Answers
The maximum value of a graph is the point on the graph where the y-coordinate has the lasgest values. In other words, its the highest point on the graph. Then, the maximum value of the graph of the function is 225 feet, which corresponds to 3.75 seconds approximately:
Related Questions
Calculate the surface area in square feet of a box that measures 13 inches inlength, 10 inches in width, and 11 inches in height. The value of your answershould be square feet. Round you answer to the nearest hundredth and donot include units in your answer and write as a whole number
Answers
Given:
The dimensions of box are given as:
Length (l) of box (in inches) =
[tex]l=13[/tex]Width (w) of box (in inches) =
[tex]w=10[/tex]Height (h) of box (in inches) =
[tex]h=11[/tex]Required:
To find the surface area of the box.
Explanation:
Let us first convert the dimensions of box into feet.
Length (l) of box (in ft) =
[tex]l=1.08[/tex]Width (w) of box (in ft) =
[tex]w=0.83[/tex]Height (h) of box (in ft) =
[tex]h=0.92[/tex]Thus, the surface area (A) of the box is,
[tex]\begin{gathered} A=2lw+2lh+2wh \\ \Rightarrow A=(2\times1.08\times0.83)+(2\times1.08\times0.92)+(2\times0.83\times0.92) \\ \Rightarrow A=1.7928+1.9872+1.5272 \\ \Rightarrow A=5.3072 \\ \Rightarrow A=5.31 \end{gathered}[/tex]Final Answer:
The surface area (A) of the box (in sq. ft.) is,
[tex]A=5.31[/tex]
Find the perimeter of the parallelogram shown below504953
Answers
we have that
The perimeter of the given figure is equal to adds all the length sides of the figure
so
P=8+4+(8-2)+(9-4)+2+9
P=12+6+5+11
P=34 unitsDetermine the equation of the asymptote of the function.f(x) = -3 log2^x+4 -5
Answers
Solution:
Given the function:
[tex]f(x)=-3\log_2(x_+4)-5[/tex]To determine the equation of the asymptote, we first plot the graph of the function.
Thus, for various values of x and y, the graph of the function is shown below:
The asymptote is a line such that the distance between the graphed curve and the line approaches zero when the x or y coordinate approaches infinity.
In the above curve, the asymptote is at
[tex]x=-4[/tex]Hence, the equation of the asymptote is expressed as
[tex]x=-4[/tex]use the graph shown to answer the following questions all have form F(x) = ab^x
Answers
Given the graphs of functions that all have the form f(x) = a*(b)^x
We will answer the following questions:
Which graph has the largest value of b?
Fort he exponential functions as b increases the graph will be vertically compressed So, it will be more closes to the y-axis
As shown in the figure, the answer will be graph D
Which graph has the largest value of a?
We will answer the question using the y-intercept
So, when x = 0, the form equation will be: f(0) = a
So, the largest value of (a) will be the largest y-intercept
So, as shown the answer will be the graph C
Which graph has the smallest value of b?
The answer will be the graph F
Which graph has the largest value of a?
The answer will be the graph F
An exercise machine with an original price of $930 is on sale at 9% off.a. What is the discount amount?b. What is the exercise machine's sale price?
Answers
item a)
To find the discount amount we just need to calculate 9% of $930. To calculate 9% of something, is the same as multiplying by 9/100.
[tex]930\times\frac{9}{100}=83.7[/tex]The we have our answer. The discount amount is $83.7
item b)
To find the exercise machine's sale price we just need to subtract the discount from the original price.
[tex]930-83.7=846.3[/tex]Then, the sale price is $846.3
The data set below provides the monthly rent (in dollars) paid by 5 tenants.879, 920,940,950, 990Suppose the rent for one of the tenants changes from $940 to $1115.What is the mean before the rent changes?What is the mean after the rent changes?
Answers
Mean = (sum of all data )/ total number of variables( data)
• Mean before rent changes = ( 879+920+940+950+990) / 5
=4679/5
=$935.8
Mean after r
how do I solve the volume of this shape ? and how to draw the cross section of this shape?
Answers
ANSWER:
2160 cm^3
STEP-BY-STEP EXPLANATION:
To calculate the volume of the figure, we must divide it in two, the upper part would be a triangular prism and the lower part a quadrangular prism.
The volume of a prism in both cases is the area of the base of the figure multiplied by the length, therefore:
[tex]\begin{gathered} V_{\text{tri}}=A_b\cdot l=\frac{b\cdot h}{2}\cdot l=\frac{12\cdot(12-8)}{2}\cdot18=432cm^3 \\ \\ V_{\text{qua}}=A_b\cdot l=b\cdot h\cdot l=12\cdot8\cdot18=1728cm^3 \\ \\ V_T=V_{\text{tri}}+V_{\text{qua}}=432+1728=2160cm^3 \end{gathered}[/tex]The volume of the figure is 2160 cm^3
A cross section is a 2-dimensional "cut" in a 3-dimensional figure. Therefore, if it is vertical, the figure would be the base of the figure and if it is a horizontal cut, it would be a square.
X) = 3 f(x) х -1 27 0 1 24 2 3 12 17 16 15 14
Answers
(-1, 1/3), (0, 1), (1, 3), (2,9), (3,27)
1) Since we have a function, f(x) = 3^x and the values of x have already been given let's proceed with that
[tex]\begin{gathered} x|y \\ -1|3^{-1}=\frac{1}{3} \\ 0|3^0=1 \\ 1|3^1=3 \\ 2|3^2=9 \\ 3|3^3=27 \end{gathered}[/tex]2) So we have the following point to locate: (-1, 1/3), (0, 1), (1, 3), (2,9), (3,27)
3) Hence, the points are (-1, 1/3), (0, 1), (1, 3), (2,9), (3,27) and the y-coordinates to be inserted are 1/3, 1, 3, 9, 27
Notice that at point (-1, 1/3) 1/3 is written in its decimal form.
How many years would it be when the value of the boat is $40,000?
Answers
ANSWER
It will take 13 years.
EXPLANATION
First, we have to write the equation that represents the situation.
It is a depreciation, which means that it is a compound decrease.
Compound decrease is generally given as:
[tex]\begin{gathered} A=P(1-r)^t \\ A=\text{amount;} \\ P=\text{initial amount} \\ r=\text{rate} \\ t=\text{amount of time} \end{gathered}[/tex]Therefore, from the question:
[tex]\begin{gathered} A=95000(1-\frac{6.25}{100})^t=90000(1-0.0625)^t \\ A=95000(0.9375)^t \end{gathered}[/tex]To find the number of years after which the boat will have a value of $40,000, we have to find t when A is $40,000.
That is:
[tex]\begin{gathered} 40000=95000(0.9375)^t \\ \text{Divide both sides by 95000:} \\ \frac{40000}{95000}=0.9375^t \\ 0.42=0.9375^t \\ Find\text{ the log of both sides:} \\ \log (0.42)=\log (0.9375)^t=t\cdot\log (0.9375) \\ D\text{ivide both sides by log(0.9375)}\colon \\ t=\frac{\log(0.42)}{\log(0.9375)} \\ t\approx13\text{ years} \end{gathered}[/tex]It will babout 13 years for the value for the value of the car to be $40,000.
2.Which equation does not describe the line? Place the red X on the one that does not belong. X f(x) 7+ y-1= -(x - 6) f 6 (0,5) 5 4 y = -x + 5 (3, 3) 3 2 1 (6, 1) by - 5 = (x+0) X -4 3 2 -1 0 1 2 3 4 5 6 7 2+ y-3 = (x + 3) Cerrar sesión
Answers
Answer:
y - 3 = -(2/3)*(x + 3)
Explanation:
The equation that doesn't describe the line is the last one:
y - 3 = -(2/3)*(x + 3)
If we replace the x coordinates of the points in the line, we won't get the y coordinates.
So, for example, the point (0, 5):
If we replace x by 0, we get:
[tex]\begin{gathered} y-3=\frac{-2}{3}(0+3) \\ y-3=-\frac{2}{3}\cdot3 \\ y-3=-2 \\ y=-2+3 \\ y=1 \end{gathered}[/tex]Since 1 and 5 are distinct, this equation doesn't describe the line.
Therefore, the answer is:
y - 3 = -(2/3)*(x + 3)
what is 5×(67-94)-12
Answers
Given the following expression:
[tex]5\mleft(67-94\mright)-12[/tex]You can apply the steps shown below in order to find the result:
Step 1. You must solve the subtraction inside the parentheses (Since 94 is greater than 67 and it is also negative, the difference will be negative). Then:
[tex]=5(-27)-12[/tex]Step 2. Solve the multiplication, but first you must remember the following Sign rules for multiplication:
[tex]\begin{gathered} -_{}\cdot-=+ \\ +\cdot+=+ \\ -\cdot+=-_{} \\ +\cdot-=- \end{gathered}[/tex]Then:
[tex]=-135-12[/tex]Step 3. Since both numbers are negative, you must add them. The result will be negative too.
The result is:
[tex]=-147[/tex]GEOMETRY Express the area of each figure as a monomial. a. 10a3b4b. 12a2b4c. 12a3b4d. 24a3b4
Answers
Express the area of each figure as a monomial:
Area of a triangle = 1/2 x base x height
[tex]\begin{gathered} \text{base }=\text{ }4a^2b \\ height=6ab^3 \end{gathered}[/tex][tex]A=\frac{1}{2}bh[/tex][tex]\begin{gathered} A=\frac{1}{2}\times4a^2b\times6ab^3 \\ A=2a^2b\times6ab^3 \\ A=12a^3b^4 \end{gathered}[/tex]Therefore the area of the figure = 12a^3b^4
Hence the correct answer is option C
Find the center and radius of the following circle:(x-2)^2+(y+2)^2=25
Answers
We have that the general equation of the circle with radius r and center (h,k) is the following:
[tex](x-h)^2+(y-k)^2=r^2[/tex]in this case, we have the following equation:
[tex](x-2)^2+(y+2)^2=25[/tex]notice that we can write the equation also like this:
[tex](x-2)^2+(y-(-2))^2=(5)^2[/tex]notice the similarities with the general equation. We can see that the center is (h,k) = (2,-2) and the radius is r = 5
Consider Quadrilateral ABCD inscribed in circle E. If m A = 38x + 5°, and mC = 21x - 2. solve for x.
Answers
Answer:
x=3
Explanation:
Angles A and C are opposite angles of a cyclic quadrilateral.
Theorem:
Therefore:
[tex]\begin{gathered} m\angle A+m\angle C=180\degree \\ 38x+5\degree+21x-2=180\degree \end{gathered}[/tex]Next, solve the equation for x:
[tex]\begin{gathered} 38x+21x+5-2=180 \\ 59x+3=180 \\ 59x=180-3 \\ 59x=177 \\ x=\frac{177}{59} \\ x=3 \end{gathered}[/tex]The value of x is 3.
Find the volume of the prismif you couldn't see it say 8 units 2 units 5 units
Answers
The volume of the rectangular prism is
V = length x width x height
From the given figure
∵ The length = 8 units
∵ The width = 2 units
∵ The height = 5 units
Substitute them in the rule above
∴ V = 8 x 2 x 5
∴ V = 80 units^3
The volume of the prism is 80 units^3
And not congruent or is it congruent i’m really confused
Answers
Solution
The explanation is contained in the image below
xy=.8is this equation linear or nonlinear
Answers
We have the following equation given:
xy=8
And we need to check if is linear or not. In order to be linear we need to satisfy this
equation:
y= mx+b
If we solve for x from our equation we got:
y= 8/x
And we can see that not satisfy the general equation y=mx+b so then this equation is not linear
What are the variables in the following expression: 3z + 4x - 1 + 7y
Answers
The variables in an equation are referred to as the unknown. They are reprsented by letters or other symbols. looking at the given equation, the variables are
x, y, z
During the afternoon, I made three times as many Christmas cards as you did. If we made a total of 32 cards, how many cards did I make?
Answers
Given
total cards = 32
Person A made 3 times the cards B did
Find
cards A made
Explanation
Let the number of cards made by B = x
So according to question
A = 3x
Both made 32 cards
So
cards made by A + cards made by B = 32
x+3x=32
4x = 32
x = 8
Final Answer
Write the equation of the line that is equidistant from the points (-11, -8) and (-1, -2).Write the equation in slope-intercept form.
Answers
Answer:
[tex]y=-\frac{5}{3}x-8\frac{1}{3}[/tex]Explanation:
A line equidistant from the points (-11, -8) and (-1, -2) will be a line perpendicular to the given line.
Step 1: Find the midpoint of the line
[tex]\begin{gathered} M(x,y)=\mleft(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\mright) \\ =\mleft(\dfrac{-11+(-1)}{2},\dfrac{-8+(-2)}{2}\mright) \\ =(-\frac{12}{2},-\frac{10}{2}) \\ =(-6,-5) \end{gathered}[/tex]Step 2: Find the slope of the line:
[tex]\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{-2-(-8)_{}}{-1-(-11)} \\ =\frac{-2+8}{-1+11} \\ =\frac{6}{10} \\ m=\frac{3}{5} \end{gathered}[/tex]• Two lines are perpendicular if the product of their slopes is -1.
Since the new line is perpendicular, its slope will be:
[tex]n=-\frac{5}{3}[/tex]Step 3: Find the equation of the line
We are then to find the equation of a line passing through (-6,-5) with a slope of -5/3.
Using the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]We have:
[tex]\begin{gathered} y-(-5)=-\frac{5}{3}(x-(-2)) \\ y+5=-\frac{5}{3}(x+2) \\ y=-\frac{5}{3}(x+2)-5 \\ y=-\frac{5}{3}x-\frac{10}{3}-5 \\ y=-\frac{5}{3}x-8\frac{1}{3} \end{gathered}[/tex]The equation of the line equidistant from the points (given in slope-intercept form) is:
[tex]y=-\frac{5}{3}x-8\frac{1}{3}[/tex]Find the radius of a circle in which a 62.8° central angle cuts off an arc length of 18.4 centimeters.
Answers
radius=17.22 centimeters
Explanation
we can use the formula for length of an arc
[tex]l=2\pi\text{ r }(\frac{\Theta}{360})[/tex]where l is the length of the arc, r is the radius, and theta is the angle in degrees
then
Let
[tex]\begin{gathered} \Theta=62.8\~ \\ l=18.4 \end{gathered}[/tex]now, replace
[tex]\begin{gathered} l=2\pi\text{ r }(\frac{\Theta}{360}) \\ l=2\pi\text{ r }(\frac{62.8}{360}) \\ 18.4=2\pi r(0.17444) \\ 18.4=0.34\text{ }\pi\text{ r} \\ \text{divide both sides by 0.34 }\pi \\ \frac{18.4}{0.34\pi}=\frac{0.34\text{ }\pi\text{ r}}{0.34\pi} \\ 17.22=\text{radius} \end{gathered}[/tex]I hope this helps you
The measurement from the base of a tree to the tip of its shadow is 100 ft. The angle of inclination is 60°.Given:sin 60° = 0.866cos 60º = 0.5tan 60° = 1.732600*not drawn to scale100 ft
Answers
STEP 1
Interpret the question to make geometric sense of it.
We have a triangle as depicted in the diagram below.
STEP 2
Find the unknown:
h is the opposite in a right angled triangle
100ft is the adjacent
h can be gotten with the formulae below.
[tex]\tan \emptyset=\frac{opp}{\text{adj}}[/tex]This gives opposite to be
[tex]\begin{gathered} \text{Adj}\times\tan \emptyset\text{ where} \\ \emptyset=60\text{ deg} \end{gathered}[/tex][tex]\text{Opposite = 100}\times1.732=173.2\text{ ft}[/tex]Therefore, tree height = 173.2 ft
Find the equation of the line in slope intercept form that passes through the following points with the given slope. Simply your answer
Answers
Solution
Given:
Slope = -1
Point the line is passing through = (-2, 10)
The equation of the line can be calculated by the formula
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ Where\text{ \lparen x}_1,y_1)=(-2,10)\text{ and m = -1} \end{gathered}[/tex][tex]\begin{gathered} y-10=-1(x-(-2)) \\ y-10=-1(x+2) \\ y-10=-x-2 \\ y=-x-2+10 \\ y=-x+8 \end{gathered}[/tex]The equation of the line is y = -x + 8
What is the range if the functions for this situation ?
Answers
The domain is all the values that X can have
While the range is all th values that Y can ahave
What are the values for Y in the graph?
From 9 to 0 (including 9 nd 0, because it is a shaded dot)
So, the correct option would be B
Bill went to a baseball game . the game started at 9.50 am it was 3 hours 38 minutes long. when did the game end?
Answers
The game ends at 1.18pm
The game starts at 9.50 and continued till 3 hours 38 minutes long then the game ends by adding the hours utilized
9.50+3.38=12.78
In Standard time clock the time will be 1.18pm
Therefore the baseball game will end at 1.18pm
For further details about time and calculation kindly refer following link
https://brainly.com/question/26046491
I need to know the correct image which shows the transformation of the figure shown
Answers
The parent image was reflected across the y-axis.
Therefore, the correct option is Option A.
The formula for the volume of a sphere is apower function:What is the domain of the function in thissituation?All real numbersO r>_ 0Or<_ 0
Answers
Answer:
r>=0
Step-by-step explanation:
The volume of the sphere is given by:
[tex]V=\frac{4\pi r^3}{3}[/tex]
The domain is given by all possible input values of r, which is the radius.
Radius is the length of a segment on the sphere, which can never be negative.
So the domain is r>=0
If the line containing the points (-2,10) and (7,4) is dilated by a factor of 2, then the slope of the new line would be which of the following?
Answers
When the line segement is dilated , the resulting line is parallel to the original line. Know that the the slopes of parallel lines are equal. Therefore, the slope of the line passing through (-2,10) and (7,4) is equal to the slope of the new line .
Basically, we will just have to compute for the slope using the points (-2,10) and (7,4).
[tex]\begin{gathered} \text{slope, m = }\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{4-10}{7-(-2)}=\frac{-6}{9}=-\frac{2}{3} \end{gathered}[/tex]Need help confusing to me this Statistical mathematics for the 21st century solve the questions look kind of funky sorry
Answers
ANSWER:
A. Pages that include Chevrolet Corvette
STEP-BY-STEP EXPLANATION:
The logical conjunction has the property of adding mandatory conditions through the predicate applied to the subject. The conjunction is a compound proposition that results from combining two simple propositions with the word “and”.
So, in this case, it would be the intersection of the words Chevrolet AND Corvette.
Which means that the favored pages will be:
Pages that include Chevrolet Corvette
One side of a rectangle is 7 inches shorter than five times another side. Find the length of the longer side if we also know that the perimeter of the rectangle is 142 inches.
Answers
Answer:
58 inches
Explanation:
Let the length of the other side = y
One side of a rectangle is 7 inches shorter than five times another side.
• Therefore, the length of the other side = 5y-7
Given that the perimeter of the rectangle is 142 inches.
[tex]\begin{gathered} \text{Perimeter}=2(\text{Length}+\text{WIdth)} \\ \implies142=2(5y-7+y)_{} \end{gathered}[/tex]Next, solve for y.
[tex]\begin{gathered} \text{Divide both sides by 2} \\ \frac{142}{2}=6y-7 \\ 71=6y-7 \\ \text{Add 7 to both sides.} \\ 71_{}+7=6y-7+7 \\ 78=6y \\ \text{Divide both sides ny 6} \\ \frac{6y}{6}=\frac{78}{6} \\ y=13\text{ inches} \end{gathered}[/tex]Next, we find the other side length.
[tex]5y-7=5(13)-7=65-7=58\text{ inches}[/tex]The length of the longer side is 58 inches,
