Answer:
The answer is x² + x - 20
Step-by-step explanation:
(x – 4)(x + 5)
x(x + 5) -4(x + 5)
x² + 5x – 4x – 20
x² + x - 20
Thus, The answer is x² + x - 20
-TheUnknownScientist
Answer:
x² + x -20Step-by-step explanation:
x(x + 5) -4(x + 5)x² + 5x - 4x - 20x² + x - 205.
How many 3/4 -foot-tall boxes can be stacked in one column against a wall that
is 12 feet high?
Answer:
I'm pretty sure its 16, so sorry if im wrong. Good luck!<3
What is 75.4 in expanded form
Answer: 75.4 =
70
+ 5
+ 0.4
Step-by-step explanation:
Hope this helps :)
What is the product of the two numbers, written in scientific notation?
1.4 x 10^3 and 5.6 x 10^2
A. .784 x 10^6
B. 7.84 x 10^5
C. 7.84. x 10^6
D. 78.4 x 10^5
Answer:
The answer is 83
Step-by-step explanation:
You have to mutiply them all then divide
1. Three people went to lunch at a buffet restaurant that charges $9.99 per
person for food.
• Each drink is an additional $1.99.
• Sales tax is 8.5%.
• Each person orders a drink, food, and leaves a $1.50 tip.
How much was their total lunch bill?
A $14.50
B. $35.94
C. $39.99
D. $43.49
NEED HELP WHATS THE LOCATION
Answer:
-9, 5
Step-by-step explanation:
Arnie designed a new game, described here. How much should he charge to make this a fair game?
4 no prize (value $0)
4 small prize (value $2)
2 large prize (value $7)
A. $2.00
B. $2.20
C. $3.00
D. $3.50
Answer:
C it's the price to even win the small prize to make a small profit
i’m so confused.. a little help?
Answer:
Triangle has a greater perimeter.
Step-by-step explanation:
Triangle perimeter = 21cm
Add the sides.
Square perimeter = 16cm
Add the sides (since it's a square the sides are the same.)
How many ways can you arrange the letters PASTEL?
Helpppppppppppppppp meeeeeeeeeeee plssssssssssssssssss
Answer:
A: NO
B: YES
C: NO
D: NO
Step-by-step explanation:
a circle has a radius of 4.5 inches find the length of the arc outlined by a central angle that measures 0.6pi radians
Answer:
8.478in
Step-by-step explanation:
Length of an arc = rtheta
r is the radius of the circle = 4.5in
theta is the central angle = 0.6pi
Substitute
Length of the arc = 4.5 * 0.6pi
Length of the arc = 4.5 * 0.6 * 3.14
Length of the arc = 8.478inches
Hence the length of the arc is 8.478inches
An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An electronic timing device records the time it takes each runner to complete a lap for every lap in the race. These are called lap times. The histogram below displays the lap times for Stefano, a runner in the 3,000-meter race.
A histogram titled Stefano apostrophe s 3,000 meter race lap times has lap times (seconds) on the x-axis and frequency on the y-axis. 32 to 33, 1; 34 to 35, 1; 36 to 37, 1; 37 to 38, 4; 38 to 39, 5; 39 to 40, 1; 40 to 41, 2.
Which of the following is a true statement based on the histogram?
There were no lap times between 35 and 36 seconds.
There were six laps with times less than 37 seconds.
There were three laps with times greater than 38 seconds.
The interval from 37 to 38 seconds saw the most lap times.
Answer:
Person above me is wrong lol
If we're looking at the same graph, it's actually (A).
There should be a gap between 35-36.
There were no lap times between 35 and 36 seconds.
ED2021
The following is a true statement based on the histogram
There were no lap times between 35 and 36 seconds.
The correct option is (A).
What is Histogram?A histogram is a graphical representation that organizes a group of data points into user-specified ranges.
An indoor running track is 200 meters in length.
As, a 3,000-meter race, runners must complete 15 laps of the track.
As, there were no data for interval 35-36 seconds. There should be a gap between 35-36.
So, there were no lap times between 35 and 36 seconds.
There were six laps with times less than 37 seconds is false.
There were three laps with times greater than 38 seconds, is also false.
The interval from 37 to 38 seconds saw the most lap times, most lap time is 38-39.
Learn more about histogram here:
https://brainly.com/question/16819077
#SPJ2
If 2^2x = 2^3, what is the value of x?
Answer:
x=2
Step-by-step explanation:
An architect is creating a scale drawing of a school computer lab. The length of the lab is 32 feet and the width of the lab is 48 feet. If each 16 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?
Answer:
The answer is B
Step-by-step explanation:
Length:
32ft. / 16ft. = 2
2 x 2cm. = 4 cm.
Width:
48ft. / 16ft. = 3
3 x 2cm. = 6cm
Answer:
b
Step-by-step explanation:
I need help with the solutions for 19,20,21 thank you
Answer:
GIVEN :-
Coordinates of points are :-
(-5 , 12)(2 , 8)(3 , -6)TO FIND :-
All the trigonometric values of given pointsFACTS TO KNOW BEFORE SOLVING :-
It's important to know that :-
In 1st quadrant (0° to 90°) , all the trigonometric values are positive .In 2nd quadrant (90° to 180°) , except sin & cosec , rest all trigonometric values are negative.In 3rd quadrant (180° to 270°) , except tan & cot , rest all trigonometric values are negative.In 4th quadrant (270° to 360°) , except cos & sec , rest all all trigonometric values are negative.SOLUTION :-
Q1)
Plot (-5,12) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 2nd quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 12 unitslength of base of triangle (OB) = 5 unitslength of hypotenuse (OA) = 13 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = 180 - θ
So ,
[tex]\sin (AOB) = \sin(180 - \theta) = \sin \theta = \frac{12}{13}[/tex][tex]\cos(AOB) = \cos (180 - \theta) = -\cos \theta = -\frac{5}{13}[/tex][tex]\tan(AOB) = \tan(180 - \theta) = -tan \theta = -\frac{12}{5}[/tex][tex]\csc(AOB) = \csc(180 - \theta) = \csc \theta = \frac{1}{\sin \theta} = \frac{13}{12}[/tex][tex]\sec(AOB) = \sec(180 - \theta) = -\sec \theta = -\frac{1}{\cos \theta} = -\frac{13}{5}[/tex][tex]\cot(AOB) = \cot(180 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{5}{12}[/tex]Q2)
Plot (2,8) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 1st quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 8 unitslength of base of triangle (OB) = 2 unitslength of hypotenuse (OA) = 2√17 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = θ
So ,
[tex]\sin(AOB) = \sin \theta = \frac{8}{2\sqrt{17} } = \frac{4}{\sqrt{17} }[/tex][tex]\cos(AOB) = \cos \theta = \frac{2}{2\sqrt{17}} = \frac{1}{\sqrt{17}}[/tex][tex]\tan(AOB) = \tan \theta = \frac{8}{2} = 4[/tex][tex]\csc(AOB) = \csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{17}}{4}[/tex][tex]\sec(AOB) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{17}[/tex][tex]\cot (AOB) = \cot \theta = \frac{1}{\tan \theta} = \frac{1}{4}[/tex]Q3)
Plot (3,-6) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 4th quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 6 unitslength of base of triangle (OB) = 3 unitslength of hypotenuse (OA) = 3√5 unitsLet the angle between OA & positive x-axis be θ . [Assume it in counterclockwise direction].
⇒ ∠AOB = 360 - θ
So ,
[tex]\sin(AOB) = \sin(360 -\theta) = -\sin \theta = -\frac{6}{3\sqrt{5} } = -\frac{2}{\sqrt{5} }[/tex][tex]\cos(AOB) = \cos(360 - \theta) = \cos \theta = \frac{3}{3\sqrt{5} } = \frac{1}{\sqrt{5} }[/tex][tex]\tan(AOB) = \tan(360 - \theta) = -tan \theta = -\frac{6}{3} = -2[/tex][tex]\csc(AOB) = \csc(360 - \theta) = -\csc \theta = -\frac{1}{\sin \theta} = -\frac{\sqrt{5} }{2}[/tex][tex]\sec(AOB) =\sec (360 - \theta) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{5}[/tex][tex]\cot(AOB) = \cot(360 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{1}{2}[/tex](Plz help! I'll mark brainliest)
Q) Which statements are true about the graphed function?
Answer:
the amplitude of the function is 2.5
Answer:
The period of the function is 2pi
The amplitude of the function is 2.5
The midline of the function is y = 1.5
Step-by-step explanation:
took the test
Whats the area?????????????
Answer:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
selecting a marble from a bag containing 50 marbles and 45 orange marbles
An education reform lobby is compiling data on the state of education in the United States. In their research they looked at the percent of people who graduate high school in 10 different states. The data are provided below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the sample standard deviation and the sample variance. Round your answers to one decimal place.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Let the missing value:
[tex]77.1 \\\\82.9 \\\\90\\\\91.3\\\\81.9\\\\83.3\\\\84.9\\\\82.5\\\\84.6[/tex]
Using the statistical software to calculate the output which can be defined as follows:
Summarizing the statistics:
[tex]Column \ \ \ \ \ \ \ a \ \ \ \ \ \ \ Mean \ \ \ \ \ \ \ Variance \ \ \ \ \ \ \ Std.\ \ der.\\\\ Data \ \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ 84.11 \ \ \ \ \ \ \ \ \ 16.432111 \ \ \ \ \ \ \ 4.053654[/tex]
From the above output:
[tex]Standard \ deviation\ S = 4.1\\\\Variance \ S^2= 16.4[/tex]
Hundred Metal Spheres with a radius of 4cm each are melted. The melted solution is filled into a cube with a base area of 16cm x 10cm. Find the height of the cube filled with solution.
Answer:
Height = 167.47 cm
Step-by-step explanation:
volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³
267.9467 cm³ x 100 spheres = 26794.67 cm³
volume of cube = L x W x H
26794.67 = 16 x 10 x H
H = 167.47 cm
If the price is increasing at a rate of 2 dollars per month when the price is 10 dollars, find the rate of change of the demand.
Answer:
The demand reduces by $7.12 per month
Step-by-step explanation:
Given
[tex]p\to price[/tex]
[tex]x \to demand[/tex]
[tex]2x^2+5xp+50p^2=24800.[/tex]
[tex]p =10; \frac{dp}{dt} = 2[/tex]
Required
Determine the rate of change of demand
We have:
[tex]2x^2+5xp+50p^2=24800.[/tex]
Differentiate with respect to time
[tex]4x\frac{dx}{dt} + 5x\frac{dp}{dt} + 5p\frac{dx}{dt} + 100p\frac{dp}{dt} = 0[/tex]
Collect like terms
[tex]4x\frac{dx}{dt} + 5p\frac{dx}{dt} = -5x\frac{dp}{dt} - 100p\frac{dp}{dt}[/tex]
Factorize
[tex]\frac{dx}{dt}(4x + 5p) = -5(x + 20p)\frac{dp}{dt}[/tex]
Solve for dx/dt
[tex]\frac{dx}{dt} = -\frac{5(x + 20p)}{4x + 5p}\cdot \frac{dp}{dt}[/tex]
Given that: [tex]2x^2+5xp+50p^2=24800.[/tex] and [tex]p = 10[/tex]
Solve for x
[tex]2x^2 + 5x * 10 + 50 * 10^2 = 24800[/tex]
[tex]2x^2 + 50x + 5000 = 24800[/tex]
Equate to 0
[tex]2x^2 + 50x + 5000 - 24800 =0[/tex]
[tex]2x^2 + 50x -19800 =0[/tex]
Using a quadratic calculator, we have:
[tex]x \approx -113\ and\ x\approx88[/tex]
Demand must be greater than 0;
So: [tex]x=88[/tex]
So, we have: [tex]x=88[/tex]; [tex]p =10; \frac{dp}{dt} = 2[/tex]
The rate of change of demand is:
[tex]\frac{dx}{dt} = -\frac{5(88 + 20*10)}{4*88 + 5*10} * 2[/tex]
[tex]\frac{dx}{dt} = -\frac{5(288)}{402} * 2[/tex]
[tex]\frac{dx}{dt} = -\frac{2880}{402}[/tex]
[tex]\frac{dx}{dt} \approx -7.16[/tex]
This implies that the demand reduces by $7.12 per month
Find the solution(s) to the system of equations. Select all that apply.
y=x-4
y = 2x- 5
Answer:
Y
Step-by-step explanation:
the student council is having a dinner fund-raiser. the cost to rent the banqet is 135. the cost per plate is $5. if the tickets to the dinner banquet are 12$ per person, how many people must attend in order for the school to make a profit?
Answer: 48
Step-by-step explanation:
48 people x $12 = $576
$576 – $135 renting banquet = $441
48 people x $5 plate = $240
$441 – $240 = $201
Explain how you would solve −4 + 4 + 5. Please help me lol.
Answer:
5
Step-by-step explanation:
=> -4+9
=> 5
Cuz first u have to do 4 plus 5, which'll be 9. And then, since -4 is negative, we have to subtract 9 from 4. So the answer's 5.
Make me brainliest :))))
What is the degree of 4a5 b2 + 2ab3?
O 5
O 7
o 10
O 11
The measures of the interior angles of a pentagon are 2x + 15, 3x, 3x + 5, 4x + 10, and 5x. What is the measure of the largest angle for this pentagon?
130
140
160
150
Answer:
i think 140
Step-by-step explanation:
even tho this one old
A pentagon's largest internal angle is 150 degrees.
What is a pentagons?The geometric shape known as a pentagon has five sides and five angles. Penta here means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon's internal angles add up to 540 degrees.
Given, The measures of the interior angles of a pentagon are 2x + 15, 3x, 3x + 5, 4x + 10, and 5x. Since the sum of all the interior angles of the pentagon is 540 degrees. Hence
2x + 15 + 3x + 3x + 5 + 4x + 10 + 5x = 540
17x + 30 = 540
17x = 510
x = 30
All five angles of the pentagon are 75, 90, 95, 130, and 150.
Therefore, the biggest interior angle of a pentagon is 150 degrees.
Learn more about the pentagons here:
https://brainly.com/question/27476
#SPJ2
2x 3 +5x 2 +x−5 is divided by x+1x+1
Answer:1
Step-by-step explanation:
Choosing a tuna turkey or cheese sandwich on wheat or white bread with a side of potato chips corn chips or baked potatoes
Answer:
Cheese sandwich on white bread and a side of potato chips
Step-by-step explanation:
The demon drop at cedar point in Ohio takes riders to the top of a tower and drops them 60 feet. A function that approximates this ride is h = 16^2 + 64x - 60, where h is the height in feet t
Completion of question:
The Demon Drop at Cedar point in Ohio takes riders to the top of the tower and drops them 60 feet. A function that approximates this ride is h=-16^t2 + 64t + 60 where h is the height in feet and t is the time in seconds. About how many seconds does it take for riders to drop to the ground?
Answer:
4.78 s
Step-by-step explanation:
Given the equation :
h = - 16^t2 + 64t + 60
Using the quadratic formula ; where
a = - 16 ; b = 64 ; c = 60
Dropping to the ground, h = 0
16^t2 + 64t - 60 = 0
-b ± (√b²- 4ac) / 2a
-64 ± (√64²- 4(-16)(60)) / 2(-16)
-64 ± (√7936) / - 32
(-64 ± 89.08) / - 32
(-64 + 89.08) / - 32 = - 0.783 OR
(-64 - 89.08) / - 32 = 4.78
Reject the negative
t = 0.783 seconds
find the exact value of tan A in simplest radical form
Answer:
tan A = 20/21
Step-by-step explanation:
tan Θ = opp/adj
tan A = 20/21
write an explicit formula for an, the nth term of the sequence 2 -8 32
9514 1404 393
Answer:
an = 2(-4)^(n-1)
Step-by-step explanation:
The general form of the explicit formula for a geometric series with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Your sequence has a1=2 and r=-8/2 = -4. So, the explicit formula is ...
an = 2(-4)^(n-1)