Answer:
One angle equals 30
Other angle equals 60
Step-by-step explanation:
2x+x=90
complementary angles have to add up to 90°
Determinar que tipo de número racional es 34/34
Answer:
1 (Integers and whole number)
Step-by-step explanation:
Given:
Rational number = 34 / 34
Computation:
34 / 34 = 1
Integers and whole number
An integer is descriptively measured by the number without even a fraction which can be written.
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table.
Answer:
Step-by-step explanation:
Answer:
The answer is 35%
If x varies directly as y, find x when y = 8 a) x = 6 when y = 32 b) x = 14 when y = -2
a) The value of x is 42.6 when k =16/3 is directly proportional to y.
b) The value of x is -56 when k is -7 is directly proportional to y.
What kind of variation is one where x and y are directly proportional?
If x = ky for some constant k can be used to indicate the relationship between the variables y and x, then we may say that y varies directly with y or that x is directly proportional to y.x varies directly as y
x α y
x = ky
a) x=6 ; y = 32
x = ky
6 = k(32)
k = 16/3
if y = 8
then,
x = (16/3) * 8
= 128/3
x = 42.6
Hence, the value of x is 42.6 when k =16/3 is directly proportional to y.
b) x= 14 and y = -2
x = ky
14 = k(-2)
k = -7
if y = 8
then,
x = ky
x= (-7) 8
x = -56
Hence, the value of x is -56 when k is -7 is directly proportional to y.
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You share Packet of 56 jelly beans with your sister in the ratio 4:3 how many jelly beans will you get?
I'll get 32 jelly beans
Amount of jelly beans shared = 56
My fraction = 4/(4+3) = 4/7
My sister's fraction = 3/(4+3) = 3/7
The number of jelly beans that I'll get will then be:
= My fraction × Number of jelly beans
= 4/7 × 56
= 4 × 8
= 32
Therefore, I'll get 32 jelly beans
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Please see my question in the attachment, thanks
As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.
What is a vertical asymptote?In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).
By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.
In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;
As x → -1⁻, f(x) → ∞.
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Your car dealer is willing to lease you a new car for $140 a month for 36 months. Payments are due on the first day of each month starting with the day you sign the lease contract. If your cost of money is 6.4 percent, what is the current value of the lease?
If your cost of money is 6.4 percent, what is the current value of the lease is equal to $820.0054.
What is a lease?In Economics, a lease can be defined as a contractual agreement between a lessor and lessee, which avails the lessee an opportunity to make use of an asset, while making payments in instalment to the lessor for a specific period of time.
Mathematically, the current (present) monetary value of a lease can be calculated by using this formula:
Current value, PV = [Annuity × (1 + r) × [1 - (1 + r)^{-n}]/r]
Where:
PV represents the current value of an ordinary annuity.r represents the interest rate per period.n represents the number of periods.Note: r = 0.064/12 = 0.0053333
Substituting the given parameters into the formula, we have;
Current value, PV = [144 × (1 + 0.0053333) × [1 - (1 + 0.0053333)^{-36}]/0.0053333]
Current value, PV = [144 × (1.0053333) × [1 - (1.0053333)^{-36}]/0.0053333]
Current value, PV = [144 × (1.0053333) × [1 - 0.8257290]/0.0053333]
Current value, PV = [144 × (1.0053333) × [0.174271/0.0053333]
Current value, PV = 25.095024 × 32.6760167
Current value, PV = $820.0054.
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Rewrite 1/12x^3y+7/12xy^2 using a common factor
The expression 1/12 x³ y + 7/12 x y² can be written as 1/12xy(x² + 7y) using common factor.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
1/12 x³ y + 7/12 x y²
The common term in the expression is,
1/12xy
To simplify the expression,
take common to 1/12xy from the expression,
1/12xy(x² + 7y)
The required expression is 1/12xy(x² + 7y).
Hence, option (C) is correct.
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Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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how to expand (3x-4y)^6
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
what is the value of -2/3x0.6÷ 6/5
Answer:
-0.33333333333 in other word it o.3 with line over 3
Step-by-step explanation:
please help I will mark you brainlist
Step-by-step explanation:
0.000
ones, tenths, hundreths, thousandths
Refer to above when you get confused in the future! You got this! :)
2.
2a) 0.482
2b)0.18
2c)8.001
2d)0.008
2e)0.018
3. 58/100 = 0.58
Kiaya recorded the distance she rode her bike during four different workouts. She rode the same number of kilometers per hour during each workout.
Answer:
d
Step-by-step explanation:
Find the value of 35÷c when c= 7.
Answer:
5
Step-by-step explanation:
when c = 7,
substitute 7, into 35÷c
35 ÷ 7 = 5
(y+7)-(2y-5) simplify expression
Answer
-y+2, or 2-y
Step-by-step explanation:
Answer:
-y + 12
Step-by-step explanation:
Step 1: Write expression
(y + 7) - (2y - 5)
Step 2: Distribute negative
y + 7 - 2y + 5
Step 3: Combine like terms
-y + 12
A solid figure is composed of a cube and a right triangular
prism. The figure and some of its dimensions are shown in
this diagram.
- 8 cm
What is the volume of the figure?
A
6 cm
B
560 cubic centimeters
704 cubic centimeters
C 728 cubic centimeters
Answer:
Option B
Step-by-step explanation:
704 cubic centimeters
Hi! Will give brainliest to who answers first!
Find the point that lies on the line described by the equation below.
y-3 = 3(x-9)
A. (9,3)
B. (3,9)
C. (9,-3)
D. (27,3)
Answer:
A
Step-by-step explanation:
3-3= 3(9-9)
0= 0
thanks
Answer:
(9, 3)
Step-by-step explanation:
Hi there!
I provided a graph of the function below to help.
If you take a quick look, the graph goes through point (9,3)
I hope this helps!
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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What should be subtracted from minus 3 / 4 so has to get 5 / 6 ?
Answer:
Step-by-step explanation:
Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and
6,which is 12.
3*3/4*3=9/12
5*2/6*2=10/12
Step 2:Subtract 9/12 from 10/12,which is 1/12.
solve the proportion for x pls help image attached
\(\cfrac{10}{x}=\cfrac{x}{7}\implies 70=x^2\implies \sqrt{70}=x\)
The price of a particular model car is $13,857 today and rises with time at a constant rate of $1203 per year. How much will a new car cost in 4.7 years?
Answer:
It should be about $19,500
Step-by-step explanation:
Answer:
$19,511.10
Step-by-step explanation:
1203*4.7= The total change over 4.7 years.
1203*4.7=5654.10
5654.10+13857=The total price after 4.7 years.
5654.10+13857=19,511.10
notacion cientifica de 760000000
Answer:
7.6^8
Step-by-step explanation:
Which of the following statements about area is not true?
A. Area is the total space within the outside edges of a two-dimensional object.
B. Area can be found by counting the number of unit squares that fill a space.
C. Area is the total distance around the outside of a shape.
D. Area is used to help describe the dimensions of a shape.
Answer:
C. Area is the total distance around the outside of a shape.
Step-by-step explanation:
Answer:
Area is the total distance around the outside of a shape, Would be correct.
Step-by-step explanation:
Please please help me with this i have 40 missing assignments, if you help YOUR AMAZING
The volume of the prisms are:
1. 432 yd³
2. 36in³
3. 252 m³
4. 240 ft³
5. 576 mm³
6. 144 cm³
7. 343 m³
8. 120 yd³
9. 150 in³
How to determine the volumeThe formula for calculating the volume of a rectangular prism is expressed as;
V = lwh
such that;
l is the lengthw is the widthh is the heightNow, substitute the value for each of the prisms, we have;
1. Volume = 6 × 6 ×12
Multiply
Volume = 432 yd³
2. Volume = 2 ×9 × 2
Multiply
Volume = 36in³
3. Volume = 9 × 4 × 7
Multiply
Volume = 252 m³
4. Volume = 10 × 8 × 3
Multiply
Volume = 240 ft³
5. Volume = 4 × 12 × 12
Multiply the values
Volume = 576 mm³
6. Volume = 6 × 8 × 3
Volume = 144 cm³
7. Volume = 7 × 7 ×7
Volume = 343 m³
8. Volume = 8 × 3 × 5
Volume = 120 yd³
9. Volume = 5 × 6 × 5
Volume = 150 in³
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What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
solve systems of equations
y+3x=2
y+3=2x
Answer:
2x
Step-by-step explanation:
Simplify 3m4-2+8
A.8m4
B.9m4
C.3m+244
D.3m+284
Answer:
\(3m^4 - 2 + 8 = 3(m^4 + 2)\)
Step-by-step explanation:
Given
\(3m^4 - 2 + 8\)
Required
Simplify
\(3m^4 - 2 + 8\)
Subtract 2 from 8
\(3m^4 - 2 + 8 = 3m^4 + 6\)
Factorize
\(3m^4 - 2 + 8 = 3(m^4 + 2)\)
The expression cannot be further simplified;
Hence;
\(3m^4 - 2 + 8 = 3(m^4 + 2)\)
None of the options answers the question
If p(f) is the inverse of T(p), and p(5) = 7 , then t(7) = 5 true of false?
Answer:
True
Step-by-step explanation:
Hi there!
If f(a)=b, then f⁻¹(b)=a.
If p(5)=7, then p⁻¹(7)=5.
Because t(p) is the inverse of p(f), t(7)=5.
I hope this helps!
Find the area of a triangle bounded by the y axis, the line f (x) = 3-1/7x, and the line perpendicular to f (x) that passes through the origin
Solution:
Let us the line with the equation:
\(f(x)=y=\text{ 3-}\frac{1}{7}x\)According to this equation, the slope of this line is:
\(m\text{ =-}\frac{1}{7}\)now, the slope of the line perpendicular to the line f(x) would be:
\(m_p=7\text{ }\)Since the perpendicular line to f(x), passes through the origin, we have that the y-intercept of this line is 0, so the equation of the perpendicular line passing through origin is:
\(y\text{ = 7x}\)now, to find the intersecting point between the lines, we must equalize both equations of the lines:
\(7x\text{ = 3-}\frac{1}{7}x\)then, solve for x:
\(x\text{ = }\frac{21}{50}\)the y-coordinate corresponding to this x, is:
\(y\text{ = 7(}\frac{21}{50}\text{)=}\frac{147}{50}\)thus, we obtain the point:
\((x,y)=(\frac{21}{50},\frac{147}{50})\)now, the y-intercept of the given line f(x) is when x=0, then:
\(f(0)=y=\text{ 3-}\frac{1}{7}(0)=3\)thus, we get the point:
\((x,y)=(0,3)\)Therefore, we already have the 3 points that define the triangle
so the triangle is bounded by the points
\(undefined\)Can you please help me i want to know the steps to solve this problem i dont want the answer so i can learn to do this on my own
Answer:
Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so
1+(6-8)=?