Answer: 32,500
Step-by-step explanation: i don't know
Answer:
32500
Step-by-step explanation:
Without using a calculator
625*52 = (625*4) * (52/4) = 2500 * 13 = 32500
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
What is the length of DF?
Answer:
-DE+EF
Step-by-step explanation:
this is because DE is a negative vector because we are moving against the direction
Please help!
What is the area in square units?
A drawer contains 8 red socks, 6
white socks, and 4 blue socks. Without
looking, you draw out a sock, return
it and draw out a second sock. What is
the probability that the first sock is
white and the second sock is blue?.
simplest form
Answer:
2/27
Step-by-step explanation:
First probability = 6/18 = 1/3
second probability = 4/18 = 2/9 (in this case the number of socks remains the same because we returned the first one)
Final probability = 1/3 * 2/9 = 2/27
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.
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
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
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%
Can someone please help with this one? Thank you!
Answer:
A'(5,1), B'(3,2), C'(4,5)
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]
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]
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
Give the slope and the y-intercept of the line
y= −x+8
. Make sure the y-intercept is written as an ordered pair.
Slope:
Y-intercept:
In 9b3 + 2b4 − 17b + b2, which term has the largest exponent?
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
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
Area of a rectangle is 272.4 m if the length is 15 m what is the perimeter of the rectangle
Answer:
66.32
Step-by-step explanation:
Hello!
[tex]\large\boxed{66.32 m}[/tex]
We are given the area, so we can solve for the width given the length:
A = l × w
Thus:
272.4 = 15 × w
w = 18.16 m
The perimeter of a rectangle can be calculated using this equation:
P = 2l + 2w
Therefore:
P = 2(15) + 2(18.16)
P = 30 + 36.32 = 66.32m
A colony of 1,000 bacteria doubles in size every 14 minutes. What will the population be 42
minutes from now?
bacteria
PLEASE HELP ASAP !!!!!!!!
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
We're provided - m [tex] \angle[/tex] FBD = ( 2x + 3 ) ° & m [tex] \angle[/tex] EBC = ( 9x - 11 ) ° and We're asked to find m [tex] \angle[/tex] EBC .Do you know what vertically opposite angles are ? - When two lines intersect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.
[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
Set up an equation and solve for x :[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]
[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]
[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]
[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]
[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]
[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]
The value of x is 2°.[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{} \tt{7 \degree}}}} }}}[/tex][tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]
۵ Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore ! ☂
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What is the volume of the figure below in cubic meters
756
936
1008
1080
The sum of four times a number and 3 is -13. Find the number.
Answer:
x is equal to -4
Step-by-step explanation:
4x+3= -13
4x/4= -16/4
x= -4
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
If 16x2 + nx + 49 is the square of a
binomial, then what value could n be?
A.14
B.28
C.42
D.56
Answer:
Th correct option is (d).
Step-by-step explanation:
The given expression is :
[tex]16x^2 + nx + 49[/tex] ....(1)
We know that, 16 = 4² and 49 = 7²
Also, (a+b)² = a²+2ab+b²
The given expression becomes,
[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]
Comparing equations (1) and (2),
n = 56
Hence, the value of n is equal to 56.
Little help here
i finished Part A
Part B i dont know it ;-;
Answer:
image is not clear
Step-by-step explanation:
Twelve times a number x, plus a second number y.
Answer:
12x+y
Step-by-step explanation:
12 times a number x
12x
Plus y
12x+y
Simplify the expression:
7y+9+7–2y
Answer:
5y+16
Step-by-step explanation:
see image below:)
Answer:
5y+16
Step-by-step explanation:
like terms y and y
7y-2y
9+7
5y+16
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
rlly need help on this who ever answers correctly I'll give BRAINLIEST
Answer:
the answer is found at option D
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).
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: