Answer:
The answer is 68 ftStep-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side a
Using Pythagoras theorem we have
a² = b² + c²
where
a is the hypotenuse
So we have
\( {a}^{2} = {60}^{2} + {32}^{2} \\ a = \sqrt{3600 + 1024} \\ a = \sqrt{4624} \)
We have the final answer as
68 ftHope this helps you
Can you help me with this please? because I am confused
Answer:
Make a line a bit close to -1
Step-by-step explanation:
-2 3/4 can be re-written as -2.75 therefore you have to mark close to the number -1
3x\(3x^{2} +8x-10\)
The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594
Solving quadratic equations.Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c
From the given information, we are to solve the quadratic equation:
3x² + 8x - 10Using the quadratic formula:
\(\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}\)
where:
a = 3b = + 8c = - 10\(\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}\)
\(\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}\)
\(\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}\)
x = 0.927 or -3.594
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What is the product of a number and 14 plus 10, written as an algebraic expression?
10(x + 14)
10x − 14
14 ÷ x − 10
14x + 10 please give me the answer i need help
Answer:
14x+10
Step-by-step explanation:
The product means multiplication
Answer:
D 14x+10
Step-by-step explanation:
Given the equation 5y = 225, solve for y.
Answer: y = 45
Step-by-step explanation:
225/5 = 45
45·5 = 45
Complete the slope-intercept form of this line. y = –4x
The slope-intercept form of this line is y = –4x
How to determine the equation in slope-interceptFrom the question, we have the following parameters that can be used in our computation:
y = -4x
The above equation is a linear equation
A linear equation in slope intercept can be represented as
y = mx + c
When the equations are compared, we have
m = -4 and c = 0
This implies that the equation is in the required form
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Determine the largest integer value of x in the solution of the following inequality.
3x - 6 ≤ -14
Answer:
3x <= -8
x<= -8/3 means smaller or equal -8/3
->-8/3
Please help if you answer this i’ll give brainlest
Answer:
you just need to get 93 and times it my the number next to it and you will get your answer which is 257
What is the equation for a line that passes through the points (2,-2) and (-4,22)?
A.) Y= -4x + 6
B.) Y= 4x + 6
C.) Y= 4x - 6
D.) y= -4x - 6
Answer:
A.) Y= -4x + 6
Step-by-step explanation:
During a sale at the mal, all items were marked down 40% off of the original price. Lily purchased a purse that was originall $220.00. What is the price of the purse after the discount?
Answer:
$132
Step-by-step explanation:
40% off means it is actually 60% of the regular price.
Thus, you will multiply the original (220) by .6 (this means 60 percent)
and you will get 220*.6=132
Answer:
132
Step-by-step explanation:
First, find 40% of 220, which is 88 (220 * 0.4). Since everything was marked down, 40% was taken off the original price. So, 220 - 88 = 132
Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them
Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.
Step-by-step explanation:
By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.
which statements are true about the reflectional symmetry of a regular heptagon? select two options.
There are seven lines of symmetry in a heptagon. In a heptagon, the sides and angles are equal. Each vertex and the center of a regular heptagon are where the line of symmetry crosses.
What is Reflectional Symmetry ?
Any symmetry with regard to a reflection is referred to as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry. In other words, a figure with reflectional symmetry does not alter when it is reflected. There is a line/axis of symmetry in 2D and a plane of symmetry in 3D. When a form or pattern is mirrored in a line of symmetry or a mirror line, this is known as reflective symmetry. The reflected form will have the same size, distance from the mirror line, and other characteristics as the original shape. When a figure can be split into two equal halves that match, it has line symmetry or reflection symmetry.
If a figure can be reflected over a line and retain its original appearance, it possesses reflection symmetry. If a figure can be altered while maintaining its appearance, it possesses symmetry.
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Complete question
Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of reflectional symmetry. A line of symmetry will connect 2 vertices. A line of symmetry will connect a vertex and a midpoint of an opposite side. It has 7-fold symmetry. A line of symmetry will connect the midpoints of 2 opposite sides.
Plz help quick pls Brainly
Answer:
x is greater than or equal to -26
Step-by-step explanation:
We can use distributive property to solve the equation.
-6(x+4) in distributive property is: -6x-24
-6x-24 is less than or equal to -5x+2
+6x +6x
-24 is less than or equal to x+2
-2 -2
-26 is less than or equal to x
This means x is greater than or equal to -26
On the graph you would put a closed circle on -26 and point to the right.
Hope this helps! Good luck on your quiz!
what is 50 divided by 1
Which expression is equivalent to 4√6/3
Answer:
\(\frac{4}{3}{\sqrt3}\)
Step-by-step explanation:
The question seem incomplete;
The full question is
Which expression is equivalent to 4√6/3√2
Given
4√6/3√2
Required
Find equivalent
\(4\sqrt6/3\sqrt2\)
Rewrite Expression
\(\frac{4\sqrt6}{3\sqrt2}\)
Expand the above expression
\(\frac{4\ *\ \sqrt6}{3\ * \ \sqrt2}\)
Further split the fraction
\(\frac{4}{3}\ *\ \frac{\sqrt6}{\sqrt2}\)
Using rule of surds;
\(\frac{\sqrt a}{\sqrt b} = \sqrt{\frac{a}{b}}\)
So, the above expression becomes
\(\frac{4}{3}\ *\ \sqrt{\frac{6}{2}}\)
\(\frac{4}{3}\ *\ {\sqrt3}\)
\(\frac{4}{3}{\sqrt3}\)
At this stage, the expression cannot be further simplified;
Hence, 4√6/3√2 = \(\frac{4}{3}{\sqrt3}\)
HURRY!! 20 POINTS!! What is the solution set of the equation x+3/x+2=3+1/x? Note: x≠0, −2
{2} {−1, 2} {−1, 1} {−1}
The solution set for the given equation is x=-1 .
Solution set is written as {-1}
for better understanding check the calculation below.
Calculation :We need to solve the given equation
\(\frac{x+3}{x+2} =3+\frac{1}{x}\)
To solve any equation we take LCD.
LCD of the given equation is x(x+2)
Multiply LCD with each term to remove the denominator
\(\frac{x+3}{x+2}\cdot x(x+2) =3\cdot x(x+2)+\frac{1}{x}\cdot x(x+2)\\x(x+3)=3x(x+2)+x+2\\x^2+3x=3x^2+6x+x+2\\\)
Subtract x^2 and 3x from both sides of the equation to get 0 on the left side of the equation
\(0=3x^2+6x+x+2-x^2-3x\\0=2x^2+4x+2\\\)
Now divide the whole equation by 2 and then we factor it
\(0=x^2+2x+1\\0=(x+1)(x+1) \\x+1=0\\x=-1\)
The solution set for the given equation is x=-1
Solution set is written as {-1}
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Answer:
-1
Step-by-step explanation:
Solve the given portion 4/x=3/6 x=?
Answer:
8
Step-by-step explanation:
4/x=3/6
4=3/6x
4*6=3x
24/3=x
8=x
Please mark me as brainliest
The coordinates of then vertical of parallelograms WXYZ are W(-2,3) , X(-1,0) , Y(5,2) and Z (4,5) the slope of
I’ll give brainliest
Answer:
The slope of WX and WY
Step-by-step explanation:
For us to have a rectangle, the angles at the edges equal 90
What this mean is that the width and the length are at 90 degrees
Hence, we can say that they are perpendicular to one another
Thus, we can calculate the slopes of both to drive home our point
Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle
The booster club now raises $0.41 for each pom pom they sell.
Write and solve an equation to find how many pom poms they need to sell to raise fifty dollars.
(will give points if answered)
when i multiply it by 6 and subtract 29, the answer is 37.
what is my number?
Let the required number be "x"
According to the statement:
x(6) - 29 = 37
6x - 29 = 37
6x = 37 + 29
6x = 66
x = 66/6
x = 11
Therefore, the required number is 11.
when i multiply it by 6 and subtract 29, the answer is 37.
what is my number?
SOLUTION:▶️Let the required number be x.
According to the question the equation will form like:
▶️6x - 29 = 37
▶️6x = 37+29 (transposing x to RHS)
▶️6x = 66
▶️x = 66/6 (transposing 6 to RHS)
▶️x = 11
VARIFICATION:According to the question :
▶(️11×6) - 29
▶️ 66 - 29
▶️37
Hence varified..
ANSWER:11
The total cost of producing a type of car is given by C(x)=21000−90x+0.1x2, where x is the number of cars produced. How many cars should be produced to incur minimum cost? Please explain how you got the answer, THANKS!
Answer: To find the number of cars that should be produced to incur minimum cost, we need to find the minimum value of the cost function C(x). Since C(x) is a quadratic function, it will have a minimum value, which is either a relative minimum or an absolute minimum. To find the number of cars that should be produced to incur the minimum cost, we will find the derivative of C(x) and set it equal to zero.
To find the derivative of C(x), we can use the power rule, which states that the derivative of x^n is n*x^(n-1).
The derivative of C(x) = 21000 - 90x + 0.1x^2 is
C'(x) = -90 + 0.2x
To find the minimum cost, we set C'(x) equal to zero and solve for x:
-90 + 0.2x = 0
0.2x = 90
x = 450
So, producing 450 cars will incur the minimum cost.
To verify that this is indeed a minimum, we can find the second derivative of C(x) which is 0.2, since the second derivative is positive, we can confirm that x = 450 is a relative minimum.
Alternatively, we can substitute x = 450 into the cost function and find the minimum value, which is C(450) = 21000 - 90(450) + 0.1(450)^2, which is less than any other value of C(x) for x≠450.
Therefore, to incur the minimum cost, 450 cars should be produced.
Step-by-step explanation:
Compute the area of triangle, if x equals 3 less than 6
Answer:
C
Step-by-step explanation:
I think its c because it said x = 3 less than 6, what is three less than 6? 3 so if you were to plug in 3 for x so bc = 3 and ab = 6 you multiply those two together but when you are doing area for a triangle its 1/2 bh so how i do this is i multiply 6 and 3 and get 18 and divide that by 2 and my final answer is 9. Hope this works, let me know if it doesnt!
A simple difference is also called a.an interaction effect. b.a marginal means difference. c.a factorial design. d.a main effect.
A simple difference is also called a marginal means difference. Option B
In experimental design and statistical analysis, a simple difference refers to the comparison of means between two groups or conditions. It represents the difference in average scores or values between the groups being compared. It is often used to assess the impact of an independent variable on a dependent variable by examining the variation in means between different levels of the independent variable.
The term "marginal means difference" emphasizes that the comparison is based on the average or marginal means of the groups being compared. It helps to distinguish it from other types of differences, such as interaction effects or main effects, which involve more complex comparisons or analyses in factorial designs.
Overall, a simple difference or marginal means difference is a straightforward way to evaluate the effect of an independent variable on a dependent variable by comparing the average values between different groups or conditions.
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Use synthetic division to find p where f(x) = 2x ^ 3+ 5x ^ 2 + yx+ 8 and f(- 2) = 10
Given the function f(x):
\(f(x)=2x^3+5x^2+px+8\)And f(-2) = 10
So, we will substitute with x = -2
\(2(-2)^3+5(-2)^2+p(-2)+8=10\)solve the equation to find p
\(\begin{gathered} 2(-8)+5(4)-2p+8=10 \\ -16+20-2p+8=10 \\ -2p+12=10 \\ -2p=10-12 \\ -2p=-2 \\ p=\frac{-2}{-2}=1 \end{gathered}\)So, the answer will be the first option p = 1
A laptop has a listed price of $807.95 before tax. If the sales tax rate is 9.75%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent,as necessary.
Solve for x. Figures are not necessarily drawn to scale.
Check the picture below.
\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)
find a singular value decomposition for the given matrix: 1 1 −1 1 1 −1 you must show all of your work to get full points.
The singular value decomposition is a factorization of a matrix into three separate matrices. It has many applications in various fields, including data compression, image processing, and machine learning.
To find the singular value decomposition (SVD) of the given matrix, let's go through the steps:
1. Begin with the given matrix:
1 1
-1 1
-1 1
2. Calculate the transpose of the matrix by interchanging rows with columns:
1 -1 -1
1 1 1
3. Multiply the matrix by its transpose:
1 -1 -1 1
1 1 1 1
-1 1 1 -1
4. Calculate the eigenvalues and eigenvectors of the resulting matrix. This step involves finding the values λ that satisfy the equation A * v = λ * v, where A is the matrix.
5. Normalize the eigenvectors obtained in step 4 to obtain orthonormal eigenvectors.
6. The singular values are the square roots of the eigenvalues.
7. Create the matrix U by taking the orthonormal eigenvectors obtained in step 5 as columns.
8. Create the matrix Σ by arranging the singular values obtained in step 6 in a diagonal matrix.
9. Create the matrix V by taking the normalized eigenvectors obtained in step 5 as columns.
10. Finally, write the answer in the form of SVD: A = U * Σ * \(V^T\), where U, Σ, and \(V^T\) represent the matrices from steps 7, 8, and 9 respectively.
To find the singular value decomposition (SVD) of a matrix, we need to perform several steps. These include finding the eigenvalues and eigenvectors of the matrix, normalizing the eigenvectors, calculating the singular values, and creating the matrices U, Σ, and V. The SVD provides a way to factorize a matrix into three separate matrices and has many practical applications.
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HELPPP PLEASE!!!!!! answer all
Answer:
anyyyy girrllll online hereeeere m soo bored
The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.
The number of bears living in the area after 17 years is; 22555
How to solve exponential functions?We are given the function;
f(t) = 103/(1 + 26e^(-0.31t))
Where f(t) is a function that models the number of bears living in the area after t period of years.
Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;
f(17) = 103/(1 + 26e^(-0.31*17))
f(17) = 103/0.00456653759
f(17) ≈ 22555 bears
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Help with these questions would help tremendously.
Answer:
1) x = 20
2) Try it yourself based on #1
3) D. BE (it a a segment, it is on the hypotenuse, and it is adjacent to AB)
Step-by-step explanation:
I'll do the first one and you can try the second one
1) Since the two triangles are similar, corresponding parts are similar (CPSP - corresponding parts of similar polygons)
2) Since the corresponding sides are similar, \(\frac{AX}{AB} = \frac{XY}{BC}\)
3) We know that AX is 12, AB is 20 (AX+XB=12+8 because of pwp -> part whole postulate), XY is 17, and BC is x
4) Substitute these values into the equation from step 2
\(\frac{12}{20} = \frac{12}{x}\)
5) Cross-multiply to get 12x = 12(20)
6) Solve
12x = 240
x = 20
A country imports in the vicinity of 100 million litres of diesel fuel (ADO) for use in diesel vehicles and 70 million litres of petrol fir petrol vehicles. It also produces molasses and cassava, which are feedstock for the production of ethanol, and coconut oil (CNO) that can be converted to biodiesel (CME) via trans-esterification.
a) Calculate the volume of B5 that can be produced from the coconut oil produced in Fiji, and the total volume of E10 that can be produced from all the molasses and the cassava that the country pr
The percentage of B5 produced from coconut oil is 0.045 X% of the imported diesel fuel. The percentage of E10 produced from molasses and cassava is 0.1143 Y% of the imported petrol.
To calculate the volume of B5 (a biodiesel blend of 5% biodiesel and 95% petroleum diesel) that can be produced from the coconut oil produced in Fiji, we need to know the total volume of coconut oil produced and the conversion efficiency of the trans-esterification process.
Let's assume that the volume of coconut oil produced in Fiji is X million litres, and the conversion efficiency is 90%. Therefore, the volume of biodiesel (CME) that can be produced from coconut oil is 0.9X million liters. Since B5 is a blend of 5% biodiesel, the volume of B5 that can be produced is 0.05 × 0.9X = 0.045X million liters.
To calculate the total volume of E10 (a gasoline blend of 10% ethanol and 90% petrol) that can be produced from the molasses and cassava, we need to know the total volume of molasses and cassava produced and the conversion efficiency of ethanol production.
Let's assume that the total volume of molasses and cassava produced is Y million liters, and the conversion efficiency is 80%. Therefore, the volume of ethanol that can be produced is 0.8Y million liters. Since E10 is a blend of 10% ethanol, the total volume of E10 that can be produced is 0.1 × 0.8Y = 0.08Y million liters.
The percentage of B5 produced from coconut oil is (0.045X / 100) × 100% = 0.045 X% of the imported diesel fuel.
The percentage of E10 produced from molasses and cassava is (0.08Y / 70) × 100% = 0.1143 Y% of the imported petrol.
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The complete question is:
A country imports in the vicinity of 100 million litres of diesel fuel (ADO) for use in diesel vehicles and 70 million litres of petrol fir petrol vehicles. It also produces molasses and cassava, which are feedstock for the production of ethanol, and coconut oil (CNO) that can be converted to biodiesel (CME) via trans-esterification.
a) Calculate the volume of B5 that can be produced from the coconut oil produced in Fiji, and the total volume of E10 that can be produced from all the molasses and cassava that the country produces annually. Express your results as the percentages of the respective imported fuel.