Answer: 0=-4.9t²+19.6t+24.5
Step-by-step explanation:
[tex]s(t)=gt^2+v_0t+s_0\\v_0=19,6\ \frac{m}{s} \ \ \ \ s_0=24,5\ m\ \ \ \ g=-4,9\ \frac{m}{s^2} \ \ \ \ S(t)=0\ (the\ object \ hitts\ the \ ground)\ \Rightarrow\\0=-4,9t^2+19,6t+24,5.[/tex]
Can someone please help me with this? I'll give brainliest :)
Based on the information given find the slope from [2,5] Is interval notation and means from x=2 to x=5.
16. y = 3x - 4
17. y = 2x^2-4x - 2
The slope of y = 3x - 4 on the interval [2, 5] is 3 and the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10
How to determine the slope?The interval is given as:
x = 2 to x = 5
The slope is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2-x_1}[/tex]
16. y = 3x - 4
Substitute 2 and 5 for x
y = 3*2 - 4 = 2
y = 3*5 - 4 = 11
So, we have:
[tex]m = \frac{11 - 2}{5 - 2}[/tex]
[tex]m = \frac{9}{3}[/tex]
Divide
m = 3
Hence, the slope of y = 3x - 4 on the interval [2, 5] is 3
17. y = 2x^2-4x - 2
Substitute 2 and 5 for x
y = 2 * 2^2 - 4 * 2 - 2 = -2
y = 2 * 5^2 - 4 * 5 - 2 = 28
So, we have:
[tex]m = \frac{28 + 2}{5 - 2}[/tex]
[tex]m = \frac{30}{3}[/tex]
Divide
m = 10
Hence, the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10
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i need the answer to number 9
Answer:
502.5
Step-by-step explanation:
C = 24(12) + 5.50(39)
C = 288 + 214.5
C = $502.5
Roco draws two shapes. one of his shapes is 4 times longer and 4 times wider than the other. he found that the perimeter of the larger shape is 6 times larger than the perimeter of the smaller shapes and that the area is 16 times larger. is he correct? what did he calculate correctly: area, perimeter or both?
If two squares have different perimeters, the one with the larger perimeter will have a larger area. If two polygons have the same perimeter, then they must have the same shape. If two polygons have the same shape but are different sizes, then they must have different perimeters.
If two squares have equal areas, they will also have sides of the same length. But although "equal areas mean equal sides" is true for squares, it is not true for most geometric figures.
In order to find the perimeter or distance around the rectangle, we need to add up all four side lengths. This can be done efficiently by simply adding the length and the width, and then multiplying this sum by two since there are two of each side length.
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Briefly, describe the distribution in context. Recall, categorical variables are summarized by counts and/or percents
Thus, distribution is a function that shows the possible values for a variable and how often they occur and categorical values are summarized by counts and/or percents
In statistics, the distribution is a function that shows the possible values for a variable and how often they occur.
The distribution of a data set is the shape of the graph when all possible values are plotted on a frequency graph. Usually, we are not able to collect all the data for our variable of interest. Therefore we take a sample. This sample is used to make conclusions about the whole data set.
The categorical variable is a data in which individuals are placed into groups or categories.
One way to summarize categorical data is to simply count (frequency), or tally up, the number of individuals that fall into each category. Another way is to show the percentage of individuals who fall into each category, thereby creating a relative frequency.
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Which of the following systems of linear inequalities is represented by the
solution graphed below?
O A. y>2 and ys x
O B. y22 and rex
O C. x> 2 and y2 x
O D. x22 and y > x
The solution graphed below represents the y>2 and [tex]y\leq x[/tex] system of linear inequalities.
When a polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1, this is an example of a linear inequality, which is an inequality involving at least one linear algebraic expression.
Expressions that compare two linear expressions using inequality symbols are referred to as linear inequalities.
Addition, subtraction, multiplication, and division are the four types of operations that can be performed on linear inequalities.
Equivalent inequality refers to linear inequalities with the same solution.
From the given graph, it can be seen that the line parallel to the x-axis represents y>2 and the other inclined line represents [tex]y\leq x[/tex] .
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A fair die is tossed 5 times. Let $\dfrac{m}{n}$ be the probability that at least two consecutive tosses have the same number, where $m$ and $n$ are relatively prime positive integers. Find $m$.
The probability that no two consecutive heads will occur is 13/32.
What is probability?It should be noted that probability simply means the likelihood of the occurence of an event based on chance.
In this case, the fair coin is tossed 5 times and we simony want it find the probability that no two consecutive heads will occur.
This will be:
Let n be the number of strings of h
Let t be the length n with two adjacent H's.
Therefore, the probability will be:
= (8+5)/2^5
= 13/32
In conclusion, the probability that no two consecutive heads will occur is 13/32.
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The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of $1560. A survey for the next school year of 150 randomly selected students resulted in a sample mean of $10, 798. Find the P-value
The true mean expenditure per student is different from $10,337.
What is hypothesis in math?
A hypothesis is a proposition that is consistent with known data, but has been neither verified nor shown to be false.There are basically two types, namely, null hypothesis and alternative hypothesis.Sample size is greater than 30 and the population standard deviation is given. Thus, in order to test
H0: µ =$10,337
H1: µ≠$10,337
The appropriate test is one sample z test.
The formula for one sample z test:
Z= x−μ / σ √ n
x−μ
x=10798
μ=10337
σ=1560
n=150
[tex]Z = \frac{10798 - 10337}{1560 / \sqrt{150} } = 3.62[/tex]
Computation of p-value:
The EXCEL formula to find the p-value for a two-tailed z-test is
“=2*(1-NORM.S.DIST(3.62, TRUE))”
Thus, the p-value obtained is 0.00029
Conclusion using α = 0.05:
Rejection rule using p-value:
If p-value ≤ α, then reject the null hypothesis.
Since, 0.00029 < 0.05, there is sufficient evidence to reject the null hypothesis.
Therefore, the true mean expenditure per student is different from $10,337.
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If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x − 14 B. g(x) = -3x − 14 C. g(x) = 3x + 14 D. g(x) = -3x + 14If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x − 14 B. g(x) = -3x − 14 C. g(x) = 3x + 14 D. g(x) = -3x + 14
The following equation represents the function g in function notation,
g(x) = 3x - 14 [Option (A)]
Definition of a Function
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.
Given equation is,
y -3x = -14
⇒ y = -14 + 3x
or y = 3x - 14
Here, y stands for or represents the function g(x) which is a function of independent variable x.
Thus, the correct function notation is as follows,
g(x) = 3x - 14
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A rectangle’s area is 18 m2 it perimeter is 18 m one side is
Step-by-step explanation:
hello : here is an solution
Find AC please help trig is so hard
Oops, looks like I’m stuck. Can someone please explain to me in detail why 1 plus 1 isn’t 3? (Giving brainliest to the lengthiest and best answer)
By assuming that 1 + 1 = 3, we will reach an absurd.
How to prove that 1 + 1 isn't 3?
To do this, we need to reach an absurd.
Let's assume that we are working with integer numbers, and let's assume that 1 + 1 is equal to 3.
Then we can write:
1 + 1 = 3
Now, if we subtract 1 in both sides, we get:
(1 + 1) - 1 = 3 - 1
1 = 2
Now we can subtract 1 again so we get:
1 - 1 = 2 - 1
0 = 1
This is an absurd, then the statement:
1 + 1 = 3
is false.
So we conclude that:
1 + 1 isn't 3.
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determine which two of the three given triangles are similar. Find the scale factor for the pair
Answer:
Triangles MNP and QRS
Step-by-step explanation:
This is due to each corresponding line follows the same ratio of 1.5:1
e.g.
NP=6
RS=4
6:4
1.5:1
You can verify this by dividing 6 by 4 (6/4) which is 1.5
The two polygons are similar. Find the values of x and y.
Answer: [tex]x=11, y=9[/tex]
Step-by-step explanation:
Corresponding sides of similar figures are proportional, so:
[tex]\frac{x-2}{6}=\frac{15}{10}\\\\\frac{x-2}{6}=\frac{3}{2}\\\\x-2=9\\\\x=11[/tex]
[tex]\frac{y+3}{8}=\frac{15}{10}\\\\\frac{y+3}{8}=\frac{3}{2}\\\\y+3=12\\\\y=9[/tex]
Find the fifth term and the nth term of the geometric sequence whose initial term a, and common ratio r are given.
a₁ = 5, r=2
Answer:
a₅ = 80 , [tex]a_{n}[/tex] = 5[tex](2)^{n-1}[/tex]
Step-by-step explanation:
to find a term in the geometric sequence multiply the previous term by r
a₁ = 5
a₂ = a₁ × 2 = 5 × 2 = 10
a₃ = a₂ × 2 = 10 × 2 = 20
a₄ = a₃ × 2 = 20 × 2 = 40
a₅ = a₄ × 2 = 40 × 2 = 80
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
here a₁ = 5 and r = 2 , then
[tex]a_{n}[/tex] = 5 [tex](2)^{n-1}[/tex]
Which of these statements is true for
f(x)=(1/2)^x
A. the domain of f(x) is x>0
B. it is always increasing
C. the range of f(x) is y>1/2
D. the y-intercept is (0,1)
Answer: D. the y-intercept is (0,1)
Step-by-step explanation:
For all exponential functions without a vertical shift, the y-intercept is (0,1).
slope and y intercept?
Answer:
slope: -1/3
Y-intercept: 0
Step-by-step explanation:
The line crosses the y-axis at 0, and the pibe decreases by 1 down and goes to the side by 3, using rise over tu it would be -1/3
I hope it helps! Have a great day!
Pan~
Answer:
Slope: -1/3
Y-intercept: 0
Step-by-step explanation:
I hope it helps! Have a great day!
bren~
Mrs. Anderson had twice as many chickens as ducks. she sold 272 chickens and 16 ducks. She then had half as many chickens as ducks. How many chickens does she have?
The number of chickens she had was 352
Applications of equationsFrom the question, we are to determine the number of chicken she has
Let c represent chicken
and d represent ducks
From the given information,
Mrs. Anderson had twice as many chickens as ducks
c = 2d ---------- (1)
She sold 272 chickens and 16 ducks and then had half as many chickens as ducks
(c-272) = 1/2(d -16) ---------- (2)
Put equation (1) into (2)
2d - 272 = 1/2(d - 16)
2(2d - 272) = d- 16
4d - 544 = d - 16
4d - d = 544 - 16
3d = 528
d = 528/3
d = 176
Substitute the value of d into equation (1)
c = 2d
c = 2(176)
c = 352
Hence, the number of chickens she had was 352
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Can someone help mw please :)
Which is the population standard deviation of the data set: 8, 9, 10, 11, 12?
a. 10.123
1.414
b.
2.654
Please select the best answer from the choices provided
A
C.
d. 10
B
The population standard deviation of the data set is 1.414.
What is standard deviation?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.
How is standard deviation calculated?Determine the mean of the observationDetermine the difference between each value and the mean and then square the resultDetermine the mean of the sum of the squared differences and then find the square root of the mean:Mean = (8 + 9 + 10 + 11 + 12) / 5 = 10
Sum of squared differences: (8 - 10)² + (9 - 10)² + (10 - 10)² + (11 - 10)² + (12 - 10)² = 10
√10/5 = 1.414
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The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. A state had 424 earthquakes over a given time span and a land area of 71,300 square miles.
What is the seismic activity density for this state? Round to the nearest ten thousandth, if necessary.
0.0046 earthquakes per square mile
0.0059 earthquakes per square mile
168.1604 earthquakes per square mile
179.0049 earthquakes per square mile
Using proportions, it is found that the seismic activity density for this state is of 0.0059 earthquakes per square mile.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, the density is the proportion given by the number of earthquakes divided by the area, hence:
424/71,300 = 0.0059 earthquakes per square mile.
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Answer: Using proportions, it is found that the seismic activity density for this state is of 0.0059 earthquakes per square mile.
Step-by-step explanation:
Consider the graph of rational function f
f(x)
-4
I
T
1
-2
6-
4-
2+
-2-
-4-
-6.
0
4+12
O
N.
2
Which equation represents function ?
OA f(2)= =+
OB. f(2)=426
Oc f(2)==
OD. f(2)=342-6
TY
6
X
Answer: B
Step-by-step explanation:
There is a hole at x=2, so the numerator and denominator should both have a factor of x-2.
This eliminates everything except for B.
simplify 1/5 (-16-9) + 4^2 ÷ 8 A.-3 B.7 C. -7/5 D.3/5
The simplified form of the expression [1/5 (-16-9) + 4² ÷ 8] is -3.
Option A) is the correct answer.
What is the simplified form of the expression?
Given the expression; 1/5 (-16-9) + 4² ÷ 8
First we remove the parentheses and perform the operations using the guidelines of BODMAS
1/5 (-16-9) + 4² ÷ 8
1/5 × -25 + 4² ÷ 8
1/5 × -25 + 16 ÷ 8
-25/5 + 16/8
-5 + 2
-3
The simplified form of the expression [1/5 (-16-9) + 4² ÷ 8] is -3.
Option A) is the correct answer.
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PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².
What is the Surface Area of the Composite Figure?Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.
Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².
Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²
Area of the surface both share together = 2(16)(5) = 160 m²
Total surface area = 276 + 328 - 160 = 444 m².
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12. The average bowling score of the 5-member in Regional High School bowling team is 128. If all the members of the team get the same score except for one, who bowls a 160, what is the score of the rest of the players? (A) 32 (B) 96 (C) 120 (D) 144
Answer:
C
Step-by-step explanation:
The average is the total of the scores divided by 5.
128 x 5 Gives us the total scores of 640. I know that one bowler had a score of 160. I will subtract that from the total of 640. 640-160 = 480. Since the 4 bowlers left, all had the same score, I will divide 480 by 4 to get 120
I have trouble understanding how stuff is worded so please help me I need to know by 4 o’clock today.
Answer:
Hector makes a tent shaped like a rectangular pyramid the volume is 56 cubic feet and the area is 24 square feet how tall is the tent
Step-by-step explanation:
4z-10=10 what do i solve for z
Answer:
z = 5
Step-by-step explanation:
To solve for z, means to get z all by itself on one side of the equation. In your equation z has had two things done to it. First, z has been times by 4, then 10 is subtracted. So, you "un-do" that in reverse order.
FIRST, add 10. To reverse or "un-do" subtracting.
4z - 10 = 10
4z -10+10 = 10+10
4z = 20
Then, divide by 4 to reverse the multiplying.
4z/4 = 20/4
z = 5
see image.
Also, you can check you answer.
put in 5 in place of z and be sure that you get a true statement.
4(5) - 10 = 10
20 - 10 = 10
10 = 10 Checked!
Answer:
[tex]z=5[/tex]
Step-by-step explanation:
First, substitute in 5 for z: [tex]4(5) -10=10[/tex]
Since [tex]4*5=20[/tex], we can now simplify the equation to [tex]20-10=10[/tex].
Now, check the equation to make sure that the value of z is correct. Do this by subtracting [tex]20-10[/tex] to see if it results in a solution of 10.
Since the equation [tex]20-10=10[/tex] is equal/true, we can conclude that [tex]z=5[/tex].
Can someone please help me
Answer:
Right option is B.
Step-by-step explanation:
[tex] \sf \longrightarrow \frac{ \sec x \sin( - x) + \tan( - x) }{1 + \sec( - x) } \\ \\ \sf \longrightarrow \frac{ \sec x( - \sin x) - \tan x}{1 + \sec x} \\ \\ \sf \longrightarrow \frac{ - \frac{1}{ \cos x } \times \sin x - \tan x }{1 + \sec x} \\ \\ \sf \longrightarrow \frac{ - \tan x - \tan x}{1 + \sec x} \\ \\ \sf \longrightarrow \frac{ - 2 \tan x}{1 + \sec x} \\ \\ \sf \longrightarrow \frac{ \frac{ - 2 \sin x}{ \cos x} }{1 + \frac{1}{ \cos x} } \\ \\ \sf \longrightarrow \frac{ \frac{ - 2 \sin x}{ \cos x} }{ \frac{ \cos x + 1}{ \cos x} } \\ \\ \boxed{ \sf{\longrightarrow \frac{ - 2 \sin x}{ \cos x + 1} }}[/tex]
In ΔPQR, find the measure of ∡P. Hypotenuse is 57.6 and the opposite side is 33.8.
Step-by-step explanation:
pythogoras theorem = Q²=P²+R²
P=P
Q= 57.6
R=33.8 =
(57.8)²=(P)²+(33.8)²
=3,340.84=(P)²+1142.44
=3340.84-1142.44=P²
=2,198.4=P²
[tex] = \sqrt{2198.4} = p \\ = 46.8 = p[/tex]
Please please help me. It’s due right now! it would mean a lot :))<3 Pls show work!!!
Answer: 9 triangles.
Step-by-step explanation:
Just make a dot in the middle and make lines and connect each line to an edge or bend.
Alex scored 40 marks out of 60 in a spelling test pet scored 65% in the same test who did better
Based on the test by result, Alex did better in the test by scoring 66.67%
PercentageAlex = 40 out of 60Percentage scored by Alex = 40/60 × 100
= 0.66666666666666 × 100
= 66.6666666666666
= 66.67%
my Percentage scored by pet = 65%Therefore, Alex did better in the test
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