Answer:
0.311 miles
Step-by-step explanation:
Convert 16 seconds to hours :
16 /60×60
= 16÷3600
= .004444hrs
Distance = Speed × time
= 70 × 0.00444444
= 0.311 miles
Pls Need this ASAP
When purchasing a home, you need a loan for $80,000. The interest rate of the
loan is 8% and you are required to make monthly payment of $587.
Answer:
1) 5m
2) 0.25tan
Step-by-step explanation:
The temperature on Thursday afternoon was 77 °F. A thunderstorm rolled through, and the temperature dropped by 10 °C. What was the temperature after the storm?
Answer:
15 °C
Step-by-step explanation:
°C = (°F - 32) * (5/9)
Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.
Initial temperature: 77 °F
Converting to Celsius:
°C = (77 - 32) * (5/9)
°C ≈ 25
The temperature dropped by 10 °C, so the final temperature is:
Final temperature = Initial temperature - Temperature drop
Final temperature ≈ 25 - 10 = 15 °C
Therefore, the temperature after the storm was approximately 15 °C.
Someone please help me I need help .
Answer:
It’s the last option; 10/24 and 20/24
What is the surface area of the square pyramid?
Answer:
SA = 16 units^2
Step-by-step explanation:
B - base
H - height
SA - surface area
B = 2
H = 3
SA = (B × B) + 4((1/2)×(B × H))
SA = (2×2) + 4((1/2)×(2×3))
SA = 16 units^2
PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)
Identify the surface area of the composite figure to the nearest tenth.
Answer:
D.
Step-by-step explanation:
6a² = surface area for cube
6(5)² = 150
2\(\pi\)(r)(h)+2\(\pi\)r² = surface area cylinder
2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi
150 + 20pi = 212.8318531
What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | −4 < y < 1} {y | −4 < y < 1}
The domain of function f(x) is given as follows:
{x | 1 ≤ x < 5}.
How to define the domain and range of a function?The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.The values of x of the function given at the end of the answer are as follows:
Starts at x = 1(closed interval).Ends at x = 5 (open interval).Hence the domain is given as follows:
{x | 1 ≤ x < 5}.
Missing InformationThe function is given by the image presented at the end of the answer.
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Answer:
A - {x | 1 < x < 5}
Step-by-step explanation:
took the Quiz
what's is the area of circle of circle with a radius of 7 inches use =3.14.
Answer: To find the area of a circle you use pi x rsquared. So just 3.14x7^2= 153.86
Step-by-step explanation:
If f(x) =-x^3 + 2x^2 -3,find f(2)
Steps to solve:
f(x) =-x^3 + 2x^2
~Substitute
f(2) = -(2)^3 + 2(2)^2
~Simplify
f(2) = -2^3 + 2(4)
~Simplify
f(2) = -8 + 8
~Add
f(2) = 0
Best of Luck!
Answer:
-3
i hope this is the answer ur looking for
Step-by-step explanation:
The perimeter of a parallelogram is 40 meters. The width of the parallelogram is 8 meters less than its length. Find the length and the width of the parallelogram. x meters (x -8) meters The length of the parallelogram is The width of the parallelogram is
The perimeter of the parallelogram is P=40m
Its length is w= x - 8m
l=x
The perimeter of a parelalogram can be calculated as the sum of all its sides, or:
P=2(l+w)
Since its opposite sides are congruent.
Replace the formula with the expressions for the width and lenght to determine an equation. Then from this equation you can clear the value of x
\(\begin{gathered} P=2(l+w)=2l+2w \\ 40=2x+2(x-8) \\ 40=2x+2x-16 \\ 4x=56 \\ x=14 \end{gathered}\)The length is l=x= 14m
The width is w=x-8=14-8= 6m
Henri necesita empacar en la menor cantidad de de cajas, cinta de color rojo y cinta de color verde si hay 120 metros de cinta de color rojo y 160 metros de cinta de color verde ¿que cantidad de cinta roja y verde deberá empacar Henri en cada caja?
Answer:
Step-by-step explanation:
How do you find the x-intercept of a parabola?
Please help‼️
Given O below, if XY and YZ are congruent, what is the measure of chord XY?
Answer:
11.2
Step-by-step explanation:
yz = 11.2
since the corresponding arc of yz and xy are same, their measures will ba same too
Answered by GAUTHMATH
Answer:
11.2
Step-by-step explanation:
good luck!
Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. sin 87° =
7.901×10 to the 12th power in standard form
Answer:
7019
Step-by-step explanation:
Answer:
Nan-9
Step-by-step explanation:
find the perimeter of the figure below.
PLEASE GIVE A EXPLANATION
grade 11 2022 June common test mathematics memorandum?
Note that the roots of the equation Unequal and rational (Option D)
How is this so ?The roots of the equation (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.
x - 3 = ±√4
⇒ x - 3 = ±2
Solve for x
For the positive square root.
x - 3 = 2
x = 2 + 3
x = 5
For the negative square root.
x - 3 = -2
x = -2 + 3
x = 1
Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)
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Full Question:
Although part of your question is missing, you might be referring to this full question:
The roots of the equation (x - 3)² = 4 are
A.Unequal and irrational.
B.Equal and rational.
C. Equal and irrational.
D. Unequal and rational.
find the perimeter of 2⅔ spuare
Answer:
Perimeter=2⅔
Step-by-step explanation:
remains the same, for given four sided lengths each of ⅔
Which is true?
A 159. 399 > 159. 410
B 11. 0 = 11. 000
C 5. 9 < 5. 899
D 1. 4036 > 1. 7001
Answer:
b
Step-by-step explanation:
159.410 is greater than 159.399 with 0.011
11.0 is the same as 11.000
and so on
The graph represents the distance, in kilometers, that a car traveled. How far had the car traveled in 3/4 of an hour?
Answer: if you dont show the picture i cant answer!
Step-by-step explanation:
Triangle ABC has vertices of A(-6, 7), B(4, -1), and C(-2, -9). Find the length of the median from
A. 4
B. Square Root of 18
C. 8
D. Square Root of 68
Answer:
A
Step-by-step explanation:
are the two triangles congruent 6cm 13cm
Congruent triangles are triangles that have equal corresponding angles and sides.
There is no enough information to determine if the triangles are congruent.
From the images of the triangles (see attachment), we can see that the two triangles have 6cm and 13cm as the lengths of their sides.
However, the side lengths of both triangles are not corresponding, and the angle measures are not given.
Hence, there is no enough information to determine if the triangles are congruent.
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Many students brag that they have more than 150 friends on a social media website. For a class project, a group of students asked a random sample of 13 students at their college who used the social media website about their number of friends and got the data available below. Is there strong evidence that the mean number of friends for the student population at the college who use the social media website is larger than 150?
Required:
a. Find and interpret the test statistic value.
b. Report and interpret the P-value and state the conclusion in context. Use a significance level of 0.05.
c. What does the test statistic value represent?
1. The test statistic value is the difference between the sample mean and the null hypothesis value.
2. The test statistic value is the number of standard errors from the null hypothesis value to the sample mean.
3. The test statistic value is the expected mean of the differences between the sample data and the null hypothesis value.
4. The test statistic value is the number of standard deviations from the null hypothesis value to the sample mean.
Answer:
Step-by-step explanation:
The question is incomplete. The missing data is:
30, 155, 205, 235, 180, 235, 70, 250, 135, 145, 225, 230, 30
Solution:
Mean = (30 + 155 + 205 + 235 + 180 + 235 + 70 + 250 + 135 + 145 + 225 + 230 + 30)/13 = 163.5
Standard deviation = √(summation(x - mean)²/n
n = 13
Summation(x - mean)² = (30 - 163.5)^2 + (155 - 163.5)^2 + (205 - 163.5)^2+ (235 - 163.5)^2 + (180 - 163.5)^2 + (235 - 163.5)^2 + (70 - 163.5)^2 + (250 - 163.5)^2 + (135 - 163.5)^2 + (145 - 163.5)^2 + (225 - 163.5)^2 + (230 - 163.5)^2 + (30 - 163.5)^2 = 73519.25
Standard deviation = √(73519.25/13) = 75.2
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≤ 150
For the alternative hypothesis,
µ > 150
It is a right tailed test.
a) Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 13,
Degrees of freedom, df = n - 1 = 13 - 1 = 12
t = (x - µ)/(s/√n)
Where
x = sample mean = 163.5
µ = population mean = 150
s = samples standard deviation = 75.2
t = (163.5 - 150)/(75.2/√13) = 0.65
The lower the test statistic value, the higher the p value and the higher the possibility of accepting the null hypothesis.
b) We would determine the p value using the t test calculator. It becomes
p = 0.26
Since alpha, 0.05 < than the p value, 0.26, then we would fail to reject the null hypothesis. Therefore, At a 5% level of significance, the sample data does not show significant evidence that the mean number of friends for the student population at the college who use the social media website is larger than 150.
c)
1.The test statistic value is the difference between the sample mean and the null hypothesis value.
Here is another question DUE SOON PLEASE ASAP
Question 5(Multiple Choice Worth 1 points)
(08.07 MC)
The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of p(x) in vertex form is;
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
What is vertex?In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.
To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.
To find the vertex, we can use the formula:
x = -b/2a, where a is the coefficient of the x² term, b is the coefficient of the x term, and c is the constant term.
Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.
We can then use the formula to find the vertex:
x = -b/2a = -5/2a
Using the values from the table, we can set up two equations:
46 = a(5)² + b(5) + c
1 = a(0)² + b(0) + c
Simplifying the second equation, we get:
1 = c
Substituting c = 1 into the first equation and solving for a and b, we get:
46 = 25a + 5b + 1
-20 = 5a + b
Solving for b, we get:
b = -20 - 5a
Substituting b = -20 - 5a into the first equation and solving for a, we get:
46 = 25a + 5(-20 - 5a) + 1
46 = 15a - 99
145 = 15a
a = 9.67
Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:
b = -20 - 5(9.67) = -71.35
Therefore, the equation of p(x) in vertex form is:
p(x) = 9.67(x - 5)² + 1
Simplifying, we get:
p(x) = 9.67(x² - 10x + 25) + 1
p(x) = 9.67x² - 96.7x + 250.85 + 1
p(x) = 9.67x² - 96.7x + 251.85
Rounding to the nearest hundredth, we get:
p(x) = 9.67(x - 5² + 1 = 9.67(x + 1.04)² - 10.25
Therefore, the answer is:
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
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Siplyfying radicals- Pythagorean theorem maze
By Pythagorean theorem, the maze is solved in the following way: x = 6√5 → x = 2√5 → x = 13√5 → x = 2√41 → x = 18√2 → x = 4√6 → x = 4√41 → x = 8√3 → x = 8√5
How to solve a maze involving Pythagorean theorem
In this problem we need to complete a maze by means of Pythagorean theorem, whose definition is now introduced:
r² = x² + y²
Where:
r - Hypotenuse.x, y - LegsNow we proceed to solve the maze:
Step 1:
x = √(12² + 6²)
x = 6√5
Step 2:
x = √(6² - 4²)
x = 2√5
Step 3
x = √(22² + 19²)
x = 13√5
Step 4
x = √(8² + 10²)
x = 2√41
Step 5
x = √(27² - 9²)
x = 18√2
Step 6
x = √(14² - 10²)
x = 4√6
Step 7
x = √(16² + 20²)
x = 4√41
Step 8
x = √(16² - 8²)
x = 8√3
Step 9
x = √(24²- 16²)
x = 8√5
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Please help it’s due today!!!!
4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.
5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.
How to verify that RSTU is a trapezoid?In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;
RU ║ ST
Slope of side RU = Slope of side ST
Slope of RU = (y₂ - y₁)/(x₂ - x₁)
Slope of RU = (1 + 3)/(5 + 3)
Slope of RU = 4/8
Slope of RU = 0.5.
Slope of RS = (y₂ - y₁)/(x₂ - x₁)
Slope of RS = (-9 + 3)/(-4 + 3)
Slope of RS = -6/-1
Slope of RS = 6.
Slope of ST = (y₂ - y₁)/(x₂ - x₁)
Slope of ST = (-2 - 1)/(10 - 5)
Slope of ST = -3/5
Slope of ST = -0.6.
Slope of UT = (y₂ - y₁)/(x₂ - x₁)
Slope of UT = (-2 + 9)/(10 + 4)
Slope of UT = 7/14
Slope of UT = 0.5.
Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.
Question 5.
In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance RT = √[(-2 + 3)² + (10 + 3)²]
Distance RT = √170 units.
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance US = √[(5 + 4)² + (1 + 9)²]
Distance US = √181 units.
Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.
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Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters. How far below sea level is Badwater?
Answer: 282 Feet.
Step-by-step explanation:
given data:
sea level of Death Valley California = 190 feet
Sea level of Badwater America lowest point = 92 Feet lower than Dead valley.
Solution:
if Badwater is 92 feet lower than Death Valley,
Therefore; Badwater is 282 feet above sea level.
If n = 4, all of the following expressions are equivalent except
1
n2
16
1
16
0.2
Answer:
n to the power of -2
Step-by-step explanation:
i counted all the others and this is the only one that doesn't add up to 16. the last answer is -16 not 16 so there you go.
The mean age of teachers at Davis senior high school is 43.6 years. If a hypothesis test is performed, how should you interpret a decision that reject the null hypothesis
Answer:
The interpretation is
There is not sufficient evidence to support the claim that \(\mu = 43.6\)
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 43.6 \ years\)
Generally
The null hypothesis is \(H_o : \mu = 43.6\)
Given from the question that the null hypothesis was rejected then the conclusion will be
There is not sufficient evidence to support the claim that \(\mu = 43.6\)
Round 2.486.3 to The hundred this place.
David can jog 3.5 miles in 75 minutes. What is David's jogging rate per hour?
Answer:
its 3.2 miles per hour
Step-by-step explanation:
because s=d/t meaning speed equals distance divided by time