Answer:
A. 27 ft^3
Step-by-step explanation:
cube root of 729 is
9
1/3 of 9 is
3
volume of a cube with an edge of 3 is
3^3 =
27
Given f(x) and g(x) = k•f(x), use the graph to determine the value of k.
Step-by-step explanation:
the slope of f(x) = 1
for every increase of x by 1 also y increases by 1.
the slow of g(x) = -2
for every increase of x by one y decreases by 2.
so, we see, as
g(x) = k × f(x)
k = g(x) / f(x) = slope g / slope f = -2/1 = -2
why ? because both functions are linear functions (lines).
they look like
y = ax + b
with a being the slope of the line.
so, when multiplied by k, this is kax + kb, and we see k as factor already in the slope of the line itself.
write the equation in the slope intercept form of the line shown on the graph
need answer quick pls i’ll give brainlist to correct answer
Answer: Okay, I believe it is mean and 4inches
Step-by-step explanation:
If you add altogether, it is 40 and of course divide by 10 (the number of data) it’s 4
If p(a) = 0.60 and p(b) = 0.20, then a and b are independent events if
a. p(a and b) = 0
b. p(a and b) = 0.12
c. pla or b) = 0.80
d. pa or b) = 0.12
If A and B are independent variables, P(A and B) =0.12. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that, p(a)=0.60 and p(b)=0.20.
If A and B are independent variables,
P(A and B) =P(P∩B)= P(A) × P(B)
Here, P(P∩B)=0.60×0.20
= 0.12
Therefore, option B is the correct answer.
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a car travels at an average speed of 40km/h for 2.2 hours how far did the car travel in km
Answer:
88km
Step-by-step explanation:
If a car travels 40 km in 1 hour, then that same car would travel 40*2.2 km in 2.2 hours.
So, the car travelled 88km in 2.2 hours
Remember that speed is a rate!
Answer:
speed=distance/travel time
distance=2*40+60*3=80+180=260 km
travel time=2+3=5 hrs
Average speed during entire journey=260/5=52 km/h
how do I answer this question
Answer:
x = 4
Step-by-step explanation:
-x + 6 = 0.5x
1.5x = 6
x = 4
In the picture above, line BX is the bisector of A, angle B and C. Line CX is the bisector of A, angle C and B. If angle A = 68°, find the size of the obtuse B, angle X and C.
Answer:
,
Step-by-step explanation:
answer. is in the image
What is the area of the trapezoid shown below?
Answer:
78 sq. units
Step-by-step explanation:
1/2 × (7+19) × 6 = 78
In a pet store there are a total of 25 animals 15 of the animals are dogs term is the ratio of animals that are not dogs to the total animals in the store explain the reasoning
for your answer
Answer:
25.15
Step-by-step explanation:
the 25 comes before the 18 in the sentence. super easy
Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|
Answer:
D is not true.
Step-by-step explanation:
[tex] |4.5| = 4.5[/tex]
[tex] | - 45| = 45[/tex]
[tex]4.5 \leqslant 45[/tex]
laura cuts a square out of scrap paper. what is the angle measure of the piece left over?
HURRY UP I NEED THIS ANSWER BEFORE 12:30!!!
Answer:
I would be a right angle or 90°
Explanation:
If a square is cut out of the paper, every corner of a square is a right angle, so there's your answer.
hope i helped :)
(05.01 LC)
NEED HELP ASAP ILL MARK BRAINLIEST IF CORRECT
What is the slope of the line segment?
1/4
-1/4
4
−4
Answer:
We can tell by looking at the graph that it is a positive slope, so we can eliminate answers b and d.
It is rise over run. from a point, it goes up 4, and over 1.
4/1
which would be 4. The answer is C! Hope this helps!
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's consider two points on the line and calculate its Slope ~
(4 , 1)(8 , 2)Slope (m) of a line is :
[tex]\qquad \sf \dashrightarrow \: m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{2 - 1}{8 - 4} [/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{1}{4} [/tex]
Find the surface area of a right cone with a radius of 3 meters and a slant height of 5 meters.
The surface area of the right cone with a radius of 3 meters and a slant height of 5 meters is 47.1 m².
What is surface area?
To calculate the surface area of the cone, we use the formula below.
Formula:
A = πrl.............. Equation 1Where:
A = Surface area of the coneπ = Piel = Slight HeightFrom the question,
Given:
l = 5 metersr = 3 metersπ = 3.14Substitute these values into equation 1
A = 3.14×5×3A = 47.1 m²Hence, The surface area of the right cone is 47.1 m².
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What is the value of x in this figure?
Enter your answer in the box.
Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.
How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.
Answer:
nCr = 14!/3!11! =364
Step-by-step explanation
Rectangle KLMN is graphed on the coordinate plane below. On a coordinate plane, rectangle K L M N has points (2, negative 2), (5, negative 2), (5, negative 4), (2, negative 4). The figure is rotated 360° counterclockwise using the origin as the center of rotation. What is the location of the image of point K? (2, –2) (2, 2) (–2, 2) (–2, –2)
Answer: The correct option is (A) (2, -2).
Step-by-step explanation: Given that rectangle with vertices at K, L, M and N is graphed on the coordinate plane as shown in the figure.The figure is rotated 360° counterclockwise using the origin as the center of rotation.
We are to find the location of the image of point K after the rotation.
We know that
a rotation of 360° in counterclockwise direction about the origin map a point to itself. That is, the co-ordinates of the image point will be same as the original one.
From the figure, we see that the co-ordinates of point K are (2, -2).
Therefore, after rotation of 360° counterclockwise using the origin as the center of rotation,
the co-ordinates of the image of point K will also be (2, -2).
Thus, the location of the image of point K is (2, -2).
Option (A) is CORRECT.
Answer:
A
Step-by-step explanation:
The following data points represent the total weight loss
(in kilograms) for each member of omar's final fitness
team. 61,90, 31, 35, 69, 37, 78
The histogram shows that the majority of Omar's Final Fitness Team had weight loss between 30 to 49 kg, with only a few members achieving higher weight loss of 60 to 69 kg.
To create a histogram from the given data, follow these steps:
Step 1: Determine the range of the data (largest value - smallest value): Range = 90 - 31 = 59
Step 2: Choose a number of classes for the histogram. A convenient number of classes is usually between 5 and 15. For this data set, we can choose 6 classes.
Step 3: Determine the width of each class by dividing the range by the number of classes:
Class width = Range / Number of classes
Class width = 59 / 6 = 9.83
Round the class width up to 10 to make it a convenient number.
Therefore, the class width is 10.
Step 4: Determine the lower limit of the first class. Choose a value that is equal to or less than the smallest data point.
Lower limit of first class = 30
Step 5: Create the frequency distribution table by counting how many data points are in each class:
| Class Interval | Frequency |
|:----:|:----:|
| 30 - 39 | 2 |
| 40 - 49 | 2 |
| 50 - 59 | 0 |
| 60 - 69 | 2 |
| 70 - 79 | 1 |
| 80 - 89 | 1 |
Step 6: Draw the histogram. On a horizontal axis, mark the class intervals. On the vertical axis, mark the frequency for each class. Draw vertical bars to represent the frequency in each class. Make the bars touch each other so that it shows a continuous distribution.
Here's the histogram of the given data:
```
Frequency
|
| x
| x
--------|----|----|----|----|---|---
30 40 50 60 70 80 90
| Class intervals |
```
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Why is Dexter’s claim incorrect? 8-4 Additional practice
By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.
What is pragmatics?This can be used to explain the part of linguistics that has to do with the use of language in its given context.
The use of pragmatics comes up in conversations, and implications of what is being said.
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Sara and her dad visit yo yo yogurt again this time the scale says that Sara has 14 ounces of vanilla yogurt in her cup
Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]
What will the Yogurt weigh?Mass is one of the principal quantities, which is related to the matter in the object
The main mass unit consists of 7 units of other than other units of mass such as quintals, tons, pounds, ounces:
Kilogram, kg
Hectogram, hg
Decagram, dag
gram, g
Decigram, dg
centigram, cg
milligrams, mg
Each unit descends then multiplied by 10, and if one unit increases then divided by 10
Fraction numbers are known as numerator and denominator
On a number line, fractions are expressed in points that lie between two integers
The general form of fractions is
[tex]\dfrac{a}{b}[/tex]
Mixed fractions consist of integers and ordinary fractions
A mixed number is a combination of a whole number and a fraction
Sara has 14 ounces of vanilla yogurt
Her father's yogurt weighs half of much, so her fathers have yogurt :
= 0.5 x 14 ounces
= 7 ounces
Total ounces of yogurt they buy
= 14 + 7 = 21 ounces
for 1 ounces (oz) the conversion = 0.0625 pounds(lbs)
So for 21 ounces there will be
= 21 x 0.0625
= 1.3125 pounds
if we express as a mixed number , it will be :
[tex]=\dfrac{13125}{10000}[/tex]
[tex]=1\dfrac{5}{16}[/tex]
Hence Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]
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If x = -3 and y = -5, what does 3x - 2y equal???
Step-by-step explanation:
3x-2y
3*(-3)-2*(-5)
-9+10
1
3(-3) - 2(-5)
-9 + 10
1
h(t) = t² – 2t
Evaluate h (x + 2)
Need help I’m reviewing for a final (will leave good review)
Answer:
h(x + 2) = x² + 2x
Step-by-step explanation:
The base function is :
⇒ h(t) = t² -- 2t
⇒ h(t) = t (t - 2)
Substitute x + 2 in place of t :
⇒ h(x + 2) = (x + 2) (x + 2 - 2)
⇒ h(x + 2) = (x + 2)(x)
⇒ h(x + 2) = x² + 2x
[tex]h(t) = t^2 -2t\\\\h(x+2) = (x+2)^2 - 2(x+2)\\\\~~~~~~~~~~~~=x^2 +4x + 4 -2x -4\\\\~~~~~~~~~~~~=x^2 +2x[/tex]
please help me i don't know what im doing
Answer:
y = 3x -4
Step-by-step explanation:
The two pairs of x and y values are used to find the slope of the line. That and one of the pairs is used to find the y-intercept. These values are put into the slope-intercept equation to give the equation of the line through the two points.
__
Each (x, y) pair represents a point on a graph. The slope-intercept equation for a line relates all the (x, y) pairs that lie on the line. That equation is ...
y = mx +b . . . . . . where m is the slope, and b is the y-intercept
slopeThe slope is the "steepness" of the line. It is positive when the line goes up to the right, and negative when the line goes down to the right. It is 0 for a horizontal line.
The slope is found from (x, y) pairs using the formula ...
m = (y2 -y1)/(x2 -x1) . . . . . . where (x1, y1) and (x2, y2) refer to different pairs
m = (8 -(-1))/(4 -1) = 9/3 = 3 . . . . using the (x, y) values from the table
y-interceptThe y-intercept (b) is the y-value where the line crosses the y-axis. It can be found by rearranging the slope-intercept equation shown above:
b = y - mx . . . . . . . for a line with slope m and a point (x, y) on the line
Using the first point listed in the table with the value of m we just found, we see that b is ...
b = -1 - 3(1) = -4 . . . . . . for (x, y) = (1, -1) and m = 3
equationNow that we have found m=3 and b=-4 for the points in the table, we can put these values in the slope-intercept equation:
y = mx +b
y = 3x -4 . . . . . equation of the relationship in the table
What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?
radius= 8 m
to find:the volume of the sphere
solution:[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times {8}^{3} [/tex]
[tex]v = 2144.66058 \: {m}^{3} [/tex]
[tex]v = 2144.7 \: {m}^{3} [/tex]
therefore, the volume of the given sphere is 2144.7 cubic meters.
[tex]\large\boxed{Formula: V= \frac{4}{3}\pi {r}^{3}}[/tex]
In this question the radius is given so we'll simply have to substitute the values and solve.
Let's solve!
Substitute the values according to the formula.
[tex]V= \frac{4}{3}\times\pi\times{8}^{3}[/tex]
Calculator value:
[tex]V= 2144.660585 \: {m}^{3}[/tex]
Now, we'll have to round off to the nearest tenth.
The value in hundredths place is greater than 5 so, we will have to round up which means, we'll have to add 1 to the tenths place.
Final answer:
[tex]\large\boxed{V= 2144.7 \: {m}^{3}}[/tex]
Hence, the volume of the given sphere is 2144.7 cubic meters.
For which inequality would x = 12 be a solution?
12 - x ≥ 4
x + 4 ≤ 12
12 x < 200
12 ÷ x > 12
Answer:
12x < 200
Step-by-step explanation:
12 - x ≥ 4
-x ≥ -8
x ≤ 8
12 is not a solution to this one.
x + 4 ≤ 12
x ≤ 8.
12 is not a solution to this one.
12 x < 200
x < 200/12
x < 16 2/3
12 is a solution.
Hcf of 520 and 1430 pls i want to check my answer
Answer: HCF=130
Step-by-step explanation:
Which of these strategies would eliminate a variable in the system of equations? 5x + 3y = 9
4x - 3y = 9 Choose all answers that apply: (Choice A) A Subtract the top equation from the bottom equation. (Choice B) B Add the equations. (Choice C) C Subtract the bottom equation from the top equation.
Answer:
(Choice B) Add the equations
Step-by-step explanation:
The equations that were given are:
[tex]5x + 3y = 9 \\ 4x - 3y = 9[/tex]
If we add the equequatiothen the y variable would be eliminated:
[tex] +3y + (-3y) = 0[/tex]
What is the length of the unknown leg of
the right triangle rounded to the nearest
tenth of a meter?
11 m
?
42.8 m
Answer:
The length of the unknown leg is 5.66 yards
Step-by-step explanation:
[tex]Hypotenuse^2=opposite^2-adjacent^2[/tex]
[tex]Hyp^2=opp^2+adj^2[/tex]
[tex]Hyp=\sqrt{42.8}[/tex] [tex]yards[/tex]
[tex]Opp=\sqrt{11}[/tex] [tex]yards[/tex]
[tex]Adj=?[/tex]
[tex]Adj^2=Hyp^2-opp^2[/tex]
[tex]=(\sqrt{42.8} )^2-(\sqrt{11} )^2[/tex]
[tex]=42.8-11[/tex]
[tex]=31.8[/tex] → [tex]32[/tex]
[tex]Adj^2=32[/tex]
[tex]Adj=\sqrt{32}[/tex]
= 5.66 yards
need this answered ASAP
type the correct answer in the box.
Mitten crabs are an invasive species in North America. A coastal ecosystem has a population of 320 mitten crabs. The population is predicted to increase by 50% per year. The population will reach an estimated 1,620 crabs in ___ years.
Answer:
10 1/8 years?
I hope this is right!
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
How much greater is TR(300) than TR(299)
Answer:
300
Step-by-step explanation:
TR(n)= n*(n+1)
2
TR(300)=300*(300+1)
2
TR(299)=299*(299+1)
2
45150-44850=300
One way to solve is to find TR(300) and TR(299) and then find the difference in between them.
(9x^2+5x^2+11x)+(-2x^3+9x-8x^2)
Answer:
First step is to remove those unnecessary brackets :[tex] \longrightarrow\tt \: 9 {x}^{3} + 5 {x}^{2} + 11x - 2 {x}^{3} + 9x - 8 {x}^{2} [/tex]
Combine the like terms :[tex] \longrightarrow \tt \: 9 {x}^{3} - 2 {x}^{3} + 5 {x}^{2} - 8 {x}^{2} + 11x + 9x[/tex]
[tex] \longrightarrow \boxed{\tt \: 7 {x}^{3} - 3 {x}^{2} + 20x}[/tex]
Our final answer is 7x^3 - 3x^2 + 20x .--------- HappY LearninG <3 --------