Exponential functions include numbers that are doubled. For example, an ordered pair such as (2, 4), (3, 8), (4, 16) the y values are doubled, so it is an exponential funcion.
What is mZS?
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m∠S = 45°
Solution:
Given ∠R = 3x°, ∠S = 2x°, ∠T = 3x°.
Sum of the angles of a triangle = 180°
⇒ m∠R + m∠T + m∠S = 180°
⇒ 3x° + 3x° + 2x° = 180°
Adding all the angles.
⇒ 8x° = 180°
Divide both sides of the equation by 8, we get
⇒ x° = 22.5°
Substitute x = 22.5° in m∠S.
⇒ m∠S = 2 × 22.5°
⇒ m∠S = 45°
Hence, m∠S = 45°.
What is the cube root of 27x18?
Final answer:
The cube root of 27x18 is 3x6, determined by taking the cube root of each term, with 27 yielding 3 and the x18 exponent reduced by a factor of 3 to x6.
Explanation:
The question posed is, "What is the cube root of 27x18?" To solve this, we need to break down the expression and compute the cube root of both terms separately. The cube root of 27 is 3 because 33 = 27. For the variable x raised to the 18th power, taking the cube root means we divide the exponent by 3, which gives us x6. Therefore, the cube root of 27x18 is 3x6.
What is 7x-4y-8-3x-8y+12
Answer: total comes to 4X - 12Y + 4
Step-by-step explanation:
Answer:
7x - 4y - 8 -3x - 8y + 12
Step-by-step explanation:
7x - 3x = 4x
-4y - 8y = 12y
-8 + 12 = 4
4x - 12y + 4
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Help i dont understand
The given equation in standard form is:
[tex]3x+5y=7[/tex]
Step-by-step explanation:
Given equation is:
[tex]x = -\frac{5}{3}y+\frac{7}{3}[/tex]
The standard form of linear equation is:
[tex]Ax+By = C[/tex]
In order to convert the given equation in standard form
Multiplying both sides by 3
[tex]3x = -5y+7[/tex]
Adding 5y on both sides
[tex]3x+5y = -5y+5y+7\\3x+5y = 7[/tex]
Hence,
The given equation in standard form is:
[tex]3x+5y=7[/tex]
Keywords: Linear equation, variables
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the perimeter of a equilateral triangle is 63 inches. If the length of each side is (4x+3),find the value of x
Answer:
Step-by-step explanation:
each side is 21 inches long.
4x+3=21
subtract 3 from both sides
4x=18
x=4.5
Answer:
4.5
Step-by-step explanation:
Since its an equilateral triangle, all the sides are equal.
SO, you can set up the equation:
3 ( 4x + 3 ) = 63
Start by disributing
12x + 9 =63
Subtract 9 from each side to isolate the variable
12x = 54
Divide both sides by 12
x = 4.5
Subtract 5x+10 from 2x-6 please answer
Answer:
-3x-16
Step-by-step explanation:
(2x-6)-(5x+10)
2x-6-5x-10
2x-5x-6-10
-3x-6-10
-3x-16
Martell wants to use is calculator to find the value of X when Y equals 22 in the equation Y equals 100 - 3X. Explain how he can use each table or graph to find the value Of X when 100 -3X equals 22.
A guy-wire extends from the top of a cell phone tower to a point on the ground that is 25 ft from the base of the tower. What is the approximate length of the guy-wire if the height of the cell phone tower is 75 ft?
Answer:
79.1 ft. I just took the test and got it correct. (:
To find the length of the guy wire attached to a cell phone tower, use the Pythagorean theorem to calculate the total length of the wire. In this case, the approximate length of the guy wire is about 79.06 ft.
The length of the guy-wire can be calculated using the Pythagorean theorem.
First, find the height of the guy-wire, which is the same as the height of the tower: 75 ft.
Next, use the Pythagorean theorem to find the length of the guy-wire: Guy-wire length = [tex]\sqrt{(752 + 252)}[/tex] = [tex]\sqrt{(5625 + 625) }[/tex]= [tex]\sqrt{6250}[/tex] = 79.06 ft (approximate).
A 20-pound bag of dog food costs $16. What is the unit price per pound?
Answer:
0.8
Step-by-step explanation:
To calculate the cost of any item per pound, divide the cost of the item by its weight in pounds: cost ÷ pounds = cost per pound.
Hope This Helped!!
Answer:
0.8 is the unit price per pound
Step-by-step explanation:
If you divide the price ($16) by the amount (20 pounds) then you will get the unit price per pound (0.8)
So, 16 ÷ 20 = 0.8
What is the easiest was to do algebra
Answer:
Step-by-step explanation:
Provide problems and we're here to help.
Answer:
write the problem, decide whether you use add or sub.,add or sub. the constant on both sides, eliminate the coefficients of the variable, last solve for the variable.
Step-by-step explanation:
For what values of x and y must ABCD be a parallelogram?
The values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal and we are asked to find the value of x and y.
We are given that angle A = 3y angle B = 3x , angle C = y + 78 and angle D = 4x - 21
Now as we know that the opposite angles are going to be equal.So,
angle A = angle C
3y = y + 78
2y = 78
y = 39
So, the value of y is going to be 39 degrees.
Similarly, we can also find the value of x.
angle B = angle D
3x = 4x - 21
-x = -21
x = 21
So, the value of x is going to be 21 degrees.
Hence, the values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.
twice the quantity x plus 2 is equal to 3 less than x
80Points!
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and after you answer this
if you could be so kind as to aswer my last question that would mean the world!
its has 30points on it!
The information given represents lengths of sides of a right triangle with c the hypotenuse.
Find the correct missing length to the nearest hundredth.
a = ?, b = 11, c = 17
can you please help me find the length of A?
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=17^2-11^2[/tex]
[tex]\\ \sf\longmapsto P^2=289-121[/tex]
[tex]\\ \sf\longmapsto P^2=168[/tex]
[tex]\\ \sf\longmapsto P\approx 13[/tex]
Answer:
H=17B=11P=?Using Pythagorean theorem
Step-by-step explanation:
k(2) = 6x + 100
k(-5) =
Answer:
70
Step-by-step explanation:
To evaluate k( -5), substitute x = - 5 into k(x)
k(−5)=(6×-5)+100=−30+100=70
X 1 2 3 4 5 Y 1 3 5 7 9
Given the table, write an expression for the function, and describe what it does.
A) y= 2x. Y is double x.
B) y= 3x. Y is triple x.
C) y= 2x + 1. Y is twice x plus 1.
D) y= 2x -1. Y is twice x minus 1.
The function that correctly represents the pattern in the given table is y = 2x + 1, which means that, for each input X, you multiply by 2 and then add 1 to obtain output Y.
Explanation:The table of values given indicates a linear relationship between X and Y. If we look closely, we can see that for every unit increase in X, Y increases by 2 units. This pattern indicates that the function is characterized by the equation y = 2x + 1.
So, the correct answer is C) y = 2x + 1. This means that Y is twice the value of X plus 1. In simpler terms, we multiply the input variable (X) by 2 and then add 1 to determine the output (Y).
None of the other given function expressions correctly describe the pattern observed in the table.
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The expression for the function is y=2x. Y is double x.
Explanation:The function that relates the values of X and Y in the given table is y = 2x. This means that the value of Y is twice the value of X. For example, when X=3, Y=6 because 2*3=6. This pattern holds true for all the other values in the table.
Option A) y= 2x is the correct expression for this function as it shows that Y is double X. Therefore, the answer to this question is A) y= 2x. Y is double x.
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8(5s-13)-16(2s+6)=0
Answer:
s=25
Step-by-step explanation:
8(5s-13)-16(2s+6)=0
40s-104-32s-96=0
40s-32s-104-96=0
8s-104-96=0
8s-200=0
8s=0+200
8s=200
s=200/8
s=25
Answer: s=25
Step-by-step explanation:
this is an easy question: amani saw a sale of $3.60 for 6 bottles of soda. how much would she pay if she only wanted to buy 1 bottle?
Answer:0.6 cents
Step-by-step explanation:
For a school play the teacher asked the class to set up chairs in 20 rows with 25 chairs they were 5 chairs short how many chairs did the class set up
Answer:
Step-by-step explanation:
The original amount there should be:
20 x 25 = 500
Take the extra 5 chairs and subtract it from the original amount, 500.
500 - 5 = 495
Therefore, the amount of chairs that got set up would be 495.
I hope this helped! :)
help me solve for 1,2,3,and 4 PLEASE
1.[tex](-7,-3)[/tex]
2.[tex][5,\alpha )[/tex]
3.[tex](-4,-\alpha )[/tex]
4.[tex](-1,0)[/tex]
Explanation
a shaded circle in number line indicates that the number in the shaded point is also included in the interval. In the interval notation this limit is expressed using a square bracket.
A circle that is not shaded in a number line indicates that the number is not included in the interval. In interval notation a bracket is used to represent that point on the number line.
An arrow shows the extension to negative or positive infinity. The symbol [tex]\alpha[/tex] is used to represent infinity and is always included in bracket.
Please help!!! Need ASAP
Answer:
1=R, 2=O, 3=A, 4=D
Step-by-step explanation:
why 2+2=4 and not 2+2=22 ?
2 + 2 = 4 because 4 is a sum of 1-digit numbers
2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers
Step-by-step explanation:
Lets explain some important notes:
The 1-digit number consists of one digit, 4 is a one-digit numberThe 2-digit number consists of two digits, ones digit and tens digit, 23 is a 2-digit number, the ones digit is 3 and the tens digit is 2, so its value is 20 + 3The 3-digit number consists of ones digit, tens digit and the hundreds digit, 123 is a 3-digit number, the ones digit is 3, the tens digit is 2 and the hundreds digit is 1, so its value is 100 + 20 + 3∵ 2 + 2 is the addition problem of two 1-digit numbers
∴ There sum will be 4 which is also 1-digit number
∴ 2 + 2 must be 4
∵ 22 is a two digit number
∴ Its value is 20 + 2 ⇒ not 2 + 2
∴ 2 + 2 can not be 22
2 + 2 = 4 because 4 is a sum of 1-digit numbers
2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers
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The ellipse with x-intercepts (2, 0) and (-2, 0); y-intercepts (0, 4) and (0, -4).
Answer:
[tex]\dfrac{x^2}{4}+\dfrac{y^2}{16}=1[/tex]
Step-by-step explanation:
If the ellipse has its x-intercepts at points (2, 0) and (-2, 0) and y-intercepts at points (0, 4) and (0, -4), then its symmetric across the y-axis and across the x-axis.
Moreover,
[tex]a=2\\ \\b=4[/tex]
The equation of such ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]
Hence, the equation of the ellipse is
[tex]\dfrac{x^2}{2^2}+\dfrac{y^2}{4^2}=1\\ \\ \\\dfrac{x^2}{4}+\dfrac{y^2}{16}=1[/tex]
How to solve 8(3p-1)+9=3(p+2)-1 ?
Answer:
4/21
Step-by-step explanation:
1. distribute
24p-8+9=3p+6-1
2. combine like terms on each side
24p+1=3p+5
3. solve for p
21p=4
p=4/21
Which of the following describes the transformation of g (x) = 3 (2) Superscript negative x Baseline + 2 from the parent function f (x) = 2 Superscript x?
reflect across the x-axis, stretch the graph vertically by a factor of 3, shift 2 units up
reflect across the y-axis, stretch the graph vertically by a factor of 2, shift 3 units up
reflect across the x-axis, stretch the graph vertically by a factor of 2, shift 3 units up
reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up
Option d: reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.
Step-by-step explanation:
The parent function is [tex]f(x)=2^{x}[/tex]
The transformation function is [tex]g(x)=3(2)^{-x} +2[/tex]
In the transformed function, the function is added +2, which shifts the graph by 2 units up.
Also, the function is multiplied by 3, which stretches the function [tex]f(x)=2^{x}[/tex] vertically by a factor of 3 units.
The variable x is multiplied by -1, such that the function reflects across y-axis.
Thus, the correct answer is option d.
The graph is attached below which shows the parent function and the transformed function.
The transformation function is reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.
Answer:
d
Step-by-step explanation:
What is 7,014,999,999 rounded to the nearest hundred thousand?
I need the help in fast
Answer:
Step-by-step explanation:
7,014,999,999 rounded to the nearest hundred thousand
7,015,000,000 <===
Describe the relationship between the 5 in 11.205 and the 5 in 5.32. Write 2 different statements using "times the value.
Final answer:
The 5 in 11.205 is in the thousandths place and represents 0.005, while the 5 in 5.32 is in the units place, representing 5. The 5 in 5.32 is one thousand times the value of the 5 in 11.205, and vice versa.
Explanation:
The relationship between the 5 in 11.205 and the 5 in 5.32 can be described in terms of their place values. In the number 11.205, the 5 is in the thousandths place, which means it represents 5 thousandths or 0.005. In the number 5.32, the 5 is in the units place, which means it represents 5 ones or simply 5.
To compare their values, we can say that the 5 in 5.32 is one thousand times the value of the 5 in 11.205 because 5 divided by 0.005 equals 1000. Alternatively, we could say the 5 in 11.205 is one thousandth the value of the 5 in 5.32.
These comparisons are based on the understanding of place value in decimal numbers, where each position to the left or right of the decimal point represents a power of 10. Therefore, the value of a digit is determined by its position relative to the decimal point.
glen bakes 16 cookies. Alice bake 32 cookies.they put cookies into each bag. how nqny bags of cookies do they make?
Answer:
The number of bags of cookies do they make together is 11 .
Step-by-step explanation:
Given as :
The number of cookies baked by Glen alone = x = 16 cookies
The number of cookies baked by Alice alone = y = 32 cookies
Let the number of cookies baked by both together = z cookies
Now, According to question
Number of cookies baked by both together = number of cookies baked by Glen alone + number of cookies baked by Alice alone
Or, [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{x}[/tex] + [tex]\dfrac{1}{y}[/tex]
Or, [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{16}[/tex] + [tex]\dfrac{1}{32}[/tex]
Taking LCM
[tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{2 + 1}{32}[/tex]
Or, [tex]\dfrac{1}{z}[/tex] = [tex]\frac{3}{32}[/tex]
Or, z = [tex]\dfrac{32}{3}[/tex]
i.e z = 10.67 ≈ 11
So, The number of bags of cookies do they make together = z = 11
Hence, The number of bags of cookies do they make together is 11 . Answer
what is one half of 9
Answer:
Step-by-step explanation:
1/2 of 9
" of " in math means multiply
1/2 * 9 = 9/2 or 4 1/2 or 4.5
I’d your percent discount is 25% and your sales price is $40, how do you find the original price
Answer:
40
Step-by-step explanation:
Explicit equation for the nth term of the geometric sequence 3584,896,224,
The explicit equation for the nth term of the geometric sequence 3584, 896, 224 is:
[tex]a_n=3584(0.25)^{n-1}\\\\\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]
Solution:
Given that we have to find the explicit equation for nth term of geometric sequence
Given sequence is:
3584, 896, 224
A geometric sequence has a common ratio
Let us find the common ratio. Divide each term by the previous term.
[tex]r=\frac{896}{3584} = 0.25\\\\r = \frac{224}{896} = 0.25[/tex]
Thus the common ratio is 0.25
The formula for nth term of geometric sequence is given as:
[tex]a_n=ar^{n-1}[/tex]
Where,
[tex]a_n[/tex] is the nth term of sequence
a is the first term of sequence
r is the common ratio
Here in given sequence 3584, 896, 224
first term = a = 3584
common ratio = r = 0.25
Therefore,
[tex]a_n=3584(0.25)^{n-1}[/tex]
[tex]\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]
"n" is a natural positive number greater than or equal to 1
Thus the explicit equation to find nth term is found