The correct value of the expression is, 10.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 5/8 × 16
Now,
Simplify the expression as;
⇒ 5/8 × 16
⇒ 5 × 2
⇒ 10
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What is the solution to the inequality |2x 3| < 7? a. 4 < x < 10 b. –5 < x < 2
c. x < 4 or x > 10
d. x < –5 or x > 2
Answer:
answer is d
Step-by-step explanation:
need help I can help with Spanish hw (I speak fluent Spanish)
Answer:
Step-by-step explanation:
So how you answer this question is the 3rd one
Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin
Use the polygon tool to graph the triangle.
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The image of the triangle after the dilation with a scale factor of 2 is graphed on the image shown at the end of the answer.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, to graph the image of triangle ABC on this problem, we have to:
Identify the coordinates of the vertex.Multiply each coordinate of each vertex by the scale factor.The coordinates of the vertices of the original triangle are given as follows:
(0,0), (-4,-2), (-4,4).
The scale factor for the dilation is is given as follows:
k = 2.
Then the coordinates of the vertices of the image of the triangle after the dilation are given as follows:
(0,0), (-8,-4), (-8,8).
The triangle with these three vertices is graphed on the image presented at the end of the answer.
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Find the distance between the points (
–
10,13) and (20,13).
According to the definition of distance, the distance between the points (10, 13) and (20, 13) is 10.
Distance between two pointsThe distance between two points is equal to the length of the segment that joins them.
Given the coordinates of two different points (x₁, y₁) and (x₂,y₂), the expression that allows calculating the distance "d" between two different points on the Cartesian plane is:
d= √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance in this caseIn this case, you know:
(x₁, y₁)= (10, 13)(x₂,y₂)= (20, 13)Substituting in the definition of distance:
d= √[(20 -10)² + (13 -13)²]
Solving:
d= √[10² + 0²]
d= √10²
d= √100
d= 10
Finally, the distance is 10.
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An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made, then the unit cost is given by the function C (x) = 0,5x2-180x + 35,646. What is the minimum unit cost? Do not round your answer. Unit cost :50 x 5 ?
The minimum unit of cost is 19446.
The function C (x) = [tex]0.5x^{2}-180x+35646[/tex].
Minimum point: The minimum point of a function can be defined as the point at which a function takes its lowest value. This point is found by equating the derivative of the function to zero and solving.
For a quadratic equation of the form
f(x)= [tex]ax^{2}+bx+c[/tex]
The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients.Minimum occur when a is positive and it occurs at x=[tex]\frac{-b}{2a}[/tex]
Here cost function quadratic with a= 0.5 , b= -180
So minimum is at
[tex]x=\frac{--180}{2*0.5}[/tex]
=180
So minimum cost is when x=180. So find C(180) to get minimum unit cost .
C(180)=[tex](0.5)*(180)^{2}-180*180+35646[/tex]
=19446
Therefore, the minimum unit of cost is 19446.
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How are rays and angles related? a ray , and an angle is two . the measure of an angle related to the length of its sides. so, the measure of an angle the same at all distances from its vertex.
Rays and angles are related because when two rays share a common endpoint, they form an angle
What is an angle?An angle's measure serves as its definition; it is independent of the angle's side lengths. A ray is a segment of a line where one point is fixed and the other has no end.
The combination of two rays with the same endpoint is called an angle. The vertex of the angle is the common endpoint of the rays, which are referred to as the sides of the angle. The distance between the rays is how an angle is measured.
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Complete question
How are rays and angles related?
How to graph quadratic equation
Answer:
Below
Step-by-step explanation:
Pick a bunch of values of 'x' .....calculate the corresponding 'y' values then plot the ordered pairs and connect the dots with a smooth curved line ...
evaluate the iterated integral. π 0 1 0 √1 − z2 0 z sin(x) dy dz dx
We can evaluate the given iterated integral to be -πcos2(x) (z - 0 ).
We start with the innermost integral: 0 √1 − z2 0 z sin(x) dy. We can simplify this expression to 0 sin(x) ( √1 − z2 - 0 ). We then integrate this expression with respect to y, yielding sin2(x).
Next, we move on to the middle integral, which is sin2(x) dz. We can easily integrate this expression with respect to z and get sin2(x) (z - 0 ).
Finally, we take the outermost integral, which is sin2(x) (z - 0 ) dx. We can integrate this expression with respect to x and get -cos2(x) (z - 0 ).
Putting everything together, we can evaluate the given iterated integral to be -πcos2(x) (z - 0 ).
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Please solve 8 I can’t figure this out
Answer:
x = 15
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{MP}{XZ}[/tex] = [tex]\frac{NP}{YZ}[/tex] ( substitute values )
[tex]\frac{x+5}{30}[/tex] = [tex]\frac{4x-10}{75}[/tex] ( cross- multiply )
30(4x - 10) = 75(x + 5) ← distribute parenthesis on both sides
120x - 300 = 75x + 375 ( subtract 75x from both sides )
45x - 300 = 375 ( add 300 to both sides )
45x = 675 ( divide both sides by 45 )
x = 15
Find the exact values of cos^-1(1/2) on the unit circle
The value of cos⁻¹(1/2) on the unit circle is 60°.
What is unit circle?A circle with a radius of one unit is referred to as a unit circle. In the Cartesian coordinate plane, the unit circle is typically depicted. The second-degree equation with the variables x and y is used to algebraically represent the unit circle.
Given:
cos⁻¹(1/2)
As we know that for the unit circle, the value of the radius is 1,
Calculate the value of cos x as shown below,
cos x = radius of the circle / √(r² + p²)
cos x = 1 / √(1² + 1²)
cos x = 1 / √2
x = cos⁻ (1 / √2)
x = 45°
Thus, cos⁻¹(1/2) = 60°
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Calculate 324•17 and give your answer in standard form, correct to 3 significant figures
Answer:
6,340
Step-by-step explanation:
Follow the steps in the image.
-Hope this helped
How do you find the 6th angle of a hexagon?
If the measure of the five angles are 140° each , then the measure of sixth angle of hexagon is 20° .
What is a Hexagon ?
The hexagon is defined as the two dimensional closed polygon that have six sides, 6 vertices and 6 angles .
the measure of the 5 angles of hexagon is = 140° each ;
which means that the sum of measure of 5 angles is = [tex]5 \times 140[/tex] = 700° ;
and we know that the sum of all 6 angles of the hexagon is 720° ;
let the measure of the sixth angle be = x ;
So , [tex]700 + x = 720[/tex] ;
⇒ [tex]x = 720-700 = 20[/tex] .
Therefore , the measure of sixth angle is 20° .
The given question is incomplete , the complete question is
A hexagon has five angles that measure 140° each. What is the measure of the sixth angle ?
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can someone answer this question really quick
The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
1. Gain 25x yards.
2. Gain 0.9y yards.
3. Lose 12y yards.
4. Lose 5.2x yards.
What is the net yardage for these four plays?
Enter your answer as an expression, like this: 42x+53y
Answer:
19.8x-11.1y
Step-by-step explanation:
1) We can rephrase the equation as:
25x+0.9y-12y-5.2x
2) Simplify:
19.8x-0.9y-12y
3) Solve: 0.9y-12y= -11.1y
And the just put that next to 19.8 and you are done
USING YOUR MAT
5. The local weather forecaster on the radios stated that the low for tonight will be 12 degrees
below zero. What could she have stated the low would be in terms of a negative temperature
Answer:
--12°
Step-by-step explanation:
12 below can be written as the negative number -12
Use the quadratic formula to find the complex solutions to the equation 10x²-x+9
= 0.
=
OA)
OB)
OD)
X =
-1+√359i
20
-1± √359i
20
1± √359/
2
1± √359/
20
Answer:
[tex]x = \frac{1 +\sqrt{359}i }{20} , x = \frac{1 -\sqrt{359}i }{20}[/tex]
Step-by-step explanation:
Given equation is
[tex]10x^2 - x + 9 = 0[/tex]
The standard Solution of a quadratic equation is:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
given a = 10, b = -1, c = 9, so
[tex]x = \frac{1 +- \sqrt{(-1)^2 - 4*10*9} }{20}\\x = \frac{1 +- \sqrt{1 - 360} }{20}\\x = \frac{1 +- \sqrt{-359} }{20}[/tex]
So roots are:
[tex]x = \frac{1 +\sqrt{359}i }{20} , x = \frac{1 -\sqrt{359}i }{20}[/tex]
A certain principal has been invested into a savings account at the specified interest rate and interest type. An equation can be created to model that savings account. Which of the following statement is true?
A. An investment of $300 gaining simple interest at a rate of 2% can be modeled by the equation B = 300 + 2t.
B. An investment of $300 gaining compound interest at a rate of 4% can be modeled by the equation B = 300 x 1.04^t
C. An investment of $300 gaining simple interest at a rate of 6% can be modeled by the equation B = 300 + 60t
D. B. An investment of $300 gaining compound interest at a rate of 4% can be modeled by the equation B = 300 x 1.6^t
The solution is Option B.
An investment of $300 gaining compound interest at a rate of 4% can be modeled by the equation B = 300 x ( 1.04 )ⁿ , where n = t
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the amount to be invested be represented as P
The value of P = $ 300
Let the final amount be represented as A
Let the time period be = n = t
Let the rate of interest be represented as r = 4 %
r = 4/100
The value of r = 0.04
Now , the compound interest is calculated by the equation ,
A = P ( 1 + r/n )ⁿᵇ
Substituting the values in the equation , we get
A = 300 ( 1 + 0.04 )ⁿ
On simplifying the equation , we get
A = 300 ( 1.04 )ⁿ
where n = t = number of years
Hence , the equation is 300 x 1.04^t
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The Valley High Marching Band is selling candy bars for a fundraiser. Sierra sold some candy bars. Breanna sold twice as many candy bars as Sierra. Together Sierra and Breanna sold no less than 45 candy bars. Write an inequality to represent this situation. Give three possible solutions for how many candy bars Sierra sold.
Answer:
S ≥ 15
Step-by-step explanation:
Let S be the number of candy bars Sierra sold and B be the number of candy bars Breanna sold.
We know that S + B ≥ 45 and B = 2S.
Substituting the second equation into the first equation, we get:
S + 2S ≥ 45
3S ≥ 45
S ≥ 15
Three possible solutions for how many candy bars Sierra sold are:
Sierra sold 15 candy bars
Sierra sold 16 candy bars
Sierra sold 17 candy bars
GEOMETRY HELP
Please
Answer: 4.68555772
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
Sarah is working in her parent's candy shop making chocolate covered strawberries. She gets paid $50 a week, in addition to $2 for every chocolate covered strawberry she makes. She made $225 this week. Write an equation to show how many strawberries Sarah made this week.
A.50 - 2x = 225
B.50x - 2 = 225
C.50 + 2x = 225
D.50x + 2 = 225
Answer:
a
Step-by-step explanation:
a
9
Ten less than the quotient of a number and 4 is 6.
Which equation models the sentence?
©10=8+4=6
Activity Details
OFT
3
6 67
8
The correct equation which models the sentence will be;
⇒ x/4 - 10 = 6
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''Ten less than the quotient of a number and 4 is 6.''
Now,
Since, The algebraic expression is,
''Ten less than the quotient of a number and 4 is 6.''
Let a number = x
Hence, The mathematical expression is,
⇒ x/4 - 10 = 6
Solve for x as;
⇒ x/4 = 10 + 6
⇒ x/4 = 16
⇒ x = 16 × 4
⇒ x = 64
Thus, The value of number = 64.
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What is 1 + 1
hurry im doing a very important test pls
Answer:
Step-by-step explanation:
1+1=2 hope this helps
The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) = 500 + 1000g. The number of games produced in w weeks is given by the function g(w) = 2w. Which of the following expressions represents the total cost of games after w weeks? (5 points)
1000 + 2000g
500 + 2000w
1000w + 2000wg
500 + 1000g + 2w
The expression that represents the total cost of games after w weeks is 1000w + 2000wg.
How to represent the expression of the total cost?The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) = 500 + 1000g. The number of games produced in w weeks is given by the function g(w) = 2w.
The expression that represents the total cost of games after w weeks can be represented as follows;
Therefore,
v(g) = 500 + 1000g
g(w) = 2w.
total cost = v(g) × g(w)
total cost = (500 + 1000g)2w
Therefore,
total cost = 1000w + 2000gw
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15 points, Complete the statement based on the following information.
Can you please re-post a clear image to get the correct and instant answer?
6,428 to the nearest hundred
John’s golf score was 4 less than 2/3rds of Sam’s. If the sum of their score was 100, find Sam’s score
Answer:
62.4
Step-by-step explanation:
Sam's score= x
John's score= 2/3x-4
john's score + sam's score=100
x+2/3x-4=100
5/3x-4=100
5/3x=104
5x=312
x=62.4
Sam's score is 62.4
John's score is 37.6
HELP ME WITH GEOMETRY PELASE
Answer:
4
Step-by-step explanation:
This is a right triangle.
We can find the value of the missing side, hypotenuse, using Pythagoras theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
The sum of square value of both legs is equal to the square value of hypotenuse.[tex] {2}^{2} + ({2 \sqrt{3} )}^{2} = {c}^{2} [/tex]
Find the square value of each expression[tex]4 + 12 = {c}^{2} [/tex]
Find the sum[tex]16 = {c}^{2} [/tex]
Find the root of both sides4 = c
What are the domain and range of the logarithmic function f/x log?
The domain of the logarithmic function f(x)=log(x) is all real numbers x>0. The range of the logarithmic function is all real numbers y>-∞.
The domain of a logarithmic function f(x)=log(x) is all real numbers x>0. This is because the logarithm function is not defined for x ≤ 0, as log(x) is undefined for x ≤ 0.
The range of the logarithmic function is all real numbers y>-∞. This is because the logarithm of a real number is always negative and approaches negative infinity as x approaches 0. Therefore, the range of a logarithmic function is all real numbers y>-∞.
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Analysts at the Milk Company calculated the average price of a gallon of its milk over 10 years. The following table shows the years since 2010 and the average price of a gallon of milk at that time.
Years (since 2010) 0 1 2 3 4 5 6 7 8 9
Price (in dollars) 3.16 3.43 3.37 3.36 3.42 3.21 3.24 3.01 2.85 3.05
Which of the following representations is most appropriate for showing how the price changed each year?
The representation that is the most appropriate for showing how the price changed each year is given by:
The second graph.
How to choose the correct graph?There are two steps to identify the correct graph, as follows:
Obtain the input and the output variable.Classify the input variable as discrete or continuous.The input and the output variables are given as follows:
Input variable: Number of years since 2010.Output variable: Price of the gallon of milk.As the input variable is graphed on the horizontal axis, while the output variable is graphed on the vertical axis, the first and the fourth graphs are incorrect, as they have each variable on the wrong axis.
The price keeps changing throughout the years, that is, the price does not remain constant throughout the year, meaning that the domain is continuous, and thus the graph is composed by a solid line.
This means that the second graph is the correct graph in this problem. (the solid, approximately horizontal line).
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Write a rule for the pattern below. Draw the next figure in the pattern. How many circles will the next figure in the pattern have?
Answer:
15 circles
The pattern is 1,3,6,10....... which is increasing One digit for each pattern
Consider the relation below
Is the relation a function?
Is the relation a one to one function ?
Is the inverse of the relation below itself a function?
The statements that complete the blanks are underlined as follows
Is the relation a function? YesIs the relation a one to one function ? NoIs the inverse of the relation below itself a function? NoIs the relation a function?From the question, we have the following parameters that can be used in our computation:
The graph
The given graph is a quadratic graph
All quadratic graphs are functions
So, the relation is a function
Is the relation a one to one function ?This statement is false,
This is so because one y value points to two different x values, as evident on the graph
Is the inverse of the relation below itself a function?As a general rule, the inverse of a quadratic function is not a function
This means that the inverse of the given relation is not a function
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