the length of a door is 1.8 feet longer than it's width, and it's front area is 1504.6 square feet. find the width and height of the door
Answer:
width: 37.9 ft
height: 39.7 ft
Step-by-step explanation:
Sometimes it is easier to work these problems by finding the average of the length and width. If that value is x, then the length is x+0.9, and the width is x-0.9. The area is ...
A = LW
1504.6 = (x +0.9)(x -0.9) = x^2 -0.81
1505.41 = x^2
x = √1505.41 ≈ 38.7996
width = x -0.9 = 38.8 -0.9 = 37.9
height = 38.8 +0.9 = 39.7
The width of the door is approximately 37.9 ft; the height is about 39.7 ft.
Which function is a translation of the parent absolute value function?
(will give branliest)!!!!
Answer:
f(x)=|x+6|
Step-by-step explanation:
it moves 6 to the left!
What is the value of xif e3x+6 - 8?
O x-
In 8-6
3
OX-
In 6-8
3
OX-
In 8+6
3
OX-
In 6+8
3
The value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]
Given the exponential function [tex]e^{3x+8}=8[/tex]
Take the natural logarithm of both sides:
[tex]lne^{3x+8}=ln8\\3x +8=ln8[/tex]
Subtract 8 from both sides:
[tex]3x-8+8=ln8-8\\3x=ln8-8[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3} =\frac{ln8-8}{3}\\x= \frac{ln8-8}{3}[/tex]
Hence the value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]
Learn more on exponential functions here: https://brainly.com/question/12940982
Which of the following expressions has a "x" term with a coefficient of 1?
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that has a "x" term with a coefficient of 1 is the expression that has positive one in from of the term that has x in the expression.
Now, If all the options are observed, then it can be found that the second option has x term with leading coefficient as 1.
Hence, the correct option is B.
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4x+2=5x-1
Find solution to the equation
Answer:
3
Step-by-step explanation:
4x+2=5x-1
4x - 5x = -1 -2
x = 3
find the value of x {0<x<(π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2
In attachment I have answered this problem.
The value of x {0 < x < (π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2 is x = π/4.
Since cos x /(cosec x + 1) + cos x /(cosec x - 1) = 2
Taking the L.C.M (cosecx + 1)(cosecx - 1), we have
[cosx(cosecx - 1) + cosx(cosecx + 1)]/(cosecx + 1)(cosecx - 1) = 2
[cosxcosecx - cosx + cosxcosecx + cosx]/(cosec²x - 1²) = 2
[cosx/sinx - cosx + cosx/sinx + cosx]/(cosec²x - 1²) = 2
[cotx - cosx + cotx + cosx]/(cosec²x - 1) = 2
collecting like terms, we have
[cotx + cotx + cosx - cosx ]/(cosec²x - 1) = 2
[2cotx + 0]/(cosec²x - 1) = 2
2cotx/(cosec²x - 1) = 2
cotx/(cosec²x - 1) = 1
Since cot²x + 1 = cosec²x ⇒ cot²x = cosec²x - 1
So, cotx/(cosec²x - 1) = 1
cotx/cot²x = 1
1/cotx = 1
tanx = 1
Taking inverse tan of both sides, we have
x = tan⁻¹(1)
x = 45°
x = 45 × π/180
x = π/4
So, the value of x {0 < x < (π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2 is x = π/4.
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A manager at a restaurant can buy hamburger buns in
packages of 8 and hamburger patties in packages of 6.
Suppose that the manager cannot buy part of a package.
What is the least number of packages of each product
he can buy to have an equal number of hamburger patties
and buns?
PLEASE INCLUDE MULTIPLES OF 8 AND 6 ALL THE WAY UNTIL YOU GET A NUMBER THAT IS THE SAME ON BOTH
Answer: 24
Step-by-step explanation
8-8-16-24-32-40
6-6-12-18-24-30-36
How to find the derivative???
[tex]e^{2x} = \ln(y^3)\\\\\implies e^{2x} = 3 \ln y\\\\\implies \dfrac{d}{dx} e^{2x} = 3\dfrac{d}{dx}( \ln y)\\\\\implies 2e^{2x} = 3 \cdot \dfrac 1y \cdot \dfrac{dy}{dx}\\\\\implies 3\dfrac{dy}{dx} = 2ye^{2x}\\\\\implies \dfrac{dy}{dx} = \dfrac{2y}3 e^{2x}[/tex]
What is the slope of the line that passes through the points (4,1) and (6, 2)?
Answer:
1-2
Step-by-step explanation:
honestly idek what this stuff is I just need points
Help pleaseee????????
it will be equal to the photo
median 5
lowerwhich graph shows the Same and behaviour as the Graph of F(x) = 2X^6=2x²2-5
Given function:-
f(x) = 2x6 – 2x2 – 5.In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficent.Degree of the given function is the highest power of the variable.
We have variable x there.
Highest power of x is 6.So, we can say:
Degree = 6 ( an even degree)
And leading coefficent is the coefficent of highest power term.
We have highest power term is 2x^6.
So, the leading coefficent is : 2 (Positive number)
For even degree and positive leading coefficent, end behaviour is
x --> ∞ f(x) = +∞
x-->-∞ f(x) = +∞
Question 1 (1 point)
Find the measure of the angle marked 4x
we need the image to solve the problem
Use long division to solve 38 divided by 4
If you know how to set up the format for long division, the answer is 9.5 because 4 goes into 3 zero times, and you don't necessarily need to write down the zero on top since it equals nothing in a whole number. then, 4 goes into 38 nine times. (yes 38 because you didn't do anything with the 3 so you just make it 38) 4 × 9 = 36. it doesn't exactly make 38, so you take away 36 from 38 and you are left with a remainder of 2. then to get no remainder, add a zero to the end of 38. so it would look something like 4/380 so you take down the zero next to the 2 so it makes 20, 4 × 5 = 20 and you are left with a remainder of 0 and the answer: 9.5 ( P.S.: added the decimal because it wasn't exactly equal when doing 4 × 9 so we had to add a zero)
what is 2*38 i need help
Answer:
76
Step-by-step explanation:
38 multiplied by 2 = 76
Answer:
76
Step-by-step explanation:
2*38 is as follows
8*2=16
2*30=60
now simply put, 16+60=76
What is the value of the expression when a=3 and b=4
Answer:
The equation
Step-by-step explanation:
I need the equation so I can answer your question.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has she shared in all?
[tex]\huge\underline\mathtt\colorbox{cyan}{3/8}[/tex]
[tex]\huge\mathsf\colorbox{white}{}[/tex]
Step-by-step explanation :Total shared part:
1/4 + 1/8
Taking LCM and adding:
2/8+1/8
Adding gives:
3/8
On a recent utility bill, the water/sewer/garbage portion of the bill was $92.43. This consisted of 74% of the total bill. To the nearest cent, what was the total amount of the utility bill?
Answer:
Step-by-step explanation:
$92.43 / 0.74 = $124.91
The total bill is equal to $124.9
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here, the given bill as 74% of the total bill as $92.43
Thus the total bill must be = 92.43×100/74
= $124.9
Hence, The total bill is equal to $124.9
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Round 479 to the nearest ten. Enter your answer in the box below.
Answer here
.
SUBMIT
Answer:
480
we round up because the last number is bigger than 5
Suzie has made a conjecture that the sum of consecutive odd numbers is always a perfect square. The example she used to show this to Timmy is 1 + 3 + 5 + 7+ 16 = 42. However, Timmy was not convinced and made a Venn diagram to find a counter-example, Do you agree with Suzie's conjecture? Use evidence from the Venn diagram to support your response
Answer:
Of course you don't agree with Suzie's conjecture - if there is a counterexample (and there is) to a conjecture, that conjecture is false.
Additional note:
Any sum of consecutive odd numbers starting with 1 is a perfect square. It can be proven mathematically, but the pleasant "proof" is to look at actual geometrical squares drawn from unit squares (like in your notebook).
When you have a square of NxN (N^2 unit squares), to go to the next square you need to add N on one side, N on a neighboring side, and 1 to fill the missing unit, for a total of adding 2N+1 squares and ending up with (N+1)x(N+1).
Because you can start from a 1x1 square and then add 2*1+1 = 3 to go to 2x2, then add 2*2+1=5 to go to 3x3 and so on.
Step-by-step explanation:
Timmy is not the brightest person for making this Venn diagram. He just needed to find 1 counterexample.
.I want a way to solve this question
Check the picture below.
so then γ ≈ 180 - 69 - 43, γ ≈ 68.
Which story represents the equation six-sevenths times one-fourth?
A: Victoria drinks six-sevenths of a cup of milk. She drinks one-fourth of a cup more milk. How much milk did she drink in all?
B: Mike walked one-fourth mile and then he took the bus for six-sevenths miles to school. How many miles did he travel in total?
C: Victoria has six-sevenths of a pizza. She ate one-fourth of it for dinner. How much pizza did Victoria eat for dinner?
D: Mike has six-sevenths of a pie. He gives one-fourth to his brother. How much pie does he have left?
Answer:
C I think.
Step-by-step explanation:
I don't know for sure, but A, B and D all talk about adding or subtracting the answers together, while C tells us to find the fraction of a fraction so I'm pretty sure you multiply. Hope this helps!
My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.
By knowing that S is bisected by the line shown, we will conclude that PD = 8
So here we know that PC = 8, we also can see that:
PCS is a right trianglePDS is a right triangle.Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.
Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.
And notice that both of these triangles share one side, then:
Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.
This implies that the triangles are congruent, thus, the measures of the corresponding sides must be the same.
Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.
So you are correct.
If you want to learn more about congruent triangles, you can read:
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discount off each purchase. Calculate the amount of discount off each item (2 points)
17% off a $35 dresser
12% off a $32 dresser
12% off a $22 mirror
20% off a $55 bookshelf
Answer:
17% off a $35 dresser
Step-by-step explanation:
How is compound interest different from simple interest?
O A. Compound interest accrues on the down payment as well as the
principal.
B. Compound interest accrues only on the initial amount borrowed.
C. Compound interest accrues daily, monthly, or quarterly rather than
annually.
D. Compound interest accrues on the interest, as well as the
principal.
Answer:
D. Compound interest accrues on the interest, as well as the
principal.
Answer:
D. Compound interest accrues on the interest, as well as the
principal.
Step-by-step explanation:
plss help me... with explanation
(20 pnts)
Answer:
B. slope
Step-by-step explanation:
Which pair of points has a slope of 4? Question 4 options: (0, –3), (1, 1) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, 4), (4, 0)
Answer:
(0,-3), (1,1)
Step-by-step explanation:
2 lines are not parallel, how many solutions are there
Answer:
Either one: the two line have a point in common, or infinite: they are the same line.
Find the perimeter of a rectangle whose width is 30cm and diagonal 50cm.
Answer:
P=140cm
Step-by-step explanation:
P=2(l+w)
d=w2+l2
Solving forP
P=2w+2d2﹣w2=2·30+2·502﹣302=140cm
Hope This Kind of Helps
Answer: 140cm
P=2(l+w)
P=2w+2d2﹣w2=2·30+2·502﹣302=140cm
if g(x)=x^2-x then what is g(2)-2
Answer:
0Step-by-step explanation:
[tex]g(x) = {x}^{2} - 2[/tex]
To find g(2) - 2 first find g(2) by substituting the value of x that's 2 into the original expression after that subtract 2 from the final answer obtained.
We have
[tex]g(2) = {2}^{2} - 2 \: \: \: \: \: \: \: \: \: \: \\ = 4 - 2 = 2 \\ \\ \\ g(2) - 2 = 2 - 2 = 0[/tex]
We have the final answer as
0Hope this helps you