Answer:
The amount of water is [tex]30,240in^3[/tex]Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism in the form of a bathtub.
Given data
depth of bathtub= 24 in
width of bathtub= 24 in
length of bathtub= 60 in
the volume of water in the bathtub is a function of the depth of water in relation with the dimension of the bathtub.
the depth of water is 3 in below the the top
hence the depth of water (24 in- 3 in)= 21 in
the expression for the volume of water is given as
[tex]volume= length* width*depth\\volume= 60*24*21=30,240in^3[/tex]
is it possible to make a quadrilateral with any four dots as corners?
Answer:
Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.
Step-by-step explanation:
Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!
So any other 4 sided shape that is quadrilateral could be made.
The picture below shows all branches of quadrilaterals.
Answer:
No
Step-by-step explanation:
No.
For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.
Answer: No
Find the first five terms of the geometric sequence a1=0.3,an=10an-1
Answer:
{0.3, 3, 30, 300, 3000}
Step-by-step explanation:
Here a(1) = 0.3, and
a(2) = 3, and
a(3) = 30, and
a(4) = 300, and
a(5) = 3000
The first term (given) is 0.3, and the common ratio is 10.
The price of gasoline increased 25% from July to August. If c = cost of gasoline in July, write two expressions that represent the price of gas in August. If you know the cost of gas in July, which expression do you think would be easier to use to calculate the cost of gas in August and why?
Answer:
Wrote it in the explanation :)
Step-by-step explanation:
Expression One: c + 25% = price of gas in august
Expression Two: c + 0.25 = price of gas in august
Expression Two would be easier to use if we knew "c" because the numbers are already in decimal form. If it were in percentage form, it would cause us an extra step to convert it into a decimal.
Please tell me if you have any further questions...
Hope this helped!!
Which statement about this figure is true?
a. it has rotational symmetry with an angle of rotation of 90°
b. it has no reflectional symmetry
c. it has reflectional symmetry with two lines of symmetry
d. it does not have symmetry point
Answer:
a. it has rotational symmetry with an angle of rotation of 90°
Step-by-step explanation:
can someone help me on these 2 questions?
7. x=20
8. x=19
Step-by-step explanation:
7. The shape is a parallelogram and the angles that are labeled are opposite from each other, meaning that they are congruent. So, 4x-40=2x (and solve)
8. Same case as last time (parallelogram), and the angles labeled are congruent. So, 2x+19=3x (and solve)
Given: HJ =4x+9, JK=3x+3
and KH=33
Find: x, HJ, and JK
X= BLANK?
HJ=BLANK?
JK=BLANK?
The value of x=3, length of HJ=21 and JK=12 can be found out using Segment Addition Postulate.
What is Segment Addition Postulate?
If B is between A and B, then AB +BC = AC
Find the values of x, HJ and JK
Given that, HJ=4x+9
JK=3x+3
KH=33
According to the Segment Addition Postulate, we can say that
HJ+JK=KH
4x+9+3x+3=33
(4x+3x)+(9+3)=33
7x+12=33
7x=33-12=21
x=3HJ=4x+9=4(3)+9
HJ=12+9=21
JK=3x+3=3(3)+3
JK=9+3=12
The value of x=3, length of HJ=21 and JK=12 .
Learn more about Segment Addition Postulate here:
brainly.com/question/22093187
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What is the value of m+(6n-1) when m=3 and n=1?
Answer:
8
Step-by-step explanation:
you do the brackets first so (6n-1) would be 6-1 which equals 5
now we have m=5, m is 3 so 3+5=8
will mark bianleast
Find the mean of the data in this set.
9.4
6
8.5
8
Answer:
The mean is 7.975.
Step-by-step explanation:
Answer:
The correct answer is 9.4, Hope this helps!
Step-by-step explanation:
I took the test and this was the correct answer!
The box plots show Devonte’s scores in Spanish and in French. Spanish 2 box plots. The number line goes from 50 to 100. For Spanish, the whiskers range from 55 to 95, and the box ranges from 60 to 85. A line divides the box at 70. For French, the whiskers range from 55 to 90, and the box ranges from 65 to 80. A line divides the box at 75. French Devonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s inference is correct? Devonte is correct because the range is greater for French. Devonte is correct because the interquartile range is less for French. Devonte is not correct because his highest grade is in Spanish. Devonte is not correct because the interquartile range is less for Spanish.
Answer:it's D i took the test.
Answer:
B
Step-by-step explanation:
i took the test
What is the solution of 3square root x+8 = -4?
• x=-72
• x=-66
• x=58
• no solution
Answer:
No solution
Step-by-step explanation:
I'd suggest you try to solve this first: 3√(x + 8) = 4. First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9. We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function. No solution.
If we now write 3√(x + 8) = -4 (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9. If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.
The solution for the given equation is 16.
The given equation is 3√x+8=-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The solution for the given equation can be determined as follows:
Now, 3√x+8=-4
⇒ 3√x=-4-8
⇒ 3√x=-12
⇒ √x=-12/3
⇒ √x=-4
Squaring both the sides, we get
x=16
Therefore, the solution for the given equation is 16.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the model to approximate the side of a square was f(x)= *square root sign* x-5+3 Use the model Sam created to predict the side length of the square when the area is 86.
6
12
81
144
Answer:
12
Step-by-step explanation:
f(x) = sqrt( x-5)+3
Let x = 86
f(86) = sqrt(86 -5) +3
f(86) = sqrt(81) +3
f(86) = 9+3
f(86) = 12
The side length is 12
Leticia is cutting a board to make a ramp for her skateboard. The ramp will slope from the ground up to a height of 4 feet. The board will make an angle of 25° with the ground. How long should she cut the board for her ramp? *
1 point
9.46 feet long
4.41 feet long
8.58 feet long
10 feet long
Answer:
Correct option: first one -> 9.46 feet long
Step-by-step explanation:
To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.
The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:
sin(25°) = height / length
0.4226 = 4 / length
length = 4 / 0.4226
length = 9.4652 feet
So the length of the board should be 9.46 feet (correct option: first one)
Which expression is equivalent to 2 (a + 3) when a = 3? 2 (3) 5 (3) 2 (3) + 3
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]2 (a + 3)[/tex]
[tex]a=3[/tex]
[tex]2(3+3)[/tex]
[tex]2(6)[/tex]
[tex]=12[/tex]
Answer:
2 (3) + 6
Step-by-step explanation:
2( a + 3) if (a = 3)
then now is 2( 3 + 3 )
3+3 = 6........6 times 2 = 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
❌: 2(3) = 2 x 3 = 6 ←← not 12
❌: 5(3) = 5 x 3 = 15 ←← not 12
❌: 2(3)+3 = 2 x 3 = 6.... 6 + 3 = 9 ←← not 12
✅: 2(3)+6 = 2 x 3 = 6.... 6 + 6 = 12 ←← its 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
have a good day!
please mark me brainlest..i need it ❤ இ௰இ ❤
help me plz asap ill mark u brainliest
Answer:
b
Step-by-step explanation:
this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2 and she did that 5 times
this means that the final answer 5 * ( 2 + 2 )
Given a = 4, b= -2 and c= 8, evaluate a - b - C.
-14
-6
0-2
Answer:
[tex]( - 2)[/tex]
Step-by-step explanation:
Given that
[tex]a = 4 \\ b = - 2 \\ c = 8[/tex]
Let's solve now
[tex]a - b - c[/tex]
[tex]4 - ( - 2) - 8 \\ 4 + 2 - 8 \\ 6 - 8 \\ - 2[/tex]
Given
a = 4b= -2 c= 8To find out:
Find the value of a - b - c ?
Solution:
a - b - c
Putting the value in the above
4 - ( - 2 ) - 8
4 + 2 - 8 [ - - = + ]
6 - 8
-2
Which is the graph of y?
Replace x with a number and solve for y. Plot the points out on a graph.
See the attached picture.
Rotate the image.
Verify the identity cosx cos(-x) - sinx sin(-x) =1
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
cos(x) cos(-x) - sin(x) sin(-x) = 1
Hint: | Cosine is an even function.
Use the identity cos(-x) = cos(x):
cos(x) cos(x) - sin(-x) sin(x) = ^?1
Hint: | Sine is an odd function.
Use the identity sin(-x) = -sin(x):
cos(x) cos(x) - -sin(x) sin(x) = ^?1
Hint: | Evaluate cos(x) cos(x).
cos(x) cos(x) = cos(x)^2:
cos(x)^2 - ( - sin(x) sin(x)) = ^?1
Hint: | Evaluate -(-sin(x)) sin(x).
-(-sin(x)) sin(x) = sin(x)^2:
cos(x)^2 + sin(x)^2 = ^?1
Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.
Substitute cos(x)^2 + sin(x)^2 = 1:
1 = ^?1
Hint: | Come to a conclusion.
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Select the correct answer from each drop-down menu.
Shape I is similar to shape II.
Answer:
Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"
Answer:
The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2
Step-by-step explanation:
How many triangles???
Answer:
4
Step-by-step explanation:
The triangle itself
Also the 3 at the top
They are the only ones with 3 sides
Answer:
9 triangles
Step-by-step explanation:
Which ordered pair lies on the function f(x) = x^2 + 3?
Question 7 options:
A)
(–1,–4)
B)
(1,–4)
C)
(–1,4)
D)
(–4,–1)
Answer:
c
Step-by-step explanation:
For this graph, Mark the statements that are true.
A worker needs to create a 4-character password. The worker can use alphabet as well
as number(0-9) and 4 special characters. How many outcomes are possible?
Answer: 2560000
Step-by-step explanation:
Given, A worker needs to create a 4-character password.
Worker can use :
Alphabets, numbers and 4 special characters
Total alphabets = 26
Total digits = 10
So, total characters he can use = 26(alphabets) + 10 (digits) +4 (special characters)
= 26+10+4 = 40
Since, there is no pattern or condition is provided to choose them.
So, the total possible outcomes to create a 4-character password. = [tex](\text{Total characters})^4=40^4=2560000[/tex]
Hence, the total possible outcomes = 2560000
the diameter of a circle is 5 ft. Find the circumference to the nearest tenth(urgent)
Answer:
15.71
Step-by-step explanation:
To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5
Put in circumference formula C=2πr
c=2 x 3.14 x 2.5
c= 2 x 7.85
c=15.7
Put the value into the circle circumference formula C=2πr
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it
in a mutual fund that increases the value of the original investment by 8% each year.
You must show all calculations to earn credit.
How much will her original investment be worth in 10 years?
Answer:
$9,000.00 is her original investment worth in 10 yrs.
5000 x 1.08 ^10 = 10794.6249864
Then subtract -500000 = 5794.62498636
Step-by-step explanation:
Why, because the first year is proved 5000 x 0.08 = 400
= 400 year 1 but cna keep only if stays in investment for 10 years
400 x 10 = 4000 interest on investment
5000+ 4000 = $9,000.00 SI
+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62
What is the explicit formula for the geometric sequence with this recursive formula?
Answer:
A
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
The recursive formula gives a term in the sequence by multiplying the previous term by r
Given the recursive formula
a₁ = - 6
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] ([tex]\frac{1}{4}[/tex] )
with r = [tex]\frac{1}{4}[/tex]
Then explicit formula is
[tex]a_{n}[/tex] = - 6[tex](\frac{1}{4}) ^{n-1}[/tex] → A
A taxi service charges a flat fee pen $1.25 and $0.75 per mile. If Henry has $14.00 which of the following shows the number of miles he can afford to ride in the taxi?
Answer:
A. M less than or equal to 17
Step-by-step explanation:
The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?
Answer:
13.35 millimeter. (About)
Step-by-step explanation:
To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:
πr²/2
So, if the radius is 8.5,
8.5 · 3.14 = 26.69
Now we divide it by 2.
26.69 = 13.345
Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.
Answer:
185.43 mm 2
Step-by-step explanation:
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Joshua has a rectangular vegetable garden with the dimensions shown below. If he doubles the length and width of the garden, how will the area of the new garden compare to the area of the original garden?
Which of the following has a prime factorization of 2 x 2 x 3 x 5?
Answer:
60
Step-by-step explanation:
Just multiply them all together.
2 * 2 * 3 * 5 = 60
Answer 60
Step-by-step explanation: 60 devided by 2 = 30
30 devided by 2 = 15
15 devided by 3 = 5
5 devided by 5 = 1
hence verified
18
What is the value of y?
10
2y + 4
10 + 2x
5
Step-by-step explanation:
8
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