Answers
In order to find the answer to this particular problem. you would have to do the [tex]Distributive [/tex] [tex]Property[/tex]
So, [tex] \frac{1}{2} (-12m + 38)[/tex]
[tex] \frac{1}{2} (-12m) = -6m \\ \\ \\ \frac{1}{2} (36) = 19 [/tex]
Your answer: [tex]-6m + 19 [/tex] (option C,)
Good luck on your assignment and enjoy your day
~[tex]LoveYourselfFirst:)[/tex]
Related Questions
A small toy car costs $3 . A large toy car costs 5 times as much as the small one . Aaron wants to buy one of each . Which equation can he use to find the cost (a) of the two cars ?
(A) 5x a = $3 +. $3
(B) 5x ($3 + $3 ) = a
(C) $3 +(5 x $3 ) =a
(D) (5 x $3 ) \ 3 = a
(/) division
Answers
Answer: the answer is B
Step-by-step explanation:
The equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a small toy car costs $3. A large toy car costs 5 times as much as the small one.
The equation can be written as:-
a = $3 + ( 5 x $3 )
Therefore, the equation used to find the cost (a) of the two cars will be $3 +(5 x $3 ) =a. The correct option is C.
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whats the value of x??im really confused i thought it was 7 but that doesnt make sense can someone please help me!!!
Answers
16x -12 = 180
16x = 192
x = 192/16
x = 12
meaning they both add up to 180 because they are on a straight line
To solve:
(10x - 20) + (6x + 8) = 180
combine like terms
(10x + 6x ) + (-20 + 8) = 180
16x - 12 = 180
add 12 to both sides
16x = 192
divide both sides by 16
x = 12
To solve for the angles, you would just take x and plug it into the angle and solve XD
Hope this helps
A certain species of tree grows an average of 3.1 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 400 centimeters tall.
Answers
Answer:
h = 400 + 3.1(n - 1)
Step-by-step explanation:
this is an arithmetic sequence so instead the answer would be
h = 400 + 3.1(n - 1)
where h is the height of the tree after n weeks
A company produces plates with area A=πr^2, where r is the radius of the plate. Find the inverse by solving for r without switching the variables.
The inverse is r=____
Explain your reasoning.
Answers
Final answer:
The inverse of the formula A = πr^2 is found by dividing the area A by π and then taking the square root of the resulting quotient, which gives r = √(A/π). The accuracy of this inverse is limited by the number of significant figures in the original measurement of the radius.
Explanation:
To find the inverse of the formula A = πr^2 for the area of a circle, we want to solve for the radius r in terms of A. We follow these steps:
Starting with A = πr^2, divide both sides of the equation by π to isolate r^2: A/π = r^2.
Take the square root of both sides of the equation to solve for r: r = √(A/π).
The inverse is therefore r = √(A/π).
When using a calculator, it is important to remember that the number of significant figures in a given measurement limits the accuracy of the calculations. As shown in the example, if the radius has two significant figures, the calculated area has to be limited to two significant figures as well, thus A=4.5 m².
what is 9^21 can somebody please help me
Answers
9*9*9*9*9*9*9*9*9*9*9*9*9*9*9*9*9*9*9*9*9=
1.09418989e20 is the answer.
Decimal Form: 1.09418989 * [tex] 10^{20} [/tex]
4x-7+7x=3x-1
Please help hurry for crutal test.
Answers
4x-7+7x=3x-1
Combine like terms.
11x-7=3x-1
Add 7 to both sides.
11x= 3x+6
Subtract 3x on both sides.
8x=6
Divide 8 into both sides.
x=6/8 or 3/4. (.75)
I hope this helps!
~kaikers
The solution to the equation is [tex]x = \frac{3}{4}[/tex] .
We start by rewriting the equation:
4x-7+7x=3x-1
Combine the x terms on the left side:
11x - 7 = 3x - 1
Isolate the x terms on one side of the equation. To do this, we’ll move the 3x term from the right side to the left side by subtracting 3x from both sides:
11x - 3x - 7 = -1
Simplify:
8x - 7 = -1
Add 7 to both sides to get rid of the constant term on the left side:
8x = 6
Divide both sides by 8 to find the value of x:
[tex]x = \frac{6}{8} = \frac{3}{4}[/tex]
Therefore, the solution to the equation is [tex]x = \frac{3}{4}[/tex] .
∆ABC has side lengths of 10 units, 20 units, and 24 units. ∆XYZ is similar to ∆ABC, and the length of its longest side is 60 units. The perimeter of ∆XYZ is units. If the height of ∆ABC, with respect to its longest side being the base, is 8 units, the area of ∆XYZ is square units. NextReset
Answers
Final answer:
The perimeter of ΔXYZ is 25 units and the area of ΔXYZ is 40 square units.
Explanation:
In this problem, we are given that ΔABC has side lengths of 10 units, 20 units, and 24 units, and ΔXYZ is similar to ΔABC. We are also given the length of the longest side of ΔXYZ as 60 units. To find the perimeter of ΔXYZ, we need to add up the lengths of all its sides. Since the longest side of ΔABC is 24 units, and the longest side of ΔXYZ is 60 units, we can set up the following proportion:
24/10 = 60/x
Cross-multiplying gives us:
24x = 600
x = 600/24 = 25 units
Therefore, the perimeter of ΔXYZ is 25 units.
Now, to find the area of ΔXYZ, we can use the proportional relationship between the areas of similar triangles. Since the ratio of the longest sides is 60/24 = 5/2, the ratio of the areas will be (5/2)^2 = 25/4. Since the area of ΔABC is 1/2 times the base times the height, we can use the same formula for ΔXYZ with the corresponding measurements:
Area of ΔXYZ = (1/2) * 10 * 8 = 40 square units
The ratio of the measures of the sides of a triangle is 9:15:5. If the perimeter of the triangle is 130 feet, find the measures of the sides.
Answers
29x = 130
x = 4.4827586207
So the triangle sides =
22.4137931034
40.3448275862
67.2413793103
0.025 milliliters is the same as: cm3 and L
Answers
0.025 milliliters is equal to 0.025 cubic centimeters and 0.000025 liters. The conversion is based on the fact that 1 milliliter is equivalent to 1 cubic centimeter, and there are 1000 milliliters in 1 liter.
To convert 0.025 milliliters to cubic centimeters (cm³) and liters (L), we need to understand the relationships between these units.
Cubic Centimeters (cm³):
Since 1 milliliter is equivalent to 1 cubic centimeter, 0.025 milliliters is equal to 0.025 cubic centimeters.
Liters (L):
There are 1000 milliliters in 1 liter. Therefore, to convert milliliters to liters, we divide the volume in milliliters by 1000.
0.025 milliliters ÷ 1000 = 0.000025 liters.
In summary, 0.025 milliliters is equivalent to 0.025 cubic centimeters and 0.000025 liters.
The question probable may be:
What would be the value of 0.025 milliliters in cm^3 and also in L.
0.025 milliliters is equivalent to 0.025 cubic centimeters because 1 milliliter equals 1 cubic centimeter. Also, 0.025 milliliters is equal to 0.000025 liters as there are 1,000 milliliters in a liter.
Explanation:The student's question is: 0.025 milliliters is the same as how many cubic centimeters (cm3) and liters (L). This is a conversion problem involving units of volume. From the provided information, we understand that 1 milliliter (mL) is exactly equal to 1 cubic centimeter (cm3). Therefore, if the student has 0.025 mL, this is directly equivalent to 0.025 cm3 because the conversion factor between mL and cm3 is 1.
Furthermore, recalling that 1 liter is equal to 1,000 milliliters, and since we are given a volume in milliliters, we can convert this to liters by dividing by 1,000. Consequently, 0.025 mL is equal to 0.025 / 1,000 L, which simplifies to 0.000025 L.
Which equation is quadratic in form 2(x+5)^2+8x+5+6=0, x^6+6x^4+8=0, 7x^6+36x^3+5=0, 4x^9+20x^3+25=0?
Answers
Equation 2(x+5)² + 8x + 5 + 6 = 0 or 2x² + 28x + 61 = 0 is the equation in quadratic form.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
In the given equation,
2(x+5)² + 8x + 5 + 6 = 0
2 (x² + 25 + 10x) + 8x + 11 = 0
2x² + 50 + 20x + 8x + 11 = 0
2x² + 28x + 61 = 0
This is the quadratic equation.
Rest of the equation are in the higher degree power, only equation 2x² + 28x + 61 = 0 is second power equation.
Hence, 2x² + 28x + 61 = 0 is a quadratic equation.
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if a circle has a diameter of 24 inches, which expression gives its area in square inches?
Answers
Divide 24 by 2 to get the radius or r.
12 squared by pi or 2.14
12 squared = 144
144 times 2.14 = the area
A = 452.39
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Which of the following is equal to the expression below?
(160 * 243)^1/5
A. [tex] 6 \sqrt[5]{5} [/tex]
B.96
C.80
D.5[tex] 5 \sqrt[5]{5}
[/tex]
Answers
(160 * 243)^1/5
To simplify the above expression first step is to factor the numbers. Therefore,
[tex] (160*243)^{\frac{1}{5}} = ((2*2*2*2*2*5)*)(3*3*3*3*3)^{\frac{1}{5}} [/tex]
=[tex] (2^5*5*3^5)^{\frac{1}{5}} [/tex]
= [tex] (2^5)^{\frac{1}{5}} *(5)^{\frac{1}{5}} *(3^5)^{\frac{1}{5}} [/tex]
=[tex] 2 * (5)^{\frac{1}{5}} *3 [/tex]
= [tex] 6*(5)^{\frac{1}{5}} [/tex]
= [tex] 6\sqrt[5]{5} [/tex]
So, correct choice is A.
Use the diagram of g | | h, with transversal f, to answer the questions.
A pair of corresponding angles is
a. angle 1 and angle 3
b. angle 4 and 2
c.angle 4 and angle 8
Angle 2 is blank angle 8.
a. greater than
b. less than
c. congruent to
A pair of same-side interior angles is......
a. angle 2 and angle 5
b. angle 4 and angle 7
c. angle 5 and angle 7
Answers
Answer:
1) Angle 4 and angle 8.
2) c. Congruent to.
3) a. Angle 2 and angle 5.
Step-by-step explanation:
1) When a transversal cuts the shown parallel lines, the angles that are in the same relative position are call correponding angles.
2) Angle 2 and 8 are Alternal internal angles, therefore they are congruent.
3) Angle 2 and angle 5 are on one side of the transversal, therefore, they are same-side interior angles.
SIMPLIFY the radical expression: square root of 75 + square root of 3
Answers
PLEASE HELP
7.01
1. Find the first six terms of the sequence.
a1 = 4, an = an-1 + 8
A) 0, 8, 16, 24, 32, 40
B) 12, 20, 28, 36, 44, 52
C) 4, 12, 20, 28, 36, 44
D) 4, 8, 16, 24, 32, 40
2. Find the first six terms of the sequence.
a1 = -8, an = 5 an-1
A) -8, -40, -200, -1000, -5000, -25,000
B) -8, -40, -35, -30, -25, -20
C) 0, 5, -40, -35, -30, -25
D) -40, -200, -1000, -5000, -25,000, -125,000
3. Find an equation for the nth term of the arithmetic sequence.
8, 6, 4, 2, ...
A) an = 8 + -2(n)
B) an = 8 - 2
C) an = 8 + -2(n + 1)
D) an = 8 + -2(n - 1)
4. Find an equation for the nth term of the arithmetic sequence.
-17, -12, -7, -2, ...
A) an = -17 + 5(n + 2)
B) an = -17 + 5(n + 1)
C) an = -17 + 5(n - 1)
D) an = -17 x 5(n - 1)
5. Find an equation for the nth term of the arithmetic sequence.
a19 = -58, a21 = -164
A) an = 896 - 53(n - 2)
B) an = 896 - 53(n - 1)
C) an = 896 + 53(n + 1)
D) an = 896 - 53(n + 1)
6. A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
Answers
For this case, the first thing you should do is replace the values given one by one.
We have then:
a1 = 4
a2 = a1 + 8 = 4 + 8 = 12
a3 = a2 + 8 = 12 + 8 = 20
a4 = a3 + 8 = 20 + 8 = 28
a5 = a4 + 8 = 28 + 8 = 36
a6 = a5 + 8 = 36 + 8 = 44
Answer:
C) 4, 12, 20, 28, 36, 44
2. Find the first six terms of the sequence.
a1 = -8, an = 5 an-1
For this case, the first thing you should do is replace the values given one by one.
We have then:
a1 = -8,
a2 = 5 ^ (- 8) = -40
a3 = 5 ^ (- 40) = -200
a4 = 5 ^ (- 200) = -1000
a5 = 5 ^ (- 1000) = -5000
a6 = 5 ^ (- 5000) = -25000
answer:
A) -8, -40, -200, -1000, -5000, -25,000
3. Find an equation for the nth term of the arithmetic sequence.
8, 6, 4, 2, ...
What you must do for this case is to verify which sequence is best suited to the problem.
For this case we have:
8, 6, 4, 2,
The sequence is:
an = 8 + -2 (n - 1)
a1 = 8 + -2 (1 - 1) = 8
a2 = 8 + -2 (2 - 1) = 6
Answer:
An equation for the nth term of the arithmetic sequence is
D) an = 8 + -2 (n - 1)
4. Find an equation for the nth term of the arithmetic sequence.
-17, -12, -7, -2, ...
What you must do for this case is to verify which sequence is best suited to the problem.
For this case we have:
-17, -12, -7, -2,
The sequence is:
an = -17 + 5 (n - 1)
a1 = -17 + 5 (1 - 1) = - 17
a2 = -17 + 5 (2 - 1) = - 12
Answer:
Answer:
An equation for the nth term of the arithmetic sequence is
C) an = -17 + 5 (n - 1)
5. Find an equation for the nth term of the arithmetic sequence.
a19 = -58, a21 = -164
What you must do for this case is to verify which sequence is best suited to the problem.
For this case we have:
a19 = -58, a21 = -164
The sequence is:
an = 896 - 53 (n - 1)
a19 = 896 - 53 (19 - 1) = - 58
a21 = 896 - 53 (21 - 1) = - 164
Answer:
An equation for the nth term of the arithmetic sequence is
B) an = 896 - 53 (n - 1)
6. A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
For this case, what you should do is to write the equation step by step to find the correct result.
We have then:
the measurements begin when the tree is 200 centimeters tall
200
tree grows an average of 0.5 cm per week
200 + 0.5n
Where
n: number of weeks.
answer:
An equation for the sequence that represents the weekly height of this tree in centimeters is
an = 200 + 0.5n
The answers identified are: (C) for the first sequence question, (A) for the second sequence question, (D) for the arithmetic sequence with a start of 8 and difference -2, (C) for the arithmetic sequence starting from -17, (B) for the arithmetic sequence question with given a19 and a21, and finally an = 200 + 0.5n for the tree growth question.
Explanation:The correct answers are as follows:
For the first question, you start with 4 (a1 = 4) and each subsequent term is the previous term plus 8 (an = an-1 + 8). This gives the sequence 4, 12, 20, 28, 36, 44, which matches option (C).For the second question, starting at -8 (a1 = -8) and then multiplying the previous term by 5 gives you -8, -40, -200, -1000, -5000, -25,000, which matches option (A).For the third question, the common difference between consecutive terms is -2 and the first term is 8, which gives an = 8 - 2(n - 1) (option D)For the fourth question, the common difference is +5 and the first term is -17, so the equation for the nth term is an = -17 + 5(n - 1) (option C). For the fifth question, the common difference can be calculated from the problem as 53. Hence the equation for the nth term is an = 896 - 53(n - 1) (option B).For the last question, if the tree grows at a rate of 0.5 cm per week and the initial height is 200 cm, the height of the tree each week is represented by an = 200 + 0.5n.Learn more about Arithmetic Sequences here:https://brainly.com/question/35880655
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Show that all of the powers in the prime-power factorization of an integer n are even if and only if n is a perfect square
Answers
What is the solution to the equation g(x) = 3?
x = 3
3 < x < 5
3 ≤ x ≤ 4
3 ≤ x < 5
Answers
__________________________________________________
Solve.
0 = x² + 8x + 15
Enter your answers in the boxes.
The solutions are _____
and _____.
Answers
(x+5)(x+3)=0
The solutions are -3 and -5.
For this case we have the following polynomial:
[tex] 0 = x ^ 2 + 8x + 15
[/tex]
We can rewrite the polynomial by factoring the expression.
We have then:
[tex] (x + 3) (x + 5) = 0
[/tex]
From here, we look for the solutions of the polynomial.
We have then:
Solution 1:
[tex] x + 3 = 0
x = -3
[/tex]
Solution 2:
[tex] x + 5 = 0
x = -5
[/tex]
Answer:
The solutions of the polynomial are given by:
[tex] x = -3
x = -5 [/tex]
The product of x and 8 is less than or equal to 19
Answers
suppose that w and t vary inversely and that t=1/5 when w=4. write a function that models the inverse variation and find t when w=9
A. t= 1/5w; 4/45
B. t= 1/5w; 1/5
C. t= 1/20w; 1/80
D. t= 4/5w;4/45
Answers
We are told that w = 4 and t = 1/5 so we know their product wt = (4)(1/5) = 4/5. This is what I called k before.
Therefore the relationship between w and t can be modeled by t = (4/5) / w. That is, t = 4 / 5w
Further, when w = 9, we find t by substituting 9 for w in the equation just found and obtain: t = 4 / [(5)(9)] = 4/45. That is, when w = 9, t = 4/45.
This mean choice D is the correct answer.
The answer is D. t=4/5w; 4/45
Find the center of the circle whose equation is x² + y² = 4.
Answers
Answer:
The center of circle is [tex](0,0)[/tex]
Step-by-step explanation:
We need to find the center of the circle of the equation [tex]x^{2}+y^{2}=4[/tex]
Since, the general equation of circle is [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]
Where (h,k) is center of circle and r is radius.
Re-write the circle equation is [tex]x^{2}+y^{2}=4[/tex] as,
[tex]x^{2}+y^{2}=2^{2}[/tex]
Compare [tex]x^{2}+y^{2}=2^{2}[/tex] with [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]
so, [tex](x-0)^{2}+(y-0)^{2} = 2^{2}[/tex]
Hence, the center of circle is [tex](0,0)[/tex]
Kenya has 2 hours to work a 100 problem math test. At what rate must she work in order to finish in 2 hours?
A) 0.83 problems per minute
B) 1.23 problems per minute
C) 1.35 problems per minute
D) 1.41
problems per minute
Answers
What does this quote tell us about the media’s influence during the Nixon investigation?
"We saw the public man in his first administration, and we were impressed. Now in about 300,000 words we have seen the private man, and we are appalled." – Clayton Kirkpatrick, editor of the Chicago Tribune, a newspaper that published the entire transcript of Nixon’s released communications
A. The media shared real evidence and their opinions on it, which probably influenced citizen opinion. B. The media disapproved of the president’s private actions but still supported and re-elected him. C.The media rallied behind the president because of his great record during his first term in office. D. The media could not publish or discuss real evidence related to the president or the investigation. please help me.
the answer for u is
2 hours=120 minutes
You simply just do 120/100=1.2
So the answer is B. 1.23 or 1.2 (rounded) per minute
The graph of f ′ (x), the derivative of f of x, is continuous for all x and consists of five line segments as shown below. Given f (–3) = 6, find the absolute maximum value of f (x) over the interval [–3, 0].
Graph of line segments increasing from x equals negative 4 to x equals negative 3, decreasing from x equals negative 3 to x equals 0, increasing from x equals 0 to x equals 3, constant from x equals 2 to x equals 4 and decreases from x equals 4 to x equals 5. x intercepts at x equals negative 4, x equals 0, x equals 5.
3
4.5
6
10.5
Answers
Answer
10.5
Step-by-step explanation:
The other answer is correct until solving for C. f(-3) = 6, not -6. So C = 21/2. This makes f(0) = 10.5. Local Max should occur at x intercepts on the f'(x) graph.
Answer: 10.5
Step-by-step explanation: The other answer is correct until solving for C. f(-3) = 6, not -6. So C = 21/2. This makes f(0) = 10.5. Local Max should occur at x intercepts on the f'(x) graph. A fraction is a number that shows how many equal parts there are. When we write fractions, we show one number with a line above (or a slash next to) another number. For example, 14, 1⁄4 and 1/4.are different ways of writing the same fraction (in this case a quarter). The top number tells us how many parts there are, and the bottom number tells us the total number of parts. The top part of the fraction is called a numerator. The bottom part of the fraction is called a denominator. For example, for the fraction 14 the 1 is the numerator, and the 4 is the denominator.
The teacher bought new crayons for her class. She bought 7 packs of 9 crayons. She already has 17 crayons in her classroom. She wants to divide the crayons evenly between her 10 students. How many crayons will each student receive? Use c as the variable. Write an equation and solve the problem.
Answers
[tex](7 \times 9) + 17 = 10 \times c \\ 63 + 17 = 10 c \\ c = \frac{80}{10} = 8[/tex]
hope this helps
Given the geometric sequence where a_1 = 3 and r = √2 find a_9
A.] 48
B.] 48√2
C.] 64
D.] 64√2
Answers
where:
[tex]a_{n} [/tex] is the term we are looking for
[tex]a _{1} [/tex] is the first term
[tex]r[/tex] is the ratio
[tex]n[/tex] is the position of the number in the sequence
From the question we now that [tex]a _{1} =3[/tex], [tex]r= \sqrt{2} [/tex], and [tex]n=9[/tex]. Lets replace those values into our formula to get:
[tex]a _{9} =3( \sqrt{2} )^{9-1} [/tex]
[tex]a_{9} =3 \sqrt{2} ^{8} [/tex]
[tex]a_{9} =48[/tex]
We can conclude that in our geometric sequence [tex]a_{9} =48[/tex]; therefore, the answer is A.
If you have 240 homies and the Crips rolls up on your block poppin 128 of yo homies, how many homies do ya got left?
Answers
Answer:
You'll have 112 blood homies left
240b-128b=112b
112
A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden. The perimeter of his garden is meters.
Answers
Answer:
46, i did the assignment on edge hope this helps! :)
Step-by-step explanation:
On a coordinate plane, quadrilateral D G A R is shown. Point G is at (negative 8, 3), point A is (4, 8), point R is at (10, 0), and point (negative 2, negative 5).
A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden.
The perimeter of his garden is meters. 46
The Perimeter of garden as shown in the quadrilateral 46 units
Distance
The distance between two points is the amount of space between the points. From the quadrilateral:
[tex]AG=\sqrt{(8-3)^2+(4-(-8))^2}=13 \ units\\\\AR=\sqrt{(8-0)^2+(4-10)^2}=10 \ units\\\\GD=\sqrt{(-5-3)^2+(-2-(-8))^2}=10 \ units\\\\RD=\sqrt{(-5-0)^2+(-2-10)^2}=13 \ units\\[/tex]
Perimeter of garden = AG + AR + GD + RD = 13 + 10 + 13 + 10 = 46 units
The Perimeter of garden as shown in the quadrilateral 46 units
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What is the range of the function f(x) = –2(6x) + 3?
A) (-oo,-2)
B) (-oo,3)
C) [-2,oo)
D) [3,oo
Answers
Answer:
The range of the function is (-∞,3)
B is correct.
Step-by-step explanation:
Given: [tex]f(x)=-2(6)^x+3[/tex]
It is an exponential function which coefficient is negative.
Exponential function: [tex]f(x)=ab^x+c[/tex]
If a>0 then range (c,∞)
If a<0 then range (-∞,c)
[tex]-2(6)^x+3\rightarrow ab^x+c[/tex]
[tex]a=-2[/tex]
[tex]c=3[/tex]
Range: (-∞,3)
Hence, The range of the function is (-∞,3)
Given this proportion, what ratio completes the equivilent proportion a/8?
[tex] \frac{a}{b}= \frac{8}{15} [/tex]
Please show your work so that I know how to do this.
Answers
You have a/b=8/15, Then:
1. You must divide in both side of the given proportion by 8:
a/bx8=8/15x8
2. When you simplify, you obtain:
a/8b=1/15
3. Now, you must multiply both sides by "b", as below:
axb/8b=1xb/15
4. Finally, when you simplify, you have:
a/8=b/15
I'm confused on what this is asking me to do. Can someone explain to me, please?
Suppose you’re making a triangle where you know the measures of two angles and the length of the side between those two angles. Write two angle measures and the length of the side between them for your triangle. You can use any measurements you want as long as they could really be used to form a triangle.
Answers
the only thing is that, you have to use angles, and a side, that will be feasible to produce a triangle, meaning, the other two sides will at some point meet and close off the triangle.