Answer: x= -7/8
Step-by-step explanation:
Hope it helps you
Write and solve a real-world problem that involves finding the volume of a rectangular or triangular prism
Answer:
l
Step-by-step explanation:
find the next two terms in this sequence
0.1, 0.02, 0.004, 0.0008, 0.00016 ___ ___
Answer:
0.000032 and 0.0000064
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.
What expression represents the profit?
27x – 650
27x + 390
33x – 650
33x + 390
The expression which represents the profit is 33x + 390, the correct option is D.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
The polynomial= 2x3 + 30x – 130
The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.
Now,
To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:
profit = revenue - cost
profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)
profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520
profit = 33x + 390
Therefore, the expression will be 33x + 390.
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Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
A. equal to
B. less than
C. greater than
Answer:
Option C.
Step-by-step explanation:
Answer:
C. greater than
Step-by-step explanation:
Since 8/7 is greater than 1
multiply it by 12 will result in a larger number.
Add the following numbers. 5 + (-12) =
Answer:
- 7
Step-by-step explanation:
5 + (- 12)
5 - 12
- 7
What is the value of 5 1/3 - 4 12
Help
Answer:
The answer is 5/6.
Step-by-step explanation:
If both the numbers are mixed then,
(5 1/3) - (4 1/2)
= {(3*5)+1}/3 - {(2*4)+1}/2
= (16/3) - (9/2)
= (32-27)/6
= 5/6
Hope this helps.
answer choices:
a. 122
b. 102
c. 138
d. 85
Answer:
option b
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360°.
That is,
120 + y + 85 + 53 = 360
y = 360 - 120 - 85 - 53
y = 102
Answer:
Option B is correct
Step-by-step explanation:
Hint :
Sum of angles in quadrilateral = 360°
Simplify :
[tex] {y}^{o} + {120}^{o} + {85}^{o} + {53}^{o} = {360}^{o} \\ {y}^{o} + {258}^{o} = {360}^{o} \\ {y}^{o} = {360}^{o} - {258}^{o} \\ {y}^{o} = {102}^{o} [/tex]
Hope it is helpful...what is the scale factor from figure a to figure b
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , B to A
The right vertical side of B is 2 units
The right vertical side of A is 4 units
scale factor = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
A diver was at 58m below sea level.The diver swam up 4m every 12 seconds. Where is the location of the diver after 2 minutes?
Answer:
18 metres below sea level.
Step-by-step explanation:
Since the diver swims up 4 metres every 12 seconds, that means the diver swims up 4 * (60/12) metres = 20 metres every minute. Therefore, he will have swum up 20 * 2 = 40 metres after 2 minutes. Factoring in the diver's original position, -58m, we can calculate his position to be -58 + 40 metres = -18 metres, meaning 18 metres below sea level.
Hope this helped!
Answer:
18 m below sea level
Step-by-step explanation:
What is the slope of the line? − 3 x + 5 y = 2 x + 3 y
Answer:
m=5/2
Step-by-step explanation:
just did
What must be multiplied by 0.0426 to get 4260 ??
Answer:
[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]
0.0426 × y = 4260
y = 4260÷0.0426
y=100000
In each part, a and b represent the length of a leg of a right triangle, and c represents the length of its hypotenuse. Find the missing length, given the other two lengths.
Answer:
c=13 and a=20
Step-by-step explanation:
Here you need to use the Pythagoras theorem :
c²=a² + b²
c = √a² + b²
c = √(12)²+(5)²
c= √144+25
c = √169
c = 13
2) c²=a²+b²
b= √c²-b²
b= √(29)²-(21)²
b = √400
b = 20
In 2 you change your formula just so that it can be easier and just calculate your length straight forward but you can also just do it in the original equation
Suman and Narayan riding bikes towards each other they are 480 Km apart. The speed of Narayan is 6km/hr faster than Suman. If both meet each other after 6hours find there speeds when both started at same time.
Answer:
Suman 37 km/hr
Narayan 43 km/hr
(extremely sorry if this is wrong!!)
Step-by-step explanation:
We can use the formula distance divided by time is speed.
480/6 = 80.
Their speeds must add up to 80 km/hour
Lets set suman as a variable, lets say s.
Narayan has a speed 6 more than suman so we say 6+s
6+s+s = 80
subtract 6 from both sides
s+s = 74
add like terms
s+s = 2s
2s = 74
divide both sides by 2.
74/2=37
s=37
Suman's speed is 37 km/hr.
Narayan's speed would be 6 more than Suman's so we do 6+37
which makes 43 km/hr
Convert log_8 1=0 into an exponential equation
o 1^0=8
O 0^8=1
o '8^0=1
o '8^=8
Given:
The logarithmic equation is:
[tex]\log_81=0[/tex]
To find:
The exponential equation for the given logarithmic equation.
Solution:
We have,
[tex]\log_81=0[/tex]
It can be rewritten as:
[tex]8^{\log_81}=8^{0}[/tex]
Using [tex]a^{\log_ax}=x[/tex], we get
[tex]1=8^0[/tex]
[tex]8^0=1[/tex]
Therefore, the correct option is C.
Jude arrived at work 7:55 am and left at 4:15pm . For how long was he at work
Answer:
500 minutes= 8.33 hr
Step-by-step explanation:
The number of hours that he works will be 8 hours and 20 minutes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Jude arrived at work at 7:55 am and left at 4:15 pm.
Convert the time into 24 hours system. Then we have
4:15 pm = 16: 15
7:55 am = 7: 55
Then the number of hours is given as,
16: 15
- 7: 55
8: 20
Then the number of hours that he works will be 8 hours and 20 minutes.
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(G-GPE.B.4) Prove or disprove the triangle with vertices R (−2, −2), S (1, 4), and T (4, -5) is an equilateral triangle.
Answer:
RST is not an equilateral
Step-by-step explanation:
Given
[tex]R = (-2,-2)[/tex]
[tex]S = (1,4)[/tex]
[tex]T = (4,5)[/tex]
Required
Prove or disprove the triangle is equilateral
To do this, we simply calculate the distance between each vertex using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]RS = \sqrt{(-2 - 1)^2 + (-2 - 4)^2}[/tex]
[tex]RS = \sqrt{45}[/tex]
[tex]ST = \sqrt{(1 - 4)^2 + (4 - 5)^2}[/tex]
[tex]ST = \sqrt{10}[/tex]
[tex]RS \ne ST[/tex] means the triangle is not an equilateral
Please solve with explanation
Answer:
56+8√2=8(7+√2)
Step-by-step explanation:
1. P= AB+BC+CD+DE+EF+FG+GA
2. AB=DC=12
BC=16
AG=ED=4
AG+ED+GE=16
4+4+GE=16
GE=16-8
GE=8
GF²= EF²+GE²
GF²=64+64
GF²=128
GF=8√2
3.P= 12+16+12+4+8+8√2+4= 56+8√2
Answer:
Area = 160 sq cm
Perimeter = 67.31 cm
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.
=16*12 - 1/2 * 8 *8
= 192 - 32
= 160 sq cm
GEF is a right triangle.
Therefore, by Pythagoras theorem:
[tex] FG^2 = FE^2 + GE^2 [/tex]
[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]
[tex] \therefore FG^2 = 64+64 [/tex]
[tex] \therefore FG^2 = 128 [/tex]
[tex] \therefore FG =\sqrt {128}[/tex]
[tex] \therefore FG =11.3137085[/tex]
[tex] \therefore FG = 11.31\: cm[/tex]
Perimeter of the figure
= 12 + 16 + 12+4+8+11.31+4
= 67.31 cm
Which gives the correct values for points A,B,C, and D?
Answer:
The answer would be A
Step-by-step explanation:
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John had a total of $150. He purchased a DVD box set which costs $50 as well as a single DVD. He is left with $75. Which equation could be used to find the cost p of the DVD?
a. 150 + 50 + p = 75
b. 150 + 50 + 75 = p
c. 150 − 50 + 75 = p
d. 50 + p + 75 = 150
ps: absurd answers will be reported !!
Answer:
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The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.
Could someone please help and explain how to do this
Answer:
Step-by-step explanation:
just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]
1) x^3 = x^ (3/4) ===> FALSE
2) x^3/4 = x^3/4 ===> TRUE
3) x^3/4 = x^3/4 ===> TRUE
4) x^(4/3) = x^(4/3) ===> TRUE
Answer:1) x^3 = x^ (3/4) ===> FALSE
2) x^3/4 = x^3/4 ===> TRUE
3) x^3/4 = x^3/4 ===> TRUE
4) x^(4/3) = x^(4/3) ===> TRUE
Step-by-step explanation:
Write an equation that represent the value of an 8700 investment that has 9.1% interest rate compounded yearly y=a(b)^x
Answer:
future value = $8700(1.091)^x
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r) n
FV = Future value
P = Present value = 8700
R = interest rate = 9.1%
N = number of years = x
future value = $8700(1.091)^x
Given that f(x) = x^2 - 6x + 8 and g(x) = x – 2, find (f.g)(x) and express
the result in standard form.
Answer:
(F.g(x))=x^2-10x+24
Step-by-step explanation:
when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,
so f(x)=x^2-6x+8
and we will put x-2 which is g(x) in the place of every x
so f(g(x))=(x-2)^2-6(x-2)+8
so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8
which simplifies to f(g(x))=x^2-10x+24
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Answer:
go a head what can i help you with
Answer:
Step-by-step explanation:
[tex]y_A = 9x -3x - 4 \\y_A = 6x - 4\\\\y_B = 12x - 4\\\\y_C = 5x + x - 4\\y_C = 6x -4[/tex]
Standard equation of a line with slope, m and y - intercept b is y = mx + b.
Clearly. for the second equation has a different coefficient for x.
a ) The coefficient for x , is the slope of the line.
Though the y - intercept for each equation is same = - 4.
For example :
Expression A = 2 , when x = 1
Expression B = 8 , when x = 1
Expression C = 2 , when x = 1
b) From above :
[tex]y_A \ and \ y_C \ are \ the \ same \ expression.[/tex]
c) Expression A and C are equivalent because the coefficient of x
is the same for A and C.
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Find the gradient of the line y=4x-7
Answer:
4
Step-by-step explanation:
Answer:
gradient = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = 4x - 7 ← is in slope- intercept form
with gradient m = 4
Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .
Answer:
21
Step-by-step explanation:
goes up by 7
A sphere has a diameter of 32 ft. What is its surface area?
The surface area of the sphere is
ft?. (Type an exact answer in terms of t.)
Step-by-step explanation:
the answer is in the above image
======================================================
Explanation:
The diameter 32 cuts in half to 16, which is the radius. So r = 16.
Use this to find the surface area of the sphere in the formula below
SA = 4*pi*r^2
SA = 4*pi*16^2
SA = (4*16^2)*pi
SA = 1024pi
This is the exact surface area in terms of pi.
The area units are in square feet, or ft^2 for short.
Recall that variables represent changing values. In this unit, you will work with
equations that contain two different variables. What types of situations might be
modeled with equations containing two or more variables? If the value of one variable
changes, must the value of the other variable change for the equation to remain true?
How would the number of solutions for an equation with two variables differ from the
number of solutions for an equation with only one? Explain
Answer:
It depends on the equations and the variables.
Example of an equation in 2 variables with infinitely many solutions:
sin2x - cos2y + cos2x - sin2y = 0
Example of an equation in 1 variable with 2 solutions:
(x - 1)(x - 2) = 0
Example of 2 equations in 2 variables with no solution:
The intersection of the lines given by
y = 3x + 1
y = 3x + 2
Example of an equation in 1 variable with 1 solution:
5x - 4 = 15
Example of an equation in 1 variable with no real solution:
x2 + 49 = 0
We can go on and on with examples like this. The question is way too general.
Step-by-step explanation:
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