Answer:
C. 36
because can not be expressed as a ratio
Alabama has 140 state legislators representing its population of 4 million people. Pennsylvania has 12 million people. How many legislators should it have for representing that is proportional to Alabama?
A) Pennsylvania should have 1,680 legislators
B) Pennsylvania should have 560 legislators
C) Pennsylvania should have 140 legislators
D) Pennsylvania should have 420 legislators
Someone Please Help Me ( It’s Not A )
Answer:
420
140 x 4 = 420
Step-by-step explanation:
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 10 kg weighs 80 N. Calculate the mass of another object that weighs 72 N.
Answer:
9kg
Step-by-step explanation:
If a 10kg object exerts a weight of 80N, it means that the gravitational acceleration is 8N/kg. This means that the weight of an object will be 8x its mass. So, if we want to find an object's mass from its weight, we simply need to divide it by 8. 72/8=9. The other object has a mass of 9kg.
Hope this helped!
check whether (x+7) is a factor of (x^2 +4x - 24). Give reason
what is th nth term of 4 1 -2 -5 -8
Answer:
-3
Step-by-step explanation:
Answer:
here:- a=4; d:- (1-4)=(-2-1)=>-3
so, nth term= a+(n-1)d
=> 4+(n-1)-3=>4-3n+3=>7-3n
Step-by-step explanation:
nth term=(7-3n)
Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answer:
0.91924
Step-by-step explanation:
Given that :
A normal distribution has ;
Mean (m) = 109.0 inches
Standard deviation (σ) = 10 inches
Sample size (n) = 25
Probability that randomly picked years is less than 111.8 inches
Using the Zscore relation :
Zscore = (x - m) / (σ/√n)
x = score = 111.8 inches
Zscore = (111.8 - 109.0) / (10/√25)
Zscore = (2.8) / (10/5)
Zscore = 2.8 / 2
Zscore = 1.4
P(Z < 1.4) = 0.91924 ( using z probability calculator)
P(Z < 1.4) = 0.91924
For w(x)=-2x+7, find the value of x which w(x)=-3
Answer:
x = 5
Step-by-step explanation:
-3 = -2x+7
-10 = -2x
5 =x
The value of x from the given function is 5.
The given function is w(x)=-2x+7..
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Now, put w(x)=-3 in the function and simplify.
That is, -3=-2x+7
⇒ 2x=7+3
⇒ 2x=10
⇒ x=5
Therefore, the value of x from the given function is 5.
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Imagining that she’s taking a summer job working at a local entertainment complex your hourly wage is six dollars you will work 40 hours per week and be paid every other week for a total of 16 weeks use the figure provided estimate your gross pay for the summer and each pay period
diride 660cm in the ratio of 5:6
Answer:
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Step-by-step explanation:
Equations
We are required to divide 660 cm in the ratio 5:6, or 5/6.
Let's call:
x = first part of 660
660 - x = second part of 660
The ratio between them is 5/6.
[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]
The above equation will result in x as the smaller part of 660.
Multiply by (660-x)*6 to eliminate denominators:
[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]
Operating:
[tex]6x=(660-x)*5[/tex]
[tex]6x=3300-5x[/tex]
Simplifying:
[tex]6x+5x=3300[/tex]
[tex]11x=3300[/tex]
Solving:
[tex]\displaystyle x=\frac{3300}{11}=300[/tex]
The other part is 660 - 300 = 360
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
The manager of a restaurant determined that the odds against a customer ordering dessert are 11/12 . What is the probability of a customer ordering dessert?
Answer:
1 out of 12
Step-by-step explanation:
12-11=1
BRAINLIEST Multiply each side by the common denominator
Answer:
c. x² + 2x -5 = 0
Step-by-step explanation:
Given expression;
[tex]\frac{5}{x}[/tex] = [tex]\frac{x + 2}{3}[/tex]
Unknown:
The quadratic equation equivalent to this expression:
Solution:
The common denominator here is 3x;
So, multiply both sides by 3x
[tex]\frac{5}{x}[/tex] x 3x = [tex]\frac{x + 2}{3} x[/tex] 3x
5 x 3 = (x + 2)x
15 = x² + 2x
So;
x² + 2x - 15
The quadratic expression is x² + 2x - 15
What’s the y intercept
Answer:
y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Given the function h(x) = x2 – 7x + 8, determine the average rate of change of
the function over the interval 2 < x < 10.
The average rate of change of the function over the interval 2 < x < 10 is 5
How to determine the average rate?The function is given as:
h(x) = x^2 - 7x + 8
Calculate h(2) and h(10)
h(2) = 2^2 - 7 * 2 + 8
h(2) = -2
h(10) = 10^2 - 7 * 10 + 8
h(10) = 38
The average rate is then calculated as:
Rate = (h(10) - h(2))/(10 - 2)
This gives
Rate = (38 + 2)/(10 - 2)
Evaluate
Rate = 5
Hence, the average rate of change of the function over the interval 2 < x < 10 is 5
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You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play.
1) Write an equation to represent this situation.
2) How much will it cost you to play the game for 5 hours? Show your work.
Answer:
Step-by-step explanation:
1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)
2. Put in the value of x(substitute it).
$10+$3.50x
$10+$3.50(5)
$10+$17.50
Answer-$27.50
Hope it helps!
1.a) Convert 81° into grade.
10
Step-by-step explanation:
I hope it helps man this much .
I just need some one to explain how to do it ,
Answer:
f(x) = (x^2-16) / (x+3)
f(x) has no horizontal asymptote.
Vertical assymptote is x = -3
Dividing the numerator by the denominator gives x - 3 remainder -7. Therefore, the oblique assymptote is x - 3.
the vertical asymptotes of the function f(x) = (5x + 1) / (x^2 + x - 6) = (5x + 1)/(x - 2)(x + 3) is x = 2 and x = -3.
the zeros of the function f(x) = (3x^2 - 3x - 6 ) / (3x - 6) = (3x^2 + 3x - 6x - 6) / (3x - 6) = (3x(x + 1) - 6(x + 1)) / (3x - 6) = (3x - 6)(x + 1)/(3x - 6) = x + 1 is x = -1
the function f(x) = (x^2 + x - 12) / (x - 3) = (x - 3)(x + 4) / (x - 3) is --> disc = 3, x-int = (-4, 0), y-int = 4? basic shape = straight line
Step-by-step explanation:
Hope this helps! brainliest please
Melanie needs 5,000 chocolates for an event. So far, she has bought 2cases of 1,125 chocolates each. How many more does she need?
Answer:
2,750
Step-by-step explanation:
2x1,125=2,250, 5,000-2,250=2,750
Please and wet the question. Thanks
Answer:
1.0.00015*0.33333...
2.(3^4*2^6)
HOPE THIS HELPS
Help me three questions please really easy I promise answer
Answer:
1.y=-2x+7
2. no
3.yes
Step-by-step explanation:
Need help ASAP with my math
Answer: The answer is -2
Step-by-step explanation: I want points and trust me this answer is correct
From the table below, determine whether the data shows an exponential function. Explain why or why not.
х
3 1 -1 -3
у
1 2 3 4
a. No; the domain values are at regular intervals and the range values have a common sum 1.
b. No; the domain values are not at regular intervals.
C. Yes; the domain values are at regular intervals and the range values have a common factor 2.
d. Yes; the domain values are at regular intervals and the range values have a common sum 1.
Answer:
B because the domains repeat themselves so it can not be a function
No; the domain values are not at regular intervals.
The correct option is b.
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
In an exponential function, the domain values are usually at regular intervals, and the range values have a common factor or a common sum.
In the given data, the domain values are not at regular intervals.
The difference between 3 and 1 is 2, and the difference between 1 and -1 is 2, but the difference between -1 and -3 is -2.
This indicates that the domain values are not at regular intervals, which means that the data cannot be modeled by an exponential function.
Additionally, the range values also do not have a common factor or a common sum. The difference between consecutive y-values is 1, which is not a constant factor or sum.
Therefore, the data cannot be modeled by an exponential function.
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A system of equations is shown:
2x = -y + 6
--4x + 3y = 8
What is the solution to this system of equations?
0 (-1,-4)
O (1.4)
(4, 1)
(-4,-1)
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Given two equations are :
2x = - y + 6.-4 x + 3y = 8 .We may write them as ,
2x + y - 6 = 0 .................(i) 4x - 3y + 8 = 0 ...............(ii)Multiplying equⁿ (i) by 2 :
⇒ 2(2x + y - 6 ) = 0.
⇒ 4x + 2y - 12 = 0 .....................(iii) .
Subtract equⁿ (ii) from equⁿ (iii) :-
⇒ 4x + 2y - 12 = 0
ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]
__________________
⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ
⇒ 5y = 20.
⇒ y = 20/5.
⇒ y = 4
Put this value in (i) to obtain x .
⇒ 2x + y - 6 = 0.
⇒ 2x +4 - 6 = 0.
⇒ 2x - 2 = 0.
⇒2x = 2 .
⇒ x = 2/2.
⇒ x = 1 .
Hence the value of x is 1 & y is 4.
[tex]\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}[/tex]
PLEASE HELP ASAP I GIVE YOU BRAINLIEST AND 20 POINTS
can a system of linear equations be inconsistent and dependent? explain.
Answer:
No
Step-by-step explanation:
Inconsistent means it has no solution, which means they do not intersect
Dependent means it is the same line
You cannot have both the same line and not intersecting.
What is 3/4 ÷ 1/2 ?
plssssssssssssssssssssssss help for test
Your math class is collecting canned food for a local food drive. The goal is to collect at least 130 cans but no more than 250 cans due to space limitations. There are 24 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.
the first thing we must do is define variables.
We have then:
n: number of cans that each student must bring.
We know that:
The teacher will bring 5 cans
There are 20 students in the class
At least 105 cans must be brought, but no more than 205 cans
Therefore the inequation of the problem is given by:
105 < 20n + 5 <205
Answer:
the possible numbers n of cans that each student should bring in is: 105 < 20n + 5 < 205
Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66
Answer:
D
Step-by-step explanation:
5.3x − 8.14 + 3.6x + 9.8
group the numbers on one side and the x's on the other
5.3x + 3.6x - 8.14 + 9.8
solve
8.9x + 1.66
Trevor is 8 1/2 inches shorter than his dad. If his dad is 6 1/4 feet tall. How tall is trevor?
Answer:
66.5 in or 5.5 ft (rounded)
Step-by-step explanation:
Answer:
5 ft 6 1/2 inches
Step-by-step explanation:
6 1/4 ft
1/4 ft is 3 inches
6 ft 3 inches
Subtract 8 1/2 inches
6 ft 3 inches
- 8 1/2 inches
------------------------------
borrow from the ft ( 1 ft = 12 inches)
5 ft 3+12 inches
- 8 1/2 inches
------------------------------
5 ft 15 inches
- 8 1/2 inches
------------------------------
5 ft 6 1/2 inches
Given f (x) = 3x - 6 and g (x) = 2x²
1. Find: f (g (x))
2. Evaluate: f ( g ( -2))
PLEASE HELP ASAP!
Answer:
1. 6x^2-6
2. 18
Step-by-step explanation:
1. f(g(x))= 3(2x^2)-6= 6x^2-6
2. f(g(-2))= 3 (2(-2)^2)-6= 3(2(4))-6= 3(8)-6=24-6=18
What is 715 divided by 25 and what is 514 divided by 28?
Plsss help I really need it for my HW
Answer:
715 divided by 25 is 28.6, while 514 divided by 28 is 18.35. Hope this helps!
Step-by-step explanation:
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
1.When x = 3, both expressions have a value of 30.
2.When x = 5, both expressions have a value of 42.
3.When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
4.When x = 2, both expressions have a value of 15, and when x = 6, both expressions 5.have a value of 39.
Answer:
2
Step-by-step explanation:
I think
The length of a rectangle is 4 more than the width. The area is 357 square centimeters.
Find the length and width of the rectangle
Answer:
17*21 = 357
Step-by-step explanation:
Firstly, set up your equation.
x*(x+4)=357
Multiply X by (x+4)
x^2+4x=357
You then subtract 357 from both sides
x^2+4x-357=0
Simplify using the quadratic formula shown, if you need assistance on solving this equation put it into a online calculator, or photomath as it shows the steps taken to solve it.
[tex]\frac{-4+\sqrt{4^2-4\cdot \:1\cdot \left(-357\right)}}{2\cdot \:1}\\[/tex]