Answer:
Is this the full question?
The sum of vector is (-2.4148, -4.0499), magnitude is 4.7 and [tex]\theta[/tex] = 239 degree.
What is Vector?A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
Given:
Vector u = 3( cos 255, sin 255)
v = 2 (sin 215, cos 215)
So, u+ v
= (3 cos 255 + 2 cos 215, 3 sin 255 + 2 sin 215)
= (-2.4148, -4.0499)
and, Magnitude
| u +v | = √(-2.4148)² + (-4.0499)²
= 4.7
Then, tan [tex]\theta[/tex] = 4.0499/ 2.4148
So, [tex]\theta[/tex] = 239 degree
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The Smiths painted their house blue. The complete predicate of this sentence is _____.
Smiths
the Smiths
find K if 4 x square - 2 X square + kx + 5 leaves a remainder -10 when divided by 2x+1
Answer:
[tex]k = 31[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]
[tex]r = -10[/tex] --- remainder
[tex]d = 2x + 1[/tex] --- divisor
Required
Find k
We have:
[tex]d = 2x + 1[/tex] --- divisor
Equate to 0
[tex]2x + 1 = 0[/tex]
Solve for x
[tex]2x = -1[/tex]
[tex]x =-0.5[/tex]
This means that:
[tex]f(-0.5)=-10[/tex]
So, we have:
[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]
[tex]0.5 -0.5k + 5 =-10[/tex]
Collect like terms
[tex]-0.5k=-10-5-0.5[/tex]
[tex]-0.5k=-15.5[/tex]
Solve for k
[tex]k = -15.5/-0.5[/tex]
[tex]k = 31[/tex]
[tex]9\frac{x}{y} -10-\sqrt{x} 5[/tex]
Possible asks from the question?!
what number shoild come next 100,96,88,72
Answer - 40
----------
100 - 4
96 - 8
88 - 16
72 - 32
need it asap!!!!!!!!!!
Answer:
Step-by-step explanation:
perimeter=2(l+w)
26=2(2x-2+10-x)
26=2(x+8)
26/2=x+8
13=x+8
13-8=x
5=x
Answer:
x=5
Step-by-step explanation:
a=2x-2
b=10-x
Formula
2 x(a+b)=26
(2x-2)+(10-x)=26/2
2x-x-2+10=13
x+8=13
x=13-8
x=5
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What is the length of YZ?
Answer:
28.6 units
Step-by-step explanation:
44/36=35/YZ
44 YZ = 35*36
44 YZ = 1260
YZ = 28.6 units
Mr. Halsey leans a ladder against an 11.5 foot wall the bottom the of the ladder is 3.5 ft from the base of the wall as shown what is the approximate length of the ladder
Hence, the approximate length of the ladder is [tex]12ft[/tex].
What is the approximation value?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.
A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]
Hence, the approximate length of the ladder is [tex]12ft[/tex].
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Divide (2 3/5) divide sign 2/3
(1 4/5)
(2 9/10)
(1 11/15)
(3 9/10
Answer:
i guess use this https://www.calculatorsoup.com/calculators/math/fractions.php
Step-by-step explanation:
3/4 of Stella's garden is flowers. She grows 6 types of flowers spaced equally. What fraction of her garden is dedicated to each type of flower?
Answer: 1/8 of her garden
1/8 of her garden is dedicated to each type of flower.
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Given
part of stella's garden has flowers = 3/4
types of flowers = 6
fraction of her garden is dedicated to each type of flower = 3/4 / 6 = 3/4 *1/6 = 3/24 = 1/8.
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Ahmed has 31 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 535 cents, how many dimes and how many quarters does he have?
Answer:
19 dimes and 15 quarters.
Step-by-step explanation:
Lets substitute in the equation
565=10x+25(34-x)
565=10x+850-25x
15x=285
x=19
So...
34-19=15
Patrica buys a total of 5 party hats and 5 balloons for the children at a party. Each party hat costs $0.50. Patrica spends a total of $7.50 for the party hats and the balloons. Enter an equation that models the situation with b, the cost of 1 balloon.
Answer:
b=2.5-7.50
Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.
n manufacturing a product, 85% of the units that are produced are not defective. Of the products inspected, 10% of the good ones (i.e., not defective) are falsely seen as defective and not shipped whereas only 5% of the defective products end up approved and shipped. If a product is shipped, what is the probability that it is defective?
Answer:
0.0097 = 0.97% probability that it is defective
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Product is shipped.
Event B: It is defective.
Probability of the product being shipped:
100 - 10 = 90% of 85%(not defective).
5% of 100 - 85 = 15%(defective). So
[tex]P(A) = 0.9*0.85 + 0.05*0.15 = 0.7725[/tex]
Probability of being shipped and being defective:
5% of 15%. So
[tex]P(A \cap B) = 0.05*0.15 = 0.0075[/tex]
What is the probability that it is defective?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0075}{0.7725} = 0.0097[/tex]
0.0097 = 0.97% probability that it is defective
Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok
Answer:
Look at the image.
Step-by-step explanation:
The sales tax charged on a $40 dress was $3.20. What is the sales tax rate charged on the dress?
Answer:
It's 8%
Step-by-step explanation:
3.20 divided by 40 = 0.08
0.08 = 8% therefore $3.20 divided by $40.00 = 8% sales tax
what time is it from where y’all live ?
Answer:
1 Pm
Step-by-step explanation:
Answer:
3:18 Pm
Step-by-step explanation:
Nice picture of mute button
The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?
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Answer:
$5.54
Step-by-step explanation:
8.8% of $63 is ...
0.088×$63 = $5.544
The tax is rounded to the nearest cent, so you would pay $5.54 in tax.
Answer: 5.54
Step-by-step explanation: khan said it was correct
Click on three points that are solutions to y = 3x^2- 2x +3.
A. (-2, 19)
B. (0,0)
C. (1,2)
D. (1,4)
E. (2,5)
F. (2, 11)
determine the most appropriate hypothesis test to use for the following scenario: the august 2008 edition of academy of management journal featured an investigation of the performance and tiing of corporate acquisitions. the investigations discovered that in random sample of 2778 firms, 748 annouced one or more acquisitions during the year 2000. does the sample provide suffcient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 30%
Answer:
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
Step-by-step explanation:
Testing hypothesis about a population proportion when sample size is large.
If the sample size is large then the variable
z= p^-p / sqrt [pq/n]
is approximately standard normal.
Formulate the hypotheses as
H0 : p < 30% against the claim Ha: p ≥ 30%
Choose the significance level ∝= 0.05
the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater than or equal to basis.
Computing
Z= 748-(2778*0.3)/ √2778*30/100*70/100
z= 748-833.4/√583.38
z= -85.4/24.153
z=-3.5357
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
The p- value is 0.0002
Boris started to run on a treadmill after setting its timer for 92 minutes. The display says that he has finished 73% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.
Answer:
67 minutes
Step-by-step explanation:
Which vectors represent the reflection of the vector <3, -7> across the x-axis?
Discuss in detail how the nature of data influences selection of statistical technique(s) to organize, summarize, and present your data. Provide examples to support your argument.
Answer:
Step-by-step explanation:
Data could exists in several different forms which often dictates if the data can be used directly in its raw format or if it requires conversion to another format. The nature of data is often very robust. Some data may occur as numeric and have meaning in terms of addition and other statistical properties; however some are only dummy and are restricted to (0's and 1's). Similarly, some may be used to show rank or depth and as such have no meaning while trying to perform Mathematical calculation. Therefore, choosing statistical summaries for the data sivj as the. Mean, median and mode will depend on the input, binary data cannot be summarized using the median or mean except the use of a modal score. While the presentation of the data using graphs also rewired that the nature of the data be considered before selecting a suitable chart (linen, bar, dot, pie and so on).
For a parallelogram with a long side that is 4 times the length of its short side find the area if the height from the long side is 23 and the perimeter is 125.
a. 2,875
b. ~ 514.3
c. 1,150
d. 2,200
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Answer:
c. 1150 square units
Step-by-step explanation:
The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.
The area is the product of the long side and the height to the long side:
A = bh
A = (50 units)(23 units) = 1150 units²
__
Additional comment
This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.
If the height is measured from the short side, then the area is 287.5 square units.
The librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the Library of Congress is
Answer:
a. 880
Step-by-step explanation:
Options are "a. 880 b. 90 c. 790 d. None of these choices"
Interval estimate of between 790 and 970 books checked out per day.
Lower limit is 790, Upper limit is 970
Point estimate of μ(x) = [Upper limit + Lower limit} / 2
Point estimate of μ(x) = [970 + 790] / 2
Point estimate of μ(x) = 1760/2
Point estimate of μ(x) = 880
So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.
Which is the most reasonable measure for the capacity of a bathtub?
O 5 liters
O 159 liters
O 159 milliliters
O 1000 milliliters
Find the surface area of the rectangular prism (type the number
only)
2.6
4.2 ft
6.8 ft
HELP
Cole knows that r/s = t for integers r, s, and Based on what Cole knows which of the following equations is NOT true?
A. -r/-s =t
B. -r/s =-t
C. -r/-s =-t
D.r/-s =-t
c because -t=-r/-s equals -t=r/s
If the radius of the circle x² + y2 - 4x - 6y - k = 0 is
4 units, find the value of k.
Answer: 3
Step-by-step explanation:
Given
The equation of the circle is [tex]x^2+y^2-4x-6y-k=0[/tex]
Using completing the square method
[tex]\Rightarrow x^2+y^2-4x-6y+4-4+9-9-k=0\\\Rightarrow \left( x^2-4x+4\right)+\left( y^2-6y+9\right)-\left( k+4+9\right)=0\\\Rightarrow \left( x-2\right)^2+\left( y-3\right)^2=\left( k+13\right)[/tex]
on comparing with standard form, [tex]r^2=k+13[/tex]
Insert the value of r
[tex]\Rightarrow 4^2=k+13\\\Rightarrow k=16-13\\\Rightarrow k=3[/tex]
Which is less: an angle showing a turn 1/3 of a circle or an angle showing a turn through1/4 of a circle ?
Answer:
1/4 of a circle is less
Step-by-step explanation:
1/4=90°
1/3=120°
find the slope of the line going through the points (-3,0) and (-3,11)
Answer:
m = undefined
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-3, 0)
Point (-3, 11)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{11-0}{-3--3}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{11}{0}[/tex][Fraction] Simplify: m = undefined∴ We have a vertical line at x = -3.
Express y-4[y-3(y-2)] -5 in simplest form
Answer:
y^3 - 9y^2 + 26y - 29
Step-by-step explanation:
y - 4[y - 3(y - 2)] - 5
I'm going to separate it into parts
(y - 3)(y - 2)
y^2 - 5y + 6
(y - 4)(y^2 - 5y + 6)
y^3 - 5y^2 + 6y - 4y^2 + 20y - 24
y^3 - 9y^2 + 26y - 24
y^3 - 9y^2 + 26y - 24 - 5
y^3 - 9y^2 + 26y - 29