5-3y=6 so (5-3y)squared is 36
What is the square of a number?
The square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3.
From the question;
The equation 5 - 3y = 6. Next we are to find (5 - 3y)².
If we know 5 - 3y = 6, we can turn this equation, (5 - 3y)²
into this: 6² (because we can substitute the expression with 6)
6² is 36.
Hence, [tex](5-3y)^{2}[/tex] is 36
Learn more about square of a number at:https://brainly.com/question/27307830
#SPJ1
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = [tex]\frac{1}{2}[/tex] (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = [tex]\frac{1}{2}[/tex] x - 5 ← equation of parallel line
The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the standard deviation is 8 months. Find the probability that
sample of 29 smoke detectors will have a mean lifetime
between 57 and 64 months. Assume that the sample is taken from a large population and the correction factor can be ignored.
Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places.
The required probability is 0.8945 that a sample of 29 smoke detectors will have a mean lifetime between 57 and 64 months.
To find the probability that a sample mean is between 57 and 64 months, we need to find the standard deviation of the sample mean, which is given by the standard deviation of the population divided by the square root of the sample size.
The standard deviation of the sample mean = standard deviation of the population / square root of sample size = 8 / √(29) = 8 / 5.385 = 1.48
Next, we need to standardize the interval of 57-64 months by subtracting the mean and dividing it by the standard deviation of the sample mean.
z₁ = (57 - 60) / 1.48 = -2.03
z₂ = (64 - 60) / 1.48 = 1.35
Finally, we can use a standard normal table to find the area under the normal curve between z₁ and z₂, which gives us the probability of a sample mean falling in the interval (57, 64).
P(57 < X < 64) = P(-2.03 < Z < 1.35) = 0.9790 - 0.0845 = 0.8945
Therefore, the final answer is 0.8945, rounded to four decimal places.
Learn more about the standard deviation here:
https://brainly.com/question/16555520
#SPJ1
On the unit circle the radius of the circle is 1, which means x=
Answer:
In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.
Step-by-step explanation:
K
A recipe for soup calls for 4 tablespoons of lemon juice and cup of olive oil. The given recipe serves 2 people, but a cook wants to make a larger batch that serves 20.
a) How many cups of lemon juice will the chef need for the larger batch?
b) How many pints of olive oil will the che need for the larger batch?
a) The chef needed
cups of lemon juice for the larger batch.
(Type a whole number, proper fraction, or a mixed number.)
Answer: A) 2 and a half B) 5 pints
Step-by-step explanation:
in 1 cup there are 16 table spoons.
a) 4tbsp (2 servings) times 10 (to reach 20 servings) =40 tbsp
40/16 =2.5
ANSWER A= 2 and a half cups of lemon juice.
in 1 pint there are 2 cups.
b)
1 cup = 1/2 a pint,
1/2 pint (2 servings) times 10 (to reach 20 servings) = 5 pints
ANSWER B= 5 pints of olive oil
The quotient of a number and two increased by 2 is 9. What is the number
Answer:
x = 3.5
Step-by-step explanation:
x/2 + 2 = 9
x/2 = 7
x = 3.5
plot the numbers -1.5 3/2, 3/2 and-4/3 on the number line.
Answer: -1.5, -4/3, 3/2, 3/2
Step-by-step explanation:
First, convert the numbers to decimals or fractions.
-1.5
3/2 = 1.5
3/2 = 1.5
-4/3 = -1.3
Therefore, on a number line, the numbers would be in the following order:
-1.5, -4/3, 3/2, 3/2
Height (in inches)
Class Frequency, f
50-52
5
53-55
8
56-58
12
59-61
13
62-64
11
What is the Sum of the Xm'f Coulumn
To find the sum of the Xm'f column, we first need to calculate the midpoint (Xm) for each class interval and then multiply it by the frequency (f) for that interval. The midpoint of each class interval can be calculated as the average of the lower and upper bounds of the interval.
For the first class interval 50-52:
Xm = (50 + 52) / 2 = 51
Xm'f = Xm * f = 51 * 5 = 255
For the second class interval 53-55:
Xm = (53 + 55) / 2 = 54
Xm'f = Xm * f = 54 * 8 = 432
For the third class interval 56-58:
Xm = (56 + 58) / 2 = 57
Xm'f = Xm * f = 57 * 12 = 684
For the fourth class interval 59-61:
Xm = (59 + 61) / 2 = 60
Xm'f = Xm * f = 60 * 13 = 780
For the fifth class interval 62-64:
Xm = (62 + 64) / 2 = 63
Xm'f = Xm * f = 63 * 11 = 693
Finally, we can add up the Xm'f values for each interval to get the sum of the Xm'f column:
Sum of Xm'f = 255 + 432 + 684 + 780 + 693 = 2954
So the sum of the Xm'f column is 2954.
You are getting on a plane to visit family 1200 miles away. The plane you are boarding will travel on
average 500 miles per hour. How long will the trip take you?
Answer:
Step-by-step explanation:
2 hrs 12 mins
1. Pemba attempted 25 free throws. She made 12 of them and missed 13.
Show her free-throw results as a fraction. Explain why a fraction is a
useful way to show these statistics.
She made 12 out of 25 free throws, so in fraction it is expressed as 12/25. A fraction is useful here to show how many of her throws are successful compared to all the attempted throws.
A fraction is defined to be a part of a whole. It can also be defined as a numerical quantity that's not an integer. The parts of a whole or collection of things can be represented by a fraction. For instance, to cut a pie in half means we cut the pie so that there will be 2 halves of the pie.
A common fraction has two parts, which are the numerator and the denominator. The number above the line is the numerator, while the number under the line is the denominator. The numerator represents the parts and the denominator represents a whole collection.
Learn more about fractions at https://brainly.com/question/17220365.
#SPJ1
Work out the following sheet
x = 112 degrees.
A full triangle is 180 degrees total so do 180 - (39 + 29) = 112.
y = 220 degrees.
The sum of exterior angles are 360 degrees so 360 - 140 = 220.
Mark me Brainliest :D
If f(x)=2x-10 and the domain of f(x) is the set of untethers from -1 to 3 which values are elements of the range of f(x) Select all that apply
Answer:The range is all number greater than -10, so the values that are elements of the range of f(x) are c) -9, d) -6, and e) -2
Step-by-step explanation:
wat factor of 26 is between 4 and 26
Answer:
13
Step-by-step explanation:
cos 13 x 2 = 26
13 is a factor that is more than 4 and less then 26
The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.
Explanation:In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.
To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.
Learn more about Factors here:https://brainly.com/question/31931315
#SPJ2
2/23 divided by 3 1/2
Answer:
4/161
Step-by-step explanation:
2×2
____
23×7
=4
161
=4
161
What is the volume of the composite figure shown below? 15 mm 13 mm 15 mm 3 mm 12 mm O 1,008mm^3 O 2,412mm^3 O 2,880mm^3 O 3,465mm^3
The volume of the composite figure is: 2,412 millimeters cubed.
How to find the Volume of the composite figure?
Dimension of top rectangular prism:
Volume of top rectangular prism = 13× 12× 12
Volume of top rectangular prism = 1872 mm³
Dimension of bottom rectangular prism:
Volume of bottom rectangular prism = 15× 12× 3
Volume of bottom rectangular prism = 540 mm³
Volume of the composite figure = 1872 + 540
Volume of the composite figure = 2412 mm³
Therefore the volume of the composite figure is 2412 mm³.
Learn more about volume of the composite figure here:https://brainly.com/question/12621568
#SPJ1
Mr. Olsen has a computer business in which he sells everything at 44.5% above the wholesale price. If he purchased a printer for $80 wholesale, what will be the retail price?
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.
Then the retail price is given as,
⇒ $80 x (1 + 0.445)
⇒ $80 x 1.445
⇒ $115.60
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
This is a Algebra probolem
Answer:
B=B1B2B3/B1B2+B2B3+B1B3
Step-by-step explanation:
B1 B2 B3=B2B3B+B1B3B+B1B2B
B2B3B+BB1B3B+B1B2B=B1B2B3
(B2B3+B1B3+B1B2)B=B1B2B3
B=B1B2B3/B2B3+B1B3+B1B2
B=B1B2B3/B1B2+B2B3+B1B3
Pat and Rich drove to the beach
last weekend. It took them twice as
long to get back as it did to drive
there. If they spent 9 hours traveling
to and from the beach, how long
did it take them to drive each way?
The total time that it took Pat and Rich to get to the beach is given as 3 hours.
How to solve for the total timeLet's call the time it took Pat and Rich to drive to the beach "t".
Since it took them twice as long to get back, it took them 2t to get back.
The total time they spent traveling was 9 hours, so we can set up an equation:
t + 2t = 9
Combining like terms:
3t = 9
Finally, dividing both sides by 3:
t = 3
So it took them 3 hours to drive to the beach, and 6 hours to drive back.
Read more on total time here; https://brainly.com/question/24739297
#SPJ1
A 2-ft vertical post casts a 10-in shadow at the same time a nearby cell phone tower casts a 115-ft shadow. How tall is the cell phone tower in feet? Your answer
The height of the cell phone tower in feet is solved to be 23 feet
How to find the height of the cell phone towerThe height of the cell phone tower is calculated using the concept of similar triangle and the equation is as follows
A 2-ft vertical post casts a 10-in shadow
2 / 10
nearby cell phone tower casts a 115-ft shadow
let the height be x
x / 115
equating the proportions
2 / 10 = x / 115
cross multiplying
10x = 2 * 115
x = 2 * 115 / 10
x = 23 ft
The height of the tower is 23 feet
Learn more about similar triangles at:
https://brainly.com/question/2644832
#SPJ1
The boiling point of water is 212°F at sea level. Andres lives at an elevation of
7500 ft and finds that water boils at 198°F, What is the percent decrease in
the boiling point of water from sea level to 7,500 ft? Give your answer to the
nearest tenth of a percent. Show your work.
The percent decrease in the boiling point of water from sea level to 7,500 feet is equal to 18.7%.
What is a percentage?In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
In order to determine the percent decrease in the boiling point of water from sea level to 7,500 feet, we would determine the difference in temperature as follows;
Difference in temperature = 212°F - 198°F
Difference in temperature = 14°F
Percentage decrease = 14/7500 × 100
Percentage decrease = 0.00187 × 100
Percentage decrease = 18.7%.
Read more on percentage here: brainly.com/question/11360390
#SPJ1
Given: f(x) = 2/3x-4 and g(x) = x + 1
Four statements about this system are written
below.
I.f(4) = g(4)
II.When x = 12, f(x) = g(x).
III. The graphs of f(x) and g(x) intersect at
(12,4).
IV. The graphs of f(x) and g(x) intersect at
(4, 12).
Which statement(s) are true?
A. II, only
C. I and IV
B. IV, only
D. II and III
The statements that are true about the two given functions intersections are; D. II and III
How to find the points of intersection of functions?The functions we are working with are;
f(x) = ²/₃x - 4
g(x) = ¹/₄x + 1
I) f(4) = ²/₃(4) - 4 = -4/3
g(4) = ¹/₄(4) + 1 = 2
II) f(12) = ²/₃(12) - 4
f(12) = 4
g(12) = ¹/₄(12) + 1
g(12) = 4
III) The coordinates of their intersection is; 12, 4
IV) This is incorrect
Read more about Function points of intersection at; https://brainly.com/question/11337174
#SPJ1
Write an equation for the following points. (1, 100) (2, 50) (4, 25), (5, 20)
The equation of line is y = -50x + 150
What is Slope?
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Points:(1, 100) (2, 50) (4, 25), (5, 20)
so, the slope is
= (50-100)/ (2-1)
= -50 /1
= -50
using slope intercept form
y - 100 = m (x- 1)
y- 100 = -50(x-1)
y- 100 = -50x + 50
y = -50x + 50 + 100
y = -50x + 150
Hence, the equation of line is y = -50x + 150.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ1
explain a drop of 200 feet
Answer:-200
Step-by-step explanation:
Write your own expression with coefficient -4 and constant 8.
Answer: you need to do it on your own
Step-by-step explanation:
Describe each translation in words T(x,y) (x+4,y+9)
The translation means that the x coordinate is moving 4 units to the right and the y coordinate is moving9 units to the right.
What is translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions. The shape just shifts from one place to another, therefore there is no change in the shape.
The translation is T(x,y) (x+4,y+9).
The translation means that the x coordinate is moving 4 units to the right and the y coordinate is moving9 units to the right.
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ1
To obatin the graph of y=(x-8)^2 shifts the graph of y=x^2
To obatin the graph of y=(x-8)^2 shifts the graph of y=x^2 8 units right
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
y=(x-8)^2
y = x^2
In the above equations, we can see that
The value of 8 is subtracted from x in y = x^2 to get y = (x - 8)^2
This represents a right translation by 8 units
Hence, the translation is 8 units to the right
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
1. You have the digits 0-9. How many 6-digit permutations are odd and do not start with 0
Answer:
We have 10 digits to choose from (0-9), so the total number of 6-digit permutations is 10 × 10 × 10 × 10 × 10 × 10 = 1,000,000.
Of these, the permutations that start with 0 can be eliminated, leaving 9 × 9 × 9 × 9 × 9 × 9 = 729,000.
Now, we need to figure out how many of these are odd. To do this, we note that odd numbers end in 1, 3, 5, 7, or 9. This means that the last digit of an odd 6-digit permutation is always one of these five digits. Since we are choosing the last digit from 5 options, there are 5 × 729,000 = 3,645,000 odd 6-digit permutations that do not start with 0.
find two numbers with a sum of 13 and a difference of 5
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Is the product positive or negative? Why?
The multiplication expression with eight rational factors are ''positive''.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.
Hence, The multiplication expression with eight rational factors are positive.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
Find the surface area if the pyramid
Answer: [tex]533 yd^{2}[/tex]
Step-by-step explanation:
The surface area of the base is:
(20 x 17.3) / 2
= 346 / 2
= 173
The surface area of one of the three identical triangles is:
(20 x 12) / 2
= 240 / 2
= 120
So in total, your answer would be one base plus three of those identical triangles:
173 + (3 x 120)
= [tex]533 yd^{2}[/tex]
Find the difference 800-699
Answer: The answer is 101