Answer:
12.6
Step-by-step explanation:
Pythagorean theorem: a^2+b^2=c^2
you are given c & b you have to find a so
c^2-b^2=a^2
196-36=160
take the square root of 160
12.6 is the final answer :)
15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answer:
The answer is Ahope this helps
Is the expression 3x+2 a binomial?
Yes, this is a polynomial, but a special form of a polynomial with just one term which is called a monomial .
Point P on the coordinate grid below shows the location of a ght. A second stage light is 10 units above P. The length of What are the coordinates of the location of the second stage light ?
Given:
The coordinates of points P is (2,-6).
The second stage light is 10 units above p.
\(\begin{gathered} (x,y)\rightarrow(x,y+a)\text{ } \\ a=10 \\ (2,-6)\rightarrow(2,-6+10)=(2,4) \end{gathered}\)Answer: The coordinates of the location of the second stage light is (2,4)
Identify the first step when evaluating the expression 11 – 10 ÷ 2 + 6 × 1
HELP PLEASEEEEEEE!!!!!
The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:
the measure of angle Z is equal to 65°
the side EF corresponds to JK and side FG corresponds to KL, so:
8/20 = 11/x
x = (11 × 20)/8 {cross multiplication}
x = 27.5
the side EF corresponds to JK and EH corresponds to JM, so:
8/20 = y/30
y = (30 × 8)/20 {cross multiplication}
y = 12
Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
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2x(27x+5) Evaluate this please
Answer:
54x^2 + 10x
Step-by-step explanation:
Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n. the quotient of a number divided by 11 is 0.5
a. 22 73= 5.5
b. - = 0.5 = 5.5
C. 11x= 1.5 = 5.5
d. llx=0.5 2= 0.045
Answer:
n = 5.5
Step-by-step explanation:
Let the number be n. The quotient of a number divided by 11 is 0.5.
ATQ,
\(\dfrac{n}{11}=0.5\)
Multiply both sides by 11.
\(\dfrac{n}{11}\times 11=0.5\times 11\\\\n=5.5\)
Hence, the required number is 5.5.
Answer:
b. - = 0.5 = 5.5
Step-by-step explanation:
Find the factor of each ff.
49x²-63x+7
Answer:
7(7x²-9x +1)
Step-by-step explanation:
49x²-63x+7
7(7x²-9x +1)
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Number of car sold are 98.
Number of trucks sold are 66.
Given,
Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .
Let number of cars sold are x.
Let number of cars sold of y .
Now,
For dealership 1 equation will be,
x + y = 164 ......(1)
For dealership 2 equation will be,
As the cars are sold twice and trucks are sold half .
2x + y/2 = 229......(2)
Solving 1 and 2,
y = 66
x = 98
Thus number of car sold are 98.
Thus number of trucks sold are 66.
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Can u help me please
Answer:
10 percent per minute
Step-by-step explanation:
The length of the base of an isosceles triangle is 49.96 meters. Each base angle is 31.43°. Find the length of each of the two equal sides of the triangle. Round to the hundredths place.
Given that:
- The triangle is isosceles.
- Its base is 49.96 meters.
- Each base angle is 31.43°.
You can draw the triangle. See the picture shown below (it is not drawn the scale):
Notice that the Isosceles Triangle can be divided into two equal Right Triangles. Then, you know that:
\(CD=BD=\frac{49.96m}{2}=24.98m\)Since it is isosceles, the sides AB and AC have equal length.
Then, you can choose one of the equal Right Triangles and use the following Trigonometric Function in order to find the length of each equal side:
\(\cos \beta=\frac{adjacent}{hypotenuse}\)In this case, you can set up that:
\(\begin{gathered} \beta=31.43\degree \\ adjacent=24.98 \\ hypotenuse=AC \end{gathered}\)Therefore, substituting values and solving for AC, you get:
\(\begin{gathered} \cos (31.43\degree)=\frac{24.98}{AC} \\ \\ AC\cdot\cos (31.43\degree)=24.98 \end{gathered}\)\(\begin{gathered} AC=\frac{24.98}{\cos (31.43\degree)} \\ \\ AC\approx29.28 \end{gathered}\)Hence, the answer is:
The length of the two equal sides of the triangle is:
\(length\approx29.28m\)I need the right answer no link or bot
Answer:
3. Yes, because it can be written as 23/100
Step-by-step explanation:
Answer:
The third one that says Yes because it can be written as 23/100
Step-by-step explanation:
seee the attachment photo plz
Answer:
not sure
Step-by-step explanation:
What's the new volume of the new box?
Please answer quickly
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The coordinates of vertex D in the parallelogram are (-7, -10).
We have,
To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.
One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.
Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:
Find the vector representing one of the sides of the parallelogram.
We can use the vector AB.
Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)
= (6 - 8, -4 - 2)
= (-2, -6)
Add this vector to point C to find the coordinates of D.
Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)
= (-5 - 2, -4 - 6)
= (-7, -10)
Therefore,
The coordinates of vertex D are (-7, -10).
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Evaluate (if possible) the six trigonometric functions of the angle (0).
-5pi/6
Answer:
sin(-5π/6) = -1/2cos(-5π/6) = -√3/2tan(-5π/6) = √3/3csc(-5π/6) = -2sec(-5π/6) = -2√3/3cot(-5π/6) = √3Step-by-step explanation:
You want the 6 trig functions of the angle -5π/6.
QuadrantThe angle is in the 3rd quadrant, so all trig functions are negative except the tangent and cotangent. The reference angle is -5π/6 +π = π/6.
Trig functionsSince you have memorized the values of the trig functions for multiples of π/6, you know ...
sin(-5π/6) = -1/2
cos(-5π/6) = -√3/2
tan(-5π/6) = sin/cos = √3/3
csc(-5π/6) = 1/sin = -2
sec(-5π/6) = 1/cos = -2√3/3
cot(-5π/6) = 1/tan = √3
Answer/Step-by-step explanation:
Use a Unit Circle, you may have access to (hopefully) or have been asked to memorize.
To find -5pi/6 count clockwise the sixths to 5. Or add:
-5pi/6 + 2pi
= -5pi/6 + 12pi/6
= 7pi/6
-5pi/6 is the same as 7pi/6 on the Unit Circle.
Use the coordinates at that spot
(-root3/2 , -1/2)
to find the six trig ratios.
The Unit Circle is a big, giant, Answer Key. It has all the trig answers on it all in one place. It looks like a scary math pizza, but really its all the answers all in one place.
Once you find your angle, the sine is the y-coordinate.
sin theta = -1/2
The cosine is the x-coordinate.
cos theta = -root3/2
Tangent theta is the sine over the cosine, sin/cos,
= y/x
= (-1/2) / (-rt3/2)
Use Keep-Change-Flip to simplify this.
see image.
= root3/3
Sec is cos flipped over. Csc is sin flipped over. Cot is tan flipped over (the math word is reciprocal)
Yes, just flip over sin to get csc:
sintheta = -1/2
csctheta = - 2/1 = -2
Flip over cos to get sec:
costheta = -rt3/2
sectheta = 2/-rt3
Then rationalize, see image.
= -2rt3/3
Flip over tan to get cot.
tantheta = 1/rt3
Use a form that's easy to flip.
cottheta = rt3/1 = rt3
see image.
help pls. i’ll give brainliest
Answer:
last 2 I think
Step-by-step explanation:
okokokokokipullup
I am a quadrilateral.
• I have two pairs of parallel sides.
• All my sides are the same length.
Which name describes me the best?
rectangle
parallelogram
trapezoid
square
rhombus
Answer:
those criteria define a square or a rhombus
Step-by-step explanation:
if there was another fact about the angle measures, for example if it said all my angles are equal then it would be a square, not a rhombus
You have four fun things in a bag (scorpion, tarantula, centipede, and wasp). You reach into the bag and randomly grab two fun things, one after the other, keeping both. Create a tree diagram, table, or list that models the sample space for this event.
Answer: Here is a table that models the sample space for this event:
Scorpion Tarantula Centipede Wasp
First S1 T1 C1 W1
Second S2 T2 C2 W2
Each combination of two fun things is represented by a two-letter code. For example, "S1T2" represents grabbing the scorpion first and the tarantula second.
Here is the list of all possible outcomes:
S1S2
S1T2
S1C2
S1W2
T1S2
T1T2
T1C2
T1W2
C1S2
C1T2
C1C2
C1W2
W1S2
W1T2
W1C2
W1W2
And here is a tree diagram that shows the same information:
|----S2
|----T2
First --|----C2
|----W2
|
|----S2
|----T2
Second--|----C2
|----W2
The branches on the left represent the first fun thing that is grabbed, and the branches on the right represent the second fun thing that is grabbed.
Step-by-step explanation:
y/-2 = -34
giving brain.
Answer:
y=68
Step-by-step explanation:
Answer:
y = 68
Step-by-step explanation:
We have the expression y over -2 = -34 and are asked to solve or y.
To solve, we need to isolate for y :
y/-2 = -34
Multiply -2 from both sides :
\(\frac{y}{-2} *-2=-34*-2\)
\(y = 68\)
5a. find the value of a.
The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;
5 a. The value of a is 3.5
b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel
What is a logarithmic function?A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential function
The function is f(x) = a·log₃(x - 4),
x > 4 and a > 0
The coordinates of a point on the graph of the function, f is A(13, 7)
5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows
f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²
7 = a·log₃3²
7 = 2·a·log₃3 = 2·a·1 = 2·a
2·a = 7
a = 7 ÷ 2 = 3.5
a = 3.5
5 b. The coordinates of the x-intercept of the graph = (5, 0)
The equation of the function is;
f(x) = 3.5·log₃(x - 4)
A third point on the graph is given when f(x) = 14 as follows;
f(x) = 14 = 3.5·log₃(x - 4)
log₃(x - 4) = 14 ÷ 3.5 = 4
3⁴ = x - 4
x = 3⁴ + 4 = 85
Which gives the point, (85, 14)
Similarly, we have the point (31, 10.5), (7, 3.5)
Please find attached the graph of f(x) created with MS Excel
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Dividing fractions word problem,
I need your help, yes you!
Answer: 2
Step-by-step explanation:
Answer:
I think it's 2kg
Step-by-step explanation:
13/5 ÷ 13/10
Reciprocate
13/5 × 10/13
= 26/13
=2kg
what is 6 divided by 3/5
Answer:
10
brainliest plz? tysm
Hi! I believe your answer is 10. I hope this helps you! Good luck and have a great day. ❤️ (Thank you for the free points, by the way! :))
your friend claims that the average maximum amount of time people can hold their breath is less than 60 seconds. to check whether your friend's claim is true, you take a random sample of the maximum amount of time 10 people can hold their breath. 42 45 47 50 58 60 61 63 64 68 assume the population is approximately normal. perform a hypothesis test to determine whether the average maximum amount of time people can hold their breath is less than 60 seconds. use the alpha =0.05 level of significance.
a. state the null and alternate hypothesis
b. compute the value of the test statistic. round your intermediate calculations and final answer to at least three decimal places.
c. give the p-value
d. determine whether to reject the null hypothesis
e. state a conclusion in the context of the question (in the story of the problem)
Using the t-distribution, it is found that:
a)
The null hypothesis is: \(H_0: \mu \geq 60\)
The alternative hypothesis is: \(H_1: \mu < 60\)
b) t = -1.47
c) 0.0878.
d) Do not reject the null hypothesis.
e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
Item a:
At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:
\(H_0: \mu \geq 60\)
At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:
\(H_1: \mu < 60\)
Item b:
We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean. \(\mu\) is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:
\(\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10\)
Hence, the value of the test statistic is:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}\)
\(t = -1.47\)
Item c:
The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.
Using a t-distribution calculator, this p-value is of 0.0878.Item d:
The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.
Item e:
Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
A similar problem is given at brainly.com/question/24826023
Layla is saving money to buy a bicycle that costs $249. She has already saved $193. She saves
$7 each week. Which inequality shows the solution set for the number of weeks that Layla will
need to save money to be able to buy the bicycle?
Answer: It would take her another 8 weeks to get a total of $249.
Step-by-step explanation:
An alternative sampling method would be to select a stratified random sample of eight apartments, where the
strata are apartments with children and apartments with no children. A stratified random sample of size eight
might include two randomly selected apartments with children and six randomly selected apartments with no
children. In the context of this situation, give one statistical advantage of selecting such a stratified sample as
opposed to a cluster sample of eight apartments using the floors as clusters.The amount of carpet wear could be different for apartments with and without children.
2. The stratified random sample ensures that some apartments with children will be selected.
(a) There are 36 ways to select 8 apartments randomly by cluster sampling method.
(b) Throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.
(a) Given the building has 9 floors which are taken as N=9 clusters.
Each floor has 4 apartments.
It is to select 8 apartments by cluster sampling method.
That is to select a sample of size any n=2 floors(clusters) by cluster sampling method out of the population of N=9 clusters.
By simple random sampling without replacement, there are NCn = 9C2 =36 ways to select 2 clusters.
Hence, there are 36 ways to select 8 apartments randomly by cluster sampling method.
(b) The main benefit of stratified sampling over cluster sampling is that the sample obtained using this method will unquestionably include representations of both features, i.e., apartments with and without children as a full representative of the population.
In contrast, there is no guarantee that the sample of flats with and without children from the cluster sampling approach will accurately reflect both qualities. Sometimes throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.
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The right question is given beow:
2. (7 points) If f(x) = -5 cosx+xtanx, find df and evaluate if x = pi/4 and dx = 1/24
The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).
To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.
Apply the product rule:
Let u(x) = -5cos(x) and v(x) = xtan(x).
Then, the product rule states that (uv)' = u'v + uv'.
Derivative of u(x):
u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]
Derivative of v(x):
v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]
= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]
Applying the product rule:
(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))
= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Simplify the expression:
df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.
Substitute x = π/4 into the derivative expression:
df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)
Simplify the trigonometric values:
sin(π/4) = cos(π/4) = 1/√2
tan(π/4) = 1
sec(π/4) = √2
Substituting these values:
df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)
Simplifying further:
df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)
= (5π/4√2) - (10π/4√2) - (5/√2)
= (5π - 10π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:
df = (-5π - 5√2)/(4√2) * (1/24)
= (-5π - 5√2)/(96√2)
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The United States of America consists of 50 states and _____ territories.
A.
3
B.
4
C.
5
D.
6
Answer:
USA has five territories. 5 have a permanent, nonmilitary population but tbe over nine don't. 14 all together.
Answer:
C.) 5
Step-by-step explanation:
Hope you have a good day and get good grades
Create a dot plot of the data shown below.
20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24
Which measure of center would best describe a typical
value of the data set? Why?
would be best,
The mean
because the data distribution is
V nearly symmetrical
Intro
Click or tap the number line to add a dot.
20 21
22
23 24 25 26 27 28 29
Reset
Based on the data, the mean would be the best measure of center to describe a typical value in the data set.
How to create a dot plot with the given data?To create a dot plot, we can list the numbers in order and place a dot above the corresponding value on the number line.
20 ••
21 ••
22 •
23 ••••
24 •••••
25 ••
26 ••
27 •
The dot plot shows a relatively symmetric distribution of the data, with the majority of values clustered around the middle. Therefore, the mean would be a good measure of center to describe a typical value of the data set.
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