Answer:
[tex]\textbf{Hello!}[/tex]
[tex]\Longrightarrow2^2+2z=0[/tex]
[tex]\Longrightarrow x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \:0}}{2\cdot \:1}[/tex]
[tex]\Longrightarrow \sqrt{2^2-4\cdot \:1\cdot \:0}[/tex]
[tex]\Longrightarrow =\sqrt{2^2-0}[/tex]
[tex]\Longrightarrow =\sqrt{2^2}[/tex]
[tex]\Longrightarrow=2[/tex]
[tex]\Longrightarrow x_{1,\:2}=\frac{-2\pm \:2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow x_1=\frac{-2+2}{2\cdot \:1},\:x_2=\frac{-2-2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow\frac{-2+2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{0}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{0}{2}[/tex]
[tex]=0[/tex]
[tex]\Longrightarrow\frac{-2-2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{-4}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{-4}{2}[/tex]
[tex]\Longrightarrow =-\frac{4}{2}[/tex]
[tex]=-2[/tex]
[tex]x=0,\:x=-2\Longleftarrow[/tex]
[tex]\underline{HOPE ~IT~HELPS}[/tex]
A rectangle is measured 6.5 cm by 7.8 cm .
If its actual area is 52.4 square cm , find the percentage error in the area.
Answer:
3.24%
Step-by-step explanation:
Percentage error =[ (|calculated value - actual value) / actual value] x 100
calculated area = length x width
6.5 x 7.8 = 50.7
[(|50.7 - 52.4|] / 52.4] x 100 = 3,24
There are 400 animals that live at a zoo. You find that 22 of 65 randomly chosen animals are
monkeys. About how many animals in the entire zoo are likely to be monkeys?
Answer:
About 135.
Step-by-step explanation:
As the sample is random the number of monkeys likely to be in the zoo
= (22/65) * 400
= 135.38
Suppose you have a regular hexagon with all side lengths equal to1. Prove that if you pick seven points from the interior of the hexagon, there is a pair of two points that are distance at most 1 apart.
Answer:
Proved
Step-by-step explanation:
Given
[tex]n = 6[/tex] --- sides of hexagon
[tex]l = 1[/tex] --- side length
Required
Prove that for 7 points picked from the interior, 2 points are at most 1 unit apart
1. Draw a hexagon (see attachment)
2. Divide the hexagon into 6 triangles
3. Select 7 points on the hexagon
You will notice that at least 2 points will be in one of the triangle.
The maximum distance between these two points is 1 unit. This is because
1. The triangle is equilateral (all sides equal)
2. The length of each is 1 unit (in other words, the distance between points, cannot exceed the side length)
Find the slope of the line that passes through the following points. Simplify answer (-6,8)and(-1,8)
Answer:
m = 0
General Formulas and Concepts
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points
Point (-6, 8)
Point (-1, 8)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{8 - 8}{-1 - -6}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{0}{5}[/tex]Divide: [tex]\displaystyle m = 0[/tex]The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 9 vans and 14 buses with 710 students. High School B rented and filled 13 vans and 5 buses with 371 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Answer:
Buses - 43 people
Vans - 12 people
The length of a rectangle should be 20 meters longer than 8 times the width. If the length must be
between 116 and 180 meters long, what are the restrictions for the width, z?
Write the solution set as an algebraic inequality solved for the variable
Answer:
The width of the rectangle lies between 12 and 20.
Step-by-step explanation:
Let the width of the rectangle is w.
length of the rectangle,
L = 8 w + 20
116 < L < 180
So,
116 < 8 w + 20 < 180
96 < 8 w < 160
12 < w < 20
So, the width of the rectangle lies between 12 and 20.
I’m suppose to find the measure of each angle. Thank you
Answer:
E) π/9
Step-by-step explanation:
The angles are complementary meaning they add up to 90°.
Convert radians to degrees:
7π/18 · 180/π = 70°
Now we know that we need the radian equivalent of 20°.
Convert degrees to radians:
70 · π/180 = π/9
Therefore, the measure of the missing degree is π/9.
Find the lowest common multiple of 10 and 12
Jeans are on sale for 20% off the regular price. Which function would give you the total cost for purchasing a pair of jeans that costs x dollars?
Answer:
0.8X = Final cost
Step-by-step explanation:
Given that jeans are on sale for 20% off the regular price, to determine which function would give you the total cost for purchasing a pair of jeans that costs X dollars, the following calculation must be performed:
1X = Initial cost of the jeans
20% = 0.2
1 - 0.2 = 0.8
0.8X = Final cost
shirly spelled 12 0f her 15 spelling words correctly on the test what percent grade did she get on the test
Answer:
80%
Step-by-step explanation:
Because Shirly spelled 12 out 15 correctly, she got a 12/15, which is equal to 4/5 or 80%
What is the probability of flipping a coin 10 times and getting heads 5 times? Round your answer to the nearest tenth percent.
The Probability is 1/2 or .5, .5 rounded to the nearest tenth would be irregular because .5 is already in the tenth place but according to the law of rounding since ut is five it would be rounded up giving the whole number 1
Which ordered pair is a solution to the system of inequalities? y< 3x y< 5
Answer:
Step-by-step explanation:
Split it into two:
Y<3x
Y<5
X = 1
Y = 3
(1,3)
X = 2
Y = 6
(2, 6)
Plot the line up to y = 4.999999999999999999999 and not higher.
Answer:
Plot the line up to y = 4.999999999999999999999 and not higher
Susan was posting gifts to her family. She weighed three envelopes before posting them. Geace Envelope A Envelope B Envelope C • Envelope A weighed x grams. Envelope B was 50 grams lighter than Envelope A. • Envelope C was three times as heavy as Envelope A. If the total weight of the three envelopes was 840 grams, write an equation in x and solve it to find the weight of Envelope A. (
Answer:
5x+50
Step-by-step explanation:
you have one x. An x plus fifty. And 3 mire x's. So 5 x's and a 50.
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Use the following information for problems 19-21
a system of regular payments for when something bad happens
a. Directly b. Reasonable c. Insurance
d. Tuition
the answer is b. insurance
How many lakhs are there in 4 million?
Now,
1 million = 10 lakhs
4 millions = 10 * 4
= 40 lakhs
There are 40 lakhs in 4 millions.
I hope it's help you...
Mark me as brainliest...
Answer: There are 40 lakhs in 4 million.
Step-by-step explanation:
A lakh is 1,00,000. We can divide 4 million by 1,00,000 to get our answer.
[tex]\frac{4,000,000}{1,00,000}[/tex]
The 5 zeros on the 4 million and on 1,00.000 cancel each other out giving us
[tex]\frac{40}{1} \\40[/tex]
The sum of and is -15/32 and 7/32 is
Answer:
-8/32 or -1/4(if simplified)
Step-by-step explanation:
-15+7 = -8
-8/32 or -1/4
PLS PAKI ANSWER KAILANGAN LANG PO KASI EH
NONSENSE(REPORT)
Answer:
1) 2/20 x 200 = 1/10 x 200 = 20
2) 3/20 x 200 = 30
3) 4/20 x 200 = 1/5 x 200 = 40
4) 5/20 x 200 = 1/4 x 200 = 50
5) 18/20 = 9/10 x 200 = 180
Finding the Area of a Circle Given the Radius Th It The area in terms of pi isi mi? The approximated value for the area is A circle has a radius of 3 miles. Use the work shown below to identify the area in terms of pi and the approximate area of the circle. Use 3.14 for a and round the answer to the nearest tenth. A = 2 A= T(3 mi) A = 3.14(9 mi)
Answer:
I'd use A = πr^2
The area is 28.3 if we're using 3.14 as pi (rounded to the nearest tenth)
en un bolillero hay 10 bolitas iguales numeradas del 0 al 9 ¿cual es el espacio muestral?
The height of the saddle off horse above the base ofa carousel can be modeled 4t by the equation f-rr) : 12 sin ^ r 42, where I represents seconds after the ride started. I How much time does to take for the horse to complete one cycle of motion and return to its starting height. What is the maximum height and the minimum height of the horse's saddle above the base ofthe carousel
Answer:
(a) The time to complete 1 cycle and return is 16/3
(b) The minimum height is 30 inches and the maximum is 54 inches
Step-by-step explanation:
Given
[tex]f(t) = 12\sin(\frac{3\pi}{8}t) + 42[/tex]
Solving (a): Time to complete 1 cycle and return
This implies that we calculate the period. This is calculated using:
[tex]T = \frac{2\pi}{w}[/tex]
Where:
[tex]w =\frac{3\pi}{8}[/tex]
So, we have:
[tex]T = \frac{2\pi}{\frac{3\pi}{8}}[/tex]
[tex]T = \frac{2}{\frac{3}{8}}[/tex]
[tex]T = \frac{2*8}{3}[/tex]
[tex]T = \frac{16}{3}[/tex]
Solving (b): The maximum and the minimum height
To do this, we have:
[tex]-1 \le \sin(\theta) \le 1[/tex]
Which means:
[tex]-1 \le \sin(\frac{3\pi}{8}) \le 1[/tex]
So, the minimum is:
[tex]\sin(\frac{3\pi}{8}) =- 1[/tex]
And the maximum is:
[tex]\sin(\frac{3\pi}{8}) =1[/tex]
Recall that the height is:
[tex]f(t) = 12\sin(\frac{3\pi}{8}t) + 42[/tex]
So, the maximum and the minimum of are:
[tex]h_{min} =12 * -1 + 42[/tex]
[tex]h_{min} =30[/tex]
and
[tex]h_{max} =12*1+42[/tex]
[tex]h_{max} =54[/tex]
A ball is thrown vertically upward from the top of a building. The height (in meters) of the ball after t seconds is given by the function
s(t) = -(t-3)^2+ 14. Find the instantaneous velocity of the ball at t= 4 seconds by considering the average velocities over the intervals [3.5, 4],
[3.7.4]. [3.9,4]. [3.99, 4], [4, 4.01], [4, 4.1], [4, 4.3], and [4,4.5).
ОА.
1.50 m/sec.
OB.
2.00 m/sec.
Ос.
-2.00 m/sec.
OD. -1.50 m/sec.
9514 1404 393
Answer:
C. -2.00 m/sec
Step-by-step explanation:
The average velocity on the interval [a, b] is found by ...
m = (s(b) -s(a))/(b -a)
One end of the interval remains constant here, so we can define 'd' so that the interval is [4, 4+d]. Then the average velocity is ...
m = (s(4 +d) -s(4))/((4 +d) -4)
m = (s(4+d) -s(4))/d
The attached table shows the average velocity values on the intervals required by the problem statement. Respectively, they are ...
-1.5 m/s, -1.7 m/s, -1.9 m/s, -1.99 m/s, 2.01 m/s, 2.1 m/s, 2.3 m/s, 2.5 m/s
We expect the instantaneous velocity at d=0 to be the average of the values at d=-0.01 and d=+0.01. We estimate the instantaneous velocity at t=4 seconds to be -2.00 m/s.
The missing number in the sequence 2, 5, 10, ?, 26, 37 is .........?
Answer:
17.
Step-by-step explanation:
The differences form an arithmetic sequence 3, 5, 7, 9,,11.
The missing number is 10 + 7 = 17.
This is a quadratic sequence.
The nth term = n^2 + 1.
Thus the 4th term = 4^2 + 1 = 17.
solve 4(8-2x)=2(7-x)
Answer and Step-by-step explanation:
Solve for x.
First, we divide both sides of the equation by 2.
2(8 - 2x) = 7 - x
Distribute the 2.
16 - 4x = 7 - x
Add 4x to and subtract 7 from both sides of the equation.
9 = 3x
Divide by 3 to both sides of the equation.
x = 3 <-- This is the answer.
#teamtrees #PAW (Plant And Water)
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4(8 - 2x) = 2(7 - x)
Step 2: Solve for x
[Division Property of Equality] Divide 2 on both sides: 2(8 - 2x) = 7 - x[Distributive Property] Distribute 2: 16 - 4x = 7 - x[Addition Property of Equality] Add x on both sides: 16 - 3x = 7[Subtraction Property of Equality] Subtract 16 on both sides: -3x = -9[Division Property of Equality] Divide -3 on both sides: x = 3The two sets of lines are parallel. If the measure of angle A is 110°, what is the measure of angle B?
Answer:
Sum of 2 interior angles =180
1 angle+70=180
Another angle=110
Step-by-step explanation:
the graph below shows how money has been budgeted for a certain company
The company has budgeted approximately 25% of its money on which of the following
Answer:
Shelter from a tornado should be sought:
in any of the above
in a room in the center of the first floor
in a basement
under a staircase in the center of the house
Shelter from a tornado should be sought:
in any of the above
in a room in the center of the first floor
in a basement
under a staircase in the center of the house
Point B has coordinates (4,2). The x-coordinate of point A is - 1. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?
Answer:
A (-1,-10) ; A (-1,14)
Step-by-step explanation:
[tex]\sqrt{(-1-4)^2 + (y-2)^2} = 13 \\ 25 + y^2 + 4 -4y = 169[/tex]
y^2 -4y - 140 = 0
Δ/4 = 4 + 140 = 144
y1 = 2 + 12 = 14
y2 = 2 -12= -10
Based on the Pythagorean theorem , find the missing length for each of the given right triangles
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the right trianglea are not given. The general explanation is as follows.
Using Pythagoras Theorem, we have:
a² = b² + c²
Where:
a => hypotenuse
Assume that the opposite and the adjacent sides are given as 3 and 4, respectively.
The hypotension becomes
a² = 3² + 4²
a² = 9 + 16.
a² = 25
Take square roots.
a = 5
If any of the other side lengths is missing; you make that side the subject and then solve.
PLS HELP ITS DUE AT 11:10
Answer:
Scalene.
Step-by-step explanation:
It's scalene because non of the triangle's sides are congruent.
Pls help I’m need to get my grade up
Answer:
38
Step-by-step explanation:
So, we know the formula is:
D=rt or D=r*t
We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.
Here are the two sets we can look at:
t=2, d=76
t=3, d=114
Lets plug these in and solve:
76=r*2
Divide both sides by 2 to get r alone:
38=r
Now lets check if this is true by pluggin in 38 for r in the second set, and seeing if it works:
D=r*t
114=38*3
=
114=114
So 38 is our answer.
Hope this helps!
