Answer:
The range is: 7
Step-by-step explanation:
Given the data set
6, 7, 13, 10
Sorting in ascending order
6, 7, 10, 13
We know that the range is the difference between the highest and lowest values in a set of numbers.
Here:
Highest Value = 13Lowest Value = 6Thus,
Range = Highest Value - Lowest Value
= 13 - 6
= 7
Therefore, the range is: 7
solve the system using elimination -2x + y = 11 2x + 3y= 17
Answer:
point form: (-2,7)
equation form: X = -2, Y = 7
Solve for r.
r/-4 = 250
Answer: r= -1000
Step-by-step explanation:
Solve for r by simplifying both sides of the equation, then isolating the variable
Answer:
-1000
Step-by-step explanation:
-4 x 250 = -1000
-1000/-4= 250
PLZ MARK BRAINLIEST
have a great day! :)
Simplify
(6x^2y^-4)^-3
Answer:
y^12/216x^6
Step-by-step explanation:
First Im distrubiting the powers.
((6^-3)[(x^2)^-3][(y^-4)^-3])
(216^-1)(x^-6)(y^12)
Move the negative exponents
y^12/216x^6
–5x + 4 – x –1 a. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: -1 b. terms: -5x, 4, -x; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 c. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 d. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: 4, -1; constants: -5, -1
Given:
The expression is
[tex]-5x+4-x-1[/tex]
To find:
The terms, like terms, coefficients and constants.
Solution:
We have,
[tex]-5x+4-x-1[/tex]
It can be written as
[tex]=(-5x)+4+(-x)+(-1)[/tex]
So, terms are [tex]-5x,4,-x,-1[/tex].
It two terms have same variable of same degree, then they are called like terms.
[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.
In the product of a number and a variable, the number is called coefficient.
Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.
Constant terms are free from variable. So, constant terms are 4 and -1.
Terms: [tex]-5x,4,-x,-1[/tex];
Like terms: [tex]-5x, -x;4, -1[/tex];
Coefficients: -5, -1;
Constants: 4, -1
Therefore, the correct option is c.
A passenger jet can travel 600 miles per hour. How long
would it take a jet traveling at that speed to cross 3000 miles of ocean?
Write an equation and solve the problem.
Answer:
the answer would be 5 hours
Step-by-step explanation:
we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.
3000/600 = 5
another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.
30/6 = 5
and ta da the question is sloved!!!
What is the range of the graph?
Answer:
y ≥ -1
Step-by-step explanation:
range consists of all y-values contained in the solution set
the lowest y-value (as seen by the graph) is negative 1
Order the following numbers from least to greatest.
Put the least value on the left.
Answer:
-5/2, -2, 1.7
Step-by-step explanation:
draw a graph that models the relationship between time and Runners distance from the starting position use the data in the table to create the graph of the relationship be sure to include appropriate axis labels, intervals and units.
Answer:
Where is the graph?
Step-by-step explanation: How does anyone answer without a graph lol
The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression represents how many trees will be left in 10 years. Group of answer choices
Answer:
[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
Step-by-step explanation:
The above question is in the form of an exponential decay. The equation for an exponential decay is given by:
[tex]y=ab^x[/tex]
where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).
Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:
[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]
Dividing by the wrong number when finding the mean is a:
interpretation error.
data collection error.
measurement error.
sampling error.
Answer:
measurement error
Step-by-step explanation:
hope this helps
Jill Barley obtained a 25-year, $60,000.00 mortgage loan from University
Savings and Loan Association. The interest rate is 6 percent. The monthly
payment is $386.40. For the first payment, what is the interest? What is the
payment to principal? What is the new balance?
Answer:
a. Interest = $300
b. Payment to principal = $86.40
c. New balance = $59,913.60
Step-by-step explanation:
The monthly payment has both an interest component and a principal repayment component.
The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.
As the interest is listed in annual terms, it needs to be made a monthly rate:
= 6%/12 months
= 0.5%
Interest = 60,000 * 0.5%
= $300
Payment to principal = 386.40 - 300
= $86.40
New balance = Amount due - payment to principal
= 60,000 - 86.40
= $59,913.60
Solve for Y .
-6y + 4x = 8
Answer:
y= -4/3 + 2x/3
Step-by-step explanation:
Write an algebraic equation and solve. Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25. What is the price of 1 orange?
Answer:
The cost of 1 orange is $2.05.
Step-by-step explanation:
Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.
Cost of 5 oranges = $5x
Cost of 2 packs of strawberries = 2×5 = $10
ATQ,
5x + 10 = 20.25
Subtract 10 both sides
5x + 10 -10 = 20.25-10
5x = 10.25
x = 2.05
So, the cost of 1 orange is $2.05.
express the following ratio in their simplest form 45cent: $2.25
Answer:
$1.80
Step-by-step explanation:
i had this question
5p+2=-43
I need help so bad please help
find the value of xin the triangle shown below
Answer:
[tex]x=80^{\circ}[/tex]
Step-by-step explanation:
Solution 1:
Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:
[tex]x+50+50=180[/tex].
Solving, we get:
[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].
Solution 2:
The Law of Sines states:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.
We can use this to set up a proportion with the information given:
[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].
Solving, we get:
[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].
2x² + 3 × (-x²) + 6x + 2
Answer:
1x²+5 x 6x
Step-by-step explanation:
HELP ASAP
6+ x - y + 10=
Answer:
x-y+16
Step-by-step explanation:
add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)
On a coordinate plane, three of the four vertices of a rectangle are located at the points (0,0). (5,5), and (6,2). What is the area, in square units of the rectangle?
Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
What is the Area of a Rectangle?Area of rectangle = length × width.
What is Distance Formula?Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Thus:
Length of rectangle = distance between (0, 0) and (5, 5)
[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]
Width of rectangle = distance between (5, 5) and (6, 2)
[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]
Area of rectangle = √50 × √10
= √500
Area = 10√5
Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
Learn more about area of rectangle on:
https://brainly.com/question/25292087
How many Terminating Zeros are at the end of 631! when this number is multiplied out
Answer:
3 zeros
Step-by-step explanation:
Thus The factorial symbol is the exclamation mark !. like this
Using The factorial formula isIf n is a natural number greater than or equal to 1, then
n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1
When If n = 0, then n! = 1, by convention it. Thus, The factorial of 631 is calculated, through its definition, can we this way: 631! = 631 • 630 • 629 • 628 ... 3 • 2 • 1Learn more information:
https://brainly.com/question/15175651
I need help with solving for y
Answer:
y = [tex]-\frac{5}{3}[/tex] x + 5
Step-by-step explanation:
Solve an equation for a variable mean to leave that variable on one side of that equation by itself.
5x + 3y = 15
5x + 3y - 5x = 15 - 5x
3y = - 5x + 15
[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]
y = [tex]-\frac{5}{3}[/tex] x + 5
4.Solve -3.1s = -19.22.
A.
-59.582
B.
6.2
C.
-6.2
D.
59.582
Plzzz
Answer:
s=6.2
Step-by-step explanation:
-3.1s=-19.22
divide -19.22 by -3.1 to get s
s=6.2
Write an equation in slope-intercept form
(y = mx + b) of the line that is
perpendicular to the graph of 4x + 8y = 5
and passes through (3,9).
pls help I literally don’t get this
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2
Answer:
y = (2/5)x + 2
Step-by-step explanation:
The given equation y = (2/5)x - 2 is already in slope-intercept form. The equation of the new line has precisely that form, except that the constant is different. To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:
4 = (2/5)(5) + C, or
4 = 2 + C. Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.
Jazmine makes a base salary of $750 per week. She sold a car this week for $25,000 and get a 3% commission on her sales. What is her total salary this week?
Answer:
1,500
Step-by-step explanation:
What type of function is y=2^x +8
Answer:
y = 2ˣ + 8 represents the exponential function.
The graph of the function y = 2ˣ + 8 is also attached below.
Step-by-step explanation:
We know that the general exponential function is of the form
f(x) = aˣ
were a > 0
Given the function
y = 2ˣ + 8
Comparing with y = aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.
where a = 2
We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.
i.e.
y = 2ˣ + 8
y = 2⁰ +8 ∵ 2⁰= 1
y = 1+8
y = 9
Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.
Therefore, y = 2ˣ + 8 represents the exponential function.
The graph of the function y = 2ˣ + 8 is also attached below.
When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80
Harrison has 60 cds in his music collection. If 20% of the cds are country music and 40% are pop music, how many cds are other types of music?
There are 9 other CD's of a different genre.
Warren used 1/2 of tube of toothpaste and 1/3 of a year at that rate how much toothpaste would he use in one year
Answer:
3 toothpaste
Step-by-step explanation:
Tube of toothpaste : year
1/2 : 1/3
how much toothpaste would he use in one year
Tube of toothpaste : year
x : 1
Seductions
1/2 : 1/3 = x : 1
1/2 ÷ 1/3 = x / 1
1/2 × 3/1 = x/2
3/2 = x/2
x = 3/2 ÷ 1/2
= 3/2 × 2/1
= 6/2
x = 3 toothpaste
Answer:
its 1 1/2
Step-by-step explanation:
Find Warren's rate in tubes of toothpaste per year. Divide
1
2
of a tube of toothpaste by
1
3
of a year.
To divide by
1
3
, multiply by its reciprocal, 3.
1
2
÷
1
3
=
1
2
3
=
13
2
Simplify.
13
2
=
3
2
= 1
1
2
Warren used the toothpaste at a rate of 1
1
2
tubes per year. So, he would use 1
1
2
tubes in 1 year.