Given the number of firefighters and the average salary, the total salary altogehter is about $1.35 x 10^10
What is scientific notation?Scientific notation is used simplify large numbers into smaller numbers. In order to transform a number into a scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
3 x 10^5 x 4.5^4 = 13.5 x 10^9
= 1.35 x 10^10
To learn more about scientific notation, please check: brainly.com/question/25334755
Joseph is shopping for school supplies. He can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76. Which is a better buy? Explain your reasoning.
Answer:
the better one to buy is a box of 36 pens for $5.76. because it is cheaper per pen.
Step-by-step explanation:
4.32 / 24 = 0.18 cents a pen
5.76 / 36 = 0.16 cents a pen
3sinA=4cosA so find tansquareA_sinsquareA
Step-by-step explanation:
Do you mean?
[tex] \frac{ { \tan(x) }^{2} }{ \ { \sin(x) }^{2} } [/tex]
If so:
[tex]3 \sin(x) = 4 \cos(x) \\ \frac{3 \sin(x) }{ \cos(x) } = 4 \\ \frac{ \sin(x) }{ \cos(x) } = \frac{4}{3} \\ \tan(x) = \frac{4}{3} [/tex]
Did the question specify which quadrant? I'm just going to assume that it's the first
(as tangent = opp/adj)
hence
Hypotenuse:
[tex] \sqrt{{3}^{2} + {4}^{2} } = 5[/tex]
[tex] \sin(x) = \frac{4}{5} [/tex]
Finally,
[tex] \frac{ { \tan(x) }^{2} }{ { \sin(x) }^{2} } = \frac{ { \frac{4}{3} }^{2} }{ { \frac{4}{5} }^{2} } \\ = 2 \frac{7}{9} [/tex]
Use the distributive property to remove the parentheses -8(3v-w-4)
What is the value of the expression x2+(2+x5) when x=15.
Answer:
759,602
Step-by-step explanation:
Evaluate (x^5 + 2) + x^2 where x = 15:
(x^5 + 2) + x^2 = 15^2 + (15^5 + 2)
| 1 | 5
× | 1 | 5
| 7 | 5
1 | 5 | 0
2 | 2 | 5:
225 + 2 + 15^5
15^5 = 15×15^4 = 15 (15^2)^2:
225 + 2 + 15 (15^2)^2
| 1 | 5
× | 1 | 5
| 7 | 5
1 | 5 | 0
2 | 2 | 5:
225 + 2 + 15×225^2
| | 2 | 2 | 5
× | | 2 | 2 | 5
| 1 | 1 | 2 | 5
| 4 | 5 | 0 | 0
4 | 5 | 0 | 0 | 0
5 | 0 | 6 | 2 | 5:
225 + 2 + 15×50625
| 5 | 0 | 6 | 2 | 5
× | | | | 1 | 5
2 | 5 | 3 | 1 | 2 | 5
5 | 0 | 6 | 2 | 5 | 0
7 | 5 | 9 | 3 | 7 | 5:
225 + 2 + 759375
| | | | 1 | 1 |
| 7 | 5 | 9 | 3 | 7 | 5
| | | | 2 | 2 | 5
+ | | | | | | 2
| 7 | 5 | 9 | 6 | 0 | 2:
Answer: 759602
Answer:
759,602
Step-by-step explanation:
In this problem you would replace the x with 15 and break down the answer.
[tex]x^{2} +(2 + x^{5} )[/tex] = [tex]15^{2} + (2 + 15^{5} )[/tex]
Now that you know the equation, break it down.
15² = 225
225 + (2 + [tex]15^{5}[/tex])
After rewriting the equation, do the work inside the parenthesis.
(2 + [tex]15^{5}[/tex]) = (2 + 759,375) = 759,377
The equation will now look like this.
225 + (759,377)
Solve!
759, 602
A culture of bacteria has an initial population of 12000 bacteria and doubles every 6 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 17 hours, to the nearest whole number?
Answer:
85,524 bacteria
Step-by-step explanation:
Given the population of bacteria modelled by the equation where;
[tex]P_t = P_0\cdot 2^{\frac{t}{d}[/tex]
P0 is the initial population
t is the time in hours
d is the doubling time
If the culture of bacteria has an initial population of 12000 bacteria, this means that;
at t = 0, P0 = 12000
substitute into the modelled function
[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\P_t = 12000\cdot 2^{\frac{0}{d}\\\\\\P_t =12000\cdot 2^{0}\\\\P_t = 12000[/tex]
If the population doubles every 6 hours
at t = 6, Pt = 24000
[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\\\24000 = 12000\cdot 2^{\frac{6}{d}\\\\\\\\24000/12000 = 2^{\frac{6}{d}\\\\\\\\[/tex]
[tex]2 = 2^{\frac{6}{d} }\\1 = 6/d\\d = 6\\[/tex]
Next is to get the population of bacteria in the culture after 17 hours
at t = 17, Pt = ?
[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\P_t = 12000\cdot 2^{\frac{17}{6}\\\\\\\\P_t = 12000\cdot 2^{ 2.833 }\\P_t = 12000\cdot 2^{ 2.833 }\\P_t = 12000 * 7.127\\P_t = 85,524.3[/tex]
Hence the population of bacteria in the culture after 17 hours, to the nearest whole number is 85,524 bacteria
Answer:Pt 85526.2769 = 85526
Step-by-step explanation:
How do I slove this eqaution, and whats the answer?
-3(n+6)+10=-9
Answer:
[tex]n = \frac{1}{3}[/tex]
Step-by-step explanation:
Apply the distributed property, so it now looks like this: -3n + -18 + 10 = -9Combine like terms: -3n + -8 = -9Simplify: -3n - 8 = -9Add 8 to each side, so it now looks like this: -3n = -1Divide each side by -3 to cancel out the -3 next to n. It should now look like this: n = 1/3I hope this helps!
Choose all the number sentences that have a difference less than 7,650?
A) 12,355 – 4,575
B) 19,345 – 12,000
C) 21,675 – 13,055
D) 24,356 – 18,560
E) 10,500 – 3,560
Please evaluate the given equation, and then see how many solutions the equation has. No. 1
here I am! dunno if this is the question you meant but you haven't gotten an answer here yet.
Answer:
B) Exactly one solution. (-3.5)
Step-by-step explanation:
5x + 8 - 7x = -4x + 1
combine like terms
5x - 7x + 8 = -4x + 1
-2x + 8 = -4x + 1
add 4x to both sides
-2x + 4x + 8 = -4x + 1 + 4x
2x + 8 = 1
subtract 8 from both sides
2x + 8 - 8 = 1 - 8
2x = -7
divide both sides by 2.
x = -3.5
3.5, clearly, is only one number.
A taxi ride cost a flat fee of of $5.00 plus an additional $1.75 per mile. How many miles would a person
travel if they paid $15.50?
Answer:
6 miles
Step-by-step explanation:
15.50-5 is 10.50 and 10.50/1.75 is 6
hope this helped also could i get brainliest?
Which equation could be represented by the number line?
A. -5 + 6 = 1
B. -6 + 5 = -1
O c. 1 +(-7) = -6
D. 1 + (-6) = -5
Help!!!
Answer:
I think it’s C
Step-by-step explanation:
Susan received $27 for 6 hours of work. Ricky received $14.25 for 3 hours of work. Which statement is true about there hourly rate? Answer choices: A:Susan's rate was closer to $5.00 B:Susan's rate was $0.70 more per hour C: Rickys rate was 0.25 more per hour D:Ricky was paid at half Susan's rate
Answer: C. Rickys rate was 0.25 more per hour" .
Step-by-step explanation:
Susan received $27 for 6 hours of work. Susan's rate we hour will be:
= $27/6
= $4.5
Ricky received $14.25 for 3 hours of work. Ricky's rate will be:
= $14.25/3
= $4.75
From the option given, the correct option is C "Rickys rate was 0.25 more per hour" .
This is because $4.75 - $4.5 = $0.25
2. JI. has coordinates J(-6, 1) and Z(-4, 3). Find the coordinates of the midpoint.
Answer:
(- 5, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus
midpoint = [tex]\frac{-6-4}{2}[/tex], [tex]\frac{1+3}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )
Please help me with this and show the steps. Will give brainliest if correct.
Answer:
X =1/(b2x+2b)
Step-by-step explanation:
bx2 +2x +1/b = 0
bx2+2x=1/b
bx2(b) +2bx = 1
x(b2x+2b)=1
x=1/(b2x+2b)
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets
Answer:
Y= 12.5+X
Step-by-step explanation:
Y=43.75
X=1.25x25=31.25
so 43.75 minus 31.25= 12.5
he spent 12.5 on fair addmition
what the answer and how you got it
-2x/7=3x-46
Answer:
x=14
Step-by-step explanation:
-2x/7=3x-46
7(-2x/7)=7(3x-46)
-2x=21x-322
-23x=-322
x=14
write the decimal expansion of 16 by 3125
Answer:
That will be 0.00512
An object is thrown off a 256-foot-tall building, and the distance of the object from the ground is measured every second. The function that models the height, h, of the object after t seconds is h(t) = –16t2 + 96t + 256. Determine the time when the object hits the ground
Answer:
The object hits the ground 8 seconds after launch.
Step-by-step explanation:
Let [tex]h(t) =-16\cdot t^{2}+96\cdot t + 256[/tex], where [tex]h[/tex] is the height of the object above the ground, measured in feet, and [tex]t[/tex] is time, measured in seconds. We notice that given expression is a second-order polynomial and hence, there are two roots, one of them corresponding to the instant when the object hits the ground. If [tex]h(t) = 0[/tex], we get the following expression:
[tex]-16\cdot t^{2}+96\cdot t +256 = 0[/tex] (Eq. 1)
Roots are found by applying the Quadratic Formula:
[tex]t_{1,2} = \frac{-96\pm\sqrt{96^{2}-4\cdot (-16)\cdot (256)}}{2\cdot (-16)}[/tex]
[tex]t_1 = 8\,s[/tex] or [tex]t_{2} = -2[/tex]
Only the first root offer a solution that is physically reasonable. Thus, the object hits the ground 8 seconds after launch.
how would you substitute this equation?
If y = x and y = z, then by substitution we can say x = z.
In this case, substitution gives us
-1/2 x - 2 = -3/2 x + 2
and we can solve for x :
3/2 x - 1/2 x = 2 + 2
x = 4
then solve for y :
y = -1/2 x - 2
y = -1/2 * 4 - 2
y = -2 - 2
y = -4
if a and b are integers,what conditions would make a×b > 0?
Answer:
a and b must be positive integers
Step-by-step explanation:
for example- a= (+1)x(+2)
= (+2)
= (+2)>0
= axb>0
Thank U
What is 1 3/4 divided by 3?
Answer:
7/12 is the answer
2x + y = 7
this is my first day in algebra and i have no clue how to solve a literal equation
Answer:
y = 7 - 2x
Step-by-step explanation:
Step 1:
2x + y = 7 Equation
Step 2:
y = 7 - 2x Subtract 2x on both sides
Answer:
y = 7 - 2x
Hope This Helps :)
An expert diver is looking for a particular species of fish along the coast line. He dives 25 feet below the surface of the ocean. Then he dives down 10 more feet. He swims back up 7 feet and down another 3 feet before he finds the species of fish he is looking for. What was the depth at which the diver finds the fish?
Answer:
31
Step-by-step explanation:
Depth Changes:
1. down 25 feet
2. down 10 feet
3. up 7 feet
4. down 3 feet
If we form this into an equation, we get:
25+10-7+3 = 31
Are BD and CE congruent? Explain.
Answer:
The answer is D: Yes, BD = 7 and CE = 7
Step-by-step explanation:
B--> -5
D --> 2
-5 + BD = 2
BD = 7
C--> 0
E --> 7
0+CE=7
CE = 7
The answer is D
Please help!
Four more than twice a number is –10.
(I have 15 mins!)
Answer: -7
Step-by-step explanation:
2X + 4= -10
2X= -10 -4
2X= -14
X= -7
On a snowy day, only 7/12 of the students attended Calvin Middle School. Among the students that missed school, about 4/5 students call the school to inform the school office. What was the fraction of all students that called in to inform the school about missing school this day?
Answer:
1/3 of all the students called in to inform the school about missing school this day
Step-by-step explanation:
4/5 = students that call the school to inform the school office
only 7/12 attended Calvin Middle School
To get the number of students that missed Calvin Middle School = 1 - number of students that attended Calvin Middle School
= 1 - 7/12 = (12-7) / 12
= 5 /12
The fraction of all students that called in to inform the school about missing school this day is:
5/12 x 4/5 = 1/3
80+1246√16
What is the answer please I only have 10 minutes left
Answer:
7556
Step-by-step explanation:
Can You Please give me a Brainlies or how ever you spell it
Answer:
5304
Step-by-step explanation:
80+1246√16
= 1326√16
= 5304.
The local meteorologist claims that the temperature is going to steadily drop over the next 4 hours. If the temperature changes by the same amount each hour, and it changes by a total of -28°F, how much will it change each hour? Explain how you got your answer in two or more complete sentences. plz answer with a real answer will give brainlyest
Answer:
-7°F/hour.
Step-by-step explanation:
If the total change is -28°F, and we know it took 4 hours, we just have to divide the total change by hours taken to get the change per hour.
So we do the following: [tex]\frac{-28F}{4} = -7F/h[/tex]
So the temperature changes (drops) by -7°F/hour.
; the boy to girl ratio is 10 to 8. If there are 16 girls in the class, how many boys are there?
Answer:
There are 20 boys
Step-by-step explanation:
Arbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165. The equation represents the $495 total cost that Barbara paid to Dance Unlimited. 495 = 165 + 55m How many months, m, did Barbara receive dance lessons from Dance Unlimited?
Given:
Per month fee = $55
One-time recital fee = $165
The equation represents the $495 total cost that Barbara paid to Dance Unlimited.
[tex]495=165+55m[/tex]
To find:
We need to find the number of month Barbara receive dance lessons from Dance Unlimited.
Solution:
We have,
[tex]495=165+55m[/tex]
Here, m is number of months. We need to isolate m.
Subtract 165 from both sides.
[tex]495-165=55m[/tex]
[tex]330=55m[/tex]
Divide both sides by 55.
[tex]\dfrac{330}{55}=m[/tex]
[tex]6=m[/tex]
The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.
Solve for the indicated variable.
L = M - N for N