Answer:
I think it's A
Step-by-step explanation:
Please show work. What is the volume of the figure?
Answer:
Volume = 288 in.³
Step-by-step explanation:
Volume of the solid = volume of the cube + volume of the square pyramid
V = a³ + ⅓*a²*h
a = 6 in.
h = 12 - 6 = 6 in.
Plug in the values into the volume formula
Volume = 6³ + ⅓*6²*6
Volume = 216 + 72
Volume = 288 in.³
Pamela's age is three times Jiri's age. The sum of their ages is 28 . What is Jiri's age?
Answer:
So, if we say Jiri's age is j (we can pick any letter), then Pamela's age is 2j, right?
j + 2j = 72
j is the same as 1j, but we wouldn't call you 1James, just James.
3j = 72
To isolate j, we do the opposite operation to both sides.
3j/3 = 72/3
j/j = 1, so that cancels out. 72/3 = 24.
j = 24
Jiri is 24 years old.
Answer:
Jiri is 7 years old.
explanation:
3j + j = 28
4j = 28
4j/4 = 28/4
j = 7
this can be proven:
Pamela's age: 3×7 = 21
the sum of their ages = 28
7 + 21 = 28
How could you put that is a mathematic form??
evaluate 1/5×5/6×3/7×21×16
Answer:
24
Step-by-step explanation:
⅕×⅚×3/7×21×16
⅙×9×16 (Cancelling 5 by 5 and 21 by 3)
⅙×144
24
Answer:
24
Step-by-step explanation:
PLS PLS PLSSSSSSSSSSS
Answer:
20%decrease? id.k if its decrease or increase but its 20%
Step-by-step explanation:
graph the number that represents the situation on a number line. please help with this question i will mark you brainliest!
Answer:
OMGGGG OMGGG I NEEDTHIS QUESTION TOOOOOO
how do you do this equation?
Answer:
y = 2x + 2
Step-by-step explanation:
General point-slope form:
point = (x1,y1) = (1,4)
slope = m = 2
y-y1 = m(x-x1)
Substitute values
y - 4 = 2 (x-1)
y = 2x -2 + 4
y = 2x + 2
Nếu đồ thị của y=f(x) đi qua điểm (0,1), và dy/dx=xsin(x^2)/y, thì f(x)= ?
См. картинку во вложении, ответ отмечен красным цветом.
Applications and Reasoning:
4. Find the sum of: 300 + 301 + 302 + 303 + 304 + ... + 1239.
hope it helps you see the attachment for further information
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is
Answer:
b=-18
Step-by-step explanation:
If a line that passes through the point [tex]P(x_o,y_o)[/tex]and it has slope [tex]m[/tex], the equation of the line is:
[tex]y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18[/tex]
Answer:
-18
Step-by-step explanation:
7(5f-3n)-8 use n=3 and f=7
Answer:
174
Step-by-step explanation:
plug all of the variables in first
7(5(f) - 3(n)) - 8
7(35 - 9) - 8
7(26) - 8
182 - 8
174
Answer:
174
Step-by-step explanation:
7(5f-3n)-8
n=3 f=7
7(5*7 - 3*3) -8
Parentheses first
Multiply inside
7(35 - 9) -8
Subtract inside the parentheses
7(26) -8
Multiply
182-8
Subtract
174
Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities is:
Answer:
Probability[Number of 6 random sample do not have cavities] = 0.8
Step-by-step explanation:
Given:
Number of student do not have cavities = 60%
Number of random sample = 9 children
Find:
Probability[Number of 6 random sample do not have cavities]
Computation:
n = 9
p = 60% = 0.6
P(At least 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)
Probability[Number of 6 random sample do not have cavities] = 0.8
The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Sixty percent of all children in a school do not have cavities.
The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be
n = 9
p = 0.60
Then we have
[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Angles with sides that form two pairs of opposite rays are called
Angles with sides that form two pairs of opposite rays are called vertical angles.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Which of thw following is a result of shifting circle with!!
Answer:
I need more information to answer this
ASAP! find the inverse of the function y=2x^2+2
a.y=√x-2
b.y=√1/2x-1
c.y=√2x^2-4
d.y=√1/2x-1
Answer:
[tex]\displaystyle y=\sqrt{\frac{1}{2}x -1}[/tex]
Step-by-step explanation:
We want to find the inverse of the function:
[tex]y=2x^2+2[/tex]
To find the inverse of a function, we will flip the variables and solve for y. So:
[tex]x=2y^2+2[/tex]
Solve for y. Subtract two from both sides:
[tex]x-2=2y^2[/tex]
Divide both sides by two:
[tex]\displaystyle y^2=\frac{1}{2}x-1[/tex]
And take the principal square root of both sides. Therefore:
[tex]\displaystyle y=\sqrt{\frac{1}{2}x -1}[/tex]
Which inequality represents all values of x for which the product below is defined ?
Answer:
x ≥6
Step-by-step explanation:
Given the product:
√(x-6)*√(x+3)
The function has to be defined if x ≥0
Hence;
√(x-6)*√(x+3)≥0
Find the product
√(x-6)(x+3)≥0
Square both sides
(x-6)(x+3)≥0
x-6≥0 and x+3≥0
x≥0+6 and x ≥0 - 3
x ≥6 and x ≥-3
Hence the required inequality is x ≥6
Answer:
B. x>/ 6
Step-by-step explanation:
A P E X
A television costs $450. During a special sale, it’s marked 1⁄3 off. What’s the sale price of the TV?
Answer:
The sale price of the TV is $ 300.
Step-by-step explanation:
Given that a television costs $ 450, but during a special sale, it’s marked 1⁄3 off, to determine what’s the sale price of the TV the following calculation must be performed:
1/3 = 0.333
1 - 0.333 = 0.666
450 x 0.666 = X
300 = X
Therefore, the sale price of the TV is $ 300.
Solve the following proportion for u. (IN THE PICTURE)
round to the nearest TENTH.
Answer:
4.9
Step-by-step explanation:
Use the butterfly method.
13*13 = 8*u
39 = 8u
(divide by 8)
4.875 = u
4.875 is about 4.9
Answer:
4.875
Step-by-step explanation:
1. multiply 13 times 3 and then 8 times u
2. set equal to each other so you get 39=8u
3. divide both sides by 8 to isolate u
4. solve 39/8 which is 4.875
City planners will use 1/3 of a new park as a section for sports activities. Soccer fields will be 2/5 of the sports section. Which fraction of the entire park will be soccer fields? answer it please no links please 50 pionts!!!
Answer:
2/15
Step-by-step explanation:
Take the fractions of the park for sports and multiply the fraction of the sports that is for soccer. That will give the fraction of the park that is for soccer
1/3 * 2/5 = 2/15
HELP NO FILES PLEASE!!!
Answer:
5.6 = AC
Step-by-step explanation:
We know that the length of BD is congruent to the length of AC, therefore we can say:
BD ≅ AC
4.8 * 1.6 = 3.2 * x
7.68 ≅ 3.2x
7.68 / 3.2 ≅ x
2.4 = x
Therefore length of AC would be:
3.2 + x = AC
3.2 + 2.4 = AC
5.6 = AC
Hope this helps!
Which graph represents the function y = 2x - 4?
Please help
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the diameter is 40mm? Note: The volume of a sphere of radius, r, is given by V = (4/3)pi r^3
Answer:
The volume is increasing at a rate of 25,133 mm/s.
Step-by-step explanation:
Diameter is 40mm
Radius is half the diameter, so [tex]r = \frac{40}{2} = 20[/tex]
How fast is the volume increasing when the diameter is 40mm?
We have to apply implicit differentiation, of V and r in function of t. So
[tex]V = \frac{4}{3} \pi r^3[/tex]
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
The radius of a sphere is increasing at a rate of 5 mm/s.
This means that [tex]\frac{dr}{dt} = 5[/tex]
Then
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
[tex]\frac{dV}{dt} = 4\pi (20)^2(5)[/tex]
[tex]\frac{dV}{dt} = 25133[/tex]
The volume is increasing at a rate of 25,133 mm/s.
Round the following as specified. ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
153.3852
Step-by-step explanation:
one tens hundredths thousandths
so to round to the nearest thousandth you would look at the 9 to round the 1 to 2
Answer:
153.385
Step-by-step explanation:
Thousandths is the third place to the right of the decimal point.
There are no ones in decimals.
Help !!!!!!!!!!!!!!!!!!!!!!!
Answer:
<ADB = 75 degrees
Step-by-step explanation:
We know, a straight line has an angle of 180 degrees.
A = (180-143) = 37 degrees.
A + C = (37 + 38) = 75 degrees.
The angles of a triangle will always add up to 180 degrees.
<ADC = (180-75) = 105 degrees.
So,
<ADB = (180-105) = 75 degrees.
Hope, this will help. Please mark me brainliest.
Thank you.
I really need help plzz
Answer:
Karen owes the greatest amount.
Damian works after school. Each
day he earns a set amount, plus
an hourly wage, as shown in the
table Write a linear function i
that Damian can use to determine
his pay.
Answer:
f(x) = 12x = 10
Step-by-step explanation:
We need a linear equation in the slope-intercept form.
y = mx + b
where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value
Let's look in the table.
1 hour: $22
2 hours: $34
The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.
The difference in time between 1 hour and 2 hours is 1 hour.
In 1 hour he earns $12. That means the slope is 12.
We know he earns $22 for working a total of 1 hour.
Start at 1 hour and $22 on the table.
Subtract 1 hour from 1 hour to get 0 hours.
Subtract $12 form $22 to get $10.
That means for 0 hours he gets $10. b = 10
The equation is
y = 12x + 10
In function form, we have:
f(x) = 12x = 10
Here we want to find a linear relation with only using the data in a table, we will find that the line is:
[tex]y = 12\cdot x + 12[/tex]
We know that Damian's earns a set amount plus an hourly wage, then this can be modeled with a linear equation:
[tex]y = a\cdot x + b[/tex]
Where a is the slope, which in this case is the hourly wage, and b is the y-intercept, which in this case is the set amount.
Such that x is the number of hours and y is the pay.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) the slope can be given as:
[tex]a = \frac{x_2 - x_1}{y_2 - y_1}[/tex]
By looking at the table we can find two points of our line, for example, if we use the first and third points:
(1, 22) and (2, 34) then the slope will be:
[tex]a = \frac{34 - 22}{2 - 1} = 12[/tex]
Then the line is something like:
[tex]y = 12\cdot x + b[/tex]
To find the value of b, we can use one of the points, for example, the point (1, 22) means that when x = 1, we must have y = 22.
Replacing that in the above equation we have:
[tex]22 = 12\cdot1 + b\\\\22 = 12 + b\\\\22 - 12 = b = 12[/tex]
Then the equation of the line is:
[tex]y = 12\cdot x + 12[/tex]
If you want to learn more, you can read:
https://brainly.com/question/22901085
Austin picks 14 apples from the tree in his backyard. He gives his grandmother 6 apples to make a pie. Which number sentence shows how many apples Austin has left
Answer: Since he had fourteen, and he gave away six of them, he has eight left.
Step-by-step explanation:
The number sentence shows the number of apples Austin has left is 14 - 6 and equal to 8.
What is a number system?A way to express or represent numbers is through the number system.
The Number System includes any of the several sets of symbols and the rules for using them to represent numbers.
As per the given,
Total number of apples = 14
Number of apples that make a pie = 6
Left = 14 - 6 = 8
Hence "The number sentence shows the number of apples Austin has left is 14 - 6 and equal to 8".
For more about the number system,
https://brainly.com/question/22046046
#SPJ2
Think of 5 positive integers that have a mode of 4, a median of 8, a mean of 9 and a range of 12 what are the 5 integers
Answer:
{4, 4, 8, 13, 16}
Step-by-step explanation:
If we have a set of N numbers in order:
{x₁, x₂, ..., xₙ}
The median is the middle number of the set.
The mode is the value that is repeated more times in the set
The mean is computed as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the range is the difference between the largest value and the smallest value.
Here we want 5 positive integers, so we have something like:
{x₁, x₂, x₃, x₄, x₅}
We know that the median is 8.
Then the middle value, x₃, is equal to 8.
We also know that the mode is 4, then we can have the number 4 repeated two times, and because 4 is smaller than 8 and this must be in order, then we can have:
x₁ = x₂ = 4
Replacing these in the set we have:
{4, 4, 8, x₄, x₅}
Now we know that the range is 12, and this was the difference between the largest and smallest value.
We know that the smallest value is 4, and the largest value is x₅, then we will have:
x₅ - 4 = 12
x₅ = 12 + 4 = 16
Then our set is:
{4, 4, 8, x₄, 16}
Finally, we know that the mean is 9.
Remember that the equation for the mean is:
[tex]M = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]
Then we need to solve:
[tex]9 = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]
[tex]9*5 = 4 + 4 + 8 + x_4 + 16}[/tex]
[tex]45 = 32 + x_4[/tex]
[tex]45 - 32 = x_4 = 13[/tex]
Then the set of five positive integers is:
{4, 4, 8, 13, 16}
In a bag of marbles, 1/6 are green, 1/12 are yellow, 1/2 are white and 1/4 are blue. If someone
takes a marble from the bag without looking, which color is it most likely to be?
a. White
b. Blue
Absolutely blue have more chance to get because blue have more number of marbal than the white one ok
Which point is a good approximation of a turning point
of the graph?
0 (-1.5,3)
0 (-0.5, -1)
0 (0,0)
O (1.0)
Answer:
(-0.5, -1)
Step-by-step explanation:
A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising)