Answer:
(b) 7.28 cis(105.945°)
Step-by-step explanation:
The trig form of a vector is always ...
magnitude(cos(angle)·i +sin(angle)·j)
Sometimes, that is abbreviated ...
magnitude cis(angle) or magnitude∠angle
where the "angle" is measured counterclockwise from the +x axis.
__
The forms showin in choices C and D can be rejected immediately because the sine and cosine coefficients are incorrectly placed. To differentiate between choices A and B, you need to know whether the angle is greater than 90°. The terminal point is above and left of the initial point, so the angle must be more than 90°. (It can help to plot the points on a graph.)
u = 7.28(cos 105.945°i + sin 105.945°j)
5 kids found $4. How much will each kid get if they share equally?
Answer:
$0.80
Step-by-step explanation:
We have to divide 4 by 5, because we are splitting the money equally among the 5 kids.
4 ÷ 5 = 0.8
Therefore, each kid gets $0.80
I hope this helps and please mark me as brainliest!
Answer:
0.80 cents
please make this answer brainliest If I helped you!
Step-by-step explanation:
each will get 0.80 cents because 0.80 times the 5 of them equally will equal 4 full $dollars
if x= -2 and y= -3 then what is x^3y^2
Answer:
The answer is 72.
Step-by-step explanation:
If x=-2 and y=-3 then what is x^3y^2.
Plug them into that equation.
(-2)^3 * (-3)^2
Expand the power.
(-2*-2*-2)*(-3*-3)
(-8)*(9)
72
Answer:
72
Step-by-step explanation:
Can someone please help me with my math without giving the answer?
Answer:
what do you need help with? i will gladly help :>
Step-by-step explanation:
Ally~
Help pls!
[tex]\begin{bmatrix}5x+3y=7\\ 3x-5y=-23\end{bmatrix}[/tex]
Answer:
Soln:
5x+3y=7
(5x+3y)×5=7×5
25x+15y=35,eq.1
3x-5y=(-23)
(3x-5y)×3=-23×3
9x-15y=(-69)
Adding both equations,
25x+15y=35
9x-15y=(-69)
34x=(-34)
x=(-1)
5x+3y=7
(-5)+3y=7
3y=12
y=4
How do you solve this math problem?
Answer: 34.8
Step-by-step explanation:
2x + 3y = 19 3x - 5y = -19 Whats the solution
Answer:
SSimplifying
2x + -3y = 19
Solving
2x + -3y = 19
Solving for variable 'x'.tep-by-step explanation:
Simplifying
2x + -3y = 19
Solving
2x + -3y = 19
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
2x + -3y + 3y = 19 + 3y
Combine like terms: -3y + 3y = 0
2x + 0 = 19 + 3y
2x = 19 + 3y
Divide each side by '2'.
x = 9.5 + 1.5y
Simplifying
x = 9.5 + 1.5y
Please help!!
Find the value of x
A. 12
B. 6
C. 10
Answer:
A. x = 12
Step-by-step explanation:
By inscribed angle theorem:
[tex](9x + 2) \degree= \frac{1}{2} [360 \degree - (80 + 60) \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [360 \degree - 140 \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [220 \degree] \\ \\ \implies \: (9x + 2) \degree= 110 \degree \\ \\ \implies \: 9x + 2= 110 \\ \\ \implies \: 9x= 110 - 2\\ \\ \implies \: 9x= 108 \\ \\ \implies \: x= \frac{108}{9} \\ \\ \implies \: \huge { \red{ \boxed{ x= 12}}}[/tex]
Find the total surface area of the cylinder shown. Leave the answer in terms of π.
A cylinder with radius 7 centimeters and height 10 centimeters. SA=2πrh+2πr2
Answer:
TSA of a cylinder = 2*pi*r(r+h)
Pi=22/7
TSA=2*22/7*7(7+10)
TSA=748 sq.cm
Step-by-step explanation:
The surface area of the given cylinder is 238π square centimeters
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that a cylinder with radius 7 centimeters and height 10 centimeters.
r = 7 cm
h = 10 cm
Surface area formula is 2πrh+2πr²
SA=2π×7×10 + 2π(7)²
=140π + 98π
=238π
Hence, the surface area of the given cylinder is 238π square centimeters
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A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must be added for the mixture to become $60\%$ vinegar and $40\%$ water
Answer:
5 gallons of water must be added.
10 gallons to start with
adding 'x' gallons of water final volume = 10 + x
.9 (10) = amount of vinegar
.1(10) = amount of water
amount of vinegar before and after water addition is constant
.9(10) = .6(10+x)
9 = 6 + .6x
3 = .6x
x = 5 gallons of water to be added
(i truly hope i helped you
How to find the volume of a trapezoidal prism calculator?.
create a real life scenario that could be modeled by the equation: y = 50 + 25x
Maybe something money-wise.
Jenny's subscription requires a 50$ desposit, as well as a monthly fee of 25$. How much will she have paid after x months?
A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.
What is linear equation?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.
Real life scenario for the given two variable equation : y = 50 + 25x
Thus, A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.
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Arrange the given polynomial in descending order.
3x+7x +1
Answer:
10x + 1
Step-by-step explanation:
First, combine any like terms. Then make sure to rewrite in descending order.
3x + 7x + 1 <== combine any like terms
10x + 1 <== arrange in descending order
Hope this helps!
4.
Nalli bought a 24-ounce bottle of salad
dressing for $5.75. She has used 60% of the
bottle this week for her lunches. What is the
cost of the amount of salad dressing that she
has used this week?
Answer:
THAZ NOW NUMBU FO IDIYIT WEN YO POWPIN
Step-by-step explanation:
What is the surface area of the prism?
520 m²
Here given:
length: 10 m
width: 8 m
height: 10 m
surface area of rectangular prism:
2(lw+hw+hl)
2(10*8+10*8+10*10)
2(80+80+100)
2(260)
520 m²
Answer:
Surface Area = 520 m² ( Option C is correct )Step-by-step explanation:
In this question we are given a rectangular prism which having :
Length = 10 mWidth = 8 mHeight = 10 mAnd we are asking to find the surface area of prism . We know that ,
[tex] \blue{ \underline{ \boxed{ \sf{Surface \: Area_{(Rectangular \: Prism)} =2(lw + wh + hl )}}}}[/tex]
Where ,
l = Length of prismw = Width of prismh = Height of prismSolution : -
Now solving by substituting value of length, width and height in the formula . So ,
[tex] \longmapsto \quad \: 2( (10 \times 8 )+ (8 \times 10) + (10 \times 10))[/tex]
[tex] \longmapsto \quad \:2(80 + 80 + 100)[/tex]
[tex] \longmapsto \quad \:2(160 + 100)[/tex]
[tex] \longmapsto \quad \:2(260)[/tex]
[tex] \longmapsto \quad \: \underline{\boxed{\frak{520 \: m {}^{2} }}}[/tex]✦
Henceforth, surface area of given prism is 520 square metres which means option C is the correct answer .#Keep LeaningThe function f(t)=6500(1.85)^{365t}f(t)=6500(1.85)
365t represents the change in a quantity over t years. What does the constant 1.85 reveal about the rate of change of the quantity?
Answer:
The function is *growing* exponentially at a rate of *0.85%* every *year*
Step-by-step explanation:
A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.
Answer:
yes it is The answer is C
Step-by-step explanation:
In Morton’s class of 20, 4 Students report that social studies as their favorite class And 70% of the students report that PE is their favorite class, Show your work To explain how do determine whether more students prefer social studies or PE
Answer:
More students prefer PE.
Step-by-step explanation:
20 × 70% = 14
14 > 4
14 students prefer PE
4 prefer social studies
OR
4 ÷ 20 = 0.2
0.2 = 20%
70% > 20%
70% of the students prefer PE
20% of the students prefer social studies
10. A manufacturer wanted to know if more coupons would be redeemed if they were mailed to the
female in the household rather than the male in the household. A coupon book was sent at
random to either the male or female in a random sample of 50 male-female households. A
month later, a coupon book was sent to the other member of the pair. The manufacturer found
that the mean difference (female-male) in the number of coupons redeemed was 1.5 with a
standard deviation of 4.75.
Do these data provide convincing evidence that the mean number of coupons redeemed is
greater when the coupons were addressed to a female? Use a = 0.01.
а
Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:
[tex]H_1: \mu > 0[/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.In this problem, the parameters are given as follows:
[tex]\overline{x} = 1.5, \mu = 0, s = 4.75, n = 50[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.5 - 0}{\frac{4.75}{\sqrt{50}}}[/tex]
t = 2.23
What is the conclusion?Considering a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.01 and 50 - 1 = 49 df, the critical value is given by [tex]t^{\ast} = 2.4[/tex].
Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
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Need help fast !!!!!
Hey, guys this is a really long question and I am so lost and stuck, as well as confused on what to do. So, I've gotten my phone taken away many times in the past because my parents claim I am "texting too much"... They always gave it back to me after about a week, but a couple weeks ago, they took it away, saying that they would take it away forever until I am old enough to buy myself a phone with my own money. It's also not like I'm using my phone THAT MUCH, I'm in Middle School and I have a TON of things to get done giving me hardly any time to relax and call my friends or text them. I think they’re being extremely harsh about it and not fair. They also won’t budge if I try to convince them to let me have it back. I am convinced that they deleted my number so that I couldn’t “find my phone” for whatever reason and text people. All my calls from my friends' phones go to voicemail right away, texts don't ever go though. What should I do?
also i picked a random category which was math so.. :D
Answer:
Ask for it back nicely. Maybe make some offers that might persuade your parents to give your phone back (like chores). Also do nice things for them so that they want to help you more.
Step-by-step explanation:
It works for me most of the time.
7. John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The
fence is to be 15 feet from the edge of the pool.
The total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.
What is the perimeter of a rectangle?The measure of the boundary of the sides of a rectangle is called its perimeter. The perimeter of a rectangle is twice the sum of the sides of the rectangle.
[tex]P=2(a+b)[/tex]
Here, (l) is the length and (w) is the width of the rectangle.
John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The fence is to be 15 feet from the edge of the pool from all the sides.
Thus, add 15 two times in length and width for both side of pool. The length of the fence is,
[tex]l=23+15+15\\l=53[/tex]
The width of the fence is,
[tex]l=22+15+15\\l=52[/tex]
The perimeter of the fence is,
[tex]P=2(l+w)\\P=2(53+52)\\P=2(105)\\P=210\rm\; ft[/tex]
Thus, the total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.
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Which did you include in your response? Check all that apply.
Use corresponding ordered pairs.
Divide the coordinates of the image by the pre-image.
Determine that the pre-image times the scale factor produces the image.
Answer:
It did not attach correctly try again and ill answer
Step-by-step explanation:
Post the attach picture or whatever goes with it
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. the side length of the pillow is 2x2 1 inches. she plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. what expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5? 2x2 4x−6; 22.0 inches 2x2 4x−6; 32.5 inches 4(2x2 4x−6;) 88.0 inches 4(2x2 4x−6;) 130.0 inches
From the calculation, it is clear that the mathematical expression required for both pillows is given as: 4(2x2+4x−6;) 130.0 inches (Options D)
Recall side length is given as: 2x² + 1; and
The Ribbon's side length is: 4x -7.
To determine the length of ribbon required for the two pillows, we must state:
= 4 (2x² +1) + 4(4x-7)
Expanding the bracket since is common to both sides of the expression, we state:
= 4(2x² +1 + 4x -7).
Collecting like terms and resolving sums and differences, we have:
= 4(2x²+ 4x -6).
Step two
Recall that length is given as x = 3.5 therefore,
substituting x in the equation, we have:
4 (2 * 3.5²) + 4 ((3.5)-6)
= 130 Inches.
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What is the answer? Thank you, :)
A self-selecting sample is Group of answer choices a good indicator of sample quality. not likely to be biased. guaranteed to be representative. not likely to be representative.
A self-selecting sample is not likely to be representative. The reason why a self-selecting sample is not likely representative would be discussed below.
What is self-selecting sample?A self-selection sample is determined by the individual that are used as data for the research. They are the ones that will determine the inclusion or exclusion of the sample units by either affirming or declining to participate.
The reason self-selecting sample is not likely to be representative is that it is too bias as the individuals that volunteered may not be able to satisfy the goals of the research.
Therefore, a self-selecting sample is not likely to be representative.
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We give brain list if you help solve this
Answer: 28 inches
Step by step explaination:
First: You do inches over feet- In/Ft
Second: you do 4/60=x/420
Next: You do 60x=1680
60 60
Last- Your answer is 28 inches if you divide 1680 and 60.
Did this help you?
Answer:
[tex]\huge\boxed{\sf 28\ inches}[/tex]
Step-by-step explanation:
Given that:
Height of the building = 420 feet
According to the scale,
4 inches = 60 feet
×7 ×7 [Multiplying 7 to both sides]
28 inches = 420 feet
So, Height of scale model in inches is 28 inches.
[tex]\rule[225]{225}{2}[/tex]
help again pls✊ pls and ty
Answer:
The linear relationship between the length of someone's femur and their expected height..
What is 0540 - 0360 Military time?
Answer:
thats 5:40 am in normal time
Step-by-step explanation:
Solve the system of equations: 4x+1=5(x−3y)−6
3(x+6y)+4=9y+19
Answer:
[tex](\frac{16}{3},- \frac{1}{9} )[/tex] or [tex]x=\frac{16}{3}, y=- \frac{1}{9}[/tex]
Step-by-step explanation:
Hello again!
We are given these two systems:
4x+1=5(x-3y)-6
3(x+6y)+4=9y+19
And we want to solve them for x and y.
First, let's do the distributive property to expand out what is in the parentheses.
4x+1=5(x-3y)-6 --> 4x+1=5x-15y-6
Now simplify 4x+1=5x-15y-6
Subtract 5x from both sides
4x+1=5x-15y-6
-5x -5x
__________
-x+1=-15y-6
Now add 15y to both sides
-x+1=-15y-6
+15y +15y
___________
-x+15y+1=-6
Subtract 1 from both sides
-x+15y=-7
Now for 3(x+6y)+4=9y+19:
3x + 18y + 4 = 9y + 19
Subtract 9y from both sides
3x + 9y + 4 = 19
Subtract 4 from both sides
3x + 9y = 15
Here is our system now:
-x+15y=-7
3x+9y=15
On 3x+9y=15, because all of the values are multiples of 3, we can actually divide it by 3.
3x+9y=15
÷3 ÷3
x + 3y = 5
So here it is again:
-x+15y=-7
x+3y=5
These equations can actually be solved using elimination! We will be adding these equations together to clear out a variable, solve for the uncleared variable, and then use the value of the uncleared variable to find the value of the cleared variable
So, add -x+15y=-7 and x+3y=5 together.
-x+15y=-7
+
x+3y=5
_____
18y=-2
Divide both sides by 18
y=[tex]-\frac{1}{9}[/tex]
Now substitute -1/9 as y into either -x+15y=7 or x+3y=5
Taking x+3y=5 for example,
x+3(-1/9)=5
multiply
x-1/3+5
Add 1/3 to both sides
x=5+1/3=16/3
So the answer is [tex]x=\frac{16}{3} , y=-\frac{1}{9}[/tex], or as a point, [tex](\frac{16}{3},- \frac{1}{9} )[/tex]
Hope this helps!
6 / (1 / 9) = (6 / 1) = /9
-
O A. True
O B. False
Answer:
Step-by-step explanation:
6÷ 1/9 = 6/1 × 9/1 = 54