: Circle [tex]1[/tex] is a dilation of circle [tex]2[/tex] with a scale factor of [tex]4[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor
All circles are similar and the scale factor is equal to the ratio of its radius or the ratio of its diameters or the ratio of its circumferences
Let
z------> the scale factor
A----> the radius of circle 1
B-----> the radius of circle 2
so
[tex]z=\frac{A}{B}[/tex]
we have
[tex]A=8x\ units[/tex]
[tex]B=2x\ units[/tex]
[tex]z=\frac{8x}{2x}=4[/tex]
The dilation is an enlargement because the scale factor is greater than [tex]1[/tex]
Please explain how you got to the answer will give brainliest thanks!