Answer:
194.4
Step-by-step explanation:
V=l*w*h
V=12*4.5*3.6
V=194.4
Graph the function f(x) = 2√x +3.
The graph is shown in the attached image.
find the surface area of the triangular prism.
The surface area of the triangular prism is 93 squared feet.
What is the surface area of the triangular prism?
The surface area of triangular prism is expressed as;
S.A = bh + ( s₁ + s₂ + s₃ )H
From the diagram;
h = 2ftb or s₁ = 3fts₂ = 3fts₃ = 3ftH = 10ftWe substitute our given values into the equation above.
S.A = bh + ( s₁ + s₂ + s₃ )H
S.A = (3ft × 2ft) + ( 3ft + 3ft + 3ft )10ft
S.A = 3ft² + ( 9ft )10ft
S.A = 3ft² + 90ft²
S.A = 93ft²
The surface area of the triangular prism is 93 squared feet.
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can someone please help me with this
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.
Part A
The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.
Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only. Is there a way for the both of them to be correct? Explain your answer.
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
Create a graph of the polynomial function you selected from Question 2.
From the information given about the polynomial function, It is correct to state that there is a way for both of them to be correct. See the explanation below and the attached for the graph related to the second question.
What is the explanation for the above?A polynomial could only have a number of zeros equal to its degree. A third degree polynomial can thus have three zeroes, but Ray claims the polynomial has four Intercepts.
While the words "zeroes" and "intercepts" are sometimes used interchangeably, a zero is officially an x-intercept. A function can also have a y-intercept, therefore a cubic can have four intercepts in total, albeit only three will be zeroes.
The zeros of g(x)= x3-x2-4x+4 are -2,2, and 1. End behavior, the Y- intercept, the axis of symmetry, and the vertex are other important characteristics of polynomial functions.
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5. A 12-ounce jar of jam costs $2.40. A 16-ounce jar costs $4.00. What is the
difference in the cost per ounce?
$
per ounce
The difference in the cost per ounce is $0.05 per ounce
Fractions and proportionFractions are written as the ratio of two integers
If a 12-ounce jar of jam costs $2.40, the cost per ounce will be:
Unit cost = 2.40/12
Unit cost = $0.2
Similarly, if a 16-ounce jar costs $4.00, the price of a ounce will be:
Unit cost = 4/16
Unit cost. =$0.25
difference = $0.25 - $0.2
difference = $0.05
Hence the difference in the cost per ounce is $0.05 per ounce
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Which of the following are equations for the line shown below? Check all that
apply.
(-4,3)
(4,-5)
A. y=-x-1
B. y+ 5=-(x-4)
C. y-3 = -(x+4)
D. y=-x-9
Answer: A, B, C
Step-by-step explanation:
[tex]m=\frac{-5-3}{4-(-4)}=-1[/tex]
Substituting into point-slope form, we get [tex]y-3=-(x+4)[/tex] and [tex]y+5=-(x-4)[/tex]. Rearranging this into slope-intercept form,
[tex]y-3=-(x+4)\\\\y-3=-x-4\\\\y=-x+1[/tex]
I need help with this geometry question asap!
Answer:
A, D
Step-by-step explanation:
Lines are parallel if consecutive interior angles at a transversal are supplementary.
ApplicationIn the given figure, angles EAH and AED are consecutive interior angles associated with transversal AE. If they total 180°, then AC║EF.
Similarly, angles FCI and CFG are consecutive interior angles associated with transversal CF. If they total 180°, then AC║EF.
Either of these will prove AC║EF:
∠EAH +∠AED = 180°∠FCI +∠CFG = 180°The surface areas of two similar rectangular prisms Are 361m squared And 441m squared. What is the scale factor Of the larger prism to the smaller prism
The scale factor Of the larger prism to the smaller prism is 0.9
How to determine the scale factor?The given parameters are
Large area = 441
Small area = 361
Divide the small area by the large area
Small/Large = 361/441
Take the square root to determine the scale factor k
[tex]k = \sqrt{\frac{361}{441}[/tex]
Evaluate
k = 0.9
Hence, the scale factor Of the larger prism to the smaller prism is 0.9
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Graph the line. y = -1/5x-5 Both points y and x
Answer:
connect the dots (0, -5) and (5, -10).
Which of the following best describes the pattern in the diagram shown
below?
1
2
3
O A. As you move from left to right, the number of points in the star
decreases by 1.
O B. As you move from left to right, the number of points in the star
increases by 1.
C. As you move from left to right, the number of points in the star
remains the same.
OD. As you move from right to left, the number of points in the star
increases by 1.
As you move from left to right, the number of points in the star increases by 1 and is the best option which describes the diagram which is therefore denoted as option B.
What is a Point?This can be referred to an important object in geometry and is usually represented by a dot. It also helps to tell the exact location of substances or objects and doesn't have certain parameters such as the length or width.
We can deduce that Star 1 has four points, star 2 has five points and star 3 has six points. We can therefore infer that the stars in the diagram given below has some amount of points which increases by one as we move from left to right thereby making it the most appropriate choice in this type of scenario.
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A sweater is selling for ½ off the original
price. Which number is equivalent to
A 0.23
B 33.3%
C 6.6
D 66.6%
Answer:
Step-by-step explanation:
it would be D
A set of 3 pens costs $1.68. At that unit price, how much would one pen cost?
Answer:
$.56
Step-by-step explanation:
To find the cost of one pen, take the total cost and divide by the number of pens
$1.68/ 3
$.56 per pen
Melissa bought 42 pine seedlings and 30 juniper seedlings
to plant in rows on her tree farm. She wants each row to
have the same number of seedlings. She wants only one
type of seedling in each row. What is the greatest number of
seedlings she can plant in each row? How many rows of each
type
of tree will there be?
Answer:
See below
Step-by-step explanation:
GCF (greatest common factor ) of 42 and 30 is 6
each row will have 6 seedlings
there will be ( 42+30) / 6 = 12 rows
7 pine rows 5 juniper rows
I need a good answer, with a good explanation.
Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to play as many games as they can before running out of tokens.
Write an expression to represent the total number of tokens that Janie and Jasmine will need to play each of the three games at least once. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; p represent the number of games that require 4 tokens.
The expression to represent the information will be 2(2m + 3n + 4p)
How to illustrate the expression?From the information given, Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens.
There are m number of games required.
There are n number of games that require 3 token.
Therefore, the expression to represent the information will be:
= 2(2 × m) + 2(3 × n) + 2(4 × p)
= 2(2m + 3n + 4p)
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Answer:
The other person who answered is incorrect!! The real answer is 2m + 3n + 4p
Step-by-step explanation:
have a good besti!!!!
-leeknowishawt
Tell wether 3 is a solution of each inequality
x-7> -5; x = 3
-3x< - 12.5 ; x=3
Solve 15.9 = 11.3 + b for b
Answer:
subtract 11.3 from 15.9 and b is 4.6
Step-by-step explanation:
5-43-2
O (6,4)
-
O (3/2, 1)
2
3
Do,2 of Y is:
O (5, 4)
45
S
73
4
(3.2)
y
12 34
2
N
(4,0) X
(2,-2)
Answer:
(6, 4)
{second option given}
Step-by-step explanation:
we know that point y is (3, 2)
If we dilate this point by a factor of 2, we will get (6, 4)
why?
when we "dilate" something, we multiply both numbers of that point by a scale factor, we can see that this factor is 2--so we can multiply both 3
(3 ·2 = 6) and 2 (2 · 2 = 4) to get our new point, (6, 4)
hope this helps! have a lovely day :)
Find f(-3) for f(x) = 4(2)^x.
Answer:
1/2
Step-by-step explanation:
[tex]f( - 3) = 4 {(2)}^{ - 3} = \frac{1}{2} [/tex]
Use the following regression equation regarding airline tickets to answer the question.
Price = 49 + 0.137 · (Distance)
Note that Distance is the amount of kilometres between the departure and arrival cities, and Price is the cost of an airline
ticket.
Interpret the slope of the regression equation in the context of the data.
The interpretation of the slope is the price of an airline ticker per kilometer is 0.137
How to interpret the slope?The regression equation is given as:
Price = 49 + 0.137 · (Distance)
A regression equation is represented as
y = b + mx
Where m represents the slope
By comparison, we have
m = 0.137
Slopes are used to represent average rates
This means that the interpretation of the slope is the price of an airline ticker per kilometer is 0.137
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If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can be made from the following set of digits, find the probability that the one chosen is not a multiple of 5.
(0, 1, 2, 3, 4,5)
Answer:
5/25
Step-by-step explanation:
When a function is evaluated with a zero, it represents:
-the initial amount or starting point before a certain time.
-the initial amount or starting point.
-the initial amount or starting pint after a certain time
Answer: the initial amount or starting point.
Step-by-step explanation:
Explain the box and whisker plot in detail.
Based on the box and whisker plot shown above, we can infer and logically deduce that the number of lepilemures have a minimum at 0 but are well spread.
What is a box and whisker plot?A box and whisker plot is also referred to as boxplot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread. Also, the five-number summary include the following:
MinimumFirst quartileMedianThird quartileMaximumBy critically observing the box and whisker plot shown above, we can infer and logically deduce that the data (number of lepilemures) have a minimum at 0 but are well spread.
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Which function is graphed?
Answer: A
Step-by-step explanation:
The parabola has an open hole at x=3 and the line has a closed hole at x=3, so there should be [tex]x < 3[/tex] for the parabola and [tex]x \geq 3[/tex] for the line.
This eliminates all the options except for A.
Can someone walk me through this please?
say true false .
empty set is the subset of any set
Answer:
True. empty set is the subset of any set
Q1. A man wants to paint his house in 3 colors. If he can choose 3 colors out of 6 colors, how many
different color settings can he make?
(A) 216 (B) 20 (C) 18 (D) 120
The number of color settings he can make is 20
How to determine the number of color setting?The given parameters are
Colors, n = 6
Selected color, r = 3
The number of color setting is calculated as:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
This gives
[tex]^6C_3 = \frac{6!}{3!3!}[/tex]
Evaluate the expression
[tex]^6C_3 = 20[/tex]
Hence, the number of color settings he can make is 20
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what is the pattern 324,256,196,144
The pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.
What is a sequence?A sequence is a set of things next to each other in a set order. It is also referred to as a series.
According to this question, the following sequence is given: 324, 256, 196, 144. A careful observation of these numbers shows that each is the square of even numbers.
18² = 324
16² = 256
14² = 196
12² = 144
Therefore, the pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.
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If f(x)f(x) is an exponential function where f(3.5)=12f(3.5)=12 and f(9)=75f(9)=75, then find the value of f(7.5)f(7.5), to the nearest hundredth.
Using an exponential function, it is found that f(7.5) = 45.5.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the rate of change.For this problem, we have that f(3.5) = 12, then:
[tex]y = ab^x[/tex]
[tex]12 = ab^{3.5}[/tex]
[tex]a = \frac{12}{b^{3.5}}[/tex]
We also have that f(9) = 75, then:
[tex]y = ab^x[/tex]
[tex]75 = ab^9[/tex]
Since [tex]a = \frac{12}{b^{3.5}}[/tex]:
[tex]75 = \frac{12}{b^{3.5}} \times b^9[/tex]
[tex]b^{5.5} = \frac{75}{12}[/tex]
[tex]\sqrt[5.5]{b^{5.5}} = \sqrt[5.5]{\frac{75}{12}}[/tex]
[tex]b = \left(\frac{75}{12}\right)^{\frac{1}{5.5}[/tex]
b = 1.39542165
Then:
[tex]75 = ab^9[/tex]
[tex]a = \frac{75}{1.39542165^9}[/tex]
a = 3.7386
Hence:
[tex]y = 3.7386(1.39542165)^x[/tex]
When x = 7.5, we have that:
[tex]y = 3.7386(1.39542165)^{7.5} = 45.5[/tex]
Hence f(7.5) = 45.5.
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In Hawaii”s Kona iron man competition, Gretchen swims the first 7/8 of a mile in 70 minutes. At this pace, how many minutes will it take for Gretchen to swim the entire 2 2/5 mile course
It would Gretchen 192 minutes to swim the entire 2 2/5 mile course.
What is speed?
Speed is distance divided by the time taken to cover the distance.
In this case, we can determine distance covered in a minute by dividing the speed by the distance, which is distance of 7/8 mile(i.e. 0.825 mile) over the time take to cover the distance.
speed per minute=0.825/70
speed per minute=0.0125 mile/minute
With this, we can determine the time in minutes it would take to cover 2.4 miles(2/5=0.4)
0.0125=2.4/time
0.0125*time=2.4
time=2.4/0.0125
time=192 minutes
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Zendaya runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold. Define the variables that you use to write the system.
The number of pounds of blueberries and grapes sold are 11 and 22.
According to the statement
we have given that the:
Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25.
And total money collected by selling pounds is $55
And total number of pounds sells = 33
And we have to find the Number of pounds of blueberries and grapes.
Let the number of pounds of blueberries is X
And Let the number of pounds of grapes is Y
So,
The equation becomes is:
X + Y = 33 -(1)
2.50X + 1.25Y = 55 -(2)
Now, From substitution method
From (1) equation
Y = 33 - X
put these in equation (2) then
2.50X + 1.25(33 - X ) = 55
2.50X + 41.25 - 1.25X = 55
1.25X = 13.75
X = 11
and the the value of Y becomes
Y = 33 - X
Y = 33 - 11
Y = 22.
So, The number of pounds of blueberries and grapes sold are 11 and 22.
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