Answer:
[tex]{ \rm{ac = ab + bc}} \\ { \rm{(x + 3) = (2x - 11) + 8}} \\ { \rm{2x - x = 3 + 11 - 8}} \\ { \rm{x = 6}}[/tex]
Write 4.13 ×10 with exponent -5 in standard form.
Answer: 0.0000413
Step-by-step explanation:
The -5 exponent is the amount of zeros that go behind 413.
Make sense and persevere point y is in the interior of
The angles ∠YWZ and ∠XWY are 36° and 144° respectively.
WX and WZ are two opposite rays, so they form a straight line.So, the angle ∠XWZ is equal to 180°.Y is an interior point of ∠XWZ.We are given that the angle ∠XWY is 4 times the angle ∠YWZ.Let the angle ∠YWZ be "x".Then, the angle ∠XWY is equal to 4x.The sum of the angles, i.e., the angle ∠XWZ is 5x.5x is equal to 180°.x is equal to 180°/5.x is equal to 36°.Thus, the angle ∠YWZ is 36°.The angle ∠XWY is 4*36°.Thus, the angle ∠XWY is 144°.To learn more about angles, visit :
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A coach asked her athletes if they enjoy running. Forty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.
a tree diagram shows athletes branching off into two categories of enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories of enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two sub-categories of enjoys cycling and does not enjoy cycling
What is the total percentage of the athletes who do not enjoy cycling?
50%
24.5%
13.5%
11%
Based on the percentage of those who love running and those who don't, the total percentage of the athletes who do not enjoy cycling is 24.5%.
What percentage doesn't like cycling?The percentage who don't enjoy cycling are:
= Percentage who enjoy running and but not cycling + Percentage who don't enjoy running or cycling
Solving gives:
= ((1 - 70%) x 45%) + ( (1 - 45%) x (1 - 80%))
= (30 % x 45%) + (55% x 20%)
= 24.5%
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2.7 and 5.9 find the distance
Answer:
The distance between both numbers is 3.2.
Step-by-step explanation:
How to find the answer is to:
1. Subtract the 9 and 7 to get 2.
2. Place your decimal point behind the 2 to make .2
3. Do 5 minus 2 to get 3.
Your answer is 3.2.
Please this awnser asap pls no equation just the awsner pls
Answer: 296 with a remainder of 1 (I'm guessing this by mental math, btw, why not just use a calculator, the calc is your best chance for a right answer anyway)
Edit: Used calc, was close lol, 296.5 is the exact answer
Step-by-step explanation:
P.S: Question, is that supposed to be divided or square rooted?
Anyway, I'll explain it since I can't leave it hanging:
2*2 = 4 so 5-4 = 1 and bring 9 down, after that 2*9 = 18, so it becomes 1, and then bring down 3 for 13, and 6*2 = 12, so 13-12 = 1, and that is 296 with a remainder of 1.
The length of a rectangle is four less than twice its width. If the perimeter of the rectangle is 76 units, what is its width?
a
13
b
14
c
20
d
26
e
28
Answer: the width of the rectangle is 14 units
Let's denote the length of the rectangle to be x and the width to be y.
The first sentence tells us that the length, x , is "4 less than twice the width". "4 less than" implies we subtract 4 from some quantity. x = 2y - 4.
In the question given that the perimeter of the rectangle is 76 units
Perimeter of a rectangle is 2( length + breadth )
According to the question :
76 = 2(x + y)
76 = 2(2y – 4 + y)
76 = 2(3y – 4 )
76 = 6y – 8
84 = 6y
y = 14 units
putting the value of in x = 2y – 4
x = 2(14) – 4
x = 24 units
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The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles.
Complete the sentence by typing numbers in the boxes.
The distance from earth to the sun is 387.5 times greater than the distance from the earth to the moon.
How many times greater is the distance from Earth to the Sun than Earth to the Moon?Given Data;
The distance from earth to the sun = 9.3 x 10⁷ miles
The distance from the earth to the moon = 2.4 x 10⁵ miles
The distance ES to EM
Then we need to divide the distance from earth to the sun by the distance from the earth to the moon
= 9.3 x 10⁷ miles / 2.4 x 10⁵ miles
= 387.5 times is greater.
Therefore, The distance from earth to the sun is 387.5 times greater than the distance from the earth to the moon.
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Find the equation of the line.
Use exact numbers.
y= x+
Answer:
y = 3/4x -2
Step-by-step explanation:
We first find the slope of the line using two points
(0,-2) and (8,4)
m = ( y2-y1)/(x2-x1)
m = ( 4---2)/(8 - 0)
= (4+2)/(8)
= 6/8
= 3/4
We can write the equation in slope-intercept form using
y = mx+b where m is the slope and b is the y-intercept
b is where it crosses the y axis. It crosses at -2
y = 3/4x -2
Find the volume of the solid whose base is the region bounded between the curve y=x^3 and the y-axis from y=0 to y=1 and whose cross section taken perpendicular to the y-axis are squares
The volume of the solid whose base is the region bounded between the curve y=x^3 and the y-axis from y=0 to y=1 and whose cross section taken perpendicular to the y-axis are squares is 2.4 cubic units.
for given question,
We need to find the volume of the solid whose base is the region bounded between the curve y = x³ and the y-axis from y = 0 to y = 1 and whose cross section taken perpendicular to the y-axis are squares.
Now we rewrite given curve y = x³ in terms of x.
[tex]x=\sqrt[3]{y}[/tex]
Since the length of the side of each cross sectional square is [tex]2\sqrt[3]{y}[/tex], the cross sectional area A(y) can be given by
A(y) = [tex](2\sqrt[3]{y})^2[/tex]
A(y) = [tex]4y^{\frac{2}{3} }[/tex]
The region is bounded from y = 0 to y = 1
so, the volume V can be found by,
[tex]V=\int\limits^1_04y^{\frac{2}{3} }~dy\\\\V=4\int\limits^1_0 y^{\frac{2}{3} }~dy\\\\V=4\times \frac{3}{5} \\\\V=\frac{12}{5}\\\\V=2.4[/tex]
Therefore, the volume of the solid whose base is the region bounded between the curve y=x^3 and the y-axis from y=0 to y=1 and whose cross section taken perpendicular to the y-axis are squares is 2.4 cubic units.
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The sales tax rate for South Salt Lake is 7.05%.
What is the state sales tax on a $21,900 car in South Salt Lake?
The state sales tax on a car of $ 21,900 in South Salt Lake will be $ 1543.95.
We are given that:
The rate of tax on sales for South Salt Lake is = 7.05 %
That is:
Sale tax rate = r = 7.05 %
Now, we are given that the selling price of a car = $ 21,900
Selling price = $ 21,900
Now we need to find the sales tax amount that will be imposed on the car.
For this, we will calculate the percentage.
Sales tax = 7.05 % of $ 21,900
Sales tax = 7.05 % × $ 21,900
Sales tax = 7.05 / 100 × $ 21,900
Sales tax = 7.05 × $ 219
Sales tax = $ 1543.95
Therefore, we get that the state sales tax on a car of $ 21,900 in South Salt Lake will be $ 1543.95.
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what are all the possible values of sin cos and tan
Answer: What are the values of sin, cos and tan?
Sin Cos Tan Chart
Angles (in degrees) 0° 60°
Sin θ 0 √3/2
Cos θ 1 1/2
Tan θ 0 √3
Cot θ ∞ 1/√3
Step-by-step explanation: hope this helps a little!!!!
Kindly solve these in copy and send pic !! Plis urgent
Answer:
log(m) - log(n) + 1/2 log(p)
log(m/n) + log(√p)
log[(m*√p)/n]
Is cutting a cake into 8 pieces a chemical or a physical change? explain your answer.
Cutting a cake into 8 pieces is a chemical change.
What is a physical and chemical change?In a physical change, the substance's shape or appearance changes, but the type of matter it contains stays the same. In contrast, when matter undergoes a chemical change, at least one new substance with novel features is created.Now,
When the cake is cut, the pieces cannot be joined again and form a cake.
Hence, Cutting a cake into 8 pieces is a chemical change.
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Statement: If two points are given, then exactly one line can be drawn through those two points. Which geometry term does the statement represent?
The geometry term represented by the statement "If two points are given, then exactly one line can be drawn through those two points." is "geometric postulate".
What are termed as the geometric postulate?Postulates are assertions that are believed to be correct in the absence of evidence.
Postulates serve two functions: they explain undefined terms and they serve as a foundation for proving those certain statements. The Postulates of Euclid: A line segment is defined by two points.A line segment can be enlarged along a line indefinitely.A postulate is a fundamental concept in geography that denotes a hypothesis that is believed to be correct in the given factor.In this sense, the main feature of the postulate is its widespread acceptance by the scientific community, that is, by the vast majority of scientists who are committed to its investigation.
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Sketch the graph using partial factoring.
y = 2x^2 - 6x + 5
(You don't need to draw it if you answer. Just show how to find the vertex and zeros.)
Answer:
(3/2,1/2)
Step-by-step explanation:
y=2x^2-6x+5
a=2
b=-16
substitute the coefficients into the expression
x= - -6/2x2
x=3/2
y=2x^2-6x+5, x=3/2
calculate the function value for x=3/2
y=1/2
(3/2,1/2)
HELP ASAP!!! WILL MARK BRAINLIEST!!!
Line A: y = 1/2x + 2
Line B: y = -1/2x + 7
Line C: y = 2x + 4
Line D: y = 1/2x + 5/4
Which lines are perpendicular?
A. B & C
B. A & D
C. A & B
D. A & C
Answer:
A
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 )
A y = [tex]\frac{1}{2}[/tex] x+ 2 ← has slope m = [tex]\frac{1}{2}[/tex]
B y = - [tex]\frac{1}{2}[/tex] x + 7 ← has slope m = - [tex]\frac{1}{2}[/tex]
C y = 2x + 4 ← has slope m = 2
D y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{4}[/tex] ← has slope m = [tex]\frac{1}{2}[/tex]
• Parallel lines have equal slopes
• the product of the slopes of perpendicular lines = - 1
- [tex]\frac{1}{2}[/tex] × 2 = - 1
then lines B and C are perpendicular
Describe
and correct the error in naming opposite rays in
the diagram (problem 26 only)
The error was the use of just a line on each name instead of a line with an arrow head pointing to the right. It should be: [tex]\overrightarrow{\rm YC}[/tex] and [tex]\overrightarrow{\rm YE}[/tex]are opposite rays.
How to Name Opposite Rays?To name two rays that are opposite each other, start the name of each of the rays with the letter of the endpoint that connects both rays together, then use the letter of the point where each of the rays extend to infinity.
The line on top both of the letters of the rays must have an arrow head, "→" that points to the right.
In problem 26, the letters used in naming the opposite rays were correct, but, the line on each letter that was used had no arrows pointing to the right. They are wrong.
The correct way of naming the opposite rays is: [tex]\overrightarrow{\rm YC}[/tex] and [tex]\overrightarrow{\rm YE}[/tex].
Therefore, we can conclude that, the error was the use of just a line on each name instead of a line with an arrow head pointing to the right. It should be: [tex]\overrightarrow{\rm YC}[/tex] and [tex]\overrightarrow{\rm YE}[/tex]are opposite rays.
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You are running a camp of 30 students, including johnand jane.3
What is the total possible ways you can arrange2 focus groupsof students one group being size 4 , and the othersize 6.?
The total possible ways of arranging 30 students in two groups of sizes 4 and 6 respectively are 6309453150, which is obtained by using the prerequisite knowledge of combinations.
What is the combination?
A combination is a mathematical procedure that deduces the number of feasible selections in a collection of articles in which the order of the selection does not matter. In combinations, you can choose any items in any order. Its formula is given by C(n,r) = n! / (n - r)! r!)
Calculation of the total possible ways of arranging two focus groups of students with sizes 4 and 6 respectively
Given a group of 30 students
Two focus groups are to be arranged in sizes 4 and 6 respectively
Total number of possible ways to arrange the two focus groups = C(30,4) × C(26,6)
Using the formula for combination, we get,
T.F.O = [30! / (26! 4!)] × [26! / (20! 6!)]
T.F.O = 27405 × 230230
= 6309453150
Hence, the required possible ways to arrange two groups are given by 6309453150.
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val runs 1 1/2 miles each day. She has run for 4 days. How far has she run altogether
Answer:
6 miles
Step-by-step explanation:
1 1/2 miles x 4 days= 6 miles over 4 days
did I do Question A right and I need help for (B)
the Math question is on the Image.
"The ratio of the number of male staff to the number of female staff is 2:3."
This means if [tex]x[/tex] is the number of male staff, and [tex]y[/tex] is the number of female staff, then these numbers occur in a fixed ratio such that
[tex]\dfrac xy = \dfrac23[/tex]
The sentence does not say anything about the actual number of staff members. There's no reason to believe that there are 50 people working.
What it does say is that 2/5 = 40% of the team is made of males and 3/5 = 60% is made of females.
(a) Of the males, 20% = 1/5 of them are under the age of 20. This means that 20% of 40% of the entire staff is made up of males under 20, or
2/5 × 1/5 = 2/25 = 8%
Of the females, 40% = 2/5 are under the age of 20. So 40% of 60% are females under 20, which comes out to
3/5 × 2/5 = 6/25 = 24%
Adding these up, we get a total of 8% + 24% = 32%.
(b) Yes, any change to the team would adjust this percentage.
Consider a smaller example of a team of 4, 1 each of male/female and under/over 20. 1/4 = 25% of this team is female and under 20. If we add one more under-20 female, the new ratio is 2/5 = 40%. If we add one more member to any other group, the new ratio is 1/5 = 20%.
What is the measure of angle F?
Answer: D because Angle D = Angle L
if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function
If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function is "false" statement.
What is matrix function?A matrix function can be defined in a variety of ways (or matrix-valued function). One manner is in which the function takes the shape of a matrix, rather than numbers, the matrix contains functions. A(t), for example, is a 2 x 2 matrix function.
Some key features regarding the matrix function are-
The function is designated only for t values that specify all 4 of the elements in the this example matrix.A matrix function can also be defined as a function which calculates a (generally square) matrix A; in other words, it is a process of mapping one matrix to another. Some researchers defined matrix functions just on complex plane ℂ. Higham (2008), for example, emphasizes the definition as involving a scalar function f and a matrix A ∈ ℂ∧(n x n).To know more about complex plane, here
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The complete question is-
If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function. (True/False)
A car dealership sells suvs and passenger cars. for a recent year,80 more subs were sold than passenger cars. if a total of 310 vehicles were sold, determine the number of each type of vehicle sold
The total number of SUVs sold = 195
and the total number of passenger cars were sold = 115
For given question,
Let x be the total number of SUVs and y be the total number of passenger cars sold.
For a recent year,80 more SUVs were sold than passenger cars.
So we get an equation,
x = y + 80 .............(1)
A total of 310 vehicles were sold.
So we get an equation,
x + y = 310 .............(2)
Substitute the value of x from (1) in an equation (2),
(y + 80) + y = 310
2y + 80 = 310
2y = 230
y = 115
This means, total 115 passenger cars were sold.
Substitute the above value of in equation (1),
x = 115 + 80
x = 195
This means, total 195 SUVs were sold.
Therefore, the total number of SUVs sold = 195
and the total number of passenger cars were sold = 115
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Identify the property of addition described as commutative, associative, or identity.
The sum of any number and zero is the original number.
When two numbers are added, the sum is the same regardless of the order of addends.When three or more numbers are added, the sum is the same regardless of how the addends
are grouped.
The sum of any number and zero is the original number: Identity property
When two numbers are added, the sum is the same regardless of the order of addends: Commutative property
When three or more numbers are added, the sum is the same regardless of how the addends are grouped: Associative property
What is the Commutative Property of Addition?A + B = B + A if A and B are any two whole numbers.
In other words, the sum of two whole numbers is true regardless of how the addends—or real numbers—are arranged.
Any order will work for adding the numbers. Even if the numbers are rearranged, the sum of the two numbers remains the same.
What is the Additive Identity of Addition?When an is a whole number, A + 0 equals 0 + A.
In other words, the number itself is equal to the sum of any whole number and zero. In other words, zero is the only whole number that when added to, does not alter the value (identity) of the original number.
The additive identity or identity element for the addition of whole numbers is the integer 0 (zero).
When zero is added to a number, the result is unchanged.
What is the Associative Property of Addition?If any three whole numbers are A, B, and C, then (A + B) + C = A + (B + C)
In other words, whole number addition is associative.
Any group or placement of the numbers has no effect on the sum when three or more are added.
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Which is the correct definition of perpendicular lines?
A. A part of a line that is bounded by two distinct endpoints.
B. A set of points that extends infinitely in two directions.
C. Two lines that intersect at a right angle.
D. Two lines that never cross.
(Note: the selected answer is the image is not guaranteed to be correct)
By definition of perpendicularity, plane, point and line, we find that two lines are perpendicular if they intersect at a right angle. (Correct choice: C)
When are two lines on a plane perpendicular?
According to Euclidean geometry, two pairs of opposite angles are created by generating two lines with different slopes on the same plane. Two lines with same slope never cross on the plane and are known as parallel lines.
Opposite angles have the same measure and the two lines are perpendicular to each other if and only if each pair of opposite angles are right angles. Right angles have a measure of 90° (π / 2 radians), then each of the four angles must have a measure of 90° (π / 2 radians).
In summary, two lines set on a plane are perpendicular to each other if they intersect at a right angle.
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The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer as a whole number or fraction in simplest form.
13
13
13/3
13/3
Answer:
Step-by-step explanation:
To find the scale factor, take the value of one side length from the scaled copy and divide it by the value of the corresponding side length of the original.
39/13 = 3
Therefore, the scale factor is 3.
a powdered drink calls for 3 scoops powder to 8 ounces of water. how much powder do you need if you have 32 ounces of water
Answer:
12
Step-by-step explanation:
This is a ratio problem where 3 is to 8 as x is to 32. Set up as fractions and solve:
3/8 = x/32 solve for x
A population of 10000 grows 3% annually. Write an equation that represents the growth of this population
Answer: How do you write a population growth equation?
The annual growth of a population may be shown by the equation: I = rN (K-N / K), where I = the annual increase for the population, r = the annual growth rate, N = the population size, and K = the carrying capacity.
Step-by-step explanation: hope this helps!!!
Answer:
Step-by-step explanation:
The annual growth of a population may be shown by the equation: I = rN (K-N / K), where I = the annual increase for the population, r = the annual growth rate, N = the population size, and K = the carrying capacity.
The number of blocks has 9 in the ones place the number in the hundreds place is one more than the numbers in the tens place those two numbers equal 11 how many blocks are there?
The total number of blocks is 659.
Given that there is 9 in one's place of the total number of blocks. It is also given that the number in the hundreds place is 1 more than the number in the tens place.
If we assume x as the number on hundreds place and y as the number on tens place, then according to the question:
x=y+1 ......(1)
Also, the sum of hundreds and tens place numbers is 11.
x+y=11 ......(2)
substitute the value of x from equation (1) in equation (2)
y+1+y=11
=>2y=10
=>y=5
Now substitute the value of y in equation (1);
x=5+1
x=6
Therefore, number on the hundreds place is 6 and on the tens place is 5 and the total number is 659.
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solve the inequality 5y+9≤4
Answer:
y≤-1
Step-by-step explanation:
Subtract 9 from both sides
4-9 = -5
Divide the remainding by 5
-5 / 5 = -1