How do the prefixes in the metric system relate to the basic units?
Answer:
The prefixes in the metric system are used to modify the basic units. The prefixes either make the unit a larger measurement, as in the case of meter to kilometer, or they make the unit a smaller measurement, as in the case of meter to millimeter.
Step-by-step explanation:
A circle has its center at the origin, and (5, -12) is a point on the circle. how long is the radius of the circle
Answer: 13 units.
Step-by-step explanation: A circle has its center at the origin, and the point of the circle is (5, -12). Then we have to calculate the length of its radius formula to find the length between the two points.
please help me I really need it.
Answer:
(x, y, z) = (-5, -1, 0) (x, y, z) = (-8, -7, 5)Step-by-step explanation:
1. A graphing calculator or equation-solving web site can tell you the solution is (-5, -1, 0).
As is sometimes the case with multiple-choice questions, you can choose the "consensus answer".
For x, -5 appears in 3 of 4 answer choices.
For y, -1 appears in 3 of 4 answer choices.
For z, 0 appears in 3 of 4 answer choices.
Thus, the "consensus" is that the answer is (-5, -1, 0). Choosing this one to check can shorten the work of checking the answer choices.
-5 +5(-1) +4(0) = -10 . . . first equation can use this answer2(-5) -(-1) +5(0) = -9 . . . second equation can use this answer2(-5) -10(-1) -5(0) = 0 . . . third equation can use this answerSo, by "guess and check" we have determined the solution to be (-5, -1, 0).
__
2. First of all, you can substitute the given value of z into the other two equations. Then you have ...
2x -y +5 = -4-2x +3y -5 = -10The first of these equations can be solved for y:
y = 2x +9
and this can be substituted for y in the second of these equations:
-2x +3(2x +9) -5 = -10
4x +22 = -10
4x = -32
x = -8
and ...
y = 2(-8) +9 = -7
So this solution, too, is the "consensus solution," ...
(x, y, z) = (-8, -7, 5)
Simplify
-(2/3)(-9y)(3/2)(8x)(0)
A.
72xy
B.
–72xy
C.
72
D.
0
The initial amount of people that are sick with the flu is 36 and growing at a rate of 8% every day.
How many people will be sick with the flu in 11 days?
a cable installer charges $42.50 per hour plus a $45.00 service charge. your fathers firm hires him to hook up his companys internet service. find the total charges if it takes the cable installer 5 hours to complete the task? ...?
Answer: $257.50
Step-by-step explanation:
Total charges of 5 hours paid by father = Charges of cable installer for 5 hours + Service Charge
Charges of cable installer per hour = $42.50
Charges of cable installer for 5 hours = 5 × 42.50 = $212.50
Additional service charge by him = $45.00
So, total charges of 5 hours paid by father = $212.50 + $45.00 = $257.50
Which description represents the expression 3x + 4 ?
the sum of 3 times a number and 4
4 added to 3 plus a number
4 divided by the product of 3 and a number
4 less than 3 times a number
Answer:
first option
Step-by-step explanation:
To know this, let's begin with discarting options.
The expression is 3x + 4
This expression means that you have 3 times a number and then you add 4 to that number.
According to this, the second option states that to the number 4 you add the 3, in other words 4 + 3 and then a number. This cannot be the correct option.
The third option states a division, but we don't have in the expression any division, so, this is not the option.
The fourth option is the same as the second option with the difference that instead of adding you do a substract, which is not the case.
So with this we can conclude that the correct option is the first one, sum 3 times a number with 4.
the answer is (A) the sum of 3 times a number and 4
The inequality x + 2y ≥ 3 is satisfied by which of the following points? (Select all that apply.)
1. (1,1)
2. (-3,4)
3. (-2,2)
4. (5,-2)
Answer:
answer 1 and 2 are the correct ones.
Step-by-step explanation:
The x-intercept of the line x = 3.5 is...?
A fair number cube is rolled. What are the odds in favor of rolling a 1?
What is the quotient of 6,523÷7=?
Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to: 300x + y = 10000 If y = 87.5, what is the value for x? 300x + y = 10,000 300x + (87.5) = 10,000 300x + 6,250 = 10,000 x =
Answer:
12.5 :) enjoy
Final answer:
To find the value of x in the linear equation 300x + y = 10000 where y = 87.5, we substitute the value of y into the equation and solve for x. The value of x is approximately 33.04.
Explanation:
To find the value of x, we can substitute the given value of y into the equation and solve for x.
Given equation: 300x + y = 10000
Substituting y = 87.5 into the equation:
300x + 87.5 = 10000
Subtracting 87.5 from both sides:
300x = 10000 - 87.5
Simplifying the right side:
300x = 9912.5
Dividing both sides by 300:
x = 33.04
Therefore, the value of x is approximately 33.04.
At 3:00 PM a man 143 cm tall casts a shadow 150 cm long. At the same time, a tall building nearby casts a shadow 180 m long. How tall is the building?
The perimeter of a triangular plot of land is 2400 ft. The longest feet is 200 ft less than twice the shortest. The middle side is 200 ft less than the longest side. Find the lengths of the three sides of the triangular plot. ...?
Final answer:
The lengths of the three sides of the triangular plot are 600 feet for the shortest side, 800 feet for the middle side, and 1000 feet for the longest side.
Explanation:
To find the lengths of the three sides of the triangular plot, let's define the shortest side as x. Therefore, according to the problem statement, the longest side would be 2x - 200 feet and the middle side would be (2x - 200) - 200 = 2x - 400 feet. The perimeter of the triangle is the sum of all its sides, which is given as 2400 feet.
The equation representing the perimeter of the triangle is:
x + (2x - 200) + (2x - 400) = 2400
Simplifying the equation, we get:
5x - 600 = 2400
Adding 600 to both sides:
5x = 3000
Dividing by 5 gives us:
x = 600
Thus, the shortest side is 600 feet, the longest side is 2(600) - 200 = 1000 feet, and the middle side is 1000 - 200 = 800 feet.
The lengths of the three sides of the triangular plot are 600 feet, 800 feet, and 1000 feet respectively.
Which of the following is a factor of 2x4 + 22x3 + 60x2?
2x3
x4
x + 4
x + 5
Answer
One factor of the equation [tex]2x^{4} + 22x^{3} + 60x^{2}[/tex] is x + 5 .
Option (d) is correct.
Reason
As the equation in the question is as follows
[tex]= 2x^{4} + 22x^{3} + 60x^{2}[/tex]
simplify the above
Taking 2x² as a common part
= 2x²(x² + 11x + 30 )
= 2x² (x² + 5x + 6x + 30)
= 2x²(x(x+5) +6(x + 5))
= 2x²(x + 5)(x + 6)
Therefore the factors are 2x² , (x +5) , (x + 6) .
m<AOB = 4x - 1; m<BOC = 2x + 15; m<AOC = 8x + 8
Find the value of x.
By setting up an equation using the measures of adjacent angles AOB, BOC, and AOC, we find that the sum of AOB and BOC equals AOC. Simplifying and solving for x gives us the value of x as 3.
Explanation:To solve for the value of x given the measures of angles AOB, BOC, and AOC, we have to use the fact that the sum of the angles AOB and BOC is equal to the angle AOC since the angles are adjacent to each other.
By setting up an equation where m + m equals m, we have:
(4x - 1) + (2x + 15) = (8x + 8).
Upon simplifying, we combine like terms to get:
4x + 2x - 1 + 15 = 8x + 8,
which simplifies to 6x + 14 = 8x + 8. To solve for x, we need to move the terms involving x to one side and the constant terms to the other side. Subtracting 6x from both sides of the equation yields:
14 = 2x + 8,
and then subtracting 8 from both sides gives us:
6 = 2x,
Divide both sides by 2, and we find that:
x = 3.
How to do 4 3/4 -9 2/3?
Evaluate -3(-4) (-p)where p=9
The function g(x) = –2x – 5. Compare the slopes.
A. The slope of f(x) is the same as the slope of g(x).
B. The slope of f(x) is less than the slope of g(x).
C. The slope of f(x) is greater than the slope of g(x).
D. The slope of f(x) is undefined and the slope of g(x) is negative.
Answer:
Option A is correct that is the slope of f(x) is the same as the slope of g(x).
Step-by-step explanation:
We have been given a function g(x)= -2x -5
And slope of f(x) can be shown from the given graph
And a line (0,3) and (1,1) is f(x)
Slope we can find in f(x) by the formula
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, in f(x) [tex]x_1=0,x_2=1,y_1=3,y_2=1[/tex]
On substituting the values we get slope of f(x) as:
[tex]slope=\frac{1-3}{1-0}=-2[/tex]
hence, slope of f(x) is -2
And slope of g(x) can be find by the formula
y= mx +c; where m is the slope on comparing the given equation with the above equation
We have slope of g(x) is -2
Hence, the slope of f(x) is the same as the slope of g(x).
Therefore, option A is correct.
You are purchasing office supplies. Because of the volume of your orders your company receives 15% off all purchases. You buy a case of paper for $24.95 and a toner refill at $35.99. You find discontinued ink for $49.95 at 50% off. The local sales tax is 4.5%.What did you spend?
$73.03
$76.32
$85.92
$89.78
A model rocket is launched with an initial upward velocity of201ft/s . The rocket's height h (in feet) after t seconds is given by the following. h=201t -16t^2
Find all values of for which the rocket's height is 93 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
...?
The values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
A model rocket is launched with an initial upward velocity of 201ft/s.
The rocket's height h (in feet) after t seconds is given by the following:
h = 201t -16t²
The above equation is parabolic.
Plug h = 93 feet
93 = 201t - 16t²
16t² - 201t + 93 = 0
After solving with the quadratic formula:
[tex]\rm t_{1,\:2}=\dfrac{201\pm \sqrt{201^2-4\left(16\right)\left(93\right)}}{2\left(16\right)}[/tex]
t = 0.481, 12.081
or
t = 0.48, 12.08 secods
Thus, the values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
Which is the converse of this conditional?
If it is appropriate, then I play golf.
A.
If it is appropriate, then I do not play golf.
B.
If I play golf, then it is appropriate.
C.
If I do not play golf, then it is appropriate.
D.
If it is not appropriate, then I play golf.
In the fall, you go to the local nursery and purchase a package of 10 rose plants. The clerk informs you that on average you can expect 5% of the plants to not live through the winter. Assume that the plants are a random sample.
a) Use the binomial formula to determine the probability that one or more of the plants will not survive the winter.
b) What is the probability that all the plants will survive? Write how the binomial formula is used to calculate the probability.
What is the simplified form of the following expression? (n5)(n2)
Final answer:
The simplified form of the expression (n⁵)(n²) is found by adding the exponents since the base is the same, resulting in n⁷.
Explanation:
The simplified form of the expression (n⁵)(n²) is achieved by applying the laws of exponents. Since both terms have a common base of n, when multiplying two exponentials with the same base, we simply add their exponents.
The addition of 5 and 2 (the exponents) provides n⁵⁺² which simplifies to n⁷.
Hence, the simplified form of (n⁵)(n²) is n⁷.
Simplify.
2+{8−2[32+5(1+2)]}
Answer:
-84 is the answer.
Step-by-step explanation:
The given expression is 2 + {8 - 2[32 + 5(1 + 2)]}
We will start solving the inner most parenthesis first.
2 + {8 - 2[32 + 5×3]}
Further solve the parenthesis having the addition of 32 and 15
= 2 + {8 - 2[32 + 15]}
= 2 + {8 - 2×[47]}
Finally we will solve the last parenthesis.
= 2 + {8 - 94}
= 2 + {-86}
= 2 - 86
= -84
What is the answer to 2a+3=9a-4
Lucas and Erick are factoring the polynomial
12x3 – 6x2 + 8x – 4. Lucas groups the polynomial (12x3 + 8x) + (–6x2 – 4) to factor. Erick groups the polynomial (12x3 – 6x2) + (8x – 4) to factor. Who correctly grouped the terms to factor? Explain.
Both students are correct because polynomials can be grouped in different ways to factor. Both ways result in a common binomial factor between the groups. Using the distributive property , this common binomial term can be factored out. Each grouping results in the same two binomial factors.
whats x?
16x - 4x = -48
If possible, can you show your steps
In the united states sales tax is added to items that you purchase.the rate of sales tax varies by state and sometimes by country or region
Estimate 142 to the nearest number