Answer:
To find the change in the unemployment rate, we need to calculate the ratio of the decrease in the number of unemployed workers to the total number of workers in the country. If the number of unemployed workers decreased from 5.3 million to 3.9 million, then the decrease is 5.3 million - 3.9 million = 1.4 million.
The total number of workers in the country is equal to the population minus the number of unemployed workers, or 75 million - 5.3 million = 69.7 million.
So, the change in the unemployment rate is (1.4 million / 69.7 million) * 100% = 2.0%.
Therefore, the answer is:
D. It increased by about 2%.
The solution is: D. It increased by about 2%.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
To find the change in the unemployment rate, we need to calculate the ratio of the decrease in the number of unemployed workers to the total number of workers in the country.
If the number of unemployed workers decreased from 5.3 million to 3.9 million,
then the decrease is 5.3 million - 3.9 million = 1.4 million.
The total number of workers in the country is equal to the population minus the number of unemployed workers, or 75 million - 5.3 million = 69.7 million.
So, the change in the unemployment rate is (1.4 million / 69.7 million) * 100% = 2.0%.
Therefore, the answer is:
D. It increased by about 2%.
To learn more on subtraction click:
brainly.com/question/2346316
#SPJ5
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.
learn more about length of a rectangle: https://brainly.com/question/25292087
#SPJ1
determine the equation of the line that passes through the point (-9, -30) and is parallel to the line y=4x+1
Answer: This is the answer
Step-by-step explanation:
Can someone please help me with this question. If you do, you’ll be rewarded with brainliest and extra points!
Answer:
EG/HJ=GF/JI or EG/HJ=FE/IH
Step-by-step explanation:
Given
AngleF=AngleI
AngleE=AngleH
Therefore triangles EGF AND HJI are similar by Angle-Angle Similarity Theorem
So
EG/HJ=GF/JI=FE/IH as they are the corresponding sides of a similar triangle
A rocket is launched in the air. Its height in feet is given by h(t)= -16t^2+88t where t represents the time in seconds after launch. How long is the rocket in the air?
Answer: ___ seconds
For the given height function h(t)= -16t²+88t the rocket is in the air for 5.5 seconds.
Height of the launched rocket is equal to :
h(t)= -16t²+88t
Time is represented by 't' in seconds after launch
'h' represents the height of the rocket.
For how long time rocket is in the air :
h(t) = 0
⇒ -16t²+88t = 0
⇒ t ( -16t+88 ) = 0
⇒ t = 0 or ( -16t+88 ) = 0
value of time 't' cannot be equal to zero.
This implies ( -16t+88 ) = 0
⇒16t = 88
⇒ t = 88 / 16
⇒ t = 5.5 seconds
Therefore, the time for which rocket is in the air as per given height function is equal to 5.5 seconds.
Learn more about height here
brainly.com/question/10726356
#SPJ4
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.
Learn more about isomorphism :
brainly.com/question/21265809
#SPJ4
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
Learn more about Unit Conversion here:
https://brainly.com/question/19420601
#SPJ1
What is the measure of angle X?
Enter your answer as a decimal in the box. Round only your answer to the nearest hundredth.
m∠X= °
Using a trigonometric relation we will see that the value of x is 81.2°
What is the measure of angle X?We can see that we have a right triangle, and the angle x is the one that is on the top vertex.
We can use any trigonometric relation to find the value of x, for example we can use:
sin(x) = (opposite cathetus)/(hypotenuse)
Where we can see that:
opposite cathetus = 84
hypotenuse = 85
Then we will get:
sin(x) = 84/85
x = Asin(84/85) = 81.2°
Learn more about right triangles at:
https://brainly.com/question/2217700
#SPJ1
Gary takes a suitcase and backpack on an airplane. The suitcase weighs 4 times as much as the backpack. The suitcase and the backpack together weigh 40 lb. HURRY!!! PLS :( Thank You, too!
PLS ASAP!! WILL GIVE BRAINLEST
The sides and angle of the right triangle are as follows:
b = 57.2 unitsc = 57.4 unitsB = 85 degreesHow to find the side and angles of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of the triangle can be found using trigonometric ratios as follows:
Hence,
tan 5 = opposite / adjacent
tan 5 = 5 / b
b = 5 / tan 5
b = 57.1506949525
Hence,
b = 57.2 units
sin 5 = opposite / hypotenuse
sin 5 = 5 / c
c = 5 / sin 5
c = 57.3685943662
c = 57.4 units
B = 180 - 90 - 5
B = 85 degrees
learn more on triangle here: https://brainly.com/question/17307037
#SPJ1
.Which is not a method by which minerals form
The option that is not a way by which minerals are being formed is decrystallization. That is option B
What are ways by which minerals are formed?Minerals are organic substances that are form through the following ways;
volcanic gases, sediment formation, oxidation, crystallization from magma, or deposition from a saline fluid,Decrystallization is not a way through which minerals are formed because it is just the break down of solid or crystal structures.
Learn more about minerals here:
https://brainly.com/question/27737827
#SPJ1
Complete question:
Which of the following is not a method by which minerals form?. a. crystallization. b. decrystallization. c. water evaporation from a solution. d. cooling of magma or lava
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.
Learn more about Convergent and Divergent Series here:
https://brainly.com/question/30439621
#SPJ1
The bottom of a circular swimming pool with a radius of 30ft, was painted blue. How many square feet of the pool was painted blue?
Answer:
2826 sqft
Step-by-step explanation:
π r² = 900π =2826
An online clothing company sells custom sweatshirts. The company charges $6.50 for each sweatshirt and a flat fee of $3.99 for shipping. describe how the linear function would change if the shipping charge applied to each sweatshirt.
The description is that a unit increment in the number of sweatshirt will cause a $6.50 increment in the total charges
How to describe how the linear function would changeFrom the question, we have the following parameters that can be used in our computation:
The company charges $6.50 for each sweatshirt Flat fee of $3.99 for shippingUsing the above as a guide, we have the following:
Slope = 6.50
This means that a unit increment in the number of sweatshirt will cause a $6.50 increment in the total charges
Read more about linear function at
https://brainly.com/question/15602982
#SPJ1
Question's attached below.
Thanks! :)
Answer:
$ 4564.32
Step-by-step explanation:
APR=2%, monthly interest rate, i=2%/12=0.02/12
Monthly payment, A=250
After 18 monnth, n=18 months,
the balance. Pis therefore
P = A((1+i)^n-1)/i
=250((1+0.02/12)^18-1)/(0.02/12)
=$ 4564.32
Find the circumference of a circle with the diameter of 3 yd
Answer:
Step-by-step explanation:
Circumference = 2piR or piD
pi(3) = 9.42
suppose is an matrix that can be obtained from using the row operations (in the given order) what is ?
we add row 1 to row 3 to get the final matrix = [3, 0, 3; 1, 1, 1; 0, 0, 0]. Thus, the new matrix is obtained by applying the given row operations in the given order.
Let A be a given matrix.
Row Operation 1: Exchange row 1 and row 2.
Row Operation 2: Multiply row 1 by 3.
Row Operation 3: Add row 1 to row 3.
Then,
= [ 3, 0, 3; 1, 1, 1; 0, 0, 0 ]
We can obtain the matrix by applying the row operations in the given order. First, we exchange row 1 and row 2 to obtain the matrix [1, 1, 1; 3, 0, 3; 0, 0, 0]. Then we multiply row 1 by 3 to get [3, 0, 3; 1, 1, 1; 0, 0, 0]. Finally, we add row 1 to row 3 to get the final matrix = [3, 0, 3; 1, 1, 1; 0, 0, 0]. Thus, the new matrix is obtained by applying the given row operations in the given order.
The complete question is :
Suppose [tex]$\begin{bmatrix}4 & -2 & 3 \\2 & 3 & 1 \\5 & 1 & -2\end{bmatrix}$[/tex] is an matrix that can be obtained from [tex]$\begin{bmatrix}1 & 2 & 3 \\3 & 2 & 1 \\2 & 5 & -2\end{bmatrix}$[/tex]using the row operations (in the given order) [tex]$R_1 \leftrightarrow R_2, R_2 - 3R_1, R_3 - 5R_1$[/tex]
What is [tex]$\begin{bmatrix}1 & 2 & 3 \\3 & 2 & 1 \\2 & 5 & -2\end{bmatrix}$[/tex]?
Learn more about matrix here
https://brainly.com/question/28180105
#SPJ4
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.
Learn more about an percentage here:
https://brainly.com/question/16797504
#SPJ4
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]
if x,y,z are different and =mod x x^2 1+x^3
y y^2 1+y^3 = 0 then show than 1+xyz=0
z z^2 1+z^3
Given that x, y, z are different and satisfy the equations:
x^3 + x^2 - x = 0
y^3 + y^2 - y = 0
z^3 + z^2 - z = 0
We can multiply the first equation by y, the second by z, and the third by x to obtain:
x^3y + x^2y - xy = 0
y^3z + y^2z - yz = 0
z^3x + z^2x - zx = 0
Adding these three equations together, we get:
x^3y + x^2y - xy + y^3z + y^2z - yz + z^3x + z^2x - zx = 0
Expanding and simplifying, we find that:
x^2y + xy^2 + y^2z + yz^2 + z^2x + zx^2 - xy - yz - zx = 0
Now, we use the fact that x, y, and z are roots of the equations given above to simplify the expression further:
x^2 - x + y^2 - y + z^2 - z = 0
We can also write this as:
(x - 1)(x + 1) + (y - 1)(y + 1) + (z - 1)(z + 1) = 0
This expression can be factorized as:
(x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = 0
Since x, y, and z are all different, we have that:
(x - 1)(x + 1) ≠ 0
(y - 1)(y + 1) ≠ 0
(z - 1)(z + 1) ≠ 0
Therefore, we have:
(x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = (x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = 0
So, we can conclude that:
xyz = -1
And,
1 + xyz = 0
Learn more about Equation here brainly.com/question/1566730
#SPJ4
find the value of x , please show how you did it
The value of x in the figure is 15 degrees
How to find the value of xThe value of x in the figure is solved using the concept of sum of exterior angles in a polygon
The sum of exterior angles in a polygon is 360
7x + 83 + 33 + 6x + 49 = 360
collecting like terms
7x + 6x = 360 - 83 - 33 - 49
13x = 195
isolating x
x = 15 degrees
Learn more about polygons at:
https://brainly.com/question/26583264
#SPJ1
A farmer takes 250 chickens to be sold at a market. In the first hour he sells 8% of his chickens. In the second hour he sells 10% of those that were left. What percentage of the original number did he manage to sell in the two hours?
Answer:
17.2%
Step-by-step explanation:
In the first hour:
The farmer sells 8% of the total chickens:
[tex]= \frac{8}{100}[/tex]×[tex]250[/tex]
= 20 chickens
Therefore, the number of chickens left are:
= (250 - 20) chickens
= 230 chickens
In the second hour:
The farmer sells 10% of the chickens left:
= [tex]\frac{10}{100}[/tex]×[tex]230[/tex]
= 23 chicken
∴ The total number of chickens sold in the two hours = (20 + 23) chickens
= 43 chickens
43 has to be expressed as a percentage of the original number (i.e. 250)
Percentage = [tex]\frac{Number Of Chickens Sold}{Total Number Of Chickens}[/tex]×[tex]100[/tex]%
= [tex]\frac{43}{250}[/tex]×[tex]100[/tex]%
= 17.2%
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.
Learn more about linear inequality from the given link
https://brainly.com/question/11897796
#SPJ1
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.
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
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
Learn more about equation here
https://brainly.com/question/2228446
#SPJ4
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
Learn more about Equation here:
https://brainly.com/question/29657988
#SPJ2
Match the square root expression with it's correct simplified radical.
The square root expression with it's correct simplified radical can be matched as follow:
√45 = 3√5
√200 = 10√2
√80 = 4√5
√24 = 2√6
How to match the square root expression with it's correct simplified radical?
A simplified radical is a radical expression in which the radicand (the expression inside the square root symbol) has been simplified as much as possible. For example, the simplified form of √8 is 2√2.
√45 = √(9*5) = √9 * √5 = 3 * √5 = 3√5
√200 = √(100*2) = √100 * √2 = 10 * √2 = 10√2
√80 = √(16*5) = √16 * √5 = 4 * √5 = 4√5
√24 = √(4*6) = √4 * √6 = 2 * √6 = 2√6
Thus, match the square root expression with it's correct simplified radical accordingly.
Learn more about radical on:
https://brainly.com/question/19569383
#SPJ1
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%.
1/5 divided by 3/5 it wont say the answer
Answer:Exact Form:
1/3
Decimal Form:
0.33333333333
Step-by-step explanation:
Answer:
1/3 or 0.333333333333333333333333333333333333
Step-by-step explanation:
1/5 / 3/5
Dividing can be done by multiplying the number by its reciprocal (flipped).
So, 3/5 has a reciprocal of 5/3
1/5*5/3 = 5/15
5/15 = 1/3 or 0.33333(repeated forever)
Polygon ABCD is drawn with vertices at A(1, 5), B(1, 0), C(−1, −1), D(−4, 2). Determine the image vertices of D′ if the preimage is rotated 90° counterclockwise.
D′(−2, −4)
D′(−2, 4)
D′(2, 4)
D′(4, −2)
The image vertices of D′ if the preimage is rotated 90° counterclockwise is: A. D′(−2, −4).
What is a rotation?In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise to the vertices for D, the coordinates of the vertices of the image point D' are as follows:
(x, y) → (-y, x)
Ordered pair D = (-4, 2) → Ordered pair D' = (-2, -4)
Read more on vertices here: brainly.com/question/24600877
#SPJ1