{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent
Answer:
The answer is 5³.
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]
[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]
[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]
So for this question :
[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = {5}^{10} \div {5}^{7} [/tex]
[tex] = {5}^{3} [/tex]
Part A
What is the slope of the line?
A. - 1 / 2
B. -2
C.
D. 2
Part B
Conner says the graph shows that water is flowing at a rat of 2 gallons per minute. Is he correct? Use the drop-down menus to explain your answer
Conner (choose...) correct answer because the rate of the water flowing is (choose...) the slope. Water is flowing at a rate that is (choose...) 2 gallons per minute.
Answer:
2
Step-by-step explanation:
The 2 points are (2,1) and (4,2) so you have to do rise over run by doing y2-y1 divided by x2-x1 which will give you 2
$3,000 is invested in an account paying 4% interest and twice that amount is invested at 6%.
Which of the following expressions represents the amount of interest earned on the money invested at 6%?
a. 2(3,000)
b. 0.06(6,000)
c. 0.06(3,000)
Answer:
B
Step-by-step explanation:
Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((
which explicit formula describes the sequence −9, −3, 3, 9, 15, …?
Group of answer choices
an = 9n + 6
an = 6n + 15
an = 6n - 15
an = 9n – 6
======================================================
Explanation:
This sequence is arithmetic
The first term is a = -9
The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)
Plug those values into the arithmetic nth term formula below
an = a + d*(n-1)
an = -9 + 6*(n-1)
an = -9 + 6n-6
an = 6n - 15
--------------
As a check, let's plug in something like n = 1
an = 6n - 15
a1 = 6*1 - 15
a1 = 6 - 15
a1 = -9
We see that the 1st term is -9, which matches the sequence given
Now let's plug in n = 2
an = 6n - 15
a2 = 6*2 - 15
a2 = 12 - 15
a2 = -3
The 2nd term is -3. This also matches.
I'll let you check the other values of n to confirm the answer.
A car travels 30.5 miles in of an hour. What is the average speed, în miles per hour
of the car?
Answer:
rounded to the nearest hundredth its 46.21
Step-by-step explanation:
trust im smart
Kiran sells f full boxes and h half-boxes of fruit to raise money for a band trip. He earns $5 for each full box and $2 for each half-box of fruit he sells and earns a total of $100 toward the cost of his band trip. The equation 5f+2h=100 describes this relationship. Solve the equation for f.
Answer:
f = (100 - 2h) / 5
Step-by-step explanation:
Given:
5f + 2h = 100
Solve the equation for f.
5f + 2h = 100
Subtract 2h from both sides
5f + 2h - 2h = 100 - 2h
5f = 100 - 2h
Divide both sides by 5
5f / 5 = (100 - 2h) / 5
f = (100 - 2h) / 5
If f = 1 full box
h = 1/2 box
h = 1/2 of f
h = 1/2f
Substitute h = 1/2f into
f = (100 - 2h) / 5
f = {100 - 2(1/2f)} / 5
f = (100 - 2/2f) / 5
5f = 100 - f
5f + f = 100
6f = 100
f = 100 / 6
= 16.67
f = 16.67
The required value of f is 16.67.
Given that ;
Kiran sells full box of fruit cost for each box = f = $5
And Kiran sells half box of fruit cost for each = h = $2
According to the question ;
For full box cost + for half box cost = Total cost of his band trip
5f + 2h = 100
Solve the equation following equation for f .
5f + 2h = 100
Subtract 2h from both sides
5f + 2h - 2h = 100 - 2h
5f = 100 - 2h
Divide both sides by 5
[tex]\frac{5f}{5} = \frac{100}{5} - \frac{2h}{5}[/tex]
f = 20-2h
For full box f = 1 full box
For half box h = 1 half box
It means h = [tex]\frac{1}{2}[/tex] of f
h = [tex]\frac{1}{2}f[/tex]
Substitute the value of h
[tex]f = \frac{(100-2h)}{5} \\f = \frac{100-2(\frac{1}{2f} )}{5}[/tex]
[tex]f = \frac{100-f}{5}[/tex]
5f = 100 - f
5f + f = 100
6f = 100
[tex]f = \frac{100}{6}[/tex]
f = 16.67
The required value of f is 16.67.
For more details about the making equation click the link given below.
https://brainly.com/question/9151865
helpp ill mark u as brainlist
Answer:
Assuming you want slope formula for this, it's y= (5/9)x -1
Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.
Write the equation for finding the total cost of
a one-year swim pass.
Answer:
you pay 240 dollars a year
Step-by-step explanation:
y=20x
x is 12
20*12=
240
Answer: $250
Step-by-step explanation:
can you guys please help
Answer:
I cant read all of that. Im sure others ant either.
Step-by-step explanation:
Answer:
i cant read it for some reason, can you type it?
Step-by-step explanation:
plz help
which equation represents a line that is perpendicular to the line on the graph?
A) y=-4x+3
B) y= -1/4x+1
C) y=-1/x-2
D) y= 4x+4
===================================================
Explanation:
The given visual line has a slope of -1/4. We can see this by starting at (0,2) and we do two things
a) move down 1
b) move over to the right 4
This leads to slope = rise/run = -1/4
Once we find the slope of the original line, we take the opposite reciprocal. This is also called the negative reciprocal. So we'll take the reciprocal of -1/4 to get -4/1 or just -4. Then we flip from negative to positive.
In short we flip the fraction and the sign. That has us go from -1/4 to 4.
The original slope is -1/4. The perpendicular slope is 4.
Side note: multiplying any two perpendicular slopes leads to -1. Neither line can be vertical.
--------------------------
So we found the slope of the perpendicular line to be m = 4.
We don't know which point the perpendicular line goes through, so theoretically we have infinitely many equations to pick from. They are all in the form y = 4x+b. Note how I replaced m in y = mx+b with 4.
So our answer will be in the form y = 4x+b. Choices A through C don't fit the description. Only choice D does. So choice D is the answer.
With y = 4x+4, the slope is 4 and the y intercept is 4.
Please help me i will mark you brainliest
y = -11x2 – -52 or y = -5.5x – 52
Lily drew 37 hearts and 36 circles. What is the ratio of hearts to circles?
Simplify your answer if possible.
Answer:
37: 36
Step-by-step explanation:
You can not simplify. Have a good day!
is 7.66 a rational number
Answer:
yes
Step-by-step explanation:
I need help please, can you help me?
Answer:
x= 16 degrees
Step-by-step explanation:
the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .
8. What is the result of (11x + 18i)(117 - 18i)?
Which numbers below are solutions to the inequality 4y+3≤−7?
Answer:
answer is in picture
Step-by-step explanation:
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)
Answer:
ΔV = 2520 V
Step-by-step explanation:
We are given;
Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²
Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²
Now, formula for electric field strength is;
E = -(½ε)(|σ1| ± |σ2|)
ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²
|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.
Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;
E_in = -(½ε)(|σ1| + |σ2|)
E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]
E_in = -4200 V/m
In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;
E_out = -(½ε)(|σ1| - |σ2|)
E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]
E_out = 1400 V/m
The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;
From the attachment, we see that;
ΔV = 2520 V
help me with this please
Answer:
26
Step-by-step explanation:
square root of 81 is 9, 9*2 is 18, square root of 64 is 8, 18+8 is 26
Answer:
26
Step-by-step explanation:
2(square root of 81)+square root of 64
2(9)+8=
18+8=
26
any luck of help? I'll brainlist uu promise . I really need it for correction :)
Answer:
the cist of entry for x adults
Answer:
i think it would be d)
Step-by-step explanation:
cuz like, it says to write an expression. for an expression, most of the time you need more than one like number and variable
hope this helped :)
I do not understand this
Answer:
It would be C. The hexagon.
Answer:It would be C because you have 3 sides for the triangle than 4 sides for the rectangle, 5 sides for the pentagon, and 6 sides for the hexagon
Step-by-step explanation:
Can someone please help me this question. It’s due today I will appreciate it .
what percentage is equal to 32/100
Answer:
32%
Step-by-step explanation:
32/100 is 32%
Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds
Answer:
.44 repeating would be your decimal of dogs that weigh under 20 pounds.
Step-by-step explanation:
Answer:
.44
Step-by-step explanation:
Is this graph of a function yes or no
Answer: It could be, just add two dots at the smiley face, BOOM! The function of Facial muscles in humans.
Step-by-step explanation:
A type of superglue has a density of 0.86 g/mL. What is the mass of a 150 mL sample of this glue?
Answer: 129g
Step-by-step explanation:
The formula to calculate mass is given as:
m = d × v
where,
m = mass
d = density
v = volume
Mass = dv
Mass = 150 × 0.86
Mass = 129g
Answer:
Step-by-step explanation:
A parking garage charges an initial fee to enter, as well as an hourly rate to park. The equation, T = 6 + 2.50h, relates hours parked, h, and
the total charges in dollars, T.
What is the initial fee to enter the garage?
O A $2.50
OB. $3.50
OC. $6.00
OD. $8.50
S RESET
Anala Ramon, ID#******63
Growth: Algebra 1 CCSS 2010
Question # 36
Answer:
The answer is $6.00.
Step-by-step explanation:
They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.
The initial fee to enter the garage is option (C) $6.00.
What is the linear equation?The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.
For the given situation,
The equations is, T = 6 + 2.50 h
where, h is the parking hours and
T is the total charges in dollars.
The initial fee to enter the garage means there will be no fee for parking,
⇒ [tex]h=0[/tex]
Then the equation becomes,
⇒ [tex]T=6[/tex]
Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.
Learn more about linear equation here
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#SPJ2
What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
what is the slope of the line represented by the equation y+2x=4
a. -2
b. 2
c. 4
d. 1/2
What is an equation that is equivalent to -3/4x+1/8=-3/8?
Also the / is not a division symbol. The numbers with a / are fractions.
Hope this helps! Follow my Instagram trlamb822!
Which of the q-values satisfy the following inequality?
6-3q≤1
Answer:
[tex]q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]6-3q\leq 1\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6-3q-6\le \:1-6\\\\Simplify\\\\-3q\le \:-5\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3q\right)\left(-1\right)\ge \left(-5\right)\left(-1\right)\\\\Simplify\\\\3q\ge \:5\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3q}{3}\ge \frac{5}{3}\\\\Simplify\\\\q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]