Answer:
320in^3
Step-by-step explanation:
V=lwh/3
V=(10)(8)(12)/3
V=960/3
V=320
For this case we have by definition, that the volume of a rectangular pyramid is given by:
[tex]V = \frac {a * b * h} {3}[/tex]
Where:
a, b: Are the sides of the rectangular base
h: It's the height of the pyramid
Substituting the values:
[tex]V = \frac {10 * 8 * 12} {3}\\V = \frac {960} {3}\\V = 320[/tex]
Thus, the volume of the pyramid is 320 cubic inches
Answer:
[tex]320 \ in ^ 3[/tex]
(-2.5)+(-4.5)=7 how to justify this?
Answer:
Negative + Negative = positive.
Positive + Positive= Negative
Negative + Positive= Negative
Step-by-step explanation:
What you solving is the first choice Negative + Negative = positive.
So positive is the answer of course!!!
Plz Mark Brainlistt!!!!! plzzzz
Answer:
False
Step-by-step explanation:
No solution. Incorrect equation. -2.5 -4.5 is = -7 which is NOT ≠ to 7
If X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters, what is the area of the object?
A.
28 square centimeters
B.
56 square centimeters
C.
36 square centimeters
D.
24 square centimeters
Answer:
56 square centimeters
Step-by-step explanation:
2*4 =8
8*7 =56
The total area is 36 square cm if the X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters option (C) is correct.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters
Here no other details have been provided, so we are assuming we have two rectangles dimensions for the first is 2×4, and for the second 4×7
Total area = 2×4 + 4×7 = 8+28 = 36 square cm
Thus, the total area is 36 square cm if the X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters
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given that (6,-3) is on the graph of f(x), find the corresponding point for the function f(1/3x)
Answer:
The corresponding point for the function [tex]f(\frac{1}{3}x)[/tex] is
(18, -3)
Step-by-step explanation:
By definition if we have a function f(x) and we apply the transformation:
[tex]y = f (hx)[/tex]
Then:
If [tex]0 <h <1[/tex] the graph is stretched horizontally by a factor [tex]\frac{1}{h}[/tex]
If [tex]h> 1[/tex] the graph is compressed horizontally by a factor [tex]\frac{1}{h}[/tex]
In this case [tex]h=\frac{1}{3}[/tex] this is [tex]0 <h <1[/tex] then the graph is stretched horizontally by a factor [tex]\frac{1}{\frac{1}{3}}=3[/tex]
Therefore the point (6, -3) that belongs to f(x), in the transformed function will be (3*6, -3) This is (18, -3)
Observe the example shown in the attached image
Plz help me with this
Answer: Equivalent
Step-by-step explanation:
When given a system of equations, the definitions of the solution are:
Consistent & Independent: exactly ONE solution (lines intersect)Consistent & Dependent: INFINITE solutions (same line)Inconsistent: NO solutions (parallel lines)In the given graph, the lines are the same, which means they have INFINITE solutions --> The system is Consistent & Dependent = Equivalent
Please I need help and no dumb answers please and explain please
a= 3
b=4
c=5
The Pythagorean Theorem.
a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9+16=25
25=25
✔
Step-by-step explanation:
Can someone please help me? Homework is due tom
Answer:
5 7/8
Step-by-step explanation:
12 3/4 = 12 6/8
1 3/8 = 1 3/8
5 1/2 = 5 4/8
1 3/8+5 4/8 = 6 7/8
12 6/8 = 11 14/8
11 14/8-6 7/8 = 5 7/8
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In 15 minutes Frankita created 15 drawings. In 30 minutes she created 17 drawings. In 45 minutes she created 20 drawings. In 60 minutes she created 24 drawings. If Frankita continues making drawings in the same pattern, how many total drawings will Frankita have created at the end of 90 minutes?
A. 19
B. 28
C. 33
D. 35
Answer:
D. 35
Step-by-step explanation:
the pattern followed by Frankita is:
15 min = 15 drawing
30 min = 17 drawing : increase by 2 (15+2 = 17)
45 min = 20 drawing : increase by 3 (17+3 = 20)
60 min = 24 drawing : increase by 4 (20+4 = 24)
75 min = 29 drawing : increase by 5 (24+5 = 29)
90 min = 35 drawing : increase by 6 (29+6 = 35)
2, 6, 18, 54,....
Find the common ratio of the given sequence, and write an exponential function which represents the sequence. Use n = 1, 2, 3, ...
A) 3; f(n) = 2(3)n-1
B)
1
3
; f(x) = 2(3)n-1
C) 3; f(n) = 2(
1
3
)n-1
D)
1
3
; f(n) = 2(
1
3
)n-1
Answer:
3; [tex]f(n)=2(3)^{n-1}[/tex]
Step-by-step explanation:
The given sequence is
2, 6, 18, 54,....
The first term is [tex]f(1)=2[/tex]
The common ratio is obtained expressing a subsequent term over a previous term.
The common ratio is [tex]r=\frac{6}{2} =3[/tex]
The the nth term of the sequence is given by:
[tex]f(n)=f(1)(r^{n-1})[/tex]
[tex]f(n)=2(3)^{n-1}[/tex]
The exponential function which represents the sequence is
[tex]f(n)=2(3)^{n-1}[/tex]
Answer:
A
Step-by-step explanation:
i got it correct on usatestprep
Pls help!!
complete the equations so that the solution of the equations is (-3,5)
y=__x-10
3x-__y=-19
Answer:
y=-5x-10
3x-2y=-19
We can actually see here that the completed equations are:
1. y = -5x - 10
2. 3x - 2y = -19
How we arrived at the solution?To find the missing values in the equations such that the solution is (-3, 5), we substitute the values of x = -3 and y = 5 into the equations and solve for the missing values.
For the equation y = x - 10:
Substituting x = -3 and y = 5:
5 = -3 - 10
5 = -3__ - 10
5 + 10 = -3__
15 = -3__
__ = -5
Therefore, the missing value is -5. The completed equation is:
y = -5x - 10
For the equation 3x - y = -19:
Substituting x = -3 and y = 5:
3(-3) - 5 = -19
-9 - 5 = -19
-9 + 19 = 5
10 = 5__
__ = 2
Therefore, the missing value is 2. The completed equation is:
3x - 2y = -19
The completed equations are:
y = -5x - 103x - 2y = -19When x = -3 and y = 5, both equations will have a solution of (-3, 5).
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In your own words, describe the process for solving a system of linear equations using the Substitution method.
Answer with explanation:
For any system of linear equations, we can use a method called substitution method for solving the equations.
We make one variable, from either of the equations, the subject of that equation and substitute it in the other equation.
This way, we get to find the value of the remaining variable and next we substitute this value in one of the equations to get the value of the variable left.
Final answer:
To solve linear equations using substitution, identify the unknowns, isolate a variable in one equation, substitute into the other to solve for one variable, then back-substitute to find the other variable and check the solutions for accuracy.
Explanation:
Solving Systems of Linear Equations Using Substitution
To solve a system of linear equations using the substitution method, one must follow a series of steps. Step one is to identify what needs to be determined, which in this case, is the values for the variables, known as the unknowns. In step two, find an equation in the system where one variable can be easily isolated. Next, in step three, express this isolated variable in terms of the other variable.
Once you have this expression, you move to step four, where you substitute this expression into the other equation in the system. This allows you to solve for the one remaining variable, eliminating the need for the original substituted variable. After finding this value, you proceed to step five and substitute it back into the expression from step three to find the value of the other variable.
Step six is an important verification step - checking the solutions. Substitute the values found for both variables back into the original equations to ensure that they satisfy both equations. If they do, you have found the solution to the system. If not, you need to review your steps to find any possible mistakes.
_ _ _cos b =1/2[sin(a+b)+sin(a-b)]
A) cos b
B) sin b
C) sin a
D) cos a
Answer:
sin a
Step-by-step explanation:
let the unknown term be x.
[tex]x.cos \: b = \frac{1}{2}(sin(a + b) + sin(a - b)) \\ or \: x = \frac{ \frac{1}{2} 2sinacosb}{cosb} \\ or \: x = sin \: a[/tex]
you have to remember that:
2sinAcosB=sin(A+B)+sin(A-B)
David bought a bag of caramel chocolates and chocolate truffles in the ratio of 4 : 6. If the bag holds 24 caramel chocolates, how many chocolates in all did the bag contain?
Answer:
the number of chocolates in the bag is 60 in total
Step-by-step explanation:
Answer:
60 chocolates in total
Explanation:
If the ratio of caramel chocolates to chocolate truffles is 4:6 and we know there are 24 caramel chocolates, we can create a proportion.(X is the amount of chocolate truffles)
4/24=6/x
Solve for x.
144=4x
X=36
Now that we know how many of each chocolate there is, we can calculate the total by adding them together.
36+24=60 chocolates in total
i neyd hlpe
4.8 ÷ 0.6
Answer:
8
Step-by-step explanation:
4.8/0.6
4.8/(3/5)
4.8 * 5/3 = 8
Answer:
8
Step-by-step explanation:
The answer is 8 because you just divide the two numbers..
2х - Зу = 16
5x - Зу = 13
Answer:
[-1, -6]
Step-by-step explanation:
Since both coefficients next to your y's are identical use the Elimination Method by multiplying one of the equations by -1 to form additive inverses, meaning they result in 0:
-1[{2x - 3y = 16}]↷
{5x - 3y = 13}
{-2x + 3y = -16
{5x - 3y = 13
----------------
3x = -3 [Divide by 3]
x = -1
y = -6 [plug in "-1" back into both equations to confirm their authenticities]
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the owner of a video arcade center asked his weekend customers to record their age on a piece of paper and put it in a fishbowl near the cash register. after each day, the owner prepared a box plot to represent the data he collected. what was the the median age of his customers on each day
The median is the number in the middle of a list of numbers
So the middle number on Saturday is 18, and the middle number on Sunday is 22. Your answer is D
Answer:
The Medians on this set of data are 18 on Saturday and 22 on Sunday
Step-by-step explanation:
The median on a set of data is the middle number that separates the lower half from the top half in a set. For us to be able to find the median in a set of numbers, the numbers must first always be arranged from least to greatest. Since the set in the picture is already sorted, we can easily see that the medians are the following,
Saturday: 18
Sunday: 22
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
PLEASE HELP!!!!!!!!!!!!!Lance is 5 feet tall. His shadow is 8 feet long. At the same time of day trees shadow is 32 feet long. What is the height of the tree in feet.
Answer:
20 ft
Step-by-step explanation:
The right triangles formed by Lance and his shadow and the tree and it's shadow are similar, hence the ratios of corresponding sides are equal.
Let the height of the tree be h, then
[tex]\frac{5}{h}[/tex] = [tex]\frac{8}{32}[/tex] = [tex]\frac{1}{4}[/tex]
cross- multiply to obtain
h = 5 × 4 = 20
The height of the tree is 20 ft
Answer:
20 feet
Step-by-step explanation:
5 feet Object = 8 feet shadow
8 feet shadow = 5 feet Object
8 feet shadow = 5 feet Object
1 foot shadow = 5 ÷ 8 = 5/8 foot object
1 foot shadow = 5/8 foot object
32 feet shadow = 5/8 x 32 = 20 feet object
CAN SOMEONE HELP ME ANSWER THIS
Answer:
The area of the triangle is 24 square feet.
Step-by-step explanation:
To find the area of the triangle you have to multiply the base and height, and then multiply the answer with 1/2.
First, multiply the base of the triangle, which is 8 feet, with the height of the triangle, which is 6 feet. Then your answer will be 48 and you can multiply that with 1/2, or divide it by two. The final answer will be 24 square feet.
Part A
Which of the following is an expression for a in terms of x?
Part B
What is the maximum area, in square feet, for the garden if 44 feet of fencing are used?
I really need help with this question. I am doing Algebra NJSLAM practice and I’m not sure how to do this problem.
the first choice is correct
The maximum area of the rectangle will be 242 square ft. The expression for a in terms of x will be 44 - 2x. Then the correct option is C.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
If the a, b, and x are 44 ft. Then the expression for a in terms of x will be
We know that b = x
Then we have
a + b + x = 44
a + 2x = 44
a = 44 - 2x
Then the area opf the rectangle will be
Area = (44 - 2x)x
Area = 44x - 2x²
For maximum area the value of x will be 11. Then we have
Area = 44 × 11 - 2 × 11²
Area = 242 square ft
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Marissa Palmer’s charge account statement showed a previous balance of $142.55, a finance charge of $2.82, new purchases of $86.50, and a payment of $80.00. What is her new balance?
Answer:
$151.87
Step-by-step explanation:
The new balance includes the previous balance, plus finance/interests charges, plus the new purchases, minus the payment(s).
So,
Previous balance: $142.55
+ Finance charge: $2.82
+ New purchases: $86.50
= Sub-total: $231.87
- Payment: $80.00
= New Balance: $151.87
Marissa Palmer's new balance after considering her previous balance, finance charge, new purchases, and payment is $151.87.
Explanation:To calculate Marissa Palmer's new balance on her charge account statement, we need to consider several components: the previous balance, finance charge, new purchases, and the payment she made. We start with her previous balance, add any finance charges, add the cost of new purchases, and then subtract any payments. Here's the step-by-step calculation:
Start with the previous balance of $142.55.Add the finance charge of $2.82 to the previous balance, yielding $145.37.Add new purchases of $86.50 to the total, resulting in $231.87.Subtract the payment of $80.00 to find the new balance.When we do the subtraction ($231.87 - $80.00), we find that her new balance is $151.87.
The total cost of 6 boxes of candy is $14.10. What is the average cost of one item?
The average cost of one box of candy is 2.35 per box
it’ll be $2.35 per box
How to find the answer:
14.10 divided by 6 = 2.35
Anne bought 3 hats for $19.50. which equation could be used to find the cost of each equation?
Answer:
19.50x 3 or 19.50+19.50+19.50
Step-by-step explanation:
You could either multiply it or divide!
Hope I helped!!
:)
Use substitution to solve the linear system of equations.
y = x - 2
2x + 4 = y
1. (-6,8)
2. (6,8)
3. (-6,-8)
4 .(6,-8)
Answer:
3.(-6,-8)
Step-by-step explanation:
y=x-2
2x+4=y
x-2=2x+4
x=2x+6
-x=6
x=-6
y=-6-2
y=-8
Step 1: Wherever you see a y in the equation: 2x + 4 = y insert x - 2
2x + 4 = x - 2
Step 2: Combine like terms
x's go with x's. To do this subtract the x from the right side to both sides
(2x - x) + 4 = (x - x) - 2
x + 4 = 0x - 2
x + 4 = -2
Normal numbers go with normal numbers (4 and -2). Bring the 4 to the right side by subtracting it to both sides
x + (4 - 4) = -2 - 4
x + 0 = -6
x = -6
Step 3: To solve y put -6 where you see an x in the equation: y = 2x + 4
y = 2(-6) + 4
y = -12 + 4
y = -8
(-6,-8)
Hope this helped!
I thought of a number. My number doubled is 20 bigger than 200. Find my number.
Answer:
110
Step-by-step explanation:
200+20=220
220/2=110
Answer:
110?
Step-by-step explanation:
because 110 times 2 is 220. and 220 is 20 bigger than 200.
Hey Guys! Im new here and hoping to really get to use this website! Hope you guys could answer my question!
The length of a rectangle is three centimeters less than the width. If the area of the rectangle is 54cm^2, find the dimensions of the rectangle.
Answer:
Width =9 cm
Length =6 cm
Step-by-step explanation:
Let x be width, then length is x − 3
Let area be E. Then we have: E = x ⋅ (x −3)
54= x^2-3x
x^2-3x-54=0
We then do the Discriminant of the equation:
D=9+216
D=225
X1=3+15 over 2. which is 9
X2= 3-15. over 2. which is -6 Which is declined, since we can't have negative width and length.
Therefore x is 9. So width
So width = x = 9cm and length is x-3 = 9-3cm=6 cm
Clay can run one lap around the track in 1/4 of an hour. How many hours will it take him to run 5 1/3 laps around the track?
The time it will take him to run 5 and 1/3 loops around the track is 4/3 hours.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Clay can run one lap around the track in 1/4 of an hour. The number of hours that takes him to run 5 and 1/3 laps around the track will be given as,
⇒ (5 + 1/3) x (1/4)
⇒ (16/3) x (1/4)
⇒ 4/3 hours
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how many angles measure 70 degrees
The answer is 3. A, D, and C are vertical angles and match to the angle marked 70 degrees.
41) Gabriella invests $8,193 in a retirement
account with a fixed annual interest rate of
8% compounded 6 times per year. What
will the account balance be after 18 years?
A) $31,340.53 B) $37,085.87
C) $34,252.67 D) $40,729.29
Answer:
Option C. [tex]\$34,252.67[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=18\ years\\ P=\$8,193\\ r=0.08\\n=6[/tex]
substitute in the formula above
[tex]A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67[/tex]
kendra is doing her math homework. For each problem, she uses 1/2 sheet of paper. how many sheet of paper does she need to complete 10 problem?
Answer:
5
Step-by-step explanation:
each problem takes 1/2 so 1 page fits 2 problems and 2 can go into 10 5 times
Answer:
5 sheets of paper
Step-by-step explanation:
if it only took her half a page to do one problem, then she could fit 10 problems on 5 pages since 1/2 of 10 is 5
i hope this helps :)
Find the value of x in the triangle shown below
Answer:
The answer is A. sq. root of 11
Step-by-step explanation:
Use a2+b2=c2
So, 25+b2=36
b2=11
b=sq root 11
Solve for u.
35 = u/2 + 12
THaNks :)
35-12=u/2
23=u/2
u=46
Answer
Answer:
The value of u is 46
Step-by-step explanation:
The given expression is;
[tex]35=\frac{u}{2} +12[/tex]
We multiply through by 2 to get;
[tex]2\times35=2\times \frac{u}{2} +12\times 2[/tex]
[tex]70=u +24[/tex]
Group similar terms to obtain;
[tex]70-24=u[/tex]
[tex]46=u[/tex]
The value of u is 46