Answer:
-14
Step-by-step explanation:
let the number= X
from the statement,
(X+6)×2 = X - 2
open bracket
2X +12 = X- 2
2X-X = -2-12
X = -14
A coin is tossed 20 times with the following results:
HHHTTTTHTTHHTTHTHHHH
What is the experimental probability of the coin landing on tails?
Using it's concept, it is found that there is a 0.45 = 45% experimental probability of the coin landing on tails.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these number of outcomes are taken from previous trials.
In this problem, 9 out of 20 trials resulted in tails, hence the experimental probability is given by:
p = 9/20 = 0.45 = 45%.
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circle theorem - find x - 2 lines are tangent to a circle
Answer:
B. 140
just do an elimination process to figure out 160 is more wider and 90 is just too small
so it was between 100 and 140
Multiply and simplify the product. (3 – 5i)(–2 4i) select the product. 14 2i 14 22i 15 22i 26 2i
The product of the expressions (3 – 5i) and (–2 + 4i) is 14 + 2i. Then the correct option is A.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are (3 – 5i) and (–2 + 4i).
Then the product of the expressions will be
(3 – 5i)(–2 + 4i)
–6 –10i + 12i –20i²
We know that i² = –1, then we have
–6 + 2i –20 (–1)
–6 + 2i + 20
14 + 2i
More about the multiplication link is given below.
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Answer: B- 14+22i
Step-by-step explanation: edge 2023
I NEED HELP PLEASE... HELPPPP MEEEE
Write a quadratic equation to represent each situation. Use your equation to answer each question. Be sure to define your variables and identify which is independent and which is dependent. Show all work. Round any decimals to the nearest hundredth.
1. A rocket is launched from a height of 10 meters with an upward velocity of 56 meters per second.
a. When will the rocket hit the ground?
b. What is the maximum height of the rocket?
c. After how many seconds does the rocket reach the maximum height?
2. A wooden deck of uniform width surrounds a rectangular pool as shown in the following image. The pool is 10 feet by 14 feet. What is the area of the wooden deck that surrounds the pool (not including the pool)?
a. If the deck is 3 feet wide, what is the area of the deck?
b. The area of the deck is 112 square feet. How wide is the deck?
3. A coffee shop sells 150 coffees a day at $3.50 apiece. They found for every $0.50 increase in price, they sell 10 fewer cups of coffee a day. The cups of coffee cost the shop $1.50 apiece.
a. How much should they charge to maximize their daily profits?
b. How many cups of coffee will they sell daily at that price?
c. What will their daily profits be?
Answer:
56. In the Vector Addition Lab, Anna starts at the classroom door and walks:
2.0 meters, West
12.0 meters, North,
31.0 meters, West,
8.0 meters, South
3.0 meters, East
Using either a scaled diagram or a calculator, determine the magnitude and direction of Anna's resulting displacement.
Answer: 30.3 meters, 172 degrees
To insure the most accurate solution, this problem is best solved using a calculator and trigonometric principles. The first step is to determine the sum of all the horizontal (east-west) displacements and the sum of all the vertical (north-south) displacements.
Horizontal: 2.0 meters, West + 31.0 meters, West + 3.0 meters, East = 30.0 meters, West
Vertical: 12.0 meters, North + 8.0 meters, South = 4.0 meters, North
The series of five displacements is equivalent to two displacements of 30 meters, West and 4 meters, North. The resultant of these two displacements can be found using the Pythagorean theorem (for the magnitude) and the tangent function (for the direction). A non-scaled sketch is useful for visualizing the situation.
Applying the Pythagorean theorem leads to the magnitude of the resultant (R).
R2 = (30.0 m)2 + (4.0 m)2 = 916 m2
R = Sqrt(916 m2)
R = 30.3 meters
The angle theta in the diagram above can be found using the tangent function.
tangent(theta) = opposite/adjacent = (4.0 m) / (30.0 m)
tangent(theta) = 0.1333
theta = invtan(0.1333)
theta = 7.59 degrees
This angle theta is the angle between west and the resultant. Directions of vectors are expressed as the counterclockwise angle of rotation relative to east. So the direction is 7.59 degrees short of 180 degrees. That is, the direction is ~172 degrees.
Useful Web Links
Vector Addition
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57. In a grocery store, a shopper walks 36.7 feet down an aisle. She then turns left and walks 17.0 feet straight ahead. Finally, she turns right and walks 8.2 feet to a final destination. (a) Determine the magnitude of the overall displacement. (b) Determine the direction of the displacement vector relative to the original line of motion.
Answer: (a) 48.0 feet; (b) 21 degrees from the original line of motion
This problem is best approached using a diagram of the physical situation. The three displacements are shown in the diagram below on the left. Since the three displacements could be done in any order without effecting the resulting displacement, these three legs of the trip are conveniently rearranged in the diagram below on the right.
Now it is obvious from the diagram on the right that the three displacement vectors are equivalent to two perpendicular displacement vectors of 44.9 feet and 17 feet. These two vectors can be added together and the resultant can be drawn from the starting location to the final location. A sketch is shown below.
Since these displacement vectors are at right angles to each other, the magnitude of the resultant can be determined using the Pythagorean theorem. The work is shown below.
R2 = (44.9 ft)2 + (17.0 ft)2 = 2305 ft2
R = Sqrt(2305 ft2)
R = 48.0 feet
The angle theta in the diagram above can be found using the tangent function.
tangent(theta) = opposite/adjacent = (17.0 ft) / (44.9 ft)
tangent(theta) = 0.3786
theta = invtan(0.3786)
theta = 20.7 degrees
This is the angle which the resultant makes with the original line of motion (the 36.7 ft displacement vector).
Useful Web Links
Vector Addition || Vector Components || Vector Resolution
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58. A hiker hikes 12.4 km, south. The hiker then makes a turn towards the southeast and finishes at the final destination. The overall displacement of the two-legged trip is 19.7 km at 309 degrees . Determine the magnitude and direction of the second leg of the trip.
Answer: 12.7 km, 347 degrees
Like the previous problem (and most other problems in physics), this problem is best approached using a diagram. The first displacement is due South and the resulting displacement (at 309 degrees) is somewhere in the fourth quadrant. (It is in the fourth quadrant because 309 degrees lies between 270 degrees or due South and 360 degrees or due East.) For communication sake, we will refer to the first displacement as A and the second displacement as B. Note that A + B = R. Since the magnitude and direction of the resultant is known, the x- and y-components can be determined using trigonometric functions. Since the angle of 309 degrees is expressed as a counterclockwise angle of rotation with due East, it can be used as the Theta in the equation.
Rx = R•cos(theta) = 19.7 km • cos(309 deg) = 12.398 km
Ry = R•sin(theta) = 19.7 km • sin(309 deg) = -15.310 km (the "-" means South)
Whatever the magnitude and direction of B is, it must add on to vector A in order to give a southward displacement of 15.310 km and a eastward displacement of 12.398 km. This could be expressed by mathematical equations as
Researchers studied the role that the age of workers has in determining the hours per month spent on personal tasks. A sample of 1,686 adults were observed for one month. The data are:
The 98 percent confidence interval for the mean hours spent on personal tasks for 25-44 years olds will be (3.97, 4.11).
How to calculate the confidence interval?From the complete information, it should be noted that the mean is 4.04, the standard deviation is 0.81 and the number is 708.
Since the sample size is large, so the z-critical will be used. In this case, the critical value is 2.33.
The 98% confidence interval will be:
= 4.04 + 2.33(0.81/✓768)
= 4.11
Also, 4.04 - 2.33(0.81/✓768)
= 3.97
Therefore, the 98% confidence interval is (3.97, 4.11).
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Sasha ordered a kite online. When it arrived the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite?
4 in. 4 in.
crossbar
Answer:
[tex]\sqrt32} inches[/tex]
Step-by-step explanation:
The crossbar and two given lengths form a right triangle. We know this because we see a right angle marked on the diagram in between the two given sides.
For which interval is the average rate of change of f(x) negative?
The interval at which the average rate of change of f(x) is negative is from x = 0 to x = 2.5.
What is the average rate of change?The average rate of change is a type of function that describes the average rate at which a quanity decreases or increases with respect to another quanity.
Generally, for a function with a negative average rate of change, the graph must face down and have a negative slope.
Based on the graph shown in the image attached below, we can deduce that the interval for which the average rate of change of f(x) is negative is from x = 0 to x = 2.5.
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Calculate the perimeter of the shape below. Show ur work!
Answer:
22 is the perimeter.
Step-by-step explanation:
You find the perimeter by adding up all of the sides of a shape. 9 + 9 = 18. 18 + 4 = 22.
The radius
of a sphere is 6 units.
Which expression represents the volume of the sphere,
in cubic units?
O ¾7(6)2
• 57(6)3
0 -(12)2
5a(12)3
Answer:
4/3 πr^3
= 4/3π (6)^3
therefore the answer is C
-1/3-4/9 i don't know how to subtract fractions
Answer: -7/9
Step-by-step explanation: Get the LCM of the denominator 3 and 9
Place both fractions using same LCM
You will have - 3/9 -4/9 = -7/9
Because they both have negative signs, you will add 3 and 4
Which is the best prediction of the test score for someone who completes 14 assignments? 20 70 50 100
Divide. Give the quotient and remainder. 4374/5
Answer:
874
rem = 4.
Step-by-step explanation:
4374/ 5
= 874 remainder 4
quick?
Graph the circle with center (−1, 2) that passes through (−6, 2). Find the area in terms of π and to the nearest tenth. Use 3.14 for π.
Answer:
The area is 78.5.
Step-by-step explanation:
The formula for the area of a circle is π r^2
In this case, r = 5.
HELPP me please I beg
Answer: 78
Step-by-step explanation:
Area=b x h
13 x 6 =78
Answer:
78 m
Step-by-step explanation:
The formula to find the area of a rectangle or square = length * Height
A = L * H
In this scenario, the length is 6 and the height is 13
So the area (A) = 6 * 13 = 78
And don't forget your units ;)
I've tried everything
Answer:
14,200 pounds.
1. Convert the mixed fraction into improper fraction:
To convert a mixed fraction into an improper fraction, we must multiply the whole number with the denominator and add the numerator to the product. The denominator of the improper fraction will remain the same as the denominator in the mixed fraction.
[tex]\implies 7 \dfrac{1}{10} = \dfrac{(7 \times 10) + 1}{10} = \dfrac{71}{10}[/tex]
2. Determine the number of pounds in 71/10 tons
It should be noted that:
Conversion: 1 ton = 2000 poundsNow, let's use the unitary method to determine the amount of pounds in 71/10 tons. Multiply both sides by 71/10 to do so.
[tex]\implies \text{1 ton = 2000 pounds}[/tex]
[tex]\implies \text{1 ton} \times \dfrac{71}{10} = 2000 \times \dfrac{71}{10}[/tex]
[tex]\implies \dfrac{71}{10}\text{ ton} = 200 \times 71[/tex]
Simplify as needed:
[tex]\implies \dfrac{71}{10}\text{ ton} = 14,200 \ \text{pounds}[/tex]
27
4 points
The ideal gas law, PV = nRT, is a well-known equation in science that describes the behavior of gases. P
is the pressure of the gas, Vis the volume of the gas, n is the amount of the gas, Ris the constant, and Tis
the temperature of the gas. Which of the following statements are equivalent to the equation written
above? Select all that apply.
P = nRt/V
T = PV-nR
V = nRT/P
n=PV/RT
R=nT/PV
Answer:
1,3,4
Step-by-step explanation:
ıf we rearrange formula we can obtain
p=nrt/v
t=pv/nr
v=nrt/p
r=pv/nt
Find the value of x.
91°
(7x)
Answer:
13
Step-by-step explanation:
This angle is called a reflective angle so the angles equal eachother. So put them equal to eachother and solve.
91=7x
x= 91÷7
x=13
can someone simplify this?? ty!
-(x-8)²+4
Answer:
-x² + 16x - 60
Step-by-step explanation:
Given expression:
-(x - 8)² + 4Step 1. Insert brackets to isolate the "-" from the (x - 8)².
⇒ -(x - 8)² + 4
⇒ -[(x - 8)²] + 4
Step 2. Use the formula (a - b)² = a² - 2ab + b²
⇒ -[(x - 8)²] + 4
⇒ -[x² - 2(x)(8) + 8²] + 4
Step 3. Open the parenthesis
⇒ -[x² - 2(x)(8) + 8²] + 4
⇒ -x² + 2(x)(8) - 8² + 4
Step 4. Simplify as needed
⇒ -x² + 16(x) - 64 + 4
⇒ -x² + 16x - 60
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2
Solving them, it is found that the equivalent equations are given as follows: 2 + x = 5, x + 1 = 4, -5 + x = -2.
What are equivalent equations?Equivalent equations are equations that have the same solution.
In this problem, the equations and their solutions are given as follows.
2 + x = 5 -> x = 3.x + 1 = 4 -> x = 3.9 + x = 6 -> x = -3.x - 4 = 7 -> x = 11.-5 + x = -2 -> x = 3.Hence the equivalent equations are: 2 + x = 5, x + 1 = 4, -5 + x = -2.
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Determine the slope of the line that passes through the points (9,-3) and (-9,-6)?
Answer:
slope = 1/6
all steps in picture. :)
Slope:-
m=-6+3/-9-9m=-3/-18m=1/6Will give brainlest and 50 points. thanks!
Answer:
A 5(0.5)^x
B 3(2)^x
C 5(3)^x
D 8(1.25)^x
E 8(0.75)^x
F 10(0.5)^x
Step-by-step explanation:
A 5(0.5)^x
(-1,10) goes by 1/2
B 3(2)^x doubles
C 5(3)^x triples
D 8(1.25)^x * 1 1/4
E 8(0.75)^x by 3/4
F 10(0.5)^x x 1/2
NEED HELP ASAP 20POINTSS
Answer:
a) Low: 45 Q1=80 Q2=89 Q3=94 High=100 b) Look at attached image
Step-by-step explanation:
Organized numbers: 45,70,72|,80,|82,85,88|,89,|90,92,92|,94,|98,100,100
mark medians
Graph created in Desmos
What is the difference of the polynomials?
(8r6s3 - 9r5s4 + 3r4s5) - (2r4s5 - 5r3s6 - 4r5s4)
Answer:
see image.
Step-by-step explanation:
Since this is a subtraction problem remember to 'add the opposite' So change to addition between the two sets of parenthesis and change all the signs/operations in the second term.
Then combine like terms. This means the terms can only be added or subtracted if the have exactly the same variables and exponents. See image.
Mark said, "in the data set,4, 5, 5, 8, the mean and mode the same. " Is he correct? Explain why or why not in your explanation make sure to state the value of the the means and the mode
Answer:
No
Step-by-step explanation:
the mean is 16 (add 4+5+5+8, then divide answer by 4) and the mode is 5 (occurs most in data)
A line passes through the point (-8,6) and has a slope of -5/4
Write an equation in point-slope form for this line
Answer:
y = 5/4x + 6
Step-by-step explanation:
take the y coordinate in (-8,6) which is 6.
take the slope.
y = (put slope here)x + (put y coordinate here) !
thats it :) have a good day!
A company claims that 9% of the items produced on a new machine are defective.
The factory will get rid of the machine if the data indicates that the proportion of defective items is more than 9%.
They take a random sample of 300 items and 50 are defective.
What null hypothesis is appropriate?
Considering the situation described, the appropriate null hypothesis is given by:
[tex]H_0: p = 0.09[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is the expected one, that is, of 9%, hence:
[tex]H_0: p = 0.09[/tex]
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the proportion is above 9%, hence:
[tex]H_1: p > 0.1[/tex].
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Which choice represents the expression below as a single exponential
expression?
4^5 • 42
• A. 410 . 410
O B. 410
O c. 43
O D. 47
Answer:
D
Step-by-step explanation:
When multiplying numbers with the same base but different exponents, add the exponents together.
show division using an array 1. 24÷4 Quotient= Remainder=
Answer:
Quotient: 6
Remainder: None
Step-by-step explanation:
24 divided by 4 is 6.
Given that 1 centimeter is approximately 0.4 inches, how many inches
are in 58 centimeters?
Round your answer to the nearest tenth.
Answer:
Hello,
To find amount of inches in 58 centimeters, you need to use the information given.
0.4 inches = 1 centimeter
??? inches = 58 centimeter
58 x 0.4
= 23.20
Hence your answer is 23.2 inches are in 58 centimeters
Hope this helps ^^
The math club is doing a car wash as a fundraiser. They charge $7 per car and $12 per minivan. The club wants to raise
$600
Which equation in standard form shows how many cars and minivans m they need to wash to meet their goal
Answer:
7x+12y ≤ 600
or7x+12y = 600
Step-by-step explanation:
Lets first call cars x and minivans y. Since they want to raise 600, you can do the sign ≤ and 600
≤ 600
Since it is $7 per car, we can do 7x.
Since it is $12 per minivan, we can do 12y.
Together, they have to add up to 600 or more.
7x+12y ≤ 600
If you provide some options, I might be able to give a better answer. Without options, I can't tell if they want an exact answer or not. So technically, the answer could also be:
7x+12y = 600