NEED ANSWER ASAP!
Which of the following represents the graph of f(x) = 2x + 3? (6 points)
Answers
The graph of f(x) = [tex]2^{x+3}[/tex] is option "B" .
What is exponential function?An exponential function is a mathematical function of the following form:
f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.
According to the question
Represents the graph of f(x) = [tex]2^{x+3}[/tex]
f(x) = [tex]2^{x+3}[/tex] is a exponential function
To draw the graph of f(x) = [tex]2^{x+3}[/tex]
The values will be
x f(x)
0 8
1 16
-1 4
-2 2
-3 0
Hence, the graph of f(x) = [tex]2^{x+3}[/tex] is option "B" .
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The graph of the function represented by the equation f(x) = 2ˣ + 3 is (c)
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
The function
Where, we have
f(x) = 2ˣ + 3
The above function is an exponential function that has been transformed as follows
Asymptote at y = 3Function increases as x increasesUsing the above as a guide, we have the following:
The graph of the function is (c)
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Related Questions
On Friday 17.5 total gallons of water were used. on Saturday, 31.5 total gallons were used. On Saturday 24.75 total gallons were used. What is the difference between the water use per load of the dishwasher that uses the most water and the dishwasher that uses the least water
Answers
Answer:
6.25 gal
Step-by-step explanation:
Least amount of water used: 17.5 gal
Greatest amount used: 24.75 gal
Difference: 24.75 gal - 17.5 gal = 6.25 gal
The thirstiest dishwasher used 6.25 gal more than the thriftiest dishwasher.
Answer:
0.75
Step-by-step explanation:
friday, it is 4, saturday is 3.5, sunday is 3.25. 4-3.25 is 0.75.
Trigonometric Functions help. What is the length of side AB? Type the correct answer rounded to one decimal place.
Answers
Check the picture below.
make sure your calculator is in Degree mode.
Answer:
37.0
Step-by-step explanation:
You have a total of 3 triangles in one here. Triangle ABC, triangle ABD, and triangle DBC. If we can find out the length of side BD in triangle DBC that will help us later. We have angle D and side DC and we are looking for the hypotenuse of that right triangle DBC. The trig ratio that relates the side adjacent to the reference angle to the hypotenuse is the cosine:
[tex]cos(40)=\frac{20}{BD}[/tex]
Solving for BD:
[tex]BD=\frac{20}{cos(40)}[/tex]
That gives us that BD = 26.1
Now that we know that, we can move into the obtuse triangle that shares the side BD with the right triangle. We have that angle BDC is 40 degrees, and since angle ADB is supplementary to angle BDC, then angle ADB measures 180 - 40 = 140. So angle A is 30, angle ADB is 140, so that means that angle ABD is 10. Because triangle ABD is obtuse and not right you cannot use Pythagorean's Theorem. But you can use the Law of Sines. Set it up like this:
[tex]\frac{sin(140)}{AB}=\frac{sin(10)}{10}[/tex]
Solve for side AB:
[tex]AB=\frac{10sin(140)}{sin(10)}[/tex]
In degree mode on your calculator you'll find that side AB is 37.0
What is the total area of the prism?
Answers
Answer:
The total area of the prism is [tex]SA=(\frac{9\sqrt{3}}{2}+54)\ in^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the triangular prism of the figure is equal to
[tex]SA=2B+PL[/tex]
where
B is the area of the triangular face
P is the perimeter of the triangular face
L is the length of the prism
Find the area of the base B
The base is an equilateral triangle
so
Applying the law of sines the area is equal to
[tex]B=\frac{1}{2}(3)^{2}sin(60\°)[/tex]
[tex]B=\frac{9\sqrt{3}}{4}\ in^{2}[/tex]
Find the perimeter P of the triangular face
[tex]P=(3+3+3)=9\ in[/tex]
we have
[tex]L=6\ in[/tex]
substitute
[tex]SA=2(\frac{9\sqrt{3}}{4})+(9)(6)[/tex]
[tex]SA=(\frac{9\sqrt{3}}{2}+54)\ in^{2}[/tex]
Match the type of graph with its description.
1. bar graph
2. line graph
3. scatter plot
4. histogram
5. box-and-whisker plot
a. Compares data that is in categories.
b. Used to see trends in data.
c. Organizes data into 4 groups of equal size, and is often used to compare two sets of data.
d. Shows change over time.
e. Shows frequency of data, using equal intervals with no space between the bars.
Answers
1. bar graph - Compares data that is in categories.
2. line graph - Shows change over time.
3. scatter plot - Used to see trends in data.
4. histogram - Shows frequency of data, using equal intervals with no space between the bars.
5. box-and-whisker plot - Organizes data into 4 groups of equal size, and is often used to compare two sets of data.
School is almost over, good luck!!
The area of a triangular flag is 330 square centimeters. If the base of the triangle is 30 centimeters long, what is the height of the triangle?
Answers
The height of the triangle is 22 centimeters. When The area of a triangular flag is 330 square centimeters
To find the height of the triangle, we can use the formula for the area of a triangle, which is given by:
Area = (1/2) * base * height
where "base" is the length of the base of the triangle, and "height" is the height of the triangle.
Given that the area of the triangular flag is 330 square centimeters and the base is 30 centimeters, we can plug these values into the formula and solve for the height:
330 = (1/2) * 30 * height
To find the height, first, multiply 30 by (1/2):
330 = 15 * height
Now, divide both sides of the equation by 15 to solve for the height:
height = 330 / 15
height = 22
So, the height of the triangle is 22 centimeters.
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Water is flowing in a circular pipe varying cross-sectional area, and at all points the water completely fills the pipe.a) At one point in the pipe the radius is 0.210 m. What is the speed of the water at this point if water is flowing into this pipe at a steady rate of 1.10 m3/s?b) At a second point in the pipe the water speed is 2.80 m/s. What is the radius of the pipe at this point?
Answers
Final answer:
a) The speed of the water at a point in the pipe with a radius of 0.210 m is 7.97 m/s. b) The radius of the pipe at a second point where the water speed is 2.80 m/s is approximately 0.209 m.
Explanation:
a) To find the speed of the water at a point in the pipe, we can use the equation Q = Av, where Q is the flow rate, A is the cross-sectional area of the pipe, and v is the velocity of the water. Given that the flow rate is 1.10 m³/s and the radius is 0.210 m, we can find the area using the formula A = πr². Substituting the values, we have A = 3.14(0.210)² = 0.138 m². Solving for v, we get v = Q / A = 1.10 / 0.138 = 7.97 m/s.
b) To find the radius of the pipe at a second point where the water speed is 2.80 m/s, we can use the equation v = Q / A. Rearranging the equation to solve for the radius, we have r = √(Q / (πv)). Substituting the values, we have r = √(1.10 / (π(2.80))) ≈ 0.209 m.
In the triangle below, 8/15 represents which ratio?
tanB
tanC
sinB
cosC
Answers
Answer:
tan(B)
Step-by-step explanation:
we know that
The tangent of an angle is equal to divide the opposite side to the angle by the adjacent side to the angle
In this problem
tan(B)=AC/AB
substitute
tan(B)=8/15
Answer:
tan(B)
Step-by-step explanation:
Correct
What is the constant of proportionality in a question like "The cost of 3 pounds is 6.75. What is the Constant of proportionality that relates the cost of dollars,y, to the number of pounds of grapes,x? (Grade 7)
Answers
Answer:
Step-by-step explanation:
The constant of proportionality is simply the ratio expressed as a decimal.
So in the example, the constant of proportionality is 6.75 $ / 3 lb = 2.25 $/lb.
A bag contains 2 red balls and 18 green balls. A ball is chosen at random from the bag. What is the BEST answer for the probability of drawing a green ball? A) impossible B) unlikely C) very likely D) certain
Answers
Answer:
C) very likely
Step-by-step explanation:
Out of the 20 balls inside of the bag, 18 of them are green.
That means you have a 18/20 or 90% chance of getting a green ball.
Therefore, the probability of drawing a green ball is [tex]90[/tex] % then the option (C) is correct i.e., very likely.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.
Here given that,
A bag contains [tex]2[/tex] red balls and [tex]18[/tex] green balls. A ball is chosen at random from the bag.
So,the total balls are [tex]18+2=20[/tex]
Green balls are [tex]18[/tex].
So the probability is
[tex]\frac{18}{20}[/tex] ×[tex]100=90[/tex] %
Hence, the probability of drawing a green ball is [tex]90[/tex] % then the option (C) is correct i.e., very likely.
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Hi, help is very much appreciated!
" Make a box-and-whisker plot of the data 5, 7, 2, 6, 7, 10, 12, 7, 9, 13, 5 "
Maybe a visual explanation please :) ( I already have the numbers in order from Least to Greatest. ) ( 2, 5, 5, 6, 7, 7, 9, 10, 12 )
Answers
Here's a visual representation. The numbers are a little blurry though.
PLEASE HELP ASAP 50 Pts + BRAINLIEST TO RIGHT/BEST ANSWER
Answers
Answer:
[tex]f(x)=(x+2)(x-5)(x-6)[/tex]
Step-by-step explanation:
we know that
If the zeros of the function are
x=-2, x=5 and x=6
then
The factors are
(x+2), (x-5) and (x-6)
therefore
The polynomial function in factored form is equal to
[tex]f(x)=(x+2)(x-5)(x-6)[/tex]
Power set: let B=(0), then p(b)=?
Answers
If [tex]B=\{0\}[/tex] then [tex]p(B)=\{0\}^{B[0]}=\boxed{1}[/tex].
Hope this helps.
Select the equation that contains the point (4, -8), and in which the graph of the line has a positive slope.
y – 8 = –4(x + 4)
y – 8 = 4(x + 4)
y + 8 = +4(x – 4)
y + 8 = –4(x – 4)
Answers
Answer:
The third equation down is the one you want
Step-by-step explanation:
What you need for this is the point-slope form of a line:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
where y1 is the y coordinate from our point and x1 is the x coordinate from our point. m is the slope. That m has to be positive, according to the instructions. So the first equation and the last one are out, since those are both negative.
If we fit our point into the point-slope form, it looks like this:
[tex]y-(-8)=4(x-(4))[/tex]
which simplifies to
[tex]y+8=4(x-4)[/tex]
and that matches the third equation down.
What is the volume of a sphere whose radius is 6 ft
Answers
Answer:
Option C. [tex]288\pi\ ft^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a sphere is equal to
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
we have
[tex]r=6\ ft[/tex]
substitute
[tex]V=\frac{4}{3} \pi (6)^{3}[/tex]
[tex]V=288\pi\ ft^{3}[/tex]
The volume of the sphere with a radius of 6 ft is 904.78 ft³.
Explanation:The volume of a sphere can be calculated using the formula: V = (4/3)πR³. Given a radius of 6 ft, we can substitute this value into the formula to find the volume:
V = (4/3)π(6 ft)³
V = (4/3)π(216 ft³)
V = 904.78 ft³
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E is 3 more than D
F is 5 less than D
A). Write an expression for “e” in terms of “d.
B). Write an expression for “f” in terms of “d.
C). Work out E-F and symplify your answer.
Answers
Part A:
We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D
Therefore:
E = D + 3
Part B:
We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D
Therefore:
F = D - 5
Part C:
To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A
Therefore:
E - F = (D+3) - (D-5)
E - F = D + 3 - D + 5
E - F = 8
Hope this helps :)
The expression for 'e' in terms of 'd' is e = d + 3. The expression for 'f' in terms of 'd' is f = d - 5. The difference between 'E' and 'F' is 8.
Explanation:A) e = d + 3
To express 'e' in terms of 'd,' we can simply say that 'e' is equal to 'd' plus 3. This is because the question states that 'E is 3 more than D.'
B) f = d - 5
To express 'f' in terms of 'd,' we can say that 'f' is equal to 'd' minus 5. The question states that 'F is 5 less than D.'
C) E - F = (d + 3) - (d - 5) = d + 3 - d + 5 = 8
To find the difference between 'E' and 'F,' we can substitute the expressions we found for 'e' and 'f' into the equation. Simplifying the expression further, we have 'E - F = (d + 3) - (d - 5) = d + 3 - d + 5 = 8.'
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Find the coordinates of the midpoint of a segment with the endpoints
(-4, -14) & (-22, 9).
a. (-13, -2.5)
b. (-15, -2.5)
c. (-18, -4)
d. (-8, -1
Answers
Answer:
A es la respuesta a tu pregunta ue acabas de preguntar para que alguien la respondiera.
Identify m∠KOL. HELP PLEASE!!
Answers
Answer:
30°
Step-by-step explanation:
In m KÔL, the angle is Ô and angle Ô is actually 30 degrees ;)
Answer:
m∠KOL = 30°
Step-by-step explanation:
It is given that mKL = 90and mMN = 30∘.
If two secants intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs. So,
m∠KOL= 1/2(mKL− mMN)
Substitute the given values and simplify.
m∠KOL= 1/2 (90∘−30∘)
= 1/2(60∘)
= 30∘
Therefor, m∠KOL=30∘.
If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?
(x + 2) ´ ______ = x2 – 4
x2 – 4
x – 2
x + 2
x2 – 2
Answers
Answer:
x - 2
Step-by-step explanation:
Given expression,
[tex](x^2-4)\div (x+2)=x-2[/tex]
[tex]\frac{x^2-4}{x+2}=x-2[/tex]
Multplying both sides by x + 2 ( Division property of equality )
[tex]\frac{x^2-4}{x+2}\times (x+2)=(x-2)\times (x+2)[/tex]
[tex]x^2-4=(x-2)(x+2)[/tex]
[tex]\implies x^2-4=(x+2)(x-2)[/tex] ( By commutative property )
Thus, SECOND OPTION is correct.
Answer:
X-2 is the correct answer! Edge 2020
Step-by-step explanation:
A.)List the 4 steps outlined in the lesson on solving equations. (1 points)
B.)Solve each equation and show all work (3 points each)
1.) 5x + 7 = 3x + 21
2.) 3x - 2(5 - x) = -3(x - 10) + 3x
3.) 5(x + 1) = 3(2x + 3) + 5
Answers
For this case we must solve the following equations:
[tex]5x + 7 = 3x + 21[/tex]
We subtract 3x on both sides of the equation:
[tex]5x-3x + 7 = 21[/tex]
We subtract 7 on both sides of the equation:
[tex]5x-3x + 21-72x = 14[/tex]
We divide between 2 on both sides of the equation:
[tex]x = \frac {14} {2}\\x = 7[/tex]
The second equation is:
[tex]3x-2 (5-x) = - 3 (x-10) + 3x[/tex]
We apply distributive property to the terms of parentheses:
[tex]3x-10 + 2x = -3x + 30 + 3x[/tex]
We add common terms:
[tex]5x-10 = 30[/tex]
We add 10 to both sides of the equation:
[tex]5x = 30 + 10\\5x = 40[/tex]
We divide between 5 on both sides of the equation:
[tex]x = \frac {40} {5}\\x = 8[/tex]
Third equation:
[tex]5 (x + 1) = 3 (2x + 3) +5[/tex]
We apply distributive property to the terms within parentheses:
[tex]5x + 5 = 6x + 9 + 5[/tex]
We add similar terms:
[tex]5x + 5 = 6x + 14[/tex]
We subtract 6x on both sides of the equation:
[tex]5x-6x + 5 = 14[/tex]
We subtract 5 on both sides of the equation:
[tex]-x = 14-5\\-x = 9\\x = -9[/tex]
Answer:
[tex]x = 7\\x = 8\\x = -9[/tex]
is it virtually impossible to completely avoid criticism
Answers
Well yes but this doesn't belong in math by the way.
Which equation describes this statement? The sum of p and q is equal to 24. Let q = 3. p + 3 = 24 p – 3 = 24 p ÷ 3 = 24 p × 3 = 24
Answers
For this case we must write algebraically the following statement:
"The sum of p and q is equal to 24"
The sum of p and q is represented as:
[tex]p + q[/tex]
If the sum is equal to 24 we have:
[tex]p + q = 24[/tex]
If they tell us that [tex]q = 3[/tex], then the expression is:
[tex]p + 3 = 24[/tex]
Answer:
[tex]p + 3 = 24[/tex]
4) For questions a-c use the equation y − 2 = 13(x + 5) given in point slope form.
a) What is the slope of the line? b) What is a coordinate point on the line?
c) Sketch the graph of y − 2 = 13(x + 5) on the graph below:
Answers
Answer:
a) 13, b) (-5, 2)
Step-by-step explanation:
Point slope form of a line is:
y − y₁ = m (x − x₁)
where m is the slope and (x₁, y₁) is a point on the line.
In this case, m = 13 and (x₁, y₁) = (-5, 2).
Here's a graph:
desmos.com/calculator/pknwab84xs
Two trains leave stations 494 miles apart at the same time and travel toward each other. One train travels at 100 miles per hour while the other travels at 90
miles per hour. How long will it take for the two trains to meet? do not do any rounding.
Answers
Answer:
The trains will meet after 2.6 hours.
Step-by-step explanation:
Add up the distances traveled by the two trains:
distance1 = (100 mph)(t hours)
distance2 = (90 mph)(t hours)
Sum of distance1 and distance2 = 494 miles = (190 mph)(t hours)
Solving for t, we get t = 494 miles / 190 mph = 2.6 hours
The trains will meet after 2.6 hours.
It will take 2.60 hours for the two trains to meet.
Explanation:To find out how long it will take for the two trains to meet, we can use the formula: time = distance / speed.
Since the trains are traveling towards each other, we can add their speeds together to get the effective speed: 100 mph + 90 mph = 190 mph.
Now we can plug in the values: time = 494 miles / 190 mph = 2.60 hours.
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Based on a poll of 200 citizens, a community action group claims that 40% of the population is in favor of a curfew for children under 18 on weekday nights. A local parent group claims that the poll is not valid and that only 22% of the citizens favor a curfew. To determine whether this sample supports the population proportion of 0.40, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.22. The minimum sample proportion from the simulation is 0.15, and the maximum sample proportion from the simulation is 0.27. The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion?
Answers
Answer: (0.18,0.26)
Step-by-step explanation: I just finished the test
Suppose f(x)=x-4.
Find the graph for f(1/4x)
Answers
Answer:
#4
Step-by-step explanation:
Graph #4 is the correct one. Multiplying x by 1/4 widens the original graph by a factor of 4. That "-4" shifts the graph 4 units to the right.
Find the product. 3 y2z (2 y2z + 4 yz - y + z )
A. 4 y6z2 + 13 y3z12 - 3 y2z2 - 3 yz
B. 6 y4z2 + 12 y3z2 - 3 y3z + 3 y2z2
C. 6 y2z4 - 12 y2z3 + 3 yz3 - 3 y2z2
D. 3 y4z2 + 3 y3z2 - 6 y3z - 4
Answers
Answer:
I believe B. is the correct answer.
6y4z2 + 12y3z2 - 3y3z + 3y2z2
Step-by-step explanation:
Answer:
the answer is 6y4z2 + 12y3z2 - 3y3z + 3y2z2
Step-by-step explanation:
The midpoint of a line segment is (-1, 4). The endpoints of the line segment are (3, y) and (-5, 10). What is the value of y?
Answers
Answer:
-2
Step-by-step explanation:
The midpoint is the average of the end point coordinates, so ...
4 = (y +10)/2 . . . . the y-coordinate is the average of the y-coordinates
8 = y +10 . . . . . . . multiply by 2
-2 = y . . . . . . . . . . subtract 10
Expand logb square root of 41/97
Answers
Answer:
A
Step-by-step explanation:
logb √(41/97)
Square root can be written in exponent form:
logb (41/97)^½
Using log exponent rule:
½ logb (41/97)
Using log quotient rule:
½ (logb 41 - logb 97)
A sphere has radius of 42 m. If the radius is divided by 6, what is the effect on the surface area? HELP ASAP!
The surface area is multiplied by 6.
The surface area is multiplied by 36.
The surface area is divided by 36.
The surface area is divided by 6.
Answers
A sphere with radius [tex]r[/tex] has surface area [tex]4\pi r^2[/tex]. Divide the radius by 6 and you get a surface area of [tex]4\pi\left(\dfrac r6\right)^2=\dfrac4{36}\pi r^2[/tex], so that the final surface area is divided by 36.
At a snack bar, there is a negative correlation between the number of sports drinks sold and the number of hot chocolates sold.
Which variable is most likely the lurking variable that explains the correlation?
ages of customers
number of customers
outside temperature
price of sports drinks
Answers
Hi good morning
So answer A. Ages of customers can be the answer
Answer B.Number of customers can be eliminated.
Answer C. Outside temperature can effect the what people want to drink, if its hot sports drink, If its cold Hot chocolate for everyone ! I depends on the temperature.
Answer D. Price of sports drink can be eliminated.
so, MY conclusion is that it could very well be the age group. ( Answer A)
I hope this helps. I am very sorry if it is wrong. At least I tried
Have a good day ^^