Answer:
7 seconds
Step-by-step explanation:
y=-16t²+96t+112, where t is time and y is distance above water.
We are looking for t when y=0
-16t²+96t+112=0
t²-6t-7=0
(t-7)(t+1)=0
Either t=7 or t=-1.
Since we cant have negative time, the answer is t=7
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
2. Multiply : 7/8÷40
Step-by-step explanation:
7/8 ÷ 40 = 0.0218
7/8 x 40 = 35
Answer:
The numbers in 7/8 divided by 40 are labeled below:
7 = numerator
8 = denominator
40 = whole number
To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:
7
8 x 40
=
7
320
Thus, the answer to 7/8 divided by 40 in fraction form is:
7
320
To make the answer to 7/8 divided by 40 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
7/320 = 0.0219
The answer is rounded to the nearest four decimal points if necessary.
Step-by-step explanation:
Find the indicated probability. Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places
Answer:
P = 0.00000751
the probability that 3 randomly selected people all have the same birthday is 0.00000751
Step-by-step explanation:
the probability that 3 randomly selected people all have the same birthday P;
P = P1 × P2 × P3 ........1
For the first person, since there is no specified date, he can have any of the 365 days of the year as his birthday. the probability P1 is;
P1 = 365/365 = 1
For the second person, he must have the same birthday as the first. The probability P2 is;
P2 = 1/365
The third person must also have the same birthday as the other two. The probability P3 is;
P3 = 1/365
Substituting the values into equation 1;
P = 1 × 1/365 × 1/365
P = 0.0000075060987051
To eight decimal places;
P = 0.00000751
the probability that 3 randomly selected people all have the same birthday is 0.00000751
Can y’all pls answer both questions
The number of times of Puerto Rico is 5/6
No earthquake released 10³ of Colombia
How to determine the number of timesFrom the question, we have the following parameters that can be used in our computation:
The table of values
On the table of values, we have
Colombia = 6.0M
Puerto Rico = 5.0M
This means that
Number of times = Puerto Rico/Colombia
Substitute the known values in the above equation, so, we have the following representation
Number of times = 5/6
The earthquake that released 10³ of ColombiaHere, we have
Colombia = 6.0M
So, we have
Earthquake = Colombia * 10³
This gives
Earthquake = 6 * 10³
From the table of values, we have no entries with the readings 6 * 10³
Hence, no earthquake released 10³ of Colombia
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I need help on the value of X
A new blood pressure medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on dose. When 50 milligrams of the medication was administered to a simple random sample (SRS) of 40 patients, 12 of them demonstrated lower blood pressure. When 100 milligrams of the medication was administered to another SRS of 35 patients, 14 of them demonstrated lower blood pressure. Which of the following test statistics is an appropriate hypothesis test?
a z-test for the proportional difference is the proper hypothesis test.
What is the deviation in proportions?A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.
which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).
Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.
\(z = (p1 - p2) / SE\)
where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.
the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:
\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)
here, the sample sizes for two doses is n1 and n2.
We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.
Therefore, a z-test for the proportional difference is the proper hypothesis test.
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find all the points (x,6) that are 10 units from the point P (-17,-2)
Answer:
The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)
Step-by-step explanation:
Distance Between Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
\(d=\sqrt{(z-y)^2+(w-x)^2}\)
It can be also expressed as:
\(d^2=(z-y)^2+(w-x)^2\)
Substituting the values of both points, and knowing the distance is 10:
\(10^2=(6-(-2))^2+(x+17)^2\)
\(100=8^2+(x+17)^2\)
Swapping both sides:
\(64+(x+17)^2=100\)
Moving the constants to the right side:
\((x+17)^2=100-64=36\)
Taking the square root:
\(x+17=\pm 6\)
We get two possible answers:
\(x=-17-6=-23\)
\(x=-17+6=-11\)
Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)
A triangle has an area of 54 m2 and a height of 9 m.
How long is the base of the triangle?
Answer:
So your answer is 12m.
Step-by-step explanation:
Area of the triangle = 1/2 * base * height
We are given that:
area = 54 m^2
height = 9 m
Substitute in the equation to get the base as follows:
Area of the triangle = 1/2 * base * height
54 = 1/2 * base * 9
108 = 9*base
base = 12 m
Hope this helps :)
you mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quart of purple paint. How much blue paint and how much red paint do you use?
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.
Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,
x / y = (1/2) / (1/3)
x / y = 3/2 ...1
x + y = 5 ...2
From equations 1 and 2, then we have
(3/2) y + y = 5
(5/2) y = 5
y = 2 quart
Then the value of 'x' is given as
x + 2 = 5
x = 3 quart
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
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Which angles below are equal to ∠CDB?
Answer:
(x) ∠CAB
Step-by-step explanation:
In ΔCOD and ΔBOA
\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)
Also,
∠COD = ∠BOA (vertically opposite angles)
⇒ ΔCOD and ΔBOA are similar
⇒ ∠CDO = ∠BAO
⇒ ∠CDB = ∠BAC
⇒ ∠CDB = ∠CAB
Simplify 3 hours: 45 m
The simplification of 3 hours : 45 m is 4 minutes : 1 minutes.
How to simplify ratio?Ratio refers to a number representing a comparison between two named quantities.
3 hours : 45 m
Convert hours to minutes:
1 hour = 60 minutes
3 hours = 180 minutes
3 hours : 45 m = 180 minutes : 45 minutes
= 180/45
= 4 / 1
= 4 : 1
Ultimately, 3 hours : 45 m is 4 minutes ratio 1 minutes.
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please help me with these 2 my mom wont help me please help me
To solve for x, first multiply the terms to remove the brackets
\(\begin{gathered} 6+3x=5(x-1)-3(x-2) \\ 6+3x=5x-5-3x-(2)(-3) \\ 6+3x=5x-5-3x+6 \\ 6+3x=5x-3x+1 \end{gathered}\)Now bring all the x terms to LHS
\(\begin{gathered} 3x+3x-5x=1-6 \\ 6x-5x=-5 \\ x=-5 \end{gathered}\)Hence the value of x is -5
which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?
Answer:
Measuring it with a ruler and jotting down the length.
Step-by-step explanation:
If you are copying a line segment, the best way to copy it perfectly is to take the measure of the original line segment and copy down the measurement and then construct the other line segment to the exact measure.
Answer:
Brianlliest!
Step-by-step explanation:
you must measure the current line segment and copy it with the same length and make a new one
figure 2-18 shows four paths along which objects move from a starting point to a final point, all in the same time interval. the paths pass over a grid of equally spaced straight lines
The ranking based on average speed is 1 > 2 > 4 > 3
(a) Based on the given information, we have:
V1 = V2: The objects on paths 1 and 2 have the same average velocity.
V3 < V4: The object on path 4 has a greater average velocity than the object on path 3.
(b) Average speed is simply the distance traveled divided by the time interval. If the objects move at a constant speed along each path, then the paths with the greatest distances will have the greatest average speeds. Therefore, the ranking based on average speed is:
1 > 2 > 4 > 3
Note that this ranking is based only on the distances traveled along each path, and does not take into account the directions of motion or any changes in direction.
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Find the slope, if it exists, of the line containing the points (-1,-15) and (-17,-20)
The slope is _____________________
Help please! I beg you
how many hundred billions in the number 432,845,979,484
There are 4 hundred billions in the number 432,845,979,484.
To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.
The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.
Let's break down the number:
4 hundred billions (4 x 100,000,000,000)
3 ten billions (3 x 10,000,000,000)
2 billions (2 x 1,000,000,000)
8 hundred millions (8 x 100,000,000)
4 ten millions (4 x 10,000,000)
5 millions (5 x 1,000,000)
9 hundred thousands (9 x 100,000)
7 ten thousands (7 x 10,000)
9 thousands (9 x 1,000)
4 hundreds (4 x 100)
8 tens (8 x 10)
4 units (4 x 1)
As we can see, there are 4 hundred billions in the number 432,845,979,484.
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8,000 people try a shampoo. 16 people have a reaction. What percent of people have a reaction
if we divide 16 by 8000, we get 0.002
Times 0.002 with 100, and you will get your percent
0.002*100=0.2
16 is 0.2% of 8000
1.
The stock clerks at Mega Brands earn $320 each week plus $16 per hour for any
overtime. They use the expression 320 + 16h to find their total earnings for a week in
which they worked h hours of overtime. What are the total earnings of a stock clerk whr
worked 4 hours of overtime last week?
Answer:
Step-by-step explanation:
The total earnings of a stock clerk who worked 4 hours of overtime last week can be found by substituting h = 4 into the expression 320 + 16h and simplifying:
320 + 16(4) = 320 + 64 = 384
Therefore, the stock clerk earned $384 in total last week.
please hit the heart hope this helps!!!
The cylindrical can below will be covered by a label on its lateral surface. Find the surface area of the label to the nearest tenth.
4.5 in height
2.25 in. Radius
O 14.1 in²
O 71.5 in²
O 63.6 in²
O 95.4 in²
SOMEONE PLEASE PLEASE HELP!!!!
Answer:
49\(\sqrt{21}\)
Step-by-step explanation:
You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well
Answer: 49 √3 or 84.87049
Step-by-step explanation:
What is the value of the expression
6t - 2
+4(t + 1) when t = 5?
4.
Answer:
(6 x 5) - 2 + 4(5 + 4)
30 - 2 +20 +16
A = 64
Step-by-step explanation:
Give the domain and range of the relation.
Answer:
(a) D: {-5, 0, 4, 6}; R: {-9, 0, 9, 13}
Step-by-step explanation:
The domain is the list of values in the x-column.
The range is the list of values in the y-column.
It is useful, but not essential, that the values be listed in numerical order.
x-values are 4, 6, 0, -5, so we can say the domain is {-5, 0, 4, 6}
y-values are 9, 13, 0, -9, so we can say the range is {-9, 0, 9, 13}
Please Help! Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
g(t) = 5t^2 − 8t + 3
Answer:
Given:
g(t) = 5t² − 8t + 3Find the following
g(2)
g(2) = 5(2²) - 8(2) + 3 = 20 - 16 + 3 = 7g(t - 2)
g(t - 2) = 5(t - 2)² - 8(t - 2) + 3 = 5t² - 20t + 20 - 8t + 16 + 3 = 5t² - 28t + 39g(t) - g(2)
g(t) - g(2) = 5t² − 8t + 3 - 7 = 5t² − 8t - 4g(t)=5t^2-8t+3
\(\\ \sf\longmapsto g(2)=5(2)^2-8(2)+3\)
\(\\ \sf\longmapsto g(2)=5(4)-16+3\)
\(\\ \sf\longmapsto g(2)=20-13\)
\(\\ \sf\longmapsto g(2)=7\checkmark\)
And
\(\\ \sf\longmapsto g(t-2)=5(t-2)^2-8(t-2)+3\)
\(\\ \sf\longmapsto g(t-2)=5(t^2-4t+4)-8t+16+3\)
\(\\ \sf\longmapsto g(t-2)=5t^2-20t+20-8t+19\)
\(\\ \sf\longmapsto g(t-2)=5t^2-28t+39\checkmark\)
And
\(\\ \sf\longmapsto g(t)-g(2)\)
\(\\ \sf\longmapsto 5t^2-8t+3-7\)
\(\\ \sf\longmapsto 5t^2-8t-4\)
What is Y= -3/10x-8 written in standard form?
Someone please help (show work)
Answer:
See answers below :)
Step-by-step explanation:
-2(2 - 5) + 10 + (-5) =
-2(-3) + 10 - 5 =
6 + 10 - 5 =
11
8 - 2(9 - 5)^2 - 1 =
8 - 2(4)^2 - 1 =
8 - 2(16) - 1 =
8 - 32 - 1 =
-25
What type of number is √25? Whole number , integer , rational or irrational . SELECT ALL THAT APPLY
Answer:
A, B, and C.
Step-by-step explanation:
The square root of 25 is 5. 5 is rational, a whole number, and an integer.
Transformations,, I have no clue what to do :(
Answer: 17
Step-by-step explanation:56%
Please help!! Need it asap
Answer:
what is sin^3A=3sinA-4sin^3A
Answer:
y = -3x + 9
Step-by-step explanation:
pretty much the slope is what is in front of the x.
the slope is rise of run and since it goes down by 3 every time x goes up by 1, the slope is -3.
The +9 is just what y is equal to when x is 0
on a number line what is the distance between 18 and 36
Answer:
17
Step-by-step explanation:
18, 19, 20, 21, 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36