Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
[tex]First = 8\ marbles[/tex]
[tex]Second = 8\ marbles[/tex]
[tex]Third= 8\ marbles[/tex]
[tex]Fourth = 8\ marbles[/tex]
[tex]Fifth = 8\ marbles[/tex]
Total number of ways is then calculated as:
[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]
[tex]Total = 32768[/tex]
Evaluate [7 - (2 - 5(4 - 7) + 6)] + 7
30
-20
-42
-9
None of the above
7−(2−5(4−7)+6)+7
=7−(2−(5)(−3)+6)+7
=7−(2−(−15)+6)+7
=7−(17+6)+7
=7−23+7
=−16+7
=−9
Thus, the answer is -9
What is the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3, 5)?
Answer:
y = 1/3x + 4
Step-by-step explanation:
Make it into slope intercept form
3y = x + 6
y = 1/3x + 2
parallel = same slope
y = 1/3x + b, plug in (3,5)
5 = 1/3(3) + b, b = 4
y = 1/3x + 4
If Z= 2+2i, what is z^4?
Answer:
D. 64 (cos(pi)+isin(pi))
Step-by-step explanation:
Put 2+2i into trigonometric form, raise the r value to the power of 4, and multiply the angle value (theta) by 4 to get the equation of z^4. In this case, r was 2(sqrt2), which raised to the 4th power was 64. The angle value was pi/4, which multiplied by 4 was pi. That's how we get the answer:
64 (cos(pi)+isin(pi)). How this helps!
Following are the calculation to the given value:
Given:
[tex]\to Z= 2+2i[/tex]
To find:
[tex]Z^4=?[/tex]
Solution:
[tex]\to Z= 2+2i[/tex]
[tex]\therefore\\\\i^2= -1[/tex]
[tex](a+b)^2= a^2+b^2+2ab[/tex]
Square the given value:
[tex]\to Z^2= (2+2i)^2[/tex]
[tex]= 2^2+(2i)^2+2 \times 2 \times 2i\\\\= 4+4i^2+8i\\\\= 4-4+8i\\\\=8i[/tex]
When [tex]Z^2= 8i[/tex] then again square the value
[tex]\to ( Z^2)^2= (8i)^2\\\\\to Z^4= 64i^2\\\\\to Z^4= -64\\\\[/tex]
Therefore, the final answer is "-64".
Learn more:
brainly.com/question/25250313
A dog is riding in the front seat of a car on the freeway and has a mass of 4 kilograms. the car is traveling at 40 meters per second. What is the kinetic energy of the dog?
Answer: 3200 joules
Step-by-step explanation:
Just took the exam, did the work, double checked
1/5(x-2)=1/10(x+6) and
0.35(x+4)=0.25(x-6) please
Answer:
1) x=10 2) x= -7.25
Step-by-step explanation:
Im not sure
3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it
Answer:
r = 2
r = -1
Step-by-step explanation:
So first, we need to get this is order of: ax^2 + bx + c
3r^2 - 6 - 3r
3^2 - 3r - 6
the formula is: -b ± √b^2 -4ac/2a
"ax^2 + bx + c" = "3^2 - 3r - 6"
a = 3
b = -3
c = -6
-b ± √b^2 -4ac/2a
-(-3) ± √(-3)^2 -4(3)(-6)/2(3)
3 ± √9 + (-12)(-6)/6
3 ± √9 + (72)/6
3 ± √9 + 72/6
3 ± √81/6
3 ± 9/6
3 - 9/6
-6/6
-1 = r
3 + 9/6
12/6
2 = r
Formula down below --
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V
HELP WILL GIVE 15 POINTS
what is the range of this function and pls explain
Answer:
[tex]f(x)\geq -2[/tex]
Step-by-step explanation:
Range corresponds to the values of y on the y-axis. If we see the graph the minimum value of the y-coordinate is -2 and then it tends to increase from it. We do not know till where the y values will increase in the figure it shows 6 but it's still actually increasing we keep on tracing the graph but the minimum value will always remain the same which is -2 . So we can say that the range of the function is
[tex]f(x)\geq -2\\[/tex]
Where f(x) is the function and since the values of y on the y-axis increase from -2 we can say that the function has the range of values greater than or equal to -2
what is y= 1/3 x - 5
(x + y)3 - (x - y)3 when x = 2 and y=-1
Step-by-step explanation:
When x = 2 and y = -1,
(x + y)³ - (x - y)³
= (2 - 1)³ - [2 - (-1)]³
= (1)³ - (3)³
= 1 - 27
= -26.
a professional tennis court is a rectangle that is 120 feet long and 60 feet wide. what is the area of the court? what is the perimeter?
Answer:
The area is 7200 square feet and the perimeter is 360 feet.
Step-by-step explanation:
Formulas (for easier reference):
Area of rectangle: length × width
Perimeter of rectangle: length + width + length + width
We can just apply the formulas.
Area of court = 120 × 60
= 7200 square feet
Perimeter of court = 120 + 60 + 120 + 60
= 360 feet
lisa sets a weekly goal of jogging 18 miles. after 3 days she has jogged 6 5/8 miles. How many more miles must she jog to reach her goal ?
choices:
11 5/8
12 3/8
11 3/8
12 5/8
PLEASSE HELP BFKDEK
Answer: 11 3/8
18 - 6 5/8 = 11 3/8
Please answer and telll me why no pog explanation please
Answer: D
Step-by-step explanation:
Please help really quick, I'll give Brainliest. You only have to do Q1, but more is welcome.
Answer:
1) 90+30+x=180
x= 60
2) 2x+90=180
x= 45
3) angle SPQ
90+55+ SPQ=180
SPQ= 35
Therefore as op=os=radii= isosceles triangle
angles OPS=OSP
SPQ +QPO=OSP
35 + x = 55
x=20
4)110+ 90+90 +x=360
x=70
5)90 +90 +45+x=360
x=135
hope it helped.
At a concert, 20% of the audience were teens. If the number of the teens were 360, What was the total number of people in the audience?
Jonathan is building a fence for his chickens. The length of a rectangle is
equal to triple the width. The perimeter(P=2L+2W) is 72 centimeters. What
is the width of the fence?
Answer:
Width = 9
Step-by-step explanation:
(P=2L+2W) = 72
L = 3W<- length is triple the width
(P = 2(3W) + 2W) = 72
P = 8W =72
W = 9
What is the equation of the line in slope-intercept form?
Answer:
y=5/2x+5
Step-by-step explanation:
y=mx+b
m=slope=rise/run=5/2
b=y-intercept=5
Answer:
Step-by-step explanation:
how many times does 50 go into 102?
Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2
Step-by-step explanation: 2 times 50= 100
The ratio of buckets of yellow paint to buckets of red paint in the store is 3 to 4. There are 60 buckets of yellow paint. How many buckets of red paint are in the store?
Answer:
80 buckets of red paint
Step-by-step explanation:
Given
The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4
Total ratio = 3 + 4 = 7
Amount of yellow paint = 60
Required
Amount of red paint.
First get the total amount of paint used.
3/7 * x = 60
x is the total paint used
3x/7 = 60
3x = 7*60
x = 420/3
x = 140 buckets of paint
Amount of red paint = Total - Amount of yellow paint
Amount of red paint = 140 - 60
Amount of red paint = 80
Hence there are 80 buckets of red paint in the store
The value of the digit in the hundreds place in the number 587,349 is 1/10 the value of the digit in the thousands place in which number? *
Answer:
3000 is your answer
Step-by-step explanation:
The 3 in the hundreds place if the number 587,349 has a value of 300. This 300 is 1/10 the value of the number you're looking for, so if x is the number you're looking for, then
[tex]300 = \frac{1}{10} x[/tex]
[tex]300 \times 10 = \frac{1}{10} x \times 10[/tex]
[tex]3000 = x[/tex]
x is your answer.
The amount of tax is $3.40, which is 5% of the food bill. How much was the food bill not including the tax?
If Simon wants to leave a 20% tip on the amount of the food bill before tax, how much should he leave for a tip?
What is Simon’s total bill including tax and tip? What percent of the food bill is this?
Answer:
You are told tax is $3.40 which is 5% of the total priceWe want to find the original food bill not including the tax of $3.40We also want to find the tip quantity based on the original food billSo X * 0.05= 3.40 Gives us X= 68 Hence the original bill was $68Now $68* .20 = $13.6I'm confident you can answer the rest with the information I've provided.What is the domain of f?
Choose 1 answers
All real values of r such that=0
All real values of such that=0
All real values of such that r < 0
All real values of r such that >0
All real values of
Answer: C) All real values of x such that [tex]x \le 0[/tex]
In other words, x must be 0 or smaller.
===================================================
Explanation:
The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.
So,
[tex]-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0 \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2 \ \text{ ... divide both sides by 2}\\\\x \le 0[/tex]
As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.
But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.
Whats the length of the wire
Answer: 45
Length is how long something is and the triangle shows 45 as the length
What is the solution for the system below?
у
4
-2
0
2
4
4
(2,0)
(0-2)
0 (1-1)
Answer:
the solution is (1,-1)
Step-by-step explanation:
the lines meet at (1,-1)
please help its due in 20 minutes
Answer: I find the x which is -1/-2 y=1 Hope this help
Step-by-step explanation:
(4,3) (2,2) 3=(-1/-2)(4)+b
M=y2-y1 3=2+b
x2-x2 -2 =-2
2-3 = -1 1=b
2-4 =-2
X=-1/-2
Y=mx+b
Which expression shows how 8⋅54 can be rewritten using the distributive property?
8⋅50+8⋅4
8⋅50+8⋅54
4⋅50+4⋅4
50⋅8+50⋅4
Answer:8 * 54 = 8 * 50 + 8 * 4 = 8(50 + 4)
Step-by-step explanation:
Write an expression Equivalent to 5X -40
Answer:
5(x+8)
Hope this helps
:3
HELPPPP i don’t understand this
Answer:
60 degrees
Step-by-step explanation:
1. Find angle t. A and T are supplementary angles so both added together should equal 180. 180 - 120 = 60. Angle t is 60 degrees
2. All three angles inside the triangle should add up to 180 degrees. 60 +60 = 120 and 180 - 120 = 60. Angle s is also 60 degrees
Hope this helps and pls mark brainliest.
12 points
8. Javier worked out the following on his math homework: "What
equation best represents the relationship between x and y in the graph?"
Javier's answer was y= - 4x - 2. Is he correct? If not, explain what he did
wrong AND give the correct answer. (This question will be hand graded) *
1096
2716810
M
Anna is trying to figure out how much her 10-mile taxi ride is going to cost. It costs $5 to be picked up by the taxi, and each mile costs an extra $2. Which equation should Anna use to calculate her cost?
y= 2x+5
y= 5x+2
y= x^2+5x+10
y=(2)^x
Answer:
y=2x+5
because y is the final cost, x is the amount of miles times 2 since each mile costs $2, and an addition $5 for the taxi-pickup
Given that sin(x) find cos (90 - x). A. 4/11 B.7/11 C. 11/7 D. 11/4. Please select the best answer from the choices provided.given that sin with x in (equals 7/11 find COS with 90 - x in) a is 4/11 B is 7/11 C
Answer:
7/11
Step-by-step explanation:
sin(Ф)=cos(90-Ф)
∴cos(90-x) = 7/11