a) 600340
b) 600300
c) 600000
what is the value of 4r^2-8 when r=3?
Answer:
28
Step-by-step explanation:
So this means to replace the r you see in 4r^2-8 with 3.
Let's do that:
4(3)^2-8
Now to simplify this just use pemdas or a calculator:
4(9)-8 since 3^2 means 3*3=9
36-8
28
Answer:
28.
Step-by-step explanation:
Put r =- 3 and work it out:
That would be 4(3)^2 - 8
= 4 * 9 - 8
= 36 - 8
= 28.
WILL PICK BRAINLIEST!!!!!!
Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
1. What is the actual width of the painting? ________ inches
2. What is the actual height of the painting? ________inches
3. On the scale drawing, the top edge of the "H" is 5/6 inches from the top edge of the drawing. What is the actual height of the "H"? _________ inches
4. What is the actual width of the "H" (through the center)? ________inche
5. What is the actual distance from the left edge of the painting to the left edge of the "H"? _________inches
Answer:
1. 24
2. 30
3. 20
4. 12
5. 6
is (0,0) a solution to this system y2x-1
(0,0) satisfies y > 2x - 1 but does not satisfy y ≤ x^2 - 4. C
(0,0) satisfies both inequalities.
24^2= 20^2+34^2-2(20)(34)cos(Q)
576=400+1156-(1360)cos(Q)
576=1556-(1360)cos(Q)
-980= -(1360)cos(Q)
To the nearest whole degree, the measure of angle Q is ____ degrees.
Answer: 50 degrees.
Step-by-step explanation:
To find the measure of the angle Q, you need to follow these steps:
- Knowing that:
[tex]-980= -(1,360)cos(Q)[/tex]
You can divide both sides of the equation by -1,360:
[tex]\frac{-980}{-1,360}=\frac{-1,360cos(Q)}{-1,360}\\\\\frac{49}{68}=cos(Q)[/tex]
- Finally, using the inverse function of the cosine, Arccosine, we get:
[tex]Q=Arcos(\frac{49}{68})\\\\Q=49.89\°[/tex]
To the nearest whole degree, this is:
[tex]Q=50\°[/tex]
the measure of XYZ is 296 what is the measure of XZW the tangent chord angle
Answer:
D. 148°
Step-by-step explanation:
Theorem: The measure of the angle formed by a tangent and a chord is equal to one-half the measure of the intercepted arc.
In your diagram, XZ is the chord, WZ is the tangent, and XYZ is the intercepted arc.
Per the theorem,
mXZW = ½ mXYZ = ½ × 296° = 148°
The measure of the tangent chord angle is 148°.
Answer: D: 148 is correct
Step-by-step explanation: apx :)
How do I solve two step equations?
1. 3x+5=-16
Answer:
x = - 7
Step-by-step explanation:
Given
3x + 5 = - 16 ( subtract 5 from both sides )
3x = - 21 ( divide both sides by 3 )
x = - 7
Two-step equations can get more difficult the higher the numbers get, but they're not too hard! ;)
To solve 3x+5=-16:
First subtract 5 from each side
Now its 3x=-21
Next divide 3 from each side
You get x=-7!
Always check your work! To check your work plug your answer "-7" into x.
So it looks like this: 3(-7)+5=-16 then distribute and solve!
You'll get -16=-16, that means its correct/true!
(02.01 LC)
Is the following relation a function?
x y
1 4
−1 −2
3 10
5 16
Yes
No
Yes or no?
Yes. You should add commas next time to make it easier to read.
Answer:
Yes this is a function..
Step-by-step explanation:
We have to see the inputs and outputs for the function.
Here x represents input and y represents output.
For a relation to be a function there should be no repition in domain or input of the function i.e. every element in domain should be unique.
The domain for given relation is:
{1,-1,3,5}
All the inputs are only once mapped to the output so this relation is a function ..
A decorator wants to line the bottom of 3 drawers with paper. If the bottom of each drawer measures 36 inches by 20 inches,
how many square inches of paper are needed?
A 1,040
B
1,080
C 2,040
D
2,160
Answer:
2160
Step-by-step explanation:
36*20=720 720*3=2160
To find the number of square inches of paper needed, multiply the length and width of each drawer to get the area, and then multiply that area by 3.
Explanation:To find the number of square inches of paper needed, we need to find the area of the bottom of each drawer and then add them together. The area of a rectangle is found by multiplying its length by its width. So, for each drawer, we multiply 36 inches by 20 inches to get an area of 720 square inches.
Since there are 3 drawers, we need to multiply the area of one drawer by 3. So, the total number of square inches of paper needed is 720 square inches times 3, which equals 2160 square inches.
Therefore, the correct answer is D) 2160.
solve 7r+ 2 = 5(r – 4)
Multiply the bracket by 5
I used PEMDAS
P= parenthesis
E= exponents
M=multiplication
D= division
A= addition
S= subtraction
7r+2= 5(r-4)
7r+2= 5r-20
Move 5r to the left hand side . Positive 5r changes to negative 5r
7r-5r+2= 5r-5r-20
2r+2=- 20
2r+2-2= -20-2
Move positive 2 to the right hand side. Changes to negative -2
2r+2-2= -20-2
2r= -22
Divide by 2 for 2r and -22
2r/2= -22/2
r= -11
Answer is r= -11
Answer:
r = (-11)
Step-by-step explanation:
7r + 2 = 5(r – 4)
7r + 2 = 5r – 4 * 5
7r + 2 = 5r – 20
7r - 5r = -20 - 2
2r = -22
r = -22/2 = (-11)
Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the
points C(0,7) and D(4,15)?
Find the slope of AB
The slope of AB
Answer:
Yes the lines are indeed parallel. The slope of AB is 2
Step-by-step explanation:
which of the following is a polynomial with roots 3,5i, and -5i
f(x)=x^3-3x^2+25x-75
f(x)=x^3-3x^2+15x-25
f(x)=x^3-15x^2+25x-75
f(x)=x^3-3x^2+15x-75
Answer:
f(x)=x^3-3x^2+25x-75
Step-by-step explanation:
Solve for x:
x^3 - 3 x^2 + 25 x - 75 = 0
The left hand side factors into a product with two terms:
(x - 3) (x^2 + 25) = 0
Split into two equations:
x - 3 = 0 or x^2 + 25 = 0
Add 3 to both sides:
x = 3 or x^2 + 25 = 0
Subtract 25 from both sides:
x = 3 or x^2 = -25
Take the square root of both sides:
Answer: x = 3 or x = 5 i or x = -5 i
The probability that the fraction will be greater than 5/6
Answer:
11/16
Step-by-step explanation:
You could list all the possible fractions you will get:
Here are the's with 4 as the numerator:
4/4
4/5
4/6
4/7
Here are the one's with 5 as the numerator:
5/4
5/5
5/6
5/7
Here are the one's with 6 as the numerator:
6/4
6/5
6/6
6/7
Here are the one's with 7 as the numerator:
7/4
7/5
7/6
7/7
There are 4(4) different numerator-denominator combinations we can get.
Let's see which of these are bigger than 5/6.
If you think it is easier to look at the decimals of all these you can.
5/6=0.8333333333
----
4/4 =1
4/5 =0.8
4/6 =0.6666666666
4/7 =0.5714 (approximately)
There is only 1 bigger than 5/6 in this section.
5/4 =1.25
5/5 =1
5/6 =0.83333333333
5/7 =0.714 (approximately)
There is 2 bigger than 5/6 in this section.
6/4 =1.5
6/5 =1.2
6/6 =1
6/7 =0.857 (approximately)
There is 4 bigger than 5/6 in this section.
7/4
7/5
7/6
7/7
All of these are 1 or bigger because the numerator is bigger than or equal to the denominator so all 4 of these are bigger than 5/6 in this section.
P(fraction being greater than 5/6)=[\tex]\frac{\text{ the numbers I listed bigger than } \frac{5}{6}}{\text{ all the fractions I listed }}[/tex]
P(fraction being greater than 5/6)=[\tex]\frac{4+4+2+1}{4(4)}=\frac{11}{16}{/tex]
11/16
Answer:
1/6 or 11/16
Step-by-step explanation:
If you spin a spinner with the first spin giving the numerator and the second spin giving the denominator of a fraction, the probability of the fraction will be greater is 1/6 or 11/16.
6 - 5/6 = 1/6
However, there are 4 possible spots you could land on so, it would change to 11/16.
Jayne is studying urban planning and finds that her town is decreasing in population by 3%
each year. The population of her town is changing by a constant rate.
True
False
Answer:
True
Step-by-step explanation:
Let, [tex]P_0[/tex] be the initial population,
Given,
The population is decreasing by 3% each year,
Thus, the population after t years would be,
[tex]P=P_0 (1-\frac{3}{100})^t[/tex]
[tex]\implies P=P_0(1+\frac{-3}{100})^t[/tex]
Since, if a population is changing by a constant rate then the population after t years is,
[tex]P=P_0(1+\frac{r}{100})^t[/tex]
Where, r is the rate of changing per period.
Hence, in the given situation the population is changing by the constant rate.
Which equation represents the line that passes through (–6, 7) and (–3, 6)?
y = –x + 9
y = –x + 5
y = –3x – 11y
y = –3x + 25
Answer:
The equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
Step-by-step explanation:
The equation of line for point=slope form is
y-y₁ = m(x-x₁)
Finding Slope m:
m= y₂-y₁/x₂-x₁
here y₂= 6,y₁= 7,x₂= -3,x₁= -6
m = 6-7/-3-(-6)
m = -1/-3+6
m = -1/3
The slope m = -1/3 and considering point (-6,7) the equation is:
y-y₁ = m(x-x₁)
y-7 = (-1/3)(x-(-6))
y-7 = -1/3(x+6)
y-7 = -1/3x -2
y = -1/3x-2+7
y = -1/3x + 5
So, the equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
a rectangular field has an area of 1,764m^2. the width of the field is 13m more then the length. what is the perimeter of the field?
Answer:
170 m
Step-by-step explanation:
Area of a rectangle is width times length:
A = WL
Given:
A = 1764
W = L + 13
Substitute:
1764 = (L + 13) L
1764 = L² + 13L
0 = L² + 13L − 1764
0 = (L + 49) (L − 36)
L + 49 = 0, L − 36 = 0
L = -49, L = 36
Since length can't be negative, L = 36 m.
So the width is W = L + 13 = 49 m.
Perimeter of a rectangle is twice the width plus twice the length.
P = 2W + 2L
P = 2(49) + 2(36)
P = 170 m
The perimeter is 170 meters.
Please help I don’t know this!!!
Answer:
F
Step-by-step explanation:
∠C is opposite ( or across from ) side AB
In the same way
∠A is opposite side BC and
∠B is opposite side AC
what is the formula of (x^3 + y^3) as a factorized form?
Answer:
see explanation
Step-by-step explanation:
x³ + y³ ← is a sum of cubes and factors as
(x + y)(x² - xy + y²) ← in factored form
What was the range of snowfall in Denver?
Answer:
7.6 inches
Step-by-step explanation:
First of all we have to define range.
Range gives us the difference of two values between which the data is spread.
the formula for range is:
Range = Highest value - lowest value
By observing the diagram, we can see that
The highest value is = 8.5 inches
The lowest value is: 0.9 inches
So,
Range = 8.5 - 0.9
= 7.6 inches
So, the range is 7.6 inches ..
solve the equation above
Answer:
½ = x
Step-by-step explanation:
As discussed in one of my You-Tube videos on Exponential Rules, aᵐ\ⁿ, any base to the half power is the SAME AS taking the exponential denominator of that power, and setting that to the square root of the base, leaving the exponential numerator on the outside:
25¹\² = √25
25 = a [Base]
1 = m [Exponential Numerator]
2 = n [Exponential Denominator]
As you can see, it is unnecessary to put the two because by definition, any vacant root is automatically assumed as the square root, and 1, which is the exponential numerator, is on the outside, which again is unnecessary because 5¹ is 5.
https://youtu.be/3ShAY4y6V48
Watch the above link and subscribe to my channel [USERNAME: MATHEMATICS WIZARD].
I am joyous to assist you anytime.
Please help ASAP it is due in 5 mins
Answer:
z = 5
Step-by-step explanation:
Given
- 0.25z = - 1.25 ( divide both sides by - 0.25
z = [tex]\frac{-1.25}{-0.25}[/tex] = 5
z = 5
Answer:
z = 5.
Step-by-step explanation:
-0.25 z = -1.25
z = -1.25 / -0.25
z = 5.
Question 1 of 25
2 Points
Suppose the linear regression line y = 2.1x + 130 predicts sales based on the
money spent on advertising. If x represents the dollars spent in advertising,
and y represents the company sales in dollars, about how much can the
company expect in sales if it spends $50 in advertising?
O A. $650
O B. $235
O C. $105
O D. $323
SUBMIT
Use the graph to determine the input values that correspond with f(x)=1.
Answer:
x = -7 and x = 2
Step-by-step explanation:
Look for the points on the graph where if you draw a horizontal line at y=1, you will intersect the curve.
By observation, we can see that this happens at x = -7 and x = 2
x = -7 and x = 2
How to elaborate the problem ?Here in the diagram, we can see that, a curve is present & 6 co-ordinates on that curve are given.
We have to find the values of x correspond with f(x) = 1
What are the input values ?f(x) = 1 means y = 1
So, if we draw a horizontal line at y = 1, which is parallel to x-axis.
Then, we can able to observe the points which are on the line y = 1.
So, the points on line y = 1 are (-7, 1) & (2, 1).
Hence, we can say that, input values that correspond with f(x) = 1 are x= -7 & x = 2.
Learn more about graph here :
https://brainly.com/question/25184007
#SPJ2
Point C and point D are plotted on the graph. Plot points A and B to form rectangle ABDC with an area of 36 square units. Plot point E at (2, 4).
Step-by-step explanation:
pt C is (-4,-4)
pt D is (2,-4)
length of CD is 6 units
to form a rectangle AB must be parallel to CD, AC must be parallel to BD and AC and BD must be 6 units
Therefore...A =(-4, 2) and B = (2, 2)
Algebra 2 help? please ill give brainliest
Which answer is the explicit rule for the sequence 2,9,16,23,30...
Answer:
see explanation
Step-by-step explanation:
These are the terms of an arithmetic sequence
The n th term ( explicit rule ) for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = 9 - 2 = 16 - 9 = 23 - 16 = 30 - 23 = 7 and a₁ = 2, hence
[tex]a_{n}[/tex] = 2 + 7(n - 1) = 2 + 7n - 7 = 7n - 5
The explicit rule for the sequence 2,9,16,23,30... is 7n - 5
How to write explicit rule for a sequence2,9,16,23,30
First term, a = 2Common difference, d = 9 - 2= 7
The explicit rule is defined by
nth term = a + (n - 1) d
= 2 + (n - 1)7
= 2 + 7n - 7
= 7n - 5
Learn more about arithmetic progression:
https://brainly.com/question/7882626
the graph of y=sin(x-3π/2) is the graph of the y=sin(x) shifted in which direction
Answer:
[tex]\frac{3\pi}{2}[/tex] units to the right
Step-by-step explanation:
If we have a parent function y = Sin(x), the function
y = Sin(x-b) would be the parent shifted b units righty = Sin (x+b) would be the parent shifted b units leftThe function given is [tex]y=Sin(x-\frac{3\pi}{2})[/tex]
So from the rules, we can clearly say that it is parent function shifted RIGHT by [tex]\frac{3\pi}{2}[/tex] units.
2nd answer choice is correct.
Could you guys help me with number 4
Answer:
c
Step-by-step explanation:
What equation results from completing the square and then factoring?
x2 - 8x = 39
O A. (x-8)2 = 55
O B. (X-8)2 = 23
O C. (x-4)2 = 23
O D. (x-4)2 = 55
Answer:
[tex]\large\boxed{D.\ (x-4)^2=55}[/tex]
Step-by-step explanation:
[tex](a-b)^2=a^2-2ab+b^2\qquad(*)\\\\\\x^2-8x=39\\\\x^2-2(x)(4)=39\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\\underbrace{x^2-2(x)(4)+4^2}_{(*)}=39+16\\\\(x-4)^2=55[/tex]
Answer: the answer is D
Step-by-step explanation:
the solution to 2x+8>10 is x<1
true or false
Answer:
false
Step-by-step explanation:
correct me if this is wrong, but it's actually x>1
Answer:
false.
Step-by-step explanation:
Given : 2x+8>10.
To find : the solution to 2x+8>10 is x<1 true or false.
Solution : We have given that
2x+8>10.
On subtracting both sides by 8
2x > 10 -8.
2x > 2
On dividing both sides by 2
x > 1
So, given statement false .
Therefore, false.
girardo is using the model below to solve the equation 3x+1=4x+(-4)
Answer:
x = 5Step-by-step explanation:
[tex]3x+1=4x+(-4)\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\3x-4x+1=4x-4x-4\\\\-x+1=-4\qquad\text{subtract 1 from both sides}\\\\-x+1-1=-4-1\\\\-x=-5\qquad\text{change the signs}\\\\x=5[/tex]
Answer:
The answer is B. In step one he should have added 3 negative x-tiles to both sides.
Step-by-step explanation: