Answer:
6
Step-by-step explanation:
(2.4×10³)×(3×10^x)=7.2×10^9
(3x10^x)=(7.2×10^9)/(2.4×10^3)
3×10^x=3×10^6
10^x=10^6
*when bases are same ,powers are equated*
thus x=6
If x=2, y=4, m= -1, and n=3 find the value of :
X^m+n * y^n-m/ x^m-n * y^n+m
Answer:
The value is [tex]\frac{1}{16384}[/tex]
Step-by-step explanation:
Here we need to find
[tex]\frac{x^{m+n}\cdot y^{n-m}}{x^{m-n}\cdot y^{n+m}}=x^{m+n-(m-n)}\cdot y^{n-m-(n+m)}\\\\=x^{2n}\cdot y^{-2m}\\\\=2^{2\cdot-1}\cdot 4^{-2\cdot3}\\\\=\frac{1}{2^2\times4^6} \\\\=\frac{1}{16384}[/tex]
Type the expression that results from the following series of steps:
Start with 6 and subtract
z
You are thrown 4 fastballs and you must hit them in a fair zone to count.
If you hit al 4 in a fair zone, you win the big prize
If you hit 3 or 2 in a fair zone, you win a medium size prize
If you hit 1 in the fair zone, you get the small prize
If you hit zero, you are not a winner and receive nothing
Hint Create a tree diagram to help calculate the probabilities.
What is the probability you will win the big prize?
O 1/5
O 3/32
none of the above
2/9
1/16
Using the binomial distribution, it is found that there is a [tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.
For each ball, there are only two possible outcomes, either it is hit or it is not. The probability of hitting a ball is independent of any other ball, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
4 balls are thrown, hence [tex]n = 4[/tex]0.5 probability of hitting each of them, hence [tex]p = \frac{1}{2}[/tex]You win the big prize if you hit 4 balls, hence, the probability is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.\left(\frac{1}{2}\right)^{4}.\left(\frac{1}{2}\right)^{0} = \frac{1}{16}[/tex]
[tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.
A similar problem is given at https://brainly.com/question/24863377
Answer:
1/16
Step-by-step explanation:
yurr
What is x, the distance between points A and A'? 2. 4 units 4. 8 units 13. 6 units 14. 4 units.
The distance between points A (3, -5) and A' (2, -3) is 2.4 units.
Given that,
The points A (3, -5) and A' (2, -3).
We have to determine,
The distance between point A and A'.
According to the question,
The distance between two points is determined by using the distance formula.
[tex]\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2[/tex]
Then,
The distance between points A (3, -5) and A' (2, -3) is,
[tex]\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units[/tex]
Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.
For more details refer to the link given below.
https://brainly.com/question/8069952
Answer:
13.6 units
Step-by-step explanation:
Edge
hey guys please help me
Answer:
Well its B hope this one helps :)
Answer:
B
Step-by-step explanation:
8 4/8- 5 5/6= 2 2/3, or 2 32/48
Tell whether the ordered pair (2, 6) is a solution of the system of linear equations. x+y=8 3x-y=0
Answer:
Yes, it is a solution.
Step-by-step explanation:
Plug in 2 into x and 6 into y, because 2 is the x value of the ordered pair and 6 is the y value of the ordered pair.
1st linear equation: 2+6=8, this is true.
2nd linear equation: 3x2-6=0, this is also true.
Therefore, since the ordered pair is a solution to both equations, it is a solution of the linear system.
(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $58. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answer:
58= 2x +12
each pass is 23 dollars
Step-by-step explanation:
let x represent the cost of the passes
58= 2x + 12
solve for x
58-12 = 2x +12 -12
46 = 2x
46/2 =2x/2
23 = x
WILL GIVE BRAINLIEST!
what are the values of a and b so the system of equations has infinitely many solutions?
y= -1/2x+b
y= ax + 15
Answer:
a: -1/2
b: 15
Step-by-step explanation:
A system that has infinite solutions is the same line on top of itself.
Hope that helps
Now simplify the expression.
(2x − 3)(5x + 6)
Answer:
10x+18
Step-by-step explanation:
2x*5x=10x
-3*6=18
10x+18=
x=1.8
What is 0.02349 written in standard form to 3 significant figures
Answer: The answer is (B)
Explanation: The answer is (B) because, there are 2 zeros so that means that there would have to be a 2 behind the 10 and then there is 2,3,4,and 9. We take out the 9 and use the other numbers, bring over the decimal and now you have [tex]2.34 x 10^{2}[/tex] .
Let's cancel out from left to right
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
HELP ME PLEASE GUYS! :)
Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.
Hope this helps! :)
Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $15.75. How much would Marco spend on 5 bags of cat food?
Answer:
26.25
Step-by-step explanation:
26.25
Answer:
5 bags = $26.25.
Explanation
First, you need to find out how much $ it takes to buy ONE(1) bag of cat food. To find out, you have to do 15.75 divided by 3 bags = $5.25.
Thats how much cash($) it takes to buy ONE(1) BAG. To buy FIVE(5) bags, you have to multiply 5.25 x 5 = $26.25.
If each bag of cat food is = $5.25 dollars each, how much dollars will he have to pay for 5 bags?
Situation
5.25 x 5 = 26.25
Brian and Andie were calculating their total money saved to see if they could buy a game to share. Andie notices that she has 24 more dollars than Brian. If together they have $72, how much money does Brian and Andie have?
Answer:
Andie has 48 and Brian has 24
hope it's correct
Can someone plzzzz help you have to enter the answer like this:26 but that is not the answer
Answer:
84 cm²Step-by-step explanation:
Total surface consists of 2 right triangles and 3 rectangles.
Sum of their areas is the total surface area.
Area of 2 triangles:
A = 2*(1/2)*4*3 = 12 cm²Area of 3 rectangles:
A = 6*(3 + 4 + 5) = 6*12 = 72 cm²Total surface area:
S = 12 + 72 = 84 cm²Write 90 as a product of primes. Use index notation when giving your answer.
Answer:
90 =3 × 3 × 5 × 2.
Step-by-step explanation:
............
Donald plays with his wood cubes and decides to make a pyramid
line has equation 3x + y = 15
Find the gradient of the line.
Answer:
-3
Step-by-step explanation:
We can add -3x to put the equation into slope-intercept form.
y = -3x +15
The gradient of the line (slope) is the coefficient of x: -3.
The gradient is -3.
Taylor left to walk the dog at
4:25. She got back at 5:00. How
long was the dog's walk?
Answer:
Taylor walked 35 minutes
Step-by-step explanation:
4:25
+:35
=5:00.
once a clock hits 60 it's automatically turned to the next hour so since 25 + 35 = 50 it's automatically turned to 5:00
one of 50 states is chosen at random. What is the probability of not choosing a state that begins with the letter n?
Answer:
8 states start with the letter N. Because you’re looking for the amount of states not starting with the letter N, we’ll subtract 8 from 50. Then you’ll put that over the total amount of states. So you should end up with 42/50 which will simplify to 21/25. Hope this helped!
Step-by-step explanation:
The following is a linear inequality: y<6x-4
In the graph, will the line be solid or dashed?
1: Solid
2: Dashed
Answer:
it maybe solid
hope I'm correct if not then I'm sorry but I'm pretty sure it is solid
WILL GIVE BRAINLIEST!
Please look at the photo for the question !!!
Answer:
-2
Step-by-step explanation:
the range is pattern is -4
[tex]\text{The answer is}~ -4~ \text{because the relation is}~ y = -4x + (-6)[/tex]
What is the equation of the line that passes through the point (-6,1) and has a
slope of 1?
Answer:
y = x + 7
Step-by-step explanation:
If the slope is 1, the original equation is y = mx + b, with m being 1.
Now substitute -6 and 1 for x and y and solve for b
1 = 1(-6) + b
1 = -6 + b
7 = b
Put it all together:
y = x + 7
please help!!! ILL GIVE U BRAINLIEST.
Answer:
f(x) is translated by 4 units left.
Step-by-step explanation:
did it help ?
well, hope it helps !
Solve each equation.
2y=7(y−2)+4
y =
4x=6−2(2−x)
x =
Answer:
y=2 and x=1
Step-by-step explanation:
2y=7y-14+4
2y-7y=-14+4
-5y=-10/-5
y=2
4x=6-4+2x
4x-2x=6-4
2x=2/2
x=1
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super Savings Coupon of 45%, how much did Ms. Rowlen pay for the TV?
If she used a coupon of 45%, the price markdown would be 116.55. You must subtract the markdown from the original cost to discover the amount she had to spend.
259.00 - 116.55 = 142.45
So, Ms Rowlen had to spend 142.45 on the TV.
how do i find this find x and y
Answer:
x = 20, y = 10
Step-by-step explanation:
Triangle RTS is isosceles. You can tell because both of the base angles have the same measure. That means that RT must also be 15. Triangle UTR is equilateral because all 3 angles have the same measure. UT is x - 5 and is equal to RT which is 15, so x - 5 = 15, and x is 20.
Since triangle UTR is equilateral, angle URT is 60 degrees. Angle SRT is linear with angle URT, so angle SRT is 120 degrees. That means the other 2 angles must add to 60 degrees, making each one worth 30 degrees. Angle RTS says 3y, so 3y =30, and y = 10
3⎜x + 4⎟ + 2 ≥ 5
plS
Step-by-step explanation:
3×|x + 4| + 2 >= 5
you handle this basically like an equation :
3×|x + 4| >= 3
|x + 4| >= 1
because of the absolute value we have 2 solutions for that :
x + 4 = 1
and
x + 4 = -1
as in both cases the absolute value turns the result into 1.
so,
x + 4 = 1
x = -3
x + 4 = -1
x = -5
so, to satisfy the inequality
x >= -3 or x <= -5
please consider : if the inequality would have been > instead of >=, we would have had to use > and < for the solution.
What is an expression that is equivalent to 4 (2x-3) -3x.
Answer:
5x-12
Step-by-step explanation:
4(2x-3)-3x = 8x-12-3x=5x-12
Answer:
5x-12
Step-by-step explanation:
9.608 x 4.09 I need help plzz I will get a f on thing help pls asap
Answer:
39.29672 hehe
I need helpppopppppppppppp
try it use your brain you can do it
Step-by-step explanation:
im not sure how to explain