Answer:
17.5 units
Step-by-step explanation:
We are given the following values from the diagram above
LA = 3.5 units
AY = Midpoint = 7.0 units
LW = unknown
Step 1
The first step is to determine what AW is.
From the right angled triangle, we obtained these proportions
LA : AY = AY : AW
= LA/AY= AY/AW
Cross Multiply
7× 7 = 3.5 × AW
49 = 3.5 AW
AW = 49/3.5
AW = 14 units
Step 2
LW = AW + LA
LW = 14 units + 3.5 units
LW = 17.5 units
Answer:
17.5 units
Step-by-step explanation:
i got this correct on khan thanks to adefunkeadewole.
thank you very much adefunkeadewole :)
What is the slope of the line represented by the equation y=-1/2x + 1/4?
Answer:
The slope is -1/2 and the y intercept is 1/4
Step-by-step explanation:
y=-1/2x + 1/4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -1/2 and the y intercept is 1/4
Ahmed is working at a burger joint. His boss pays him $6.50 per hour and promises a raise of $0.25 per hour every 6 months. Which sequence describes Ahmed's expected hourly wages, in dollars, starting with his current wage?
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
find two rational numbers between [tex]\sqrt[3]{8}[/tex] and [tex]\sqrt{9}[/tex]
Step-by-step explanation:
[tex] \sqrt[3]{8} = 2 \\ \sqrt{9} = 3[/tex]
so between 2 and 3
you can say:
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
2.22
2.1875838
2.7583883
What is the solution to the system of equations? 2x – y = 7 y = 2x + 3 (2, 3) (2, 7) no solution infinite number of solutions
Answer:
Option C.
Step-by-step explanation:
Let [tex]a_1x+b_1y+c_1=0[/tex] and [tex]a_2x+b_2y+c_2=0[/tex] are two line.
If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], then system of equations have infinite number of solutions.
If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], then system of equations have no solution.
If [tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex], then system of equations have unique solution.
The given equations are
[tex]2x-y=7[/tex]
[tex]y=2x+3[/tex]
These equations can be rewritten as
[tex]2x-y-7=0[/tex]
[tex]2x-y+3=0[/tex]
Here, [tex]a_1=2,b_1=-1,c_1=-7,a_2=2,b_2=-1,c_2=3[/tex].
[tex]\dfrac{a_1}{a_2}=\dfrac{2}{2}=1[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{-1}{-1}=1[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{3}[/tex]
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], therefore, the system of equations have no solution.
Hence, option C is correct.
Answer:
ANSWER: C
Step-by-step explanation:
If f(x) = 3x and g(x)=1/x
what is the domain of (gºf)(x)?
O x>0
O all real numbers except x=
= 0
X<0
all real numbers
Answer:
Here it is given that f(x)=3x and g(x)=1/x
We have to find the domain of (g o f)(x)
Now it is given that f(x) = 3x
and it is also given that g(x) = 1/x
so (g o f)(x) = g( f(x) ) = g( 3x )
which comes out to be 1 / 3x
The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.
The domain of a function is the set of input values the function can take.
The domain of the function is (b).all real numbers except x = 0
The functions are given as:
[tex]\mathbf{f(x) = 3x}[/tex]
[tex]\mathbf{g(x) = \frac 1x}[/tex]
Calculate (gºf)(x) as follows:
[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]
So, we have:
[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]
Substitute 3x for f(x)
[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]
For the above function to have a real value, the value of x must not be 0.
Hence, the domain of the function is (b).
Read more about domains at:
https://brainly.com/question/14494061
what is y=-1/4x+4 written in standard form? plsss help!
Answer:
The standard form of this slope-intercept form is x + 4y = 16.
Answer:
x + 4y =16
Step-by-step explanation:
[tex]y= \frac{-1}{4}x+4[/tex]
Multiply by 4
[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]
4y = -x + 16
x + 4y =16
6j + 7 =21 -j pls show work
Answer:
Step-by-step explanation:
6j + 7 = 21 - j
Add 'j' to both sides
6j + 7 + j = 21 - j +j
7j + 7 = 21
Subtract 7 form both sides
7j + 7 - 7 = 21 - 7
7j = 14
Divide both sides by 7
7j/7 = 14/7
j = 2
Answer:
j = 2
Step-by-step explanation:
6j + 7 = 21 - j
6j + j = 21 - 7
7j = 14
j = 14/7
j = 2
1000 ml solution of acetic acid contains 21 mL of pure acetic acid find the percent concentration of the solution simplify your answer completely
Answer:
Step-by-step explanation:
download math photo it will give you free answers
PLEASE HELP ASAP!!! What is the standard form for the quadratic function? g(x) = (x + 5)^2 −1
g(x)= x^2 − 10x − 26
g(x)= x^2 + 24
g(x)= x^2 − 26
g(x)= x^2+10x + 24
Answer:
g(x)= x^2+10x + 24.
Step-by-step explanation:
g(x) = (x + 5)^2 −1
= x^2 + 5x + 5x + 25 - 1
= x^2 + 10x + 24
g(x)= x^2+10x + 24 is your answer.
Hope this helps!
Answer:
the answer is g(x)=x^2+10x+24.
Step-by-step explanation:
here,
=(x+5)^2_1 (as (a+b)=a^2+ab+b^2)
=x^2+10x+25_1
=x^2+10x+24... is answer
hope its helpful to uh..
Please i need help with this ASAP....many thanks
Answer:
Yes, he has enough money.
Step-by-step explanation:
I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.
Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.
13/0.75 = 18.67 = 18 weeks
Take the number of weeks times the number of calories per week
18 x 600 = 10800
Take this number divided by 200 calories per hour to find the total number of hours.
10800/200 = 54 hours
Take this number times the amount of money per hour.
54 x 6 = 324 This number is less than 360
Fred the ant is on the real number line, and Fred is trying to get to the point 0. If Fred is at 1, then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2, then on the next step, Fred always moves to 1. Let e_1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e_2 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 2. Determine the ordered pair (e_1,e_2). Answer is NOT (2, 3)
Answer:
The ordered pair (e₁, e₂) is (6, 8).
Step-by-step explanation:
Consider the pathway attached below.
Consider that Fred is at 1.It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.
e₁ : 1 3 5 7 ...
P (e₁) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 1 is:
[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]
The sum series e₁ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₁ is:
[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]
Consider that Fred is at 2.It is provided that Fred always moves to 1 if he at step 2.
e₂ : 2 4 6 8 ...
P (e₂) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 2 is:
[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]
The sum series e₂ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₂ is:
[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]
Thus, the ordered pair (e₁, e₂) is (6, 8).
Answer:
(3, 4)
Step-by-step explanation:
For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.
[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]
This equation eventually equals to 3, so e_1 is equal to 3.
For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answer:
x ≥ $17, 500
Step-by-step explanation:
To find the cost of the next year model, we will follow the steps below;
Let x be the value of next year's model
$14000 ≤ 80% of x
80% of x ≥ $14000
80% × x ≥$14000
80x/100 ≥ $14000
multiply both-side of the equation by 100
80x ≥ $1400000
Divide both-side of the inequality by 80
80x /80 ≥ $1400000 / 80
x ≥ $17, 500
Therefore the cost of next year's model is
x≥$17, 500
Question 24 on this pictured math sheet please. Have a great day!
Answer:
[tex]y=-6[/tex].
Step-by-step explanation:
If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .
In the given question, it is clear that the horizontal line passing through the point (4,-6).
Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].
Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is
[tex]y=-6[/tex]
Hence, the equation of horizontal line is [tex]y=-6[/tex].
Help me ASAP for this question
Answer:
18 : 3
Step-by-step explanation:
Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.
[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce
[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions
[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication
[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3
_____
So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.
Hope that helps!
Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach. In how many different ways (orders) can she add these fruits to her blender?
Answer: The number of different ways (orders) she can add these fruits to her blender = 24
Step-by-step explanation:
Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.
i.e. Total fruits = 4
The number of ways to order n things = n!
Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!
= 4 x 3 x 2 x 1
= 24
Hence, the number of different ways (orders) she can add these fruits to her blender = 24
Answer:
the correct answere is actully 120 ways.
Step-by-step explanation:
Solve the equation :
[tex] \cos(x) - \sin(x) = \sqrt{2 } \: cos(3x)[/tex]
Answer:
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
Step-by-step explanation:
Step(i):-
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]
Step(ii):-
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]
[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
Step(iii):-
General solution of cos x = cos ∝ is x = 2 nπ+∝
we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
The general solution of [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is
⇒ [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]
⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]
[tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]
final answer:-
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
a basket holds 26 cards, and each card has a letter of the alphabet on it. each time a card is drawn, it is returned to the basket before the next card is drawn. what is the probability of selecting a constant on the first draw, a vowel (a,e, i,o or u) on the second draw, and then another constant on the third (and last) draw? a 7/52 b 525/4394 c 2205/17576 c 147/1040
Answer:
2205/17576
Step-by-step explanation:
26 cards
5 vowels , 21 consonants
P( consonant) = consonant / total =21/26
Return the card
26 cards
5 vowels , 21 consonants
P ( vowel) = vowel/total= 5/26
Return the card
26 cards
5 vowels , 21 consonants
P( consonant) = consonant / total =21/26
P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26
2205/17576
Find the y-intercept of the rational function. (0, −2) (−2, 0) (0, 6) (6, 0)
Answer:
(0, - 2)
Step-by-step explanation:
The y-intercept of the rational function is (0, −2).
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
Answer:
B
Step-by-step explanation:
Use FOIL method
3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)
Simplify to get 15 x^{2} -6x+15x-6
Combine like terms to get 15x^2+9x-6
quadratic funcntion
quadratic term: 15x^2
linear term: 9x
constant: -6
(sorry this was late I had other work and I didn't see this until now)
please mark me brainliest!
Use the equation tool to complete the table.
y = 120 + 18(x)
Enter the correct answer.
Tara has made 120 cookies for the sale
and has one more day to bake. Tara's pan
allows her to bake 18 cookies per batch.
Tara can use the equation of the function to predict the total number of cookies: y=120+18(x). However, she prefers to use a table. (image)
Answer: ? = 264
Step-by-step explanation:
Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:
y = 120 + 18(x)
Replacing and solving for y (number of cookies)
y = 120 + 18(8)
y = 120+144 = 264 cookies
The missing value in the table is⇒ ? = 264
Feel free to ask for more if needed or if you did not understand something.
Answer:
answer is 264
Step-by-step explanation:
Find the area of the triangle. Choices- Question 8 options: a) 70 units2 b) 35 units2 c) 28 units2 d) 14 units2
Answer:
35 (b)
Step-by-step explanation:
Area of a triangle = (height times base)/2
Height = 5
Base = 14
14 times 5 = 70
70/2 = 35
Answer:
it was b ) 35 units
Step-by-step explanation:
cuz 5*14 you got 70
then when is a triangle you have to do 70 divide by half
so you will got you answer which is b)35 units
hope it helps
the probability of spinning an odd number on a spinner is 62 percent . What is the probability of not spinning an odd number?
Subtract the percent of getting odd from 100 percent.
100 - 62 = 38%
Ronnie surveyed students to find out which school sport they participated in. Below are the results from the first ten people he surveyed. Which type of graph best displays the data? A. circle graph B. line graph C. histogram D. Venn diagram
Answer: you need to have a line graph
stay safe
Answer:
Step-by-step explanation:
its a
Find the distance of the line segment joining the two points: (sqrt 2,1) and (0, -sqrt 2)
Answer:
2.8
Step-by-step explanation:
√(-√2-1)²+(0-√2)²
Complete the following item. Consult the table above to find the cosine number. Find A to the nearest degree. A ≈ a0degrees.
Answer: Angle A to the nearest degree = 50°
Step-by-step explanation:
Given the triangle ABC:
Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.
cosine of A
Using Pythagoras rule :
Cos A = Adjacent / Hypotenuse
Cos A = 267 / 391
Cos A = 0.6828644
Taking the cos inverse of angle A
A = Cos^-1 (0.6828644)
A = 46.932111°
A = 50°
Answer:
47°
Step-by-step explanation:
(07.08 MC) The graph below shows the price, y, in dollars, of different amounts of peanuts, x, in pounds: Which equation best represents the relationship between x and y? (5 points) Select one: a. y = x + 6 b. y = 3x c. y = 6x d. y = x + 3
Answer:
B. y = 3x
Step-by-step explanation:
Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.
KELLY Connect
Deidra Roberts
CONTACT CENTER OUTSOURCING
Supervisor: "You are currently scheduled to work Monday through Friday of next
week. I need you to try to assist 9 more customers per day to hit your goal for the
week."
Employee: "That seems very realistic. I currently assist an average of 52 customers
per day, so the total number of customers l assist per week would be
295
300
304
305
Answer:
305
Step-by-step explanation:
52 customers per day * 5 days per week
260 currently
Now add the 9 per day to find you new goal
52+9 = 61 per day
61 *5 = 30
305 per week is your goal
Simplify.
3sqrt -64m^15n^3
-8m^5
-8m^5n
-4m^5n
-4m^5
Answer:
[tex]-4m^5n[/tex]
Step-by-step explanation:
∛-64 = -4
[tex]\sqrt[3]{m^{15}} =m^5[/tex]
∛n³ = n
Answer:
-4m⁵n
Step-by-step explanation:
(see attached)
Tell me in your own words: How well do you understand RATE?
Answer:
a measure, quanity or frequency typically one measured against another quantity or measure.
Step-by-step explanation:
i have written in my own words so i would love to be the brainliest i never got one before and i have only 20 points so thank you so much for making me the brainliest if you did so i love u.
Answer:
I do indeed understand rates in math.
Step-by-step explanation:
If you didn't understand what a rate is, a rate is known as a special ratio in which the two terms are in different units.
Find the area of the polygon XYZ that has its vertices at X(–3, 6), Y(–3, 1), and Z(5,1). Question 8 options: A) 26 square units B) 20 square units C) 40 square units D) 6.5 square units
Answer:
Area ≈ 20 square units
Step-by-step explanation:
Using Distance Formula to Find the lengths
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Length XY:
=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]
=> [tex]\sqrt{25}[/tex]
=> 5 units
Length YZ:
=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]
=> [tex]\sqrt{64}[/tex]
=> 8 units
Length ZX:
=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]
=> [tex]\sqrt{89}[/tex]
=> 9.4
Perimeter:
=> 5+8+9.4
=> 22.4
Semi-Perimeter:
=> 11.2
Using Heron's Formula to find the area:
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where s is semi perimeter and a,b and c are side lengths
=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]
=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]
=> Area = [tex]\sqrt{399.9}[/tex]
=> Area = 19.99
=> Area ≈ 20 square units