The volume v of the described solid s = 8 cubic units .
Given : a parabola y = 4 - ( x ^ 2 )
Writing eq . y = 4 - ( x ^ 2 ) in terms of x ,
( x ^ 2 ) = 4 - y
x = ± [tex]\sqrt{4 - y}[/tex]
A ( y ) = ± [tex]\sqrt{4 - y}[/tex] * ( ± [tex]\sqrt{4 - y}[/tex] )
A ( y ) = 4 - y
Volume the given solid = [tex]\int\limits^4_0 {( 4 - y )} \, dy[/tex]
= 4 ( 4 ) - [ ( 4 ^ 2 ) / 2 ]
= 16 - 8
= 8
Hence , the volume v of the described solid s = 8 cubic units .
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(adding and subtracting with scientific notation mc) calculate (8.42 x 109) − (2.35 x 108).
The sum of the scientific notation is 8.655 * 10^9
Sum of scientific notationThe standard form of a scientific notation is expressed as A * 10^n
where
A is any value between 1 and 10
n is any integer
Given the expression below;
(8.42 x 10^9) + (2.35 x 10^8)
This can also be expressed as
(84.2 x 10^8) + (2.35 x 10^8)
(84.2+2.35) * 10^8
86.55 * 10^8
8.655 * 10^9
Hence the sum of the scientific notation is 8.655 * 10^9
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helpppp!!!!!!!!!!!!!!
Answer:
3075
Step-by-step explanation:
In the worst snowstorm in Milwaukee history, 8 inches of snow fell in 12 hours. What was
the unit rate of inches of snow per hour?
2
4 inches
11/3 inches
1/2 of an inch
2/3 of an inch
Music off
O
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Da
10:18 AM
12/11/2020
Answer:
2/3 inch
Step-by-step explanation:
12 divided by 8
I need help solving this for AP calculus.
Step-by-step explanation:
the derivative of the sum of terms in x is the same as the sum of the derivatives of the individual terms.
d/dx × (-4sin(x) + 9x) = d/dx × (-4sin(x)) + d/dx × (9x)
and also : the derivative of a term in x multiplied by a constant c is c × derivative of the term in x.
d/dx × (-4sin(x)) + d/dx × (9x) =
-4 × (d/dx × sin(x)) + 9 × (d/dx × x)
so, what is the derivative of sin(x) ? cos(x)
what is the derivative of x ? 1
so, we have as result :
-4cos(x) + 9
Clayton needs to reflect the triangle below across the line y = x. On a coordinate plane, triangle A B C has points (5.5, 7), (6, 2), (4, 4). Which statements about the reflection are true? Check all that apply.
Answer:
Clayton could use the relationship (x,y) - (y,x) to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures
Step-by-step explanation:
Clayton needs to reflect the triangle below across the line y=x
Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x,y) - (y,x) to find the points of the image.Clayton could negate both the x and y values in the points to find the points of the image.C’ will remain in the same location as C because it is on the line of reflection.C’ will move because all points move in a reflection.The image and the pre-image will be congruent triangles.The image and pre-image will not have the same orientation because reflections flip figures.
Solution:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of a figure over a line. If a point A(x, y) is reflected over the line y=x, the new location is A'(y, x).
If the triangle ABC with vertices A(5.5, 7), B(6, 2), C(4, 4) is reflected over the line y=x, the new location would be A'(7, 5.5), B'(2, 6) and C'(4, 4).
A. Clayton could use the relationship (x,y) - (y,x) to find the points of the image. Reflection across the line y = x is the swapping of the x and y coordinates. Option A is correct
B. Clayton could negate both the x and y values in the points to find the points of the image. Option B is wrong
C. C’ will remain in the same location as C because it is on the line of reflection. C is on the line of reflection, hence it remains the same. Option C is correct.
D. C’ will move because all points move in a reflection.
Option D is wrong.
E. The image and the pre-image will be congruent triangles.
Option E is correct. Reflection preserves the shape and length of an object.
F. The image and pre-image will not have the same orientation because reflections flip figures. Option F is correct
Answer:
A, C, E, F
Step-by-step explanation:
what is the answer to x(4x+1)
Answer:
4x^2+x
Step-by-step explanation:
(x)(4x+1)=(x)(4x)+(x)(1)
Hope this helped :)
Solve for x
5(x + 9) = -45
X =
O
Answer:
x =-18
Step-by-step explanation:
5(x + 9) = -45
Divide each side by 5
5/5(x + 9) = -45/5
x+9 = -9
Subtract 9 from each side
x+9-9 = -9 -9
x =-18
Answer:
The correct answer is x = -1.
Step-by-step explanation:
Step 1: 5(x + 9) = -45 <----- This is the original problem.
Step 2: 5(9x) = -45 <----- Add the variable.
Step 3: [tex]\frac{5(9x)}{5} = \frac{-45}{5}[/tex] <----- Divide both sides by 5.
Step 4: 9x = -9 <----- Simplify
Step 5: 9x/9 = -9/9 <----- Divide both sides by 9.
x = -1
Hope this helps! :D
i wil vote barinliest!! Plzz hurry as fast as possible...
On a coordinate plane, A line is drawn from point Fernando to point Maria. Fountain is labeled in between the 2. Fernando is at (negative 4, negative 2) and Maria is at (4, 2).
Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary.
( , )
Answer:
-1 , -0.5
Step-by-step explanation:
Edg
The other person is right. Give him/her credit.
A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).
What is the domain of the relation?
{x| x = –4 , 0, 1, 2}.
{x| x = –7, –6, 2, 3, 11}.
{y| y = –4, 0, 1, 2}.
{y| y = –7, –6, 2, 3, 11}.
The domain of the given relation (-6, 0), (2, 1), (-7, -4), (11, 2), (3, 2) is (A)
{x | x = -5, -3, 1, 2, 6}.
What do we mean by domain?The domain of a function is indeed the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.So, consider the diagram provided.
The left side of the graph represents the input (x) values, while the right side represents the output (y) values.The domain is the set of all possible input values.Consider the following figure, where the set of input values is:{x | x = -5, -3, 1, 2, 6}Therefore, the domain of the given relation (-6, 0), (2, 1), (-7, -4), (11, 2), (3, 2) is (A) {x | x = -5, -3, 1, 2, 6}.
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The correct question is given below:
A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).
What is the domain of the relation?
(Refer to the diagram for options)
I need help on this question.
Answer:
18
Step-by-step explanation:
60% of 50 is 0.60x50=30
40% of 30 is 0.40x30=12
30-12=18
So 60% of 50 is 18 greater than 40% of 30.
Caesar and Brutus are selling apple pie and lemon meringue pies for a school fundraiser. Caesar sold 5 apple pies and 2 lemon meringue pies for a total for $80. Brutus sold 3 apple pies and 6 lemon meringue for a total of $(0. What is the cost of one apple pie and one lemon merigue pie?
Answer:
Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75
Step-by-step explanation:
Let,
x be the cost of each apple pie
y be the cost of each lemon merigue pie
According to given statement;
5x+2y=80 Eqn 1
3x+6y=90 Eqn 2
Multiplying Eqn 1 by 3
3(5x+2y=80)
15x+6y=240 Eqn 3
Subtracting Eqn 2 from Eqn 3
(15x+6y)-(3x+6y)=240-90
15x+6y-3x-6y=150
12x=150
Dividing both sides by 12
[tex]\frac{12x}{12}=\frac{150}{12}\\x=12.50[/tex]
Putting x=12.50 in Eqn 1
5(12.50)+2y=80
62.50+2y=80
2y=80-62.50
2y=17.50
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{17.50}{2}\\y=8.75[/tex]
Hence,
Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75
Which rule describes the pattern in the table?
a 0 1 2 3 4
b 0 5 10 15 20
The value of b is 5 times the value of a.
The value of b is 5 less than the value of a.
The value of b is 5 more than the value of a.
The value of a is 5 times the value of b.
Answer:
The value of b is 5 times the value of a.
Step-by-step explanation:
The rule that describes the pattern in the table is that the value of b is 5 times the value of a.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The table shows two sets of values, a and b, where b is obtained by multiplying a by 5.
For example, when a = 1, b = 5, and when a = 2, b = 10.
This pattern continues throughout the table.
Therefore,
The rule that describes the pattern in the table is that the value of b is 5 times the value of a.
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Can someone help me with this math problem asap??
please answer correctly or I'll report it!
Answer:
13
Step-by-step explanation:
Like the previous problem, let's state what we know.
We know 4 and k = 17
so
4+k=17
Which means k=13
PLZ ANSWER CORRECTLY 1 2⁄6 ÷ 4 1⁄3
Answer:
0.30715935334
Step-by-step explanation:
8/6 ÷ 13/3
1.33÷ 4.33
0.30715935334
Answer:
4/13
Step-by-step explanation:
i know im 6 days late but i tried to find this answer but i got it wrong so 4/13 is the answer(im answering this incase if someone else is looking for the answer)
please help im about to get in trouble
The answer is by changing the values 0,4 3,6 6.8 9.10 make it 0,4 3,8 6,12 9,16
Step-by-step explanation:
I am just that smart
what are the coefficients of 4x -7 - 8x +17
i need help solving this problem
Answer:
I think 12 but I gave it a shot
Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0.2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural? 3.6 inches 18.2 inches 60 inches 90 inches
pls answer quick this is worth 65 points
Answer:
90 inches
Step-by-step explanation:
18 divided by 0.2 is 90
Answer:
D: 90 inches
Step-by-step explanation:
Got it right on edge!
PLEASE HELP ASAP......!!!!!!
Answer:
If you roll two dices, you can get as results all numbers from 2 to 12. Among these, the prime numbers are 2, 3, 5, 7, 11. The probability you get each of them is: 2: you can get it only as 1+1, so one combination over 36 possibility. Probability: 1/36. 3: you can get it as 1+2 or 2+1, so two combinations over 36 possibility. Probability: 2/36. 5: you can get it as 1+4, 2+3, 3+2, 4+1, so four combinations over 36 possibility. Probability: 4/36. 7: you can get as 1+6, 2+5, 3+4, 4+3, 5+2, 6+1, so six combinations over 36 possibility. Probability: 6/36. 11: you can get it as 5+6 or 6+5 so two combinations over 36 possibility. Probability: 2/36. The total probability of getting a prime number is the sum of the probabilities, which is 15/36. So m=15, n=36 and 10m+n=150+36=186.
Answer the question in photo [ Brainliest + easy points ]
Answer:
for This you have to find the value of x.
Step-by-step explanation:
just add both of them the equation formed will be
22x - 26 = 19x -17
so you can calculate x
which is x = 3
so put the value in 14x -15
so TU will be 27
if you have any doubt you can comment it.
thankyou .
Consider if each set of ordered pairs represents a function
Answer:
that'll be cool
Step-by-step explanation:
Can someone please help mee ? Will give brainlist
Answer:
I told my parents and x= 18
Step-by-step explanation:
PLS PLS PLS HELP!!!!
Answer:
40 quarts
Step-by-step explanation:
there are 4 quarts in a gallon
If f ( x ) = 2 x 2 - 4 x , what is the value of f(3)?
Answer:
-6
Step-by-step explanation:
Solve each inequality.
||x+4|-7|<5
||3x-1|+5|<1
The solutions for x are x < 16 and x < 7/ 3 respectively
What is absolute value?The absolute value of a real number can be defined as the non-negative value of that number without regard or consideration to its sign.
It is also described as the modulus of a number.
Given the inequality;
||x+4|-7|<5
Take the absolute value
x + 4 + 7 < 5
collect like terms
x < 5 + 4 + 7
Add like terms
x < 16
||3x-1|+5|<1
Take the absolute value
3x + 1 + 5 < 1
collect like terms
3x < 1 + 5 + 1
3x < 7
Make 'x' the subject
x < 7/ 3
Thus, the solutions for x are x < 16 and x < 7/ 3 respectively.
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HELP ASAP!!!
Which of the choices best describes this arithmetic sequence?
-2, 1,4,7, 10, ...
Answer:
1
Step-by-step explanation:
An arithmetic sequence is a sequence in which each term after the first is found by adding a comstant, called the common difference d, to the previous term. The set of positive odd numbers, 1, 3, 5, 7, ... , is a sequence. The first term, a1, is 1 and each term is 2 greater than the preceding term.
4x + 3 = x
someone pls help me
Answer:
x = -1
Step-by-step explanation:
4x + 3 = x
Subtract 4x to each side
4x -4x + 3 = x -4x
3 = -3x
Divide by -3 to both sides
3 ÷-3 = -3x ÷-3
-1 = x
x = -1 is your answer.
Have a lovely rest of your day! :)
I need a lot of help this is due in like 5 minute
Answer:
the slope is up 2 over 3 and the y intercept is -1
Step-by-step explanation:
Which equation can be used to find 40 percent of 25?
A. Start Fraction 25 divided by 1 Over 40 divided by 1 End Fraction = Start Fraction 25 Over 40 End Fraction
B. Start Fraction 100 times 4 Over 40 times 4 End Fraction = Start Fraction 400 Over 16 End Fraction
C. Start Fraction 40 times 4 Over 25 times 4 End Fraction = Start Fraction 160 Over 100 End Fraction
D. Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
Please help (❤´艸｀❤) What one is it?!?
Answer:
A
Step-by-step explanation:
The correct equation to find 40 percent of 25 is: D. Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
Let's go through each option and determine the correct equation step by step.
A. Start Fraction 25 divided by 1 Over 40 divided by 1 End Fraction = Start Fraction 25 Over 40 End Fraction
This equation represents the division of 25 by 40. However, we want to find 40 percent of 25, not divide 25 by 40. So, this equation is not the correct one.
B. Start Fraction 100 times 4 Over 40 times 4 End Fraction = Start Fraction 400 Over 16 End Fraction
In this equation, we multiply 100 by 4 and divide it by 40 multiplied by 4. Simplifying this expression, we get 400 divided by 16, which is equal to 25. This equation does not give us the value of 40 percent of 25, so it is not the correct one.
C. Start Fraction 40 times 4 Over 25 times 4 End Fraction = Start Fraction 160 Over 100 End Fraction
Here, we multiply 40 by 4 and divide it by 25 multiplied by 4. Simplifying this expression, we get 160 divided by 100, which is equal to 1.6. This equation does not give us the value of 40 percent of 25, so it is also not the correct one.
D. Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
In this equation, we divide 40 by 4 and divide 100 by 4. Simplifying this expression, we get 10 divided by 25, which is equal to 0.4. This equation represents 40 percent of 25, as 0.4 is equal to 40 percent when expressed as a decimal. Therefore, the correct equation is D.
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what is a better deal
$23 for 10 lb or $32.05 for 15 lb