Answer:
38π cubic units
Step-by-step explanation:
The volume V = ∫₀²πy²dx
Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3
So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1
when x = 2, y = 3(2) + 1 = 6 + 1 = 7
So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have
V = ∫₀²πy²dx
V = π∫₁⁷y²dy/3
V = π[y³/3]₁⁷/3
V = π[y³]₁⁷/9
V = [7³ - 1³]π/9
V = [343 - 1]π/9
V = 342π/9
V = 38π cubic units
Which number sentence is true?
8 – 4= 11 – 8
13 – 6 = 6-1
6 – 5 = 7 – 6
Done
Answer:
6-5 = 7-6
Step-by-step explanation:
A cable repair person has 7.9 meters of wire. Suppose each meter of the wire weighs 3.2 ounces. Find the weight of the wire.
Name the angle and the intercepted arc.
Answer:
Inscribed angle = <X
Intercepted arc = arc VW
Step-by-step explanation:
The inscribed angle in a circle is usually formed inside a circle when two segments intersect at a point in the circle. While intercepted arc is the section of the circumference of the circle encased by the two segments that forms the inscribed angle.
Thus,
Inscribed angle = <X
Intercepted arc = arc VW
Find tan S and tan R. Write each answer as a fraction in simplest form
We know the trigonometric ratios that tan = opposite/adjacent So, tan S is equal to 15/8 and tan R is equal to 8/15.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
We know that tan = opposite/adjacent
tan S
opposite: 45
adjacent: 24
So,
tan S = 45/24 = 15/8
tan R
opposite: 24
adjacent: 45
So,
tan R = 24/45 = 8/15
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verify that cscθ cosθ tanθ =1
Answer:
TO VERIFY :-
[tex]\csc \theta \times \cos \theta \times \tan \theta = 1[/tex]GENERAL TRIGONOMETRIC FORMULAES :-
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex].[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex]SOLUTION :-
L.H.S. =
[tex]\csc \theta \times \cos \theta \times \sin \theta[/tex]
[tex]=> \frac{1}{\sin \theta} \times \cos \theta \times \frac{\sin \theta}{\cos \theta}[/tex]
[tex]=> \frac{\sin \theta \times \cos \theta}{\sin \theta \times \cos \theta}[/tex]
[tex]=> 1[/tex]
R.H.S. = 1
∴ L.H.S. = R.H.S. (Proved)
PLS HELP!!!
Using the Pythagorean theorem if necessary please round your answer to the nearest 10th
1. a=7 and b=10 find C the missing side length
2. b=12 and c=13 find A the missing side length
3. A=4 and b=10 find C the missing side length
Some red, white, and blue candies were placed in a bowl. Some contain nuts, and some do not. Suppose one of the candies were chosen randomly from all the candies in the bowl. According to the table below, if the candy is blue, what is the probability that it does not contain any nuts?
Answer:
c
sorry if I'm wrong.
ah ah ah ah ah
Answer: 40%
Step-by-step explanation:
I just did it
pls answer me this :(
Answer:
GIVEN :-
[tex]x = -\frac{1}{2}[/tex][tex]y = \frac{2}{4} = \frac{1}{2}[/tex][tex]z= -\frac{2}{8} = -\frac{1}{4}[/tex]TO VERIFY :-
[tex]x + (y + z) = (x + y) + z[/tex]SOLUTION :-
L.H.S. =
[tex]x+ (y + z)[/tex]
[tex]=> -\frac{1}{2} + (\frac{1}{2} + \frac{-1}{4} )[/tex]
[tex]=> -\frac{1}{2} + (\frac{2 - 1}{4} )[/tex]
[tex]=> -\frac{1}{2} + \frac{1}{4}[/tex]
[tex]=> \frac{-2 + 1}{4}[/tex]
[tex]=> -\frac{1}{4}[/tex]
R.H.S. =
[tex](-\frac{1}{2} + \frac{1}{2} ) + \frac{-1}{4}[/tex]
[tex]=> 0 - \frac{1}{4}[/tex]
[tex]=> -\frac{1}{4}[/tex]
∴ L.H.S. = R.H.S. (Verified)
Handy is making floor plan for a treehouse using a scale of 1 inch to 2 foot he wants to make the floor of the treehouse have a length of 8 foot how many inches should he show
Answer: [tex]4\ in.[/tex]
Step-by-step explanation:
Given
Handy uses a scale of 1 inch to 2 foot i.e. 1 inch of drawing represents 2 foot
For 8 foot length of tree house he draw x inch(say)
[tex]\therefore \ \dfrac{1\ \text{inch}}{2\ \text{foot}}=\dfrac{x}{8}\\\\\Rightarrow x=8\times \dfrac{1}{2}\\\Rightarrow x=4\ in.[/tex]
So, handy draw 4 inches.
Can someone help me please
it's sideways take a better pic
Help!!
The results of a survey are represented in the two-way frequency table below. Complete the two-way frequency table.
Answer:
Female, E-Book=22
Male, Print=20
Total Female=44
Print total=42
B. The sum of 3 and a number is -2, what is the number?
help me with this please (2)
Answer:
Step-by-step explanation:
surface are of triangular prism =(a+b+c)h+bh
=(5+5+4)11+4*6
=14*11+24
=154+24
=178 yd^2
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all I need is the answer
thank you
The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B
Answer:
Step-by-step explanation:
Hope this helps u!!
PLS HELP ILL GIVE BRAINLIEST
Answer:
answer is 8
Step-by-step explanation:
take Lcm of 8 and 32
Answer:
8
Step-by-step explanation:
Reduce the following fraction to simplest terms 24/3 12/3
A: 1/8
B:1/2
C: 4
D: 16
I got 16
Answer:
The simplest form of the fraction 24/3 is:
8/1 and the simplest form of the fraction 12/3 is:
4/1
Step-by-step explanation:
Hope this helps!
Steven earns extra money babysitting. He charges $31.00 for 4 hours and $46.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysit and y represent the amount he charges. The equation is y answer here
Answer:
y = 7.75x
Step-by-step explanation:
Steven earns extra money babysitting.
Step 1
Let us find the amount he earns per hour based on the charges given in the question.
a) He charges $31.00 for 4 hours
4 hours = $31
1 hour = x
Cross Multiply
4x = $31
x = $31/4
x = $7.75
b) And $46.50 for 6 hours.
6 hours = $46.50
1 hour = x
Cross Multiply
6x = $46.50
x = $46.50/6
x = $7.75
This means, Steven earns $7.75 per hour.
Step 2
Let
x represent the number of hours Steven babysit
y represent the amount he charges.
Therefore, an equation to represent the relationship is written as:
y = $7.75 × x
y = 7.75x
which function is graphed below????
Which type of function is shown in the table below?
х
f(x)
1
-4
2
-6
3
-8
ܠܛ
-10
5
-12
Not a function
O Linear
Submit Answer
Exponential
Quadratic
The table represents a linear equation, y = - 2x - 2.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From, The given table the list of ordered pairs are,
(1, - 4), (2, -6), (3, - 8), (4, - 10), and (5, - 12).
By observing the ordered pairs and patterns we can form an equation,
y = - 2x - 2.
If we put the values of 'x' the equation will satisfy the values of 'y'.
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Ace pool company sells portable spas as shown. The inside diameter of the spa is 2.5 m and the depth is 1.5 m. The sides and the bottom are each 10 cm thick.
a) Calculate the total amount of vinyl required for the spa (on both the interior and exterior)"
Step-by-step explanation:
the area of :
1) inside surface = (3.14× 1.25²)+(3.14×2.5×1.5)
= 4.90625 + 11.775 = 16.68125 m²
2) upper side surface= (3.14 × (1.35²-1.25²))
= 3.14× (1.8225-1.5625)= 3.14×0.26=0.8164m²
3) lateral surface= 3.14×2.7×1.6=13.5648m²
the total amount of vinyl required for the spa =
16.68125+0.8164+13.5648 = 31.06245 m²
△ABC∼△DEF . Find DF.DF.
Answer:
do the answer is 24
in the picture there's the steps
Answer:
Step-by-step explanation:
since they are similar triangle use this ratio
AB/DE=AC/DF
4/12=8/3(x+1)
do cross multiplication
12*8=3*4(x+1)
96=12(x+1)
96=12x+12
96-12=12x
84/12=x
7=x
substitute the value of x
3(x+1)
3(7+1)
3*8
24
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
the amount of plant food remaining in the container after each day’s feeding
the height of the plant over time
Ryan found that the amount of plant food remaining decreased an equal amount each day, and he used the entire 72 milliliters by the end of his study.Which statement is true about the relationship between the amount of plant food remaining and the number of days?
A:This relationship is a function because more than one amount of plant food remains each day.
B:This relationship is not a function because more than one amount of plant food remains each day.
C:This relationship is not a function because only one amount of plant food remains each day.
D:This relationship is a function because only one amount of plant food remains each day.
Answer:
B: This relationship is not a function because more than one amount of plant food remains each day
Step-by-step explanation:
It is given that Ryan did an experiment by observing the effects of plant food and the growth of the sprouting bean plant. He made a note of the height of the bean plant and the amount of food remaining in the container for the plant after feeding each day.
Thus he observed that the plant food in the container decreases by an equal amount everyday as the bean plant grew. Thus this states that it is not a function between the two as there are more than one plant food remaining each day for the plant.
A relationship is a function when one element belongs to one thing.
A square has a triangular hole in it. What is the area of the figure?
85 in 2
100 in 2
92.5 in 2
70 in 2
Answer:
B. 10 x 10 = 100. 5 x 3 / 2 = 7.5. 100 - 7.5 = 92.5
Step-by-step explanation:
Each day for two weeks, Howard recorded values for the following two
variables.
2
• s, the number of students ahead of him in the lunch line when he got in
line
• m, the number of minutes elapsed between when he got in line and when
he sat down to eat
He then plotted his data on a scatter plot, with the horizontal axis representing
s and the vertical axis representing m, and drew a line of best fit. The equation
of the line was m = S + 1.
According to the equation of the line, if there are 52 students ahead of Howard
when he gets in the lunch line, how many minutes should he expect it to take
before he sits down to eat?
Given statement solution is :- If there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.
According to the equation of the line given as "m = S + 1," where m represents the number of minutes elapsed and s represents the number of students ahead of Howard in the lunch line, we can substitute the value of s as 52 to find the expected number of minutes.
m = S + 1
m = 52 + 1
m = 53
Therefore, if there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.
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The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry
Answer:
16 ft.
Step-by-step explanation:
Distance Formula:
A = (2,2)
B = (12,14)
So, sqrt(12^2 + 10^2) = 16 ft.
This is the same for B to C.
So, 16 ft.
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Sue uses 1/3 cup of coconut oil in each pie that she makes for her mother's bakery. If Sue made 7 cakes, how much oil did Sue use in all? *
hey! i’ll give brainliest please help
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Answer:
x = 10% saline solution = 190 mililiters
y = 60% saline solution = 10 mililiters
Step-by-step explanation:
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Let
x = 10% saline solution
y = 60% saline solution
x + y = 200
x = 200 - y
10% × x + 60% × y = 200 × 12.5 %
Hence:.0.1x + 0.6y = 25
Substituting 200 - y for x
0.1(200 - y) + 0.6y = 25
20 - 0.1y + 0.6y = 25
- 0.1y + 0.6y = 25 - 20
0.5y = 5
y = 5/0.5
y = 10 milliliters
Solving for x
x = 200 - y
x = 200 - 10
x = 190 mililiters
The width of a box is x units.
The height of a box is 3 units.
The length of a box is (x + 10) units.
Which expression represents the volume of the box, in cubic units, when x > 0?
Answer:
3x² + 30x
Step-by-step explanation:
width of a box = x units.
height of a box = 3 units.
length of a box = (x + 10) units.
Volume of the box = length × width × height
= (x + 10) * x * 3
= (x + 10) * 3x
= 3x² + 30x
Volume of the box = 3x² + 30x