w+5=8 because 3+5=8 so
w+5=9 because we put w as 4
w +5=10 so w is 5
During the landing of mars science laboratory curiosity, it was reported that the signal from the rover would take 14 minutes to reach Earth. Radio signals travel at the speed of light, about 186,000 miles per hour. How far was Mars from Earth when Curiosity landed
Answer:
156,240,000 miles
Step-by-step explanation:
The speed of light is about 186,000 mi/s. The distance is then ...
(14 min)(60 s/min)(186,000 mi/s) = 156,240,000 mi
Mars was about 156 million miles from Earth.
The radius of a circle is 12 miles. What is the length of an arc that subtends an angle of
4
5
radians?
Using the length formula we know that the length of the given arc is 30.144 miles.
What is an arc?In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.
The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.
So, the formula to find the length of the arc is:
Length of an Arc = θ × r
Now, insert values and calculate as follows:
Length of an Arc = θ × r
Length of an Arc = 4π/5 × 12
Length of an Arc = 4π/5 × 12
Length of an Arc = 12.56/5 * 12
Length of an Arc = 2.512 * 12
Length of an Arc = 30.144
Therefore, using the length formula we know that the length of the given arc is 30.144 miles.
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Combine Like Terms. Need help really please
Answer:
-3y² + 2x +2+3x
Answer: \(-3y^{2} +5x+2\)
Step-by-step explanation:
\(-3y^{2} +2x+2+3x\\2x+3x=5x\\\)
that is all that you can combine so it makes the answer \(-3y^{2} +5x+2\)
A restaurant has 50 tables.
40% of the tables have 2 chairs at each table.
The remaining 60% of the tables have 4 chairs at each table.
Complete the model.
Then complete the statements to find the total number of chairs in the restaurant.\
Answer:
160 is the total
Step-by-step explanation:
Number of tables with 2 chairs: 20
Number of tables with 4 chairs: 30
40% of the tables have 2 chairs at each table. In total, there are
40 chairs at these tables.
60% of the tables have 4 chairs at each table. In total, there are 120 chairs at these tables.
Altogether, the restaurant has a total of 160 chairs
if is wrong i'm sorry
A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27). f(x) = -x3 - 4x2 + 3x. Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)
The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.
To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.
Now, let's evaluate f'(x) for each of the given x-values:
f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8
f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25
f'(0) = -3(0)^2 - 8(0) + 3 = 3
f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8
f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0
f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13
From the values above, we can determine the intervals where f(x) is decreasing:
f(x) is decreasing for x in the interval (-∞, -3).
f(x) is decreasing for x in the interval (1, 2).
Now let's check the ordered pairs in the table:
(-1, -6): Not in a decreasing interval.
(2, -18): Not in a decreasing interval.
(0, 0): Not in a decreasing interval.
(1, -2): In a decreasing interval.
(-3, -18): In a decreasing interval.
(-4, -12): Not in a decreasing interval.
Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).
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Note the complete and the correct question is
Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).
\(f(x) = -x^3 - 4x^2 + 3x\).
Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)
The function f(x)= -3x^3 + x^2 +2x rises as x grows very small.
A. True
B. False
False, the function f(x)=\(-3x^3 + x^2 +2x\) does not rises as x grows very small.
How to determine the statementFirst, we need to know that functions are described as laws, expressions or rules that are used to show the relationship between two variables in an equation.
These variables are known as;
The independent variableThe dependent variableThe function f(x) =\(-3x^3 + x^2 + 2x\) does not rise as x grows very small. When x approaches negative infinity, the dominant term is \(-3x^3\), which becomes increasingly negative.
Therefore, the function decreases as x grows very small in the negative direction.
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Name the two congruent triangles
Answer:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Step-by-step explanation:
The diagram given indicates the following:
<E ≅ <E (vertical angles)
AE ≅ DE
BE ≅ CE
Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.
Therefore:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
How many people will 1 cup of rice serve?
Answer:
4
Step-by-step explanation:
Answer:
it will serve 3 people!
Step-by-step explanation:
divide 6 by 2!
hope this helped!
for brainliest!
In a two-digit number, the first digit is 5 less than the second digit. The number itself is three times the sum of its digits. What is the number? (I WILL MARK BRAINLIEST)
Answer:
27
Step-by-step explanation:
taking the second digit as 'x'
as per question the first digit is 'x-5'
therefore putting this in the one, tens, hundreds form
u multiply the first digit by 10 and the second by 1
therefore,
10(x-5) + 1(x)
now you have that the 2-digit number is equal to twice the sum of the digits,
so
10(x-5) + 1(x) = 3 [ (x-5) + (x) ]
on solving
10x - 50 + x = 3 (2x - 5)
11x -50 = 6x - 15
taking 6x on the right and -50 on the left
11x - 6x = 50 - 15
5x = 35
therefore x = 7
now substituting this value we get that the number is
27
HELP??????????????????????????!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: A best friend listens to you. ... It doesn't matter how many times you've said the same asinine thing – a true best friend never tires of hearing your ridiculous stories. Your best friend is one who listens to your work gossip, even if he or she doesn't understand it.
Step-by-step explanation:
can anyone help with this?
Exterior angle c = the sun of the two opposite interior angles a and b.
10x -23 = 5x -17 + 7x -26
Combine the right side:
10x -23 = 12x -43
Add 43 to both sides:
10x +20 = 12x
Subtract 10x from both sides:
20 = 2x
Divide both sides by 2
X = 10
Now you have x replace it in the equation for A:
A = 5x -27 = 5(10) -27 = 50-27 = 23
Angle A = 23 degrees.
Answer:
thats all i know so far. i dont know if you are adding or multiply but if adding then the answer is -647. if your multiplying then the answer is -5,651,100.
Step-by-step explanation:
A- (5x - 27)= -137
B-(7x - 26)= -182
C-(10x 23)= -230
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y=2x+6
Step-by-step explanation:
Use powers to rewrite these problems: Example: 5 x 5 = 52
a. 5 * 5 * x*x*x
b. 8*8*8 = 8^3
c. 4*4*4*x*x*x*x
Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?'
Answer:
4
Step-by-step explanation:
16 = 2 * 2 * 2 * 2
24 = 2 * 2 * 2 * 3
32 = 2 * 2 * 2 * 2 * 2
HCF = 2 * 2 * 2 = 8
Possible common factors are 1 , 2 , 4 , 8
Ratio in which flowers to be used 16:24 : 32
= 2 : 3 : 4
4 Possible arrangement
Orange White Baloon
2 3 4
4 6 8
8 12 16
16 24 32
a The function f(x) = |x - 3| can be used to determine how far a number is away from the number 3 on the number line. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
Thank you!
f(-4) = 7
the number _-4_
is a distance of _7_ units away
This interpretation (Please reply and tell what options it shows when you click that thing after this interpretation)
f(0) = 3
meaning the number 0
is a distance of 3 units away from 3
This interpretation (Please reply and tell what options it shows when you click that thing after this interpretation)
For the stuff after this interpretation i will tell you after you reply to this answer and tell me what appears when you click it
Step-by-step explanation:
IF CORRECT I WILL GIVE BRAINLIEST!!
Answer is not 9. IDK THE ANSWER. The last few problems everybody is saying it is 9.
Please help me do this problem!
Screenshot below!
Answer:
2
Step-by-step explanation: I'm not very smart, nor do I understand this, so it's probably wrong but I'm just trying to help
Determine the relationship between the angle θ of a circular sector of a circumference of radius 10 cm and the area Aθ of the sector; and calculate the area for an angle of π/4
The area is:
A = (θ/2)*R^2
The circumference is:
C = θ*R
And the area of the circle when the angle is π/4 is: 39.25 cm^2
How to find the area in terms of the angle?
For a circle of radius R, the area is:
A = pi*R^2
where pi = 3.14
And the circumference is:
C = 2*pi*R
Now, remember that a circle has an angle of 2pi radians, then if we only define an arc in the circle, defined by an angle θ, the area of said arc will be:
A = (θ/2pi)*pi*R^2 = (θ/2)*R^2
And the circumference is:
C = (θ/2pi)*2pi*R = θ*R
Now, we want to find the area when the circle has a radius R = 10cm and θ = pi/4
Replacing that in the area equation, we get:
A = (pi/4/2)*(10cm)^2 = (3.14/8)*(10cm)^2 = 39.25 cm^2
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Help please! Which of the following tables represents a relation that is a function? Explained answer please
A
B
C
D
Answer:
Step-by-step explanation:
THE ANSWER TO YOUR QUESTION IS C.
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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The perimeter of a rectangle is 73 inches. If the length is 16 inches, write and solve an equation to
find the width.
Answer:
Step-by-step explanation:
The equation for finding the perimeter of a rectangle is 2Lx2H
So since the length is 16, you multiply that by 2 to get 32.
Then you subtract 32 from 73 which leaves you with 41, then your equation is left as 2H=41, so you divide 41 by 2 which is 20.5, and that is your height
hope this helped!
Answer:
5
Step-by-step explanation:
73/16
16*5=73
You roll a fair six-sided die twice. The
first roll shows a five and the second roll
shows a two.
Answer:
their is a 1 in 36 chance that happens
Is the number 25/9 irrational?
Answer:
Step-by-step explanation:
No; it is rational. 25/9 is the ratio of two integers.
Explanation:
We have a fraction of two integers, so 25/9 is rational. A rational number is any fraction of two integers (as long as the denominator is not zero).
Something that is irrational would be pi = 3.14159... where we cannot write it as a fraction of two integers. We can get approximations such as 22/7, but we cannot land exactly on pi with a fraction like this. Another irrational value is sqrt(2).
Something like sqrt(25) is rational though because sqrt(25) = 5 = 5/1.
B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
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plz help i have 10 min to answer and if not i'm getting whooped
Answer:
x < 14
Step-by-step explanation:
When the circle is open that means it is not equal to and the line is going to the left so it is less than
x+11=35 solve on algebraic equation
Answer:
x = 24
Step-by-step explanation:
x + 11 = 35
x = 35 - 11
x = 24
x+11=35
Subtract 11 on both sides.
x=35−11Subtract 11 from 35 to get 24.
x=24 === AnswerGiven y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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Dakota earned $15.00 in interest in Account A and $22.50 in interest in Account B after 18 months. If the simple interest rate is 4% for Account A and 5% for Account B, which account has the greater principle? Explain.
Answer:
Step-by-step explanation:
Dakota kiếm được 15 đô la tiền lãi trong Tài khoản A và 22,50 đô la tiền lãi trong Tài khoản B sau 18 tháng
SOMEONE, PLEASE HELP I WILL GIVE THA BRAINLIST
The managers at a clothing store determine its prices by using a markup of 8%. If the managers purchase a batch of black shirts for $19 each, what price will they charge their customers?
Answer:
$20.52
Step-by-step explanation:
19 × 8% = 1.52
1.52 + 19 = $20.52