Answer:
Below in bold.
Step-by-step explanation:
Speed = √(5^2 + (-12)^2)
= √169
= 13,
Direction = arctan (5/-12)
= -22.61 degrees ( its in the 4th quadrant)
So we can write the direction as 90 + 22.61
= 112.61 degrees.
1.4
Arrange the number of voters in 2016 - election
per province in ascending order.
5
Calculate the percentage of votes in the 2016-election that went
to "Other" in the National Results, if the total number of voters was
26 660 276.
Answer:
that would be 57
Step-by-step explanation:
because im smart
Infusions (or intravenous drips) are used to deliver fluids and drugs to patients.
Nurses need to calculate the drip rate, D, in drops per minute for infusions.
They use the formula D =dv/60n where
d is the drop factor measured in drops per milliliter (mL)
v is the volume in mL of the infusion
n is the number of hours the infusion is required to run.
A nurse wants to double the time an infusion runs for.
Describe precisely how D changes if n is doubled but d and v do not change.
Answer:
D is halved
Step-by-step explanation:
Given :
D = -dv/60nIf n is doubled :
D' = -dv/60(2n)D' = -dv/120nD' = D/2When n is doubled, D (the drop factor) is half of its original value.
Subset of prime numbers 1 to 20
Answer:
Step-by-step explanation:
{2, 3, 5, 7, 11, 13, 17, 19}
Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function g increases at a faster average rate.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Let f(x) = abˣ + c
At x = 0, f(0) = -10. Then we have
a + c = -10
Then similarly, by satisfying the above table in f(x) will be
[tex]\rm f(x) = - \dfrac{33}{5} \left ( \dfrac{1}{11} \right )^x - \dfrac{17 }{5} \\\\f'(x ) > 0[/tex]
Then we can say f(x) is an increasing function.
[tex]\rm g(x) = - 18 \left ( \dfrac{1}{3} \right )^x +2 \\\\g'(x ) > 0[/tex]
Then we can say g(x) is an increasing function.
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Answer:
The correct answer would be option D- Both functions are increasing, but function g increases at a faster average rate.
Hope this helps and good luck!
Find the measures of all of the angles.
Answer:
a:
1. ABC = 60°
2. BCA = 90°
3. CAB = 30°
b:
XVR = WVS = 125°
RVS = 55°
RST = VSU = 110°
RSV = UST= 70°
TUS = 39°
Step-by-step explanation:
a:
According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :
90+5x+9x+6=180
14x=84
x=6
Then we have : ABC = 9(6)+6 =60
CBA = 5(6)=30
b :
Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.
- 16 + ( - 12 ) - ( - 40 )
Answer:
12
Step-by-step explanation:
Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go
Step-by-step explanation:
Solution ,
Firstly we need to understand that
( - ) × ( - ) = ( + )
( + ) × ( + ) = ( - )
( - ) × ( + ) = ( - )
( + ) × ( - ) = ( - )
Question:
- 16 + ( - 12 ) - ( - 40 )
here ( + ) × ( - ) = ( - )
= - 16 - 12 - ( - 40 )
here ( - ) × ( - ) = ( + )
= - 28 + 40
here the ( + ) has greater variable so....
= + 12
hence 12 is the answer....
* Given the following expressions:
I.
[tex] - \frac{5 }{8} + \frac{3}{5} [/tex]
||.
[tex] \frac{1}{2} + \sqrt{2} [/tex]
|||.
[tex]( \sqrt{5} ) \times ( \sqrt{5} )[/tex]
IV.
[tex]3 \times ( \sqrt{49} )[/tex]
Answer:
sorrry i forget you man ..... or bro .....
What time will it be after these minutes have passed? 10 minutes
Answer:
21 minutes
Step-by-step explanation:
hope it helps you
Baseballs are sold 8 to a box. The
league is planning on having 18
games. If they need 3 balls for
each game, how many boxes will
they have to buy?
Find the distance between the two points. Round to the nearest tenth if necessary.
(1,5), (5,2)
A. 2.6
B. 1
C. 5
Answer:
d =5
Step-by-step explanation:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
at (1,5), (5,2)
d= [tex]\sqrt{(5-1)^2 +(2-5)^2}[/tex]
[tex]d = \sqrt{16 + 9} \\d=\sqrt{25}\\ d =5[/tex]
Therefore 5 is the distance.
Answer:
C
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (5, 2 )
d = [tex]\sqrt{(5-1)^2+(2-5)^2}[/tex]
= [tex]\sqrt{4^2+(-3)^2}[/tex]
= [tex]\sqrt{16+9}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Please help me with my question!
When we add two negative numbers, the result will be negative.
When we add a negative and a positive number, the result can be positive, negative, or equal to zero.
Take the absolute values of both numbers (disregard their signs). If the number that was positive is greater, then the result will be positive.If the number that was negative is greater, then the result will be negative.If the two numbers are equal, then the result will be 0.When we add two positive numbers, the result will be positive.
Solving the Questionj + k
These are both negative numbers. We know this because they are both to the left of 0. When we add two negative numbers, we will get a result that is less than 0.
Less than 0k + n
k is a negative number while n is a positive number.
Notice that on the number line, k and n appear to be at a equal distance away from 0. This means that if we were to take their absolute values, they would be equal.
This means that adding k and n would result in an answer of 0.
Equal to 0m + n
m is a negative number while n is a positive number.
Notice that on the number line, n appears to be further away from 0 than m is. m is very close to 0.
This means that the absolute value of n would be greater than that of m. The result would therefore be positive
Greater than 0k + m
Both these numbers are negative. Adding them would produce a negative result.
Less than 0In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines? A) transversal B) perpendicular C) normal D) bisector
Answer:
A) transversal
Step-by-step explanation:
The vocabulary term you're looking for is "transversal."
A transversal crosses parallel lines (or ones that are nearly parallel in the vicinity of the transversal).
: Find the midpoint of the segment with the following endpoints.
(5,-5) and (2,8)
Answer:
(3.5; 1.5).
Step-by-step explanation:
1) formula for midpoint:
[tex]x=\frac{X_A-X_B}{2}; \ y=\frac{Y_A-Y_B}{2};[/tex]
2) according to the formula above the required midpoint is:
x=0.5(5+2)=3.5; y=0.5(8-5)=1.5
Find the area of the right triangle.
Answer:
Step-by-step explanation:
Comment
The area of a right triangle is the product of the two smaller legs divided by 2.
Givens
Horizontal Leg = 4 units.
Vertical Leg = 8 units
Note. you count units by calling the right angle 0,0. As you move to the next square, count 1 then 2 then 3 ...
Solution
Area = 4 * 8 / 2
Area = 32 / 2
Area = 16
Answer
Area = 16
You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.
H
o
:
μ
=
57.7
H
a
:
μ
≠
57.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
286
with mean
M
=
59.6
and a standard deviation of
S
D
=
7.7
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = 4.17.The p-value is of 0.0004.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 57.7, that is:
[tex]H_0: \mu = 57.7[/tex]
At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:
[tex]H_a: \mu \neq 57.7[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]
t = 4.17.
What is the p-value?We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.
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Complete the long division problem on your own sheet of paper. Then, fill in the digits.
Answer:
52
Step-by-step explanation:
5 goes in the top left under the 4 & 1 is 40 bring the 1 down drop the 6 next to the 1 write 16 under the 16 and you get 2 and at the very bottom write 0
Multiple Choice Question 5 of 14 Is the quadrilateral a parallelogram, rectangle, rhombus, or square? Select all that apply.
A) square 5
B) rhombus
C) parallelogram
D) not enough info or none of these
E) rectangle
Answer: B, C
Step-by-step explanation:
All four sides are congruent, so it is both a rhombus and a parallelogram.
It is not a rectangle because we do not know if two of the sides are perpendicular. From this, we also cannot tell if it is a square.
which equation represents a line that passed through (2,-1:2) and has a sloe of 3
The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18
How to determine the equation of the line?The points are given as:
(x1, y1) = (2, -12)
The slope is given as:
m = 3
The equation of the line is calculated using:
y = m(x - x1) + y1
So, we have:
y = 3(x - 2) - 12
Open the bracket
y = 3x - 6 - 12
Evaluate
y = 3x - 18
Hence, the equation of the line is y = 3x - 18
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Find the roots of the quadratic equation x^2 + 7x + 10 = 0 by using the quadratic formula
Answer:
x = -2, -5
Step-by-step explanation:
x^2 + 7x + 10 = 0
The factors of 10 are as follows:
1, 10
2, 5
We can combine 2 and 5 to make 7
(x +2) (x + 5) = 0
One of these brackets must equal 0 to make the answer 0, as you are multiplying them together
If x + 2 = 0, x = -2
If x + 5 = 0, x = -5
Therefore, x = -2, -5
Hey there!
Answer :x = -5 or x = -2 ✅Explanation :QUADRATIC EQUATION:
ax² + bx + c = 0 where a ≠ 0
The sign of the discrimant (b² - 4ac) determines the number of real-number solutions :
If the discrimant is positive, the equation has two real-number solutions.If the discrimant is equal to zero, the equation has one real-number solution.If the discriminant is negative, the equation has no real-number solution.The solutions of the equation, also called roots, can be obtained with the QUADRATIC FORMULA :
[tex]x = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
---------------------------------------------------------------
▪️ x² + 7x + 10 = 0
(1) Substitute the letters in the general quadratic equation with their values in the given expression:
a = 1b = 7 c = 10(2) Determine the sign of the discriminant:
[tex]{b}^{2} - 4ac \\ \\ \Longrightarrow {7}^{2} - 4(1)(10) \\ \\ \Longrightarrow 49 - 40 \: \: \: \: \: \: \: \: \: \\ \\ \Longrightarrow \red{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
The discrimant is positive ; the equation has two real-number solutions.
(3) Determine the roots of the equation :
a)[tex]x_1 = \frac{ - b \: - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_1 = \frac{ - 7 - \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = \frac{ - 7 - 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{10}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \green{ \boxed{ \red{x_1 = - 5}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
(b)[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 7 + \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_2 = \frac{ - 7 + 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{4}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \red{ \boxed{ \green{x_2 = - 2}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Therefore, x = -5 or x = -2
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A bag contains 5 red marbles, 10 white marbles, and 9 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red?
Answer:
5/24
Step-by-step explanation:
Number of red marbles = 5Number of white marbles = 10Number of blue marbles = 9Total number of marbles = 24P(getting red marbles) = (Number of red marbles)/(Total number of marbles)P(getting red marbles) = 5/24x^2 +8 x+ y^2-12 y =14 what is the center and radius
Answer:
Step-by-step explanation:
Help pretty please?.?.?? Prize is 20 points :)
Answer:
7
Step-by-step explanation:
Because 2x-4 equals -8
(Score for Question 2: ___ of 10 points)
2. A room is shaped like a trapezoid as shown.
(a) What is the area of the room? Use the formula . Show your work.
(b) Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
(c) Furniture covers 25% of the floor. How many square feet of carpet are covered by furniture? Show your work.
(PLEASE SHOW THE WORK ON HOW TO DO IT FOR EACH ONE)
Answer:
The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
What is the area of trapezoid?The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.
[tex]A=\dfrac{(a+b)h}{2}[/tex]
Here, (a and b) are the base sides of the trapezoid and (h) is the height.
A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,
[tex]A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2[/tex]
Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,
C=812×$8.30
C=$6739.6
Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,
[tex]A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2[/tex]
Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
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Answer:
31 degrees
Step-by-step explanation:
90-59
=31
~rere
Answer:
<b = 31 °
Step-by-step explanation:
When the sum of two angles is equal to 90 degrees, they are called complementary angles
So . .
Because the sum is 90 subtract!
90 - 59 = 31<b = 31 °
cot Ф = 2
please please please help
Answer:
Radians:Ф=0.46364... +π n
Degrees:Ф= 26.56505 + 180° n.
Step-by-step explanation:
Apply trig inverse properties
Ф= arccot(2) +π n
Ф=0.46364... +π n
Radians:Ф=0.46364... +π n
Degrees:Ф= 26.56505 + 180° n.
The table shown below gives the estimated number of text messages sent in the U.S. by year.
Approximately how many times as many text messages were sent in the U.S. in 2011 as in 2005?
Year Text messages sent in the U.S.
2005 118,000,000,000
2007 577,000,000,000
2009 1,198,000,000,000
2011 2,357,000,000,000
Choose 1 answer:
A.) 2*10^1
B.) 4*10^1
C.) 2*10^3
D.) 4*10^3
Answer:
A)
Step-by-step explanation:
2005: 118000000000
2011: 2357000000000
Option A) = 20
118000000000 * 20 = 2360000000000
2360000000000 is approximately close to 2357000000000
Urgent help,
Translate the following words into equations step 2 solve the equation.
8 more than a number is equal to 15
The product of 7 and a number is 35
Answer:
x+8=15
-8. -8
x=7
7x=35
7. 7
x=5
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 1012 inches by 1012 inches. Is he correct? Use the drop-down menus to explain your answer.
Stephan
Choose...
have enough wood to make the tray because he has
Choose...
square inches, which is
Choose...
than he needs to make the tray,
Choose...
square inches.
Answer:
i. No, Maurice statement is wrong
ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.
Step-by-step explanation:
Stephan's piece of wood measures; 18 inches in length and 12 inches in width. Since the piece of wood has a shape of a rectangle,the area of the piece of wood = length × width = 18 × 12 = 216 square inchesAccording to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches. The base has the shape of a square, so that; the area of the base = length × width = = 1012 ×1012 = 1024144 squared inchesThis shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.
2/5 of every person that attended the Oakland Athletics ball game received an A's ball cap.
If 23,400 people attended the game, how many received an A's ball cap?
Answer:
9360
Step-by-step explanation:
2/5 is 40%
40% of 23400 is 9360
what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 Round to the nearest place