The percent of the square shaded is 37.5 without including the % sign.
What percent of the square is shaded?The square is divided into 4 equal parts
1/4 of the square is fully shaded
The other 1/4 is shaded half
Hence,
When the square is divided into 8 equal parts, 3 parts are shaded
Percent of square shaded= Parts shaded/ Total parts × 100
= 3/8 × 100
= 0.375 × 100
= 37.5%
Ultimately, 37.5 is the percent of the square shaded.
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Chelsea is making a quilt and she has determined she needs 1472 square inches of burgundy fabric and 399 square inches of yellow. How many square yards of each material will she need? Round your answers up to the nearest quarter yard.
The burgundy fabric:
Incorrect square yards
The yellow fabric:
How many total yards of fabric will she have to buy?
square yards
The burgundy fabric:1.135 square yards
The yellow fabric: 0.307 square yards
The total yards of fabric will she have to buy 1.442 square yards.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Chelsea needs 1472 square inches of burgundy fabric and 399 square inches of yellow.
As, 1 yards= 36 inches
and, 1 square yards= 1296 inches
Then, 1472 square inches of burgundy fabric
= 1472/ 1296
= 1.135 square yards
and, 399 square inches of yellow.
= 399/ 1296
= 0.307 square yards
Thus, the total yards of fabric will she have to buy
= 1.135 + 0.307
= 1.442 square yards
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A wall is separated into two sections, A and B. The function A(x) = 4x − 1 represents the length of section A. The function B(x) = 8x − 3 represents the length of section B. What is the total length of the wall in terms of x?
1. (A + B)(x) = 12x2 − 20x − 4
2. (A + B)(x) = 32x2 − 20x + 3
3. (A + B)(x) = 32x + 4
4. (A + B)(x) = 12x − 4
Answer: 4 is correct
Step-by-step explanation:
A(x) + B(x) = (4x - 1) + (8x - 3)
= 12x - 4
someone ate 3 out of 5 bagels in the bag what percent of the bagels r left
Answer:
40%
Step-by-step explanation:
If someone ate 3 out of 5 bagels, then there are 5 - 3 = 2 bagels left.
To find the percentage of the bagels that are left, you need to divide the number of bagels left by the total number of bagels and multiply by 100.
So, the percentage of the bagels that are left is (2 / 5) * 100 = 40%.
For a moving object, the force on the object varies directly with the objects acceleration. When a force of 30 N acts on a certain object, the acceleration of the object is 10 m/s^2. If the force is changed to 9 N, what will be the acceleration of the object?
Answer: The force on an object is directly proportional to its acceleration, which means that if the force is increased, the acceleration will also increase, and if the force is decreased, the acceleration will decrease. This can be expressed mathematically as:
F = k * a
where F is the force, a is the acceleration, and k is a constant of proportionality.
We can use the given information to find the value of k:
30 N = k * 10 m/s^2
k = 3 N*s^2/m
Now we can use this value of k to find the acceleration when the force is 9 N:
9 N = 3 Ns^2/m * a
a = 3 Ns^2/m / 9 N
a = 1/3 m/s^2
Therefore, the acceleration of the object when the force is 9 N is 1/3 m/s^2.
On the first day of a trip, George traveled 295.6 kilometers. On the second day of the trip, George traveled twice as far as he did on the first day. How far did George travel all together during the two days of the trip?
Answer:
591.2 kilometers
Step-by-step explanation:
times 295.6 × 2 and you will get 591.2
Compare the volume and surface area of a sphere with a radius of 5 in. with that of a cube that has sides measuring 8.06 in.
1: The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
2: The volume of the sphere is approximately equal to the volume of the cube, but the cube has a greater surface area.
3:The volume of the cube is greater than the volume of the sphere, but the sphere has a greater surface area.
4:The sphere and the cube have approximately the same volume and surface area.
The correct statement is : The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.
Given here: A sphere with 5 in. radius and a cube with side measuring 8.06 in.
Volume of the sphere is
V=4/3πr³
=4/3·π·5³≈523.59878 in³
Surface area of the sphere is
A=4πr²
=4·π·5²≈314.15927 in²
Now volume of the cube
a³=8.06³
≈523.60662 in³
Surface area of the cube
A=6a²
=6×8.06²
≈389.7816 in²
Thus The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
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Put the equation in
slope-intercept form.
y - 4x = 17
y = 4x + [?]
Enter
Answer: To put the equation y - 4x = 17 in slope-intercept form, we need to isolate the y variable on one side of the equation and have the coefficient of x be the slope of the line and the constant term be the y-intercept.
Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.
Starting with the equation y - 4x = 17, we can isolate y by adding 4x to both sides:
y - 4x + 4x = 17 + 4x
y = 4x + 17
So, the equation in slope-intercept form is y = 4x + 17, where the slope (m) is 4 and the y-intercept (b) is 17.
Step-by-step explanation:
y-4x = 17
slope intercept= y= 4x + 17
Consider the series.
1000+200+40+8+8/5
Does the series converge or diverge?
Select answers from the drop-down menus to correctly complete the statements.
The Given Series 1000+200+40+8+8/5 is Convergent.
What is Convergent and divergent Series?If a series converges to a value as its terms approach to infinity, it is said to be convergent. If a series does not converge to a value but instead keeps on increasing or dropping as the terms of the series tend to infinity, it is said to be divergent.
Given:
The series is given as 1000+200+40+8+8/5
The common ratio is
200/1000
= 1/5
Then,40/200
= 1/5
= 0.2
Now, As the common ratio is < 1 so the series is convergent.
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Hi, its me again. Find angle AOB
Answer:
AOC=360-130 = 230
ABC= 230/2=115
Answer:
∠ABC = 115∘
Step-by-step explanation:
∠ABC = 1/2 ∠AOC
(Angle subtended by a chord on major area is half of that subtended on center)
∴ ∠ABC = 1/2 x 130 = 65
ABCD is a cyclic quadrilateral
Sum of opposite angles = 180∘
∴ ∠ABC + ∠AOC = 180∘
∠ABC + 65 = 180∘
∠ABC = 115∘
I can't remember what to do
The solution of the inequalities is (0.67, 3.33)
How to make the solution of the inequalitiesFrom the question, we have the following parameters that can be used in our computation:
y >= 2
x + y <= 4
y <= 2x + 2
Next, we plot the graph of the inequalities
Using the above as a guide, we have the following:
The solution is (0.67, 3.33)
This is so because the lines intersect at (0.67, 3.33) for y >= 2
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Suppose a is nn and the equation ax0 has only the trivial solution. Explain why a has n pivot columns and a is row equivalent to
The equation Ax = 0 has no free variables, so A has n pivot columns. Since A is square, the pivots must be on the main diagonal, so A is row equivalent to the n x n identity matrix Iₙ.
In order for the equation Ax = 0 to have only the trivial solution, there must be no free variables. This means that the matrix A must have n pivot columns. Since A is square, the n pivot positions must be in different rows, which means that the pivots must be on the main diagonal. This means that A is row equivalent to the n x n identity matrix Iₙ. To make it row equivalent, we can perform elementary row operations, such as adding or subtracting rows, or multiplying or dividing a row by a non-zero constant. Once we have done this, the matrix will be in echelon form and the main diagonal will be composed of all 1s. This means that A is row equivalent to Iₙ.
The complete question: Suppose A is nˣn and the equation Ax=0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to Iₙ
Choose the correct answer below.
A. Suppose A is nˣn and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nˣn identity matrix, Iₙ.
B. Suppose A is nˣn and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in A must be on the main diagonal. Hence A is the nˣn identity matrix, Iₙ.
C. Suppose A is nˣn and the equation Ax=0 has only the trivial solution. Then there are n free variables in this equation, thus A has n pivot columns. Since A is square and then pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nˣn identity matrix, Iₙ
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Jake is traveling 12 mph in his boat. After 3 hours. How far will he have traveled?.
Determine if the expression
−
�
3
10
+
7
�
−
10
c
3
+7c is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The given expression is polynomial and degree of the polynomial is 2.
What is polynomials?
Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.
the expression -10c° – c + 3c²
So the given expression is a polynomial,
The highest degree of the polynomial will be 2
Hence The given expression is polynomial and degree of the polynomial is 2.
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T
50 cm
√ 8 S
120 cm
100%
100% 21%
150 cm
100%
21%
21%
Calculate #2
x Each new rectangle is 21% longer than the original.
Complete the table with the length of each new
rectangle.
Original Rectangle Length
(cm)
120
50
150
Length After 21% Increase
(cm)
Original Rectangle Length (cm) | Length After 21% Increase (cm)
120 | 144
50 | 61
150 | 180
How did we get these values?Each new rectangle is 21% longer than the original, so to calculate the length after a 21% increase, we need to multiply the original length by 1 + 21%.
For the first rectangle (120 cm):
1.21 * 120 cm = 144.4 cm (rounded to 144 cm)
For the second rectangle (50 cm):
1.21 * 50 cm = 60.5 cm (rounded to 61 cm)
For the third rectangle (150 cm):
1.21 * 150 cm = 180.15 cm (rounded to 180 cm)
So the table with the length of each new rectangle would be:
Original Rectangle Length (cm) | Length After 21% Increase (cm)
120 | 144
50 | 61
150 | 180
The rounded values were used in this table.
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Identify the percent of change as an increase or a decrease.
5/4
to 3/8
The percent of change from 5/4 to 3/8 is a 70% decrease.
To find the percent of change, we need to determine the difference between the original amount and the new amount, and then divide that difference by the original amount and multiply by 100 to express the answer as a percentage.
Let's first convert both fractions to decimals:
5/4 = 1.25
3/8 = 0.375
Next, let's find the difference between the original amount (1.25) and the new amount (0.375):
1.25 - 0.375 = 0.875
Finally, let's divide the difference by the original amount and multiply by 100 to express the answer as a percentage:
(0.875 / 1.25) * 100 = 70
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in each part, determine the fundamental group up to isomorphism by showing it is homotopy equivalent to a space whose fundamental group is already known. which of the spaces are contractible?
If a map f:X→Y between connected CW complexes induces isomorphisms f∗:πn(X)→πn(Y) for all n, then f is a homotopy equivalence. In case f
is the inclusion of a subcomplex X↪Y , the conclusion is stronger: X is a deformation retract of Y.
A fairly generic notion called isomorphism can be found in many branches of mathematics. The word is derived from the Greek words morphosis, which means "to form" or "to shape," and iso, which means "equal." An isomorphism is a bijective morphism in formal terms. An isomorphism, as used informally, is a map that maintains sets and relationships between elements.
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Help me. Pls. Cuz. Am. Gonn. Die if I didn't solve this!!
Answer:
See the picture
Step-by-step explanation:
The 1 tells us where to start. This is our y-intercept. We start when x =0 and y =1. The y intercept is 1 (0,1). You see it in green.
From that point (0,1) you go up 1 and 2 to the right. This is the slope. You see it in pink.
Once you have the begin part in pink. You join it to the pink points and draw your line.
Overview
b)
Question Progress
a)
2
4
ܠ
5
6
7
Solve the equation.
8
10
Homework Progress
I think of a number, multiply it by three, and add four. I get twenty two
20/23 Marks
Using the statement above, form an equation.
Use the letter 'x' for the unknown number.
+
Answer:
Step-by-step explanation:
a) Just work backwards!
Instead of adding 4, subtract by 4
Instead of multiplying by 3, divide by 3
22 - 4 / 3 = x
b)
22 - 4 = 18
18 / 3 = 6
Therefore, x = 6
you can improve this result by measuring dictionaries together. if you want to know the thickness of 1 page with an uncertainty of only 7.0 x 10-7 in., what is the minimum number of (whole) dictionaries that you need to measure together?
The minimum number of (whole) dictionaries that you need to measure together is s ≤ 7.0 x 10⁻⁷
Measurement is the process of determining the size, amount, or degree of something, usually using an instrument or a tool.
To determine the thickness of one page in a dictionary, you can measure a number of dictionaries together and average the results.
To achieve an uncertainty of only 7.0 x 10-7 inches in your measurement of one page, you need to determine the minimum number of dictionaries that you need to measure together.
Let's assume that you have N dictionaries and the thickness of the i-th dictionary is xi. Then, the average thickness of one page is given by:
(x1 + x2 + x3 + ... + xN) / N = x
The uncertainty in the average thickness of one page is given by:
s = √(∑((xi - x_bar)²)/(N-1)) / √(N) = √(∑((xi - x_bar)²)/N²(N-1))
We want to find the minimum value of N such that the uncertainty in the average thickness, s, is less than or equal to 7.0 x 10⁻⁷ inches.
So, we have:
s <= 7.0 x 10⁻⁷
Complete Question:
1. You have a set of calipers that can measure the thicknesses of a few inches with an uncertainty of + 0.0050 inches. You measure the thickness of one Oxford American Dictionary (2096 pages) and get 2.51 in.
You can improve this result by measuring dictionaries together. If you want to know the thickness of 1 page with an uncertainty of only 7.0 x 10⁻⁷ in., what is the minimum number of (whole) dictionaries that you need to measure together?
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7.4 big ideas question
WILL GIVE BRAINILEST
Step-by-step explanation:
5 × -8a = -40a
5 × -9 = -45
-40a - 45 = 5(-8a - 9)
5 × -8a = -40a
5 × -9 = -45
-40a - 45 = 5(-8a - 9)
kevin and jerome are cleaning a pool together. kevin can clean the pool on his own in 4 hours and jerome can clean the pool on his own in 6 hours. how many hours will it take the two boys working together to clean the pool?
It would take the two boys working together 2.38 hours to clean the pool.
The formula for working out the time it would take two people to complete a job when working together is:
T(combined) = 1 / (1/T1 + 1/T2)
Where T1 is the time it takes one person to complete the job and T2 is the time it takes the other person to complete the job.
In this case, T1 is 4 hours for Kevin and T2 is 6 hours for Jerome.
To solve the equation:
T(combined) = 1 / (1/4 + 1/6)
T(combined) = 1 / (0.25 + 0.17)
T(combined) = 1 / 0.42
T(combined) = 2.38 hours
Therefore, it would take the two boys working together 2.38 hours to clean the pool.
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find missing side lengths, leave your answers as radicals in simplest form
HELPP W THESE PROBLEMS
Answer:
u have to put lenght ×weight =volume
Identify the graph of the system of linear inequalities.
x+y<1
5x + y > 4
The graph of the system has been attached below. The solution has been obtained by using linear inequality.
What is linear inequality?
If the equals relation were used in its place, a linear inequality would produce a linear equation.
We are given two inequalities as x+y < 1 and 5x + y > 4
For plotting the points, we need to find x and y
1. x+y < 1
So, let y be 0, then
⇒x < 1
This gives us the point as (1,0).
Now, let x=0, then
⇒y < 1
This gives us the point as (0,1).
From these two points, the graph for the inequality is drawn and represented by red line.
2. 5x + y > 4
So, let y be -1, then
⇒5x > 5
⇒x > 1
This gives us the point as (1,-1).
Now, let x=0, then
⇒y > 4
This gives us the point as (0,4).
From these two points, the graph for the inequality is drawn and represented by green line.
Hence, the graph of the system of linear inequalities is obtained.
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whats the expression (2x+3)(2x-4)
Answer:
[tex] {4x}^{2} - 2x - 12[/tex]
Step-by-step explanation:
To complete this problem, use FOIL. First, Outer, Inner, Last.
(2x + 3)(2x - 4)
First, multiply 2x by 2x.
[tex] {4x}^{2} [/tex]
Now, multiply the outer numbers, 2x and -4.
[tex] - 8x[/tex]
Third, multiply the inner numbers, 3 and 2x.
[tex]6x[/tex]
Lastly, multiply the last numbers, 3 and -4.
[tex] - 12[/tex]
Now, put it all together.
[tex] {4x}^{2} - 8x + 6x - 12[/tex]
The final step is to combine like, or similar terms.
The only ones that can be combined are -8x and 6x.
[tex] {4x}^{2} - 2x - 12[/tex]
Here are the ingredients needed to make 16 chocolate biscuits.
-chocolate biscuits
makes 16 chocolate biscuits
100g of butter
50g of caster suger
120g of flour
15g of cocoa
sabrina wants to make chocolate biscuits for 24 people
how much of each ingredients will she need?
200 students chose one language to study.
Each student chose one language from French or Spanish or German.
Of the 200 students,
90 are boys and the rest of the students are girls
70 chose Spanish
60 of the 104 students who chose French are boys
18 girls chose German.
Work out how many boys chose Spanish.
The number of boys chosen Spanish are 59.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
let Girls are G, Boys are B, Spanish choose S, French chosen F and German Chosen Ge.
Total = 200
Girls = 200 - 90 = 110
P(S) = 70 (B+ G)
P(F) = 60 (B)
P(B) + P(G) = 70
S + F = 92
So, 70- G + 44 - G = 92
114 - 2G = 92
-2G = -22
G = 11
So, number of Boys choose Spanish
= 70- 11
= 59
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help me on this question please
Answer:
62
Step-by-step explanation:
you have to work out the surface area of a cuboid by:
3×2=6
5×3=15
5×2=10
sum of all the areas is 31
then times it by 2 which is 62
you don t really have to pay attention to the net, apart from the 2cm because you don t want to use it twice in the calculation.
Use synthetic division and the remainder Theorem to find the indicated function value.
f(x) = 5x³-13x² + 4x-2: f(2)
To find f(2) using synthetic division, we set up the synthetic division table with the coefficients of the polynomial:
What is synthetic division?Synthetic division is a shorthand method of dividing a polynomial by a linear factor of the form (x - a), where a is a constant. The method is used to simplify the long division process and is particularly useful for finding the roots of a polynomial.The basic idea behind synthetic division is to use the coefficients of the polynomial and the constant a to create a condensed division table that eliminates the need for writing out all the intermediate steps of the division process.2 │ 5 -13 4 -2
│ 10 -6 -2
└───────────
5 -3 -2 0
The last entry in the bottom row of the table gives the remainder of the division, which is f(2). Therefore, we have:
f(2) = 5(2)³ - 13(2)² + 4(2) - 2 = 40 - 52 + 8 - 2 = -6
So, the value of the function f(x) = 5x³-13x² + 4x-2 at x = 2 is f(2) = -6.
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Lauren has a coin collection. She keeps 3 of the coins in her box, which is 4% of the collection. How many total coins are in her collection?
The total coins in Lauren's coin collection = 75
Let us assume that there are 'n' total coins in Lauren's coin collection.
She keeps 3 of the coins in her box, which is 4% of the collection.
This means that 4 percent of 'n' is equal to 3.
Using the percentage formula,
4 % of m = 3
m × (4/100) = 3
We solve above equation for m.
⇒ m × 4 = 3 × 100 ..........(multiply both the sides by 100)
⇒ m × 4 = 300
⇒ m = 300/4 ..........(divide both the sides by 4)
⇒ m = 75
Therefore, she has 75 coins in her collection.
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