Answer:
Proved
Step-by-step explanation:
This question is incomplete. The complete details are:
[tex]v = 13.5m/s[/tex] --- speed of the lorry
[tex]v_2 =50km/h[/tex] --- speed limit on the road
Required
Prove that the lorry is within the speed limit
To do this, we simply convert the speed of the lorry to km/h.
So, we have:
[tex]v = 13.5m/s[/tex]
[tex]1m = 0.001km[/tex]
and
[tex]1s = \frac{1}{3600}h[/tex]
So, the expression becomes:
[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]
[tex]v = \frac{0.0135km}{1/3600h}[/tex]
Rewrite as:
[tex]v = 0.0135km/h * 3600[/tex]
[tex]v = 48.6km/h[/tex]
48.6km/h is less than 50km/h (the speed limit).
Hence, the lorry is within the speed limit.
Gabrielle is 9 years younger than Mikhail. The sum of their ages is 75 . What is Mikhail's age?
Answer: We know Gabrielle is 9 yrs younger than Mikhail hence it will be x-9 yrs. Sum of their ages is 87. Mikhail's age is 48 yrs.
HOPE THIS HELPS
1. The cost of using a telephone in a hotel meeting room is $0.20 per minute. Which of the
following equations represents the total cost, c, in dollars for h hours of phone use?
a c= 0.20(60h)
b c= 0.20 + 60
d =
Answer:
A is correct
Step-by-step explanation:
[tex]\frac{0.20}{1min}[/tex] = [tex]\frac{12.00\\}{1 hour}[/tex]
We can scale the ratio to give the most accurate answer.
0.20 X 60 = 12.00
*pls give brainlist*
Battery life for a hand-held computer is normally distrituted and has a population standard deviation of 7 hours. Suppose you need to estimate a confidence interval estimate at the 95% level of confidence for the mean life of these batteries. Determine the sample size required to have a margin of error of 0.585 hours. Round up to the nearest whole number.
Answer:
A sample size of 551 is required.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of 7 hours.
This means that [tex]\sigma = 7[/tex]
Determine the sample size required to have a margin of error of 0.585 hours.
This is n for which M = 0.585. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.585 = 1.96\frac{7}{\sqrt{n}}[/tex]
[tex]0.585\sqrt{n} = 1.96*7[/tex]
[tex]\sqrt{n} = \frac{1.96*7}{0.585}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*7}{0.585})^2[/tex]
[tex]n = 550.04[/tex]
Rounding up(as for a sample of 550 the margir of error will be a bit above the desired target):
A sample size of 551 is required.
Question
Question: 1-1
AACPS Geometry Standard Assess Q3 20-21 ONLINE
Selected Response: 1 point for answer only.
Examine the figure below
Note: Figure
not drawn to
scale.
The Mars Rover Curiosity is sending signals that it is driving into a crater at an angle of depression of 53º.
If the rover covers a horizontal distance of 110 meters, what vertical distance has it traveled? Round your answer to the nearest thousandth.
O 137.735 meters
82.891 meters
87.850 meters
145.975 meters
Constructed Response: Work and answer will be scored on a 3 point rubric. Please answer in the space provided.
After conducting a few experiments, the rover completes its journey by exiting the crater at a different location from where it entered. The rover travels up and out
Pause
Next
e
Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills
Answer:
[tex]Change = \$8[/tex]
Step-by-step explanation:
Given
[tex]Bills = $20\ bills[/tex] (4)
[tex]Shirt = \$42[/tex]
[tex]Sweater= \$30[/tex]
Required
The change
First, we determine the amount paid,
To do this, multiply the number of bills by the worth of each bill.
So, we have:
[tex]Amount = 4 * \$20[/tex]
[tex]Amount = \$80[/tex]
Next, calculate the worth if item bought
[tex]Items = \$42 + \$30[/tex]
[tex]Items = \$72[/tex]
Subtract the items from the amount to get the change.
[tex]Change = \$80 - \$72[/tex]
[tex]Change = \$8[/tex]
Your answer
PLS SOMEONE HELP AND NO LINKS PLS
Answer:
71
Step-by-step explanation:)
Use the ALEKS calculator to find 35% of 65. Do not round your answer.
Answer:
35 % of 65 is 22.75 %
Step-by-step explanation:
35/100 = 0.35
0.35 x 65 = 22.75
therefore 35% of 65 is 22.75%
Find the value of each trigonometric ratio.
Cos C
Help please
sinx=p/h -----> some people have
cosx=b/h ----> curly brown hair
tanx=p/b -----> through proper brushing
easy way to remember it
we need cos c for this
h= 26 which is always the longest side of the triangle
b= 10
p=24
these both can be switched depending on which angle the question is talking about in this case its angle C so 10 is the base, if it was angle a 24 would have been the base
[tex]cosC=\frac{10}{26} \\[/tex]
18 is 32% of what number w
Answer:
56.25
Step-by-step explanation:
100% of 56.25 is 56.25, therefore 32% of 52.25 equals 18
If f(x) = |x – 2| then find f(-3).
Answer:
5
Step-by-step explanation:
f(x) = |x – 2|
f(3) = |-3 - 2| = |-5| = 5
Help me please??ndjfbd
Answer:
A
Step-by-step explanation:
Becuase the proability of drawing a red marble is 10/20 or 50% and drawing a green marble is 4/20 or 20% and drawing a red marble is 6/20 or 30%
Find the distance between the points (6, -2) and (9,4)
Find the value of D. A 75 B 56 C 47 D 30
Step-by-step explanation:
75
Option B is correct. The measurement of the angle m in the circle given is 56degrees
Geometry deals with the measurement of properties of lines, solids, and angles.
The diagram given in the question is a circle. To get the value of d, we will use one of the circle theorems which states;
The angle at the vertex is equal to half the sum in its intercepted arcs as shown:[tex]75=\frac{1}{2} (m\angle d - 94)[/tex]
Cross multiply
[tex]75 \times 2 = m \angle d - 94\\150=m \angle d +94\\m \angle d = 150 - 94\\m \angle = 56^0[/tex]
Hence the measurement of the angle m is 56degrees
Learn more on circle geometry here: https://brainly.com/question/14064573
If f(x) = 2x+ 1, then f(3) =
i cant really seem to understand how to work it out.
Answer:
f(3) = 7
Step-by-step explanation:
f(x) = 2x + 1
f(3) = 2(3) + 1
f(3) = 6 + 1
Substitute the 3 in for x.
f(3) means that x is equal to 3.
This just means we substitute the value of 3 into the f(x) = 2x+ 1 to get
f(x) = 2(3)+ 1,
f(3) = 2(3)+ 1,
f(3) = 6+ 1,
f(3) = 7
convert 2 miles to centimeters.
express your answer in scientific notation
Answer:
To convert miles to cm, multiply the mile value by 160934.4. For example, to find out how many centimeters there are in 2 miles, multiply 2 by 160934.4, that makes 321868.8 cm in 2 miles.
multiply 2 by 160934.4, which is
321868.8 cm in 2 miles.
How do you change miles into centimeters?
To convert a mile to a centimeter, multiply the length by the conversion ratio. The length in centimeters is equal to the miles multiplied by 160,934.4.
The distance in km is equal to the distance in miles multiplied by 1.609344. Since 1 mile is equal to 1.609344 km, that's the conversion ratio used in the formula.
Learn more about distance conversion here
https://brainly.com/question/2695274
#SPJ2
i’ll give brainlest plzzz
9514 1404 393
Answer:
cube: correctcylinder: delete parabola to make it correctcone: delete rectangle to make it correctStep-by-step explanation:
The selected choices are almost correct.
The curve of intersection of a plane and a cylinder can be a circle or ellipse. It cannot be a parabola.
The only straight lines on a cone are the ones that are the lines through the a.pex revolving around the axis of symmetry. There are no parallel lines, so a rectangular cross section is impossible.
The shape shown on the coordinate plane is rotated about the y-axis.
What is the shape of the solid created by the rotation?
Answer:
Cone, radius = 4, height = 7
Step-by-step explanation:
The point (4, 0) will spin around the y-axis, forming the base of the cone. The point (0, 7) will not move--it's point of the cone.
what the perimeter and area of this shape?
Answer:
P = 55 feet
A = 237 sq feet
Step-by-step explanation:
P = 2(4) + (3.14 x 15)
A = (4 x 15) + (3.14 x 7.5²)
Solve for t. t - 5/ 6 = 5/ 6
Answer:
t = 0
Step-by-step explanation:
Answer:
t = 5/3
Step-by-step explanation:
t - 5/ 6 = 5/ 6
t = 5/6 + 5/6
t = 10/6
t = 5/3
Trey made 104 for 8 hours of work. At the same rate, how many hours would he have to work to make 221?
Answer:17
Step-by-step explanation:
first off find the rate in which he made in an hour.
so 104/8 which is 13. then divide 221 by 13 and u get 17.
17 hours
please answer with explanation
Answer:
5
Step-by-step explanation:
You need to add the bowls and vases. You get 20. Then you divide to get one quarter of then and get 5.
A sports ball has a diameter of 18 cm find the volume of the ball
Answer:
volume= 3054.86cm^3
Step-by-step explanation:
help me..............
Answer:
b
Step-by-step explanation:
Answer: 6.30
Step-by-step explanation:
4 and below let it go, five and above give it a shove
The 5 in the thousandths place tells us that we need to raise the 9 in the hundredths place to 10, so we have to carry the 1 to the tenths place and add 2 + 1
6.295
6.30
Yo please help me!
First image answer choices for all questions
2nd image the questions
Answer:
Step-by-step explanation:
P' (2,4)
Q' (4,4)
M' (2,1)
K' (4,1)
ARITHMETIC SEQUENCES, what comes next after -2/25? I will Mark you as BRAINLIEST pls help
Answer:
26/5
Step-by-step explanation:
an=a1+(n-1)d
d is common difference
so,
2/5- (-2)=12/5
putting values in above formula
=-2+(4-1)(12/5)
=-2+3(12/5)
=-2+(36/5)
=26/5
Read the situation below and determine which is the independent and dependent variable.
•NO LINKS,DOCS,SLIDES,DRIVES.ETC
•50POINTS
•WILL MARK BRAINLYEST
Answer:
independent: popcorn bags
dependent: total cost
Answer:
Amount of popcorn bags bought independent
Total cost of all you bought is dependent
Pls Need Help! Thank you
Answer:
y = [tex](\frac{1}{2})^{-x} +4[/tex]
Step-by-step explanation:
In order to achieve the following transformation we need to do the following. To get the graph to be reflected accross the y-axis we need to change the sign of the x variable. Since the x-variable in this scenario is a positive we would change it to a negative. Next, we want to shift the graph 4 units up. To do this we simply need to add 4 to the entire equation. This would result in the following equation.
y = [tex](\frac{1}{2})^{-x} +4[/tex]
Both of these graphs can be seen in the image below.
Can some person help me??????????????
Answer:
1.2d
198 donors
Step-by-step explanation:
d+0.2d=1.2d
20% more than last year= d+0.2d=1.2d
d=165
1.2(165)=198
Yes, you do get the same number with each of the expression because they are both the same exact things, except one of them has not combined like terms.
y=x^2+14x+3
what’s (x,y)
Answer:
(-7, -46)
Step-by-step explanation:
Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She selects a random sample from each group. The mean number of hours per week that people in southern states spent outside is 18.6, and the mean number of hours per week that people in northern states spent outside is 14.4. A 99 percent confidence interval to estimate the difference in population means (southern minus northern) is (0.4,8.0).
Answer: Hello your question is incomplete below is the missing part
Which of the following statements about Hannah’s claim is supported by the interval?
A) Hannah is likely to be incorrect because the difference in the sample means was 18.6−14.4=4.218.6−14.4=4.2 hours.
B) Hannah is likely to be incorrect because 9 is not contained in the interval.
C)The probability that Hannah is correct is 0.99 because 9 is not contained in the interval.
D)The probability that Hannah is correct is 0.01 because 9 is not contained in the interval.
E)Hannah is likely to be correct because the difference in the sample means (18.6−14.4=4.2)(18.6−14.4=4.2) is contained in the interval.
Answer : Hannah is likely to be incorrect because 9 is not contained in the interval. ( B )
Step-by-step explanation:
The statement that is supported by the interval in Hannah's claim is that
Hannah is likely to be incorrect because 9 is not contained in the interval.
