the length of a rectangle is four times its width. the rectangle has an area of 1024cm. work out the width of the rectangle
Answers
Related Questions
88 POINTS AND WILL GIVE BRAINLIEST ITS ALGEBRA 1 DUE NOW
What is the factored form of the expression?
6g^2+5g-6
and
What is the factored form of the expression?
9x^2-18x+9
Answers
Answer & Step-by-step explanation:
1. (3g−2) (2g+3)
2. 9(x−1)^2
Sorry if wrong ;(
Hope this helps ;)
Answer:
(3g-2)(2g+3)
9(x-1)^2
Hope this helps
a 1 =−4a, start subscript, 1, end subscript, equals, minus, 4 a_i = a_{i - 1} \cdot 2a i =a i−1 ⋅2
Answers
The given equation is a recursive formula where a subscript i equals the product of a subscript i-1 and 2, with the initial value of a subscript 1 being -4a.
The equation represents a recursive relationship between the terms of the sequence. Starting with the initial term, a subscript 1, the subsequent terms are determined by multiplying the previous term, a subscript i-1, by 2. This recursive formula can be written as a subscript i = a subscript i-1 * 2.
Given that a subscript 1 = -4a, we can use this initial value to find the subsequent terms of the sequence. To calculate a subscript 2, we substitute i = 2 into the formula:
a subscript 2 = a subscript 2-1 * 2 = a subscript 1 * 2 = -4a * 2 = -8a.
Similarly, for a subscript 3:
a subscript 3 = a subscript 3-1 * 2 = a subscript 2 * 2 = -8a * 2 = -16a.
By applying the recursive formula repeatedly, we can generate the terms of the sequence. Each term is obtained by multiplying the previous term by 2.
Learn more about recursive formula here:
https://brainly.com/question/1470853
#SPJ11
Please help!!! What are the domain and range of the function?
Answers
Answer: Option D
Step-by-step explanation:
Step-by-step explanation:
As we know domain of a function is represented by x values on the graph and y values represents the range of the function.
From the given table domain will be the set of all real numbers.
Range of the same function will be y > 4
Option D is the answer. there you go o(*￣︶￣*)o it was hard to but now its easy
The waiting time to ride a roller coaster is 1/3 of an hour when 150 people are in line. How
long is the waiting time when 240 people are in line? Write an equation and solve.
Answers
Answer:
\( \frac{66}{125} \)
hours
Hope it helped
PLS mark BRAINLIEST
plz help me asap I just need to know the equation also it can be A) or C)
Answers
Answer:
C) Y=15X
Step-by-step explanation:
Y is the total donations and x is each free throw, every free throw, $15 is donated. For a it is saying no matter if there is a free throw or not $15 dollars is donated and b is saying the free throws depend on the total amount multiple by 15 which doesn't make sense
Answer:
the answer is not a
Step-by-step explanation:
S'y afin buys 12 cookies .He gives 3.1 of the cookies to his mother. He gives 6.1 of the cookies to his brother. a)How many cookies does he give to his mother? b)How many cookies does he give his younger brother ?
Answers
It should be percent
He has 12 cookies.He gives 31% to his mother.He gives 61%to his brother.Mother:-
\(\\ \sf\longmapsto 31\%\:of 12\)
\(\\ \sf\longmapsto 0.31(12)\)
\(\\ \sf\longmapsto 3.72\)
\(\\ \sf\longmapsto 4(Approx)\)
Brother:-
\(\\ \sf\longmapsto 0.61(12)\)
\(\\ \sf\longmapsto 7.32\)
\(\\ \sf\longmapsto 7(Approx)\)
Light ray 1 strikes the surface, separating air and water as shown below.
A horizontal line is drawn and the part above the line is labeled Air and the part below the line is labeled Water. There is one slanting ray labeled 1 which falls on the line at a point and there are four rays of light labeled 2, 3, 4, and 5 which move away from same point on the line. Ray 5 is exactly vertical to the line and below the line, ray 4 is on the right of ray 5 and makes an angle of about 25 degrees with ray 5. Ray 3 is above the line and makes an angle of about 25 degrees with the line. Ray 2 is on the right of ray 1 and ray 1 and ray 2 make angles of about 25 degrees with the vertical at the point where ray 1 strikes.
Which of the following is the refracted ray for ray 1?
Ray 2
Ray 3
Ray 4
None, ray 1 is not refracted
Answers
The correct option is Ray 2.When light passes from one medium to another of different optical densities, it bends from its initial path, this bending is called refraction.
The amount of refraction is determined by the refractive index of the media. The refractive index of the media is the ratio of the speed of light in the medium to the speed of light in a vacuum. The refracted ray for ray 1 is Ray 2.The direction of light in air or vacuum will change when it enters water.
The angle of incidence of the light ray and the angle of refraction of the light ray will determine how much the direction will change. Because light moves from a medium with a lower index of refraction (air) to one with a higher index of refraction (water), the ray is bent away from the normal as it enters the water.
The incident ray 1 in air, the refracted ray 2 in water, and the normal line, are in the same plane. The angle of incidence and angle of refraction are related through Snell's law, which states that n1 sin θ1 = n2 sin θ2, where n1 and n2 are the indices of refraction in the incident and refracted media.
The refracted ray 2 will be bent towards the normal. Thus, the correct option is Ray 2.
For more question on refraction
https://brainly.com/question/27932095
#SPJ8
Find the indicated value using the given functions
Answers
The correct option is b: 2 ∛(5 - 1) , is the value of the composite inverse function.
What is meant by the inverse of the function?An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function "f" takes x to y, then its inverse will take y to x. The inverse function is signified by f-1 or F-1 if the function is signified by 'f' or 'F'. Here, (-1) should not be confused with exponent or reciprocal.For the given question,
The functions as given as;
f(x) = x/3 + 1
g(x) = x³
Now, the find the composite function f o g (x).
Put the value of g(x) at the place of x in f(x).
f o g (x) = x³/8 + 1
Let the obtained composite function be y.
y = f o g (x) = x³/8 + 1
Find the value of x in terms of y.
y = x³/8 + 1
y - 1 = x³/8
8(y - 1) = x³
taking cube root.
x = 2 ∛(y - 1)
Now, substitute the value of x in place of y.
(f o g )⁻¹(x) = 2 ∛(x - 1)
Now, put the value of x as 5.
(f o g )⁻¹(x) = 2 ∛(x - 1)
(f o g )⁻¹(5) = 2 ∛(5 - 1)
Thus, the value of the composite inverse function is obtained as 2 ∛(5 - 1).
To know more about the inverse of the function, here
https://brainly.com/question/3831584
#SPJ13
. You want to buy some underwear. A
package of 8 costs $3.12. A package of 15
costs $6.15. A package of 20 costs $7.60.
Which package is the best buy?
Answers
Answer:
the second
Step-by-step explanation:
Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work. I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t.
Answers
Answer:
$266.60
Step-by-step explanation:
Select the correct answer.
Which expression represents a quadratic expression in complete factored form?
Α.
(x + 4)(x-3)
B.
(2x+4)(x+3)
C.
(x - 1)(3x-9)
D.
(x-2) + (x + 3)
Answers
Answer:
C. (x + 4)(x − 3)
Step-by-step explanation:
A quadratic expression in complete factored form can be written as the product of two linear factors, where each factor is in the form of (ax + b). The expression (x + 4)(x - 3) is in this form and can be expanded to the quadratic expression x^2 + x - 12.
Option A is a sum of two linear expressions, but it is not factored. Option B is a product of two linear expressions, but it can be simplified to the quadratic expression 3x^2 - 3x. Option D is a product of two linear expressions, but it can be simplified to the quadratic expression 2x^2 + 10x + 12.
Choose ALL answers that describe the quadrilateral TUVW if TU || VW,
UV || WT, TV = UW, and diagonals are perpendicular: TV LUW.
Parallelogram
Rectangle
□ Rhombus
Square
Trapezoid
Answers
The given quadrilateral is found to be a square. The correct option is (D).
What is a parallelogram?A parallelogram is a type of quadrilateral of which the opposite sides are equal and parallel. A diagonal of a parallelogram divides it into two congruent triangles.
For the quadrilateral TUVW the data is given as,
TU || VW, UV || WT, TV = UW and TV ⊥ UW.
Here, TU and VW are pairs of opposite side.
And, TV and UW are diagonals.
Now, the pair of opposite sides are parallel.
Which implies it is a parallelogram.
Again, the equality of diagonals implies it is rectangle.
Then, the perpendicular nature of diagonals satisfy the condition for a square.
Hence, the given quadrilateral is a square.
To know more about parallelogram click on,
https://brainly.com/question/19187448
#SPJ1
someone that could help me with this?
Answers
Answer:
. ...................... ........
Given the function f(x)=7x-4 find f(3)
Answers
Answer:
17
Step-by-step explanation:
f(x)=7(3)-4 Distributive Property
f(x)=21-4 Subtract
f(x)=17
The value of f(3) is 17
what is function?Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Given:
f(x)=7x-4
Now for x=3
f(3)= 7*3-4
=21-4
=17
Hence, the value of function is 17.
Learn more about function here:
https://brainly.com/question/12431044
#SPJ2
Please help I need it now please and thank you
Answers
Answer:
It would be the first one or second one
Step-by-step explanation:
the answer is up ahead
a quadrilateral with vertical at A(4,-4), B(4,-16),C(12,-16), and D(12,-4) has been dilated with a center at the origin.The image of D, point D’ has coordinates (36,-12). What is the scale factor of the dilation?
Answers
Let's start with point D. The distance between the origin and point D is:
sqrt((12-0)^2 + (-4-0)^2) = sqrt(144 + 16) = sqrt(160)
The distance between the origin and point D' is:
sqrt((36-0)^2 + (-12-0)^2) = sqrt(1296 + 144) = sqrt(1440)
So the scale factor for the dilation with respect to point D is:
sqrt(1440) / sqrt(160) = 3
Similarly, we can find the scale factor for the other points in the quadrilateral:
For point A, the distance ratio is: sqrt((4-0)^2 + (-4-0)^2) / sqrt((0-0)^2 + (0-0)^2) = sqrt(32) / 0 = undefined (since the origin is the center of dilation and we cannot divide by zero).
For point B, the distance ratio is: sqrt((4-0)^2 + (-16-0)^2) / sqrt((0-0)^2 + (0-0)^2) = 4.
For point C, the distance ratio is: sqrt((12-0)^2 + (-16-0)^2) / sqrt((0-0)^2 + (0-0)^2) = 4.
Since the scale factor is the same for all points, we can conclude that the quadrilateral was dilated by a scale factor of 3 with respect to the origin.
Answer the questions below about the quadratic function. g(x) = 3x ^ 2 - 6x + 5
Answers
In order to find a critical value (maximum or minimum) we need to compute the first derivative, which is given by
\(\frac{d}{dx}g(x)=6x-6\)Then, a critical value ocurrs when
\(\frac{d}{dx}g(x)=0\)which implies that
\(6x-6=0\)So by adding 6 to both side, we have
\(\begin{gathered} 6x=6 \\ then \\ x=\frac{6}{6} \\ x=1 \end{gathered}\)Therefore, there is a maximum or minimum at x=1.
In order to see if the point represents a maximum or minimum, we need to find the second derivative of our function, which is given by
\(\frac{d^2}{dx^2}g(x)=6\)We have that if the second derivative is positive, the point represents a minimum and if it is negative, the point represents a maximum. In our case, since the second derivative is greater than zero (positive number) there is a minimum point at x=1. Then, by substituting this values into the function, we get
\(\begin{gathered} g(1)=3(1^2)-6(1)+5 \\ g(1)=3-6+5 \\ g(1)=2 \end{gathered}\)so the minimum point is located at (1,2).
Therefore, with the above information, the answers are:
Does the function have a minimum or maximum values? Answer: Minimum
Where does the minimum or maximum value occur? Answer: x=1
Whats is the funtion's minimum or maximum values? Answer: 2
Solve for y. y - 2 = 4x + y
Answers
Answer:
y= -2=4x
Step-by-step explanation:
What are the solutions to the equation 3(x-4)(x+5)=0
Answers
Answer:
the solutions are 4 and -5
Step-by-step explanation:
\(3(x-4)(x+5)=0\\\\(x-4)(x+5)=0\\\\x-4=0\\\\x=4\\\\x+5=0\\\\x=-5\)
given the sequence: 4; x ; 32 determine the value(s) of x if the sequence is geometric
Answers
Answer:
The possible values of x are ±8 sqrt(2)
Step-by-step explanation:
To find the value of x, we find the geometric mean
sqrt(32*4 )= sqrt(128) = ±8 sqrt(2)
The possible values of x are ±8 sqrt(2)
help me and when you are done
have a blessed day god blesses you
Answers
Answer:
False
Step-by-step explanation:
The left side −28 does not equal to the right side 22 , which means that the given statement is false.
3. Find the values of x and y given this diagram
Answers
Answer:
Step-by-step explanation:
5y and 45 are supplementary. They add to 180 degrees.
5y + 45 = 180 Subtract 45 from both sides.
-45 -45
5y = 135 Divide by 5
/5 /5
y = 27
2x+ 1 and 45 are vertically opposite which means they are equal.
2x+1 = 45 Subtract 1 from both sides
2x + 1 -1 = 45-1
2x = 44 Divide by 2
/2 /2
x = 22
Answer
x = 22y = 273x=1/81 what is the value of x?
Answers
Answer:
hello
3x = 1/81
x = 1/ 81*3
x = 1/243
Step-by-step explanation:
Answer:
x=(1/81)/3
x=1/243
Step-by-step explanation:
Karla needs to convert 16 oz to cups. She knows that 8 liquid oz 5 1 c. Her work is shown. The rate is 8 oz per cup.Because 16 3 8 5 128, the number of cups is 128. Is Karla correct? Explain your answer.
Answers
Answer:
16 fluid ounces = 2 cups
Step-by-step explanation:
1 cup = 8 fluid ounces
The double number line below shows the approximate number of pounds in a certain number Kilogramss 5 Pounds Based on the number line, about how many pounds are there in 4.5 klograms?
1. 8
2. 9
3. 10
4. 11
Answers
Answer:
2
Step-by-step explanation:
Answer:
2. 9
Step-by-step explanation:
If you look at the chart, for 1.5 kilograms, there are 3 pounds, for 2.5 kilograms, there are 5 pounds, and for 3.5 kilograms there are 7 pounds. If you continue the pattern, you will have 4.5 kilograms equal to 9 pounds.
Also, if you look at the chart, the spot where 4.5 would be is where 9 is, if you want to check your work.
A quadratic and a curvilinear term are the same thing.
True
False
Answers
A curvilinear term in mathematics is "Consisting of, bounded by, or characterized by a curved line." However, the definition of a quadratic is a second-order polynomial equation in a single variable \(0= ax^{2}+bx+c\) with
\(a\neq 0\). A quadratic is a curvilinear term according to my definition, but a function like \($x^{4}$\) would also fit the definition of curvilinear. So, your answer is
False, a quadratic and a curvilinear term are not the same.
False, a curvilinear term is more broad, but quadratics have specific restrictions.
Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?
Answers
Answer:
The coordinates of D is (-4,-9)
Step-by-step explanation:
Given
C = (2,7)
M=(-1,-1) ----- Missing part of question
Required
Determine the coordinates of D
Let the coordinates of D be (x₂,y₂)
We'll solve this question using mid point formula;
\(M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)
Where
\(C(x_1,y_1) = (2,7)\) and \(M(x,y) = (-1,-1)\)
Put these values in the formula
\((-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})\)
By comparison;
\(-1 = \frac{2+x_2}{2}\) and \(-1 = \frac{7+y_2}{2}\)
\(-1 = \frac{2+x_2}{2}\)
Multiply both sides by 2
\(-2 = 2 + x_2\)
Subtract 2 from both sides
\(-2 -2 = x_2\)
\(x_2 = -4\)
\(-1 = \frac{7+y_2}{2}\)
Multiply both sides by 2
\(-2 = 7 + y_2\)
Subtract 7 from both sides
\(-2 - 7 = y_2\)
\(y_2 = -9\)
Hence, the coordinates of D is (-4,-9)
i just need an answer pls
Answers
The area of the regular octogon is 196.15 square inches.
How to find the area?For a regular octogon with apothem A and side length L, the area is given by:
area =(2*A*L) * (1 + √2)
Here we know that:
A = 7in
L = 5.8 in
Replacing these values in the area for the formula, we will get the area:
area = (2*7in*5.8in) * (1 + √2)
area = 196.15 in²
Learn more about area at:
https://brainly.com/question/24487155
#SPJ1
there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
Answers
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
for more question on probabilities visiT:
https://brainly.com/question/25839839
#SPJ8
Help asappppp hbshhshshhshshsshshshs
Answers
9 on the top as well so 9 x 2 18 3x2 6 3