Sally can run 5 km in 25 minutes. At the same rat of speed, how far can she run in 2 hours and five minutes?
Answer:
25 km
Step-by-step explanation:
\(\frac{5}{25} :\frac{y}{125}\)
y · 25 = 5 · 125
25y = 625
25y ÷ 25 = 625 ÷ 25
y = 25
Shaun climbed Mount Rushmore at a unit rate
of 1,250 meters per minute. How long did it take
him to climb 75,000 meters?
Answer:
no idea
Step-by-step explanation:
What is the sale price of a bottle of olive oil originally priced at $6?
Answer: While there are plenty of quality options on the shelves that fall between the $15 and $30 range, “trendy” olive oils like Brightland and Fat Gold cost more, at $37 and $44.75, respectively. Some even have price tags in the three digits.
Step-by-step explanation:
What is the value of x
Answer:
12Step-by-step explanation:
We know the hypotenuse and legs of 45° right triangle have ratio:
h ÷ l = √2 ÷ 1Substitute given values and find x:
x ÷ 6√2 = √2x = 6√2 × √2 x = 12Range of g(x)=3 square root of x
The range of the function g(x) is given as follows:
[0, ∞).
How to obtain the domain and range of a function?The domain of a function is obtained as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is obtained as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:
[0, ∞).
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for the median age to rise, is the actual number of children less in 1991 than it was in 1980? why or why not? (enter your percentages as a whole number.) not necessarily but that could be the case. in 1980, % of the population was 30 years old or less. in 1991, % of the population was 33.1 years old or less. on july 1, 1980, the population was about 227.23 million. on july 1, 1991, the population was about 252.98 million. since half of the population in 1991 was larger than half of the population in 1980 and the median age in 1991 was greater than the median age in 1980, there could have been fewer children in 1991.
However, it is equally plausible that the number of children in 1991 was not necessarily less than it was in 1980.
What is number?Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
In conclusion, the median age of the United States population had risen between 1980 and 1991, but this does not necessarily mean that the actual number of children was less in 1991 than it was in 1980. The population of the United States had grown by 25.75 million in the 11 years between 1980 and 1991, and the percentage of the population that was 30 years old or less had increased, indicating that there could have been a large number of children.
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The difference of the ages of a sister and her younger brother is 6 years. The
numerical value of the product of their ages is equal 4 times the sum of their
Find the present ages of the sister and her brother.
Answer:
bother = 6 years ; sister = 12 years
Step-by-step explanation:
s = sister
b = brother
s - b = 6
s * b = 4(s+b)
s = b + 6
b(b+6) = 4(b+6 + b)
b² + 6b = 4(2b + 6)
b² + 6b = 8b + 24
b² + 6b - 8b - 24 = 0
b² - 2b - 24 = 0
(b-6)(b+4) = 0
b = 6
b = -4 (impossible because an age can’t be negative)
s = 6 + 6
s = 12
There is 20% of fat in a 280g 32 piece chocolate bar. How much fat is in 4 pieces?
Use the parabola tool to graph the quadratic function y=-1? - 2.0 +8
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
see explanation
Step-by-step explanation:
I don't have graphing facilities but can give you the vertex and 1 other point.
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - \(\frac{b}{2a}\)
y = - x² - 2x + 8 ← is in standard form
with a = - 1 and b = - 2 , then
x = - \(\frac{-2}{-2}\) = - 1
Substitute x = - 1 into the equation for corresponding value of y
y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9
vertex = (- 1, 9 )
To obtain another point substitute any value for x into the equation
x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph
x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0 then (2, 0 ) is a point on the graph
Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
Simplify the fraction 61/82 as much as possible .
Answer:
61/82
Step-by-step explanation:
The answer is already reduced.
Answer:
61/82 its as low as possible
Step-by-step explanation:
I got it right
The real solutions to the equation 3x5 + 25x4 + 26x3 – 82x2 + 76x = 48 are shown on the graph. What are the nonreal solutions?
StartFraction 1 + i StartRoot 5 EndRoot Over 3 EndFraction, StartFraction 1 minus i StartRoot 5 EndRoot Over 3 EndFraction.
StartFraction negative 1 + i StartRoot 5 EndRoot Over 3 EndFraction, StartFraction negative 1 minus i StartRoot 5 EndRoot Over 3 EndFraction.
StartFraction negative 1 + StartRoot 5 EndRoot Over 3 EndFraction, StartFraction negative 1 minus StartRoot 5 EndRoot Over 3 EndFraction.
StartFraction 1 + StartRoot 5 EndRoot Over 3 EndFraction, StartFraction 1 minus StartRoot 5 EndRoot Over 3 EndFraction.
The non-real solutions according to the equation is (1 + √5 i)/3 and (1 - √5 i)/3.
What is Factor theorem?A polynomial can be factored, and its roots can be discovered using the factor theorem. The polynomial residual theorem is indeed a special instance of this one.
A polynomial f(x) has a factor (x-a), as was noted in the beginning, if and only if f(a) = 0.
As per the given equation in the question,
3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48
The function can be written as:
f(x) = g(x).h(x) (i)
The real solutions from the graph is,
x₁ = -6, x₂ = -4 and x₃ = 1.
So,
g(x) = (x + 6) × (x + 4) × (x - 1)
g(x) = (x² + 10x + 24) × (x - 1)
g(x) = x³ + 9x² + 14x - 24.
Now, substitute the values in (i)
3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48 = (x³ + 9x² + 14x - 24) × (ax² + bx + c)
Therefore,
ax⁵ = 3⁵
a = 3.
-24c = -48
c = 2.
-24(bx) + 14(cx) = 76x
-24b + 28 = 76
b = -2.
The equation for non-real solution:
h(x) = 3x² - 2x + 2.
Δ = b² - 4ac = (-2)² - 4(3)(2) = -20
x₁ = (2 + √20)/6 = (1 + √5 i)/3
x₂ = (2 - √20)/6 = (1 - √5 i)/3
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How can we find that when a system of two equations, two unknowns has Infinite Solutions. I want a solution with matrix. I know this method (which is not with matrix):
Step-by-step explanation:
To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.
In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.
3 x 12b = 180 Find the value of b, then add.
Anwser:
180/3=60
60/12=5
3x(12x5)=180
b=5
Step-by-step explanation:
Every week, Michelle is paid d dollars for having worked h hours. Which statement describes the relationship between d and h?
A. d is the dependent variable because h affects the number of dollars Michelle earns.
B. d is the dependent variable because d affects the number of hours Michelle works.
C. d is the independent variable because h affects the number of dollars Michelle earns.
D. d is the independent variable because d affects the number of hours Michelle works.
Answer:
A
Step-by-step explanation:
h determines how much d she will get and hence B and D are wrong
independent variable means the cause
dependent variable means the effect
1. If a circle has a diameter of 18 inches, what is the radius? *
9 feet
9 inches
36 feet
36 inches
Answer:
9 inches
Step-by-step explanation:
A circle has a diameter of 18 inches
The radius of the circle can be calculated as follows
Radius= diameter/2
= 18/2
= 9 inches
Hence the radius of the circle is 9 inches
simplify the following numerical expression as much as possible. write your answer in exponential form. let a and b be positive integers. 23a x 23b
The simplified expression in exponential form would be 23^(a + b).
To simplify the numerical expression 23a x 23b, we can combine the like terms.
Step 1: Simplify 23a and 23b individually.
The expression 23a means multiplying 23 by a, and 23b means multiplying 23 by b. We cannot simplify them further because we do not have specific values for a and b.
Step 2: Combine the simplified terms.
When we multiply 23a by 23b, we multiply the coefficients (23 x 23) and the variables (a x b). Therefore, the simplified expression is:
(23 x 23) x (a x b)
Step 3: Calculate the coefficient and write the answer in exponential form.
The coefficient (23 x 23) is equal to 529. In exponential form, we can write it as 23^2. So the final simplified expression is:
23^2 x (a x b)
In summary, the simplified numerical expression 23a x 23b can be written as 23^2 x (a x b) in exponential form.
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To determine the number of rams in a conservation area, a researcher catches and marks 103 rams. Then the researcher releases them. Later, 89 rams are caught and it is found that 21 of them are tagged. About how many rams are in the conservation area?
There are about rams in the conservation area.
(Round your answer to the nearest whole number as needed.)
Answer:
19 the explanation is 19 46
Which of the following whole numbers are perfect squares? (Please select ALL correct answers for full credit).
Answer:
81, 100, 25, 4
Step-by-step explanation:
The square root of each of these numbers is whole
Answer:
these are the perfect squares
Step-by-step explanation:
Help me answer this math question
The equation representing the total number of students in the class: b+g=36
The equation representing the total number of boys in the class: b=2g-3
Sentence representing solution: The number of boys in the class is 13 and the number of girls in the class is 26
What decimal is equivalent to the fraction and percent below?
Answer:
B. 0.66Step-by-step explanation:
FRACTION TO DECIMALJUST DIVIDE THE NUMERATOR BY THE DENOMINATOR
2/3 ➡️ 2÷3➡️ 0. 666
\( \frac{2}{3} = 0.66\)
DECIMAL TO PERCENTJUST MOVE THE DECIMAL POINT 2 PLACES TO THE RIGHT.
0. 666 ➡️ 66.6%
HOPE IT HELPS
Will Give Brainliest!!! Answer ASAP
Answer:
I will assume that ABCD is a parallelogram.
1. In a parallelogram, opposite sides are congruent so 3x = 18 which means x = 6.
2. The diagonals of a parallelogram bisect each other so BE is half of BD, therefore, BD = 7.5.
3. Consecutive angles of a parallelogram are supplementary so m∠ADC = 180° - 135° = 45°.
4. Consecutive angles of parallelograms are supplementary so 2x + 10 + 135 = 180 → 2x + 145 = 180 → 2x = 35 → x = 17.5°.
5. Again, the diagonals bisect each other so -6 + 8v = 9v - 10 → v = 4.
6. DA || BC so ∠DAC and ∠ACB are (congruent) alternate interior angles, therefore, m∠DAC = 37°.
7. The area of a parallelogram is base * height; we know base = 18 and height = 21 u so area = 378 u.
A yard of fabric costs $12.99 how much will 2 feet cost
Answer:
$8.66
There is three feet in a yard. The fabric costs $4.33 for one foot of fabric so you would time that by 2 sand get $8.66
Step-by-step explanation:
Hope I helped. :)
- Valenteer
(Please mark me as brainliest if this helped, that would be beneficial!)
(Thx for the points!)
lien walked 7/8 mile in 1/4 hour. what was her speed in miles per hour
Answer:
3.5 miles per hour of speed
Step-by-step explanation:
Given:
Distance Lien walked = 7/8 of a mile = 0.875 milesTime of walking = 1/4 of an hour = 15 minutesTo find:
Let's use the Direct Rule of Three Distance in miles 2. Time in minutes0.875 15
x 60
-----------------------------------------------------------------------------15x = 0.875 * 6015x = 52.5x = 52.5/15x = 3.5-----------------------------------------------------------------------------Answer: 3.5Answer: Lien walked 3.5 miles per hour of speed.
Step-by-step explanation:
Distance Lien walked = 7/8 of a mile = 0.875 miles
Time of walking = 1/4 of an hour = 15 minutes
Distance in miles Time in minutes
0.875 15
x 60
Calculations:
15x = 0.875 * 60
15x = 52.5
x = 52.5/15
x = 3.5
Hope this wasn't too confusing and it helps you out!
.
There are 25 questions in a quiz.
Each correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
vach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
vach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
Step-by-step explanation:
ach correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Answer:
2h
Step-by-step explanation:
Question
.
There are 25 questions in a quiz.
Each correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0
It is possible to finish the quiz with a negative score.
1) If 75 is the maximum score you can get, what is the minimum score on the quiz?
2) A student answers 21 questions. 6 are correct. How many points does she score?
Help with explanation please and thank you
Answer:
Formula is given
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
0
Step-by-step explanation:
Hope this helps you.........
suppose that 51% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?
If 51% of people owns dogs and you randomly pick two people, then probability that they both own a dog is 0.2601
Given,
The percentage of people own dogs= 51%
We know,
Probability = Number of favorable outcomes / Total outcomes.
If you choose random guy and probability that guy own a dog = 0.51
Here the probability of having a dog is independent events
Then,
Probability that they both own a dog = Probability of first person own a dog × Probability of second person own a dog
= 0.51×0.51
=0.2601
Hence, If 51% of people owns dogs and you randomly pick two people, then probability that they both own a dog is 0.2601
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how many dogs is in the questionnnn
evaluate ∫ c ( x 2 y 2 ) d s , c is the top half of the circle with radius 5 centered at (0,0) and is traversed in the clockwise direction.
The value of the line integral is approximately 2446.94.
To evaluate the line integral:
∫c (x^2y^2) ds
where c is the top half of the circle with radius 5 centered at (0,0) and is traversed in the clockwise direction, we can use the parameterization:
x = 5 cos(t)
y = 5 sin(t)
where t goes from pi to 2pi. This parameterization traces out the top half of the circle in the clockwise direction.
We can then express ds in terms of dt:
ds = sqrt[(dx/dt)^2 + (dy/dt)^2] dt
= 5 dt
Substituting the parameterization and ds into the integral, we get:
∫c (x^2y^2) ds = ∫pi^2pi (25cos^2(t) * 25sin^2(t)) (5 dt)
Simplifying, we get:
∫c (x^2y^2) ds = 3125 ∫pi^2pi (cos^2(t)sin^2(t)) dt
Using the identity cos^2(t)sin^2(t) = (1/4)sin^2(2t), we can further simplify:
∫c (x^2y^2) ds = (3125/4) ∫pi^2pi (sin^2(2t)) dt
Using the formula ∫sin^2(u) du = u/2 - (1/4)sin(2u), we can evaluate the integral:
∫c (x^2y^2) ds = (3125/4) [(2t)/2 - (1/4)sin(4t)]_pi^2pi
= (3125/4) [2pi - pi/4 - (2pi - pi/4)]
= (3125/4) (pi/2)
= 2446.94 (rounded to two decimal places)
Therefore, the value of the line integral is approximately 2446.94.
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