Answer:
42/70 or 3/5.
Step-by-step explanation:
3/5 of 70 is 42. So you put 42 as the numerator and 72 as the denominator. This simplifies to 3/5. That would be your answer.
which of the following is true of the two numbers 4 and 10?
Answer:
They are divisible by 2
Step-by-step explanation:
Both 4 and 10 are multiplies of 2.
2 x 2 = 4
2 x 5 = 10
Write the following phrases as ratios in lowest terms. 1) 3 out of 8 balloons, 2) 5 losses to 7 wins,3) 4 girls to 5 boys,4) 6 books for every 18 students, 5) 2 cars to 3 trucks,6) 11 out of 18 games
Answer:
1) 3:8
2)5:7
3)4:5
4)1:3
5)2:3
6)11:18
Jacob has 34 cookies. He wants
to split them equally between
himself and his 2 friends. How
many cookies will each one get?
a. 16
b. 16 R1
C. 16 and 1/3
Answer:
34 divided by 3 =
11 and a ton of .33's
center =
3. A diameter of a circle has endpoints P(-7,-4) and Q (3,2).
a. Find the center of the circle (hint use midpoint formula)
b. Find the radius. If your answer is not and integer, express in radical form. (hint use
distance formula)
c. Write an equation for the circle.
17
radius=
equation of the circle:
work:
< 2/3
I
>
a. The center of the circle is (-2, -1).
b. The radius of the circle is √136.
c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:
Midpoint = ((-7 + 3)/2, (-4 + 2)/2)
= (-4/2, -2/2)
= (-2, -1)
Therefore, the center of the circle is at the coordinates (-2, -1).
b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.
Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)
Using the distance formula:
Distance = √[(3 - (-7))^2 + (2 - (-4))^2]
= √\([(3 + 7)^2 + (2 + 4)^2]\)
= √\([10^2 + 6^2\)]
= √[100 + 36]
= √136
Therefore, the radius of the circle is √136.
c. The equation for a circle with center (h, k) and radius r is given by:
\((x - h)^2 + (y - k)^2 = r^2\)
In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:
\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)
\((x + 2)^2 + (y + 1)^2 = 136\)
Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
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If the ratio of red objects to blue objects is 3 : 1, what precent of the objects are red?
Answer:
75%
Step-by-step explanation:
If the ratio of red:blue is 3:1, then there are 4 (some multiple of 4) in all.
The ratio of red:total is 3:4
3/4 is .75, times by 100 to convert to a percent.
.75 × 100 is 75%
250% as a fraction in simplest form
Answer:
I think 1/4
Step-by-step explanation:
1000% ÷ 4 =250%
Step-by-step explanation:
(250÷50)/(100÷50) = 5/2 when reduced to the simplest form.
Write an equivalent ratio for 5:8 with 30 as on of the terms.
20400 / 10 how do you divide 20400 divided by 10
Answer:
20400/10 = 2040
Step-by-step explanation:
When dividing by the number 10, it is the same as moving the decimal point over 1 point to the left.
Example:
10/10 = 1.0
100/10 = 10.0
1000/10 = 100.0
Such as:
4/10 = 0.4
25/10 = 2.5
24.3/10 = 2.43
By increasing the number of zeros you divide by, say 100 or 1000. You simply move the decimal over that many times. (for 10 it's 1, for 100 it's 2, and for 1000 it's 3).
Example:
23/100 = 0.23
54.4/1000 = 0.0544
20400/10 = 2040.0
Answer:
The answer is 2040.
Step-by-step explanation:
All you have to do is cancel out one zero from the end of the number.
Jada flew home from vacation with a heavy bag. With the first airline she flew, jada had to pay $29 to check her bag, plus $4 for every pound that her bag was over the weight limit. The next flight was with another airline that had the same weight limit. Jada had to pay $11 per pound that her bag was over the weight limit, in addition to the checked bad fee of $15. By coincidence, the fees ended up being the same with both airlines. How far over weight limit was the bag? How large was each airlines fee?
How many liters are in 50 gallons of water? (Round to the nearest whole number and do not include units in your answer.) Note: There are 3.785 liters in a gallon
Answer:
190
Step-by-step explanation:
================================================
Work Shown:
1 gallon = 3.785 liters ..... given info
50*(1 gallon) = 50*(3.785 liters) .... multiply both sides by 50
50 gallons = 189.25 liters
50 gallons = 189 liters .... round to the nearest whole number
a. In the diagram above, angles ABCABC and CBDCBD are
, and their measures sum to
degrees.
b. The measure of \angle ABC∠ABC is
degrees.
Show your work in the box below.
Answer:
Step-by-step explanation:
..
Would someone please help me with this pre final practice?
Answer:
i think 5 so i say pick 5 because 19no 12no10 no so it 5
Find 4 + 20, if ü -< -3, -7> and =< 4, -2 >
<-4,-32 >
<7,-3>
<-8, -30
< 5, -11 >
2 0 0 0
Given statement solution is :- The Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
To find the sum of 4 + 20, we simply add the two numbers together:
4 + 20 = 24
As for the given vectors, let's perform the requested calculations:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >
Therefore, the Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
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what is (3.9 x 10 to the power of 33) times (3.25 x 10 to the power of 3)
Answer:1.2675x10^37
Step-by-step explanation:
3.9x10^33 x 3.25x10^3
3.9x3.25x10^33x10^3
12.675x10^(33+3)
12.675x10^36
1.2675x10^1x10^36
1.2675x10^(1+36)
1.2675x10^37
Answer:
for 3.25 ⋅ 10 to the power of 3 should be 3250 because 10 to the power of 3 equals 10 ⋅ 3 = 1000 and 1000 ⋅ 3.25 is 3250 because you move the decimal three places to the right ( someone helped my on it and i got it right)
for 3.9 ⋅ 10 to the power of 33 I think it is 1.2675x10^37
im not sure but i hope it helps :)
Customer pays $0.035 per minute for local calls, if the customer made 60 local calls that all lasted 3 minutes, how much will the customer pay?
The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.
To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30
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Gregori wants to buy a new pair of shoes that cost $40. His mom pays 75% of the cost and Gregori pays 25%. How much do they each pay for the shoes
Answer:
his mom paid 30 and he paid 10 I did 40÷4 the got 10 then times by how many 25% each had
Step-by-step explanation:
In order to find out how much they both each pay, you would have to put two places in front of the percentage of the payment.
40 POINTS PLEASE HELP ASAP YOU CAN SAVE MY LIFE WILL GIVE BRANLIEST
Which expression is equivalent to 8\sqrt(6)
A.\sqrt(14)
B.\sqrt(48)
C.\sqrt(96)
D.\sqrt(384)
Answer:
D. \sqrt(384)
Step-by-step explanation:
All you have to do is to expand the root the way I have done. I hope you understand and rate this answer well.
Don't forget 8 is the same as root(8) * root(8) which will give root(64) and the square root of 64 is 8.
Using the information in the Box-and-Whisker plot shown, below what value is three quarters of the data?
A. 7
B. 10
C. 12
D. 17
Answer:
Step-by-step explanation:
A
PLEASE HELP ITS DUE TODAY Pleasee
\(scale \: from \: b \: to \: a = \frac{3}{2} \\ x = \frac{2}{3} \times 10.5 = 7\)
What is the scale factor of this dilation?
Answer:
5/3
Step-by-step explanation:
on both sides we can see that the orginal length of 3 increased to five
therfore if we multiply 3 by 3/5 we get five which means the scale factor is 5/3
i need help this is kinda hard
ABCD is a parallelogram. Find the values of w, x, y, and z.
Answer:
You should know the properties of parallelogram to answer the questions.
A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 90 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.1 m3/min, how fast (in m/min) is the water level rising when the water is 10 cm deep?
Answer:
Let's start by finding the volume of water in the trough as a function of its depth.
At a depth of h cm, the cross-sectional area of the water is an isosceles trapezoid with bases of length b1 = 40 + (h/5) cm and b2 = 90 + (h/2) cm, and height 50 cm. The average width of the trapezoid is (b1 + b2)/2 = 65 + (3h/10) cm. Therefore, the volume of water in the trough at this depth is:
V(h) = 10 m x [(65 + (3h/10)) / 100 cm] x h cm
Simplifying this expression, we get:
V(h) = (13/2000) h^2 m^3
Now, we can use the chain rule to find the rate of change of V with respect to time t, given that dV/dt = 0.1 m^3/min:
dV/dt = (dV/dh) x (dh/dt) = (26/2000) h (dh/dt)
At the moment when the water is 10 cm deep, we have:
h = 10 cm
dV/dt = 0.1 m^3/min
Plugging in these values, we get:
0.1 m^3/min = (26/2000) x 10 cm x (dh/dt)
Solving for dh/dt, we get:
dh/dt = 0.1 m^3/min / (26/2000) / 10 cm
dh/dt ≈ 0.192 m/min
Therefore, the water level is rising at a rate of approximately 0.192 m/min when the water is 10 cm deep.
Consider the function f(x) = 4 - 2x ^ 2 on the interval \ -6,6] Find the average or mean slope of the function on this interval , i.e. (f(6) - f(- 6))/(6 - (- 6)) =
f(x) = 4 -2x^2
First we need to find f(6)
f(6) = 4 - 2( 6) ^2 = 4 - 2(36) = 4 - 72 = -68
Then we need to find
f(-6) = 4 - 2( -6) ^2 = 4 -2( 36) = 4 - 72 = -68
Now we find the average or mean slope
The mean slope is zero
Now f'(c) must equal 0
The derivative is -4x and evaluated at c
-4c
This must be equal to 0
-4c =0
Solving for c
c=0
Find the value of x to the nearest tenth. A) 5 B) 9.2 C) 3.3 D) 2.9
Answer:
B) 9.2
Step-by-step explanation:
tan(57)=x/6 multiply 6 on both sides
6.tan(57)=x use calculator to find answer
9.2 rounded
Answer:9.2 is correct
Step-by-step explanation:
What is m DHG? D E [6(x - 2) (3x + 30) Enter your answer in the box.
Since, DHG and EHG are opposite vertical angles, then;
DHG = EHG
6(x-2) = 3x + 30
6x - 12 = 3x + 30
collect like term
6x - 3x = 30 + 12
3x = 42
Divide both-side of the equation by 3
x = 14
m DHG = 6(x-2)
=6(14-2)
= 6(12)
=72°
Tafu is working with subatomic particles in the Physics lab. A positron is traveling in a straight line down the particle accelerator. Tafu models its position with the function p(t)=t^2/t−1 where t >1.
Calculate
a)limt→[infinity]p(t)
b)limt→1+p(t)
c)limt→2p(t)
The limit value for each function is:
a)limt→[infinity]p(t) = ∞b)limt→1+p(t)= 1.c)limt→2p(t)=0a) To calculate limt→[infinity]p(t), we can start by dividing the numerator and denominator of the equation by t, to get:
p(t) = t/t-1
Next, we can take the limit of this expression as t approaches infinity:
limt→[infinity]p(t) = limt→[infinity]t/t-1
Since t is the only variable in the expression, as t approaches infinity, the expression will approach infinity as well. Therefore, limt→[infinity]p(t) = ∞
b) To calculate limt→1+p(t), we can start by rewriting the equation as p(t) = 1/(t-1). Next, we can take the limit of this expression as t approaches 1:
limt→1+p(t) = limt→1 1/(t-1)
Now, we can use the limit laws to simplify the expression:
limt→1+p(t) = 1/limt→1(t-1)
Since the denominator is approaching 0 as t approaches 1, the expression approaches infinity. Therefore, limt→1+p(t) = 1.
c) To calculate limt→2p(t), we can start by dividing the numerator and denominator of the equation by t2, to get:
p(t) = 1/t-1
Next, we can take the limit of this expression as t approaches 2:
limt→2p(t) = limt→2 1/t-1
Now, we can use the limit laws to simplify the expression:
limt→2p(t) = 1/limt→2(t-1)
Since the denominator is approaching 0 as t approaches 2, the expression approaches infinity. Therefore, limt→2p(t) = 0.
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The displacement of a particle from a reference point at any instant is given by s = 3 t 2 - 4 t + 5 , where s is in metres and t is time in seconds. calculate the average velocity of the particle in the time interval between 3 s and 5 s, and its instantaneous velocity at 4 s.
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
How to determine average velocity and instantaneous velocity?
Average velocity is defined as the body's overall displacement divided by its time of motion. While instantaneous velocity is defined as a body's speed at a certain instant in time, or its displacement at that instant. When the velocity is constant, average and instantaneous velocities will equalize at just one condition.
The definition of instantaneous velocity is the rate of change of position over a relatively brief time period (almost zero). Simply said, the speed of an object at that precise moment. The definition of instantaneous velocity is "The velocity of an item in motion at a certain point in time." The instantaneous velocity of an object may be equal to its standard velocity if it has uniform velocity.
Mathematically, average velocity = [s(t₂) - s(t₁)]/[t₂ - t₁]
Instantaneous velocity at time, t is = (ds/dt) at time = t
Given, the displacement for the particle is given by s = 3t² - 4t + 5
Time interval, t₁ = 5s and t₂ = 3s;
Using formula in literature, average velocity of the particle in the time interval between 3s and 5s is:
Average velocity = (s(5) - s(3))/(5 - 3) = (60 - 20)/2 = 20 ms⁻¹
Instantaneous velocity at t = 4 is ds/dt at that time-frame:
Now, v = ds/dt = 6t -4
Now, v(4) = 6(4) - 4 = 20 ms⁻¹
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
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Circle Project 1. Draw a point at (1, -2) 2. Draw an 8-unit long radius 3. Using a compass, Draw a circle with your point from step one as your center and the point from step two as the side. 4. Using a protractor, draw a 70 degree arc 5. Draw a central angle which intercepts your arc 6. Draw an inscribed angle which intercepts a 40 degree arc 7. Draw a tangent line 8. Draw a secant line 9. Write the equation of your circle.
Answer:
I can explain how to complete each of the steps you have provided.
1. Draw a point at (1, -2)
This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).
2.
Draw an 8-unit long radius
Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.
3. Using a compass
Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.
4. Using a protractor draw a 70 degree arc
Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.
5. Draw a central angle which intercepts your arc
Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.
6. Draw an inscribed angle which intercepts a 40 degree arc
Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.
7. Draw a tangent line
Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.
8. Draw a secant line
Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.
9. Equation of your circle
The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.
All of these statements are true EXCEPT which one?
Х
Y
Answer:
The Answer is -The segmet can be named XY or YX
Step-by-step explanation:
Answer:
A) (3,3), B (12,6) ---> C (16,-6)
A) (-10,5), B ( 12,16)--> C(18,4)
A)(12,-14), B (-16,21)---> C( 6,52)
A) (30,20), B( -20,-15)--> C(-11,25)
-------------------------------
hope it helps...
have a great day!!