Answer:
The unemployment rate would be 5.5%.
Step-by-step explanation:
It is given that,
The Canadian labor force as of 2019 was 32.7 million.
There were 30.9 million employed
We need to find the unemployment rate.
Unemployed = labor force - employed
= 32.7 - 30.9
= 1.8 million
[tex]\text{unemployment rate}=\dfrac{\text{unemployed}}{\text{labor force}}\times 100\\\\=\dfrac{1.8}{32.7}\times 100\\\\=5.5\%[/tex]
So, the unemployment rate would be 5.5%.
Triangle ABC is formed by the vertices A(1,2,-1), B(-3,-6,2)and C(3,-2,0).
If D is the midpoint of BC, the the length (distance) of AD.
write the midpoint
write the distance
Answer:
Point D: [tex](0,-4, 1 )[/tex]
d = √41
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Midpoint Formula [3D]: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}, \frac{z_1+z_2}{2} )[/tex]Distance Formula [3D]: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A(1, 2, -1)
Point B(-3, -6, 2)
Point C(3, -2, 0)
Step 2: Find Point D
Simply plug in your coordinates B and C into the midpoint formula to find midpoint
Substitute [MF]: [tex](\frac{-3+3}{2},\frac{-6-2}{2}, \frac{2+0}{2} )[/tex]Add/Subtract: [tex](\frac{0}{2},\frac{-8}{2}, \frac{2}{2} )[/tex]Divide: [tex](0,-4, 1 )[/tex]Step 3: Find distance d
Simply plug in the 2 coordinates A and D into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(0-1)^2+(-4-2)^2+(1+1)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-1)^2+(-6)^2+(2)^2}[/tex]Exponents: [tex]d = \sqrt{1+36+4}[/tex]Add: [tex]d = \sqrt{41}[/tex]help meeeeee please
I NEED IT EXTREMELY FAST!!!!
Fill in the blank with the correct response.
What is the scale factor?
Answer:
x = 11 | Scale factor = 2
Step-by-step explanation:
As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.
Hope this helps,
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Happy Holidays to everyone!
A rectangular ink pad is 10 centimeters wide and 7 centimeters tall. What is its area?
square centimeters
Answer:
70cm
Step-by-step explanation:
10 times 7 = 70
Mrs. Rogers sold 49 out of 78 crafts at the fair. What percent of her crafts did she sell? Please show work!
Answer:
62 32/39%
Step-by-step explanation:
[tex]\frac{49}{78}*\frac{100}{1}=\frac{4900}{78}=\frac{2450}{39}=62\frac{32}{39}%[/tex]%
The percentage of Mrs. Rogers crafts sold is 62.82%.
Given that, Mrs. Rogers sold 49 out of 78 crafts at the fair.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Percent of crafts sold =Number of crafts sold/Total number of crafts ×100
= 49/78 ×100
= 0.6282×100
= 62.82%
Therefor, the percentage of Mrs. Rogers crafts sold is 62.82%.
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Which line is perpendicular
to the line passing through
the points (-4, 2) and (4,--4)
Answer:
The line is 4/3x
Step-by-step explanation:
I graphed it
Solve this 40 pointsssss
Answer:
2
Step-by-step explanation:
Answer:
6 because the pattern on the 3 rows is remove 1 on each of the starting and end point of the pattern, therefore, 6 for the 4th row, 4 for the 5th row 2 for the last row
A player chooses one of the numbers 1 through 4. After the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered 1 through 4. If the number chosen appears on the bottom of exactly one die after it is rolled, then the player wins If the number chosen appears on the bottom of both of the dice, then the player wins If the number chosen does not appear on the bottom of either of the dice, the player loses What is the expected return to the player, in dollars, for one roll of the dice
Answer: [tex]=\frac{-1}{16}[/tex]
Step-by-step explanation:
given data:
number to be chosen from = 1,2,3,4.
Solution:
ways the number can show
[tex]2*3*1=6[/tex] ways for your number to appear once.
[tex]1*1=1[/tex] ways for your number to appear twice.
[tex]3*3=9[/tex] ways for your number not to appear at all
[tex]= \frac{6(1) + 1(2) - 9(1)}{16}[/tex]
[tex]= \frac{6+2-9}{16}[/tex]
[tex]=\frac{-1}{16}[/tex]
expected return of the player is [tex]=\frac{-1}{16}[/tex]
Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the right angle?
Answer:
∠ACB is a right angle
Graph:
Before Buddy the Elf goes crazy pushing all of the buttons on the elevator, only 4 buttons are lit up out of 79 floors. About what percent is this?
Can anyone help a girl out?
Answer:
5%
Step-by-step explanation:
DIvide 4 by 79
What is the y-intercept of the following equation? y= 2x - 3
Answer:
-3
Step-by-step explanation:
y= mx + b
b is the y intercept
Find the values of a and b so that the linear system has the given solution.
Given Solution: (2, 1)
Equation 1: ax - by'= 4
Equation 2: bx - ay = 10
Answer:
The values are a=6, b=8
Step-by-step explanation:
The following system of equations
ax - by = 4
bx - ay = 10
Has the solution x=2, y=1. Substituting:
2a - b = 4 [1]
2b - a = 10 [2]
Multiply [1] by 2:
4a - 2b = 8
Add with [2]:
3a = 18
a = 18/3 = 6
a = 6
From [1]:
2*6 - b = 4
b = 12 - 4
b = 8
The values are a=6, b=8
1. Simplify: (Combining Like Terms)
9n - 12 - 150 + 15 + 10n
A regular 12-gon has side length 8 inches. What is its area?
Answer:
RELATED
How to Solve a Hexagon
Updated October 23, 2018
By Chris Deziel
A polygon is any closed two-dimensional figure with 3 or more straight (not curved) sides, and a 12-sided polygon is known as a dodecagon. A regular dodecagon is one with equal sides and angles, and it's possible to derive a formula for calculating its area. An irregular dodecagon has sides of different lengths and different angles. A six-pointed star is an example. There's no easy way to calculate the area of an irregular 12-sided figure unless you happen to have it plotted on a graph and can read the coordinates of each of the vertices. If not, the best strategy is to divide the figure into regular shapes for which you can calculate the area.
Calculating the Area of a Regular 12-Sided Polygon
To calculate the area of a regular dodecagon, you have to find its center, and the best way to do that is to scribe a circle around it that just touches each of its vertices. The center of the circle is the center of the dodecagon, and the distance from the center of the figure to each of its vertices is simply the radius of the circle (r). Each of the 12 sides of the figure is the same length, so denote this by s.
You need one more measurement, and that's the length of a perpendicular line drawn from the midpoint of each side to the center of the 12-sided shape. This line is known as the apothem. Denote its length by m. It divides each section formed by the radius lines into two right-angled triangles. You don't know m, but you can find it using the Pythagorean theorem.
The 12 radius lines divide the circle you scribed around the dodecagon into 12 equal sections, so at the center of the figure, the angle each line makes with the one next to it is 30 degrees. Each of the 12 sections formed by the radius lines is made up of a pair of right-angled triangles with hypotenuse r and one angle of 15 degrees. The side adjacent to the angle is m, so you can find it using r and the sine of the angle.
Step-by-step explanation:
The area of the polygon is 344.18 square inches.
What is the area?The area is the amount of area occupied by an object's flat (2-D) surface or shape.
Given:
A regular 12-gon has a side length of 8 inches.
Apothem of the polygon,
a = {8/2(tan180/8)}
a = 8/2tan22.5
a = 7.17 inches.
The area of the polygon,
= 12 x 8 x 7.17 / 2
= 344.18 square inches.
Therefore, the area is 344.18 square inches.
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find the value of x
76degrees and 49degrees
Answer:
Step-by-step explanation:
Judging by the context, you are looking for the angle x of a triangle, where the other two angles are 76 and 49. The sum of a triangle's angles is always 180, so
76 + 49 + x = 180
125 + x = 180
x = 55
Which point is a solution to the linear inequality below:
y - 3x< 1
A (0,0)
B (0, 3)
C (-2, 1)
D (-10, 0)
Answer:
A (0,0)
Step-by-step explanation:
y - 3x < 1
0 - 3(0) < 1
0 < 1
6) Which expressions are equivalent? Choose ALL that apply.
28
74
1) 7 to the fourth power
) 4 to the seventh power
7.7.7.7
The expressions "7^4", "7 to the fourth power", and "7*7*7*7"are the expressions that are equivalent.
We are given five mathematical expressions.The first expression is "28".The second expression is "7^4", which is equal to 2401.The third expression is "7 to the fourth power", which is equal to 2401.The fourth expression is "4 to the seventh power" which is equal to 16384.The fifth expression is "7*7*7*7", which is equal to 2401.Compare the values of all the expressions above.We can conclude that the second, the third, and the fifth expressions are equivalent as they have equal values.To learn more about expressions, visit :
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Any help please I appreciate it thank you on 1 and 2 plzzzz!!!
Answer:
1. angle Y, angle XYZ, and angle ZYX
2. angle PQR, angle SQR, and angle PQS
Step-by-step explanation:
1. The 3 ways to name the given angle are:
✔️The use of an alphabet of the vertex: angle Y
✔️The use of the three alphabets can be named in two ways with the middle alphabet representing the vertex:
angle XYZ
angle ZYX
2. The three different angle in the diagram consist of two adjacent angles that share the same side: angle PQR and angle SQR,
and the bigger angle that sums up the two internal angles, which is angle PQS
Carla currently has $300 in her bank account. Each time she goes to the ATM,
she withdraws $20. Write an equation representing this situation:
Answer:
y = -20x + 300
Step-by-step explanation:
y is total amount of money left (because this is the answer we are trying to find.)
x is the amount of times she goes to the ATM (because this is our unknown variable.)
-20 multiplies by x because she loses $20 every time she goes to the ATM. The equation has + 300 because she already has $300 in her bank account.
For each problem, identify any important quantities. If it's a known quantity, write the
number and a short description of what it represents. If it's an unknown quantity, assign a variable to represent it and write a short description of what that variable represents.
Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each.
Answer:
We have the problem:
"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each."
In this situation we have two variables:
X = number of snacks for herself and her friends that she buys. Each one of these costs $3.50
Y = number of snacks for her dog that she buys. Each one of these costs $9.
The total cost, in this case, can be written as:
X*$3.50 + Y*$9
And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:
X*$3.50 + Y*$9 ≤ $35
Where we defined all the quantities in the inequality.
Heidi is purchasing a frozen yogurt dessert. She must select a flavor, a type of sauce, and a topping from options in
the table.
Frozen Yogurt Dessert Options
Sauce
Pineapple
Blueberry
Strawberry
Topping
Cherry
Rainbow Sprinkles
Chocolate Sprinkles
Nuts
Flavor
Vanilla
Chocolate
How many different combinations are possible?
Answer:
288 combinations.
Step-by-step explanation:
Simply multiply 2! by 3! and 4! which equals to 2 * 6 * 24 = 288 combinations.
Hope this helped!
Answer:
24
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Answer:
C) c = 5 ( 3.5b + 10 )
Step-by-step explanation:
This is because the shop will charge a flat rate of $10 per visit. Then it will charge $3.5 per bowl. Hence the equation; (3.5b + 10) is formed. Finally, if one goes there 5 times, they will have to multiply this equation by 5 to find the total cost. Henceforth, C) is the only correct answer.
Help me please guys I really need it
Answer:
You have a standard deck of 52 cards You have 4 jacks in the standard card Hence 4/52mjkjnkj nkbjhbjhbhjbjh?
Answer:
huh?
Step-by-step explanation:
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!
What is a control group?
:((((((((((((((((((((((((((((
What is a control group?
A group that changes the variable
The group that applies the variable
The group that tests the variable
A test group where the variable is not changed or applied
Answer:
A scientific control is an experiment or observation designed to minimize the effects of variables other than the independent variable. This increases the reliability of the results, often through a comparison between control measurements and the other measurements.
EASYYYYY!!! PLSSSS ANSWER
Answer:
hope this works
Step-by-step explanation:
c
please help ill give BRAINLIEST
Answer:
B and D
Step-by-step explanation:
Which equations are equivalent to −4(3d−2)−7minus, 4, left parenthesis, 3, d, minus, 2, right parenthesis, minus, 7 ?
A) −12d−15
B)12d−15
C)None of the above
Please help me !!!
Answer:
She/He is right it's C. Tysm!
The correct answer is:
A) −12d−15 (None of the options provided are equivalent to the given expression.)
How to determine the equivalentTo simplify the expression −4(3d−2)−7, we can apply the distributive property by multiplying -4 to each term inside the parentheses:
−4(3d−2)−7 = -4 * 3d + (-4) * (-2) - 7
This gives us:
-12d + 8 - 7
Combining like terms:
-12d + 1
So the expression is equivalent to -12d + 1.
Therefore, the correct answer is:
A) −12d−15 (None of the options provided are equivalent to the given expression.)
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Your payment is $375 per month for 36 months and you made a $2,500 a down payment
Answer:
$16,000?
Step-by-step explanation:
375 times 36 is 13500
Add 2500
and you have 1600
thats my guess
A map of two cities is plotted on a coordinate grid. One city is centered at (-60,40), while the other is at (40, 20). A rest station lies at the midpoint of a straight road joining the centers of each city. What is the location of the rest station? (1 point)
Answer:
( - 10, 30 )
Step-by-step explanation:
A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
Coordinates of midpoint are
( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
~~~~~~~~~~~~~~~~~~~
A( - 60, 40)
B(40, 20)
The location of the rest station is
( [tex]\frac{-60+40}{2}[/tex] , [tex]\frac{40+20}{2}[/tex] ) = ( - 10, 30 )
Answer:
(-10,30)
Step-by-step explanation:
i just took test
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