Alex drove from home to her office and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 50 km/h. The average speed on the way back was 30 km/h.
Let t be the time it took to go to the office from home
The distance Alex drove from home to her office and back is...
Answers
Answer:
The total distance is 220km. Explanation is in the picture. Pls give brainliest. :D
Related Questions
10 0breros construyen un complejo 336 días, ¿cuantos días les tomaría hacer el mismo complejo a 15 obreros?
Answers
Usando proporciones, se encuentra que 15 obreros hacerían el mismo complejo en 24 días.
Esta pregunta se resuelve por proporciones, usando una regla de tres. Cuanto mayor lo número de obreros, menor el tiempo, o sea, las medidas son inversamente proporcionales, lo que implica que la multiplicación es en línea.10 obreros toman 336 dias. ¿Cual el tiempo necessário para 15 obreros?La regla de três es:
10 obreros - 336 días
15 obreros - x días
Aplicando multiplicación en línea:
[tex]15x = 336(10)[/tex]
[tex]x = \frac{336(10)}{15}[/tex]
[tex]x = 24[/tex]
15 obreros hacerían el mismo complejo en 24 días.
Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636
On the set of axes below. solve the following
system of equations graphically. Statc the
coordinates of the solution.
y=4x-1
2x + y = 5
Answers
Answer:
i think x=1 y=3 (1,3)
Step-by-step explanation:
2x+4x-1 = 5
x = 1
y = 4x-1
y = 4(1)-1
y = 4-1
y = 3
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision
Required:
a. For a test with a level of significance of 0.10, compute the critical value; set up the appropriate hypotheses and the calculate the p-value of the test
b. Will the null hypothesis will be rejected with a level of significance of 0.10? Explain why or why not?
Answers
Using the z-distribution, we have that:
a)
The hypothesis test is:
[tex]H_0: \mu = 7.4[/tex][tex]H_1: \mu < 7.4[/tex]The p-value is of 0.0668.
The critical value is [tex]z^{\ast} = -1.28[/tex]
b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
Item a:
At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, hence, the z-distribution is used.
The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
Using a z-distribution calculator, the p-value is of 0.0668.
Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].
Item b:
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918
The digit in the hundreds place is 4 less then 5.
Answers
Yes?? i dont understand the question that much
Step-by-step explanation:
Porfa ayúdenme a resolver lo de la ficha, plis.
Answers
Answer:
Step-by-step explanation:
Portf?
Plz help with this question.
Answers
Answer:
[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]
Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.
[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]
hope it helps youAnswer:
look below :)
Step-by-step explanation:
Ok so the formula for the area of a triangle is (l x w) / 2
and the formula for the area of a square is l x w.
The area of the square is 2 x 2 = 4.
so the area of the square = 4cm²
the area of the triangle is 2 x 4 = 8.
8 / 2 = 4
so the area of the triangle is also 4cm².
Hope this helped!
Find the slope-intercept form of the line that satisfies the given conditions.
Through A(−7, 5) and B(6, 11)
Answers
Answer:
[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]
Step-by-step explanation:
(x1, y1) = (-7, 5)
(x2, y2) = (6, 11)
The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I marked the points above as points 1 and 2, so you can plug those numbers into the formula:
[tex]m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}[/tex]
That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.
[tex]y=mx+b[/tex]
Plug the slope and any point of your choice into the equation. I'll use point b:
[tex]11=(\frac{6}{13})6+b[/tex]
Now, solve for b:
[tex]11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}[/tex]
They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:
[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]
You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:
[tex]y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5[/tex]
That works out.
Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.
Answers
The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include
Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.Dilations - Which are transformations which change the size of the object and thus its coordinates.The operations performed on the triangle are the following
A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.
So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
Learn more about transformations here:
https://brainly.com/question/17311824
HELP!! I desperately need help!! I would appreciate if you could show work please!!!
Answers
Answer:
a) 137.9°
b) 12.2° (please refer to explanation because I didn't know what to round to)
Step-by-step explanation:
1a) A supplementary angle will equal 180°, so you must subtract 42.1 from 180
180-42.1 = 137.9
1b) A complementary angle will equal 90°, so you need to use the expression given and add an x for the other part of 90°
8x-20+x = 90
9x-20=90
9x=110
x=12.2
3x^4 + 9x^3 - 5x^2 - 14x - 7 divided by x + 3 using synthetic division
Answers
Answer:
[tex]3x^3 - 5x + 1 - \frac{10}{x + 3}[/tex]
or
3x^3 - 5x + 1
Remainder: -10
Step-by-step explanation:
Please see attached image for full explanation!
1.) Write the coefficient of each term.
2.) Beginning with 3, multiply by -3, or x + 3 = 0 (the divisor.)
3.) Add the product to the next coefficient and repeat until you get to the last number, -7.
4.) You should have the numbers 3, 0, -5, 1, and -10.
5.) Rewrite this quotient as an equation:
3x^3 - 5x + 1
Note that the highest power is 3, one less than that of the highest power in the original equation.
6.) Don't forget the remainder!
You can include this in the equation or not, depending on the instructions.
Therefore, the final answer is 3x^3 - 5x + 1 - 10/x+3 or 3x^3 - 5x + 1 R: -10.
Make y the subject of the formula
5y - 4h = 18
Answers
Answer:
[tex]\displaystyle \large{y=\frac{18+4h}{5} }\\[/tex]
Alternatively, you can use [tex]\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\[/tex] as an answer.
Step-by-step explanation:
To make y as the subject of equation, we have to find a way to isolate y-variable.
First, add 4h both sides of equation which we obtain:
[tex]\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}[/tex]
Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.
[tex]\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }[/tex]
Thus the answer is y = (18+4h)/5
Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.
[tex]\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\[/tex]
Either one of these solutions work.
_______________
Let me know in the comment if you have any questions.
3+1=5
false or true
brailest and points
Answers
Answer:
FALSE
Step-by-step explanation:
PLZ MARK BRAINLIOEST
What are the equations for the asymptotes of this hyperbola?
Y^2/36 - x^2/121=1
Answers
Answer:
[tex]\huge{\mathfrak{Solution}}[/tex]
[tex]\huge{\bold{ \frac{ {y}^{2} }{36} - \frac{ {x}^{2} }{121} = 1 }}[/tex]
[tex]\huge{\bold{ \frac{(y - k) {}^{2} }{ {a}^{2} } - \frac{(x - h) {}^{2} }{ {b}^{2} } = 1 \: is \: the \: standard \: equation \: with \: center \: (h ,k),semi-axis \: a \: and \: semi-conjugate \: -axis \: b.}}[/tex]
[tex]\huge\boxed{\mathfrak{We \: get,}}[/tex]
[tex](h,k) = (0,0),a = 6,b = 11[/tex]
[tex]For \: hyperbola \: assymtoms \: are \: y = + \frac{a}{b} (x - h) + k[/tex]
[tex]Therefore,y = \frac{6}{11} (x - 0) + 0,y = - \frac{6}{11} (x - 0) + 0[/tex]
[tex]\large\boxed{\bold{y = \frac{6x}{11},y = - \frac{6x}{11} . }}[/tex]
If y²/36 - x²/121 = 1, the asymptotes are y = (36/121) x and y = -(36/121) x.
To find the equations for the asymptotes of the hyperbola represented by the equation y²/36 - x²/121 = 1, we can compare it with the standard form of a hyperbola:
(y - k)² / a² - (x - h)² / b² = 1
where (h, k) represents the center of the hyperbola.
In the given equation, we have y²/36 - x²/121 = 1. To put it in standard form, we need to divide both sides by 1 (which is essentially dividing by 1 on the right side):
y²/36 - x²/121 = 1 / 1
Now, we can see that a² = 36 and b² = 121.
To find the equations of the asymptotes, we use the center (h, k) and the values of a and b. The asymptotes of a hyperbola have equations of the form:
y = k ± (a/b)(x - h)
In this case, the center (h, k) is (0, 0), a² = 36, and b² = 121:
The equations for the asymptotes are:
y = 0 ± (36/121) x
To learn more about asymptotes click on,
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pi(r^2)(12)=324 , how do you find the radius of this equation?
Answers
Answer:
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
Step-by-step explanation:
[tex]\pi r^{2} (12)=324[/tex]
[tex]\pi r^{2} =27[/tex]
[tex]r^{2} =\frac{27}{\pi }[/tex]
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
Determine whether each sequence below is arithmetic, geometric, or neither. Provide support for you conclusions. sequence1: 1/2, 7/6, 11/6, 5/2
Answers
The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence
The given sequence is:
[tex]\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........[/tex]
A sequence is an arithmetic sequence if it has a common difference d
In the given sequence:
[tex]T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}[/tex]
[tex]T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}[/tex]
Since the sequence has a common difference of 2/3, it is an arithmetic sequence
Learn more on sequence here: https://brainly.com/question/25935727
The price of 40L petrol is £24, find the price of each litre.
Answers
Answer:
I will help you with this
8(4p + 3) please and thanks
Answers
Answer:
32p + 24
Step-by-step explanation:
Distribute the 8 to each term
8 * 4p = 32p
8 * 3 = 24
Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20.
Answers
if 6 24 36 are in proportion,find the second proportional.
Answers
9
Step-by-step explanation:
let 2nd proportion be x
6:x=24:36
6÷x=24÷36
x=6×36÷24
x=9
original price: $24.50
discount:30%
tax:2%
Answers
Answer -
Discount -
24.50 x 30/100
24.5 x 0.3 = 7.35 saved
24.5 - 7.35 = 17.15
Discount you saved $7.35 , which brings you price 17.15
tax -
17.15 + 0.34 = 17.49
With taxes you pay 17.49
HOPE THIS HELPS :)
Question 7 (Essay Worth 10 points)
(03.08A MC)
The number line shows the distance, in meters, of two divers, A and B, from a shipwreck located at point X:
1.5
B
Х
-2.5
A
Hot
-3 -2
+
-1
0
1 2 3
Distance (m)
Part A: Write an expression using subtraction to find the distance between the two divers. (5 points)
Part B: Show your work and solve for the distance using additive inverses. (5 points)
Answers
Answer:
45
Step-by-step explanation:
Find the measure of y.
• 110°
• 100°
• 103°
• 93°
Answers
Answer:
110°
Step-by-step explanation:
Alternate angles are equal.
Hope this helps and have a good day!
Measure of y is [tex]103^0[/tex]
What is quadrilateral ?A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. If ABCD is a quadrilateral then angles at the vertices are ∠A, ∠B, ∠C and ∠D. The sides of a quadrilateral are AB, BC, CD and DA.
110 + Z =180 ......................(Linear pair)
So, the measurement of angle z is 70.
Since, Sum of all interior angles of quadrilateral = 360°.
then...
Y = 360 - (100 + 87 + 70)
Y = 360 - 257
= 103
Hence, measure of y is [tex]103^0[/tex]
To learn more about the quadrilateral here:
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Estimate and solve 2,352 ÷ 4 =
Answers
Answer
588 is the exact answer. Which is about 590 or 600.
Step-by-step explanation:
What is the value of e?
Answers
e equals 129
The answer is 129
SOMEONE PLS GIVE ME THE ANSWER AND NO FREAKING LINKS.
Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.
Answers
Answer:
8.9443
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (-9 - -1) = -8
(y2-y1) = (2 - -2) = 4
Square the results and sum them up:
(-8)2 + (4)2 = 64 + 16 = 80
Now Find the square root and that's your result:
Exact solution: √80 = 4√5
Approximate solution: 8.9443
c(n)=-6+5(n-1) Find the 8th term in the sequence
Answers
Answer:
-7
Step-by-step explanation:
c(8)=-6+5x7
c(8)=-1x7
c(8)=-7
Chords AB and CD of a circle intersect.
. AB is divided into two line segments measuring 4 cm and 18 cm.
• CD is divided into two line segments, with the length of one segment twice the length of the other.
What is the length of CD?
Answers
Step-by-step explanation:
line CD, WE and BD are half of the length of CD
how old are you android phone is not
Answers
Answer:
I am 14 years old
Step-by-step explanation:
A survey of 2,541 American households discovered that 64% of the households own one car.
what is the population?
what is the sample?
Answers
Answer:
See below
Step-by-step explanation:
The population is all American households
The sample is 2,541 of those American households
Please help me:( The volume of the above solid is
O A. 208.87 cm3
O B. 216T1 cm2
O C. 1807 cm3
O D. 2161 cm3
Answers
Answer:
the volume of cylinder = πr²h
h = 5cm
r = 6cm
volume = π × 6² × 5
= π × 6 × 6 × 5
= 180πcm³