Answer:
pls provide with a graph
Question 13 of 47
What is the sum of the complex numbers below?
(5-8i) + (1-11i)
a. 6+19i
b. -6+19i
c. -6-19i
d. 6-19i
Answer:
d. 6-19i
Step-by-step explanation:
(5-8i)+(1-11i)
Step 1: Combine like terms within the parenthesis. There are no like terms within the parenthesis. So, drop the parenthesis and move on to the next step.
(Remember!! If you would have had a negative sign in front of either parenthesis, you would need to distribute out the negative sign).
5 - 8i + 1 - 11i
Step 2: Now add like terms.
5 + 1 - 8i - 11i
6 - 19i
You can't combine any more like terms, so this is your final answer.
6 - 19i
Can someone please help with this one? Thank you!
Answer:
A'(5,1), B'(3,2), C'(4,5)
Find the area of the regular polygon.
9514 1404 393
Answer:
522 in²
Step-by-step explanation:
The area of a regular polygon is given by the formula ...
A = 1/2Pa
where P is the perimeter and 'a' is the apothem. Using the given values, we find the area to be ...
A = 1/2(5·17.4 in)(12 in) = 522 in²
please answer all thanks
Answer:
solution given:
5.
Cos 42=adjacent/hypotenuse
cos 42=x/32
x=Cos 42*32
x=23.8
6.
sin 26=opposite/hypotenuse
sin26=22/x
x=22/sin26
x=50.19
x=50.2
The answer I put is wrong. SO don't put that as a answer. NEED TO EXPLAIN VERY IMPORTANT
Answer:
c
Step-by-step explanation:
OK 250 divided by 40 equals 6.25 so she would need 6 bags at least, i would say its your answer but you said its wrong so
Answer:
Solution given:
Annie needs 250 lb of cement to fix the outer step.
Each bag hold 40 lb of cement.
Now
40 lb =1bag
we need
250lb= ? bag.
we have
no of bag =needed lb/1 bag's lb=250/40=250/40=6.25
we do not need more than 7 bags
Annie needs 7 bags.
So
The required inequality is:
b≥7.
what is 41393415 in kg?
Answer:
41393415 in kg is 1.8776E+07, or about 18775737.2.
Step-by-step explanation:
For this equation, you should divide 41393415 by approximately 2.20462262 to get your answer of 1.8776E+07 or about 18775737.2.
The area of a rectangle is represented by 12n^2 - 19n – 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n + 4
C. 14n - 8
D. 14n + 8
pls help!!!
Answer:
C 14n - 8
Step-by-step explanation:
area of rectangle = length × width = 12n² - 19n - 21
width = 3n - 7
so, what do we need to multiply with width to get the expression of the area ?
4n + 3
(because we think, what do we need to multiply 3n with to get 12n², and what to multiply -7 to get -21)
control : (3n-7)×(4n+3) = 12n²-28n+9n-21 = 12n²-19n-21
perimeter is now 2× length + 2× width
p = 2(3n-7) + 2(4n+3) = 6n - 14 + 8n + 6 = 14n - 8
What is the volume of the figure below in cubic meters
756
936
1008
1080
in a bag I have 16 yellow marbles, 14 by marbles and 10 black marbles. If I draw to marbles, one at a time, what’s my probability of drawing a black marble, putting it back and then choosing a yellow marble
Answer:
1/10
Step-by-step explanation:
There are 16+ 14+10 = 40 marbles
P( black) = black/total = 10/40 = 1/4
We put it back
There are 16+ 14+10 = 40 marbles
P( yellow) = yellow/ total = 16/40 = 2/5
Multiply the probabilities together
P( black, yellow) = 1/4 * 2/5
= 2/20 = 1/10
A store offered a buy one get one free sale for a popular shirt. The manager noticed that 35% of consumers bought a red shirt, 25% a blue, and 40% a green. Assume all consumers bought either two shirts or none at all, but no consumer buys two shirts of the same color. How many consumers did not buy any of these shirts
Answer:
50%
Step-by-step explanation:
Let X = Green and red
Y = Red and blue
Z = Green and blue
( Buy green or red or blue )
⇒ (x + y) + (y + z) + (z + y) = 25 + 40 + 25
⇒ 2( x + y + z) = 100
∴ x + y + z = 50
Buy at least one shirt = 50%
So, did not buy any shirt = 100 - 50
= 50%
Little help here
i finished Part A
Part B i dont know it ;-;
Answer:
image is not clear
Step-by-step explanation:
Suppose a monument in the center of your town casts a shadow that is 32 feet long. If the angle of elevation is 47°, what is the height of the monument?
Answer:
Step-by-step explanation:
Using the solution diagram below ;
Let height of monument = h
Using trigonometric relation :
Tan θ = Opposite / Adjacent
Tan 47 = h / 32
h = tan 47 * 32
h = 34.315 feets
h = 34.3 feets
If the measure of angle 2 is 2x+3 and the measure of angle 4 is 4x-7, what is x?
Answer:
-92
Step-by-step explanation:
2x+3-4x-7=180
please help! find the surface area of the prism
Answer:
1. 172 cm²
2. 226.56 cm²
3. 336 cm²
4. 284 cm²
Step-by-step explanation:
which one ? all ?
a surface area of an object is always the sum of the individual shapes areas on its surface.
1. 6 rectangles (length×width)
2 rectangles of 2×8 = 16 cm²
32 cm²
2 rectangles of 2×7 = 14 cm²
28 cm²
2 rectangles of 7×8 = 56 cm²
112 cm²
total : 32+28+112 = 172 cm²
2. 2 triangles and 3 rectangles
2 triangles (baseline × height / 2) = 7.2×4.8/2 = 17.28 cm²
34.56 cm²
2 rectangles 10×6 = 60 cm²
120 cm²
1 rectangle 10×7.2 = 72 cm²
72 cm²
total : 34.56+120+72 = 226.56 cm²
3. 2 triangles (right-angled) and 3 rectangles
2 triangles (a×b/2) = 8×6/2 = 24 cm²
48 cm²
1 rectangle 6×12 = 72 cm²
72 cm²
1 rectangle 8×12 = 96 cm²
96 cm²
1 rectangle 10×12 = 120 cm²
120 cm²
total : 48+72+96+120 = 336 cm²
4. 6 rectangles
2 rectangles of 3×10 = 30 cm²
60 cm²
2 rectangles of 3×9 = 27 cm²
54 cm²
2 rectangles of 10×9 = 90 cm²
180 cm²
total : 60+54+180 = 294 cm²
Evaluate the integral. (Use C for the constant of integration. Enter your answer using function notation - use ln(x) instead of ln x.)
Answer:
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx[/tex]
Required
Integrate
Using partial fraction, we have:
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]
Take LCM
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{(Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)}{(x^2 + 1)(x^2 + 3)}[/tex]
Cancel out the denominators
[tex]3x^3 + 4x^2 + 9x + 4} = (Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)[/tex]
Open brackets
[tex]3x^3 + 4x^2 + 9x + 4} = Ax^3+Bx^2 + 3Ax +3B+ Cx^3 + Dx^2 + Cx + D[/tex]
Collect like terms
[tex]3x^3 + 4x^2 + 9x + 4 = Ax^3+ Cx^3+Bx^2+ Dx^2 + 3Ax+ Cx +3B + D[/tex]
Compare like terms on opposite sides
[tex]Ax^3 + Cx^3 = 3x^3[/tex] [tex]A + C = 3[/tex]
[tex]Bx^2 + Dx^2 = 4x^2[/tex] [tex]B + D = 4[/tex]
[tex]3Ax + Cx = 9x[/tex] [tex]3A + C = 9[/tex]
[tex]3B + D = 4[/tex]
Subtract [tex]B + D = 4[/tex] from [tex]3B + D = 4[/tex]
[tex]3B - B + D - D = 4 - 4[/tex]
[tex]2B + 0 = 0[/tex]
[tex]2B = 0[/tex]
[tex]B = 0[/tex]
[tex]B + D = 4[/tex]
[tex]D =4 - B[/tex]
[tex]D =4 - 0[/tex]
[tex]D =4[/tex]
Subtract [tex]A + C = 3[/tex] from [tex]3A + C = 9[/tex]
[tex]3A - A + C - C = 9 - 3[/tex]
[tex]2A = 6[/tex]
[tex]A = 3[/tex]
[tex]A + C = 3[/tex]
[tex]C = 3 - A[/tex]
[tex]C = 3 - 3[/tex]
[tex]C = 0[/tex]
So, we have:
[tex]A = 3[/tex] [tex]B = 0[/tex] [tex]C = 0[/tex] [tex]D =4[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x+0}{x^2 + 1} + \frac{0*x + 4}{x^2 + 3}[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}[/tex]
The integral becomes:
[tex]\int\limits {[\frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}]} \, dx[/tex]
Split:
[tex]\int\limits {\frac{3x}{x^2 + 1} \, dx + \int\limits {\frac{4}{x^2 + 3}} \, dx[/tex]
Split
[tex]\frac{3}{2} \int\limits {\frac{2x}{x^2 + 1} \, dx + 4\int\limits {\frac{1}{x^2 + 3}} \ dx[/tex]
Integrate
[tex]\frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}\frac{x}{\sqrt 3} + c[/tex]
Hence:
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]
Banjo is baking his favorite dessert the recipe calls for a 5/8 of a stick of butter but he wants to double the recipe how much butter will bjorn need
Answer:
1 stick and 1/4
Step-by-step explanation:
5/8 plus 5/8 equals 10/8, making it 1 and 2/8 and 2/8 can be simplified to 1/4th
- 1 7/8 + 2 1/4
Plz help im confused
[tex]0.375[/tex] ✅
Step-by-step explanation:
[tex] - 1 \frac{7}{8} + 2 \frac{1}{4} \\ = - \frac{15}{8} + \frac{9}{4} \\ = - \frac{15}{8} + \frac{9 \times 2}{4 \times 2} \\ = \frac{ - 15 + 18}{8} \\ = \frac{3}{8} \\ = 0.375[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Which expression represents the following statement? The quotient of 16 and 4 times 7 less than 11. (4 points)
Answer:
16/ 4 (11-7)
Step-by-step explanation:
The phrase "quotient" tells us that there is division involved. The phrase "times" tells us that there is multiplication involved. The phrase "less" tells us that there is subtraction involved. Using these terminologies and clues, you can basically put together the equation 16/ 4 (11-7).
84/120 simplified as a fraction
Explain WHEN and WHY you would use the median as a best measure of center (instead of either the mean or median)
Answer:
Easy
Step-by-step explanation:
The median is just picking the middle number of a sequence of numbers.
The mean is only used to find the average of the numbers
so hope that settles it
A journey between two towns, Pietermaritzburg and Durban, is exactly 90 km 3.1 Use a graph (with at least 5 different speeds in km/h) to model how variation in speed (x) over the journey causes variation in time taken (y) to complete the trip.
Answer:
Speed in km/hr Time in Minutes
90 60
45 120
30 180
15 360
10 540
time Decrease when speed increase
Number of times the speed is increased the number of times time taken is reduced so it is not possible to take no time at all
as we can see from the graph that it is exponential , reduction in time keep reducing with increase in speed
Step-by-step explanation:
what is the solution set of the equation (x-a) (x+b)=0
Answer:
Would it be x (squared) -ax +bx -a(b)
Or is it ax(squared) +bx +c?
If it isn't those then I think we need more information.
Step-by-step explanation:
Find the value Z a/2 needed to construct a confident
interval with the given level of 99.7%
Answer:
The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.997}{2} = 0.0015[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0015 = 0.9985[/tex], so Z = 2.96.
The critical value is [tex]Z_{\frac{\alpha}{2}} = 2.96[/tex]
Which of the following values have 3 significant figures? Check all that apply.
OPTION C AND D
99.8 AND 458 are the values have 3 significant figures
Question on the image
Answer:
7 upon 10
ok
I Hope I helped
the radius r of the circle below is 11cm
Answer:
[tex]{ \bf{area = \pi {r}^{2} }} \\ = 3.14 \times {11}^{2} \\ = 380.1 \: {cm}^{2} [/tex]
Suppose that four men and four women will be randomly lined up, from left to right, with all possible orderings of these eight people being equally likely. What is the probability that the men will be in alphabetical order, from left to right, and at the same time the women will also be in alphabetical order, from left to right
Answer:
P = 1 / 40320 or P = 2.48*10⁻⁵
Step-by-step explanation:
The total number of outcomes To is:
To = 8! To = 8*7*6*5*4*3*2
To = 40320
Of all these outcomes there is only one proper outcome, therefore the probability of having all men and women in alphabetical order is:
P = 1 / 40320 or P = 2.48*10⁻⁵
Expand & simplify
(x+1)2
Answer:
(2x+2)
Step-by-step explanation:
Which of the following is a sinusoid? A. y = cos(x) - 2 B. x^2 + y^2 = 1 C. y = 3sqrtx D. x^2/3+y^2/6=1
Answer:
A. y = cos(x) - 2
Step-by-step explanation:
The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.
However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.
plz i need the answer today
sorry
i dont know
i wish i could help
Answer:
Step-by-step explanation: