Answer:
A and C
Step-by-step explanation:
We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.
__
A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.
So, the only figures that might have similar volumes are the hemisphere and the cone.
HemisphereV = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³
ConeV = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³
__
The hemisphere (A) and the cone (C) have the same volume.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).
a = and b =
The value of a is equal to 3 and the value of b is equal to 4.
Complex Number
A Complex Number is represented by z=a+bi, where:
a= real part
bi= imaginary number
b= imaginary part
i= [tex]\sqrt{-1}[/tex], therefore i²= -1
For solving this question, you should solve the product (-11 + 5i) * (1 – i). After that, you should compare the previous results with the result for expression ( (a + bi)* (2 + 3i) )-i. From this comparison, using the linear system you will find the variables a and b.
Step 1 - Solve the product (-11 + 5i) * (1 – i)(-11 + 5i) * (1 – i)=
-11 +11i +5i -5i²
-11 +16i -5i², as i²= -1 you can rewrite
-11 +16i -5(-1)
-11 +16i +5
-6+16i
Then,
(-11 + 5i) * (1 – i)= -6+16i
Step 2 - Simplify the expression ( (a + bi)* (2 + 3i) )-i( (a + bi)* (2 + 3i) )-i
(2a+3ai +2bi +3bi²) -i, as i²= -1 you can rewrite
(2a+3ai +2bi +3b(-1)) -i
(2a+3ai +2bi -3b) -i
( (2a-3b) + i(3a +2b) ) -i ,
For adding complex numbers, you must add or subtract the corresponding real and imaginary parts. Thus, you will have:
(2a-3b) + i(3a +2b-1)
Then,
( (a + bi)* (2 + 3i) )-i= (2a-3b) + i(3a +2b-1)
Step 3 - Identify real and imaginary parts for previous results
For (-11 + 5i) * (1 – i)= -6+16i
real part = -6
imaginary part = 16
For ( (a + bi)* (2 + 3i) )-i= (2a-3b) + i(3a +2b-1)
real part = 2a-3b
imaginary part = 3a +2b-1
Step 4 - Construct a linear system from real and imaginary parts2a-3b= -6
3a +2b-1=16, you can rewrite as 3a +2b=17.
Thus the system will be:
[tex]\begin{bmatrix}2a-3b=-6\\ 3a+2b=17\end{bmatrix}[/tex]
Step 5 - Solving the linear system
2a-3b=-6 (1)
3a+2b=17 (2)
Multiplying equation 1 by 2 and equation 2 by 3, you can rewrite as:
4a-6b= -12
9a+6b=51
Sum the equations
4a-6b+9a+6b= -12 +51
13a= 39
a=39/13=3
Replacing the value of a=3 in equation 1, you can find b.
2a-3b=-6 (1)
2*3-3b= -6
6 -3b = -6
-3b = -6 -6
-3b= -12
b= -12/-3 = 4
Read more about complex numbers here:
https://brainly.com/question/5564133
Question 11
1 pts
A baby was 6 lb 8 oz at birth. At one month old, she weighed 9 lb 2 oz. How much weight did the
baby gain in the first month?
Answer:
2 lb and 4oz
Step-by-step explanation:
because if you do 9lb 2oz minus 6lb 8oz you get 2 lb 4oz
Corey deposits $3500 a bank which pays 3%
interest per year. How much money will John have in
his account after 10 years?
Answer:
35,000
Step-by-step explanation:
Answer:
Corey will have $4550.00 in is account after 10 years.
Step-by-step explanation:
This is simple interest. Here is the formula for simple interest.
[tex]A=P(1+r*t)[/tex]
A = Final Amount
P = Principal Amount
R = Interest Rate
T = Time
We are given values for P, r, and t. Lets solve for A.
To get 3 percent as a decimal divide it by 100. We get 0.03.
[tex]P=3500[/tex]
[tex]r=0.03[/tex]
[tex]t=10[/tex]
[tex]A=3500(1+0.03*10)[/tex]
[tex]A=3500(1+0.30)[/tex]
[tex]A=3500(1.30)[/tex]
[tex]A=4550[/tex]
find out 6c+4dc when c=4.5 and d=6.6
show how to do it step by step
Answer:
145.8
Step-by-step explanation:
6c+4dc, where c=4.5 d=6.6
6(4.5) + 4(6.6) (4.5)
27 + 118.8
=145.8
A ball is thrown from an initial height of 3 feet with an initial upward velocity of 44 ft/s. The ball's height h (in feet) after seconds is given by the following.
h = 3+44t-16t^2
Find all values of t which the balls height is 23 feet.
Answer:
See below ↓↓
Step-by-step explanation:
Given function
h = 3 + 44t - 16t²We need to calculate the possible values of t at h = 23 feet.
Subsituting h = 23,
23 = 3 + 44t - 16t²16t² - 44t + 20 = 0Divide throughout by 4 as it is a common factor4t² - 11t + 5 = 0Solving for 't' using quadratic formula
t = 11 ± √121 - 4(4)(5) / 8t = 11 ± √41 / 8Solutions
t = 11 + 6.4 / 8 = 17.4/8 = 2.175 secondst = 11 - 6.4 / 8 = 4.6/8 = 0.575 secondsAnswer:
t = 2.175 s (3 dp)
t = 0.575 s (3 dp)
Step-by-step explanation:
Given equation: [tex]h=3+44t-16t^2[/tex]
To find all values of t for which the ball's height is 23 ft, substitute h = 20 into the equation and solve for t:
[tex]\implies h=23[/tex]
[tex]\implies 3+44t-16t^2=23[/tex]
[tex]\implies 16t^2-44t-3+23=0[/tex]
[tex]\implies 16t^2-44t+20=0[/tex]
Factor out common term 4:
[tex]\implies 4(4t^2-11t+5)=0[/tex]
Divide both sides by 4:
[tex]\implies 4t^2-11t+5=0[/tex]
Quadratic formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
Use the quadratic formula to solve for t:
[tex]\implies t=\dfrac{-(-11) \pm \sqrt{(-11)^2-4(4)(5)} }{2(4)}[/tex]
[tex]\implies t=\dfrac{11 \pm \sqrt{41}}{8}[/tex]
Therefore,
t = 2.175 s (3 dp)t = 0.575 s (3 dp)Multiply and divide rational expressions and simplify the answer
Answer:
1. 32x/15
2. 2/x-4
3. 1/10x+10
4. 3x^6/5x^9
5. (x-3)(x-9)/6
6. x^2/3
Step-by-step explanation:
multiply the Numerator with the Numerator of other number and multiply the denominator of the first with the denominator of the second. Find a common factor in both the Numerator and denominator to be able to cross out the identical factors.
What is the answer?
[tex]\text{Given that,}\\\\\tan x = \dfrac 3{10}\\\\\text{Now,}\\\\\sin 2x = \dfrac{2\tan x}{1+ \tan^2 x}\\\\\\~~~~~~~~=\dfrac{2 \cdot \tfrac 3{10}}{1+ \left(\tfrac 3{10} \right)^2}\\\\\\~~~~~~~~=\dfrac{\tfrac 35}{1+ \tfrac 9{100}}\\\\\\~~~~~~~~=\dfrac{ \tfrac 35}{\tfrac{109}{100}}\\\\\\~~~~~~~~=\dfrac 35 \times \dfrac{100}{109}\\\\\\~~~~~~~~=\dfrac{60}{109}\\\\\\~~~~~~~~=0.5505[/tex]
Tori made a scale drawing of an Italian
restaurant. The restaurant's kitchen is 2
millimeters long in the drawing. The actual
kitchen is 16 meters long. What scale did Tori
use for the drawing?
1 millimeter :
meters
Step-by-step explanation:
2mm : 16m
so to get 1mm you need to divide 16 by 2
16/2 is 8 therefore
1mm : 8m
1 millimeter represents 8 meters in real life
hope that helps :)
PLEASE HELP
Type the correct answer in the box. Use numerals instead of words.
What is the value of this expression?
log, 8 + log; (3)
Answer:
[tex]\log(24)[/tex]
Step-by-step explanation:
[tex]\log(8)+\log(3)=\log(8*3)=\log(24)[/tex]
If l=5,b=3cm,c=2cm, find its volume
Answer:
30 cm³
Step-by-step explanation:
Volume = lbc
V = l x b x cV = 5 cm x 3 cm x 2 cmV = 30 cm³Answer:
The volume is 30 cm³
Step-by-step explanation:
Volume = l×b×c
=> 5×3×2
=> 30 cm³
Select the two values of x that are roots of this equation.
x² + 34-3=0
. A. X=
-3+2/3
2
B. X=
-3-3
N
I X =
C. x.-3+27
=
1/21
2
O
D. *= -3-V21
=
2
Answer:
A. x=3 2.3
B . x=8
C. x=i do not know.
D. x=26
Step-by-step explanation:
A. -3+2/3=2
-3+2/3=-2 1/3
-2 1/3+3 2/3.=2
B. -3-3n=1
-3-3=-6n
-6n+8=1
C i do not understand.
D. -3-v21=2
21√5
Decimal Form:
1.0796532
or -24=2
-24+26=2
5. Solve the following differential equations
(a) dy/dx = 3y sin x (general solution)
(b) dy/dx = (given that x=0 when y=0)
Answer:
Step-by-step explanation:
hello :
dy/dx = 3y sin x means : (1/3) dy/y =sinx dx.....continu integ
A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x?
Answer:
12.0
Step-by-step explanation:
we solve using the pythagorean theorem.
sqrt of (12.5^2 - 3.5^2)
answer is 12
rounded of to the nearest tenth is 12.0
At a concession stand, five hot dog(s) and four hamburger(s) cost $15.25, four hot dog(s) and five hamburger(s) cost $16.25. Find the cost of one hot dog and the cost of one hamburger
Answer:
0.45
3.25
Step-by-step explanation:
16.25 ÷ 5 = 3.25
15.25 - 3.25 × 4 = 2.25
2.25 ÷ 5 = 0.45
Check Answer:
3.25 × 5 = 16.25
0.45 × 4 = 2.25
3.25 - 2.25 = 1
16.25 - 1 = 15.25
~lenvy~
The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?
Answer: 1680
Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.
c. A detergent contains a mixture of chemicals: A, B and C in the ratio 4: 10:10. A bottle of detergent contains 1.8 litres of Chemical C. How much of chemical A and B does the bottle contain? 161
Answer:
A = 0.72l B = 1.8l C = 1.8l
Step-by-step explanation:
A:B:C = 4:10:10
It means that B and C are equal
It is told that C contains 1.8 liters
B have to contain 1.8 liters too
1.8l*4/10 = 0.72l
You can also write it like this (this version is easier for me):
1.8l:10 = 0.18l
4*0.18l = 0.72l
Hope that I helped :)
Find the unit vector in the direction of (6, 7).
Write your answer in component form.
Do not approximate any numbers in your answer.
Answer:
<(6/√85),(7/√85>
Step-by-step explanation:
Let vector o = 6i + 7j,
The magnitude, | o | = √(6²+7²) = √85
Unit vector, ô = (6i + 7j)/√85
= (6/√85)i + (7/√85)j
In component form, ô = <(6/√85),(7/√85>
Find the area of the shape.
help help help got math math
Answer:
>
Step-by-step explanation:
This is the greater than symbol. Think of it like an alligator mouth that wants to eat the larger number. 3.2 is larger than -99.
Answer:
3.2 > -99
Step-by-step explanation:
3.2 ? -99
3.2 (positive number)
-99 (negative number)
Positive numbers are always bigger than negative numbers
3.2 ? -99
3.2 > -99
Hope this helps!
how do you simplify (y+z)^3
Answer: y3+3y2z+3yz2+z3
Step-by-step explanation:
(y+z)3
=(y+z)*(y+z)*(y+z)
=(y+z)(y2+2yz+z2)
=(y)(y2)+(y)(2yz)+(y)(z2)+(z)(y2)+(z)(2yz)+(z)(z2)
=y3+2y2z+yz2+y2z+2yz2+z3
=y3+3y2z+3yz2+z3
Find the surface area of the rectangular prism using the net
Answer:
170 in²
Step-by-step explanation:
Surface Area
⇒ (2 x Length x Height) + (2 x Width x Height) + (2 x Length x Width)
⇒ (2 x 6 x 5) + (2 x 5 x 5) + (2 x 6 x 5)
⇒ 60 + 50 + 60
⇒ 170 in²
TSA:-
2(LB+BH+LH)2(6×5+5×5+5×6)2(30+25+30)2(85)170in^2Please factorise 14cd – 7c
Answer:
7c (2d - 1)
Step-by-step explanation:
Common factorization
Answer:
[tex]\bold{ 7c(2d - 1)}[/tex]
Step-by-step explanation:
[tex]\sf \rightarrow 14cd - 7(c)[/tex]
take 7(c) as common factor
[tex]\sf \rightarrow 7c(2d - 1)[/tex]
factorised
[tex]\sf 7 c(2d - 1)[/tex]
calculate the social security and Medicare deductions for the following employee (assume a tax rate of 6.2% on $128,400 for social security and 1.45% for Medicare)
cumulative earnings before this pay period: $409,100
pay amount this period: $8,800
Answer:
Several interpretations:
1. If you're simply looking for the math involved in the employee's portion of the $8,800: 6.2% +1.45% = 7.65%. So 7.65% of $8,800 = $673.20.
2. If you are trying to calculate total FICA for this pay period, it would be 12.4% + 2.9% since these amounts are split between the employer and employee (15.3% = $1,346.40).
3. If you are trying to calculate the total for this pay period given that their YTD earnings are $417,900 (lucky employee!), they do not owe anything (see explanation below).
Step-by-step explanation:
The OASDI program limits the amount of earnings that are subject to taxation in a given year. For 2022, the contribution and benefit base, otherwise known as the taxable maximum, is $147,000. The taxable max for 2018 was $128,400).
Assuming this employee has exceeded that amount as their current YTD income is $417,900 (409,100 + 8,800), they don't owe anything.
Quick Edit:
My apologies! An additional 0.9% Medicare tax is added for taxable income exceeding $200,000 depending on their filing status. Table is available at https://fitsmallbusiness.com/
(3x10^-4)(5x10^8) in scientific notation
Answer:
[tex]15 \times {10}^{4} [/tex]
Step-by-step explanation:
[tex](3 \times {10}^{ - 4} )(5 \times {10}^{8} ) \\ \\ = 3 \times 5 \times {10}^{8 - 4} \\ \\ = 15 \times {10}^{4} [/tex]
Help my 9 year old sister please
Answer:
He multiplied 28 by 7 instead of dividing it.
28 times 7 equals 196.
Step-by-step explanation:
I hope this helps! Have a lovely day!!! :)
Nine is 2% of what number?
Answer:
450
Step-by-step explanation:
9=1/50 times x
x=450
A store sold 200 cell phone covers in April. The circle graph shows the
percent of each color sold in that month. How many more black covers
were sold than blue covers?
Answer:
24
Step-by-step explanation:
Given
Total is 200
From the attachment, we have:
Required
Black- 35%
Blue-23%
How many more of black than blue were sold
First, calculate the difference in percentage sold
Multiply by the total phones sold;
Hence, 24 more blacks were sold than blue
Hope this helps
Brainliest appreciated :)
Answer:
The answer is 24
Step-by-step explanation:
The total amount of phone covers were 200.
35% of those were black. So, 200 x 35% (or 200 x .35) = 70.
70 of the phone covers sold were black.
23% of the covers were blue. So, 200 x 23% (or 200 x .23) = 46
46 of the phone covers sold were blue.
How many more black covers sold than blue covers means we subtract.
70 black covers - 46 blue covers = 24 more black covers sold.
distance between these points
X (-3, -4 ) Y (5, 5)
Answer:
12.0
Step-by-step explanation:
The distance betwen the two points is the slope/gradient of that line.Slope/gradient = c (pythagoras theorem) : [tex]c^{2} = a^{2} + b^{2}[/tex]x = a, y = bx = 5 - (-4) = 5 + 4 = 9y = 5 - (-3) = 5 + 3 = 8[tex]c^{2} = 8^{2} + 9^{2}[/tex]
= 64 + 81
= 145
[tex]\sqrt{c^{2} } = \sqrt{145}[/tex]
Therefore,
c = 12.0 (3 s.f.)
FIND THE VALUES OF X AND Z FOR BRAINLIEST! :)))
Answer:
x = 20
z = 87
Step-by-step explanation:
Suplementary angles:
9x - 87 + 87 = 180
9x = 180
x = 20
Vertical angles:
z = 87
Answer:
z=87 x=20
Step-by-step explanation:
z=87 because vertical angles are congruent
87x2=174
360-84 =186
186/2=93 (the other 2 vertical angles are 93 each)
9x-87 =93
9x=180
x=20
Help, this is my math hw and I don't get it!
Pictures are attached below...
I need to show my work too, so i need a file to your work!
I'll mark brainliest if you can answer it.
