Answer:
radius
Step-by-step explanation:
AJ is half the distance across the circle (radius).
Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot = StartRoot StartFraction 63 y Superscript 5 Baseline Over a x Superscript b Baseline EndFraction EndRoot a = and b =
Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2.
126/32=(63*2)/(16*2)
The 2s in the top and bottom can cancel out, leaving the fraction 63/16.
In addition, since there are x terms on the top and bottom, they cancelled out as well.
x/x^3=1/x^2
This leaves an x^2 term on the bottom.
Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.
Step-by-step explanation:
Answer:
A=16 & B=2
Second part is B
Step-by-step explanation:
;)
Q: A monomial usually has the form axn, where a is any number and n is a nonnegative integer. True or False
Hello, please help me out!
Answer:
True
Step-by-step explanation:
Yes this is a correct statement because a monomial usually has only one term and no + or - sign dividing the terms. For example 3x is a monomial which can be written as x*3
Which graph represents the function f(x) = log10(x) − 2? (1 point) logarithmic function passing through point 3, 0. logarithmic function passing through point negative 1, 0. logarithmic function passing through point 1, 2. logarithmic function passing through point 1, negative 2.
Answer:
logarithmic function passing through point 1, -2.
Step-by-step explanation:
f(x) = log10(x) - 2
Option: logarithmic function passing through point 3, 0 is incorrect because:
f(3) = log10(3) - 2 ≈ -1.5
Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0
Option: logarithmic function passing through point 1, 2 is incorrect because:
f(1) = log10(1) - 2 = -2
which means that option: logarithmic function passing through point 1, -2 is correct.
Find the value of T when T = 2U + 4V when U = 4 and V = -5
Please help
________________________________
Hey!!!
Solution,
U=4
V=-5
Now,
T=2U+4V
=2*4+4*(-5)
=8+(-20)
=8-20
=-12
So the value of T is -12.
hope it helps
Good luck on your assignment
_____________________________
15. Select the graph which correctly displays the function f(x) = |x + 2|– 3.
Answer:
Step-by-step explanation:
f(0)=2-3=-1 so the point (0,-1) must be on the graph
f(-5)=|-5+2|-3=3-3=0 so the point (-5,0) must be on the graph
Then, the correct answer is the second graph
The graph that correctly displays the function f(x) = |x + 2|– 3 is the second graph.
How do we graph a function?We graph a function by calculating some values of f(x), plotting the points calculated as (x, f(x)), recognizing the trend, and completing the graph.
How do we solve the given question?To solve the given question, we will plot a graph of the function
f(x) = |x + 2|– 3 and then compare the graphs with it.
Our function f(x) = |x + 2|– 3 can be written as the combination of two functions g(x) = |x+2| and h(x) = -3
Since g(x) is a modulus function, it will be V-shaped. To recognize its start point and the trend, first we calculate x, when g(x) = 0
or, |x+2| = 0
or, x + 2 = 0
or, x = -2.
We find two more points, g(-1) and g(-3) to find if the V is upright or inverted.
g(-1) = |-1+2| = 1
g(-3) = |-3+2| = 1
Since g(-1) and g(-3) are greater than g(-2), g(x) = |x+2| is an upright V-shaped function starting from the point (-2,0)
h(x) = -3, is a straight line parallel to the x-axis, passing through the point -3 on the y-axis.
∴ f(x) = g(x) + h(x) = |x+2|-3 will move the graph of g(x) 3 points down.
The graph of f(x) will then be a V-Shaped upright curve, with the start point (-2, -3) and going up.
Our graph has been attached. The graph matching our graph is the 2nd one, so that is the right option.
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plsssssss on thissss i need someone helppp plssss helppp
Answer:
B
Step-by-step explanation:
A is incorrect, the y-axis represents the distance, not time
If you answer all the questions on the picture I will give brainliest
Answer:
1. 324
2. 610
3. 72
4. 97
5. 20
6. 28
7. 195
At 1:00 p.m., the temperature is 12°F. If the temperature steadily decreases by 2°F per hour, then what the temperature at 08:00 p.m
Answer:
-2
Step-by-step explanation:
There’s a decrease over 7hrs 7•-2= -14
12-14=-2
Answer:
-2
Step-by-step explanation:
Which of the following represents 1 < x <_ 6
a. [1/6]
b. (1,6]
c. (1,6)
d.[1,6)
Answer:
The correct answer is
b.(1,6]
A. -1
B. 1
C. Undefined
D. 0
Answer: 0
Step-by-step explanation:
Using the Trigonometric values table or unit circle, calculate the expression.
Answer:
The answer is D.) 0
Step-by-step explanation:
JUST THE QUEST
A bank advertises a 2/1 ARM at 3.25% with a 2/10 cap.
What is the maximum interest rate that can be charged during the fifth year?
A 2%
B 3.25%
C 9.25%
D 10%
Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6
Answer:
y = (7/4)x - 3/4
Step-by-step explanation:
I'll assume that two points taken from your table are (-3, -6) and (1, 1).
As we move from the first to the second, x increases by 4 units ("run") and y increases by 7 units ("rise"). Thus the slope of the line connecting these two points is m = rise / run = 7/4.
Let's begin with the familiar y = mx + b. Substituting 1 for x and 1 for y and 7/4 for m, we get:
1 = (7/4)(1) + b, or 1 - 7/4 = b, or b = -3/4.
Then the desired equation, in slope-intercept form, is
y = (7/4)x - 3/4
Match the equivalent expressions.
7x − 8y
7x + y
5(x + y) + 6(x − y)
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
x − 4x + 6y + (14x − 5y)
11x + y
3x + 3y + 2(2x − y)
11x − y
Answer:
see below
Step-by-step explanation:
5(x + y) + 6(x − y)
Distribute
5x+ 5y + 6x -6y
Combine like terms
11x -y
(5x − 3y) − x + 3x − 5y
Combine like terms
5x -x +3x -3y -5y
7x -8y
4(x + y) − 3(x + y)
Distribute
4x +4y -3x -3y
Combine like terms
x -y
x − 4x + 6y + (14x − 5y)
Combine like terms
x -4x +14x +6y -5y
11x +y
3x + 3y + 2(2x − y)
Distribute
3x+3y +4x -2y
Combine like terms
7x +y
Answer:
5(x + y) + 6(x − y) = 11x − y
(5x − 3y) − x + 3x − 5y = 7x − 8y
x − 4x + 6y + (14x − 5y) = 11x + y
3x + 3y + 2(2x − y) = 7x + y
and there is no match for 4(x + y) − 3(x + y)
Step-by-step explanation:
hope this helps :)
Find the value of x that makes line m parallel to line
n.
(4x - 23)
n
{
(2x + 17)
Answer:
20
Step-by-step explanation:
If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.
Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:
4x - 23 = 2x + 17
Subtract 2x from both sides and add 23 to both sides:
2x = 23 + 17 = 40
Divide by 2:
x = 40/2 = 20
The answer is thus 20.
~ an aesthetics lover
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.
[tex]4x-23=2x+17[/tex]
[tex]4x-23+23=2x+17+23[/tex]
[tex]4x=2x+40[/tex]
[tex]4x-2x=2x+40-2x[/tex]
[tex]2x=40[/tex]
[tex]\frac{2x}{2}=\frac{40}{2}[/tex]
[tex]x=20[/tex]
Integers and polynomials are both _[blank 1]_ under addition, subtraction, and multiplication; however, operations on polynomials _[blank 2]_ while operations on integers _[blank 3]_.
Answer:
Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .
Step-by-step explanation:
Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.
Operations on polynomials can sometimes be open, like in division.
Operations on integers can produce irrational results , for example, dividing 11 by 9.
An empty swimming pool is going to be filled with water. The swimming pool is a cuboid, that is 25 metres long, 10 metres wide and 2 metres deep. It is being filled at a rate of 800 litres per minute Given 1m3 = 1000 Litres, how long it will take to fill the swimming pool? Give your answer in hours and minutes.
Answer: 10 hours and 25 minutes.
Step-by-step explanation:
Multiply 25, 10, and 2 to find volume. Volume is 500 metres.
1 meter = 1000 litres. 500 * 1000 = 500,000 litres in volume.
500,000/ 800= 625 minutes.
625 minutes = 10 hours and 25 minutes
It take 10 hours and 25 minutes to fill the swimming pool.
The volume of a cuboid is given by the formula:
Volume = Length × Width × Depth
= 25 m × 10 m × 2 m
= 500 m³
Now, convert the rate of filling from liters per minute to cubic meters per minute:
1 m³ = 1000 liters
So, 800 liters per minute = 800/1000
= 0.8 m³ per minute
Next, the time it will take to fill the pool:
Time (in minutes) = Volume / Rate of filling
= 500 m³ / 0.8 m³ per minute
= 625 minutes
Now, 1 hour = 60 minutes
625 minutes = 625 / 60
= 10 hours and 25 minutes
So, it take 10 hours and 25 minutes to fill the swimming pool.
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Two times a number plus four is 22. What is the number?
Answer:
9
Step-by-step explanation:
2n+4=22
2n=18
n=9
Willie had a lemonade stand.On one day he sold 117 cups of lemonade. If each cup contains 226 milliliters of beverage, how many liters did he sell in all
Answer:
26.442 litre
Step-by-step explanation:
total beverage sold= 117*226
= 26442ml
in litres= 26442/1000
= 26.442
Write (2y^2)^3 without exponents.
Answer:
Step-by-step explanation:
(2y²)³=2³×y^6=8y^6
=8×y×y×y×y×y×y
Select the equation that is the inverse of the given function. f (x) = StartFraction x minus 3 Over 5 EndFraction f Superscript negative 1 Baseline (x) = 5 x + 15 f Superscript negative 1 Baseline (x) = 5 x + 3 f Superscript negative 1 Baseline (x) = 3 x minus 5 f Superscript negative 1 Baseline (x) = negative five-thirds x
Answer: the answer is B
Step-by-step explanation:
i just did it
Answer:
b
Step-by-step explanation:
on edge
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.
How many angles are alternate exterior angles with angle 5?
Answer:
The answer is 7 angles.
Step-by-step explanation:
There 7 alternate exterior angles with angle 5.
Correct me if I'm wrong!
Thank you!!!
The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.
What is an alternate exterior angles ?The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.
Hence, the angle that is alternate exterior angles with angle 5 is as follows:
∠11learn more on alternate exterior angles here: https://brainly.com/question/16244138
Will give brainliest to whoever solves Calculate
Answer:
1. 2
2. 1
Step-by-step explanation:
All work is attached!
please mark brainliest!
Determine the item that would be represented by the independent variable in this situation. Candice picked strawberries to make jam for the fair. each jar of jam requires 25 strawberries. If she wants to make 50 jars of jam, how many strawberries must Candice pick?
a. Candice
b. Strawberries
c. Jars
d. Fair
Answer:
The item that would be represented by the independent variable in this situation is:
b. StrawberriesStep-by-step explanation:
To identify if a variable is dependent or independent, you must think about what variable needs from other to accomplish the exercise, for example, the distance traveled and the time, suppose you want to see how much distance you travel in a determined time, in this case, the distance is a dependent variable and the time an independent variable, this is because the distance you travel depends on the time you use in this activity, but the time will continue advancing no matter if the distance is advancing or not, in the case given, the jars of jam depends on the number of strawberries that Candice has (more jars of jam needs more strawberries) but the strawberries don't depend on the jars of jam, so, the jars of jam are the dependent variable and the strawberries the independent variable.
Answer:
B
Step-by-step explanation:
Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible.
(8,1); y=-8x-1
Answer:
y= ⅛x
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the y-intercept.
Let's find the value of m first.
The product if the gradients of 2 perpendicular lines is -1.
Gradient of given line= -8
m(-8)= -1
m= -1 ÷(-8)
m= ⅛
y=⅛x +c
To find the value of c, substitute a coordinate.
When x=8, y=1,
1= ⅛(8) +c
1= 1 +c
c= 1 -1
c= 0
Thus, the equation if the line is y= ⅛x.
Dante is selling donuts outside a huge office building every morning. The first week
he made $25 selling donuts, the second week he made $45 the third week he made
$65! Everyone loved them and they are spreading the word. If this pattern continues
how much money will he be making in week 10?
Answer:
$205Step-by-step explanation:
45 - 25 = 20
65 - 45 = 20
as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)
so ,we are in an arithmetic sequence case with :
first term 25 common difference r = 20Let’s label the sequence: Un
then
Un = U1 + (n-1)×r
= 25 + (n-1)×20
= 20n + 5
for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205
8.) Mrs. Ruiz bought six 2-liter bottles of juice. How many dekaliters of juice
did she buy?
a.) 0,012 dekaliter
b.) 0.12 dekaliter
c.) 1,2 dekaliters
d.) 120 dekaliters
Will mark as Brainlist
Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0
a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4
The answer :
4/5
Step-by-step explanation:
4x-5y=0
subtract 4x on both the sides
4x-4x-5y = 0-4x
-5y = -4x
divide by -5 on both the sides
-5y/-5 = -4x/-5
y =( 4/5 )x
PLZ HELP I NEED HELP THANK YOU
Answer:
3rd one
Step-by-step explanation:
The big prism is 10x10x15 = 1500, and all the values are bigger except for the third and fourth. However, since we are cutting something out it should be less than 1500, the only is the 3rd answer.
Answer:
1468 in^3
Step-by-step explanation:
you can just solve for the volume of the big container and then solve for the volume of the small container and subtract the volume of the small container from the big one.
big container: 10 x 10 x 15 = 1500
small container: 2 x 4 x 4 = 32
1500 - 32 = 1468
Infected individuals can spread the
virus 14 days before they begin to feel
ill. Change the parameters to represent
this information as the number of days
contagious.
Given the new parameters, determine
how many school days it would take for
half of the school of 400 people to
become infected?
Answer:IDK
Step-by-step explanation:
Ummm I don’t think so
Which expression is equivalent to (x^14 y^1/6)^1/2
A.x^1/2y^4
B. X^1/8y8
C.x^1/4y^8
D.x^1/4y^4
Please help its timed
Answer:
x^1/8 y^8
Step-by-step explanation:
To obtain the answer to the question given above, let us simplify the expression (x^1/4 y^16)^1/2.
This is illustrated below:
(x^1/4 y^16)^1/2
(x^1/4)^1/2 • (y^16)^1/2
x^1/4×1/2 • y^16×1/2
x^1/8 y^8
Therefore, x^1/8 y^8 is equivalent to (x^1/4 y^16)^1/2.