Answer:
201, 500ft²
Step-by-step explanation:
The formula for calculating area in this case is;
A = w × l
This means we're going to take the width of the runway (65ft) and multiply it by the length of the runway (3100ft).
(To make it easier on paper, you can swap the two numbers around, so the higher number is on top, and the smaller number is on the bottom - 3100 × 65. It won't change the answer, but it will make it quicker and easier to get to the result, and lessens the chances making a mistake.)
So the equation you need to do is;
3,100 × 65 = 201, 500.
Add on the units, and there's your answer;
201, 600ft²
Hope this helped!
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)
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
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%
Jill is 5 kilometers away from Joe. both begin to walk toward each other at the same time. Jill walks at 1 km/hr. they meet in 2 hours. how fast is Joe walking? show work plz
Answer:
1.5km/hr.
Step-by-step explanation:
jill is walking 1 km/hr. and meets in 2 hours. so jill crossed 2 km in 2 hours. so joe has to (5-2) or 3 km and he walked 3 km on 2 hours as the question. that means joe was walking 3/2 km/hr or 1.5 km/hour
Which best describes the relationship between the lines with equations
Hey there! :)
Answer:
B, they are the same line.
Step-by-step explanation:
Begin by converting each equation to slope-intercept form to make it easier to see the relationship:
-3x - 4y = 1
-4y = 3x + 1
y = -3/4x - 1/4
-------------------
-6x - 8y = 2
-8y = 6x + 2
y = -3/4x - 1/4
The lines are the same. Therefore, B is the correct choice.
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
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]
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:
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
Solve for x in the diagram below.
Answer:
x = 34°
Step-by-step explanation:
As you can see, in your pic there is a straight angle which is equal to 180°
Therefore, all the 3 angles combined will be equal to 180°
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!
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
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:
Jada sells her artwork at a trade show. She made $40 on the first day by selling one photograph, one painting, and one necklace. She made $110 on the second day by selling two photographs, three paintings, and three necklaces. She made $50 on the last day by selling one photograph, one painting, and two necklaces. Which system of equations matches Jada's sales at the trade show?
Answer:
x + y + z = 40
2x + 3y + 3z = 110
x + y + 2z = 50
Step-by-step explanation:
let
x = photograph
y = painting
z = neckless
the first part reads that jada sells 1 photograph, 1 painting, and 1 neckless. this written in a mathematical formula will be x + y + z = 40
the second part reads that jada sold 2 photographs, 3 paintings, 3 necklaces. This written as a mathematical formula will be 2x + 3y + 3z = 110
the third part reads that jada sold 1 photograph, 1 painting, and 2 necklaces. this written in a mathematical formulawill be x + y + 2z = 50
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
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].
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).
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
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
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!
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
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
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
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:
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(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.
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:
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
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
Solving absolute value inequalities requires solving compound inequalities.
O True
O False
The statement "Solving absolute value inequalities requires solving compound inequalities" is False.
Absolute value inequalities and compound inequalities are two different types of inequalities, and solving them involves different methods. Here's a brief explanation:
Absolute value inequalities: An absolute value inequality involves an expression enclosed within absolute value symbols [tex](| |)[/tex].
To solve such an inequality, follow these steps:
Set up two separate inequalities: one with the expression inside the absolute value symbols greater than or equal to zero, and the other with the expression negated and greater than or equal to zero.Solve each inequality separately to find the possible solutions.Combine the solutions from both inequalities to determine the final solution set.Compound inequalities: A compound inequality consists of two or more inequalities joined by the logical operators "and" or "or."
To solve a compound inequality, follow these steps:
Solve each individual inequality separately.Combine the solutions based on the logical operators:If the compound inequality is joined by "and," the solution is the intersection of the individual solutions.If the compound inequality is joined by "or," the solution is the union of the individual solutions.Therefore, solving absolute value inequalities does not require solving compound inequalities. These are distinct concepts in mathematics.
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