what’s 5 x 1/8? please explain how to do this problem too :)
Answers
Answer:
\(\frac{5}{8}\)
Step-by-step explanation:
\(\frac{5}{1}\) × \(\frac{1}{8} = \frac{5}{8}\)I hope this helps!
Answer:
5/8 or 0.625
Step-by-step explanation:
multiply the numerator so that equals 5
multiply the denominator so that equals 8
the fraction answer is 5/8
the decimal answer is 0.625; this is because when you divide 5 and 8, you get 0.625
if you need more explanation, 5/1 times 1/8
just multiply across the top and bottom to get your answer
Related Questions
A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?
Answers
Answer:
The radius of the clock is 7.72 meters
Step-by-step explanation:
Here, we want to calculate the radius of a clock which has a circumference of 48.5 m
Mathematically;
Circumference C = 2 * pi * r
48.5 = 2 * 22/7 * r
7 * 48.5 = 44r
r = (7 * 48.5)/44
r = 7.72 meters
Write the equation of a line with slope of- 2/3and goes through the point (−6,−5)in standard form. A. 2x + 3y = -27B. -2x + 3y = -27C. 2x + 3y = -3D. -2x + 3y = 3
Answers
We want to find the equation of a line with slope -2/3 and goes through the point (-6,-5).
We can write the general equation of a line as:
\(\begin{gathered} y=mx+b \\ \text{Where m is the slope and b is the y-intercept value} \end{gathered}\)In this case, m=-2/3 and the point (-6,-5) must satisfy the equation, so:
\(\begin{gathered} y=-\frac{2}{3}x+b \\ We\text{ find the value of b with the point (x,y)=(-6,-5):} \\ -5=-\frac{2}{3}\cdot(-6)+b \\ -5=\frac{12}{3}+b \\ -5=4+b \\ b=-5-4=-9 \end{gathered}\)Now, we replace the value of b and write the equation in the standard form:
\(\begin{gathered} y=-\frac{2}{3}x-9 \\ We\text{ can multiply al the equation by 3:} \\ 3\cdot y=3\cdot(-\frac{2}{3}x-9) \\ 3y=-\frac{2}{3}\cdot3\cdot x-9\cdot3 \\ 3y=-2x-27 \\ 2x+3y=-27 \end{gathered}\)So, the option A is the correct answer.
Human hair grows 1.758x10^-4 m per hour express the rate in standard form.
Answers
Answer:
\(1.758\times10^{-4}\)Explanation:
A number is said to be in standard form when it is written as a product of a number between 1 and 10 and a power of 10.
The given length is:
\(1.758\times10^{-4}\)This number is already in standard form.
The graduating class at Springfield High School was 200 students a generation ago. This year's graduating class is 266 students. What is the percent of increase in the size of the graduating class?
Answers
33% is the increasing percentage in the size of the graduating class.
The formula for percentage increase = Final number - Initial number x 100
Initial number
Or, it can be also written as
Percentage increase = Increase x 100
Initial number
Given that:
The final number of students = 266
The initial number of students = 200
Therefore, putting the value in the formula. We get,
Percentage increase = 266 - 200 x 100
200
Percentage increase = 66 x 100
200
Percentage increase = 33 %
Hence, the increase percentage from the previous year to this year of the students of the class graduating is 33%.
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I can’t process this through images on this app so I have no idea. Can someone please help. I’ll give brainliest.
Answers
Answer:
The 3rd answer
Step-by-step explanation:
Step 1: Rewrite the square root
(8^1/3)^x
Step 2: Multiply exponents
8^(x/3)
Remember when exponenting an exponent, you multiply the 2 exponents together.
Answer: The third choice, 8^(x/3)
Step-by-step explanation:
If you were to right the cube root of 8 in fractional exponent form, it would be 8^(1/3).
Now, we have (8)^1/3*x
Then we multiply 1/3 with x to get:
8^(x/3)
Hope this helps
In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated in the drawing. Rectangles are placed without rotating or flipping in positions I, II, III, IV, and V in such a way that the sides that stick together in two rectangles have the same number. Which of the rectangles should go in position I?
Answers
The rectangle which should go in position I is rectangle A.
We are given that;
The rectangles A,B,C and D with numbers
Now,
To take the same the number of side
If we take A on 1 place
F will be on second place
And B will be on 4th place
Therefore, by algebra the answer will be rectangle A.
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Which function grows at the fastest rate for increasing values of x? h(x)=2x f(x)=8x2−3x g(x)=19x p(x)=5x3+3
Answers
The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.
What is a function?A function is a relation between two sets one is called domain and the other one is range.
Given functions are:
h(x) = 2x
f(x) = 8x² − 3x
g(x) = 19x
p(x) = 5x³ + 3
Here, p(x) = 5x³ + 3 is the only cubic function.
As the degree of the function p(x) is highest among all.
Therefore, this function p(x) grows at the fastest rate for increasing values of x.
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3/4 + (-2/3) + 1/4
Help please
Answers
Answer:
1/3
Step-by-step explanation:
\(\frac{3}{4} + \frac{-2}{3} +\frac{1}{4}\\ = \frac{9-8+3}{12}\\= \frac{4}{12}\\=\frac{1}{3}\)
what do I do and how do I do it
Answers
Answer:
C.
Step-by-step explanation:
Just use this
Rise = 1
-----------
Run = 2
That finds the slope for the + whatever you just have to look at the Y-value aka the straight up/down line
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.) F(x, y) = (xy + y2)i + (x5 + 2xy)j
Answers
The vector field F is conservative, and the potential function f is f(x, y) = x²y + (1/3)x³ + xy².
A vector field F is conservative if it is the gradient of a potential function f, which means that F = ∇f. To determine if F is conservative, we need to check if the partial derivatives of F with respect to x and y are equal, which is known as the "curl" of F. If the curl of F is zero, then F is conservative.
In this case, we have:
∂F/∂y = x + 2y
∂F/∂x = y + 5x⁴ + 2y
Taking the second partial derivative of ∂F/∂y with respect to x gives:
∂²F/∂x∂y = 1
Taking the second partial derivative of ∂F/∂x with respect to y gives:
∂²F/∂y∂x = 1
Since both second partial derivatives are equal to 1, we can conclude that the curl of F is zero and therefore F is a conservative vector field.
To find the potential function f, we can integrate the first component of F with respect to x and the second component with respect to y, while treating the constant of integration as a function of y in the first integral and as a function of x in the second integral. This gives us:
f(x, y) = ∫ (xy + y²) dx + C(y) = x²y + (1/3)x³ + C(y)
f(x, y) = ∫ (x⁵ + 2xy) dy + C(x) = xy² + C(x)
To find C(y), we can take the partial derivative of f with respect to y and equate it to the second component of F:
∂f/∂y = x² + 2xy + C'(y) = x² + 2xy
C'(y) = 0
This implies that C(y) is a constant, which we can set to 0 without loss of generality. Similarly, to find C(x), we can take the partial derivative of f with respect to x and equate it to the first component of F:
∂f/∂x = 2xy + x³ + C'(x) = xy
C'(x) = (1/3)x³
Thus, the potential function f(x, y) = x²y + (1/3)x³ + xy², and we can verify that F = ∇f by taking the gradient of f and verifying that it equals F.
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Find the solution set of 3x + 11 < 50 using inverse operations and properties of inequality.
Answers
Answer:
the answer is 13
Step-by-step explanation:
x < 13 that's what the answer is
Answer: (-♾️ 13)
Step-by-step explanation:
3x+11<50
3x<50-11
3x<39
X<13
The solution will be (-♾️ 13)
this problem concerns lists of length 6 made from the letters a,b,c,d,e,f, without repetition. how many such lists have the property that the d occurs before the a?
Answers
The number of such lists that have the property that the d occurs before the a is 120.
In order to obtain a solution to this problem, we will use the principle of permutations with restrictions. We can solve the problem by first finding the total number of permutations of length 6 made from the letters a,b,c,d,e,f.
This is given by 6!, or 720, since we are not allowing repetition.
Then, we need to find the number of permutations of length 6 made from the letters a,b,c,d,e,f where d appears before a.
We can solve this by fixing the position of d and a in the list.
The position of d can be any of the first five positions, since we want d to appear before a. Once d is fixed, the position of a can be any of the remaining four positions.
Finally, the remaining four letters can be arranged in any order, which gives us 4! permutations of those letters.
Therefore, the number of such lists that have the property that the d occurs before the a is equal to the product of the number of ways to choose the position of d (5), the number of ways to choose the position of a (4), and the number of ways to arrange the remaining four letters (4!), which is equal to 5×4×4!=120.
Therefore, the number of such lists that have the property that the d occurs before the a is 120.
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According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0. 82.
a. Suppose a random sample of 100 Americans is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain.
A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.
B. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not.
C. The response is quantitative because the responses can be measured numerically and tho values added or subtracted, providing meaningful results
D. The response is qualitative because the response can be measured numerically and the value added or subtracted, providing meaningful results.
b. Explain why the sample proportion, p, is a random variable. What is the source of the variability?
c. Describe the sampling distribution of p, the proportion of Americans who are satisfied with the way things are going in their life. Be sure to verify the model requirements.
d. In the sample obtained in part (a), what is the probability the proportion who are satisfied with the way things are going in their life exceeds 0. 85?
e. Would it be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life? Why?
Answers
A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.
B. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.
C. The sampling distribution of p is approximately normal.
D. We find that the probability is 0.0912 or about 9.12%.
E. We get:z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29
a. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.
b. The sample proportion, p, is a random variable because it varies from sample to sample. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.
c. The sampling distribution of p is approximately normal if the sample size is sufficiently large and if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the population proportion. In this case, we have:
Sample size (n) = 100
Population proportion (p) = 0.82 Thus, np = 82 and n(1-p) = 18, both of which are greater than 10. Therefore, the sampling distribution of p is approximately normal.
d. To calculate the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85, we need to find the z-score and then look up the corresponding probability from the standard normal distribution table. The formula for the z-score is:
z = (p - P) / sqrt[P(1-P)/n]
where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:
z = (0.85 - 0.82) / sqrt[0.82(1-0.82)/100] = 1.33
Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0912 or about 9.12%.
e. Yes, it would be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life. To check if it is unusual or not, we need to calculate the z-score and find its corresponding probability from the standard normal distribution table. The formula for the z-score is:
z = (p - P) / sqrt[P(1-P)/n]
where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:
z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29
Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0106 or about 1.06%. Since this probability is less than 5%, it would be considered unusual to observe 75 or fewer Americans being satisfied with the way things are going in their life.
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What multiplication equattion can be used to explain the solution to 15 / 1/3
Answers
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Reciprocal of 1/3 = 3/1
So, the multiplication equation that explains the solution is:
15 * (3/1) = 45
Therefore, 15 divided by 1/3 is equal to 45.
The volume of a triangular pyramid is 24 units
3
3
. If the base and height of the triangle that forms its base are 6 units and 4 units respectively, find the height of the pyramid.
Answers
The height of the pyramid is 6 units.
How to find the height of the pyramid?The formula for the volume of a triangular pyramid is given by:
V = (1/3) * A * h
where V is the volume, A is the area of the base, and h is the height of the pyramid.
We know that the volume of the pyramid is 24 \(units^3\) and the area of the base is:
A = (1/2) * base * height = (1/2) * 6 * 4 = 12
Substituting these values into the formula for the volume, we get:
24 = (1/3) * 12 * h
Multiplying both sides by 3, we get:
72 = 12 * h
Dividing both sides by 12, we get:
h = 6
Therefore, the height of the pyramid is 6 units.
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Can someone please help me with this ❤️❤️
Answers
Answer:
See below for answers
Step-by-step explanation:
y=5(2)ˣ
y=5(2)⁻²=5(1/2²)=5(1/4)=5/4
y=5(2)⁻¹=5(1/2¹)=5(1/2)=5/2
y=5(2)⁰=5(1)=5
y=5(2)¹=5(2)=10
y=5(2)²=5(4)=20
A population of rabbits is doubling every 20 days. On day 15, there are 42 rabbits. How many rabbits did the population start with? Round to the nearest whole number.
Answers
Answer: So, if it just magically doubles every 20 days, and its only been 15 days, then it would've started with 42, but I'm not sure since I can't see the original problem
Step-by-step explanation:
Can someone help? It’s about 2 column proofs
Answers
Step-by-step explanation:
1. AB = BC (B is the midpoint of AC)
2. DE = EF (E is the midpoint of DF)
3. EB is common
4. ∠ABE = ∠CBE; ∠BED = ∠BEF (EB⊥AC, EB⊥DF)
5. ΔDEB ≅ ΔFEB (RHS)
6. DB = FB (corresponding ∠s of ≅ Δs)
7. ∠EFB = ∠CBF; ∠EDB = ∠ABD (alternate interior angles, AC║DF)
8. ΔABD ≅ ΔCBF (SAS)
One angel of an isosceles triangle is 120 degrees. What is the measure of the other two angles
Answers
Answer:
30 degrees
Step-by-step explanation:
180 - 120 = 60
60 / 2 = 30
Hope that helps!
Answer: 30°
Step-by-step explanation: because math
What two number does the cube root of 11 lie between?
Answers
if u know what the sqare root which is 3.32 than it will lie between 2 and 4
1. a right cone has a base with diameter 10 units. the volume of the cone is cubic units. what is the length of a segment drawn from the apex to the edge of the circular base?
Answers
For the given cone, the length of a segment drawn from the apex to the edge of the circular base is 13 units.
What is a cone?
A cone is a three-dimensional geometric form with a flat base and a smooth tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex. The height of the cone is determined by measuring the distance between its vertex and base. The radius of the circular base has been measured. The slant height is the distance along the cone's circumference from any point on the peak to the base.
Given,
The base diameter of the cone = 10 units
The volume of the cone = 100π cubic units.
We are asked to find the length of a segment drawn from the apex to the edge of the circular base of the cone.
Now the volume of a cone is given by,
V = πr² * h/3
where,
r = radius
h = height
for the given cone,
r = 10/2 = 5 units
So,
100π = π * 5*5 * h/3
4 = h/3
h = 12 units
Now we are asked to find the slant height(l) of the cone.
l² = h² + r² = 12² + 5² = 169
l = 13 units.
Therefore, for the given cone, the length of a segment drawn from the apex to the edge of the circular base is 13 units.
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Consider the vectors v1, v2, v3 in R2. Vectors v1 and v2 are parallel.How many solutions x, y does the system xv1 + yv2 = v3 have? Argue geometrically:
Answers
We want to see how many solutions has an equation given some restrictions on the vectors of the equation.
We have 3 vectors in R2.
v₁, v₂, and v₃.
Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.
Then we can write:
v₂ = c*v₁
Where c is a real number.
Then our system:
x*v₁ + y*v₂ = v₃
Can be rewriten to:
x*v₁ + y*c*v₁ = v₃
(x + y*c)*v₁ = v₃
Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.
Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.
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Find the unknown value please helppp
Answers
Answer:
30
Step-by-step explanation:
To get from 15 to 5, you multiply 15 times 1/3, so do the reciprocal to get from x to 10. So, 10 times 3 is 30.
as you can see 5 times 3 equals to 15 therefore times 10 with 3 makes 30.
What is the surface area of the box shown by the pattern below?
Answers
Solution:
Given the figure below:
The above figure, when closed, results into a cuboid.
This can be proven in the diagram below:
where the cuboid has
\(\begin{gathered} \text{length}=7\text{ units} \\ \text{width}=5\text{ units} \\ \text{height}=2\text{ units} \end{gathered}\)The surface area of a cuboid is expressed as
\(\begin{gathered} \text{Area = 2(L}\times W)+2(L\times H)+2(H\times W) \\ \text{where} \\ L\Rightarrow\text{length} \\ W\Rightarrow\text{width} \\ H\Rightarrow\text{height} \end{gathered}\)Thus, the surface area of the cuboid is evaluated as
\(\begin{gathered} \text{Area = 2(L}\times W)+2(L\times H)+2(H\times W) \\ =2(7\text{ units}\times5\text{ units)+2(7 units}\times2\text{ units)+2(2 units}\times5\text{ units)} \\ =2(35\text{ square units)+2(14 square units})+2(10\text{ square units)} \\ =(70+28+20)\text{ square units} \\ =118\text{ square units} \end{gathered}\)Hence, the surface area of the box is
\(118\text{ square units}\)The correct option is D.
What is the result when the number 89 is decreased by 9.6%?
Answers
Answer:
80.456 is a 9.6% decrease of 89.
Step-by-step explanation:
Answer:
Step-by-step explanation:
89×(1-9.6%)
=89×(1-0.096)
=89×0.904
=80.456
≈80
the answer is 80 if you have to round it.
3. 10 Rani received $250 and decided to buy an instant camera and an If the camera cost $187 and the cost of the SD card was of the price of the camera, how much money did Rani have left after buying these two items?
Answers
Answer:
44.3$
Step-by-step explanation:
187 + 1/10*187= 205.7$
250-205.7= 44.3$ left
Answer:
44.3 dollars
Step-by-step explanation:
sd card=1/10 of camera
=1/10 of 187=18.70 dollars
total=187+18.70=205.7 dollars
left=250-205.7 =44.3 dollars
In Exercises 9 and 10, point B is between A and Con AC. Use the information to
write an equation in terms of x. Then solve the equation and find AB, BC, and AC.
9. AB = 13 + 2x
10. AB = 8x + 5-6
BC = 12
BC = 5x – 9-53
AC = x + 32
AC = 74 - 21
Answers
Answer:n
Step-by-step explanation:
n
The value of x is 7 then AB will be 27 and BC will be 12.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given ;
AB = 13 + 2x;
BC= 12;
AC = x + 32
Then, AC = x + 32
13 + 2x + 12 = x + 32
25 + 2x = x + 32
x = 7
AB = 13 + 2x = 27
BC = 12
Therefore, the value of x is 7 then AB will be 27 and BC will be 12.
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The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 20 to positive 20 in increments of 4 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 16, negative 4, and 0, 0, and 16, 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 8, negative 2 labeled as A, one leg is from 0, 0 to 0, negative 2, and the second leg is from 0, negative 2 to negative 8, negative 2. Another shaded right triangle is formed with the hypotenuse from negative 8, negative 2 to negative 12, negative 3 labeled as B, one leg is from negative 8, negative 2 to negative 8, negative 3, and the second leg is from negative 12, negative 3 to negative 8, negative 3.
Which statement about the slope of the line is true?
A. The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.
B. The slope from point O to point A is 4 times the slope of the line from point A to point B.
C. It is 4 throughout the line.
D. It is fraction 1 over 4 throughout the line.
Answers
The answer should be D
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an
additional fee of $175.50 for each ton of sugar. The second company charges $4995 to rent trucks plus an additional fee of $200.75 for each ton of sugar.
Answers
If the weight of sugar exceeds 20 tons, then the first company is a better deal.
If the weight of the sugar is below 20 tons, then the second company is a better deal
If the weight of the sugar is 20 tons exactly then both companies are the same deal
The equation for these two companies are:
g(x) =5500+175.50x
f(x)= 4995+200.75x
in order to find the point where the cost is even you want to subtract g(x) by f(x)
(5500+175.50x) - (4995+200.75x)
Now the new equation you have is
0=505-25.25x
Move the x and that is 25.25x= 505
divide both sides and you get
X= 20
At 20 tons of sugar, the cost for both companies are equal.
If you have greater then 20 tons(for example 21) you plug in that into each equation
5500+175.50(21) = 9185.5
4995 +200.75(21) = 9210.75
So for greater then 20 It is clear the first company is a better deal
But if you have less then 20 tons(for example 19) also plug it in each equation
5500+175.50(19)= 8834.5
4995+200.75(19)= 8809.25
But for less then 20 tons it is clear company 2 is the better deal.
How is scientific notation used in the real world?l
Answers
Answer: Scientific notation is used in the real world to make writing very large numbers, like the distance of a star from Earth or the weight of our oceans, much simpler and easier, especially when writing them in things like reports or scientific papers.
Step-by-step explanation: For example, the distance of the Sun from Neptune is somewhere around 4,500,000,000km. Writing this number takes time, and when you have to write this over and over, it wastes time, so instead, you would write 4.5 × 10⁸, which is much shorter and saves time when writing it down in a scientific report/paper many times.
Sorry for the really long explanation, I'm pretty sure just the 'Answer' bit should be fine, but you can include the 'Step-by-step explanation' bit if you want.
Hope this helps!