Multiply and simplify 5/6 ·2/7
Answer:
½
Step-by-step explanation:
first do ⅚-²/7
then take lcm of 6 and 7
then do multiply
Answer:
5/21
Step-by-step explanation:
Numerator 5 times the Numerator 2(which equals 10) over denominator 6 times denominator 7 (which equals 42) will give 10/42. Break it down by dividing both denominator and Numerator by 2 to get the final answer
A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?
Answer: EF= 16 units
Step-by-step explanation:
I took the test and also EF has to be greater just by looking at the triangle.
What is 14.47 rounded to the nearest whole number
Answer:
14.47 rounded to the nearest whole number is 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
4 is less then 5 so you do not need to go up!
Use the distributive property and combine like terms to simplify: 8−(r−7)
Answer:
15 - r
Step-by-step explanation:
[tex]8 - (r - 7) \\ 8 - r + 7 \\ 15 - r[/tex]
Given f(x) = (x + 1)(x-2)(x + 3), what are the zeros and end behavior of the function? O 1.-2. 3. continues downward to the left and upward to the night 0-1.2.-3. continues downward to the left and upward to the right O-1.2.-3. continues upward to the left and downward to the night O 1.-2.3. continues upward to the left and downward to the night
Answer:
zeros are at x = -1, x = 2 and x = -3
continues downward to the left and upward to the right
Step-by-step explanation:
Given function:
f(x) = (x + 1)(x - 2)(x + 3)
The zeros are when f(x) = 0
⇒ (x + 1)(x - 2)(x + 3) = 0
⇒ (x + 1) = 0 ⇒ x = -1
⇒ (x - 2) = 0 ⇒ x = 2
⇒ (x + 3) = 0 ⇒ x = -3
Therefore, the zeros are at x = -1, x = 2 and x = -3
If we expand the brackets of the function we get:
f(x) = (x + 1)(x - 2)(x + 3)
= (x + 1)(x² + x - 6)
= x³ + 2x² - 5x - 6
As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:
[tex]f(x) \rightarrow + \infty, \textsf{as } x \rightarrow + \infty[/tex]
[tex]f(x) \rightarrow - \infty, \textsf{as } x \rightarrow - \infty[/tex]
So the correct option is:
"continues downward to the left and upward to the right"
What would be the answer to this question? I cannot figure it out.
Answer:
Step-by-step explanation:
64 [tex]s^{12}[/tex] - 125 [tex]y^{30}[/tex] = [tex]2^{6}[/tex] [tex]s^{12}[/tex] - 5³ [tex]y^{30}[/tex] = ( 2² [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³ = ( 4 [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³
How many arc degrees are in the
minor arc?
Answer:
C
Step-by-step explanation:
[tex]65=\frac{(360-x)-(x)}{2}[/tex]
130=360-2x
2x=230
x=115
In the triangle below, b= If necessary, round your answer to two decimal places . 29.8 22 34.5 degrees
Answer:
Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,
b / sin B = a / sin A
Substituting,
b / sin 85.3° = 44 / sin 48°
The value of b from the equation is approximately equal to 59.01.
Answer:
35
Step-by-step explanation:
is correct for ape x
In a lottery game, each ticket cost $12. You have a 10/1000 probability of winning $300, and 50/1000 probability of winning $100. What is your expected value if you buy 1 ticket?
Answer:
80% chance of winning$100
Step-by-step explanation:
50/1000 , 10/1000
=> 0.05, 0.01
0.05 - 0.01
0.04 ÷ 0.05
0.8 × 100
=> 80%
A cylinder has a height of 15 inches. Its volume is 3,014.4 cubic inches. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
To solve this problem where we need to find the radius:
⇒ find the relationship between height, volume, and radius
⇒ only equation that involves all these quantities is
⇒ Volume's equation = [tex]V = \pi r^2*h[/tex]
V: volume ⇒ 3014.4 cubic inchesr: length of radius h: length of height ⇒ 15 inches[tex]\pi[/tex] ≈ 3.14Let's set up our volume equation with known quantities
[tex]V=\pi r^2*h\\3014.4=\pi r^2*15\\3014.4 = 3.14*r^2*15\\960=15r^2\\r^2=64\\r=8[/tex]
*r cannot be negative thus r equals a positive 8
Thus the radius is 8.00 inches (rounded to the nearest hundredth)
Hope that helps!
Answer:
8.00 inches
Step-by-step explanation:
Given:
height = 15 inchesvolume = 3,014.4 cubic inchesTo find:
radiusCylinder’s Volume:
[tex]\displaystyle \large{V=\pi r^2 h}[/tex]Substitute given information in:
[tex]\displaystyle \large{3,014.4 = 3.14 \cdot r^2 \cdot 15}\\\displaystyle \large{3,014.4=47.1r^2}[/tex]
Solve for r by dividing both sides by 47.1:
[tex]\displaystyle \large{\dfrac{3,014.4}{47.1} = \dfrac{47.1r^2}{47.1}}\\\displaystyle \large{64 = r^2}\\\displaystyle \large{r = 8,-8}[/tex]
However, radius is a scalar value so it cannot be negative - the radius is 8 inches
Since you want in nearest hundredth then the radius is 8.00 inches
What is the least common multiple of 40 and 52?
Answer:
520
Please refer the attachment.
Stay safe, stay healthy and blessed.
Have a good day !
Thank you
Which ordered pairs show that the relation is not a function?
(0,0)(3,3)
(1,3)(1,4)
(1,3)(4,1)
(3,3)(1,3)
Answer:
(1,3)(1,4)
Step-by-step explanation:
One input cannot have two outputs so one x-value cannot have two y-values.
paula bought an electric drill at 75% of the regular price.She paid 32.90 for the drill. What was the regular price?(round to the nearest cent)
Answer:
$43.87.
Step-by-step explanation:
let the regular price be x, then
0.75x = 32.9
x = 32.9 / 0.75 = $43.87
Answer:
43.87
Step-by-step explanation:
Let the regular price be T
T x 75% = 32.903T/4 = 32.903T = 4 x 32.903T = 131.60T = 43.87for which value of x is the row in the table of values incorrect? The function is the quadratic function y=-1/2x^2
x = 3
x = 2
x = 0
x = 5
Answer:
x = 5
Step-by-step explanation:
For x = 5, value of y should be [tex]-12\frac{1}{2}[/tex]
Hope it helps you in your learning process.
What is 1 1/2 subtracted from the sun of 4 2/3 and 5 2/5?
Answer:
8 17/30
Step-by-step explanation:
First, we will get the sum
4 2/3+ 5 2/5 =
10 1/15
Now we do the subtraction step
10 1/15 - 1 1/2=
8 17/30
Should be your answer^
What is the solution? ABCD
please give some explanation
[tex] \cos(x) ( \tan(x) - \sqrt{3} ) = 0[/tex]
[tex] \cos(x) ( \frac{ \sin(x) }{ \cos(x) } - \sqrt{3} ) = \\ [/tex]
Thus :
[tex] \cos(x) = 0 \: \: \: or \: \: \: \tan(x) - \sqrt{3} = 0[/tex]
Over interval [0 , 2pie ) :
[tex] \cos(x) = 0[/tex]
[tex]x = \frac{\pi}{2} , \frac{3\pi}{2} \\ [/tex]
And[tex] \tan(x) - \sqrt{3} = 0[/tex]
[tex] \tan(x) = \sqrt{3} [/tex]
[tex]x = \frac{\pi}{3} ,\pi + \frac{\pi}{3} \\ [/tex]
[tex]x = \frac{\pi}{3} , \frac{4\pi}{3} \\ [/tex]
____________________________________________
Thus the solutions are :
[tex] \frac{\pi}{3} , \frac{\pi}{2} , \frac{4\pi}{3} , \frac{3\pi}{2} \\ [/tex]
As u can see the first option is the correct answer .
And we're done....
Have a great day ♡♡♡♡♡What is the first step in solving a quadratic equation of the form given below?
(ax + b)^2 = c
A. Divide both sides by c
B. Take the square root of both sides
C. Use the zero product rule
D. Factor out a common factor
solve
(80 + 240 x 3) ÷ 20
Answer:
Step-by-step explanation:
I take that x to be multiplication.
Combine 240 *3
(80 + 720) ÷ 20
Combine inside the brackets
80 + 720 = 800
What's left is 800÷ 20
Answer 800 ÷ 20 = 40
Linear Function K passes through points (-3,7) and (3,3). What is the rate of change of function K?
A) -3/2
B) -2/3
C) 3/2
D) 2/3
- 2/3 is the correct answer
Step-by-step explanation:
The rate of change of function K is -2/3. Therefore, option B is the correct answer.
What is rate of change a function?The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.
Given that, linear function K passes through points (-3,7) and (3,3).
Now, the rate of change
= (3-7)/(3+3)
= -4/6
= -2/3
Therefore, option B is the correct answer.
Learn more about the rate of change here:
https://brainly.com/question/8223651.
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help will give thanks to the first to answer
Answer:
69
Step-by-step explanation:
Just plug in
10(9)-7(3) = 90-21 = 69
In the data set below, 2 is an outlier:
2, 6, 7, 9, 10, 7, 8, 6, 10, 7
Answer:
That is right
Step-by-step explanation:
An outlier is a number that does not fit in a data set and is does not belong because it is to high or to low. In this case it is to low.
How do you find the area of triangle with a 99-degree angle and 11 Aas the adjacent sides?
Answer:
Area = 59.8 sq units
Step-by-step explanation:
There is a very convenient area formula for the area of a triangle given two sides and the included angle.
A = 1/2•a•b•sin C°
A = 1/2(11)(11)sin 99°
A = 59.8 sq units
Which of the following equations represent a proportional relationship?
Choose all that apply.
Answer:
I tried to draw it out for you
what is the ratio of females who prefer strawberry ice cream? ( DO NOT SIMPLIFY)
Of those who prefer strawberry ice cream, what ratio are female? (DO NOT SIMPLIFY)
Answer:
The answer is 15/37.
Step-by-step explanation:
There are 15 girls who like starwberry icecream, and the total of girls is 37.
So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.
1.Use the diagram to the right to answer the following questions: Person has a mass of 100 kg
1.Calculate the person’s gravitational potential energy before they jump off the platform. SHOW WORK!
2.Calculate the person’s gravitational potential energy when they reach the trampoline on the ground. SHOW WORK!
3.Calculate the person’s gravitational potential energy when they bounce up to their final position. SHOW WORK!
Answer:
See below ~
Step-by-step explanation:
#1)
Gravitational Potential Energy = mgh100 x 9.8 x 109800 J9.8 kJ#2)
mgh100 x 9.8 x 00 J#3)
mgh100 x 9.8 x 549 x 1004900 J4.9 kJgeometry please help! look at attachment
Answer:
this polygon is a geometrical figure. Hope this helps you
Step-by-step explanation:
these are many reflective rays that satisfy this condition. The reflection Ray's for ended by the line between a better and it's opposite medpoint satisfy the reflection itself.
One of the reflected rays that meet this condition is shown in the figure above the line between vettex a and the metalpoint of the opposite Edge.
Construct a line segment or an angle—it's your choice! Then, bisect the segment or angle you constructed.
Think about the steps you took to construct and bisect the line segment or angle.
If you chose a line segment, how are the construction steps you completed similar to the steps you would have taken to construct and bisect an angle? How are they different?
If you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and bisect a line segment? How are they different?
There are different ways to construct an angle. The steps used in constructing a line segment are;
First, you have to put the compass at a one specific end of line segment.
Then you shift the compass slowly a little bit so it will be longer in length to half the length of line segment.
Then you have to draw arcs up and down the line.
while using the same compass width, you then draw arcs from one specific end of line.
and thereafter you put your ruler in the point where the arcs cross, and you then draw the line segment.
The differences is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in construction of a line segment, there is differences in length.
What are the construction process of Angles?
This entails a good construction process in making angles. They are step-by-step processes that are used to produce a detailed and exact geometric figures.
Learn more about line segment from
brainly.com/question/2437195
The steps to construct an angle and its bisector are described above.
The angle can be defined as the one line inclined over another line.
Here,
Step 1,
Draw a random size horizontal line,
Step 2,
Take the rounder, mark the rounder 1/3 of the line drawn, put on one of the ends, and draw a horizontal semi-circle,
Step 3,
One more time, keep the rounder 1 / 3 measure of the semi-circle and cut 2 consecutive arcs, one from the initial end of the semi-circle and the other from the previous arc cut on the semi-circle.
Step - 4
Now draw a line from the center of the semi-circle through the cut arc, an angle will be formed
Step - 5,
Now cut 2 arcs from the previously cut arc intersecting each other.
Step - 6
Now draw the line from the initial point of the horizontal line and the final intersecting arcs.
Thus, The steps to construct an angle and its bisector are described above.
Learn more about Angles here:
https://brainly.com/question/13954458
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Suppose a one year subscription to a magazine cost $12.99 and a three-year subscription cost $25.98 the cost and length of the subscription are related write an equation to a model the cost of a subscription for any period of time
Answer:
y = $38.97
y = 6.495(5) + 6.495
Step-by-step explanation:
So for this problem, since it states the cost and length of the subscription are related, you can use the two subscription costs as data (or coordinate) points.
1 year = 12.99, 3 year = 25.98; so (1,12.99), (3, 25.98) use these points to calculate the average rate of change (or the slope (m)).
(y - y1)/(x - x1) = m so, (25.98-12.99)/(3 - 1) = 6.495, this is the slope, m
y = 6.495(x) + b now just pick one of the points and put in the x and y values to solve for b
12.99 = 6.495(1) + b solve for b and you discover it also = 6.495 = b
so y = 6.495(x) + 6.495 is the equation of the line, to answer their question, just pop in x=5 for the 5 years subscription cost
y = 6.495(5) + 6.495
y = $38.97
please help i don't get this.
If you're failing your classes but get a passing percentage on state testing will you be able to graduate Highschool? HhhHh, not me stressing- (┬┬﹏┬┬)