Answer:
[tex]4,080grams[/tex]
Step-by-step explanation:
the formula for density is:
[tex]d=\frac{m}{V}[/tex]
where d is density, m is mass, and V is volume.
solving for m in the last equation:
[tex]m=d*V[/tex]
so if we find the volume and multiply it by the density [tex]d=8.3gr/cm^3[/tex] we will get the mass of the object.
The volume of a rectangular prism is given by:
[tex]V=l*w*h[/tex]
where [tex]l[/tex] is length, [tex]w[/tex] is width and [tex]h[/tex] is height:
[tex]l=5in\\w=3in\\h=2in[/tex]
we substitute to find the volume:
[tex]V=5in*3in*2in\\V=30in^3[/tex]
since the density has units of [tex]cm^3[/tex] we need the volume also in units of [tex]cm^3[/tex] , so we make the conversion using:
[tex]1in^3=16.3871cm^3[/tex]
multiplying by 30:
[tex]30in^3=491.612cm^3[/tex]
and now we find the mass with the equation:
[tex]m=d*V[/tex]
substituting d and V:
[tex]m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr[/tex]
the nearest gram is: [tex]4,080grams[/tex]
The graph represents revenue in dollars as a function of greeting cards sold.
A coordinate plane showing Greeting Card Revenue, Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. A line starts at (0. 0) and passes through (2, 8), (4, 16), and ends at (5, 20).
Which equation represents the function shown on the graph?
y = x
y = x
y = 2x
y = 4x
Answer: The equation that represents the graph is y=4x.
Step-by-step explanation: If you plug in just one coordinate in each equation, you will find that these are the following outcomes no matter which coordinate you pick(but I'm picking (2,8) for your view):
y=x , 8=2
y=x , 8=2
y=2x , 8=4
y=4x , 8=8(ONLY CORRECT STATEMENT)
Answer:
y= 4x
Step-by-step explanation:
Eight swimmers participate in a race in how many ways can the swimmers finish in first second and third place an it be answered using combinations or permutations
Answer:
336
Step-by-step explanation:
To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.
In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.
We use the following formula:
[tex]P=\frac{n!}{(n-r)!}[/tex]
where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.
n = 8
and
r = 3
thus the number of permutations is given bt:
[tex]P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336[/tex]
the answer is that there are 336 ways in which the swimmers can finish in first second and third place
In the decimal 2.1738 the 7 is in the _____place
Answer:
hundreth's place
Step-by-step explanation:
see attached for explanation
Compute |2+8i|.
Need help
Answer:
Step-by-step explanation:
|2+8i|=√(2²+8²)=√(4+64)=√68=2√17
Answer:
2[tex]\sqrt{17\\[/tex]
Step-by-step explanation:
N/5 = -1/5 what is n?
Answer:
n = -1
Step-by-step explanation:
→The fraction [tex]\frac{n}{5}[/tex] is really just [tex]\frac{1}{5}n[/tex]:
[tex]\frac{1}{5}n = \frac{-1}{5}[/tex]
→To get n by itself, you must multiply both sides by the reciprocal of [tex]\frac{1}{5}[/tex], which is 5:
5 · [tex]\frac{1}{5}n = \frac{-1}{5}[/tex] · 5
n = -1
What is the general form of the equation of the line shown?
Answer:
x - y = 0
Step-by-step explanation:
The given line is y = x.
We could re-write this as x - y = 0, which is in general form.
If a price decreases by 20% I can calculate 20% of the price and subtract it from the original price or I can calculate it in one step and find blank percent of the original price
Answer:
both statements are fine
Step-by-step explanation:
To find the price of a product after decreasing it, they can be done in the two ways that the statement tells us,
First, calculate that% that was decreased and then subtract it from the original price or simply multiply that original price by the percentage in which the new price would remain.
For example:
let "x" be the original price
in the first case it would be:
0.2 * x and then subtract from x, i.e .:
x - 0.2 * x
in the second case it is:
1 - 0.2 = 0.8
that is, the new price would be 0.8 * x
PLEASE HELP 10 Points!!!!
Use the given measurements on the triangle to write the following trig ratios and answer the question that follows Please help!
Answer:
1. sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
2. We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other
Step-by-step explanation:
For Part 1
With knowledge of SOH CAH TOA
Sin = Opp/Hyp
Cos = Adj/Hyp
Tan = Opp/Adj
So:
sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
For Part 2
We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other
what is 3.9/5.9 reduced to its lowest form
Answer:
About 0.66 or in fraction form 2/3
Step-by-step explanation:
You divide 3.9 by 5.9
Answer:
39/59
Step-by-step explanation:
3.9 / 5.9
Multiply the top and bottom by 10 to clear the decimals
3.9*10 / 5.9 * 10
39/59
Since 59 is prime, this is the simplest form
EXERCISE
A ball is drawn randomly from a bag containing 8 red, 4 blue and 2 green identical balls. Find the probability that the ball drawn is not red.
What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?
A bag contains four red balls, five blue balls and six green balls. Three balls are drawn from the bag at random without replacement. What is the probability that all three are:
The same colour
Different colour
Answer:
1)The probability that the ball drawn is not red is 6 /14
2)Probability of getting either a prime or a multiple of 3 is 7/10
3)Probability of drawing three balls without replacement such that all three are Same colour is 0.0747
Probability of drawing three balls without replacement such that all three are different colour is 0.5
Step-by-step explanation:
1) A ball is drawn randomly from a bag containing 8 red, 4 blue and 2 green identical balls. Find the probability that the ball drawn is not red.
No. of red balls = 8
No. of blue balls = 4
No. of green balls = 2
Total no. of balls = 8+4+2=14
P(Getting red bal)=[tex]\frac{8}{14}[/tex]
P( ball drawn is not red) = [tex]1 - \frac{8}{14}=\frac{6}{14}[/tex]
So,the probability that the ball drawn is not red is 6 /14
2)What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?
Numbers : 1 ,2,3,4,5,6,7,8,9,10
Prime numbers: 2,3,5,7 = 4
Multiple of 3 = 3,6,9 =3
So, Probability of getting prime number =[tex]\frac{4}{10}[/tex]
Probability of getting multiple of 3 =[tex]\frac{3}{10}[/tex]
So, Probability of getting either a prime or a multiple of 3=[tex]\frac{4}{10}+\frac{3}{10}=\frac{7}{10}[/tex]
Hence Probability of getting either a prime or a multiple of 3 is 7/10
3)A bag contains four red balls, five blue balls and six green balls. Three balls are drawn from the bag at random without replacement. What is the probability that all three are:
The same colour
Different colour
No. of red balls = 4
No. of blue balls = 5
No. of green balls = 6
Total balls = 15
Case 1 :all three are Same colour
So, probability of drawing three balls without replacement such that all three are Same colour = [tex]\frac{4}{15} \times \frac{3}{14} \times \frac{2}{13}+\frac{5}{15} \times \frac{4}{14} \times \frac{3}{13}+\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13}=0.0747[/tex]
So, probability of drawing three balls without replacement such that all three are different colour =[tex]\frac{4}{10} \times \frac{5}{9} \times \frac{6}{8}+\frac{5}{10} \times \frac{4}{9} \times \frac{6}{8}+\frac{6}{10} \times \frac{5}{9} \times \frac{4}{8}=0.5[/tex]
So,probability of drawing three balls without replacement such that all three are Same colour is 0.0747
So,probability of drawing three balls without replacement such that all three are different colour is 0.5
Solve for x. Enter the solutions from least to greatest.
x2 – X – 12 = 0
Answer:
[tex]x=-3,4[/tex]
Step-by-step explanation:
Factorise in order to reveal factors.
[tex]x^2-x-12=0\\(x-4)(x+3)=0[/tex]
show that x^2-8x+20 can be written in the form (x-a)^2+a. Where a is an integer
Answer:
(x - 4)^2 + 4
Step-by-step explanation:
x^2 - 8x + 20
= x^2 - 2*4*x + 16 + 4
= x^2 - 2*4*x + 4^2 + 4
= (x - 4)^2 + 4
= (x - a)^2 + a, with a = 4
Hope this helps!
Find the value of x.
need the answer today please.
Thank you.
Answer:
x =8.34654305
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 33 = 7/x
Switching places with the x and the 33
x = 7/ cos 33
x =8.34654305
Answer:
↓ Look below ↓
Step-by-step explanation:
You are given the adjacent side and need to find the hypotenuse. You can use cos to figure this out.
[tex]cos33 = \frac{7}{x}[/tex]
→To get rid of the x in the denominator, multiply everything by x:
[tex]x(cos33 = \frac{7}{x})[/tex]
[tex]xcos33 = 7[/tex]
→Divide both sides by cos33:
x = 8.346
→If it is round to nearest tenth:
x = 8.3
→If it is round to nearest hundredth:
x = 8.35
Share $50 among Tom, Larry and Jim in the ratio 4:7:9. How much money does JIM get?
Answer:
$22.5
Step-by-step explanation:
4x+7x+9x=5020x=50x=2.5Jim gets 9*2.5= $22.5
$50/20=2.5
2.5*4=10
2.5*7=17.5
2.5*9=22.5
Jim gets $22.50
The weather forecaster says that there is an 80% chance of rain today. Which statement describes the likelihood that it will rain today?
3x/3=? I WILL MARK U BRAINLIST!!!!!
Answer:
3 x 3 =9
Step-by-step explanation:
9
Answer: x
Step-by-step explanation: When dividing 3x by 3, the 3's will cancel each other out simply leaving us with our variable, x.
Plzzzz help I’ll give Brainiest to whoever gives me the answer!!!!!
Answer:hello
Because negative can't go under the radical 2
For example we can't find two number that multiplication of them be negative. 2×2=4,-2×-2=4.
I'll hope that l explane for you weel
Step-by-step explanation:
The body and head of a fox measure 19 ⅘ inches, and its tail measures 10 ⅘ inches. Whatis the total length of the fox?
Answer:
The total length of the fox is 30 3/5 inches
Step-by-step explanation:
Here, we are interested in calculating the total length of a fox, given the length of its head and body and also the length of its tail.
Mathematically, the total length of the fox = length of its head and body + length of its tail
length of the head and body = 19 4/5
length of its tail = 10 4/5
Plugging these values into the equation, we have;
19 4/5 + 10 4/5
99/5 + 54/5 = (99 + 54)/5 = 153/5 = 30 3/5 inches
I really need help pleaseeeee answer
Answer: 80 cm^3.
Step-by-step explanation: V = Bh V = 8 cm ⋅ 10 cm V = 80 cm^3.
What is the length of the hypotenuse of the triangle?
Answer:
26 ft
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
10^2+24^2 = c^2
100 +576 = c^2
676 = c^2
Take the square root of each side
sqrt(676) = sqrt(c^2)
26 = c
Answer:
26 ft
Step-by-step explanation:
Pythagoras theorem
a^2+b^2=c^2
10^2+24^2=676
square root of 676= 26
Kill’em Dead Pest Control needs to set out 5 roach motels per square yard. In a rectangular studio apartment that’s 7 yards by 4 yards wide, about how many roach motels will need to be set out?
Answer:
113 moteis
Step-by-step explanation:
A = 7 x 4 = 28 yards^2
1 yard - 0,9 m
1 yard^2 - 0,81 m^2
28 yards^2 - A
A = 28 x 0,81 = 22,68m^2
22,68 x 5 = 113,4
113 moteis
Answer:
140
Step-by-step explanation:
because it is
A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink.
What does P(A or B) = 0.45 mean in terms of this problem?
A. The probability that a customer buys a taco, a drink, or both is
45%.
B. Buying a taco and buying a drink are mutually exclusive events.
C. The probability that a customer buys neither a taco nor a drink is
45%.
D. The probability that a customer buys both a taco and a drink is
45%.
Answer:
The probability that a customer buys a taco, a drink, or both is 45%.
Step-by-step explanation:
apeeex
P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The value of the probability of an event must lie between the interval of [0, 1].
A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink
P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ5
Please help me with my math question!!!
Answer:
No because it doesn't show the angle?
Step-by-step explanation:
a cube aquarium without alid its internal edge length is 20 cm if the aquarium is made of glass where the thickness of glass is 0.75 cm find the volume of glass
Answer:
Multiply 20 x 0.75 = 15
Step-by-step explanation:
A cell phone company charges $60 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?
Answer:[tex]c=60+0.05d[/tex]
Step-by-step explanation:
Given
Company charges [tex]\$60[/tex] for [tex]1\ GB[/tex] data
and charges [tex]\$0.05/MB[/tex]
If c is the total cost and d represent no of additional megabyte then
Cost is given by the sum of fixed price + additional data charge
[tex]c=60+0.05\times d[/tex]
Therefore final charge is given by
[tex]c=60+0.05d[/tex]
find an expression for the nth term of the sequence 1,5,11,19,29
Answer:
Step-by-step explanation:
1,5,11,19,29
the series of numbers :
A 2-A 1 = 5–1=4
A 3-A 2 = 11–5=6
A 4-A 3 =19–11=8 the third term is 8
A 5-A 4= 29-19= 10 the forth term is 10
nth term is 4+(n-1)2.
Which statements are true about triangle ABC and it’s translated image, A’ B’ C’
Answer:
The last one is the answer
Step-by-step explanation:
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
1. Subtract 2 from both sides.
2. Multiply both sides by 2.
3. Take the square root of both sides.
4. Subtract 5 from both sides.
Answer:
Subtract 2 from both sides
Multiply both sides by 2
Take the square root of both sides
Subtract 5 from both sides
Step-by-step explanation:
Please refer to the picture attached.
The sum of the measures of the exterior angles of an n-gon, one at each vertex, is ____
Answer:
The question is asking to complete the passage about the sum of angle of the exterior angles of an n-gon, one at each vertex, and i would say that it should be 360 degree.
Step-by-step explanation: