Answer:
[tex] {z}^{ \frac{ - 1 + 5}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{ \frac{4}{2} } \div {z}^{ \frac{1}{3} } \\ {z}^{2 - \frac{1}{3} } \\ {z}^{ \frac{6 - 1}{3} } \\ {z}^{ \frac{5}{3} } [/tex]
Find (a) the circumference and (b) the area of the circle. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest whole number, if necessary.
PLEASE HELP ASAP
A circle with a diameter of 70 inches.
(a) circumference: about
in.
(b) area: about
in.²
Answer:
C = pi d
C = 3.14 × 70
C = 219.8 inches
A = pi r²
A = 3.14 × 1,225
A = 3,846.5
Can someone help with this
Answer:
20
Step-by-step explanation:
There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.
a) The probability of selecting a blue marble is P ( B ) = 1/4
b) The probability of selecting a green marble is P ( G ) = 1/6
c) The probability of selecting not a green marble is P' ( G ) = 5/6
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the number of blue marbles = 3
Let the number of red marbles = 6
Let the number of green marbles = 2
Let the number of black marbles = 1
So , the total number of marbles = 12
So , the probability is given as
The probability of selecting a blue marble is P ( B ) = 1/4
The probability of selecting a green marble is P ( G ) = 1/6
The probability of selecting not a green marble is P' ( G ) = 5/6
Hence , the probability is solved
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The complete question is attached below :
There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.
Amy buys eight apples that each weigh 150 grams. She notices that they are on sale for $3.00 per kilogram, how much will the apples cost? Prove your thinking.
Answer:
$3.60
Step-by-step explanation:
8 apples × 150 grams
1200 grams
1 kilogram = 1000 grams
x. = 1200 grams
X = 1.2 kg
1kg = $3.00
1.2kg =$3.6
The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Amy buys eight apples that each weigh 150 grams.
And, She notices that they are on sale for $3.00 per kilogram.
Now,
Total weight of the apples is,
⇒ 8 × 150 grams
⇒ 1200 grams
⇒ 1.2 kilograms
Since, She notices that they are on sale for $3.00 per kilogram.
Hence, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.00 × 1.2
⇒ $3.60
Thus, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
Learn more about the multiplication visit:
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which choices are equivalent to the exponential expression below?
Answer:
The answer is
B
D
F
Step-by-step explanation:
Squaring a fraction is like squaring a whole number really so you just square the fraction by multiplying it by itself.
Can someone help me find the vertex?
Answer:
vertex = (2, 264)
Step-by-step explanation:
i just used desmos so um yeah im sorry
If x varies directly as y and x = 74 when y = 10, find x when y = 4.
Answer:
The value of x is 21 .
Step-by-step explanation:
We are given that x varies directly as y
--- A
We are given that x = 7 and y = 28
Substitute the values in A
7 = 28k
Now equations becomes :
y = 84
Hence The value of x is 21 .
#Learn more:
Find the value of y for a given value of x, if y varies directly with x.
If y = −252 when x = 84, what is y when x = 74
Step-by-step explanation:
A yogurt shop offers five different flavors of frozen yogurt and twenty different
toppings. How many choices are possible for a single serving of frozen yogurt with
one topping?
Ellie want to buy new shoes that is in sale for $80. She saved $60. How much more money does she need
Answer:
$20
Step-by-step explanation:
New shoes = $80
What Ellie Saved = $60
80 - 60 = 20
To make sure this is correct simply add 20 to 60.
60 + 20 = 80
Circumference:
Circumference:
LEARNING TASK 4. Solve the given problems
PROBLEM I. Veldora walked around the circular pool. The circular pool
has a diameter of 3 meters. What is the distance that Veldora has
walked?
Step 1 - Read and understand
What is asked in the problem?
What do you know of the problem?
Step 2 - Plan
What must be done to solve the problem?
Step 3 - Solve and answer
Carry out the plan & write the final answer.
Step 4 - Check
Is the answer correct?
PROBLEM 2. How much greater is the circumference of the circle with a
diameter of 12m than another circle with a radius of 5m?
Step 1 - Read and understand
What is asked in the problem?
What do you know of the problem?
Step 2 - Plan
What must be done to solve the problem?
Step 3 - Solve and answer
Carry out the plan & write the final answer
Step 4 - Check
Is the answer correct?
ob diffront
help po plsss
Answer:
9.42 m
6.28m
Step-by-step explanation:
to determine the distance walked, calculate the circumference of the circular pool
circumference of a circle = πD
π = 3.14
D = diameter
3 x 3.14 = 9.42 m
Difference in circumference = π( diameter of bigger circle - diameter of smaller circle)
diameter of smaller circle = 5 x 2 = 10
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x ( 12 - 10) = 6.28
Find the height of triangle
Answer:
60
Step-by-step explanation:
First, divide 120 by two and get 60. Now do 120-60 to get 60. Set up proportion
60/x = x/60.
Cross multiply
x^2 = 3600
and now find the square root of 3600
60
Which of the following is the Perpendicular Bisector Theorem?
A. lf a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
B. Ifa point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.
C. lf a point is proportional from the endpoints ofthe segment then it lies on the perpendicular bisector of that segment
D. f a point is equidistant from the endpoints of the segment, then it lies on the perpendicular bisector of that segment.
Answer:
its Ifa point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.
Find the equation of the line through the points (-3,3) and (3,5) using point-slope form. Then rewrite the equation in slope-intercept form.
Given:
A line passes through the points (-3,3) and (3,5).
To find:
The equation of the line by using point slope form, then rewrite the equation in slope-intercept form.
Solution:
It is given that the line passes through the points (-3,3) and (3,5). So, the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{5-3}{3-(-3)}[/tex]
[tex]m=\dfrac{2}{6}[/tex]
[tex]m=\dfrac{1}{3}[/tex]
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope.
The point slope form of the given line is:
[tex]y-3=\dfrac{1}{3}(x-(-3))[/tex]
[tex]y-3=\dfrac{1}{3}(x+3)[/tex]
The point slope form of the given line is [tex]y-3=\dfrac{1}{3}(x+3)[/tex].
We need to rewrite this equation in slope intercept form, i.e., [tex]y=mx+b[/tex], where m is slope and b is y-intercept.
The above equation can be rewritten as:
[tex]y-3=\dfrac{1}{3}(x)+\dfrac{1}{3}(3)[/tex]
[tex]y-3=\dfrac{1}{3}(x)+1[/tex]
[tex]y=\dfrac{1}{3}(x)+1+3[/tex]
[tex]y=\dfrac{1}{3}(x)+4[/tex]
Therefore, the slope intercept form of the given line is [tex]y=\dfrac{1}{3}(x)+4[/tex].
2(x + 10) = -60 solve for x
Answer:
2x + 20 = -60
-20 -20
2x = -80
Divide by 2 on both sides.
X = -40
Answer:
-40
Step-by-step explanation:
2(x + 10) = -60
step 1 distribute the 2 to the x and 10
2 * x = 2x
2 * 10 = 20
we now have 20 + 2x = -60
step 2 subtract 20 from each side
20 - 20 cancels out
-60 - 20 = -80
we now have 2x = -80
step 3 divide each side by 2
2x / 2 = x
-80 / 2 = -40
we're left with x = -40
X^2-x-42=
factor as the product of two binomials
What does this mean <_ but the line under it
Answer:
it means less than or equal to :)
Step-by-step explanation:
Is the point (0,4) a solution to the system
of inequalities below?
y<-3.x +4
y> 5x – 2
Answer:
No
Step-by-step explanation:
To determine if the point is a solution to either of the inequalities, substitute the variables with the point given. When y<-3.x+4 is substituted with (0,4), the inequality becomes 4<4, which proves that the point is inapplicable to the first inequality. Therefore, you do not need to continue to check its applicability with the second inequality.
A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 2x
Step-by-step explanation:
x represents the amount of attendees. y is the total amount of money they get.
HELP DUE IN 15 MINS!
Find the area of the bolded sector in the circle below.
Leave your answer in terms of pi. Just type what number should be multiplied to the
pi)
Area sector = ?? π
Answer:
Area of the sector = 47.52π
Step-by-step explanation:
Area of the sector of the circle;
A = ∅ / 360 * πr²
We know that;
∅ = 120
r = 12
So now we can substitute;
A = (120 / 360) * π(12)²
A = 0.33 * 144π
A = 47.52π
Hope this helps!
Which expression is equivalent to 8r+16
Answer:
8(r+2)
hope this helps
have a good day :)
Step-by-step explanation:
PLS HELP URGENT ILL GIVE U BRAINLIST!
lim(x --> 3)(-5x^ 2 -2x+4)
A. -47
B. 47
C. 0
D. 3
Hi there!
[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]
Simply substitute x = 3 in the expression.
[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]
Questions can be asked through comment.
Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.
Hope this helps, and Happy Learning! :)
Volumes and circles
Determine the amount of space ( volume) he’s allowed for the potted plant in the bottom of the greenhouse who shape is a rectangle or prism. ❤️
Answer:
A. Volume is 2400 feet^3
B. 1413.7 feet ^3
C. 3814 feet^3
Step-by-step explanation:
given = a rectangular prism having l=8 feet w=12 feet h=25 feet
to find volume
v = l * w * h
v = 8x12x25
v = 2400 feet^3
Solve the equation by using the quadratic formula 15x^2+31x=-10
Answer:
C.) -2/5, -5/3
Step-by-step explanation:
Edge. :)
ummm I’m so bad at math lol
The correct option is B - Where the given data is plot correctly.
NEED HELP ASAP PLEASE!!!!A symmetrical canyon is 4850 feet deep. A River runs through the canyon at its deepest point. the angle of depression from each side of the canyon to the river is 60. Round to the nearest tenth. Whats the Distance across the canyon? whats the Length of the canyon wall from the edge to the river? Is it more or less than a mile across the canyon?
Answer:
what is the formulae for finding a circle
100 points
If you tell me to use quizlet or give me a wrong answer or link you will be reported
[tex]\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}[/tex]
The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .
Given terms ( common for each cylinder ) :
height (h) = 4 ftradius. (r) = 0.5 ft[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]
[tex]3.14 \times \dfrac{1}{2} \times \dfrac{1}{2} \times 4[/tex][tex] \mathrm{3.14 \: ft {}^{3} }[/tex]Since volume of each cylinder is equal, so total volume of six cylindrical post :
[tex]3.14 \times 6[/tex][tex] { \mathrm{18.84 \: ft {}^{3} }}[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
help asap and I give you the brainliest
I think it's either A or B probably B is my guess though, it's weirdly worded so I'm not exactly sure what it's asking
Question 8 of 10
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices"?
three
vertices
triangle
triangle
three
vertices
Figure A
Figure B
A. Figure A
B. Figure B
How can I calculate the maximum height of the ball? h=-16t^2+vt+h v is the initial velocity and I got 4.3cm h is the initial height and I got 14cm Range of the ball is 1.954m and the time in air is 2.1 When I solve the maximum height of the ball, it need to be ft/s.
Step-by-step explanation:
The path followed by the ball as a function of time is given by :
[tex]h=-16t^2+vt+h[/tex]
Where
v is initial velocity and h is initial height,
v = 4.3 cm/s = 0.043 m/s and h = 14 cm = 0.14 m
The equation becomes,
[tex]h=-16t^2+0.043t+0.14[/tex] ....(1)
It is a quadratic equation,
t = 0.095 s
Put the value of t in equation (1).
[tex]h=-16(0.095)^2+0.043(0.095)+0.14\\\\h=-0.000315\ m[/tex]
or
h = -0.00103 ft (negative sign shows height is in negative direction)
Find the median of the values:
8, 13, 6,-1, 10, 0, -3, 5, 7,1
Answer:
To do this question, you need to put the numbers in least to greatest. Greatest to least will not work and will be incorrect.
It will be:
-3, -1, 0, 1, 5, 6, 7, 8, 10, 13
Now you have to cancel each number out from each end.
You will get the numbers:
5, and 6.
You have to find the average of this so:
5 + 6 = 11
11 ÷ 2 = 5.5
So the answer is 5.5.
Answer:
5.5
Step-by-step explanation:
First you would rearrange the numbers from smallest to biggest or vice versa then you cancel out equal number of numbers on both sides until you get to the middle. If it's an even amount of numbers, like 10, then there will be two in the middle instead of one so in that case you would add the two of them and then divide by two.
For example, -3, -1, 0, 1, 5, 6, 7, 8, 10, 13
you would cancel out until you get to the middle which would leave you with 5 and 6 so you add them and divide by two to get 5.5.