Answer:
532
Step-by-step explanation:
594 [monkeys] - 62 [birds] = 532
Point C is the midpoint of AB and point B is between points A and D . If AD=17 and BD=9 , what is CD ?
CD=
Answer: 13 units
Step-by-step explanation:Given that Point C is the midpoint of AB and point B is between points A and D. If AD = 17 and BD = 9
According to definition midpoint, AC = CB
According to definition of segment addition postulate, AD = AB + BD
AB = AD - BD
AB = 17 - 9
AB = 8
Again, AB = AC + CB
Therefore, CB = AB/2
CB = 8/2 = 4
Now, CD = CB + BD = 4 + 9
CD = 13 units
Hence, length of CD = 13 units
a local ice skating rink wishes to determine the age of its customers. the ages of customers are summarized in the relative frequency table below. what is the cumulative relative frequency of patrons, aged 47 or younger?
a local ice skating rink wishes to determine the age of its customers. then 10% of lottery winners are 70 years or older
Age____ Freq__R/freq____ Cumm Rel Freq
[20,29]___3____ 0.1________ 0.1
[30,39]__ 10__ 0.3333_____ 0.4333
[40,49]__ 2__ 0.0667______ 0.5
[50,59]__ 7 __0.2333 _____0.7333
[60,69]__ 4 ___0.1333 ____0.8666
[70,79]___ 3 ____0.1 ______0.9666
[80,89]___ 1 ___0.0333 ____0.9999
A.) What is the frequency of lottery winners of age between 19 and 40?
Frequency = (3 + 10) = 13 winners
B.) What percentage of lottery winners are 70 years or older?
From the relative frequency table = 0.1 (3/30) = (0.1 * 100%) = 10%
complete question is
Given the frequency distribution for the data, Age Frequency Relative Frequency Cumulative Relative Frequency [20,29] 3 0.1 0.1 [30,39] 10 0.3333 0.4333 [40,49] 2 0.0667 0.5 [50,59] 7 0.2333 0.7333 [60,69] 4 0.1333 0.8666 [70,79] 3 0.1 0.9666 [80,89] 1 0.0333 0.9999 What is the frequency of lottery winners of age between 19 and 40? What percentage of lottery winners are 70 years or older?
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a factory makes and sells cartons of chewing gum. the factory produces at most 500 cartons per day. each carton sells for $25. which of the following best describes the domain of the function that represents f(x), the total sales in dollars, for making x cartons in one day? a. the domain is the set of all whole numbers . b. the domain is the set of all real numbers . c. the domain is the set of all real numbers . d. the domain is the set of all multiples of 25 from .
A function's domain is defined as the set of all possible input values. The domain here is 0 ≤ x ≤ 500 because the input value is x.
Given;
Let x be the overall number of cartons produced in a single day. due to the factory's daily production limit of 500 cartons.
Let P(x) denote the revenue generated by the sale of x cartons. Since a carton costs $25, the following follows;
P(x) = 25x
P(0) = 25(0) = 0 for x = 0
P(500) = 25(500) = 12500 when x = 500
The following are possible values for P(x);
0 ≤ P(x) ≤ 12500
Therefore, the collection of all potential input values is referred to as a function's domain. Since the input value in this instance is x, the domain is 0 ≤ x ≤ 500
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1. (5x10^-4)x(3x10^-5) in standard form
2. (2.8x10^9) divided by (7x10^5) in standard form
3. (2x10^-14) divided by (4x10^-6) in standard form
the given numbers in standard form can be expressed as :
1. 1.5 × [tex]10^-10[/tex]
2. 4 × [tex]10^1 ^3[/tex]
3. 5 × [tex]10^-^2^1[/tex]
What do you mean by standard form ?Standard form refers to any number that can be expressed as a decimal number and falls within the range of 1.0 and 10.0 when multiplied by a power of 10. The standard form of 123,000,000 is 1.23 108 because, if you look closely, 1.23 is a decimal number between 1.0 and 10.0.
1. The given numbers are (5x10^-4)x(3x10^-5)
On multiplying the natural numbers first we get :
15 × [tex]10^{-9}[/tex]
1.5 × [tex]10^-10[/tex]
2. The given numbers are (2.8x10^9) and (7x10^5)
on dividing them we get
0.4 ×[tex]10^1 ^4[/tex]
4 × [tex]10^- ^1[/tex] ×[tex]10^1 ^4[/tex]
4 × [tex]10^1 ^3[/tex]
3. The given numbers are (2x10^-14) divided by (4x10^-6)
Thus after dividing the natural numbers we will get
0.5 ×[tex]10^- ^2 ^0[/tex]
On further simplifying we get
5 × [tex]10^ -^1[/tex] ×[tex]10^- ^2 ^0[/tex]
5 × [tex]10^-^2^1[/tex]
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Find the length of the third side. If necessary, round to the nearest tenth.
13
15
The length of the third side of the triangle is 2√14 units.
According to the question,
We have the following information:
Note that the complete question will be related to the right angled triangle with hypotenuse 15 units and perpendicular 13 units.
(More to know: Pythagoras theorem can only be used in right-angled triangle.)
We can use the Pythagoras theorem to find the base of the right-angled triangle.
Let's denote the base with b, perpendicular with p and hypotenuse with h.
[tex]b^{2} = h^{2}- p^{2}[/tex]
[tex]b^{2} = 15^{2} -13^{2}[/tex]
[tex]b^{2} }[/tex] = 225-169
b = √56
b = 2√14 units
Hence, the length of the third side of the triangle is 2√14 units.
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what is 3/4x(5/6-4/23)=43
Answer: 86 86/91 or 7912/91
Work: So you multiply 3/4x by what is in the parenthesis like this: 3/4x*5/6-3/4x*4/23. and you get 5/8x-3/23x=43. And then you simplify to get 91/184x=43 then u multiply both sides by 184 to get rid of the fraction. and you get 91x=7912. then you divide both sides by 91 and you get x=7912/91 or 86 86/91
Tamisha gave the store clerk $40.00 to pay for 2 pairs of leggings. The store clerk gave her
$7.12 in change. Each pair of leggings costs the same amount.
What is the cost in dollars and
cents for each pair of leggings?
Answer:23
Step-by-step explanation:
Part A
Rebecca's house cost $100000 in the year 2000.
In 2008 she sold it for $210000.
Was the change in price a positive or negative change?
Answer:
Part B
What was the percentage of change in the price of the house?
Answer:
Im guessing it would be a positive change
Step-by-step explanation:
part a had the cost of $100,000 while part b had the cost of $210,000
therefore, part b increased $110,000 from 2000 to 2008.
this is my guess.
ASAP WILL GIVE 100 PTS
The line segment graphed on the coordinate plane represents a roof with several triangular supports. Each support is triangular, with a horizontal board that starts on the edge of the roof and connects with a vertical board that ends on the edge of the roof as shown.
(2,1)(6,3)
Does each support have the same starting coordinates? Explain.
Does each support have the same ending coordinates? Explain.
Does each support have the same change in x-values? Explain.
Does each support have the same change in y-values? Explain.
Does each support have the same ratio of change in y-values over change in x-values? Explain.
Answer:a) No, the first support starts at (0,0) and the 2nd one starts at (2,1)
b) No, first one ends at (2,1) 2nd one ends at (6,3)
c) No, 2 ( 0 to 2) does not equal 4 ( 2 to 6)
d) No, 1 ( 0 to 1) does not equal 2 (1 to 3)
e) Yes, this is the slope of the diagonal line: 1/2
MARK BRAINILEST I GOT SO CONFUSED BUT I UNDERSTAND NOW.... Peace Out?
Step-by-step explanation:
) Work out (6 x 10²) + (3 x 10^5) Give your answer in standard form.
Finding Angle Measures When Parallel Lines Are Cut By a Transversal
The measures of the following angles are:
∠6 = 124°, ∠2 =124°, ∠3 = 124° ∠5 = 56°, ∠7 = 124° ∠1 = 56°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
∠4 = 56° ( corresponding angles are equal)
∠1 =∠4 ( vertically opposite angles are equal)
∠1 = 56°
∠7 + 56° = 180 ( angles on a straight line sum up to 180°)
∠7 = 180 - 56
∠7 = 124°
∠7 = ∠6 ( vertically opposite angle are equal)
∠6 = 124°
∠3 = ∠6 ( alternate angles are equal)
∠3 = 124°
∠2 = ∠3 ( vertically opposite angle)
∠2 = 124°
∠5 = 56° ( vertically opposite angles)
The unknown angles are: ∠1 = 56° ∠2 = 124°, ∠3 = 124°, ∠4 = 56°, ∠5 = 56°, ∠6 = 124° ∠7 = 124°
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Find the value of x in the triangle below:
Answer:
x=12
Step-by-step explanation:
turn into and equation because angles in a triangle add up to 180°
so
6x-19+3x+7+84=180
collect like terms
9x+72=180
solve to find 'x'
9x=108
x=12
a student earns Php 280.00 for a 5 hour shift on his summer job. The amount of money he earns varies directly to the number of hours worked. find the constant k, and the amount of money , he will earn for an 8-hour shift
Answer:
Below
Step-by-step explanation:
k = 280 / 5 = Php 56 /hr
money earned = k x where x = # of hours
For 8 hours : money earned = 56 * 8 = Php 448
Callie ha a rope that i 14.7 inche long. She cut the rope into 3 piece. If each piece i the ame length, how long i each piece of rope?
Answer:
I believe it would be 4.9 inches
Step-by-step explanation:
14.7 divided by 3
Answer: 4.9 inches
Step-by-step explanation: 14.7 divided by 3 is 4.9
solve each problem using elimination
-7x-y=-27
-14x+10y=18
Answer:
y=6 x=3
Step-by-step explanation:
−2(−7x−y=−27)
1(−14x+10y=18)
14x+2y=54
−14x+10y=18
12y=72
y=6
−7x−y=−27
−7x−6=−27
−7x=−21
x=3
find two positive numbers such that the sum of the first and twice the second is 120, and their product is a maximum. as your answer, please input the maximal value of the product.
The sum of two positive numbers is 120. The product of those numbers will be maximum if both numbers are equal to 60 and the maximum value is 3600.
Suppose we have a function f(x). At the extreme point (maximum/minimum), it holds:
f ' (x) = 0
In the given problem, let the two numbers be a and b. Then,
a + b = 120 or
a = 120 - b (equation 1)
f(b) = a x b = (120 - b) x b
f(b) = -b² + 120b
At the maximum point, the derivative with respect to b is zero,
f ' (b) = 0
-2b + 120 = 0
b = 120 / 2 = 60
Substitute b = 60 to equation 1,
a = 120 - 60 = 60
Hence, the two numbers that give maximal value of the product is 60 and 60. The product is 60 x 60 = 3600.
We can conclude that the maximum value of the product of those two numbers is 3600.
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The world's largest brownie had a mass of 106,200 grams. The serving size for a brownie is 35 grams. How many servings were in the world's largest brownie?
Enter the correct answer in the box. Round to the nearest whole number.
Answer:
3034 grams
Step-by-step explanation:
to find one serving divide the total grams by grams per serving:
106200/35
=3034.28571429=3034(rounded to nearest whole number)
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a tunnel is constructed with a semielliptical arch. the width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet. what is the height of the tunnel 5 feet from the edge? round your answer to the hundredths place.
As a result, the tunnel is 13.83 feet high, 5 feet from the edge.
An ellipse is an oval curve on a plane that contains two fixed points called foci. The sum of the distances between the two foci from each point on the ellipse is constant at all points.
Since the tunnel has an arch that is semi-elliptical, we can put the ellipse's center at the center of its 60-foot width.
What is an ellipse?
An ellipse is a two-dimensional shape that is defined by its axes in geometry. When a plane intersects a cone at an angle to its base, it creates an ellipse. It focuses on two things. For each point in the curve, the sum of the two distances to the focal point remains constant.
What are an ellipse and an example?
An ellipse is the locus of points whose sum of their distances from its two foci is constant and has an eccentricity of less than one. The two-dimensional egg shape and the running tracking in a sports stadium are simple examples of the ellipse in our everyday lives.
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2² - 12z+c
Find the value of c.
Step-by-step explanation:
2² - 12z +c
4 -12z + c
c = -4+12z
HELP FAST PLSS!! what is the slope of this line?!
Answer:
2\3
Step-by-step explanation:
Hope this helps!!
1: In his job as a cashier, Joe makes $500 each month plus $20 every time he convinces a customer to open a charge account at the store.
a. write the equation that describes Joe’s monthly income I as a function of n, the number of accounts that Joe solicits. Name the form of equation you wrote and why you chose to use that form.
b. This function is:
linear
exponential
c. This function is:
continuous
discrete
The equation that describes Joe’s monthly income is I = 500 + 20n. This function is Linear and discrete.
Joe makes each month = $500
The extra income per account he solicits = $20
No. of accounts he solicits = n
Income, I = 500 + 20n
It's a linear and discrete function.
A linear function in mathematics is one that has either one or two variables and no exponents. On a graph, it creates a straight line.
When the domain and range of a function are discrete sets of values rather than intervals, the function is said to be discrete.
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Select the correct answer.
Function h is the product of functions f and g.
f(x) = -5x − 9
g(x) = 8x − 4
Which equation defines function h?
A.
h(x) = -40x + 36
B.
h(x) = -40x2 − 52x + 36
C.
h(x) = -40x2 + 36
D.
h(x) = -40x2 − 13x + 36
The value of h(x) = -40x2 – 52x + 18. Option (b) is correct.
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable is defined as a function.
Given functions
f(x) = -5x − 9
g(x) = 8x − 4
we have to determine which equation defines function h
f(x) = -5x − 9
g(x) = 8x – 4
(f x g) (x) = (-5x –9)(8x – 4)
(f x g) (x) = -40x2 + 20x – 72x + 36
(f x g) (x) = -40x2 – 52x + 18
Therefore the value of h(x) = -40x2 – 52x + 18. Option (b) is correct.
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Martin has to drive to Alabama for a conference next week for a civil rights protest. He sees that he will need to drive 180 miles per day to reach the protest in time. If he already drove 20 miles to his hotel. Which equation represent his miles, m, to his days, d?
Answer:
m = 180d -20
Step-by-step explanation:
m = miles
d = days
Graph DFG with vertices D(2,8), F(1,2) and G(4,6) and image after the glide reflection with a translation along <3,3> and a reflection in the y=x
The vertices of the figure after geometric translations are (11, 5), (5, 4), and (9, 7).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The vertices are D(2,8), F(1,2) and G(4,6).
Points become after reflection:
D'(8, 2), F'(2, 1), G'(6, 4)
After applying translation:
D''(8+3, 2+3) = (11, 5)
F''(2+3, 1+3) = (5, 4)
G''(6+3, 4+3) = (9, 7)
Thus, the vertices of the figure after geometric translations are (11, 5), (5, 4), and (9, 7).
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(50 points) Write the expression in exponential form: [tex](\sqrt{10} )^3[/tex]
The exponential form is [tex]10^\frac{3}{2}= \sqrt{1000}[/tex].
Given expression is [tex](\sqrt{10})^3[/tex]
We know that
[tex](\sqrt{x})^n = x^\frac{n}{2}[/tex]
Therefore, [tex](\sqrt[]{10})^3 = 10^\frac{3}{2}[/tex]
Now, let's simplify the exponential form of this expression.
We know that [tex]a^\frac{m}{n} = nth root of a^m[/tex]
Therefore,
[tex]10^\frac{3}{2} =(\sqrt{10})^3[/tex]
[tex]10^\frac{3}{2}= \sqrt{1000}[/tex]
Hence, the exponential form of the expression [tex](\sqrt{10})^3[/tex] is [tex]10^\frac{3}{2}= \sqrt{1000}[/tex] which simplifies to [tex]10^\frac{3}{2}[/tex].
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PLEASE complete the essay parts for me
Explain your reasoning for selecting the answer that you did in the above problem
Explain your reasoning for selecting the answer that you did in the above problem
Explain your reasoning for selecting the answer that you did in the above problem
Explain your reasoning for selecting the answer that you did in the above problem
Please explain why the AAA theorem doesn't work to prove triangles congruent. :)
The congruency postulates for the given triangles are;
1) ASA Congruency postulate.
2) SSS congruency postulate.
3) AAS congruency postulate.
4) SAS Congruency postulate.
5) Triangles are not congruent
How to Interpret Congruency Postulates?
There are different triangle congruency postulates such as AAS, ASA, SSS, SAS, RHS.
1) We are given 2 corresponding angles and the included congruent side and as such, the congruency rule here is ASA Congruency postulate.
2) We are given 3 corresponding congruent sides for both given triangles and as such we can say that the triangle congruence postulate here is SSS congruency postulate.
3) We are given 2 corresponding angles and the non-included congruent side and as such, the congruency rule here is AAS Congruency postulate.
4) We are given two congruent sides and the include congruent angle and as such the congruency rule here is SAS Congruency postulate.
5) We are given three congruent angles but there is no mention of any of the sides being congruent and as such the triangles are not congruent.
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1. Select all transformations that do not result in mapping (a,-a) to (a, a) when a > 0.
A reflection in the y-axis
B reflection in the x-axis
translation 2a units up
D translation a units up, followed by a reflection in the line y = a
translation
a units up, followed by a reflection in the line y = 2
Reflection in the x-axis and translation 2a units up, translation a units up, followed by a reflection in the line y = a translation a units up, followed by a reflection in the line y = 2
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.
transformations that do not result in mapping (a,-a) to (a, a) when a > 0. are
reflection in the x-axis and translation 2a units up, translation a units up, followed by a reflection in the line y = a translation a units up, followed by a reflection in the line y = 2
Hence reflection in the x-axis and translation 2a units up, translation a units up, followed by a reflection in the line y = a translation a units up, followed by a reflection in the line y = 2
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Divide.
(x³ + x² + 3x + 5) ÷ (x + 4)
Using the long division method, we have divide ([tex]x^3+x^2[/tex] +3x+5) ÷ (x+4) then the remainder is −55 and quotient is x^2−3x+15.
We have to divide ([tex]x^3+x^2[/tex] +3x+5) ÷ (x+4)
In general, long division of two integers without any variables is performed in the same way as long division of a polynomial by a binomial:
Divide the polynomial's highest degree term by the binomial's highest degree term. Over the division line, type the outcome.
Subtract the resulting binomial from the polynomial after multiplying this result by the divisor.
x+4) [tex]x^3+x^2[/tex] +3x+5 (x^2−3x+15
−([tex]x^3+4x^2[/tex])
−−−−−−−−−−−−−−−−−−−
−3[tex]x^2[/tex] +3x
−(−3[tex]x^2[/tex] −12)
−−−−−−−−−−−−−−−−−−−
15x+5
−(15x+60)
−−−−−−−−−−−−−−−−−−−
−55
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Aquarium a contains 4. 6 gallons of water. Louise will begin filling aquarium a at a rate of 1. 2 gallons per minute. Aquarium b contains 54. 6 gallons of water. Isaac will begin draining aquarium b at a rate of 0. 8 gallon per minute. After how many minutes will both aquariums contain the same amount of water and what will be the amount of water in each aquarium?.
After 25 minutes will both aquariums contain the same amount of water.
Given:
Aquarium a contains 4. 6 gallons of water. Louise will begin filling aquarium a at a rate of 1. 2 gallons per minute. Aquarium b contains 54. 6 gallons of water. Isaac will begin draining aquarium b at a rate of 0. 8 gallon per minute.
Let y be the minutes
A(y) = 4.6 + 1.2y
B(x) = 54.6 - 0.8y
Same amount of water:
A(x) = B(x)
4.6 + 1.2y = 54.6 - 0.8y
1.2y + 0.8 y = 54.6 - 4.6
2y = 50
divide by 2 on both sides
2y/2 = 50/2
y = 25 minutes.
Therefore after 25 minutes will both aquariums contain the same amount of water.
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A 236-inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
let length of one piece = x
length of other piece = 236-x
one piece is three times the length of the other
x=3(236-x)
x=708-3x
4x=708
x=177
so first piece is 177 inches long and second piece is (236-177)= 59 inches long
Answer:
first piece is 177 inches long and second piece is (236-177)= 59 inches long
Step-by-step explanation:
x=3(236-x)
x=708-3x
4x=708
x=177