30 days to run at least 120 miles
120/30 = 4
let x = number of days
he needs to run at least 4 miles per day
so x≥4 ( do any of your choices look like this?)
Is the number x positive? (1) on the number line, 0 is closer to x – 1 than to x. (2) on the number line, 0 is closer to x than to x + 1?
I hope that helps!
Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate?
1 mile 1,609 meters
Alina swims about 0.7 miles per hour faster than Talia.
Talia swims about 0.7 miles per hour faster than Alina.
Alina swims about 1.5 miles per hour faster than Talia.
Talia swims about 1.5 miles per hour faster than Alina. pls help
Answer:
Talia swims about 1.5 miles per hour faster than Alina.
Step-by-step explanation:
Since, 1 miles = 1609 meter and 1 hour = 60 seconds,
⇒ [tex]\text{ 1 miles per hour } = \frac{1609}{3600}\text{ meter per seconds}[/tex]
⇒ [tex]\text{ 1 meter per seconds } = \frac{3600}{1609}\text{ miles per hours}[/tex]
Here, The speed of Alina = 2.5 miles per hour = 2.5 × 1609/3600
[tex]=\frac{4022.5}{3600} \text{ meter per seconds }[/tex]
[tex]=1.11736111\text{ meter per seconds}[/tex]
And, the speed of Talia = 1.8 meter per second,
Since 1.8 > 1.11736111
⇒ Talia swims faster than Alina.
And, the difference between their speeds = 1.8 - 1.11736111 = 0.68263889 meter per seconds
= 0.68263889× 3600/1609 miles per hour
= 1.52734618 miles per hour ≈ 1.5 miles per hour ,
⇒ Fourth option is correct.
What is the midpoint of the line segment whose endpoint are (-8,12) and (-13,-2)
A car dealership increased the price of a certain car by 13% . The original price was $41,200
Simplify the expression 3bx4b
How much would $400 invested at 9% interest compounded continuously be worth after 3 years? Rounded by the nearest cent
1)Solve G(x) for the given domain.
G(x) = 3x 2 - 2x - 1
G(6) =
a)287
b)95
c)23
2)Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution.
F(x) = x 2 + 2
F(x2) =
3)Solve F(x) for the given domain.
F(x) = x 2 + 3x - 2
F(-1) =
a)-4
b)-6
c)2
4)Solve F(x) for the given domain.
F(x) = x 2 + 3x - 2
F(3) =
a)13
b)16
c)40
Answer:
1-287
2- x^4 + 2
3 -6
4 16
Step-by-step explanation:
Answer:
1) is 95 G(6) = 3(6) ^2 - 2(6) - 1
2) is F(x²) = x⁴ + 2
3)is -4 f(-1)=-1^2+3(-1)-2
4) is 16 F(3) = (3) 2 + 3(3) - 2
Step-by-step explanation:
2) F(x) = x 2 + 2
F(x2) = F(x^2) = (x^2)^ 2 + 2x^4+2
= f(x^2)=x^4+2
Simplify 7 - (-4) + 3(-6).
it would become 11 - 18 which would equal -7
11. What other information do you need to prove the triangles congruent using the AAS Congruence Postulate?
BAC=DAC
AV=AD
AB=AD
CBA=CDA
From the diagram, we are given that triangle ABC and triangle ADC shares the same side AC, so it means both triangles have one congruent side.
We are also given that angle BAC and angle DAC are equal.
If we want to prove the triangles congruent using Angle-Angle-Side congruent postulate, we need to see one angle in each triangle that is congruent. We will need the information either: ACB = ACD or ABC = ADC
Correct answer: fourth option
Show all work please!!!!!!
1. PB (there is a line on top) is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint?
2. The midpoint of CD (there is a line on top) is E(-1, 0). One endpoint is C(5,2). What are the coordinates of the other endpoint?
3. Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7, -7).
The number of minutes you can talk on a cell phone decreases as the phone's battery charge decreases.
causation
correlation
association
no relationship
The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation. Correlation refers to a statistical relationship between two variables, where as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship.
Explanation:The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation.
Correlation refers to a statistical relationship between two variables. In this case, as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship, where one variable directly causes the change in the other.
For example, if the battery is fully charged, you may be able to talk on the phone for several hours. However, as the battery charge decreases, your talk time will gradually decrease until the battery is completely drained and you can no longer use the phone.
The number of minutes you can talk on a cell phone decreases as the battery charge decreases due to a causation relationship.
The correct answer is causation. This is because there is a direct cause-and-effect relationship between the phone's battery charge and the number of minutes you can talk on the phone. As the battery charge decreases, it limits the phone's ability to function, thereby reducing the available talk time.
For example, if your phone starts with 100% battery and allows for 240 minutes of talk time, a drop to 50% battery might only allow for 120 minutes of talk time as the battery depletes. This reduction in talk time is a direct result of the decreasing battery charge, illustrating a causal relationship.
It's important to differentiate this from correlation or association, which would imply a relationship without direct causation. Here, the reduction in battery charge directly causes the reduction in talk time, proving it to be a cause-and-effect relationship.
On Monday, three hundred twenty students went on a trip to the zoo. All seven buses were filled and five students had to travel in cars. How many students were in each bus?
Name the property shown by the statement.
3(x + 7) = 3x + 21
Find an equation for the plane that is perpendicular to v = (1, 1, 1) and passes through (1, 0, 0).
Final answer:
The equation for the plane that is perpendicular to the vector v = (1, 1, 1) and passes through the point (1, 0, 0) is x + y + z = 1.
Explanation:
To find an equation for the plane that is perpendicular to the vector v = (1, 1, 1) and passes through the point (1, 0, 0), we need to use the normal vector v as the coefficient of the variables in the plane equation.
Step 1: The vector v is perpendicular to the plane, so its components are the coefficients of x, y, and z in the plane equation. Since v has components (1, 1, 1), the plane equation can be written as x - y - z = D, where D is a constant.
Step 2: The plane passes through the point (1, 0, 0). Substituting these coordinates into the plane equation allows us to find D.
Substituting, we get 1(1) + 1(0) + 1(0) = D. Hence, D = 1. Therefore, the equation of the plane is x + y + z = 1.
A boy found a bicycle lock for which the combination was unknown. the correct combination is a four-digit number,
A garden table and a bench cost $1025 combined. The garden table costs $75 more than the bench. What is the cost of the bench?
Sally can paint a room in 5 hours while it takes steve 9 hours to paint the same room. how long would it take them to paint the room if they worked together
Final answer:
Sally and Steve will take approximately 3.21 hours to paint a room together. This is calculated by adding their individual rates of painting and then finding the reciprocal of their combined rate.
Explanation:
To determine how long it would take Sally and Steve to paint a room together, we need to calculate their combined work rate. Sally's rate of painting is 1 room per 5 hours, while Steve's rate is 1 room per 9 hours. Their combined rate is the sum of their individual rates. This can be expressed as:
Combined rate = Sally's rate + Steve's rate = (1 room / 5 hours) + (1 room / 9 hours)
The least common multiple (LCM) of 5 and 9 is 45, so to add these rates together, we convert them into a common denominator:
Combined rate = (9 rooms / 45 hours) + (5 rooms / 45 hours) = (9+5) rooms / 45 hours = 14 rooms / 45 hours
To find out how long it takes them to paint one room together, we take the reciprocal of their combined rate:
Time to paint one room = 1 / (Combined rate) = 45 hours / 14 rooms
Therefore, rounding to two decimal places, Sally and Steve would take approximately 3.21 hours to paint the room together.
Based on the box-and-whisker plot shown below, match each term with the correct value.
(1)Median
a0
(2)Range
a1
(3)25th percentile
a2
(4)75th percentile
a3
(5)Inter-quartile Range
a4
Median will be 18, Range will be 15 to 21, 25th percentile will be 15 to 17, 75th percentile 15 to 20, and Inter-quartile Range will be 17 to 20.
What is a box-and-whisker plot?Solid lines on either outside of the rectangle represent the minimum and maximum interquartile range.
Based on the box-and-whisker plot shown below.
1) Median will be 18.
2) Range will be 15 to 21.
3) 25th percentile will be 15 to 17.
4) 75th percentile 15 to 20.
5) Inter-quartile Range will be 17 to 20.
More about the box-and-whisker plot link is given below.
https://brainly.com/question/11859288
#SPJ2
Select the correct answer.
Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries she buys there. How much must she buy before her savings equal her membership fee?
$10.00
$50.00
$100.00
$1,000.00
In the equation b= a-2, which is the independent variable and which is the dependent variable ? Explain???? need help i don't understand
Which postulate or theorem, if any, could be used to prove the triangles congruent? If not
enough information is given, write not enough information.
Answer: on d. it's, you
weren;t given enough information
Step-by-step explanation:
ur welcome.
For a percentage increase of 36%, state the multiplier
How many lines does wide ruled paper have?
Two candidates running for the same office received a total of 1,926 votes. If the winning candidate had 410 more votes than the other candidate, how many votes did the winner receive?
The number of votes received by winner is: 1168
Step-by-step explanation:Let the number of vote that is received by winning candidate be: a
and the number of votes received by other candidate be: b
It is given that:
Two candidates running for the same office received a total of 1,926 votes.
i.e.
[tex]a+b=1926--------------(1)[/tex]
and
The winning candidate had 410 more votes than the other candidate.
This means that:
[tex]a-b=410--------------(2)[/tex]
Now on solving the equation by the method of elimination .
i.e. on adding both the equation we have:
[tex]2a=1926+410\\\\i.e.\\\\2a=2336\\\\i.e.\\\\a=1168[/tex]
Now on putting the value of a in equation (1) we get:
[tex]1168+b=1926\\\\i.e.\\\\b=1926-1168\\\\i.e.\\\\b=758[/tex]
Hence, the answer is: 1168
really need a answer and explanation for this
You are asked to determine the perimeter of the cover of your textbook. you measure the length as 48.28 cm and the width as 24.83 cm. how many significant figures should you report for the perimeter?
Step-by-step explanation:
The length of the textbook, l = 48.28 cm
The breadth of the textbook, b = 24.83 cm
The shape of the textbook is a rectangle. The perimeter is equal to the sum of all sides. Mathematically, it is given by :
[tex]p=2(l+b)[/tex]
[tex]p=2\times (48.28+24.83)[/tex]
p = 146.22 cm
So, the perimeter of the textbook is 146.22 cm. There are 5 significant figures in this number since non zero digits are always significant. Hence, this is the required solution.
what is (4−5y)−2(3.5y−8)?
Thank you!!
Each of the 212 pages in the largest fashion catalog measured 1.2m by 1.9m. whats was the perimeter of a page what was the area
Final answer:
To find the perimeter of the catalog page, we add the length and width and multiply by 2, resulting in 6.2 meters. For the area, we multiply the length by the width, resulting in 2.28 square meters.
Explanation:
The question asks for the perimeter and area of a page from a fashion catalog with dimensions of 1.2 meters by 1.9 meters. To calculate the perimeter of a rectangle, the formula is 2(length + width), and to calculate the area, the formula is length × width.
For the perimeter:
2(1.2m + 1.9m) = 2(3.1m) = 6.2 meters.
For the area:
1.2m × 1.9m = 2.28 square meters.
The density of an object can be calculated by dividing the object's mass by its volume. A rectangular prism has a density of 15g/cm3. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm. What is the height of the object?
density = mass/ volume
volume = mass/ density
volume = 5625 / 15 = 375 cm^3
volume = l x w x h
375 = 5 * 3 * X
375 = 15
x = 375/15 = 25
height = 25 cm
The height of the object is 25 cm and this can be determined by using the formula of density and volume.
Given :
The density of an object can be calculated by dividing the object's mass by its volume.A rectangular prism has a density of 15g/[tex]\rm cm^3[/tex]. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm.The height of the object can be determined by using the formula of density. The formula of density is given by:
[tex]\rm d = \dfrac{m}{V}[/tex]
where d is the density, m is the mass, and V is the volume.
Now, substitute the known terms in the above formula.
[tex]\rm V = \dfrac{5625}{15}= 375\;cm^3[/tex]
Now, the volume of an object is given by:
[tex]\rm V = l \times w\times b[/tex]
Now, substitute the known terms in the above formula.
375 = 5 [tex]\times[/tex] 3 [tex]\times[/tex] h
h = 25 cm
For more information, refer to the link given below:
https://brainly.com/question/6034174
An athlete trains on a circular track of radius 40 m and jogs 10 laps each day, 5 days a week. How far does he jog each week? Round the answer to the nearest whole number of metres.