A function, f left parenthesis x right parenthesis comma models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these describes why f left parenthesis x right parenthesis can be considered a linear function? I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount. II. The function grows by equal factors every minute. III. The slope of the function is constant.
Answer:
quiz let or brainy helps me just look up the chapter question and you will get the answer
Step-by-step explanation:
hope this helps
f(x) can be considered as a linear function because of the following conclusions -
1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.
2 → The slope of the function is constant.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is the following statement representing a function - f(x), that models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute.
Assume that we represent the depth of the water rate by [y] and the time in minutes by [m]. We can write the function f(x) as -
y = f(x) = 11m
This is a linear relation and its graph will be a straight line passing through origin.
From this equation, we can make the following conclusions -
1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.
2 → The slope of the function is constant.
Therefore, f(x) can be considered as a linear function because of the following conclusions -
1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.
2 → The slope of the function is constant.
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Select the correct answer. What is this expression in simplified form? (√22)(5√2) A. 10√11 B. 12√11 c. 20√11 D. 24√11
Answer:
A. 10[tex]\sqrt 11[/tex]
Step-by-step explanation:
Just took the test and got it right! Hope this helps!
The simplified form of expression is [tex]10\sqrt{11}[/tex].
What is an expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Given expression
[tex](\sqrt{22})(5\sqrt{2})[/tex]
= [tex](\sqrt{22} )(\sqrt{25}) (\sqrt{2} )[/tex]
The expression is in the form of [tex]\sqrt{x} .\sqrt{y} .\sqrt{z} =\sqrt{x.y.z}[/tex]
= [tex]\sqrt{22.(25).(2)}[/tex]
= [tex]\sqrt{11.(2).(25).(2)}[/tex]
= [tex]\sqrt{11.(100)}[/tex]
= [tex]\sqrt{100} .\sqrt{11}[/tex]
= [tex]10\sqrt{11}[/tex]
The simplified form of expression is [tex]10\sqrt{11}[/tex].
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An 18% commission on a video game sale is $63.81. How much is the video game?
Answer:
$11.49
Step-by-step explanation:
Tim ate 12 buffalo wings. Jeff ate 125% of the amount Tim ate. How many wings did Jeff eat?
Answer:
%50
Step-by-step explanation:
hope this helped luv!
solve for a 2a + ab = b
Which of the following is a true statement about the rhombus shown
Answer:
Option D is the correct answer
Step-by-step explanation:
Since, diagonals of a rhombus bisects at right angles.
[tex]\therefore m\angle STP = 90\degree \\ [/tex]
9514 1404 393
Answer:
D) m∠STP = 90°
Step-by-step explanation:
In general, the diagonals of a rhombus are different lengths and the corner angles are not 90°. (The exception in both cases is when the rhombus is a square.)
However, it is always true that the diagonals are perpendicular bisectors of each other, so all angles at T are 90°.
m∠STP = 90°
if a model of an airplane is 1/16 scale (1 in.= 16ft), how many inches long would the model be if a certain airplane were 48 ft long?
Answer:
3inchs
Step-by-step explanation:
So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3
9 1/12 = k/9 Solve for K
What description is correct for the polynomial 4x*2 + 3x -2
Answer:
it is a 2nd degree trinomial
Step-by-step explanation:
the highest power is the power two, and it has three parts
The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many seconds does it take light to travel from Sirius to Earth? Write your answer in scientific notation, rounded to the nearest hundredth.
Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per n seconds
- Need to solve for n
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
[tex]\frac{1.86 * 10^5}{1}[/tex] = [tex]\frac{5.062 * 10^1^3}{n}[/tex]
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
n × (1.86 × 10^5) = 5.062 × 10^13
4. Solve for n by isolating the variable and dividing.
[tex]\frac{n (1.86 * 10^5)}{1.86 * 10^5}[/tex] = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]
n = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]
n = 2.72 × 10^8 (Make sure to include the unit, seconds)
The number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].
Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.
We need to find out how many seconds it takes light to travel from Sirius to Earth.
What is scientific notation?To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.Let the number of seconds it takes light to travel from Sirius to Earth be n seconds
Now, the proportion=[tex]\frac{1.86\times10^{5}}{1} =\frac{5.062\times10^{13}}{n}[/tex]
⇒[tex]n=\frac{5.062\times10^{13}}{1.86\times10^{5}}[/tex]
⇒[tex]n=2.72\times10^{13-5}=2.72\times10^{8}[/tex]
Therefore, the number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].
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.
- 7(6 + d) = 49
Need help
Answer:
d=-13
Step-by-step explanation:
Let's solve your equation step-by-step.
−7(6+d)=49
Step 1: Simplify both sides of the equation.
−7(6+d)=49
(−7)(6)+(−7)(d)=49(Distribute)
−42+−7d=49
−7d−42=49
Step 2: Add 42 to both sides.
−7d−42+42=49+42
−7d=91
Step 3: Divide both sides by -7.
−7d−7=91−7
d=−13
Hope this helps have an amazing day :))
An evergreen tree is supported by a wire extending from 1.5 feet below the top of the tree to a stake in the ground. The wire is 24 feet long and forms a 58° angle with the ground. how tall is the tree?
Answer:
Approximately [tex]21.9\; \rm ft[/tex] (assumption: this tree is perpendicular to the ground.)
Step-by-step explanation:
Refer to the diagram attached (not drawn to scale.)
Label the following points:
[tex]\rm S[/tex]: stake in the ground.[tex]\rm A[/tex]: top of the tree.[tex]\rm B[/tex]: point where the wire is connected to the tree. [tex]\rm C[/tex]: point where the tree meets the ground.Segment [tex]\rm SB[/tex] would then denote the wire between the tree and the stake. The question states that the length of this segment would be [tex]24\; \rm ft[/tex]. Segment [tex]\rm AB[/tex] would represent the [tex]1.5\; \rm ft[/tex] between the top of this tree and the point where the wire was connected to the tree.
The question is asking for the height of this tree. That would correspond to the length of segment [tex]\rm AC[/tex].
If this tree is perpendicular to the ground, then [tex]\rm \angle A\hat{C}S =90^\circ[/tex]. Triangle [tex]\rm \triangle BCS[/tex] would be a right triangle with segment [tex]\rm SB[/tex] as the hypotenuse.
The question states that the angle between the wire (segment [tex]\rm SB[/tex]) and the ground (line [tex]\rm SC[/tex]) is [tex]58^\circ[/tex]. Therefore, [tex]\rm \angle A\hat{S}C = 58^\circ[/tex].
Notice, that in right triangle [tex]\rm \triangle BCS[/tex], segment [tex]\rm BC[/tex] is the side opposite to the angle [tex]\rm \angle B\hat{S}C = 58^\circ[/tex]. Therefore, the length of segment [tex]\rm BC\![/tex] could be found from the length of the hypotenuse (segment [tex]\rm SB[/tex]) and the cosine of angle [tex]\rm \angle B\hat{S}C = 58^\circ\![/tex].
[tex]\displaystyle \cos\left(\rm \angle B\hat{S}C\right) = \frac{\text{length of $\mathrm{BC}$}}{\text{length of $\mathrm{SB}$}} \quad \genfrac{}{}{0em}{}{\leftarrow\text{opposite}}{\leftarrow \text{hypotenuse}}[/tex].
Rearrange to obtain:
[tex]\begin{aligned}& \text{length of $\mathrm{BC}$} \\ &= (\text{length of $\mathrm{SB}$}) \cdot \cos\left(\angle \mathrm{B\hat{S}C}\right)\\ &= \left(24\; \rm ft\right) \cdot \cos\left(58^\circ\right) \approx 20.35\; \rm ft\end{aligned}[/tex].
In other words, the wire is connected to the tree at approximately [tex]20.3\; \rm ft[/tex] above the ground.
Combine that with the length of segment [tex]\rm AB[/tex] to find the height of the entire tree:
[tex]\begin{aligned}&\text{height of the tree} \\ &= \text{length of $\mathrm{AC}$} \\ &= \text{length of $\mathrm{AB}$} + \text{length of $\mathrm{BC}$}\\ &\approx 20.35\; \rm ft + 1.5\; \rm ft \\ &\approx 21.9\; \rm ft\end{aligned}[/tex].
The circle shown has a radius of 4 cm.
Not drawn
to scale
х
What is the length of the diameter of the circle?
cm
Answer:
8 cm
Step-by-step explanation:
4+4=8 To get the diameter, double the radius and add them together.
There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.
What is the ratio of all apples in the basket to red apples?
What is the ratio of green apples to red apples?
Answer:
7:13
5:8
Step-by-step explanation:
Do 13 minus 5 and that is number of red apples. So the ratio is 8 to 13 total apples. So there are 5 green apples and 8 red apples so it’s going to be 5:8
Solve the equation
1/2 k + 2 = 5 + 5/6 k
a. 2 1/4
b. -9
c. 9
d. -21
Please select the best answer from the choices provided
Answer:
1/2k+2=5+5/6k
-3 = 5/6k-1/2k
-3=2/6k
k= -9
Final Answer: [tex]k = -9[/tex]
Steps/Reasons/Explanation:
Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided.
[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]
[tex]b.[/tex] [tex]-9[/tex]
[tex]c.[/tex] [tex]9[/tex]
[tex]d.[/tex] [tex]-21[/tex]
Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].
[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]
Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].
[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]
Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).
[tex]3k + 12 = 30 + 5k[/tex]
Step 4: Subtract [tex]3k[/tex] from both sides.
[tex]12 = 30 + 5k - 3k[/tex]
Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].
[tex]12 = 30 + 2k[/tex]
Step 6: Subtract [tex]30[/tex] from both sides.
[tex]12 - 30 = 2k[/tex]
Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].
[tex]-18 = 2k[/tex]
Step 8: Divide both sides by [tex]2[/tex].
[tex]-\frac{18}{2} = k[/tex]
Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].
[tex]-9 = k[/tex]
Step 10: Switch sides.
[tex]k = -9[/tex]
~I hope I helped you :)~
which graph best models y>2x-4
Answer:the answer is the first graph
(0,-4) with a slope of 2
Step-by-step explanation:
25 yd. 4 in. Divided by 8
Answer:
113 inches or 3.13889 yards
Which statement is true? 7.11≤−7.1 7.11>−7.1 7.11<−7.1 7.11=−7.1
Answer:
7.11 > -7.1
Step-by-step explanation:
What is (8 - i) + (5 + 7i)?
O (A) 3 - 8i
O (B) 8i - 3
O (C)-5i
O (D) 13 + 61
Answer:
13 + 6i
Step-by-step explanation:
expand the brackets (basically drop them), then rearrange the numbers (8 + 5 + 7i - i) then you will get your answer.
There were 16 bald eagles in an area some years later there were 28 bald eagle‘s in the area what is the percent game
COLOR THEME
Q ZOOM
ADD NOTE
QUESTION GUIDES
3. An architect built a scale model of an office building using a scale in which
2.5 inches represents 20 feet. The height of the building is 240 feet.
12 in
What is the height of the scale model in inches?
30 in.
Ο Ο Ο Ο
80 in.
25 in.
CLEAR ALL
REVIEWS
NEXT >
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INTL 3.59
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Answer:
30 inches
Step-by-step explanation:
240/20=12
12x2.5=30
Answer:
30 inches jrjdbdbrbejjr
Solve the equation.
d-7 = -18
Answer:
d=-11
Step-by-step explanation:
Answer:
A) d = -11
Step-by-step explanation:
d - 7 = -18 (add 7 on both sides)
+7 +7
d = -11
Hope this helps!!!
John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?
Answer:25 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
3/12 as a present is 25%
what is square root of 22
Final Answer: [tex]4.69[/tex]
Steps/Reasons/Explanation:
Step 1: You will need to find the perfect square root of a number that is less than [tex]22[/tex]. So [tex]4^{2}[/tex] is [tex]16[/tex].
Step 2: Write down the square root of [tex]16 = 4[/tex].
Step 3: Solve [tex]\frac{22 - 16}{4 * 2}[/tex] which is [tex]0.75[/tex].
Step 4: Add [tex]4 + 0.75 = 4.75[/tex], so [tex]\sqrt{22}[/tex] is approximately ≈[tex]4.7[/tex].
~I hope I helped you :)~
Please be honest :( I’ll mark u please help
Jessica, Becky, Leah, and Heidi go to the movies. if the girls randomly sit next to one another, what is the probability that becky and leah will sit next to each other? how many total outcomes are there for the seating arrangements? what is the probability of the girls randomly sit that becky and leah will sit together? what is the probability that becky and leah will not sit together? 100 points will be given!
Answer:
24 total arrangements,
Step-by-step explanation:
thats all i know for this question, the rest are lost within my brain... somewhere
Slope from graph 2
Find the Slope!
Answer:
y= -4x+4
Step-by-step explanation:
so the slope is -4x
Answer:
5/2 is the slope
Step-by-step explanation:
Rise/Run= 5/2
so, slope=5/2
I just want ppl to check, extra points too!
Answer:
thats correct
Step-by-step explanation:
i had that on my test and i ot it right
In their first year, The Princess Bride earned $342,600,000 while Double-Take earned $670,900,000. What were their total earnings?
Answer:
1013500000
Step-by-step explanation:
Addition, mate.
it is 1,013,500,000
Step-by-step explanation:
what’s he length of side a? will give brianliest!!!