Answer:
f(3) = 11
Step-by-step explanation:
Substitute x=3 into the equation so:
f(3) = 6+5
f(3) = 11
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
find f(3) when f(x)=2x=5
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
Write 3 in lieu of x and simplify:-
[tex]\Large\text{f(3)=2(3)+5}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{f(3)=6+5}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\Large\text{f(3)=11}[/tex]
Good luck with your studies! :-)[tex]\rule{50}{1}\smile\smile\smile\smile\rule{50}{1}[/tex]
What is the solution of the equation 4.5+m=10
Answer:
The first thing that we need to do is subtract 4.5 from both sides because that would removed the 4.5 from the left side and leave us with m by itself. So we get the following [tex]m=5.5[/tex] and that is our solution.
Hope this helps! Let me know if you have any questions
Answer:
5.5
Step-by-step explanation:
to find additional value, subtract the known
[because 4.5 plus (+) a number (m) is equal to (=) 10, the number (m) must be equal to (=) 4.5 minus (-) 10.]
10 - 4.5 = 5.5
to find if this is correct, add it back
4.5 + 5.5 = 10
m = 5.5
hope this helps:)
Find the length of the curve r=sqrt(1 cos 2 theta)
The length of the curve r=√(1+cos 2θ) is 2π after integrating over the limit 0 to π√2
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have:
[tex]\rm r=\sqrt{(1 +cos 2 \theta)}[/tex]
[tex]\rm r=\sqrt{2cos^2 \dfrac{2 \theta}{2}[/tex]
[tex]\rm r = \sqrt{2}cos\theta[/tex]
[tex]\rm \dfrac{dr}{d\theta}= -\sqrt{2}sin\theta[/tex]
Length:
[tex]\rm L = \int\limits^{\pi\sqrt2}_0 {\sqrt{r^2+(\dfrac{dr}{d\theta}})^2} \, d\theta[/tex]
After the value of r and dr/dθ and solve the definite integral, we will get:
L = 2π
Thus, the length of the curve r=√(1+cos 2θ) is 2π after integrating over the limit 0 to π√2
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Can someone pls help me
Answer:
? what do u want me todo
Step-by-step explanation:
what is 5.136 rounded to the nearest tenth
Answer:
5.136 is 5.1 to the nearest tenth
Camile is packing seeds to send to her mother in law. She estimates that she needs a box with a volume of at least 6,856 cubic inches. Here are the boxes she has to choose from Option A Length: 13 inches, Width 12 inches, Height: 16 inches Option B Length: 18 inches, Width: 25 inches, Height: 16 inches Option C Length:12 inches, Width: 14 inches Height: 22 inches Option D Length: 20 inches, Width:22 inches, Height: 17 inches Which boxes con she choose?
Step-by-step explanation:
the volume of a box (or prism) is always
length × width × height
so, box A
13 × 12 × 16 = 2,496 in³
box B
18 × 25 × 16 = 7,200 in³
box C
12 × 14 × 22 = 3,696 in³
box D
20 × 22 × 17 = 7,480 in³
so, she can use B or D.
Carrie drew two acute non-overlapping angles that share a ray and labeled them LADB and LBD The two angles have the same whole number measure. What is the least possible measure of LAD What is the greatest possible measure of LADC? O A. least: 2° greatest: 88°Carrie drew two acute non-overlapping angles that share a ray and labeled them LADB and LBD The two angles have the same whole number measure. What is the least possible measure of LAD What is the greatest possible measure of LADC?
Answer:
B. least 2°; greatest 178°
Step-by-step explanation:
The measure of ∠ADC will be the sum of the measures of the two acute angles ADB and BDC.
__
Each acute angle with a measure that is a whole number of degrees will have a measure between 1° and 89°, inclusive.
The least sum of two such angles will be ...
1° +1° = 2°
The greatest sum of two such angles will be ...
89° +89° = 178°
A parabola has vertex (−2, −1) and passes through the point (1, 26). Find its equation.
[tex]\text{Equation of parabola in vertex form,}\\\\~~~~~~~~~y = a(x-h)^2 +k\\\\\implies 26 = a(1+2)^2 -1~~~~~~~~;[(x,y) = (1,26)~ \text{and}~ (h,k) = (-2,-1)]\\\\\implies 26 = 9a -1\\\\\implies 9a = 26+1\\\\\implies 9a = 27\\\\\implies a = \dfrac{27} 9 \\\\\implies a = 3\\\\\text{Now,}\\\\~~~~~~~~y = 3(x+2)^2 -1~~~~~~~~~~;[\text{Vertex form.}]\\\\\implies y=3(x^2 +4x +4) -1\\\\\implies y = 3x^2 +12x +12 -1 \\\\\implies y=3x^2 +12x+11~~~~~~~~;[\text{Standard form.}][/tex]
Lucia wants to spend less than $8 on her order. Which of the following represent amounts that are in Lucia's budget?
Answer:
x < 8
Step-by-step explanation:
If Lucia wants to spend less than $8 dollars on an order, the answer would be x is less than 8.
aria buys a box of doughnuts, which come with differente fillings insinde. The flavors are: 3 jelly, 5 cream and 1 lemon. What is the probability that the first doughnut Maria eats has jelly inside?
Answer:
1/3
Step-by-step explanation:
3 + 5 +1 = 9
3/9 = 1/3
how does the scatter plot show that age and time spent talking on the phone have a linear association?
Answer:
When the y variable tends to increase as the x variable increases we say there is a positive correlation between the variables
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The ladder makes an angle of 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.
The length of the ladder nearest hundredth of a foot is 23 feet.
We have given that,
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.
The ladder makes an angle of [tex]77^{\circ}[/tex] the ground.
What is the sin ratio?[tex]sin(\theta)=\frac{perpendicular \ side}{hypotenous}[/tex]
Therefore we get,
[tex]\implies\frac{22}{H} =sin(77)[/tex]
[tex]\implies H=22/sin(77)[/tex]
[tex]\implies 22.59ft\\\\=23ft[/tex]
Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.
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Find the value of [tex]y[/tex] when [tex]x=7[/tex]
Hey there!
GUIDE:
2 negatives = positive
2 positives = positive
1 negative & 1 positive = negative
1 positive & 1 negative = negative
ANSWERING THE GIVEN QUESTION
y = -4x
y = -4(7)
y = -28
Because, remember we said a NEGATIVE (-4) & a POSITIVE (7) gives you a negative [-28]
Therefore, the answer should be: -28
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Taxi charges 2.95 for the first mile and 0.30 per 1/8 gary was charged 25.45 for this taxi ride. Not including the first mile how many miles did Gary travel.
Using proportions, considering the cost of the taxi per mile, it is found that Gary traveled 9.375 miles, not including the first.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the company charges 2.95 for the first mile and $0.3 per each 1/8 mile next = $2.4 per mile. After the first mile, he was charged a total of $25.45 - $2.95 = $22.5. Hence the number of miles is given by:
22.5/2.4 = 9.375.
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Please help me on this!
The correct answer ofr this question is option D
6. In a survey, 25 out of 200 students indicated they would vote for Xaria for class president. If 1,000
students are voting in the election, how many would be expected to vote for Xaria?
One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
other leg = 16 cm
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the other leg , then
x² + 12² = 20²
x² + 144 = 400 ( subtract 144 from both sides )
x² = 256 ( take square root of both sides )
x = [tex]\sqrt{256}[/tex] = 16
find the area of the following figure
Answer:
okay
Step-by-step explanation:
calculate the areas of those rectangles separately
[tex]say \: rectangle \: 1 \\ area = 21 \times 18 \\ = {378in}^{2} \\ rectangle \: two \\ area = 17 \times 9 \\ = {153in}^{2} \\ \\ total \: area \: = 153 + 378 \\ = {531in}^{2} [/tex]
i cant figure this one out at all
Answer:
a. 2^(x-2) = g^(-1)(x)
b. A, B, D
Step-by-step explanation:
the phrasing attached in the image is flagged as inappropriate, so i will be replacing it with g(x) and its inverse with g^(-1)(x)
1. replace g(x) with y and solve for x
y = log₂(x) + 2
subtract 2 from both sides to isolate the x and its log
y - 2 = log₂(x)
this text is replaced by the second image -- it was marked as inappropriate
thus, 2^(y-2) = x
replace x with g^(-1)(x) and y with x
2^(x-2) = g^(-1)(x)
2. plug this in to points A, B, C, D, E, and F
A: (2,1)
plug 2 in for x
2^(2-2) = 2⁰ = 1 so this works
B: (4, 4)
2^(4-2) = 2²= 4 so this works
C: (9, 3)
2^(9-2) = 2⁷ = 128 ≠ 3 so this doesn't work
(5, 8)
2^(5-2) = 2³ = 8 so this works
E: (3, 5)
2^(3-2) = 2¹ = 2 ≠ 5 so this doesn't work
F: (8, 5)
2^(8-2) = 2⁶ = 64 ≠ 5 so this doesn't work
Which of the following can be found on a credit report?
A Personal Social Security Number
B Checking Account Balance
C Late Payments to Lenders
D Credit Card Balances
B and D Only
A Only
Not here
A, C, and D Only
Answer:
A, C, & D only
Step-by-step explanation:
All of the following are listed on your credit report except option B) your checking account balance.
For which system of equations is the graph below a solution?
A. y = x - 2
y = - x - 3
B. y = x + 2
y = - x - 3
C. y = x - 2
y = -x + 3
D. y = x + 2
y = -x + 3
Answer:
C
Step-by-step explanation:
Black line
slope = Δy / Δx = -3 / 3 = -1
Y intercept = 3
LINE equation ( y = slope times x + y intercept): y = -x +3
Blue line
slope = Δy / Δx = 2 / 2 = 1
Y intercept = -2
LINE equation ( y = slope times x + y intercept): y = x -2
which of the following numbers is a multiple of 5
A 53
B 79
C 21
D 65
Answer:
65
Step-by-step explanation:
It ends in 5 or 0. 65 divided by 5= 13
Gideon has a rectangular garden with an area of 19.6 square feet. If the length of the garden is 4.3 feet, what is the length of the diagonal of the garden? Round to the nearest tenth.
The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet
What is a rectangle?A rectangle is a quadrilateral with four sides and four vertices each of angle 90°.
Analysis:
Area of rectangle: 19.6 square feet
length of one side = 4.3 feet
width of one side = Area/length = 19.6/4.3 = 4.6 feet
the diagonal and width and length of a rectangle for a right angle triangle.
To find the diagonal, we use Pythagoras theorem
[tex](diagonal)^{2}[/tex] = [tex](length)^{2}[/tex] + [tex](width)^{2}[/tex]
[tex](diagonal)^{2}[/tex] = [tex](4.3)^{2}[/tex] + [tex](4.6)^{2}[/tex]
[tex](diagonal)^{2}[/tex] = 39.7
diagonal = [tex]\sqrt{39.7}[/tex] = 6.3 feet
in conclusion, the diagonal of the rectangular garden is 6.3 feet
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How do you think a car engine gets energy from gasoline?
A car engine gets energy from gasoline during the production of the combustion of gasoline in a car engine which is converted as kinetic energy.
How is the energy of the universe conserved?In a car driven by a gasoline combustion engine, heat energy is quickly converted into kinetic energy which results in the motion of the car.
The law of the conservation of energy states that "Energy cannot be destroyed or created. It can only be transformed from one form to another".
The combustion of gasoline in a car engine tends to generate heat energy, this heat energy will be transferred as kinetic energy which results in the motion of the car.
This energy of the universe will be conserved as the energy created by the combustion is used as kinetic energy for the motion of cars.
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Answer:
A car engine gets energy from gasoline during the production of the combustion of gasoline in a car engine which is converted as kinetic energy.
Step-by-step explanation:
How is the energy of the universe conserved?
In a car driven by a gasoline combustion engine, heat energy is quickly converted into kinetic energy which results in the motion of the car.
The law of the conservation of energy states that "Energy cannot be destroyed or created. It can only be transformed from one form to another".
The combustion of gasoline in a car engine tends to generate heat energy, this heat energy will be transferred as kinetic energy which results in the motion of the car.
This energy of the universe will be conserved as the energy created by the combustion is used as kinetic energy for the motion of cars.
Your broker charges a commission of 5.1% of the cost of the stock you sell. if you sell a batch of stocks worth $2,617.75, how much commission will you owe your broker? a. $133.51 b. $513.28 c. $110.56 d. $392.66
Commision is the percentage on a cost of good. The amount of commision you owe your broker is $133.51
How to calculate commision on a cost of goodCommision is the percentage on a cost of good. GIven the following parameters
Cost of good = $2,617.75
If your broker charges a commission of 5.1% of the cost, the amount charged is given as:
Amount charged = 5.1% of $2,617.75
Amount charged = 0.051 * $2,617.75
Amount charged = $133.51
Hence the amount of commision you owe your broker is $133.51
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Answer:
Is A.133.51
I took the quiz on
Step-by-step explanation:
I NEED Help NOW FOR 10 POINTS
Y varies directly with X. Y=10 when X=5, find y when X=14
Answer:
28
Step-by-step explanation:
y=kx
10=5k
k=2
y=2×14
y=28
Combine like terms to answer the question.
Answer:
3r + 5
Step-by-step explanation:
by "combining like terms", this means that if we have, for example,
1 * x + 5 * x, we can factor this out to be x*(1+5) = 6 * x and the like terms (1x and 5x) are combined
thus, we have
-5r + 8r + 5
the "like terms" here are -5r and 8r because they both have an r attached to it. thus, we can set out to only factor the r in these two numbers, resulting in
-5 * r + 8 * r + 5 = r * (-5 + 8) + 5 = r * 3 + 5 = 3r + 5
Use >, <, or = to solve the following problems below.
(6^2)____(-6^2)
-5____ |-5|
0.372×1,000____37.2×100
(will mark brainliest)
(6^2)__>__(-6^2)
-5__=__ |-5|
0.372×1,000__<__37.2×100
Write the equation of the circle given center (-13,-16) and point on the circle (-10,-16)
Answer:
Step-by-step explanation:
Find the area and perimeter of this compound shape. Explain.
Answer:
area = 232.5
perimeter=71.243
