Answer:
t = ±10
Step-by-step explanation:
after using the FOIL method you have the following:
490 + 49t - 49t - 4.9t²
middle two terms zero out
h(t)= -4.9t² + 490
if you multiply by -10 you can get perfect squares
h(t) = 49t² - 4900 which has two factors: (7t + 70)(7t - 70)
now set each factor equal to zero and solve:
7t + 70 = 0
7t = -70
t = -10
7t - 70 = 0
7t = 70
t = 10
13 POINTS AND WILL BE MARKED BRAINLIEST IF CORRECT!
Answer:
I think its 144!!!!!!!!!!!!!!!!!!
Answer:
Diagram 2 (Bottom diagram)
Step-by-step explanation:
The ratio is twice as many (2)
2:1
What is the length of arc S shown below? Enter an exact expression. The angle in the figure is a central angle in radians.
Answer:
The arc length S = 11.304 cm
Step-by-step explanation:
Explanation:-
Given that the radius of the circle 'r' = 6 cm
Given that the central angle = [tex]\frac{3\pi }{5}[/tex]
The Arc length is defined by
S = r θ
S = 6 × [tex]\frac{3\pi }{5}[/tex]
[tex]S = \frac{18\pi }{5}[/tex]
[tex]S = \frac{18(3.14) }{5}[/tex] (∵ π = 3.14)
S = 11.304 cm
The arc length S = 11.304 cm
Answer:
18pi/5
Step-by-step explanation:
1 3rd x 9k plus 12 =15
Answer:
k=1
Step-by-step explanation:
⅓×9k+12 = 15
3k+12 = 15
3k = 3
k = 1
4. 2000 tickets were sold to a car show on Saturday. The cost of a ticket for an adult is $4 and the
cost for a child is $2. The total amount of money collected was $6400. Find the number of adult
tickets and child tickets sold.
helpppppppppppppppp me
Answer:
I'm pretty sure it's 24
Step-by-step explanation:
4,9, and 16 can make a perfect square.
it is 24:) because 4 and 16 deftienly can make a perfect square and 9 can to
Find the slope of a line with this information, "−12; (4,−5)". Write your answer in slope intercept form.
Answer:
y = -12x - 43
Step-by-step explanation:
"slope-intercept form" looks like y = mx + b.
We are given m = -12 and a point on the line which is (4, -5).
Substituting 4 for x, -5 for y and -12 for m, we get:
-5 = -12(4) + b. Then b = -43, and the desired equation is y = -12x - 43.
The source or origin of a word is called its?
Answer:
Etymology
the study of the origin of words and the way in which their meanings have changed throughout history.
Step-by-step explanation:
Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of
acres, a, and the bushels of corn, c, the farm produces
Which equation models the relationship between the independent and dependent variables?
A) a=45c
B) c=45a
C) a=45+c
D) c=45+a
Answer:
i need the answer too
Step-by-step explanation:
PLEASE HELP!!!
(-4,-2) and (4,4)
Answer:
4--2/4--4
6/8=3/4
y=3/4 x +c
4=3/4(4)+c
4=3+c
4-3=c
1=c
y=3/4x+1
Step-by-step explanation:
The manager at a restaurant found that the cost to produce 150 cups of coffee is $21, while the cost to produce 300 cups of coffee is $36. assume the relationship between the cost y to produce x cups of coffee is linear.
a.) write a linear equation that expresses the cost,y, in terms of the number of cups of coffee,x.
b.) how many cups of coffee are produced if the cost of production is $56?
Answer:
[tex]y = \frac{1}{10}x + 6[/tex]
500 cups cost $56
Step-by-step explanation:
Given
[tex]x = cups[/tex]
[tex]y = cost[/tex]
[tex](x_1,y_1) = (150,21)[/tex]
[tex](x_2,y_2) = (300,36)[/tex]
Solving (a): Linear Equation
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute right values
[tex]m = \frac{36 - 21}{300- 150}[/tex]
[tex]m = \frac{15}{150}[/tex]
[tex]m = \frac{1}{10}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where
[tex](x_1,y_1) = (150,21)[/tex]
[tex]m = \frac{1}{10}[/tex]
This gives:
[tex]y = \frac{1}{10}(x - 150) + 21[/tex]
Open bracket
[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]
[tex]y = \frac{1}{10}x - 15 + 21[/tex]
[tex]y = \frac{1}{10}x + 6[/tex]
Solving (b): Cups of coffees for $56
Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]
[tex]56 = \frac{1}{10}x + 6[/tex]
Subtract 6 from both sides
[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]
[tex]50 = \frac{1}{10}x[/tex]
Multiply both sides by 10
[tex]10 * 50 = \frac{1}{10}x * 10[/tex]
[tex]10 * 50 = x[/tex]
[tex]500 = x[/tex]
[tex]x = 500[/tex]
Hence: 500 cups cost $56
I need some helppp people
We can observe that the function describing the graph is linear and so the equation is of linear nature:
[tex]y=mx+n[/tex]
Numbers m and n have special names. m is called the slope, n is called y-intercept.
From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?
The slope can be calculated using two points' coordinates that lie on the line:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}[/tex]
Now our line has an equation,
[tex]y=\frac{6}{5}x-1[/tex]
Hope this helps.
In the first week of August, there were 1,060 people at an amusement park. In the second week, there was a 20% decrease in attendance. The park had estimated that 1,500 people would attend the 2nd week. What is the approximate percent error of their estimate?
Answer:
solution
1060/100=10.6
20x10.6=212
1060-212=848
1500-848=652
(652/848)x100=76.886%
what are the answers to these questions? need help asap
PLEASE ANSWER THIS!!!
Answer:
the answer would be 85% bsjdjdmzmcnd
Answer:
75%
Step-by-step explanation:
Total Questions= 12
Answered Correctly= 9
%=9/12 x 100
%= 0.75 x 100
%= 75%
PLEASE MARK ME AS BRAINLIEST!!!!
Round to 2 significant figures 0.000789
Answer:
0.00079
Step-by-step explanation:
Leading zeroes dont count as sig figs, just round the final value and that gives your answer in 2 sig figs.
Draw a model to show a 26-pack of candy bars divided equally among 7 people. How
many candy bars will each person have?
Answer:
[tex]\frac{26}{7}[/tex]
Step-by-step explanation:
Each person will get 3 packs of candy bars
The given parameters are:
Candy bars = 26 pack
People = 7
The number of pack each person will have is then calculated as:
Pack =Candy bars / People
So, we have:
[tex]Pack = \frac{26}{7}[/tex]
Divide 26 by 7 (remove the decimal or fractional parts)
[tex]Pack = 3[/tex]
Hence, each person will get 3 packs of candy bars
Read more about quotients at:
https://brainly.com/question/7068223
Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer: 53.5 seconds
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST AND 50 POINTS IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:
The title of the graph is Tennis Matches. On the x-axis, the label is Number of Months of Practice. On the y-axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x-axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)
First we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).
For part B you can use the following:
y = m x + b
y = (7/4) * 13 + 3
26 Is your answer
Goodluck
:):
Suppose that 10% of all bits transmitted through a digital communication channel are erroneously received and that whether any particular bit is erroneously received is independent of whether any other bit is erroneously received. Consider sending a very large number of messages, each consisting of 20 bits.
a. What proportion of these messages will have at most 2 erroneously received bits?
b. What proportion of these messages will have at least 5 erroneously received bits?
c. For what proportion of these messages will more than half the bits be erroneously received?
Answer:
a) 0.677
b) 0.0431
c) 0
Step-by-step explanation:
For each bit, there are only two possible outcomes. Either it is correctly received, or it is erroneously received. Whether any particular bit is erroneously received is independent of whether any other bit is erroneously received. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10% of all bits transmitted through a digital communication channel are erroneously
This means that [tex]p = 0.1[/tex]
Messages of 20 bits:
This means that [tex]n = 20[/tex]
a. What proportion of these messages will have at most 2 erroneously received bits?
This is [tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.1)^{0}.(0.9)^{20} = 0.1216[/tex]
[tex]P(X = 1) = C_{20,1}.(0.1)^{1}.(0.9)^{19} = 0.2702[/tex]
[tex]P(X = 2) = C_{20,2}.(0.1)^{2}.(0.9)^{18} = 0.2852[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1216 + 0.2702 + 0.2852 = 0.677[/tex]
b. What proportion of these messages will have at least 5 erroneously received bits?
This is
[tex]P(X \geq 5) = 1 - P(X < 5)[/tex]
In which
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.1)^{0}.(0.9)^{20} = 0.1216[/tex]
[tex]P(X = 1) = C_{20,1}.(0.1)^{1}.(0.9)^{19} = 0.2702[/tex]
[tex]P(X = 2) = C_{20,2}.(0.1)^{2}.(0.9)^{18} = 0.2852[/tex]
[tex]P(X = 3) = C_{20,3}.(0.1)^{3}.(0.9)^{17} = 0.1901[/tex]
[tex]P(X = 4) = C_{20,4}.(0.1)^{4}.(0.9)^{16} = 0.0898[/tex]
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1216 + 0.2702 + 0.2852 + 0.1901 + 0.0898 = 0.9569[/tex]
Then
[tex]P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9569 = 0.0431[/tex]
c. For what proportion of these messages will more than half the bits be erroneously received?
This is [tex]P(X \geq 11)[/tex]
[tex]P(X = 11) = C_{20,11}.(0.1)^{11}.(0.9)^{9} \approx 0[/tex]
If 11 is approximately 0, the rest(11, 12, 13,...) will also be approximately 0. So this proportion is 0.
plss answer this because i dont known ehh
GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST AND POINTS!!!!!!!!!!!!!!!! photo attached above thanks sm if u help
Answer:
i think its the third option
Children’s pony ride at a zoo please help I mark brainliest
Answer:
78.5 feet OR (25 x pi) feet
Step-by-step explanation:
You need to find the circumference.
C = 25 x 3.14
C = 78.5 feet
OR
C = 25 x pi
Hope that helps!
Pls help me this is 7th grade (ADVANCED)
Answer: We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,
X°+145°=180° because there supplementary angles.
X°=35° because 180-145=35°.
Pulling a red card from a deck of cards, replacing it, and pulling another red card.
Answer:
Uh queen or hearts or diamonds?
Step-by-step explanation:
Help please! I need help with this two step equations
Answer:
search it up on goggle lll
Answer:
3
Step-by-step explanation:
HELP ASAP WILL MARK U BRAINLIESTTTT
Answer:
125q^6p^3
Step-by-step explanation:
Cuanto es 48 dividido entre 28975
Answer:
48 dividido por 2897 the answer is 60.35 -
Step-by-step explanation:
__60.35-
48 √2897
__ 288__
- - 1 7
___ 0_
170
_ 144 __
-260
____ 240__
-20
David has a coin and a number cube. The number cube is labeled 1 through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails-up and the cube lands on an even number.(PLEASE HELP MATH &TH GRADE GONNA FAIL IF I DONT PASS)
Answer:
3/12
Step-by-step explanation:
Find X. Round to the nearest tenth if necessary
Answer:
3.2 probably I don't really know
Step-by-step explanation:
someone please help this person
I need help on this, anything will help!
Answer:
for the first box it would be pairs
1,5
2,8
3,11
4,14
5,17
for the second box it would be pairs
1,2
2,5
3,8
4,11
5,14
Step-by-step explanation:
