Answer:
3.3 cm
Step-by-step explanation:
Volume of a rectangular prism =Length X Width X Height
Volume of the cake batter [tex]=1848cm^3[/tex]
The cake pan is a right rectangular prism 20cm wide by 28cm long.
Therefore:
1848=20 X 28 X Depth
1848=560 X Depth
Depth=1848/560
Depth of the batter=3.3 cm
The batter is 3.3cm deep in the pan.
A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?
Which expression is equivalent to mn+z
Find the first four terms in the sequence an=15+6n.
A. 18, 12, 6, 0
B. 20, 26, 32, 38
C. 21, 27, 33, 39
D. 20, 14, 8, 2
The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
From the question, the equation to calculate the nth term is given which is
an=15+6n.
Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.
For the first term, a1
n = 1,
From the given equation, an=15+6n
∴ a1 = 15 + 6(1)
a1 = 15 + 6
a1 = 21
∴The first term is 21
For the second term, a2
n = 2,
From the given equation, an=15+6n
∴ a2 = 15 + 6(2)
a2 = 15 + 12
a2 = 27
∴The second term is 27
For the third term, a3
n = 3,
From the given equation, an=15+6n
∴ a3 = 15 + 6(3)
a3 = 15 + 18
a3 = 33
∴The third term is 33
For the fourth term, a4
n = 4,
From the given equation, an=15+6n
∴ a4 = 15 + 6(4)
a4 = 15 + 24
a4 = 39
∴The fourth term is 39
Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
Learn more on sequence here: https://brainly.com/question/24195209
A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?
Answer:
baseball my guy
Step-by-step explanation:QUICK MATHS
Answer: baseball is liked less
Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)
PLZ HELP! WILL MARK BRAINLIEST
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest.
1/x , x/8, 65%
x=
Answer:
4
Step-by-step explanation:
If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!
Answer:
x= 3
Step-by-step explanation:
1/3 = 33.3%. 3/8 = 37.5%. 65%
Hope this helps.
What
are the quotient and remainder of (5x^4+5x^2 +5)/(x^2-x+1)?
Answer:
Quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.
Step-by-step explanation:
Given: [tex]\frac{5x^4+5x^2+5}{x^2-x+1}[/tex]
To find: quotient and remainder
Solution:
In the given question,
Dividend = [tex]5x^4+5x^2+5[/tex]
Divisor = [tex]x^2-x+1[/tex]
[tex]\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)[/tex]
So, quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.
Solve for the missing side
Answer:
c
Step-by-step explanation:
Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment
Answer:
24%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
t = ???
P = 2,200
I = 528
r = 12%
528 = 2,200(t x 1)
t = 528/2,200
t = 0.24
t = 0.24 x 100 = 24%
You're welcome.
if the area of circle one is equal to the diameter of circle two what is the ratio of the area of circle two to the area of circle one
Answer:
0.7853981634
Step-by-step explanation:
it acually depends on the size of the circle. i asked google and they gave me that answer which is beloow "answer"
I'm not really looking for an exact answer, I'm more so looking for an explanation on how to do this.
I would have each block be 1/6 of a yard
You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so
1/2 = (1/2)*(3/3) = 3/6
1/3 = (1/3)*(2/2) = 2/6
The diagram below might help if you're still stuck on why I picked 1/6.
Can you pleasee help me with the Screenshot Below its Overdue.
Answer:
what grade is this its and your answer is
Step-by-step explanation:
13/5 63/1 A = X
Unit 5. 10) Please help. A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What is the volume of the pyramid?
Answer:
Volume of that pyramid:
V = Base area x Height
= (9 x 13) x 30
= 3510 ft3
Hope this helps!
:)
Answer:
Yes they're right, the correct answer is option 3.
The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?
answer:
82.0476 i think
Step-by-step explanation:
Answer:
82.04 dollars
i hope this was helpful
Step-by-step explanation:
Consider rectangle ABCD with diagonals BD and AC
intersecting at
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and 2 CED are vertical angles and equal
76
ZABE and 2 CBE are complementary angles,
BEC and CED are vertical angles,
-------
BEA and AED are supplementary angles
whose sum is 180°
O
BEC and
AED are adjacent angles,
Answer:
BEA and AED are supplementary angles whose sum is 180°
Step-by-step explanation:
complete question is:
Consider rectangle ABCD with diagonals BD and AC intersecting at E.
Which is true about the angle relationships in the rectangle? Check all that apply.
BEA and 2×CED are vertical angles and equal 76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles whose sum is 180° BEC and AED are adjacent angles,Answer:
it is abd
Step-by-step explanation:
What is 1200 milligrams converted into grams
Answer:
The answer is 1.2 grams.
Step-by-step explanation: So 1,000 milligrams is 1 gram. So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.
Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23
Answer:
Range: 9
Mode: 23
Median: 25.5
Mean: 26.1
Step-by-step explanation:
Arrange the data set from least to greatest.
22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31
Range: Highest value - Lowest value =
Mode: The most number listed in the data set, or the listed numbers
Median: The middle number
Mean: finding the average of the data set
Range: 31 - 22 = 9
Mode: 23
Median: 25 + 26 = 51/2 = 25.5
Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1
The position of a ball after it is kicked can be determined by using the function f left parenthesis x right parenthesis equals negative 0.11 x squared plus 2.2 x plus 1f(x)=−0.11x2+2.2x+1, where f(x) is the height, in feet, above the ground and x is the horizontal distance, in feet, of the ball from the point at which it was kicked. What is the height of the ball when it is kicked? What is the highest point of the ball in the air?
Answer:
When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.
Step-by-step explanation:
We are given that the height is given by [tex]f(x)=-0.11x^2+2.2x+1[/tex]. The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1 = 1.
To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that
[tex] x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}[/tex].
In this scenario, the highest/lowest points is [tex]c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise).
Then, we can proceed as follows.
[tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1[/tex]
We will complete the square for [tex]x^2-20x[/tex]. In this case b=-20, so
[tex] f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1[/tex]
We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then
[tex] f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12[/tex]
So, the highest point in the ball's trajectory is 12 feet.
Answer:
Initial height = 1ft
Heighest height = 12ft
Step-by-step explanation:
In order to solve this problem, we can start by graphing the given height function. This will help us visualize the problem better and even directly finding the answers, since if you graph it correctly, you can directly find the desired values on the graph. (See attached picture)
So, the initical height happens when the x-value is equal to zero (starting point) so all we need to do there is substitute every x for zero so we get:
[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]
[tex]f(0)=-0.11(0)^{2}+2.2(0)+1[/tex]
which yields:
[tex]f(0)=1 [/tex]
so the height of the ball when it is kicked is 1 ft.
In order to find the highest point of the ball in the air, we must determine the x-value where this will happen and that can be found by calculating the vertex of the parabola. (see the graph)
the vertex is found by using the following formula:
[tex]x=-\frac{b}{2a}[/tex]
in order to find "a" and "b" we must compare the given function with the standard form of a quadratic function:
[tex]f(x)=ax^{2}+bx+c[/tex]
[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]
so:
a=-0.11
b=2.2
c=1
so the vertex formula will be:
[tex]x=-\frac{b}{2a}[/tex]
[tex]x=-\frac{2.2}{2(-0.11)}[/tex]
so we get that the highest point will happen when x=10ft
so the highest point will be:
[tex]f(10)=-0.11(10)^{2}+2.2(10)+1[/tex]
f(10)=12ft
so the highes point of the ball in the air will be (10,12) which means that the highest the ball will get is 12 ft.
a) -3 · x = -21
b) -7x + 16 = 2x - 20
help pls
A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?
21
45
90
Answer:
45
Step-by-step explanation:
The order in which the items are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many possible subsets of 2 items can be chosen from this lot?
Combinations of 2 from a set of 10. So
[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Answer:
45
Step-by-step explanation:
what is the answer to factorise 10x - 15
Answer:
5(2x-3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello :
10x-15 = 5(2x-3) ...the factor is : 5
If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters
Answer:
A = pi (15)^2
Step-by-step explanation:
The diameter is 30
The radius is 1/2 of the diameter
r = d/2 =30/2 = 15
The area of a circle is
A = pi r^2
A = pi (15)^2
A = 225 pi
Answer:B
Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.
Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.
Answer:
The value of radius is 7.5 units
Step-by-step explanation:
Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
Let a = 12 units,
Let b = 9 units,
Let c = hypo.,
[tex] {hypo.}^{2} = {12}^{2} + {9}^{2} [/tex]
[tex] {hypo.}^{2} = 225[/tex]
[tex]hypo. = \sqrt{225} [/tex]
[tex]hypo. = 15 \: \: units[/tex]
We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 15 \div 2[/tex]
[tex]radius = 7.5 \: \: units[/tex]
Answer: 7.5
Step-by-step explanation: Khan academy
solution of 4y - 2x < 8
a. (0,2)
b. (-4,0)
c. (1,2)
d. (10,7)
Answer:
A
Step-by-step explanation:
HELPPPPP I HAVE NO CLUE ON WHAT TO DO
Answer:
B 86
Step-by-step explanation:
ABCD = EFGH
A = E
B = F
C = G
D = H
329,444,000,777,234 in words
Step-by-step explanation:
Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four
Answer:
Look at the attachment
. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?
Answer:
The answer is .007874989
Step-by-step explanation:
Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?
Select all that apply.
Answer:
hexagonrectanglesquaretrianglepentagonStep-by-step explanation:
Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.
What polygons are possible?The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...
triangle, rectangle, square, pentagon, hexagon
__
The attachment shows some possibilities.
Which is equal
(please help asap!)
Answer:
B
Step-by-step explanation:
there
Determine which ordered pairs are also in the relation where the rise is -2, the run is
3, and (6,2) lies on the line.
a) (-9, -12) and (-6, 2)
b) (-3, 4) and (3,8)
c) (0,9) and (-2, 12)
d) (9,0) and (12, -2)
Answer:
idk
Step-by-step explanation:
idk :)
The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)
The Rise and Run of a LineThe rise of a line is the change in the y-values.The run of a line is the change in the x-values.The rise of the ordered pair, (9,0) and (12, -2):
Rise = change in y = -2 - 0 = -2.
The run of the ordered pair, (9,0) and (12, -2):
Run = change in x = 12 - 9 = 3.
Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)
Learn more about rise and run of a line on:
https://brainly.com/question/14043850
How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4
Answer:
D. 4
Step-by-step explanation:
If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.
I hope this helped and have a good rest of your day!
