Answer:
Hanna converted the number:
0.00000305
to:
3.05x10^6.
Now, when we have:
Ax10^n
This will "move" the value of A n times to the left, adding zeros when the decimals of A run over.
if we have
Ax10^-n
This will move A n times to the right.
Then the number:
3.05x10^6 = 3050000
This is clearly not the number that Hannah wanted to write.
The problem is that the exponent should be negative, if we have instead:
3.05x10^-6
We move our number 6 times to the right, adding zeros when necessary.
3.05x10^-6 = 0.00000305.
So Hannah is incorrect, she should wrote 0.00000305 = 3.05x10^-6
Answer: D. Hannah is not correct because the exponent should be -6.
Hope this helps!
14. A manufacturer of lighting fixtures has daily production costs of C = 120 − 5x + 0.25x 2 , where C is the total cost (in dollars) and x is the number of units produced. How many fixtures should be produced each day to yield a minimum cost? What is that minimum cost?
Answer:
Value of x = 10
Minimum cost (C) = 45
Step-by-step explanation:
Given:
Equation:
120 - 5x + 0.25x²
Find:
Value of x
Minimum cost
Computation:
0.25x² - 5x + 120
x = -[b/2a]
x = -[(-5)/2(0.25)]
x = 10
Value of x = 10
Minimum cost (C) = 120 - 5x + 0.25x²
Minimum cost (C) = 120 - 5(10) + 0.25(10)²
Minimum cost (C) = 45
Studio fee:$8 per hour
Vase:$10
Answer:
x = hours spent8x+10 = 464.5 hoursStep-by-step explanation:
We are asked for the number of hours spent at the studio, so it is reasonable to let the variable x stand for the number of hours.
The total cost is ...
vase cost + hourly cost = total cost
where hourly cost = (# of hours)(cost per hour)
10 + 8x = 46
8x = 36 . . . . . . subtract 10
x = 4.5 . . . . . . . divide by 8
4.5 hours were spent at the studio.
write .0045 into a scientific notation
Answer:
To write 0,0045 in scientific notation, we will have to move the decimal point three point to right, which literally means multiplying by 1000=103 . Hence in scientific notation 0.0045=4.5×10−3 (note that as we have moved decimal three point to right we are multiplying by 10−3
Step-by-step explanation:
Name a line in the figure
Answer:
where is the figure????
nap......where is the figure?
which expression has the same value as 3y+2x
a. 3y+(-2x)
b.-2+3y
c.2x-(-3y)
d.-3y-2x
Answer:
Hey there!!
Your required answer is option C.
The reason is;
In option A when you simplify the signs, you will get it as 3y-2x.In option B it's totally not matching. In option C, when you simplify the signs, you will get as 2x + 3y {as( - )× (- )= (+)}.Option D is not matching.Therefore, the possible answer is option D.
Hope it helps...
daniel spent half of his paycheck on video games. to earn more money, he did chores at home and received $20. how much was his paycheck if he ended up with $56
Answer: His paycheck was $72.
Step-by-step explanation:
Let x = paycheck amount.
Given, Amount spent on video games = [tex]\dfrac x2[/tex]
Amount he has left of it = [tex]x-\dfrac x 2=\dfrac x 2[/tex]
Amount received = $20
Total amount amount he has left = [tex]\dfrac x 2 +20[/tex]
According to the question,
[tex]\dfrac x 2 +20 = 56\\\\\Rightarrow\ \dfrac x 2= 36\\\\\Rightarrow\ x= 2\times 36=72[/tex]
∴ His paycheck was $72.
simplify the fraction 56/100
how do you do this equation?
5y^2×3/4
calculate:
15/4y^2
alternate form:
3.75y²
solve the equation 2 3/5 × 1 3/7
Answer:
26/7
Step-by-step explanation:
[tex]2\frac{3}{5} * 1\frac{3}{7}[/tex]=
[tex]\frac{13}{5}* \frac{10}{3} =[/tex]
[tex]\frac{130}{35}[/tex]=
simplify= 26/7
The temperature was 8°F. It dropped so that the temperature was 0°F.
Answer:
It dropped 8 degrees so the answer must be -8
Step-by-step explanation:
The domain of the function f(x)=25/10x-20 is all rea numbers x excpet
Step-by-step explanation:
f(x) = 25 / (10x -20)
When 10x - 20 = 0, f(x) is undefined. Therefore x = 2 is not in the domain for f(x) to be a function.
Answer = 2.
look at image. reflection across the x-axis
Answer:
S 1,-1 R 1,-3 :)
Step-by-step explanation:
please help meeeee!!!!!!! complete the equation below. 5x+5x=10x____
Brainliest for correct answer
Answer:
Hey there!
The error in this congruence statement is that we don't know if these are actually congruent.
Saying that the triangles "look the same" simply isn't enough. We do know that all three angles are the same, but the AAA (Angle Angle Angle) postulate only works for similar triangles.
Additionally, even if they were congruent, it would still be triangle ABC ≅ triangle FED, not triangle DEF.
Let me know if this helps :)
Answer:
The wrote the order wrong so they are not congruent until you fix their mistake
Step-by-step explanation:
ABC~ FDE
Solve for b.
N = 2a²b
Answer:
N=2a2b
divide by 2a squared to get
b=N/2a2
What is the domain of the function on the graph?
all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to -2
all real numbers greater than or equal to -3
Answer:
Option (4)
Step-by-step explanation:
Domain:
Domain of function is defined by the x-values (Input values) on the graph.
Range:
Range of a function is defined by the y-values (output values) on the graph.
From the graph attached,
x-values are starting from (-3) to infinity.
Therefore, domain of the function will be all real numbers greater than equal to (-3).
Option (4) will be the answer.
What is the midpoint of a segment with endpoints at (-4,-8) and (8, 10)
Answer:
(2,1)
Step-by-step explanation:
Answer:
(2,1)
Step-by-step explanation:
ANSWER THIS QUICK!! IT¨S WORTH 46 POINTS
Answer:
The answer is option AStep-by-step explanation:
[tex] \frac{4\pi \sqrt{5} - 2\pi \sqrt{5} }{3 \sqrt{5} } [/tex]Simplify the numerator first
Since they have the same square root that's root 5 we can subtract them directly
That's
[tex]4\pi \sqrt{5} - 2\pi \sqrt{5} = (4\pi - 2\pi) \sqrt{5} \\ = 2\pi \sqrt{5} [/tex]So we have
[tex] \frac{2\pi \sqrt{5} }{ 3\sqrt{5} } [/tex]Reduce the expression with √5
We have the final answer as
[tex] \frac{2\pi}{3} [/tex]Hope this helps you
The equation d=m/v can be used to calculate the den
yes you are right, density formula is :
density = mass ÷ vol
d/6+f/3=4 solve for d
step by step and accurate answer plz
Answer:d/6+f/3=4 solve for d
step by step and accurate answer plz
Step-by-step explanation:d/6+f/3=4 solve for d
step by step and accurate answer plz
What is the solution to 4(s – 3) – 4= 4+8(2 – s)?
Enter your answer in the box.
S=
Answer:
11
Step-by-step explanation:
4(s-3)-4=4+8(3)
=4+24
=28
4s-12-4=28
4s-16=28
4s=28+16
4s=44
s=44/4
s=11
Which line has the greatest rate of change?
A. The line passing through (0, 2) and (4, 10)
B. The line passing through (0,5) and (2,8)
C. The line passing through (0,0) and (3,-4)
D. The line passing through (0,6) and (12,9)
Answer:
I thought it was the last one but I mean if it was wrong sorry
Greetings from Brasil....
The rate of change between 2 points is obtained through the expression:
m = ΔY/ΔXm = (Y₂ - Y₁)/(X₂ - X₁)a) (0, 2) and (4, 10) so, X₁ = 0; X₂ = 4; Y₁ = 2 and Y₂ = 10
m = ΔY/ΔX
m = (Y₂ - Y₁)/(X₂ - X₁)
m = (10 - 2)/(4 - 0)
m = 8/4 = 2
b) (0,5) and (2,8) so, X₁ = 0; X₂ = 2; Y₁ = 5 and Y₂ = 8
m = ΔY/ΔX
m = (Y₂ - Y₁)/(X₂ - X₁)
m = (8 - 5)/(2 - 0)
m = 3/2
c) (0,0) and (3,-4) so, X₁ = 0; X₂ = 3; Y₁ = 0 and Y₂ = - 4
m = ΔY/ΔX
m = (Y₂ - Y₁)/(X₂ - X₁)
m = (- 4 - 0)/(3 - 0)
m = -4/3
d) (0,6) and (12,9) so, X₁ = 0; X₂ = 12; Y₁ = 6 and Y₂ = 9
m = ΔY/ΔX
m = (Y₂ - Y₁)/(X₂ - X₁)
m = (9 - 6)/(12 - 0)
m = 3/12 ⇔ m = 1/4
Among all the values above, the largest is 2, so points
(0; 2) and (4; 10)
I’ll give brilliant if answered
Step-by-step explanation:
6 answer
[tex] \frac{4}{15} \div \frac{2}{5} [/tex]
[tex] \frac{4}{15} \times \frac{5}{2} [/tex]
[tex] \frac{8}{75} = 0.10667[/tex]
7 answer
[tex] \frac{9}{10} \div \frac{1}{6 } [/tex]
[tex] \frac{27}{5 } = 5.4[/tex]
[tex] \frac{9}{10} \times 6[/tex]
8 answer
[tex] \frac{20}{8} \div \frac{1}{15} [/tex]
[tex] \frac{20}{8} \times 15[/tex]
[tex] \frac{1}{6} = 0.1667[/tex]
9 answer
[tex] \frac{6}{7} \div \frac{9}{14} [/tex]
[tex] \frac{6}{7} \times \frac{14}{9} [/tex]
[tex] \frac{4}{3} = 1.33[/tex]
Ms. Anderson made a New year's resolution to go on a diet and exercise more. On January 1st , she weighed 160 pounds. Two months later, she had dropped to 136 pounds. What was the percent of decrease in her weight?
Answer: 15%
Step-by-step explanation:
From the question, we are informed that Mrs Anderson weighed 160 pounds earlier and two months later, she had dropped to 136 pounds. To. Calculate the percent of decrease in her weight goes thus:
We've to find her decrease in weight first. This will be:
= 160 pounds - 136 pounds
= 24 pounds
Percentage decrease will now be:
= Change in weight/Original weight × 100
= 24/160 × 100
= 0.15 × 100
= 15%
The percent of decrease in her weight is 15%.
a tree was 17 feet tall when it was planted . it grew 8 times that height in 15 years how much taller is the tree then when it was planted
Answer A tree was 17 feet tall when it was planted it grew eight times that height in 15 years how much taller is the tree than when it was planted
Step-by-step explanation:
Answer you will multiply 17 * 8 which would give you 136. Next you was subtract 17 from 136 giving you a total of 119
Step-by-step explanation:
15.0 is classified as?Select all that apply Natural Number Whole Number Integer Rational Number
Answer:
integers
Step-by-step explanation:
because integers are always in decimal form
Liz is using the distributive property to evaluate the expression 27 (36) by using friendlier numbers. Her work is shown below. Liz's Work 27(36) Step 1 27 (3 + 12) Step 2 27 (3) + 27 (12) Step 3 81 + 324 Step 4 405
Answer:
Step 1 should have been 27(6 + 30).
Step-by-step explanation:
Given that:
The evaluation of the expression 27(36) by using the distributive property as portrayed by Liz is as follows:
27 (36)
Step 1 = 27 (3+ 12)
Step 2 = 27(3) + 27(12)
step 3 = 81 + 324
Step 4 = 405
What was the first error that Liz made?
From the above first step, we will see that :
27(3+12) was given, which is wrong.
the right step that is supposed to be there is:
27(6 + 30).
so the calculation will be:
Step 1 = 27(6+30)
Step 2 = 27(6) + 27(30)
Step 3 = 162 + 810
Step 4 = 972
A dripping tap loses 10mL of water every 45 seconds. How much water
will be lost in 6 hours?
Answer:
4800 ml
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
Answer:
4.8 L
Step-by-step explanation:
6 hours = 6*60*60 seconds = 21600 seconds
10 mL - 45 seconds
x mL - 21600 seconds
x = (21600*10)/45=4800 mL
4800 mL = 4.8 L
A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density?
Answer:
Hey there!
Density = Mass/Volume
Mass= 6g
Volume=24 mL, which is 24 cm^3
Density= 6g/24 cm^3
Density=0.25 g/cm^3
Let me know if this helps :)
Answer:
0.25g/ml
Step-by-step explanation:
Mass=6g
Volume=24ml
Density=Mass/Volume
=6/24=1/4=0.25g/ml
Find the median of the following data.
46, 24,87, 64, 39, 50, 37, 48
Answer:
47
Step-by-step explanation:
46, 24,87, 64, 39, 50, 37, 48
First put the numbers in order from smallest to largest
24, 37, 39,46, 48,50,64,87
Then we notice that there are 8 numbers. The median is the middle
24, 37, 39,46 , 48,50,64,87
The middle is between 46 and 48
Take the average of these numbers
(46+48)/2 = 94/2 = 47
The median is 47
Answer:
49
Step-by-step explanation:
Fairly simple, line up the numbers in order from lowest to highest. Then find the middle two terms. Since we have 8 terms, we take the two in the center, 50 and 48 and add them together, then divide by two to get your median.