Answers
Hi there! Hopefully this helps!
---------------------------------------------------------------------------------------------------------------
Answer to the first equation: 3.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer to the second equation: 7
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer to the third equation: -2.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer to the fourth equation: -3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
3
7
-2
-3
Step-by-step explanation:
in that exact order
Related Questions
suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 2 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number.
Answers
Answer:
P(white region) = 0.75 or 75%
Step-by-step explanation:
Find the area of the shaded region:
A = πr²
A = π(2)²
A = 12.56
Find the area of the entire dartboard:
A = πr²
A = π(4)²
A = 50.24
Find the probability that the dart hits the blue region:
P(blue region) = Area of blue region/ Total Area
P(blue region) = 12.56 / 50.24
P(blue region) = 0.25
As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1
P(white region) = 1 - P(blue region)
P(white region) = 1 - 0.25
P(white region) = 0.75
The lengths of a rectangular garden, the inner rectangle, is 9ft more than its width. For the garden. Let x = width, x + 9 = length. It is surrounded by a brick walkway 4ft wide. Suppose the total area of the walkway is 400ft^2.
a. Write a polynomial to represent the length of PQ
b. What are the dimensions of the garden?
Answers
Answer:
[tex]PQ = x + 13[/tex]
The dimension of the garden is 52.5ft by 43.5ft
Step-by-step explanation:
Given
The shape above
Required
Determine PQ
Determine dimension of the garden
Calculating Length PQ
Represent the length of the inner rectangle as L
Represent the width of the inner rectangle as W
[tex]W = x[/tex]
[tex]L = x + 9[/tex]
The distance between the inner rectangle and the outer triangle is 4ft
This implies that;
[tex]PQ = L + 4[/tex]
Substitute [tex]x + 9[/tex] for [tex]L[/tex]
[tex]PQ = x + 9 + 4[/tex]
[tex]PQ = x + 13[/tex]
Also;
[tex]QR = W + 4[/tex]
Substitute [tex]x[/tex] for [tex]W[/tex]
[tex]QR = x + 4[/tex]
Calculating The Dimension of The Garden
First, we need to determine the Area of the inner rectangle
[tex]Area_1 = L * W[/tex]
Recall that [tex]W = x[/tex] and [tex]L = x + 9[/tex]
So;
[tex]Area_1 = x * (x + 9)[/tex]
For the bigger rectangle
[tex]Area_2 = PQ * QR[/tex]
Recall that [tex]PQ = x + 13[/tex] and [tex]QR = x + 4[/tex]
So;
[tex]Area_2 = (x + 13)(x + 4)[/tex]
Given that the Area of the walkway is [tex]400ft^2[/tex]
This implies that
[tex]Area_2 = Area_1 + 400[/tex]
Substitute [tex]Area_1 = x * (x + 9)[/tex] and [tex]Area_2 = (x + 13)(x + 4)[/tex]
[tex](x + 13)(x + 4) = x * (x + 9) + 400[/tex]
Open All Brackets
[tex]x^2 + 13x + 4x + 52 = x^2 + 9x + 400[/tex]
[tex]x^2 + 17x + 52 = x^2 + 9x + 400[/tex]
Collect Like Terms
[tex]x^2 - x^2 + 17x - 9x = 400- 52[/tex]
[tex]8x = 348[/tex]
Divide both sides by 8
[tex]\frac{8x}{8} = \frac{348}{8}[/tex]
[tex]x = \frac{348}{8}[/tex]
[tex]x =43.5[/tex]
Since the dimensions of the garden is [tex]W = x[/tex] and [tex]L = x + 9[/tex]
Substitute 43.5 for x in both cases
[tex]L = 43.5 + 9 = 52.5[/tex]
[tex]W = 43.5[/tex]
Hence, the dimension of the garden is 52.5ft by 43.5ft
Which of the following cross sections cannot be produced by slicing a right rectangular prism? A. pentagon B. circle C. rectangle D. trapezoid
Answers
Answer:
The answer is option B.
Step-by-step explanation:
Since it's a rectangular prism slicing will produce either a rectangle or trapezoid and not or a circle since it's round
Hope this helps you
Answer: B. Circle
Step-by-step explanation:
Since the base is a rectangle and the faces are rectangular, there is no way to slice the prism to get a a circle.
The trapezoid ? Maybe. A diagonal slice starting on a corner will create a quadrilateral with uneven sides.
Pentagon? Imagine starting on the top near a corner-- but not on the corner-- with a diagonal line, slicing down towards the opposite corner. You should be able to get an irregular pentagon.
A rectangle is easy!
No circles!
Enjoy! I hope this helps you.
ASAP!! can someone help answer these and include work, whoever answers most gets brainliest!! i underlined the questions
Answers
your work for the first one is perfect!!
the second one gives you the side lengths of x+2 and x-5. the formula for the area of a rectangle is l×w so you have to multiply (x+2)(x-5) and im sure you can figure that out but the answer to that is x^2-3x-10
you set up number 3 right, you just need to continue with the distribute property which would give you 4x^2-20x+25
number 4 is the same as the other ones and the answer is 36x^2-1
number 5 is just distributing the -z^3 into everything in the parenthesis giving you -5z^3-z^4+4z^5
I cant see all your work for number 6, but I can see that your term for c is 5, when it is actually -5. it looks like you didnt subtract it to make the quadratic equal to zero and to do that you would have to subtract 5.
tbh I cant read number 7
hope that helped :)
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Answers
Answer:
a(n) = 1(2.5)^(n - 1)
Step-by-step explanation:
The geometric sequence is 1, 2.5, 6.25, 15.625, and so on; the first term is 1. The common ratio is 2.5; each new term is 2.5 times the previous term.
The explicit formula desired is thus a(n) = 1(2.5)^(n - 1)
Answer:
ITS CCCCCCC (2.5)
Suppose you deposit a principal amount of p dollars in a bank account that pays
compound interest. If the annual interest rate r (expressed as a decimal) and the bank
makes interest payments n times every year, the amount of money A you would have
after t years is given by:
A = P[1+ (r/n)]"
Find the account balance after 20 years if you started with a deposit of $1000, and the
bank was paying 4% interest compounded quarterly (4 times a year). Round your
answer to the nearest cent.
Answer:
Answers
Answer:
$2216.72
Step-by-step explanation:
Simply plug in your known variables into the formula:
a = 1000
r = 0.04 (4%)
n = 4
t = 20
A = 1000(1 + 0.04/4)⁴⁽²⁰⁾
A = 1000(1 + 0.01)⁸⁰
A = 1000(1.01)⁸⁰
A = 1000(2.21672)
A = 2216.72
A machining company needs to manufacture more than 20 fixtures in a day. The company uses five identical machines to make the fixtures. If each machine produces x fixtures, which inequality represents this situation? A. 5x > 20 B. 5x 20 + 5 D. 5x < 20 + 5
Answers
Answer:
A. 5x>20
Step-by-step explanation:
Because the company has to produce more than 20 fixtures you need greater than 20 and you have 5 machines time the number they produce.
Hope this helps, if it does please mark brainliest!!
Answer:
5x > 20
Step-by-step explanation:
I got a 100
thanks for helping me out y’all if anyone of y’all play roblox mine is ( colIapsinq ) the second L is a capital ( i )
Answers
Answer:
1. 5
2. 6
3. 8
4. 200
Step-by-step explanation:
I said the answer already
first 5
next 6
then 8
lastly 200 my accounts (try both of them) king1ev15 and/or king1ev151
Which equation could generate the curve in the graph below?
Answers
Answer:
The answer is option 1.
Step-by-step explanation:
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).
Option 1,
[tex]y = 3 {x}^{2} - 2x + 1[/tex]
[tex]D = {( - 2)}^{2} - 4(3)(1)[/tex]
[tex]D = - 8[/tex]
[tex]D < 0[/tex]
Option 2,
[tex]y = 3 {x}^{2} - 6x + 3[/tex]
[tex]D = {( - 6)}^{2} - 4(3)(3)[/tex]
[tex]D = 0[/tex]
Option 3,
[tex]y = 3 {x}^{2} - 7x + 1[/tex]
[tex]D = {( - 7)}^{2} - 4(3)(1)[/tex]
[tex]D = 37[/tex]
[tex]D > 0[/tex]
Option 4,
[tex]y = 3 {x}^{2} - 4x - 2[/tex]
[tex]D = {( - 4)}^{2} - 4(3)( - 2)[/tex]
[tex]D = 40[/tex]
[tex]D > 0[/tex]
As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.
The given curve in the graph is generated by the equation y =3x² - 2x +1. The correct option is A.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercepts).
Option 1,
y =3x² - 2x +1
D = b² - 4ac
D = ( -2 )² - ( 4 x 3 x 1 )
D = 4 - 12
D = -6
D < 0
To know more about coordinate geometry follow
https://brainly.com/question/6941371
#SPJ2
How do I figure of the 7/3 I'm not sure how to add a fraction with a different denomination
Answers
Step-by-step explanation:
Hi there!!
Here, the thing is we should add them first yaa.
so, let's add them
[tex] = - 2 \frac{1}{6} + \frac{7}{3} [/tex]
by taking lcm we get their lcm is 6 and let's do it according to that,
[tex] = \frac{ - 12 \times 1}{6} + \frac{7 \times 2}{6} [/tex]
now, let's simplify them ok..
[tex] = \frac{ - 12 + 14}{6} [/tex]
so, we get 2/6 (i.e 1/3)
now, the number line must be greator than 1 and less than 1.
Hope it helps...
I wish to have $10,000 at the end of 8 years in a bank offering a simple interest rate of 7.5% per year. How much should I deposit in the bank? Please ANSWER CORRECTLY! I will give brainliest for CORRECT answer
Answers
Answer:
$6250
Step-by-step explanation:
6250x.075x8=3750
6250+3750=10,000
- (1 /-11 )( 77+1100)
Answers
-(1/-11)(77+1100)=107
Answer:
107
Step-by-step explanation:
-(1/-11)(77+1100)
1/11(1177)
=107
What is the solution to the system of equations?
(x + 4y – z = 5
3x – 2y + 2z = 7
2x – z= -2
Answers
Answer:
x = 1, y = 2, z = 4
Step-by-step explanation:
(x + 4y – z = 5
2(3x – 2y + 2z = 7 )
6x - 4y + 4z = 14
7x + 3z = 19
3(2x – z= -2)
6x - 3z = -6
13x = 13
x = 1
6(1) - 3z = -6
-3z = -12
z = 4
(1) + 4y - 4 = 5
4y = 8
y = 2
if you were to take a dime and 500 pennies and 5 quarters how much money would you have
Answers
Answer:
$6.35
Step-by-step explanation:
5*25=125
125+500=625
625+10=635
635/100=6.35
Answer:
$6.35
Step-by-step explanation:
500 pennies = $5.00
5 quarters = $1.25
.10+1.25+5=6.25
which number line represents the solution to [x-5]=1
Answers
Answer:
Step-by-step explanation:
If there are illustrations to given problems, please share those illustrations. Thank you.
The only value of x for which [x-5]=1 is true is 6: [6-5]=1
Steps to solve:
x - 5 = 1
~Add 5 to both sides
x - 5 + 5 = 1 + 5
~Simplify
x = 6
Best of Luck!
solve the inequality 7(v + 8) ≥ 7v + 1
Answers
Answer:
True all for v
Step-by-step explanation:
7(v+8)≥7v+17v+56≥7v+17v+56−7v≥7v+1−7v56≥156−56≥1−560≥−55All real numbers are solutions.
Write an exponential function y = abx for a graph that includes (–3, 16) and (–1, 4) f(x) = 2(0.5)x f(x) = 0.5(2)x f(x) = 4(0.3)x f(x) = 3(4)x
Answers
Answer: [tex]f(x)=2(0.5)^x[/tex]
Step-by-step explanation:
Given, the exponential function [tex]y = ab^x[/tex] for a graph that includes (–3, 16) and (–1, 4).
On putting these points, we will have
[tex]f(-3)=16=ab^{-3}\\\\ f(-1)=4=ab^{-1}[/tex]
Now,
[tex]\dfrac{f(-3)}{f(-1)}=\dfrac{16}{4}=\dfrac{ab^{-3}}{ab^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b^{-3}}{b^{-1}}\\\\\Rightarrow\ \dfrac{4}{1}=\dfrac{b}{b^3}=\dfrac{1}{b^2}\\\\\Rightarrow\ b^2=\dfrac{1}{4}\\\\\Rightarrow\ b=\pm\dfrac{1}{2}=\pm0.5[/tex]
since the multiplicative factor cannot be negative, so b= 0.5.
At b= 0.5
[tex]4=a(0.5)^{-1}\\\\\Rightarrow\ 4=a(\dfrac{1}{2})^{-1}\\\\\Rightarrow\ 4=a(2)\\\\\Rightarrow \ a=2[/tex]
So, the required function is [tex]f(x)=2(0.5)^x[/tex].
What is the Domain and Range *DON'T FORGET PARENTHESES AND BRACKETS*
Answers
Answer:
D= {-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6}
R={-6,-5,-4,-3,-2,-1,1,2,5)
Step-by-step explanation:
Which of the following theorems verifies that WXY=PME?
A. HA
B. HL
C. LA
D. AA
Answers
HL = hypotenuse leg
We see that WX = PM are the congruent legs (they are the same length due to the similar single tickmark). Also, XY = ME is the congruent pair of hypotenuses. The HL rule only works for right triangles, as the term "hypotenuse" would not apply for a non-right triangle.
The theorem used is HL.
What is theorem?
A theorem is a statement which has been proved true by a special kind of logical argument called a rigorous proof.
Given:
In both triangles
XW = MP (given)
XY = ME (given)
As, hypotenuse of both triangle is equal and leg of one right triangle are congruent to the hypotenuse.
Learn more about this concept here:
https://brainly.com/question/16967523
#SPJ2
PLEASE HELP!!!! I WILL GIVE BRAINLIEST AND LOTS OF POINTS!!! Please provide an explanation and answer only if you know the answer for sure. In the following diagram, BC is parallel to DE. What is the measure of angle х? **Angles are not necessarily drawn to scale.**
Answers
Answer:
x = 29
Step-by-step explanation:
If the lines are parallel
< CBA = < DAB due to the fact that they are alternate interior angles
42 = DAB
We also know that
DAB + BAC + CAE = 180 since they form a straight line
Substituting the given values
42+ 109 + x = 180
Combine like terms
151 + x = 180
151+x-151 = 180-151
x = 29
15 POINTS!!!!! How is a linear function affected when a constant is multiplied by y?
Answers
Answer:
a constant multiplied by y can affect the linear, because it determines a dependent variables.
Step-by-step explanation:
a linear relationship is a statistical term used to described a straight line relationship between two variables.
1. A man decided to buy new furniture from Futuristie Purniture for $2600, Futuriste Vurniture
gave the man two choices pay the entire amount in one payment with cash, or pay $1000 as a dews
payment and 1120 per month for two full years in the finanong plan. If the man chooses the
financing plan, how much more would he payl
Answers
Answer:
Also, there seem to be many typos in this question, I am trying my best to decipher them all :) next time maybe double check the wording thx!
Step-by-step explanation:
the question doesn't make sense because if you were to pay $1120 per month, for 2 years, you would go over the amount that you bought. I also am not sure what a dews payment is. Try wording it differently/check you spelling.
Sarah is organizing a party at the Vine House Hotel. The Vine House Hotel provides her with the following
information: $750 for the room rental plus $20 per person attending the party.
a. If C dollars is the cost of a party for P people, write an equation to determine the cost.
b. Sarah is inviting 60 people to the party. She calculates her cost to be $1200. Is she correct? Show your work and
explain.
Answers
Answer:
A) 750+20P=C
B) No, it will not be $1200. It will be $1950. $1200 is only the cost for the people and does not include the room rental.
Step-by-step explanation:
A) 750+20P=C
B) 750+20(60)=C
750+1200=C
1950=C
No, it will not be $1200. It will be $1950. $1200 is only the cost for the people and does not include the room rental.
Answer:
a. C = 750 + 20P
b. If Sarah is inviting 60 people to the party,
L.H.S. = 750 + 20 x 60
= 750 + 1200
= 1950 dollars
R.H.S. = 1200
because L.H.S is not equal to R.H.S.
no she is wrong
3) Y-3=4(n=2)
*to draw graph
Answers
Answer:
[see below]
Step-by-step explanation:
I am assuming that you mean: [tex]y-3=4(x-2)[/tex].
The equation is in point slope form...
[tex]y-y_1=m(x-x_1)[/tex]
The point used in the equation is (2, 3). 2 replaces 'x1' and 3 replaces 'y1'.
If you convert the equation in to slope intercept form:
[tex]y-3=4(x-2)\\\\y-3=4x-8\\\\y-3+3=4x-8+3\\\\\boxed{y=4x-5}[/tex]
You get -5 as the y-intercept.
So, the line you draw would pass through points (2,3) and (0,-5).
Hope this helps.
can someone please help? i don’t know how to solve this.
Answers
Answer:
Hey there!
We have the absolute value of x is greater than two.
Thus, to solve absolute value inequalities, we want to break the inequality down.
We break this down to
x>2
x<-2
Thus, we don't need to simplify this any further, and have our answer.
Hope this helps :)
Answer:
x >= 2 or x <= -2
Step-by-step explanation:
|x|>= 2
Means the absolute value of x is greater than or equal to two.
When we deal with absolute value, we can equivalently break into two cases
+x >= 2 => x >= 2
-x >= 2 => x <= -2
On the number line it looks like what is shown in the attached figure.
What is the value of 5 to the power of 4 over 5 to the power of 6? 1 over 25 1 over 5 5 25
Answers
Answer:
1/25
Step-by-step explanation:
[tex]\frac{5^{4} }{5^{6} } =\frac{1}{5^{2} } =\frac{1}{25}[/tex]
What is the slope of the line ?
Answers
Answer:
The slope is 1
Step-by-step explanation:
there's actually a trick you can do to find the slope. if you go from where the y-intercept is and go over to the x- intercept it will give you the slope hope this helps you
When you simplify,
10!/(10 - 3)!-3
is equal to:?
Answers
Answer:
120
Step-by-step explanation:
expand and calculate
10x9x8x7!/(10-3)!x3!
10x9x8x7!/7!x3!
reduce
10x9x8x7!/7!x3!
10x9x8/3!
Calculate the product
10x9x8/3!
Now Cacluate the factorial
720/3!
720/6
reduce
120
Answer: 120
Step-by-step explanation:
What is the measure of the angle between the minute and the hour hands, when they show 4:20 PM?
Answers
Answer:
Won't they be on the same place, so 360° i think
Answer:
10 degrees
Step-by-step explanation:
The line L is shown on the grid. Find an equation for L. Give your answer in the form y=mx+c
Answers
Answer:
y=4x-5
Step-by-step explanation:
y=mx+b,
You can identify that the y-intercept is -5.
Using rise/run, there is a rise of +4 and a run of +1, 4/1=4.
Slope = 4
Y-intercept=-5
Slope-intercept form of equation of line is, y = mx + c
Equation of line L is, y = 5x - 5
From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).
First we have to find slope (m) of line.
[tex]m=\frac{0-(-5)}{1-0} =5[/tex]
So, equation of line becomes,
[tex]y=5x+c[/tex]
Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.
We get, c = - 5
Thus, equation of line is, [tex]y=5x-5[/tex]
Learn more:
https://brainly.com/question/11552995