what is the correct path to get to the end
Which of the following is the correct expression, in scientific notation, of the number 37,500 ? \( 3.75 \times 10^{3} \) \( 3.75 \times 10^{-3} \) 37,500 \( 3.75 \times 10^{4} \)
Answer: 3750
Step-by-step explanation:
What are 2 examples of composite number?
Composite numbers are whole numbers that contain more than two elements.. Examples of composite numbers include 36 and 42. These numbers are divisible by more than just 1 and themselves. 36 is divisible by 1, 2, 3, 4, 6, 9, 12, and 18. 42 is divisible by 1, 2, 3, 6, 7, 14, and 21.
Example 1: To find the factors of 36
Step 1: Start by dividing 36 by 2, which gives us 18.
Step 2: Divide 18 by 2, which gives us 9.
Step 3: Divide 9 by 3, which gives us 3.
Step 4: Divide 3 by 3 which gives us 1.
Step 5: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, and 18.
Example 2: To find the factors of 42
Step 1: Start by dividing 42 by 2, which gives us 21.
Step 2: Divide 21 by 3, which gives us 7.
Step 3: Divide 7 by 7 which gives us 1.
Step 4: The factors of 42 are 1, 2, 3, 6, 7, 14, and 21.
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Which of the following has a slope of 2 and a y-intercept of -4?
y = 2x + 4
y = -2x + 4
y = -2x - 4
y = 2x - 4
Answer:
y = 2x - 4
Step-by-step explanation:
y = ax + b
a = slope
b = y-int
so, in y = 2x - 4
a = slope = 2
b = y-int = -4
17. Type A cream is 18% butterfat and type B cream is 24% butterfat. Choose a table to help you determine how many quarts of each type of cream must be used to create a 90 quart mixture that is 22% butterfat.
Answer:
F.
Explanation:
The number of quarts of cream Type A is x.
Type A cream has 18% butterfat, so the amount butterfat will be 0.18x
For type B, we know that the total amount of cream will be 90, so if cream type A is x, cream type B is 90 - x.
Type B crem has 24% butterfat, so teh amount in the mixture will be 0.24(90-x)
Then, the mixture will be 90 quarts of crean that is 22% butterfat, so the amount in the mixture will be 0.22(90)
Therefore, the table that represent this data is table F.
So, the answer is F.
Complete the table and then graph the function.
y = 3x
Answer:
x y
1 3
2 6
3 9
Step-by-step explanation:
just plot the corresponding points onto your graph
A shopkeeper bought a table for 250.50 he sold it for 300.50 find his profit and loss
Answer:
Profit = selling price - buying price
Profit = 300.50 - 250.50
Profit = 50
He sold the table at a Profit of 50, hence he has no loss.
He has a profit of 50 and no loss.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that shopkeeper bought a table for 250.50 he sold it for 300.50
Profit = selling price - buying price
Profit = 300.50 - 250.50
Profit = 50
He sold the table at a Profit of 50, Therefore, he has no loss.
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ASAP!!!!
how do i write the intercept form equation
y=a(x-p)(x-q)
when i know a=-16
p=-0.12
q=1.12
Answer:
y = -15x - 3.04
Step-by-step explanation:
1) First place down what you are given.
Y = a(x - p) (x - q)
2) Then Substitute.
a = -16
p = -0.12
q = 1.12
y = (-16)(x - (-0.12))(x - (1.12)
3) Do order of operations (PEMDAS)
y = (-16)(x + 0.12)(x - 1.12)
Now distribute
y = − 16 x − 1.92 + (x - 1.12)
y = -16x - 1.92 + x - 1.12
y = -16x + x - 1.92 - 1.12
y = -15x - 3.04
4)
You answer is:
y = -15x - 3.04
4. Find the center and radius of the circle given by this equation: x2 – 8x + y2 + 4y - 16 = 0
Answer:
Center ( 4 , -2) and r = 6
Step-by-step explanation:
x² - 8x + y² + 4y - 16 = 0
x² - 8x + y² + 4 y = 16
x²- 2*4x + y² + 2 *2y = 16
(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16
(x - 4)² + (y + 2)² = 16 + 16 + 4
(x - 4)² + (y -[-2])² = 36
(x- 4)² + ( y - [-2] )² = 6²
Compare with (x - h)²+ (y - k)² = r²
Center ( 4 , -2) and r = 6
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The function has a maximum value of 30 at x = 3.
Given Function:
f(x) = -3+18x+3
here a = -3 , b = 18 , c = 3
a is negative so it has maximum value
x = -b/2a
= -18/2*(-3)
= -18/-6
= 18/6
= 3
f(x) = -3* + 18*3 + 3
= -3*9+54+3
= -27+54+3
= 27+3
= 30
Therefore the function has a maximum value of 30 at x = 3.
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Pleaseeeeee help! I don’t understand and I just wanna go to sleep but this is due in 35 minutes
Answer:
69
Step-by-step explanation:
it is 69 becuase 4x-7+11x-8 equals 69
We have: 2.(4x - 7)° + 2(11x - 8)° = 360°
So: 8x - 14 + 22x - 16 = 360°
<=> 30x - 30 = 360°
<=> 30(x - 1) = 360°
<=> x - 1 = 12
<=> x = 13°
We know: ∠G = ∠F = (11x - 8)° = ( 11.13-8)° = 135°
The answer: ∠G = 135°
Ok done. Thank to me :>
what is the answer 6u+2(u-8) - 4
Answer:
8u - 20
Step-by-step explanation:
Roger received $200 for his birthday. He wants to use the money to buy new clothes for work. He can buy pants
for $30 and shirts for $20. He wants at least 6 new items. Determine the shirt and pants combination Roger
can buy.
From the inequalities 30x + 20y ≤ 200 and x + y ≥ 6, Roger can buy 3 pants and 3 shirts.
What is an equation?An equation is an expression that shows the relationship between numbers and variables.
Inequalities is used for the non equal comparison of these numbers and variables.
Let x represent the number of pants that Roger buys and y represent the number of shirts he buys.
He can buy pants for $30 and shirts for $20. Roger received $200 for his birthday, therefore:
30x + 20y ≤ 200 (1)
Also:
He wants at least 6 new items. hence:
x + y ≥ 6 (2)
From both equations, the solution to these equalities is (3, 3)
Roger can buy 3 pants and 3 shirts.
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Under laminar conditions, the volume flow Q through a small triangular section pore of side length b, and length L is a function of viscosity , pressure drop per unit length p/L, and b. Using the pi theorem, rewrite this relation in dimensionless form. How does the volume flow change if the pore size b is doubled?
The volume flow Q through a small triangular section pore can be related to viscosity, pressure drop per unit length, and pore size through the Buckingham Pi theorem.
Let's first identify the fundamental dimensions involved in this problem:
Length (L)
Mass (M)
Time (T)
Using these fundamental dimensions, we can form three dimensionless pi groups that express the relationship between the variables:
Reynolds number: Re = (ρVL)/µ, where ρ is the density of the fluid, V is the characteristic velocity (which is proportional to pressure drop per unit length), µ is the viscosity of the fluid, and b and L are characteristic length scales.
Aspect ratio: Γ = L/b
Shape factor: Ψ = (Qb²)/(µVL)
The volume flow Q can therefore be written in terms of the other variables as:
Q = (ΨµVL)/b²
To answer the second part of the question, if the pore size b is doubled, the volume flow Q will increase by a factor of 4, assuming all other variables remain constant. This is because the shape factor Ψ is proportional to b², so doubling b will lead to a four-fold increase in Ψ and thus in Q.
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9. Ramon buys five 3- pound bags of natural parrot food for $8.79 per bag. How much money did he
spend?
$43.95
Step-by-step explanation:
If each bag costs 8.79 and Ramon bought 5 bags then you would multiply 5×8.79
Answer:
$26.37
Step-by-step explanation:
Ramon bought 3-pound bags of natural parrot food for $8.79 per bag. how much money did he spend?
If Ramon bought 3-pound bags of natural parrot food each is $8.70 per bag
It's time to add!!
8.79 + 8.79 + 8.79= ANSWER: $26.37
In Stacking! :)
8.79
+8.79
8.79
______
26.37
HOPE THIS HELPS YOU! :)
Which expression is equivalent to −2(3x + 5y)?
−6x − 10y
−6x + 5y
5y(3x − 2)
3x(−2 + 5y)
Answer:
-6x-10y
Step-by-step explanation:
Answer:
-6x - 10y
Step-by-step explanation:
because
-2(3x + 5y) can be broken into
-2 * 3x = -6y
-2 * (+ 5y) = -10y
hence -6x - 10y
note * this symbol means multiply
\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.heeeeeeeeeeeeeellllllllppp
Answer:
Step-by-step explanation:
let price of one pretzel=x
price of one soda=y
3x+4y=11.25 ...(1)
5x+2y=8.25 ...(2)
multiply by 2
10x+4y=16.50 ...(3)
(3)-(1) gives
7x=5.25
x=0.75
from (1)
3(0.75)+4y=11.25
2.25+4y=11.25
4y=11.25-2.25
4y=9
y=9/4=2.25
cost of one pretzel=$0.75
cost of one soda=$2.25
solve the inequality; x2-x-2>0
Answer:
x > 2/3
Step-by-step explanation:
2x -x - 2 > 0
add 2x and x (It becomes 3x)
3x -2 >0
subtract 0 from both sides
3x> 2
divide 3 on both sides
And the answer is
X> 2/3
22
What points represent the x and y intercepts of the equation?
-4x - 5y = -80
A) (0, 0) and (-20, -16)
B (0, -20) and (-16, 0)
C (20, 0) and (0, 16)
D) (0, 0) and (-16, 20)
Answer:
C
Step-by-step explanation:
to find the x- intercept, where the line crosses the x- axis, let y = 0 in the equation and solve for x.
- 4x - 5(0) = - 80
- 4x - 0 = - 80
- 4x = - 80 ( divide both sides by - 4 )
x = 20
then x- intercept is (20, 0 )
to find the y- intercept, where the line crosses the y- axis, let x = 0 in the equation and solve for y.
- 4(0) - 5y = - 80
0 - 5y = - 80
- 5y = - 80 ( divide both sides by - 5 )
y = 16
then y- intercept is (0, 16 )
Gesell has 20 ounces of water in his bottle. He drank ⅕ of the water. How many ounces of water did he drink?
Answer:
Gesell drank 4 ounces.
Step-by-step explanation:
20 divided by 5 is 4. 1/5 = 4/20.
Answer:
MISTA GESELL
Step-by-step explanation:
For what values of c does the quadratic equatrion x^2-2x+c=0 have two roots of the same sign
The roots have positive or same signs when c>0.
Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.
\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)
Roots of quadrant equation have Samsame sign if product of roots >0.
\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)
Roots of quadratic equation have positive sign if product of roots<0.
c>0.
Combining results, we get:-
roots have positive signs when:-
c>0.
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How do you solve y=3x²-6x-1 using completing the square?
Find the area of the polygon with
E(3, 1), F(3, – 2), GC – 2, - 2)
Answer:
7.5 square units
Step-by-step explanation:
A = (.5)bh
= (.5)(3)(5)
= (.5)(15)
= 7.5
How many elementary events are in the sample space of the experiment of rolling three fair coins? 2 9 8 6
When we roll three fair coins, there are two possible outcomes for each coin - either it lands heads up or tails up. There are 8 elementary events in the sample space of the experiment of rolling three fair coins.
The sample space of this experiment consists of all possible combinations of three outcomes, which can be calculated by multiplying the number of outcomes for each coin: 2 x 2 x 2 = 8.
Each of these combinations is called an elementary event, which means that there are 8 elementary events in the sample space of the experiment of rolling three fair coins. We can list them as follows:
1. HHH (all three coins land heads up)
2. HHT (two coins land heads up, one lands tails up)
3. HTH (two coins land heads up, one lands tails up)
4. THH (two coins land heads up, one lands tails up)
5. HTT (one coin lands heads up, two land tails up)
6. THT (one coin lands heads up, two land tails up)
7. TTH (one coin lands heads up, two land tails up)
8. TTT (all three coins land tails up)
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PLEASE HELP ME PLEASE IM BEGGING PLEASE ANSWER CORRECTLY!!!!
The equation of the line parallel to the line shown in the graph passing through the point (-2, 3) is y = (2/3)x + (13/3) and the equation of the line perpendicular to the line shown in the graph passing through the point (-2, 3) is y = (-3/2)x.
What is slope?
The slope of a line passing through two points \((x_1, y_1) \: and \: (x_2, y_2)\) is given by slope = \(\frac{(y_2 - y_1)}{(x_2 - x_1)}\)
Given line passes through (0,-6) and (9,0)
To find the equation of a line parallel to a given line, we need to use the fact that parallel lines have the same slope.
The slope of the line passing through (0,-6) and (9,0) can be found using the slope formula
slope = (change in y) / (change in x)
= (0 - (-6)) / (9 - 0)
= 6 / 9
= 2/3
Therefore, any line parallel to this line will also have a slope of 2/3.
We can now use the point-slope form of a line to find the equation of the line passing through (-2,3) with a slope of 2/3:
y - y1 = m(x - x1) (point-slope form)
where m is the slope, and (x1,y1) is a point on the line.
Substituting the values, we get:
y - 3 = (2/3)(x - (-2))
y - 3 = (2/3)(x + 2)
y - 3 = (2/3)x + (4/3)
y = (2/3)x + (4/3) + 3
y = (2/3)x + (13/3)
Therefore, the equation of the line parallel to the line passing through (0,-6) and (9,0) shown in the graph passing through the point (-2, 3) is y = (2/3)x + (13/3).
Using the points (0,-6) and (9,0), we can find the slope of the original line:
slope = (0 - (-6)) / (9 - 0) = 6/9 = 2/3
The slope of any line perpendicular to this line will be the negative reciprocal of this slope. So, the slope of the perpendicular line will be:
perpendicular slope = -1 / (2/3) = -3/2
Now we have the slope of the perpendicular line, and we also have a point it passes through: (-2, 3). We can use the point-slope form of a line to write the equation of the perpendicular line: y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is the point it passes through. Plugging in the values we have, we get:
y - 3 = (-3/2)(x - (-2))
Simplifying:
y - 3 = (-3/2)x - 3
y = (-3/2)x + 0
So the equation of the line perpendicular to the line passing through (0,-6) and (9,0), and passing through (-2, 3), is y = (-3/2)x.
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Morgan earned $70.00 at her job when she worked for 4 hours. How much money did she earn each hour?
100 POINTS!!!
PLS HELP
Answer:17 dollars and 2 coins?
Step-by-step explanation:
Please help guys this is due and I don’t know how to do it :( do any problem you would like, it would help so much!
Answer:
pipe B will take about 20
5 hours
i donot the last one
Step-by-step explanation:
Convert 9.46ml into deciliters
Answer:
0.0946
ml to deciliters is divided by 100
Answer:
.0946
Step-by-step explanation:
100 ml =1 dl so
9.46 moved over 2 times after the point would equal .0946
For the function v(t)=4t^2−6t+2, determine the value(s) of t on the closed interval [0,3] where the value of the derivative is the same as the average rate of change
There are no values of t on the interval [0,3] where the value of the derivative is equal to the average rate of change for the function \(v(t)=4t^2-6t+2.\)
The derivative of the function v(t) can be found by taking the derivative of each term separately. Applying the power rule, we get v'(t) = 8t - 6. To determine the average rate of change, we need to calculate the difference in the function's values at the endpoints of the interval and divide it by the difference in the corresponding values of t.
In this case, the average rate of change is (v(3) - v(0))/(3 - 0). Simplifying this expression gives (35 - 2)/3 = 33/3 = 11.
Now, we set the derivative v'(t) equal to the average rate of change, which gives us the equation 8t - 6 = 11. Solving this equation, we find t = 17/8. Since the interval is [0,3], we need to check if the obtained value of t falls within this interval.
In this case, t = 17/8 is greater than 3, so it does not satisfy the conditions. Therefore, there are no values of t on the closed interval [0,3] where the value of the derivative is equal to the average rate of change for the given function.
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