[tex]5^2 - \left(\dfrac 14 \right)^2= 25 - \dfrac{1}{16} = \dfrac{400-1}{16} = \dfrac{399}{16}=24\dfrac{15}{16}[/tex]
sin^2(theta)(1+cot^2(theta))-1=0
Consider functions f and g
f(x)=(1=2)^×+1 g(x)= log(x - 1) +1 Using three iterations of successive approximation, what is the approximate solution where f(x) g(x)? Use the graph as a starting point.
Answer:
x=39/16
Step-by-step explanation:
I looked it up. Here's the source's explanation;
[tex]f(x)=(1/2)^x+1[/tex]
[tex]g(x)=log(x-1)+1[/tex]
[tex]f(x)=g(x)[/tex]
[tex](1/2)^x +1=log(x-1)+1[/tex]
[tex](1/2)^x=log(x-1)[/tex]
2^(-x)=log (x-1)
x=2.5018
x=39/16
Answer:
41/16
Step-by-step explanation:
took the text and got 100, good luck besties
One of the legs of a right triangle measures 5 cm and the other leg measures 11 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
c = 12.1 cm
Step-by-step explanation:
For this question, use the Pythagorean theorem.
a^2 + b^2 = c^2
Where a and b are the triangle's legs, and c is the hypotenuse.
(It doesn't matter what values you use for each for a and b)
a = 5 cm
b = 11 cm
c = ?
5^2 + 11^2 = c^2
25 + 121 = c^2
146 = c^2
square root both sides
√146 = √c^2
c = 12.08304 cm
But we need to the neasrest tenth then....
c = 12.1 cm
Rocio drops a ball from a height of 4 meters. Rocio observes that each time the ball bounces, it reaches a peak height which is 79% of the previous peak height, as shown at left. Which of the following equations correctly models the ball's peak height, h, in meters, after b bounces?
The exponential equation that correctly models the ball's peak height, h, in meters, after b bounces is given by:
[tex]H(b) = 4(0.79)^b[/tex]
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
Rocio drops a ball from a height of 4 meters, hence A(0) = 4.Each time the ball bounces, it reaches a peak height which is 79% of the previous peak height, hence 1 - r = 0.79.Thus, the equation is given by:
[tex]H(b) = 4(0.79)^b[/tex]
More can be learned about exponential equations at https://brainly.com/question/25537936
Scott is 5 years old. His Aunt Mary
is 4 times as old. In how many
years will Scott be half as old as
his aunt will be at that time?
Right now, Scott is 5.
His Aunt Mary is 4*5 = 20
We can solve this algebraically if your teacher requires to.
In x years, Scott will be half as old as his Aunt right now (which is 20).
5+x= 20/2
5+x=10
x=5
In 5 years Scott will be half as old as his aunt was.
The _____ of two sets X and Y is denoted by X-Y
Answer:
Cartesian product
Step-by-step explanation:
The Cartesian product of two sets, X and Y, denoted by X × Y, is the set of all ordered pairs (x, y), where x is an element of X and y is an element of Y: 8 (2.4.1) X × Y = { (x, y) ∣ x ∈ X ∧ y ∈ Y } For example, if Children = { Peter, Mark, Mary }, and Parents = { Paul, Jane, Mark, Mary }, then
john had thrice as many stickers as Ken. After Ken had given away 12 stickers to his brother, John had 5 times as many stickers as Ken. How many stickers did John and Ken have in the end?
The number of stickers John and Ken have in the end is 6 and 18 respectively.
How to write and solve equation?let
Ken stickers = xJohn stickers =3xNew stickers
Ken = x - 12John = 5xx + x - 12 = 3x + 5x
2x - 12 = 8x
-12 = 8x - 6x
-12 = -2x
x = 12/2
x = 6
So,
Ken stickers = x
= 6 stickers
John stickers = 3x
= 3 × 6
= 12 stickers
Learn more about equation:
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x y what is the y intercept of this table, please explain.
1 8
2 6
3 4
4 2
Step-by-step explanation:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
(1, 8)
(2, 6)
The slope between (1, 8) and (2, 6) is:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).
8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10
The distance between the points (1,2) and (x,-1) is 5 units. Find the possible values of x
Answer:
-3,5
Step-by-step explanation:
[tex]d = \sqrt{(x _{2} - x _1) {}^{2} + (y _{2} - y _{1} {} ) {}^{2} } [/tex]
[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 1 - 2) {}^{2} } [/tex]
[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2} } [/tex]
[tex]25 = (x - 1) {}^{2} + 9[/tex]
[tex]16 = (x - 1) {}^{2} [/tex]
[tex]4 = x - 1[/tex]
[tex]x = 5[/tex]
Or
[tex] - 4 = x - 1[/tex]
[tex]x = - 3[/tex]
Anthony's sink is shaped like a half-sphere, and it has a volume of 700m cubic inches.
It is completely full of water, and he has two different cylindrical cups he can use to
scoop it out
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a
diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him
to empty his sink using each cup?
You will need to use the small cup 9 times or the larger cup 2 times.
How many cups he needs to use of each one?
The volume of the sink is 700 in^3
The smaller cup is a cylinder with a diameter of 4 in and a height of 8 in, its volume is:
V = 3.14*(4in/2)^2*8in = 100.48 in^3
To remove all the water in the sink you will need:
N = 700 in^3/100.48 in^3 = 6.97 = 7
You will need to scoop the water 7 times.
For the larger cup, the diameter of 8 in and a height of 8 in, its volume is:
V' = 3.14*(8in/2)^2*8in = 401.92 in^3
You will need to scoop the water:
N' = 700 in^3/401.92 in^3 = 2 times.
If you want to learn more about volumes, you can read:
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6 cm
8 cm
13 cm
5.3 cm
-
What is the surface area?
Answer:
The surface area of what
pls try to send the image.
A flag is created by sewing together
Answer:
yes, a flag is created by sewing it together
Please help me ASAP
( I will mark brainliest )
Which equation represents the sentence, "The sum of three times p and twenty-five is q"?
A. (3 + 25) = q
B. 3(p + 25) = q
C. 3p – 25 = q
D. (3p + 25) = q
Answer:
D. (3p + 25) = q
Which of the following is equivalent to 1 and
5/8
Determine whether the following statement is true or false. If false, provide a counterexample. If two events are independent, then the probability of both events is less than 1
Answer:
TRue
Step-by-step explanation:
The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 mº. Find the dimensions of the rectangle.
Answer:
The dimensions of rectangle are 12 m and 4.5 mStep-by-step explanation:
Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²
Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle
[tex] \\ { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length × width}}}}}} \\ \\ [/tex]
Substituting values in above formula:
[tex] \\ \dashrightarrow \sf \: \: (3 + 2x)(x) = 54 \\[/tex]
[tex]\dashrightarrow \sf \: \: 3x + 2x^2 = 54 \\ [/tex]
[tex]\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\ [/tex]
[tex]\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\: [/tex]
[tex]\dashrightarrow \sf \: \: 2x(x + 6) -9(x + 6) = 0\\ [/tex]
[tex]\dashrightarrow \sf \: \: (2x -9)(x+6) = 0 \\ [/tex]
[tex]\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}} [/tex]
[tex]\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}[/tex]
Hence,
Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 mWidth of the rectangle = x = 4.5m[tex] \\ { \underline{ \pmb{ \frak{ \therefore Length \: and \: width \: of \: the \: rectangle \: is \:12 \: m \: and \: 4.5 \: m}}}} \\ [/tex]
Answer:
The dimensions of rectangle are 12 m and 4.5 mStep-by-step explanation:
Given :-
The length of a rectangle is 3 m more than twice the width the area of the rectangle is 54 m²To find :-
Dimensions of rectangleSolution:-
According to the question ,
Let the width of rectangle be x and length of rectangle be 2x+3 m
Area of rectangle :- L×B
L×B = 54m²
(2x+3) * x = 54m²
x = 4.5 m
By putting the value of x , we get
Length :- 2x+3 = 12 m
Width :- 4.5 m
Solve the following equation for x.
12x^2-36x=0
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:12 {x}^{2} - 36x = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:12 x({x}^{} - 3) = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:12x = 0 \: \: or \: \: x - 3 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 0 \: \: or \: \: x = 3[/tex]
Therefore, the possible values of x are 0 and 3
each of two computers can process bills at 160/min a newer model can process bills at 200/min after the first two computers have worked 1.5 min they are joined by the third computer how long will it take from the time the first two computers are turned on to process 1780?
Based on the rate at which all three computers process bills, the time taken for the computers to process 1,780 bills is 4 minutes.
What is the time taken to process 1,780 bills?First find the number of bills left when the third computer joined:
= 1,780 - (160 x 1.5 mins) - (160 x 1.5 mins)
= 1,300
Then the average speed of all three computers is:
= 160 + 160 + 200
= 520 bills per minute
The time taken to finish up the other bills would be:
= 1,300 / 520
= 2.5 minutes
Add this to the minutes already elapsed before the third computer was used:
= 2.5 + 1.5
= 4 minutes
Find out more on rate of work at https://brainly.com/question/24482367.
I need help on this question can someone help.
Answer:
G. (8,6)
Step-by-step explanation:
remember that EF is four times the length of DE
so the distance between E and D multiplied by 4 should equal F
16+32 as a product of two factors using gif and distributive property
16 + 32 = 16 x 1 + 16 x 2 = 16 x (1 + 2)
Help with this question pls
Answer:
Exact: [tex]4\sqrt{55}[/tex] m
Approximate: 29.7 m
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
[tex]9^2+b^2=(31\sqrt{5} )^2[/tex]
[tex]81+b^2=31^2(5)[/tex]
[tex]b^2=961-81[/tex]
[tex]b=\sqrt{880} =4\sqrt{55}[/tex]
[tex]4\sqrt{55}[/tex] ≈ 29.7 m
Hope this helps!
Please help me with this!!
Answer:
A, B, D, F
Step-by-step explanation:
Given expression: [tex]8^{\frac23}[/tex]
Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]
[tex]\implies 8^{\frac23}=(8^2)^{\frac13}[/tex]
Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]
[tex]\implies (8^2)^{\frac13}=\sqrt[3]{8^2}[/tex]
Therefore, option A
Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]
[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]
Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]
[tex]\implies (8^{\frac13})^2=(\sqrt[3]{8})^2[/tex]
Therefore, option B
Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]
[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]
As [tex]8^{\frac13}=2[/tex]
[tex]\implies (8^{\frac13})^2=2^2[/tex]
Therefore, option D
Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]
[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]
As [tex]8^{\frac13}=2[/tex]
[tex]\implies (8^{\frac13})^2=2^2[/tex]
[tex]\implies 2^2=4[/tex]
Therefore, option F
1. Which of the following is a true statement?
a. A perfect square is a number whose
square root is, an even number.
b. The inverse of squaring a number is to
divide the number by 2.
C. To square a number, multiply the number by
itself.
d. All of the above.
Thank you so much
Answer:
C. To square a number, multiply the number by itself.
Answer:
[C] To square a number, multiply the number by itself.
Step-by-step explanation:
To square a number you multiply it by itself.
Let's go through all answer:
[A] A perfect square is a number whose square root is, an even number.
Explain for [A]:
It incorrect because perfect squares can be odd or even
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[B] The inverse of squaring a number is to divide the number by 2.
Explain for [B]:
It incorrect because square roots are made by multiplying the number to itself.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[D] All of the above
Explain for [D]
Know that [A] and [B] is wrong you can know that [D] is 100% wrong.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Lenvy~
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
Answer:
x=3,2
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
Step-by-step explanation:
Sum = coefficient of x = -5
Product = constant * coefficient of x² = 1 * 6 = 6
Factors = (-2) , (-3)
When we multiply, (-2)*(-3) we get = +6 and we add (-2) + (-3) = -5
Using this factors rewrite the middle terms
x² - 5x + 6 = 0
x² - 3x - 2x + (-2)*(-3) = 0
x(x - 3) - 2(x - 3) = 0
(x - 3)(x-2)=0
x - 3 = 0 ; x -2 =0
x = 3 ; x = 2
Solution: x = 2 , 3
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album
for $9.99. She also wants to use the gift card to buy some songs. Each song costs
$1.29.
Which of these inequalities describes this situation, where n is the number of songs Lin
wants to buy?
a) 9.99 + 1.29n > 50
b) 9.99 + 1.29n < 50
c) 9.99 - 1.29n > 50
d) 9.99 - 1.29n < 50
Answer:
b i think because 50 minus 9.99 then 1.29 will be less than cuz it cant go over
GIVING BRAINLEST NO LINKS I ONLY CROWN RIGHT ANSWERS!
Select the expression that represents the following statement: The sum of 6 and 8 multiplied by 4.
Answ
Step-by-step explanation:
6 - 1 x 0 + 2 ÷ 2
Help meeee
Answer:
Answer is 1
Step-by-step explanation: 6-1= 5 5x0=0 0+2=2 2 divided by 2 is= 1
what is the volume of this cone? use 3.14 for pi in round your answer to the nearest 10th. In your answer, give the volume of the cone rounded to the nearest 10th, and explain how you calculated it.
Complete the equation that represents the proportional relationship shown in the table.
Enter your answer in the box.
y =
x y
2 8
3 12
7 28
Answer:
The x side is multiplying four each time to get the y side example 2x4=8 and so on
The equation would be x x 4= y
So hope this helps
The equation that represents the proportional relationship from the table is y=4x.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
The given table is
x y
2 8
3 12
7 28
Here, we can see when x increases y value also increases.
So, x and y are directly varies
Now, y∝x
y=kx -----(i)
k=y/x
k=8/2
k=4
Substitute k=4 in equation (i), we get
y=4x
Therefore, the equation that represents the proportional relationship from the table is y=4x.
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