The composite function -3 x f(-8) +7 x g(2) has a value of 53
How to evaluate the composite function
From the question, we have the following parameters that can be used in our computation:
f(x) = 2x + 3 and g(x) = x
Calculating f(-8) and g(2), we have
f(-8) = 2 * -8 + 3 and g(2) = 2
Evaluate
f(-8) = -13 and g(2) = 2
Using the above as a guide, we have the following:
-3 x f(-8) +7 x g(2) = -3 * -13 + 7 * 2
Evaluate
-3 x f(-8) +7 x g(2) = 53
Hence, the composite function has a value of 53
Question
Evaluate the expression -3 x f(-8) +7 x g(2) if f(x) = 2x + 3 and g(x) = x
A right rectangular prism has a height of 6.5 cm, a width of 8 cm, and a length of 12. 1 cm.
What is the volume of the prism? Enter the answer in the box.
Answer: la respuesta es 314,6 cm
Step-by-step explanation:
V = 1/2 x longitud x anchura x altu
v = 1/2 x 12,1 cm x 8 cm x 6,5 cm
= 0,5 x 12,1 cm x 8 cm x 6,5 cm
= 314,6 cm
Answer:
[tex]≈
629.2 {cm}^{3} [/tex]
Step-by-step explanation:
[tex]volume = whl \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times 6.5 \times 12.1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ≈
629.2 {cm}^{3}
[/tex]
Sandy spent half of her allowance going to the movies. She washed the family car and earned 8 dollars. What is her weekly allowance if she ended with 13 dollars ?
Answer:
I hope this helps (๑¯◡¯๑)
To find Sandy's allowance, we use the given information to set up an equation. After solving it, we determine that Sandy's weekly allowance is $10.
To determine Sandy's weekly allowance, we need to work backward from the information given. We know that she ended with $13 after spending half of her allowance on movies and earning an additional $8 from washing the car. Let's let the variable A represent Sandy's allowance. According to the problem, Sandy spent A/2 on movies, and when she added the $8 she earned, she had $13.
We can set up the equation as follows:
(A/2) + 8 = 13Now, we solve for A to find the allowance:
A/2 = 13 - 8A/2 = 5A = 5 * 2A = $10So, Sandy's weekly allowance is $10.
m∠LONm, angle, L, O, N is a straight angle.
m
∠
L
O
M
=
4
x
+
3
0
∘
m∠LOM=4x+30
∘
m, angle, L, O, M, equals, 4, x, plus, 30, degrees
m
∠
M
O
N
=
8
x
+
9
0
∘
m∠MON=8x+90
∘
m, angle, M, O, N, equals, 8, x, plus, 90, degrees
Find
m
∠
M
O
N
m∠MONm, angle, M, O, N:
Given:
It is given that LON is a straight line. The measure of ∠LOM = (4x + 30)° and the measure of ∠MON = (8x + 90)°
We need to determine the value of m∠MON
Value of x:
Since, LON is a straight line and the angles LOM and MON are linear pairs of angles.
Since, linear pair of angles add up to 180°
Thus, we have;
[tex]\angle LOM+\angle MON=180^{\circ}[/tex]
Substituting the values, we get;
[tex]4x+30+8x+90=180[/tex]
[tex]12x+120=180[/tex]
[tex]12x=60[/tex]
[tex]x=5[/tex]
Thus, the value of x is 5.
Value of m∠MON:
The measure of ∠MON can be determined by substituting x = 5 in the expression (8x + 90)°, we have;
[tex]m\angle MON=(8(5)+90)^{\circ}[/tex]
[tex]m\angle MON=(40+90)^{\circ}[/tex]
[tex]m\angle MON=130^{\circ}[/tex]
Thus, the measure of ∠MON is 130°
Find the circumference of the circle. Round your answer to the nearest hundredth.
Answer:
25.13
Step-by-step explanation:
C=2πr
C=2 x 3.14 x 4
C= 25.13
The histogram shows how many jogging runs Maria made for each interval of miles. A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 is 7 runs; 7 to 7.99 miles is 4 runs. Which statement about the histogram is true? The majority of Maria’s runs were short, two-mile runs. More than half Maria’s runs were less than five miles each. The majority of Maria’s runs were between five and six miles. At least 15 of Maria’s runs were more than four miles each.
Answer:at least 15 of maria's runs were more then four miles each
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
The future perfect tense is__________.
will happen
is happening
will have happened
should happen
Answer:
it's will have happened
Step-by-step explanation:
I got it right
what 40,100,000 written in scientific notation?
Answer: 4.01 x 107
Step-by-step explanation:
Answer:
4.01x10^7=40100000
You and TWO of your closest friends went to a restaurant for dinner. The bill came to $25.60. You want to split the bill EQUALLY and leave a 20% tip. How much does each person owe? (Show Work.)
A: $5.12
B: $8.53
C: $10.24
Answer:
C
Step-by-step explanation:
Since they left a tip of 20% you find 20% of 25.60, and then add it to 25.60.
You add 5.12 and 25.60 because it was a tip, they gave that much more.
So 20% which is 5.12.
25.60 + 5.12 = 30.72
since there were 3 people in total you just divide
30.72 / 3
= 10.24
What is the rate of change of the linear function? Thanks! :)
Answer:
-3/4 or -0.75
Step-by-step explanation:
You go down 6, over 8.
6/8=3/4
It's a negative slope, so the rate of change is -3/4 or -0.75.
help plzz i'll give you 12 points to answer this.
Answer:
it is answer 3
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
What is the value of x? PLEASE HELP ASAP!
Answer:
A. 28
Step-by-step explanation:
95+57=152
180-152=28 (180 is sum of triangle, in order to find the angle measurement u have to subtract).
Someone help me with the diagram below!!
What is the sum of the measures of the exterior angles of this triangle?
A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has an exterior angle with measure of 112 degrees.
The measure of ∠B is 119°.
What is the exterior angle?An exterior angle is a measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.
All the exterior angles are of the same measure, and therefore, their measure is (360/n)°.
The angle adjacent to 112° will form a straight angle along with 112° adding to 180° which makes ∠C=68°
Then;
a+c+51°= 180°
a+68°+51° = 180°
a+119° = 180°
a = 180° - 119°
a = 61°
Now,
a+b = 180°
61+b = 180
b = 180-61
b = 119°
Learn more about interior and exterior angles here:
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Answer:
119
Step-by-step explanation:
100 on edge
Pam has 7 red marbles, 16 green marbles, 6 yellow marbles, 4 orange marbles, 19 black marbles, and 12 blue marbles in a bag.
What is the range in the number of different colored marbles?
A) 13
B) 15
C) 16
D) 19
Answer:
b 15
Step-by-step explanation:
The range is the difference between the largest and smallest number.
range = biggest − smallest = 19 − 4 = 15
It takes 0.25 hours to complete each test lession. Make a table showing how long 3, 7, 9, and 12 lessions take. Give the constant of proportionality and write an equation that relates the time (t) to the number of sessions (s).
Answer:
1 0.25
2 0.50
3 0.75
5 1.25
7 1.75
9 2.25
11 2.75
12 3.00
t=0.25s
Tyler's grocery receipt shows a charge of $0.25 for every apple he purchased.
Let g represent the amount on the grocery receipt.
Let a represent the number of apples purchased
Which is the independent variable?
the amount of the grocery bill
the cost of an apple
the weight of the apples
the number of apples purchased
The number of apples Tyler purchased is the dependent variable.
What is a variable?The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics.
A representation of an unknown numerical value in an equation or algebraic statement by a symbol, typically a letter. A variable can be defined as a quantity that is changeable and not fixed.
Given:
Tyler’s grocery receipt shows a charge of $0.25 for every apple he purchased.
'g' represent the amount on the grocery receipt.
'a' represent the number of apples purchased.
Therefore, 'a' is the variable here.
So, the amount of apple is independent variable but the purchased values if dependent variable.
Thus, the number of apple Tyler purchased is the dependent variable.
Learn more about variable here:
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Final answer:
The independent variable is the number of apples purchased, as it determines the dependent variable, which is the total amount spent on apples in the grocery bill.
Explanation:
The independent variable in this scenario is the number of apples purchased (represented by a). This is because the independent variable is the one that is changed or controlled in a scientific experiment to test the effects on the dependent variable. In this case, Tyler decides how many apples to buy, and that decision directly affects the total cost, which is the dependent variable (g). The price of an apple, the weight of the apples, and the amount on the grocery bill are all dependent on the number of apples Tyler chooses to purchase. To find the total amount spent on apples, one would multiply the number of apples purchased by the cost per apple.
What is the independent variable?
Answer:
Step-by-step explanation:
Well, I'm not sure if I'm correct, but from what I've learned, and independent variable is first which could be the temperature.
The probability distribution below is
A bar graph has X on the x-axis, from 1 to 6, and P x (x) on the y-axis, from 0 to 0.4 in increments of 0.05. The probability of 1 through 6 is: 0.02, 0.04, 0.15, 0.18, 0.25, 0.36.
Answer: Negatively Skewed
first option
Step-by-step explanation:
just did it on edge
Answer:
A
Step-by-step explanation:
DISCLAIMER: If you do not know the answer to this problem and answer just for the points, this is unappreciated, and I most likely will report you.
The circle graph shows the number of gallons of ice cream ordered for the concert in the park. What percentage of the ice cream ordered was strawberry?
A.) 33 1/3%
B.) 9%
C.) 30%
D.) 40%
PLEASE ANSWER I WILL GIVE BRAINLIEST!!! THIS IS K12 / KEYSTONE QUESTION!
Answer:
30%
Step-by-step explanation:
It has to be less than 33 (1/3 of the pie chart), but not too much, concluding it is 30%, or c
:3 1st
Answer:
C (30%)
Step-by-step explanation:
There are 30 total gallons of ice cream, and 9 strawberry. That's 9/30, which simplifies to 3/10, and then 30%
Hope this helps!!
brainliest?
Combining Like Terms to Solve Equations
-7y+2=16
show how you got the answer
Answer:
y=-2
Step-by-step explanation:
-7y+2=16
-2 -2
-7y=14
_____ <dividing line
-7 -7
y=-2
4) Dan had 199 dollars to spend on 7 books. After
buying them he had 17 dollars. How much did each book cost?
Answer:
The answer is that each book costs 26 dollars
Step-by-step explanation:
First we subtract 199 dollar from 7 =182
Then we divide 182 dollars to the seven book in order to find a unit =182/7=26
To prove this answer multiply 26 dollars than 7 books and see if the outcome is 182.Then subtract 199 from 182 and see if you got 17.
What is the image of (4,-7) after a reflection over the y-axis?
Answer:
It would be a point which is at (-4,-7).
The image of the point (4,-7) after a reflection over the y-axis is (-4,-7). This happens because the y-axis is the axis of symmetry during a reflection over this axis, changing the x-coordinate's sign while keeping the y-coordinate constant.
Explanation:The image of a point after a reflection over the y-axis results in the x-coordinate of the point changing its sign. Therefore, the image of the point (4,-7) after a reflection in the y-axis would be (-4,-7). In other words, you move the point 4 units to the left across the y-axis while the y-coordinate remains unchanged.
This process is derived from the concept that the y-axis is the axis of symmetry in a reflection over the y-axis. As such, points on one side of the axis are mirrored on the other side, changing only the sign of the x-coordinate and keeping the y-coordinate constant.
A helpful way to visualize this is by drawing a coordinate grid and plotting the point (4,-7). By reflecting this point over the y-axis, you will see it lands at the point (-4,-7).
Learn more about Reflection over y-axis here:https://brainly.com/question/30428419
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Which figure represents the image of trapezoid LMNP after a reflection across the x-axis?
A) figure A
B) figure B
C) figure C
D) figure D
Answer:
A
Step-by-step explanation:
Imagine folding the graph in half on the x-axis and tracing the shape on the other side.
Ps. x-axis is horizontal (left-right), y-axis is vertical (up-down)
The figure that represents the image of trapezoid LMNP after a reflection across the x-axis is the figure A
How to determine the figure?From the figure, we can see that the trapezoid LMNP is the second quadrant.
A reflection across the x-axis will place the trazpezoid in the third quadrant
The figure A is in the third quadrant
Hence, the figure that represents the image of trapezoid LMNP after a reflection across the x-axis is the figure A
Read more about reflection at:
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If two lines have different slopes, they cannot have an infinite number of solutions.
A. Always
B. Sometimes
C. Never
Two numbers have a product of 6800 and a difference of 5 what are the two numbers
Answer:
80 and 85
Step-by-step explanation:
Let a and b be those numbers
a*b = 6800
a - b = 5
Use the substitution method.
a = 5 + b
(5 + b)*b = 6800
5b + b*b = 6800
bb + 5b - 6800 = 0
b = -5/2 + root(25 - 4*1*(-6800)) /2
b = -5/2 + 165/2
b = 80
or b = - 85
a - b = 5
a - 80 = 5
a = 85
the lateral area of a cone is 558pi cm^2 the radius is 31 cm. find the slant height to the nearest tenth
The slant height of the cone is 39.7 cm
Explanation:
Given:
Lateral surface area of a cone = 558π cm²
Radius, r = 31 cm
Slant height, l = ?
We know:
[tex]A = \pi r\sqrt{h^2+r^2}[/tex]
Where,
h is the height of the cone
r is the radius
Solving the equation further:
[tex]558\pi = \pi r\sqrt{h^2+r^2} \\\\558 = 31\sqrt{h^2+(31)^2} \\\\(18)^2 = h^2 + 961\\\\324 = h^2+ 961\\\\h = 25.23[/tex]
Lateral height, H = ?
Applying pythagoras theorm,
(H)² = (h)² + (r)²
(H)² = (25.23)² + (31)²
(H)² = 636.55 + 961
(H)² = 1597.55
H = 39.7 cm
Therefore, the slant height of the cone is 39.7 cm
Given that 7^2=12^x, evaluate 12^2x
please help
Answer:
2401
Step-by-step explanation:
David purchased a $ 155,000 home with a 7/23 balloon mortgage. His initial rate was 3.5%. At the end of the initial rate, I decided to refinance the balloon payment with a 30-year mortgage fixed at 5%. What is his new mortgage payment? A. $ 696.02 B. $ 707.63 C. $ 707.23 D. $ 654.87
Answer:707.63
Step-by-step explanation:
Answer:798.94
Step-by-step explanation:
does a vertical stretch make a graph narrower or wider?
Answer:
narrower
Step-by-step explanation:
Write this number in words.
8,400.9
Answer:
eight thousand four hundred and nine tenths
Hope this helps!