One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?
Answers
Answer:
She runs 6 miles in total.
Related Questions
=
Given f(x) = 3x2 + 5x + k, and the remainder when f(x) is divided by
x + 3 is 29, then what is the value of k?
Answers
Answer:
the answer is k=2
Step-by-step explanation:
A water tank holds 648 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 864 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
The amount of water in the two tanks will be the same in ________ weeks.
Answers
Answer:
The first tank contains
486 gal - (4 gal/week) t
gal of water after t weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) t
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t
(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal
(3 gal/week) t = 162 gal
t = (162 gal) / (3 gal/week)
t = 54 weeks
Step-by-step explanation:
Suppose that we don't have a formula for g(x) but we know that g(3) = −1 and g'(x) = x2 + 7 for all x.
(a) Use a linear approximation to estimate g(2.95) and g(3.05).
g(2.95) =
g(3.05) =
(b) Are your estimates in part (a) too large or too small? Explain.
A) The slopes of the tangent lines are positive and the tangents are getting steeper, so the tangent lines lie below the curve. Thus, the estimates are too small.
B) The slopes of the tangent lines are positive but the tangents are becoming less steep, so the tangent lines lie below the curve. Thus, the estimates are too small.
C) The slopes of the tangent lines are positive and the tangents are getting steeper, so the tangent lines lie above the curve. Thus, the estimates are too large.
D) The slopes of the tangent lines are positive but the tangents are becoming less steep, so the tangent lines lie above the curve. Thus, the estimates are too large.
Answers
Answer:
g(2.95) ≈ -1.8; g(3.05) ≈ -0.2A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
__
(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
6. Find the perimeter of the figure below
11 in, 13 in, 4 in, 4 in, 7 in,
27 in.
21 in.
29 in
26 in
Answers
Answer:
26 in.
Step-by-step explanation:
» Concepts
The perimeter for a shape is the total distance around it measured in units. The formula to find the perimeter of a trapezoid is a + b + c + d, where a & b are the bases, and c & d are the lengths of the other sides.
» Solution
Adding up all the sides, we get:
\(11+7+4+4\) \(18+4+4\) \(22+4\) \(26\)26 inches
What is the slope of the following line?
Answers
Answer:c, the answer is c
Step-by-step explanation:
A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
Answers
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
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A researcher is studying the growth of bacteria.
He starts with 320 of the bacteria. It grows
continuously at a rate of 4% per hour. How
many bacteria will there be in 17 hours?
(Round to the nearest integer if necessary)
Answers
136000 many bacteria will there be in 17 hours at a rate of 4 percentage per hour.
What is an example of a percentage?
Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.given ,
rate = 4%
bacteria starts growing = 320
rate = 4%
4% = 320
1 = \(\frac{320 * 100}{4} = 8000\)
bacteria will there be in 17 hours = 17 × 8000
= 136000
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How much would you need to deposit in an account now in order to have $2000 in the account in 5 years? Assume the account earns 5% interest compounded monthly.
Answers
I need to deposit $1558.41 to have $2000 in the account in 5 years.
What is compound interest?
The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.
∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ (∵ for monthly interest)
P = Principal
r = rate of interest per month
n = number of months
Given:
r = 5% per month
n = 5 years = 5*12 = 60 months
CI = P (1+5/(12 * 100))⁶⁰
2000 = P(1.0041)⁶⁰
2000 = P(1.2834)
P = 1558.41
Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.
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Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.
Answers
Step-by-step explanation:
Team A time is 1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr
Team B = 1 / ( 1/3 + 1/3) = 1 1/2 hr
Team A wins !
Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
Answers
This statement is true. Political risk is the risk of loss in an investment due to political instability or changes in government policy. Companies can adjust for the potential impact of political risk by adding a political risk premium to their required rate of return. This premium compensates investors for the additional risk associated with the investment due to political factors. The size of the premium will depend on the specific country, the nature of the investment, and the perceived level of political risk. Companies can also take steps to reduce political risk, such as diversifying their operations, investing in political risk insurance, or structuring operations to minimize the value of a subsidiary that might be subject to expropriation.
Note: If p(a) = 0 then (x - a) is a factor of p(x)
given that f(-1), f(-2) are zeros of f(x) find the missing values of these coefficients p, q
f(x) = x³ + px² - qx - 4
After finding the values of the coefficients factor and find the solutions of x1, x2 and x3.
Answers
Answer:
Since f(-1) = 0 and f(-2) = 0, we can set up two equations:
(-1)³ + p(-1)² - q(-1) - 4 = 0
(-2)³ + p(-2)² - q(-2) - 4 = 0
Simplifying each equation, we get:
-1 + p - q - 4 = 0
-8 + 4p - 2q - 4 = 0
Simplifying further, we get:
p - q = 5
2p - q = 6
Solving for p and q, we can add the two equations together to eliminate q:
p - q + 2p - q = 5 + 6
3p - 2q = 11
Then, we can substitute the value of q from the first equation into this equation to solve for p:
3p - 2(q + 5) = 11
3p - 2q - 10 = 11
3p - 2q = 21
3p - 2(5 + p) = 21
p - 10 = 7
p = 17
Substituting this value of p into either equation for q, we get:
q = p - 5 = 12
Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:
-1 | 1 17 -12 -4
|__ -1 -16 28
1 1 12
This gives us the factorization:
f(x) = (x + 1)(x² + x + 12)
To find the solutions, we can use the quadratic formula on the quadratic factor:
x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)
x = (-1 ± sqrt(1 - 48)) / 2
x = (-1 ± sqrt(-47)) / 2
x1 = (-1 + i(sqrt(47))) / 2
x2 = (-1 - i(sqrt(47))) / 2
Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.
Step-by-step explanation:
give me thanks for more! your welcome bud!
Substratum is an open-source network that allows anyone to allocate spare computing resources to support the foundation of the decentralized web. SUB is the cryptocurrency that supports this network. On the 10th of January 2018, the price of SUB was $2.88 and on the 5th of April 2019 the price was $0.02. When rounded to one decimal place, which of the below gives the percentage decrease of the price of SUB from the 10th of Jan 2018 to the 5th of April 2019?
Answers
The percentage decrease will be equal to 99.30 %.
What are percentages?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
SUB is the cryptocurrency that supports this network. On the 10th of January 2018, the price of SUB was $2.88 and on the 5th of April 2019 the price was $0.02The percentage decrease will be calculated as:-
Percentage decrease = \(\dfrac{2.88 - 0.02}{2.88}\)
Percentage decrease = 0.9930 = 99.30%
Therefore the percentage decrease will be equal to 99.30 %.
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square root of the quantity x minus 3 end quantity plus 5 equals x
Answers
Answer:
x =1 if understood it correctly
Step-by-step explanation:
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
0.25
0.15
0.05
0.33
Answers
Answer:
0.05
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
Got it right
I will give brainliest to who answers RIGHT.
Answers
Answer:
RIGHT
Step-by-step explanation:
what fraction is equivalnt to 3/4
Answers
Answer:
6/8
Step-by-step explanation:
Multiply both the denominator and numerator by 2.
Need help fast.
A pool is shaped like a rectangle with a length of 4 times its width w. What is an
expression for the distance between opposite corners of the pool?
No links or files!!!
Answers
w represents width
4w represents length
d represents diagonal
w2 + (4w)2 = d2
w2 + 16w2 = d2
17w2 = d2
±w√17 = d
The diagonal is the width times √17.
what is the first term of an infinitely decreasing G.P whose sum is 16 and the second term is -0.5?
Answers
Answer:
8 + 6√2Step-by-step explanation:
Sum of infinite GP is:
a/(1 - r) = 16 andThe second term is:
ar = -0.5Eliminate r in the system:
a/(1-r) = 16 ⇒ a = 16 - 16r ⇒ 16r = 16 - a ⇒ r = 1 - a/16ar = -0.5 ⇒ r = -0.5/aCompare the two equations and solve for a:
1 - a/16 = -0.5/aMultiply both sides by 16a:
16a - a² = -8a² - 16a = 8 a² - 16a + 64 = 72(a - 8)² = 72a - 8 = ±√72a = 8 ± √72a = 8 + 6√2 a = 8 - 6√2, excluded as it is negative and makes common difference positive and so an increasing functiona = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1
Solve (x+1)2 =13/4 using the square root property
Answers
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
Katie is mixing a new blend of perfume. Her formula calls for 12% lavender solution. She has two bottles. One is 15% and the other is 6%. How many ounces of each does she need to make 18 ounces of 12%?
Answers
Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.
What is the percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100.01
First, determine the total amount of lavender solution needed for the 18 ounces of perfume.
This is 18 ounces x 12% = 2.16 ounces.
Next, determine the amount of lavender solution in the 15% solution. This is 2.16 ounces / 0.15 = 14.4 ounces.
Subtract the amount of lavender solution in the 15% solution from the total amount needed. 2.16 - 14.4 = 0.76 oz
Determine how many ounces of the 6% solution are needed. This is 0.76 oz / 0.06 = 12.67 oz
Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.
Hence, Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.
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Umm i could use so help :)
If you don't mind
i think it's 16+88 but i was wondering what someone else thought.
Answers
Answer: I think your answer is right
Step-by-step explanation:
Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
Answers
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
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Evaluate 6x + 5y for x = 5 and y = 3.
Answers
Answer:
45
Step-by-step explanation:
Plug in the numbers with their variables.
6(5)+5(3)
30+15
45
Hope this helps
Pleaseeeeeeeeeeeee help
Answers
Answer:
Step-by-step explanation:
i cant see good
Answer:
I think it would be commutative property
Step-by-step explanation:
the commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The commutative property only works with addition and multiplication.
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Solve. − 18 + ( − 4 ) =
Answers
Answer:
-22
Step-by-step explanation:
-18 + (-4) = -18 - 4 = -22
A real estate agent counted the number of orces per floor in the building she is selling Number of offices Number of foors 5 1 19 5 41 1 67 1 24 4 81 3 I is the number of offices that a randomly chosen floor has. What is the expected value of X? Write your answer as a decimal.
Answers
In order to calculate the expected value of offices per flor we need to calculate the weighted average of offices per floor. This is done by using the expression below:
\(\begin{gathered} \text{ expected value = }\frac{5\cdot4+19\cdot5+60\cdot4+66\cdot1+67\cdot4+74\cdot4+81\cdot3}{4+5+4+1+4+4+3} \\ \text{expected value = }\frac{20+95+240+66+268+296+243}{25}=\frac{1228}{25}=49.12 \end{gathered}\)The expected values of offices per floor is 49.12
In the table, Pattern A uses the rule "add 12" and Pattern B uses the rule "add 3." Pattern A 0 12 24 36 48 Pattern B 0 3 6 9 12 Which statement is true? Every term in Pattern B is 4 times the corresponding term in Pattern A. Every term in Pattern B is 13 the corresponding term in Pattern A. Every term in Pattern B is 9 less than the corresponding term in Pattern A. Every term in Pattern B is 14 the corresponding term in Pattern A.
Answers
Answer:
D. Every term in Pattern B is 1/4 the corresponding term in Pattern A.
Step-by-step explanation:
Given
\(A:0\ 12\ 24\ 36\ 48\)
\(B: 0\ 3\ 6\ 9\ 12\)
Required
The true statement
Option D is true, and the proof is as follows.
The interpretation of D is:
\(B = \frac{1}{4}A\)
When \(A = 0\)
\(B = \frac{1}{4}A = \frac{1}{4} * 0 = 0\)
When \(A = 12\)
\(B = \frac{1}{4}A = \frac{1}{4} * 12 = 3\)
When \(A = 24\)
\(B = \frac{1}{4}A = \frac{1}{4} * 24 = 6\)
When \(A = 36\)
\(B = \frac{1}{4}A = \frac{1}{4} * 36 = 9\)
When\(A = 48\)
\(B = \frac{1}{4}A = \frac{1}{4} * 48 = 12\)
Compare the calculated values with the given values of B, we have:
\(B: 0\ 3\ 6\ 9\ 12\) --- Calculated
\(B: 0\ 3\ 6\ 9\ 12\) --- Given
Hence, (d) is correct
Answer:
d yw
Step-by-step explanation:
i took the test
help me on this please
Answers
Answer:
14.387
Step-by-step explanation:
!!i’ll give brainlist!!
Tim is taking the path shown to bike to Greg's house. Tim travels an average speed of 15 mi/hr.
Determine how much time it will take Tim to get to Greg's house. (You may use decimals here)
Answers
Answer:
Road:
Distance to Greg's house = 3.2 + 1.7 =
4.9 miles
Time to get to Greg's house =
(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)
Shortcut:
Distance to Greg's house:
\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)
Time to get to Greg's house:
(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)
The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)