Answer:
[tex]Area = 156in^2[/tex]
Step-by-step explanation:
Given
[tex]L = 6in[/tex] --- Base length
[tex]H = 10in[/tex] --- Slant height
Shape: Square Pyramid
Required
Determine the surface area
This is calculated using:
[tex]Area = L^2 +2LH[/tex]
So, we have:
[tex]Area = 6^2 + 2 * 6 * 10[/tex]
[tex]Area = 36 + 120[/tex]
[tex]Area = 156in^2[/tex]
Answer:
it is 156
Step-by-step explanation:
what is the ratio of these plz help
Step-by-step explanation:
1. Ratio(White to black) = 12 / [52 - 12]
Ratio(White to black) = 12 / [40]
Ratio(White to black) = 3 / 10 = 3:10
2. Ratio(Blue triangle to all) = 5 / [5+80]
Ratio(Blue triangle to all) = 5 / [85]
Ratio(Blue triangle to all) = 1 / 17 = 1:17
3. Ratio(Circle to all) = 76 / [22+76]
Ratio(Blue triangle to all) = 76 / [98]
Ratio(Blue triangle to all) = 38 / 49 = 38:49
4. Ratio(Yellow triangle to blue) = 18 / 14
Ratio(Yellow triangle to blue) = 9 / 7 = 9:7
5. Ratio(Yellow triangle to blue) = 42 / 6
Ratio(Yellow triangle to blue) = 7 / 1 = 7:1
6.Ratio(Boys to all) = 63 / [27 + 63]
Ratio(Boys to all) = 63 / 90
Ratio(Boys to all) = 7 / 9 = 7:9
3/18 of the teachers at Naran's school are math teachers, and 30 of the teachers are not math teachers. How many teachers are there at Naran's school?
Answer:
36 teachers total
Step-by-step explanation:
Simplify -3x + 2y + x - y
Answer:
-2x+y
Step-by-step explanation:
For the function f(x)=ax^3+bx^2-5x+9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
If
f(x) = ax ³ + bx ² - 5x + 9
then
f '(x) = 3ax ² + 2bx - 5
Given that f (-1) = 12 and f '(-1) = 3, we get the system of equations
-a + b + 5 + 9 = 12
3a - 2b - 5 = 3
or
-a + b = -2
3a - 2b = 8
Multiply through the first equation by 2 and add it to the second one to eliminate b and solve for a :
2(-a + b) + (3a - 2b) = 2(-2) + 8
-2a + 2b + 3a - 2b = -4 + 8
a = 4
Substitute this into the first equation above to solve for b :
-4 + b = -2
b = 2
Answer is a = 4, b = 2.
First derivative of an equation:
The derivative formula is one of the basic concepts used in calculus and the process of finding a derivative is known as differentiation. The derivative formula is defined for a variable 'x' having an exponent 'n'. The exponent 'n' can be an integer or a rational fraction. Hence, the formula to calculate the derivative is:
[tex]\frac{d}{dx} x^{n} = n x^{n-1}[/tex]
(Given)
[tex]f(x) = ax^{3} + bx^{2} - 5x + 9[/tex]
And f'(x) we get , [tex]f'(x) = 3ax^{2} + 2bx-5[/tex]
Now, also given f(-1) = 12
=> [tex]f(-1) =a (-1)^{3} + b(-1)^{2} - 5 (-1) + 9[/tex]
=> 12 = -a + b +5 + 9
=> a = b + 2 ------( 1 )
Also given, f'(-1) = 3.
i.e., [tex]3 = 3a(-1)^{2} + 2b(-1) - 5[/tex]
3 = 3a -2b -5
From eq - (1) we can replace a.
3 = 3(b + 2) - 2b - 5
3 = 3b + 6 - 2b - 5
b = 2.
a = 4.
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Guide
What are the zeros of the function f, where f(x) = 6x2 - 9x – 6?
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem to find the zeros of 6x² - 9x - 6.
x = [9±√(9²-4(6)(-6))]/[2(6)] = [9±√225]/12 = [9±15]/12 = 2, -½
Answer:
the answer is no one knows this answer is impossible to be succeeded by the human my and should be left un noted by the
Step-by-step explanation:
in conclusion ur figure it out ur self
help pls all the questions i dont get it :(
Answer:
A. The graph is not proportional, although it has a consistent slope, it does now go through the point of origin or (0,0). The equation of a proportional line is y=kx, so the y-intercept must be at (0,0).
B. Slope is found by [tex]\frac{rise}{run}[/tex], from 1 point to the next, the y-value (rise) increases by 2 and the x-value (run) increases by 1, [tex]\frac{4}{1} = 4[/tex] giving us a slope of 4.
C. The y-intercept is the lines point of intersection with the y-axis. In the graph, this point is (0,10).
D. y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept, the slope (m) is 4 and the y-intercept (b) is 10. y = 4x + 10
E. The equation is not proportional because the b value is 10 rather than 0.
Answer:
A. The graph is not proportional. I know this because the line doesn't go through the origin (0, 0). B. The slope (m) of the graph is 4. C. The y-intercept is 10. D. The equation in slope-intercept form is y=4x+10. E. The equation is not proportional. I know this because the line began from 10.
Step-by-step explanation:
The graph will be proportional when the line goes through the origin, (0, 0). The equation [tex]m=\frac{y2-x2}{y1-x1}[/tex] is used to solve for the slope (m). Pick any given points from the graph that's on the line to solve for slope (m). (0, 10) and (1, 14) makes it easier to solve for "m".
[tex]m=\frac{14-10}{1-0} =\frac{4}{1} =4[/tex] (4 is the slope)
Substitute x and y with any point given to find the y-intercept:
[tex]14=4(1)+b[/tex]
[tex]14=4+b[/tex]
[tex]-4[/tex] [tex]-4[/tex]
----------------
[tex]10=b[/tex]
*Note that the y-intercept is always (0, any number)
Example: (0, -24)
Once you know what the slope and the y-intercept are, you'll have the equation set as y=4x+10.
The area of a rectangular folder is 63 square inches. The folder is 7 inches wide. How long is
it?
*........* inches
Answer:
9 inches long
Step-by-step explanation: So, this is an area problem. We know that this is a rectangle. This means we use the equasion lw or length times width. We are missing the length so we can divide the area by the width. This is common in problems where you must find a missing number.
Pls help me with the question
solve the systems by elimination
-x+5y=17
x + 2y =11
they are both different equations but they are the same question
The table shows several points for function f(x).
A 2-column table with 8 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4, 6, 8, 10. Column 2 is labeled f (x) with entries 19, 15, 11, negative 6, negative 7, negative 8, negative 10, negative 14.
Which statement correctly identifies a point on the graph of f–1(x)?
A. The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).
B. The point (–2, 15) is on the graph of f(x), so the point (2, –15) will be on the graph of f–1(x).
C. The point (–4, 19) is on the graph of f(x), so the point (–4, –19) will be on the graph of f–1(x).
D. The point (10, –14) is on the graph of f(x), so the point (–14, 10) will be on the graph of f–1(x).
Answer:
The answer is D.
Step-by-step explanation:
Just took the test. Got 100%.
Find two numbers the quotient is between. Then estimate the quotient.
250 ÷ 4
Multiply 4 by multiples of 10 to estimate the quotient. The quotient is between
and
.
The estimate for the quotient is
.
Answer: 250
Step-by-step explanation: 250 divided by 4 multiply 4 equals 250
????????????????????
Answer:
I'm pretty sure its 28 cubic inches
Any help would be appreciated, No links please. Thank you
Answer:
C
Step-by-step explanation:
I already did this. ;)
31% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
Answer:
a) 0.222
b) 0.643
c) 0.811
Step-by-step explanation:
Baseball Games
y
22
20
18
16
14
Number of
Games
Won
12
10
8
6
4.
2.
Х
0
2
2
4
6
8
8
10
12
Number of Months of Practice
Part A: What is the approximate y-intercept of the line of best fit and what
does it represent? (5 points)
Part B: Write the equation for the line of best fit in slope-intercept form and
use it to predict the number of games that could be won after 13 months of
practice. Show your work and include the points used to calculate the slope.
(5 points)
Help with this lesson. thank you for those who take the time to help me out.
Answer:
58 mi^2.
Step-by-step explanation:
We can split this up into 2 rectangles and 1 triangle.
Height of the triangle = 4 + 2 + (12-11)
= 7.
Total area
= 2*12 + 2*10 + 1/2 * 4 * height of the triangle
= 24 + 20 + 1/2 * 4 * 7
= 44 + 14
= 58 mi^2.
Solve for the other variable. (2 points: 1 point for the answer, 1 for showing the work)
4. Combine the two equations to eliminate one of the variables, and then solve for the other. (3 points: 1 for eliminating one variable, 1 for the answer, and 1 for showing your work)
Answer:
Step-by-step explanation:
The solution of the system is:
(x, y) = ( 5, 10)
We have the following system of equations:
12x + 6y = 120
4x + y = 30
Now, We have to solve by the method of elimination, we multiply the second equation by -3, then:
12x + 6y = 120___(1)
-12x - 3y = -90___(2)
Now, We add both the equations:
12x -12x + 6y - 3y = 120 -90
3y = 30
y = 10
We have to find the value of 'x":
4x + y = 340x + 10 = 30
4x = 30 - 10
x = 5
Thus, the solution of the system is:
(x, y) = ( 5, 10)
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Complete question is:
3. To combine the equations and solve for one of the variables, you need to eliminate the other variable. How can you change one equation so that one variable is eliminated when the two equations are added? Explain and write the new equation (The equations are 12x+6y=120 and 4x+y=30)
4. combine the two equations to eliminate one of the variables, and then solve for the other.
5. Solve for the other variable.
If you need more information to answer let me know. I’ll grant 30 points for answering all questions shown
Answer:
More info is needed to do this
I'll help you once that info is given
Answer:
needs more directions and info
Step-by-step explanation:
Which numbers are irrational?
Select each correct answer.
−144−−−√
10−−√
0.04−−−−√
12−−√
Answer:
10, 12
Step-by-step explanation:
which number line shows the solution of 5x - 25 < -15
There are 15 seats on a bus . 6 persons
took the bus. In how many different ways can
these 6 persons sit ?
simply, they can set in many different ways
Solve showing all the steps
Answer:
Step-by-step explanation:
Is the second exponent 6, or 6x ?
If it is 6x, then x = -½
8 X 1 3/5 how to multiply a whole number by mixed number
Answer:
12 4/5
Step-by-step explanation:
Find square root : `7. 225
Answer and Step-by-step explanation:
The square root of 7.225 is:
[tex]\frac{17\sqrt{10} }{20}[/tex]
The square root of 225 is 15.
The square root of 7 is [tex]\sqrt{7}[/tex]
(Id.k which number is connect to or not, so I gave you these)
#teamtrees #PAW (Plant AND Water)
Assume that each child who is born is equally likely to be a boy or a girl.
If a family has two children, what is the probability that both are girls given that (a) the eldest is a girl, (b) at least one is a girl?
Answer:
b
Step-by-step explanation:
you see is equal it means that on might likely to be a boy
Find the area of the shape shown below.
Answer: 10
Step-by-step explanation:
To work out the area of this shape you have to split this into 1 square and 2 triangles.
The formula of the area of the triangle is base x height divided by 2
The first triangle on the left would be 2x2/2=2
The area of second triangle on the left is 4x2/2=4
The formula for the square is base x height.
Then to work out the area of the square you do 2x2=4
So, to work out the area of the whole shape you add all of the areas together.
2+4+4=10
Fatima opened a savings account with $7,500. She decided to deposit that same amount semiannually. This account earns 3.975% interest compounded semiannually. Exercises 5-7 are about Fatima's account. 5. What is the future value of the account after 10 years?
Answer:
A = $11117.25
Step-by-step explanation:
Given the following data;
Principal = $7,500
Interest rate = 3.975% = 3.975/100 = 0.03975
Number of times, n = 2
Time, t = 10 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 7500(1 + \frac{0.03975}{2})^{2*10}[/tex]
[tex] A = 7500(1 + 0.019875)^{20}[/tex]
[tex] A = 7500(1.019875)^{20}[/tex]
[tex] A = 7500(1.4823)[/tex]
A = $11117.25
Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What fraction of cookies are sugar cookies?
What is the area of the white shape?
Answer:
your awnser is 60m hope it helps
The height of a cylinder is 7 inches another cylinder with the same size base has double the volume what is the height of the second cylinder
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
need help geometry question
Answer:
okay the answer 13.02 enjoy