If it doesn't tell you to round, leave your answer in exact form. However, if it tells you to round, then round.
Noah was given an assignment to build a rectangular prism with a volume of at least 32 cubic centimeters. If the area of the base is 4 squared centimeters, which inequality could represents the possible heights?
Answer:
h ≥ 8 cm
Step-by-step explanation:
Solving :
V ≥ 32 cm³
a = 4 cm²
h ≥ 32/4
h ≥ 8 cm
A, B and C are three points on a circle.
The radii from A, B and C are shown.
B
X
2(2x + 20°)
5x + 40°
с
Is AC a diameter of the circle?
You must show your working.
You should add 5x+40 to 2(2x+20) and x, to see if they come up to 360. If they do, AC is a diamater of the circle.
So, let’s begin.
5x+40 + 2(2x+20) + x = 360
We need to take care of the brackets first.
5x+40 + 4x+40 + x = 360
Now, we will group the parts of the equation. We will put the unknown parts on the left, and the known ones on the right.
5x + 4x + x = 360 - 40 - 40
From here on it’s pretty straight-forward.
10x= 280
Divide both sides by 10.
x=28
Moving on,
5x+40 + 2(2x + 20) + x = 360
5*28 + 40 + 2(2*28 + 20) + 28 = 360
140 + 40 + 2(56 + 20) + 280 = 360
180 + 112 + 40 + 28 = 360
360 = 360
They are equal, therefore AC is a diamater of the circle.
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
99000 millimeters kdknwjdhdiqkwpshd
Jon rides his bike 5 miles in 40 minutes Paul rides his bike 8 miles in 40 minutes if they continue at this rate how far will each person ride in one hour
Answer: Jon will ride 7.5 miles in one hour or 60 minutes.
Paul will ride 12 miles in one hour or 60 minutes.
Step-by-step explanation:
5 divided by 40 is 0.125 or 1/8, so jon rides an 1/8 of a mile every minute.
0.125 times 60 equals 7.5.
8 divided by 40 equals 0.2 or 1/5, so paul rides 1/5 of a mile every minute.
0.2 times 60 equals 12 miles.
Considering if they dont quit pedaling after 5 mins like me lol
1) Julia drives 10 km due west of her home. Then she heads 15 km south. What is the total distance that she has travelled from his house?
2) In a right angle triangle, the side adjacent to the 250 angle is 15 cm long. What is the length of the side opposite the 250 angle to the nearest centimeter?
HELP PLEASE:?
1. If Julia drives 10 km due west of her home. the total distance that she has travelled from his house is 18.02 km.
2. The length of the side opposite the 250 angle to the nearest is-60.41.
How to find the distance and the length?1. Total Distance
Pythagorean theorem
D²= a² + b²
D² = 10² + 15²
D²= 100+225
D = √325
D = 18.02 km
2. Length
tan(250) = side opp/side adj
Side opp = 15×tan(250)
Side opp = 15× (-4.02728264508)
Side opp = -60.41
Therefore the distance is 18.02 km and the length is -60.41.
Learn more about distance here:https://brainly.com/question/26550516
#SPJ1
which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
For more such questions on square root
https://brainly.com/question/428672
#SPJ8
If a firm has a production quota of 400=5x1^2+8x1x2+15x2^2, what combination of good x1 and x2 should the firm produce to minimize cost of C=x1^2+x2^2
The firm should produce good x₁ = 4 and x₂ = 8 to minimize cost of C = x₁² + x₂² .
What is Lagrange multipliers ?
Lagrange multipliers is a method used in optimization problems to find the maximum or minimum value of a function subject to one or more constraints. The method involves introducing a Lagrange multiplier, which is a scalar variable, to the objective function and the constraint(s). This forms the Lagrangian function, which is then optimized with respect to the original variables and the Lagrange multiplier.
To minimize the cost C = x₁² + x₂²
We can use the method of Lagrange multipliers to solve this problem. Let's define the Lagrangian function L as:
L(x₁, x₂, λ) = x₁²+ x₂² + λ(400 - 5x₁²- 8x₁x₂ - 15x₂²)
Taking partial derivatives of L with respect to x₁, x₂, and λ, we get:
∂L/∂x₁ = 2x₁ - 10λx₁ - 8λx₂ = 0
∂L/∂x₂ = 2x₂ - 30λx₂ - 8λx₁ = 0
∂L/∂λ = 400 - 5x₁² - 8x₁x₂ - 15x₂² = 0
Solving these equations simultaneously, we get:
x₁ = 4
x₂ = 8
λ = 1/20
Hence, the firm should produce a combination of x₁ = 4 and x₂ = 8 to minimize the cost of C = x₁² + x₂² while satisfying the production quota of 400.
To learn more about Lagrange multipliers , visit the link:
https://brainly.com/question/30459783
#SPJ1
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
The figure below shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 3, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down
Answer:
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
Step-by-step explanation:
Plz mark as Brainliest!
What is the domain of the function y = 2√x-5?
THE ANSWER IS IN THE PHOTO
find the steps to find the inverse
The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)
what are inverse functions?An inverse function in mathematics is a function that "undoes" another function.
In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.
An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.
How to find the inverse functionThe given function is of the form
f(x) = x^(7/9), this is equivalent to ⁹√x⁷
say f(x) = y, then
f(x) = y = x^(7/9)
y = x^(7/9)
solving for the inverse, of y = x^(7/9)
y = x^(7/9)
y^(9/7) = x
interchanging the letters
y = x^(9/7)
hence the inverse function is solved to be f⁻¹(x) = x^(9/7)
Learn more about inverse function :
https://brainly.com/question/11735394
#SPJ1
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answer:
(x-1)(x-4)
Step-by-step explanation:
I used long division with polynomials to help me find the other factor to this problem. Divide x cubed -5x squared -6x+8 by x+2 to get x squared -5x+4.
Hope this helps!
Answer: (x + 2) (x - 4) (x - 1)
Step-by-step explanation:
Use synthetic division. If the remainder (last digit) is zero, then it is a factor. The other digits represent the coefficients of the reduced polynomial.
x³ - 3x² - 6 + 8 ; x + 2 = 0 --> x = -2
-2 | 1 -3 -6 8
| ↓ -2 10 -8
1 -5 4 0 → remainder is 0
Reduced polynomial: x² -5x + 4
= (x - 4) (x - 1)
Factored form: (x + 2) (x - 4) (x - 1)
Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue, how much shaving cream does she need?
The ounces of shaving cream will be 230 ounces.
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:
= 56 ÷ 7/15
= 56 × 15/7
= 120
Learn more about ratio on
brainly.com/question/2328454
#SPJ1
Find the areas in that unit square PQRS, P(4,3), Q(4,1), S(-1,3), R(-1,1)
Answer:
Step-by-step explanation:
P(4,3), Q(4,1), S(-1,3), R(-1,1)
\(Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2} -y_{1})^{2}}\\\\PQ= \sqrt{(4-4)^{2}+(1-3)^{2}}\\\\=\sqrt{(-2)^{2}}\\\\\=\sqrt{4}\\\\=2 \ units\\\\\\QS=\sqrt{(-1-4)^{2}+(3-1)^{2}}\\\\=\sqrt{(-5)^{2}+(2)^{2}}\\\\=\sqrt{25+4}\\\\=\sqrt{29}\ units\\\\\\SR =\sqrt{(-1-[-1])^{2}+(1-3)^{2}}\\\\=\sqrt{(-1+1)^{2}+(-2)^{2}}\\\\=\sqrt{0+4}\\\\= \sqrt{4}\\\\= 2 \\\\\\PR = \sqrt{(-1-4)^{2}+(1-3)^{2}}\\\\=\sqrt{(-5)^{2}+(-2)^{2}}\\\\=\sqrt{25+4}\\\\=\sqrt{29}\\\\\)
PQRS is a rectangle
Area= length *breadth
= 2 * √29
= 2√29 sq.units
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Answer:
um i think if its just one unit then its 8 on top and 5 on the side
Step-by-step explanation:
Answer:
40 units
Step-by-step explanation:
Area is length times width
-> L * W = A
[] Let's find the area of the "framed" rectangle. Since the frame is 1 unit wide, we can subtract 1 unit from the frame to get the shaded rectangle.
-> 9 - 1 = 8
-> 6 - 1 = 5
-> 8 * 5 = 40
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.)r(x) = 4x2 + 3x − 5x-intercept (x, y) = y-intercept (x, y) =
Given: A rational function
\(r(x)=\frac{4}{x^2+3x-5}\)Required: x-intercept and y-intercept of the function
Explanation:
for x-intercept, y = 0
In this case r(x) = 0
which is not possible.
So x-intercept doesnot exist.
For y-intercept, x = 0
Put x = 0
\(r(x)=\frac{4}{0+0-5}=-\frac{4}{5}\)So y is -4/5.
Final Answer:
x-intercept: DNE
y-intercept: (0,-4/5).
Lucy Baker is analyzing demographic characteristics of the American Idol program. Previous studies indicate that the average viewer is 43 years old. May changes took place in the program and there are rumors the audience has changed. Mrs. Baker was tasked to find out . She randomly selects 100 people from the audience, and reports that the average age is 45 years. Assuming that variability in the ages of viewers is σ = 5 years, identify if Mrs. Baker's conclusion. She wants to accept a Type I error of .05.
Answer:
We conclude that the mean age of average viewer has changed
Step-by-step explanation:
H0 : μ = 43
H1 : μ > 43
The test statistic :
(xbar - μ) ÷ σ/sqrt(n)
Sample size, n = 100
xbar = 45 ; σ = 5
Test statistic :
(45 - 43) ÷ 5/sqrt(100)
2 ÷ 0.5 = 4
The Pvalue :
P(Z < 4) = 0.000032
Pvalue < α
0.000032 < 0.05 ; Hence, we reject the Null
We conclude that the mean age of average viewer has changed
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
Learn more about integrations here:
https://brainly.com/question/30217024
#SPJ1
find he prodct
4(-2)
Answer:
-8
Step-by-step explanation:
four times two equals eight, positive times negative equals negative, so -8
Answer:
-8
Step-by-step explanation:
4(-2)=4×(-2)=-8 I Know The Answer Is Correct I Am Sure.
Write the slope-intercept inequality for the graph below. If necessary, use <=
for s or >= for 2.
(5,0)
(0,-3)
Help please
Answer:
Slope intercept y>=3/5x-3
Step-by-step explanation:
Slope intercept of the line: y=3/5x-3
Shaded above, so y>=3/5x-3
what is a product concept?
Answer:
so just be you
Step-by-step explanation:
A product concept statement, sometimes referred to as just a "concept statement" represents the vision that a business owner and his design team has for a product or service. It describes the product or service, explains its purpose and considers the consumer demographics that the product is market toward.
Consider the line 3x+2y=-1.
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of perpendicular line:
Equation of parallel line:
0
You write 6 3/10 pages of a report in 2 1/3 hours. What is the average number of pages you write per hour?
the answer is 2 5/14
Answer:
Step-by-step explanation:
To find the average number of pages written per hour, we need to divide the total number of pages written by the total time taken:
Total pages written = 6 3/10 = 63/10
Total time taken = 2 1/3 = 7/3
Average pages written per hour = Total pages written / Total time taken
= (63/10) / (7/3)
= (63/10) x (3/7)
= 9/2
Therefore, the average number of pages written per hour is 9/2, which is equal to 4.5 pages per hour.
The radius of a cylindrical construction pipe is 2.5. If the pipe is 28ft long, what is its volume?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:V = 550 ft^3
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
We know the radius is 2.5 and the height is 28
V = 3.14 * (2.5)^2 * 28
V =549.5 ft^3
Rounding to the nearest whole number
V = 550 ft^3
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The probability that a point chosen at random lies on the shaded region is given as follows:
4/7.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The area of the shaded region in this problem is given as follows:
4² = 16.
The total area of the figure is given as follows:
16 + 2 x 1/2 x 3 x 4 = 28.
Hence the probability is given as follows:
16/28 = 4/7.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
P (odd I greater than 3)
The temperature in Minnesota was -8°F one day. On the same day, the temperature was 12° higher in Indiana. What was the temperature in Indiana that day?
Answer:
4
Step-by-step explanation:
-8 +12=4
there has to be 20 characters so thi is what I'm putting.
Answer:
4° that is how much degrees Indiana had.
Step-by-step explanation:
-8 + 12 = 4
If the lengths of two adjacent sides of a parallelogram area a and b, and if the acute angle formed by these two sides is theta, show that the product of the lengths of the two diagonals is given by the expression (a^2 + b^2)^2 - 4a^2b^2cos^2theta
√(a² + b²)² - 4a²b²cos²θ is the product of the lengths of the two diagonals is given by the expression.
What is a mathematical expression?
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.
An expression's structure is as follows: Number/variable, Math Operator, Number/Variable is an expression.
we have AB as a, AD as b and the angle between them is theta.
So using the cosine rule, we have
BD = √a² + b² - 2abcosθ
So now consider the triangle ABC
Here AB is a, BC is b and the angle is 180-theta
So using cosine rule, we get AC as
AC = √a² + b² - 2abcosθ( 180 - θ )
AC = √a² + b² - 2ab(-cosθ )
AC = √a² + b² - 2abcosθ
Now we have the two diagonals AC and BD. So multiplying, we get
AC × BD = √a² + b² + 2abcosθ × √a² + b² - 2abcosθ
Simplifying, we get
AC × BD = √(a² + b² + 2abcosθ) × (√a² + b² - 2abcosθ)
AC × BD = √(a² + b²)² - (2abcosθ)²
AC × BD = √(a² + b²)² - 4a²b²cos²θ
Learn more about the expression
brainly.com/question/29052794
#SPJ4
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
Answer:
Step-by-step explanation:
The general equation of the circle is:
(x-h)²+(y-k)²=r²
(h, k)=(-3,-5) are the coordinates of the center of the circle.
r=6 is the radius
The equation of the circle is:
(x+3)²+(y+5)² = 36
A river flows at the rate of 3 miles per hour. What is the rate in seconds per mile ?
Answer:
SOLUTION: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water
Algebra -> Human-and-algebraic-language -> SOLUTION: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water
Step-by-step explanation:
PLS BRAINLIESTE