Answer:
greater or equal to 56
Step-by-step explanation:
To have an average of 36 points through 4 games, Zion must score 36x4 (144) points. The first three games added together is 28 + 27 + 33 = 88. 144 - 88 = 56.
(3/8 + 3/4) - (1/3 + 1/6) thank you!
If the area of a semicircle is 77cm² then find its perimeter.
[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]
Area of the semicircle = 77 cm²
⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]
Perimeter of the circle⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]
[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]
[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]
[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]
[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]
[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]
[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]
[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]
[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]
━━━━━━━━━━━━━━━━━━━━━
PLEASE HELPPP!!!
San Francisco is well known for its fog: very thick, low-lying clouds that hide its hills. One foggy day, Penelope is practicing kicking a football. Once she kicks the football so high that it disappears into the fog! The height of the ball (in feet) can be represented at time (in seconds) by the equation h(t)=−16t2+64t . The ball disappears into the fog when it is 40 feet high.
a) Write an inequality that represents the times during which the ball was not visible.
b) Solve the inequality and represent your solution algebraically and on a number line. Also, write a sentence explaining your answer in the context of the problem.
c) How high does Penelope kick the football?
d) When does it reach its maximum height?
Answer:
a) [tex]-16t^{2}+64t\geq40[/tex]
b)[tex][2-\frac{\sqrt{6}}{2} , 2+\frac{\sqrt{6}}{2}][/tex]
(see attached picture for the number line)
This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.
c) [tex]h_{max}=64ft[/tex]
d) t=2s
Step-by-step explanation:
a)
Basically the ball will disappear when it is higher than 40 ft, so we can build the inequality like this:
[tex]-16t^{2}+64t\geq40[/tex]
this is because the function represents it's height, so when the function is greater than or equal to 40, then the ball will disappear.
b) to solve the inequality, first we need to turn the ≥ symbol to an = symbol and solve for t, so we get:
[tex]-16t^{2}+64t =40[/tex]
we can move the 40 to the other side of the equation so we get:
[tex]-16t^{2}+64t-40=0[/tex]
we can factor the equation so it's easier to solve, so we get:
[tex]-8(2t^{2}-8t+5) =0[/tex]
which simplifies to:
[tex]2t^{2}-8t+5=0[/tex]
and we can use the quadratic formula to solve this equation, so we get:
[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}[/tex]
so we get:
[tex]t=\frac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(5)}}{2(2)}[/tex]
which yields:
[tex]2\pm \frac{\sqrt{6}}{2}[/tex]
and next we need to test the posible intervals to see which one makes the inequality true, the possible intervals are:
[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1
[tex][2+\frac{\sqrt{6}}{2},\infty)[/tex] for a test value of 4
so next we test each of the values in the original inequality and see if the inequality is true:
[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0
[tex]-16(0)^{2}+64(0)\geq40[/tex]
[tex]0\geq40[/tex] false
so this is not an answer.
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1
[tex]-16(1)^{2}+64(1)\geq40[/tex]
[tex]48\geq40[/tex]
true, so this is an answer.
[tex][2+\frac{\sqrt{6}}{2}, \infty)[/tex] for a test value of 4
[tex]-16(4)^{2}+64(4)\geq40[/tex]
[tex]-16(16)+64(4)\geq40[/tex]
[tex]-256+256\geq40[/tex]
[tex]0\geq40[/tex]
false, so this is no answer.
So the answer is the interval:
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex]
This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.
c) In order to find how high Penelope kick the football, we must find the vertex of the parabola which is gotten when graping the given function (see attached picture)
so we can use the following formula to find the t-value for this maximum height:
[tex]t=-\frac{b}{2a}[/tex]
so we substitute the corresponding values:
[tex]t=-\frac{64}{2(-16)}[/tex]
which yields:
t=2s
next, we can substitute this time into the original function to find the maximum height, so we get:
[tex]h=-16(2)^{2}+64(2)[/tex]
which yields:
h=64 ft
d) We found the answer for d on the previous part where we got that t=2s
If M is the centroid of triangle ABC, AM = 44, CE =54, and DM
= 23, find each missing measure.
FM=?
Answer:
FM = 22
Step-by-step explanation:
Centroid of a triangle divides the median in the ratio 2 : 1
Therefore, AM : FM = 2 : 1
Let AM = 2x and FM = x
Since, AM = 44
Therefore, 2x = 44
x = 44/2
x = 22
FM = 22
Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.There are
____ × 10____
times more bacteria in the petri dish this week compared to last week.
Answer:
Step-by-step explanation:
2.75 x 10⁵ ) / (2.25 x 10² )= (2.75 / 2.25) x 10⁵⁻²= 1.2 x 10³ times .(That's 1,200 times as many.)
(5j-3)/2=k for j
Solve for j.
Answer:
j = [tex]\frac{2k+3}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5j-3}{2}[/tex] = k ( multiply both sides by 2 to clear the fraction )
5j - 3 = 2k ( add 3 to both sides )
5j = 2k + 3 ( divide both sides by 5 )
j = [tex]\frac{2k+3}{5}[/tex]
how many solutions does
7x=4x-7 have?
A) one solution
B) two solutions
C) No solutions
D) infinite solutions
Answer:
A , one solution.........
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
The graph of the function B is shown below. Find B(1) PLEASE HELPPPP
Answer:
From the graph, it is clear that
at x = 1, the value of y=2
Therefore,
B(1) = 2, hence option 'C' is true.
Step-by-step explanation:
Given that the graph is associated with the function B.
From the graph, it is clear that
at x = 1, the value of y=2
In other words,
B(1) = 2Therefore,
B(1) = 2, hence option 'C' is true.
Help please! I don't understand how to do this
9514 1404 393
Answer:
150° CCW
Step-by-step explanation:
Apparently, we are to assume that segment A'B' is a reflection across line m, and that segment A"B" is another reflection across line p. Then the total angle of rotation is double the angle between lines m and p. The smaller angle is the supplement of 105°, so is 75°. Double that is 150°
The angle of rotation to get from A to A" is 150°.
__
The center of rotation is the point of intersection of p and m.
32, 43, 38, 28, 51
What is the mean absolute deviation of the numbers in the list?
Answer:
The answer is 6.88.
Step-by-step explanation:
The mean absolute deviation for the given data will be equal to 6.9.
What is the mean absolute deviation?The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection.
It is a statistical summary of statistical variability or dispersion.
The formula used to calculate MAD is given below:-
MAD = 1/n ∑ |xi-m|
The given data set is 32, 43, 38, 28, and, 51. First, calculate the mean of the given data.
Mean = ( 32 + 43 + 38 + 28 + 51 ) / 5
Mean = 192 / 5 = 38.4
The MAD will be calculated as below:-
MAD = ( 1 / 5) [ | ( 32 - 38.5 ) | + | ( 43 - 38.5 ) | + | ( 38 - 38.5 ) | + | ( 28 - 38.5 ) + | ( 51 - 38. 5 ) | ]
MAD = ( 6.5 + 4.5 + 0.5 + 10.5 + 12.5 + ) / 5
MAD = 6.9
Therefore, the mean absolute deviation for the given data will be equal to 6.9.
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Im really bad at negative numbers someone please help!
Order [-25] [18] [-1] [26] from greatest to least.
The correct order is.....
Answer:
26, 18, -1, -25
Step-by-step explanation:
for easier understanding just draw a number line with integers for easier clarification.
... -5, -4, -3, -2, -1, 0, 1, 2 , 3 , 4 ...
26,18,-1,-25 is the answer from greater to least
Answer this question please and thank you
Answer:
I think it's 62 :D
Step-by-step explanation:
52 - (-10)= 62
What is this answer ?
Answer:
D
Step-by-step explanation:
Boom
Answer:
$2.50
Step-by-step explanation:
6…=15
1…=15/6
2.50
PLEASE HELP! This is over due please help ASAP! I’ll give brainliest! please!
Solve the inequality. Graph your solution.
2x-1/3/3 +3 <= -4 OR 8x-2/2 -1 => 6
A. X <= -10 or x => 2
B. X <= -2 or x => 2
C. X => -10 or => 2
D. Z <= -4 or x=> 9/8
(I’m sure it was obvious but im just letting you know I used =><= for the “ greater/less than or equal to” signs)
Answer:b
Step-by-step explanation:
Helpppppppppppppppppppppppppppppppppppppppppp
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to check the given list and state the true values;
1. This is true
Compound interest has the exponent nt; simple interest has no exponent
2. This is false
Simple interest is only earned on the principal which is the amount deposited
3. True
Due to its multiplication chain, it earns more money as we can compound more than once within the given time frame
4. This is false; check explanations above
5. This is true
Its value is only based on the amount invested originally
6. This is false
simple interest earns the same amount annually based on rate
7. This is false
Both considers the time factor t in their formulas
8. This is true
The interest and principal forms the principal for another compounding time
The population of a city increased by 140 people last year. Which situation, when combined with that increase in population, results in a zero overall change in population?
A. The population of the city decreases by 140 during the next year.
B. The population of the city decreases by 10 people per month during the next year,
C. The population of the city stays constant during the next year.
D. The population of the city increases by 140 during the next year.
Please help me out with these! I’m sorry for the bad quality, but I hope you can still make it out. Any explanation is appreciated! Tysm
Answer:
Step-by-step explanation:
slope is the diference in y over the difrevce in x
m= (y2-y1) / (x2-x1) = (5-2) / (0-1) = 3 / -1 = - (3/1)
Tip:
keep in mind that you can start with any point you want as long as you do the same order for x and y.
For example both of those are correct
m = (5-2) / (0-1) = 3 / -1 = - (3/1)
m = ( 2-5)/ (1-0) = -3/1 = -(3/1)
draw moels for two gardens, one that is 6 ftx 3 ft and one that is 6 ft x 4ft.
Both the garden are in the shape of rectangles.
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
The dimension of the two gardens are given as:
6 ft ×3 ft and 6 ft × 4 ft
From the dimension, we can conclude that the gardens are in the shape of a rectangle.
For the first garden 6 ft ×3 ft,
The length of the garden is l = 6 ft and;
The breadth of the garden is b = 3 ft.
Similarly,
For the second garden 6 ft × 4 f,
The length of the garden is l = 6 ft and;
The breadth of the garden is b = 4 ft.
The models for the two gardens:
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translation and reflection
multiply
6x 10 by 12,2
Answer:
Huh??
Step-by-step explanation:
6x10=60/12=5×2=10??????
Please help will mark the brainliest
Answer:
y=-x-2 this is the answer
Select whether each function is linear or nonlinear
Y=9(2x)
Y=(5x+3)^2
Y=8x^2
Y=5x-3
Y=3x^2+2x-1
If I put ^ before a number it means it's an exponent if anyone doesn't know
Answer:
liner Y=9(2x) Y=5x-3
Step-by-step explanation:
Y=9(2x) and y = 5x - 3 are linear equations while others are non-linear.
The standard linear equation is in the form y = mx + b
Note that the highest degree of linear equation is 1 while that of non-linear is 2 and above.From the given option, we can see that the equation with the highest degree of 1 are Y=9(2x) and y = 5x - 3 (These ar linear equations)Other equations are non-linear in nature since they have a degree of 2 or more.
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Solve y3 = 8.
A. y = 2.8
B. y=4
C. y = 2
D. y =8/3
Answer:
D
Step-by-step explanation:
8 divided by 3 = 8/3
13. Yao has 8 hours to finish reading a 300-page book. He has already read 120 pages. Yao read 50
pages the first hour. He does not read the next two hours. What is the least number of pages Yao
must read per hour to finish reading the book?
A 25 pages per hour
B 26 pages per hour
C 27 pages per hour
D 36 pages per hour
The least number of pages Yao must read per hour to finish reading the book is 26 pages per hour. which is the correct answer would be an option (B)
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
Calculate the total number of hours Yao has left to finish reading the book by subtracting the number of hours he has already spent reading from the total number of hours he has available:
8 hours - 1 hour = 7 hours.
The number of pages Yao has left to read : 300 pages - 120 pages = 180 pages.
The number of pages Yao must read: 180 pages / 7 hours = 25.7 pages/hour.
Round up the number of pages Yao must read per hour to the nearest whole number. The least number of pages Yao must read per hour is 26 pages/hour.
Therefore, the minimum number of pages Yao must read each hour to finish the book is 26 pages per hour.
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Kelly scored 56.73 points and Karen scored 74.92 points on an exam. How many points less did Kelly score than Karen?
a 12-ft ladder leans against a building so that the angle between the ground and the ladder is 74°. how high does the ladder reach on the building? (round your answer to the nearest foot.)
Answer:
12 feet
Step-by-step explanation:
Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!
We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Plug in known values:
[tex]sin(74^o)=\frac{x}{12}[/tex]
Rearrange to isolate the variable:
[tex]x=12sin(74^o)[/tex]
Simplify!
[tex]x=11.535140... ft[/tex]
Round to the nearest foot:
[tex]x=12ft[/tex]
The Warriors made seven out of 15 shots. If the ratio of made to total shots remains constant, how many shots will the Warriors miss out of 60 total shots?
Answer:
28
Step-by-step explanation:
The ratio of shots made to shots total is 7:15. Now since we don't know the shots made from 60 total shots, we can set the ratio as x:60. Since 15 goes into 60 4 times, we can multiply both parts of the ratio by 4 to get 28:60.
What’s the answer to
-3x/5-5=-8
Answer:
x=1/5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Grapefruits are priced at 3.99 per pound.Which equation represents y, the total cost for x pounds of grapefruit
Answer:
Y divided by 3.99 = X
Step-by-step explanation: