Answer:
C
Step-by-step explanation:
you know the drill
Halla un numero que aumentado en 36 resulta el doble del numero , disminuido en 18 .
The number should be 54, where we can add 36 to get twice the number decreased by 18.
What is linear equation?There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation.
Given that, when we add 36 with a number then it gives twice the number decreased by 18.
Let the number be [tex]x[/tex] .
We get the linear equation
[tex]x+36=2x-18\\\Rightarrow x-2x=-18-36\\\Rightarrow -x=-54\\\Rightarrow x=54[/tex]
Therefore, the number should be 54.
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A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function?
Part B: What does the y-intercept of the graph of the function f(n) represent?
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent?
The average rate of change of the function from n = 1 to n = 5 is 3.36 plants per day
The reasonable domainThe function is given as:
f(n) = 10(1.02)^n
The maximum height is 11.04
So, we have:
10(1.02)^n = 11.04
Divide by 10
1.02^n = 1.104
Take the log of both sides
n * log(1.02) = log(1.104)
Divide by log(1.02)
n = 5
Hence, the reasonable domain is 0 ≤ n < 5
The y-interceptWe have:
f(n) = 10(1.02)^n
Set n to 0
f(0) = 10(1.02)^0
Evaluate
f(0) = 10
Hence, the y-intercept is 10
The average rate of changeWe have:
f(n) = 10(1.02)^n
Calculate f(1) and f(5)
f(1) = 10(1.02)^1 = 10.2
f(5) = 10(1.02)^5 = 10.2
The average rate is then calculated as:
m = (f(5) - f(1))/(5 - 1)
This gives
m =(11.04 - 10.2)(5 - 1)
Evaluate
m = 3.36
Hence, the average rate of change of the function f(n) from n = 1 to n = 5 is 3.36
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please help me with this
Answer is 41
Hope it help you
Which of the following is the difference of two squares?
Step-by-step explanation:
ATTACHED IS THE SOLUTION!
Marisa can read 18 pages in 20 minutes. At that rate, how many hours will it take her to read an 837-page book?
30 MORE POINTS FOR THIS
[tex]y = \frac{1}{x - 3} + 7[/tex]
[tex]x = \frac{1}{y - 3} + 7[/tex]
[tex]x - 7 = \frac{1}{y - 3} [/tex]
[tex]y - 3 = \frac{1}{x - 7} [/tex]
[tex]y = \frac{1}{x - 7} + 3[/tex]
where x≠7Letter Bwill give brainliest if done properly
Answer:
[tex]\sf \boxed{ \sf y - 3 = \dfrac{3}{2} (x - 6)}[/tex]
Explanation:
[tex]\sf Given \ equation: y = \dfrac{3}{2} x - 5[/tex]
Comparing it with slope intercept form "y = mx + b" where 'm' is slope and 'b' is y-intercept.
Here slope: 3/2 and y-intercept: -5
Parallel slope has the same tangent slope.
Pass through point (x, y) = (6, 3)
Equation:
[tex]\sf y - y_1 = m(x - x_1)[/tex]
[tex]\rightarrow \sf y - 3 = \dfrac{3}{2} (x - 6)[/tex]
Copy the figure below onto a separate sheet of paper. Find the image of the figure under reflections in line m and then line t. In the box below, describe the location of the new image in relation to lines m and t. For example, the new image is above, below, left, or right of lines m and t.
The image of the pentagon under reflections in line m and then line t is shown below.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
The image of the figure under reflections in line m and then line t.
The reflection of the pentagon DEFG will be given in the figure.
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Can someone help me please.
Answer:
C) Similar - SAS
How many more saplings with a height of 27 1/4 inches or less were there than saplings with a height greater than 27 1/4 inches?
Answer:
Step-by-step explanation:
What is the slope intercept in writing form of the equation
Answer:
y = -7/8x - 1 1/2
Step-by-step explanation:
m = y2 - y1/ x2 - x1 is how you find the m in y=mx+b
(I converted the fractions to decimals)
substitute you slope and (x,y)
y = mx + b
-5 = -0.875(4) + b
-5 = -3.50 + b
-1.50 = b
b = -1.50
then just convert back to a fraction
M angle IMJ= help me please thanks
The measure of angle IMJ is 62.5 degrees
How to solve for IMJ?To solve for angle IMJ, we make use of the following arc intercept theorem.
Angle IMJ = 0.5 * (Arc IJ + Arc LK)
So, we have:
Angle IMJ = 0.5 * (40 + 85)
Evaluate the product
Angle IMJ =62.5
Hence, the measure of angle IMJ is 62.5 degrees
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A bookstore had 120 copies of a magazine. Yesterday the bookstore sold 2/3
of these copies. How many copies were sold yesterday?
Write your answ in simplest form.
copies
Answer:
80 magazines sold
Step-by-step explanation:
120*2/3=80
The function f(x) = StartRoot negative x EndRoot is shown on the graph. On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2). Which statement is correct?
Explanation:
From the given graph of f(x) = √-x
After analyzing,
The domain is x ≤ 0Domain interval notation: (-∞, 0)The range is f(x) ≥ 0Range interval notation: (0, ∞)Above from all options, D.) The domain of the function is all real numbers less than or equal to 0.
In the rhombus below, solve for x and y. (Round to the nearest tenth as needed.)
The measure of angles x and y are 90 degrees and 59 degrees.
What is a rhombus?A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.
We have shown the rhombus in the picture.
As we know the diagonals bisect at a 90-degree angle.
So angle x = 90 degree
To find the value of y:
31 + y + 90 = 180
y = 59 degrees
Thus, the measure of angles x and y are 90 degrees and 59 degrees.
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Which ordered pair is not a solution of the linear equation shown?
OA) (2, 1)
OB) 1,
OC) (4,8)
OD) (-2,-1)
Answer:
C
Step-by-step explanation:
to calculate these kinds of questions we can simply plug in the points given in the equation (x,y ) places where 4 is substituted in x place and 8 in y . so in choice "C" if we put 4 in x's place in the equation we would have to divide it by 2 and multiply by 1 which gives us 2 not 8.
A ski-lodge casts a 3-foot long shadow. at the same time, a 3.5 foot ski pole sticking vertically out of the snow casts a 0.5 foot shadow. in feet, how tall is the lodge?
Answer:
The lodge is 21 feet tall.
Step-by-step explanation:
Ski Lodge:
object/shadow
x/3
Ski Pole:
object/shadow
3.5/0.5
Solve for x:
x/3 = 3.5/0.5
0.5x = 10.5
x = 21
What is the answer to the question down below
We conclude that the measure of that angle is 150 degrees.
How to get the measure of angle BFE?
Notice that the measure of angle ∠BFE will be equal to:
∠BFE = ∠BFC + ∠CFD + ∠DFE
Where:
∠CFD = 90°
∠DFE = 30°
And we will have that:
∠AFC = 180° - 90° - 30° = 60°
And we know that BF bisects that angle, then:
∠BFC = 30°
So we conclude that:
∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°
We conclude that the measure of that angle is 150 degrees.
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Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p)
The equation that shows the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p) is p = 3b
How to find an equation using relationship of variables?In basket ball, If a shot is successfully scored from outside of the three-point line, three points are awarded.
where
p = number of points scoredb = number of basket made outside the three point line.Therefore, the equation that shows the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p) is as follows:
p = 3b
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justification three common tangents
Three common tangents is illustrated when two circles touch each other externally at one point and they'll have three tangents.
How to illustrate the information?It should be noted that a common tangent simply means a line the bus tangent to more than one circle.
In this case, three common tangents is illustrated when two circles touch each other externally at one point and they'll have three tangents.
A diagram is attached to illustrate the tangent.
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help? please i dont understand
Answer:
I think - option c. 54.22kg
Step-by-step explanation:
Select the correct answer.
Which equation correctly relates kinetic energy, mass, and velocity?
OA KE=m²
OB. KE=mv2
OC. KE=mv
OD. KE=mv3
Answer:
KE = 1/2 mv²
In terms of Mass Velocity
KE = mv²
Answer: [tex]KE=\frac{1}{2} mv^{2}[/tex]
Step-by-step explanation:
- the correct equation is: [tex]KE=\frac{1}{2} mv^{2}[/tex]
- KE is kinetic energy
- m is mass
- v is velocity
besides that, i don't really know how to explain it but hope this helps :)
What is the distance between points M and N?
By using triangle properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.
How to determine the distance between two points
In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:
[tex]\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}[/tex]
L ≈ 62.464°
Then, we get the distance between points M and N by the law of the cosine once again:
[tex]MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}[/tex]
MN ≈ 9.8 m
By using triangle properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.
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Find the best fit line for the scatter plot.
The best fit line for the scatter plot is shown in the graph second option second is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
m and c are the slope of and y-intercept of the line of best.
As we can see in the picture there are scatter plots are shown.
The equation of the best fit will be which passes or nears every dot.
In the scatter plot second the line is very close to every point.
Thus, the best fit line for the scatter plot is shown in the graph second option second is correct.
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PLEASE HURRY!!!!!!
Martha wanted to find out what her classmates’ favorite sport was. She separated the list of classmates into three age groups and then from each group, drew names from a hat so that the number in each group was proportional to the number in each age group. Was Martha’s survey a random survey, and if so, which sampling method did she use?
A. Yes, she used simple random sampling.
B. Yes, she used systematic random sampling.
C. Yes, she used stratified random sampling.
D. No, she did not choose a random sample.
Answer:
C. Yes, she used stratified random sampling.
Explanation :
Stratified random sampling is a random method of sampling where researcher divided the population into sub group and the randomly select from these group to find the final sample.
Answer:
C
Step-by-step explanation:
What is the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0)?
The slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.
What is the slope?A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The slope of the line is found as;
[tex]\rm m = \frac{y_2-y_1}{x_2-x_1} \\\\ m = \frac{0-4}{6-(-2)} \\\\ m = \frac{-4}{8} \\\\ m = \frac{-1}{2}[/tex]
The standard line equation is;
y-y₁=m(x-x₁)
[tex]\rm y-4= \frac{-1}{2}(x-(-2)) \\\\ 2y-8 = x+2 \\\\ 2y =x+10 \\\\ y = 0.5 x + 5[/tex]
Hence, the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.
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Colin has a plank of wood that is 2 yards long. If he plans to cut this plank
into 67 yard pieces, how many pieces can he cut?
Answer:
He can cut 2 1/3 pieces, so a is the correct answer.
Step-by-step explanation:
[tex] \frac{6}{7} x = 2[/tex]
[tex]x = 2 \div \frac{6}{7} = 2 \times \frac{7}{6} = \frac{7}{3} = 2 \frac{1}{3} [/tex]
Answer:
[tex]2\frac{1}{3}[/tex]
Step-by-step explanation:
So this question is essentially asking how many 6/7s can fit into 2/1. Or in other words, what is 2 divided by 6/7. This gives you the equation: [tex]\frac{2}{1}\div\frac{6}{7}[/tex]. Whenever you're dividing by a fraction, you just keep the first fraction (don't change anything), change the operation (from division to multiplication) and "flip" the fraction so if you had the fraction a/b it's now b/a. This gives you the equation: [tex]\frac{2}{1}*\frac{7}{6}[/tex]. You can now just multiply the denominator and numerator. This gives you the fraction: [tex]\frac{2*7}{1*6}[/tex] which simplifies to [tex]\frac{14}{6}[/tex]. This can be further simplified by dividing both the numerator and denominator by 2. If you don't know why this keeps the original value think of it as multiplying the fraction by [tex]\frac{0.5}{0.5}[/tex] or [tex]\frac{\frac{1}{2}}{\frac{1}{2}}[/tex]. Which is technically multiplying the value by 1, so it should keep the original value, you're just simplifying the numerator and denominator. Simplifying it, gives you the fraction: [tex]\frac{7}{3}[/tex]. This can be a mixed fraction by splitting it up into two parts: [tex]\frac{6}{3}+\frac{1}{3}[/tex]. Which when added is the same thing, except the second side simplifies, and you get [tex]2\frac{1}{3}[/tex]
S is a subset within a universal set, u. If S= {x,y,4,9,?} which could describe u , letters or numbers
The universal set U from which the subset was derived is; U = {keys on a keyboard }
How to find the subset of a universal set?We are told that S is a subset within a universal set, U.
Now, If S = {x, y, 4, 9, ?}
Given S is a subset within a universal set U;
According to the question S = {x, y, 4, 9, ?}.
Now, we need to find among the given sets the one that describes the best set.
The best Universal set will be {keys on a key board } since the keys on a keyboard will have alphabets, numbers and punctuation marks mentioned in the set
Therefore, U = {keys on a keyboard }
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Find the explicit equation that represents the following recursive equation:
t(1)=5
t(n+1)=8 multiply by t(n)
help :((
The explicit equation of the function is t(n) = 5 * 8^(n-1)
How to determine the explicit equation?The function definition is given as:
t(1)=5
t(n+1)=8t(n)
Let n = 1
So, we have:
t(2) = 8t(1)
Divide through by t(1)
t(2)/t(1) = 8
The common ratio of the function is:
r = t(2)/t(1) = 8
The explicit rule is then calculated as:
t(n) = t(1) * r^(n-1)
So, we have:
t(n) = 5 * 8^(n-1)
Hence, the explicit equation of the function is t(n) = 5 * 8^(n-1)
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Simplify the expression completely.
The solution of the given expression [tex]\sqrt{7xy^7}\sqrt{21x^5y^5}[/tex]will be 7x³y⁶√3.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression will be solved as follows:-
E = [tex]\sqrt{7xy^7}\sqrt{21x^5y^5}[/tex]
E = [tex]\sqrt{7\times 7\times 3\times xy^7\times x^5y^5[/tex]
E=[tex]\sqrt{7\times 7\times 3\times x^6y^{12}[/tex]
E = 7x³y⁶√3.
Therefore the solution of the given expression [tex]\sqrt{7xy^7}\sqrt{21x^5y^5}[/tex]will be 7x³y⁶√3.
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