1. Calculate the value of 8. 1 × 103 − 2. 4 × 102 in standard form.
2. Blood comprises 8% of the weight of a human. Amy weighs 40kg. Find the weight of her blood.
Step-by-step explanation:
1. We need to find the value of 8.1 × 10³ − 2.4 × 10² in standard form.
We can also write its as :
8.1 × 10³ − 2.4 × 10²
81000 − 240
Standard form = 80760
2.
Amy's weight = 40 kg
Blood comprises 8% of the weight of a human.
Weight of her blood,
[tex]W=8\%\ of\ 40\\\\=\dfrac{8}{100}\times 40\\\\=3.2\ kg[/tex]
So, the weight of her blood is equal to 3.2 kg.
triangle abc is similar to triangle fgh solve for x
Answer:
A= 24
Step-by-step explanation:
First find the scale factor. so the scale factor for these two triangles is 1.5.
21 / 14 = 1.5
18 / 12 = 1.5
So you are going to multiply 16 x 1.5
That will give you 24.
6. A particle is moving on a straight line such that a(t) = cost, s(0) = 0, v(0) = 5.
Find the position s(t) of the particle.
Step-by-step explanation:
St3-623t+4St3-623t+4V=St3-623t+4V=dsSt3-623t+4V=dsdtSt3-623t+4V=dsdtSo 3t²12 + 3 = vSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sv=3(2)² - 12 x 2+3=-9ms-1So i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap
Answer:
3x - (15 x 3) = 90
or
3x - 45 = 90
Explanation:
There are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45
Therefore, the first part is 3x - 45
We also know that in the end we have 90 left.
So our final equation is:
3x - 45 = 90
What is the range of the function f(x) = -3x + 1 when the domain is {-2, 0, 3}?
A. all real numbers
B. {-31, -29, -32}
C. {7, 1, -8}
D. {-5, 1, -8}
Answer:
Solution given:
f(x) = -3x + 1
f(-2)=-3×-2+1=7
f(0)=-3×0+1=1
f(3)=-3×-3+1=-8
So
Range is {7,1,-8) is a required answer
i need help quick its due today please help show WORK and how to do it . NO links
a - 5 = -12
Answer:
a = -7
Step-by-step explanation:
a - 5 = -12
+5 +5
a = -7
Answer:
a = -7
Step-by-step explanation:
First, we have to make both sides equal. We do this by isolating the variable a. When we add 5 to -12, it becomes -7.
What is the volume of this 3 dimensional figure
Answer: 2496in³
Step-by-step explanation:
To find volume, multiply the numbers by length, width, and height.
In this case, 24 is the length, 8 is the width, and 13 is the height.
24 × 8 × 13 = 2496 inches ³ (cubed).
Answer:
option C 2496
Step-by-step explanation:
you multiply 13 by 24 by 8
PLS HELP EASY QUESTION TYSM IF U HELP
Answer
c.
Step-by-step explanation:
4.50 + 4.50 = 9.00
and so on
Kristen needs to earn $320 in commission this week. She earns 8%
what she sells at the electronics store. How many dollars worth of
merchandise does she need to sell? Round to the nearest dollar. *
Edison, Xiu, and Amia are childhood friends who go to different high schools. They were wondering if there's
a difference between their schools in the number of friends people have on social media.
They each surveyed a random sample of students from their schools, asking for the number of friends they
have on social media. Here are the results:
They want to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to students from Edison's school that have more
than 300 friends?
You may round your answer to the nearest hundredth.
Expected:
Answer:
22.33
Step-by-step explanation:
khan
What is the measure of the inscribed arc whose inscribed angle measures 36 degrees?
A. 36 degrees
B. 72 degrees
C. 108 degrees
D. 18 degrees
Answer:
b
Step-by-step explanation:
Answer:
it is A. or B.
Step-by-step explanation:
what should be subtracted from -5/3 to get 5/6
Answer:
-3/4-x=5/6
x=-3/4-5/6
x=-3*6-5*4/6*4
x=-18-20/24
x=-38/24
x=-19/12
Step-by-step explanation:
hope it helps
stay safe love u
btw can i get brainliest
Answer:
-5/3 - x = 5/6
-x = 5/6 +5/3
-x/-1 = (5/2)/-1
therefore x = -5/2
therefore -5/2 must be subtracted
Annie buys some greeting cards. Each card costs $1.75. She pays with a twenty dollar bill.
Let n represent the number of greeting cards Annie buys. Write an expression that represents
the amount of change Annie should receive.
Enter your expression in the space provided.
Answer:
Step-by-step explanation:
Find the area of the shape.
Answer:
area = 72 yd²
Step-by-step explanation:
area = (4 x 10) + (4 x 8) = 72 yd²
A jar has 28 cherry-flavored candies, 19 strawberry-flavored candies, 20-orange flavored candies, and 33 lemon-flavored candies. If a candy is taken from the jar at random, what is the probability that it will be a cherry-flavored cnady?
Answer: 7/25 or 28%
Step-by-step explanation:
28 (cherry) + 19 (strawberry) + 20 (orange) + 33 (lemon) = 100 (total)
so p(cherry), or the probability of getting cherry, is 28/100 (7/25)
that as a percent is 28%
True or False?
When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. (4 points)
Answer:True
Step-by-step explanation: I did a quiz on it
Answer:
it is true am I right of this question
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer:
a
Step-by-step explanation:
PLEASE HELP ASAP SHOW WORK PLEASE!!!!
Answer:
The limit is -1
Step-by-step explanation:
As shown by the equation, it shows x -> -1
which represents x approaching the limit of -1
Andre and Mai are discussing how to solve for side AB. Andre thinks he can
use the equation tan(12 degrees)=x/6 to solve for AB. Mai thinks she can use
the equation tan(78 degrees)=6/x to solve for AB. Do you agree with either of
them? Show or explain your reasoning.
Answer:
Both Andre and Mai are correct
Step-by-step explanation:
A drawing of the the triangle ΔABC is created with MS Visio and attached here
In the drawing, we have;
Segment AB = x
Segment AC = 6
By trigonometric ratio, in a right triangle we have;
[tex]Tan(\angle X) = \dfrac{The \ length \ of \ the \ opposite \, side \ to \ \angle X }{The \ length \ of \ the \ adjacent\, side \ to \ \angle X}[/tex]
Where 'X' = 12° as shown in the figure, we have;
[tex]tan(12 ^{\circ}) = \dfrac{AB}{BC} = \dfrac{x}{6}[/tex]
Therefore, Andre is correct
Similarly, we have;
[tex]tan(78 ^{\circ}) = \dfrac{BC}{AB} = \dfrac{6}{x}[/tex]
Therefore, Mai is also correct
Therefore, Andre and Mai are correct.
What is the difference of the polynomials?
(x2 - 6x + 2) - (3x? – 7x-8)
Paul has 16 baseball cards and 12 Pokémon cards. What is the ratio of baseball to Pokémon?
Answer:
16:12
Step-by-step explanation:
This is the right answer because 16 baseball cards is the most to 12 Pokemon cards as the least or smallest
Answer:
The answer is 16:12
The answer is 16:12, but if it needs to be simplified then the answer would be 4:3
You receive a $7000 gift which you want to invest for 4 years. How much money would you have in the bank account if the interest rate is 12% and is compounded continuously?
Answer:
The final balance is £11,285.58.
The total compound interest is £4,285.58
Step-by-step explanation:
hope that's right and it helps you
also please tell me If I got it right or wrong
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.
Answer:
Step-by-step explanation:
P = £1100
r = 5%
t = 6 years
I =P*r*t
[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]
Amount = P + I = 1100 + 330 = £1430
The temperature was 14`°F`. If the temperature dropped 5 degrees every hour for 4 hours, what is the temperature after the 4 hours? Which equation could represent this situation?
Answer:
-6F
Step-by-step explanation: It would be 5F(4hr) = 20F. So if you have 14F subtract 20F you get -6F. Hope this helped.
ANSWER ASAP I WILL MAKE BRAINLYIST
solve 2x+2y=-4, 6x-2y=12 using Elimination
NO LINKS (i need the steps not just the answer)
Answer:
2x+2y=-4
since we don't know the value of the letters, we could ignore it. then we add 2+2 which equals 4
6x-2y=12
In this case this equation is incorrect.
Step-by-step explanation:
sorry if I'm incorrect
(please if I'm correct, I really need the brainliest)
Answer:
(1,-3)
or
x=1 y= -3
Step-by-step explanation:
Looking at this we can see that there's a 2y in both of the equations (one is negative while the other is positive and so we'll add them)
so we have
(2x+2y)+(6x-2y)= -4+12
this simplifies to
8x=8
x=1
We know that x=1 and so we will plug this back into one of the two equations
2(1)+2y= -4
2+2y= -4
2y= -6
y= -3
Therefore the solution is (1,-3)
Find the area of the following rectangle. Type out al work
Step-by-step explanation:
[tex]area = length \times width \\ = (4x + 3) \times (2x + 2) \\ = ( {8x}^{2} + 8x + 6x + 6) \\ = ( {8x}^{2} + 14x + 6) \: {units}^{2} [/tex]
Answer:
[tex](8x + 14x + 6)^{2}[/tex]
Step-by-step explanation:
Area of a rectangle is length x breadth
In the given figure, the length is 2x + 2 and breadth is 4x + 3
So, the area would be:-
(2x + 2) (4x + 3)
[tex]8x^{2}[/tex] + 6x + 8x + 6
So the area would be => [tex](8x + 14x + 6)^{2}[/tex]
Lin says that the inequalities LaTeX: h>150h > 150 and LaTeX: h<160h < 160 describe her height in centimeters.
What do the inequalities tell us about her height?
Can you guys help me!!!!!!!
Answer:
Lin is between 150 and 160 cm
Step-by-step explanation:
The height is represented by the inequality :
h > 150 and h < 160
h > 150 - - (1)
h < 160 - - - (2)
Combining the two :
h > 150 means 150 is less than h but h is not upto 160
Thus, we have ;
150 < h < 160
This means height, h occurs between the range ; 150 cm and 160 cm
Someone pls help me I’ll mark brainliest
Answer:
option 4
Step-by-step explanation:
it can't be greater or equal to so mark off the other ones and we also don't know how many games he played so put a variable beside that 2.5 hope this helps
What is the value of this expression when x= -4 and y= 64? -437 + 12 O A O OB. OC. OD. -48
Nikki grows 20 tomato plants.
She measures their heights to the nearest centimetre, and writes them down.
Answer:
5 ≤ h < 10 = 2
10 ≤ h < 15 = 6
15 ≤ h < 20 = 10
20 ≤ h < 25 = 2