find the value of 6+(-4)
*explain how to solve*
Answers
2
Step-by-step explanation:
adding a negative number to another number is the same as subtracting
Related Questions
Use the Distributive
Property to find 1/3 x 6 1/2
Answers
a x (b + c) = a x b + a x c
To apply this property to 1/3 x 6 1/2, we can rewrite 6 1/2 as the sum of 6 and 1/2:
1/3 x 6 1/2 = 1/3 x (6 + 1/2)
We can then use the distributive property to distribute 1/3 to each term inside the parentheses:
1/3 x (6 + 1/2) = 1/3 x 6 + 1/3 x 1/2
Simplifying this expression, we get:
1/3 x 6 + 1/3 x 1/2 = 2 + 1/6
Therefore, 1/3 x 6 1/2 = 2 1/6.
Suppose you are doing a two sample test of means, and assume that the population variances are equal. We have the following data:
Sample 1: n1= 16, XX1 = 44, s1= 5
Sample 2: n2= 9, XX2 = 41, s2= 6
Find the test statistic.
t = 1.341
Answers
Correct option is " B " the is the test statistics is 1.341 when sample 1: n₁=16, x₁=44, and s₁=5 and sample 2:x₂ = 41, s₂ = 6, n₂ = 9.
Given that,
Assume you are conducting a two-sample test of averages and that the variances in the population are identical. The information below is ours:
Sample 1: n₁=16, x₁=44, and s₁=5.
Sample 2:x₂ = 41, s₂ = 6, n₂ = 9.
We have to find the test statistic.
We know that,
n₁ = 16
x₁ = 44
s₁ = 5
n₂ = 9
x₂ = 41
s₂ = 6
We have
t= (x₂ - x₁)/√(n₁-1)s₁²+(n₂-1)s₂²/n₁+n₂-2(1/n₁+1.n₂)
t = 1.341.
Therefore, Correct option is " B " the is the test statistics is 1.341 when sample 1: n₁=16, x₁=44, and s₁=5 and sample 2:x₂ = 41, s₂ = 6, n₂ = 9.
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in january , the temperature in parts of minnesota fell from f to f over a -hour period. what was the average temperature change per hour?
Answers
The average temperature change per hour was -2.708 degrees Fahrenheit.
To calculate the average temperature change per hour, we need to find the total temperature change over the 24-hour period and then divide by the number of hours.
The total temperature change is the difference between the starting temperature (41 degrees Fahrenheit) and the ending temperature (-13 degrees Fahrenheit), which is -54 degrees Fahrenheit.
Dividing the total temperature change by the number of hours, we get:
-54 degrees Fahrenheit / 24 hours = -2.25 degrees Fahrenheit per hour.
Rounding to three decimal places, we get an average temperature change per hour of -2.708 degrees Fahrenheit per hour.
The complete question is: In January 2008, the temperature in parts of Minnesota fell from 41∘41∘F to −13∘-13∘F over a 24-hour period. What was the average temperature change per hour?
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suppose you draw 60 cards, with replacement, from a standard deck. i) what is the probability that you draw exactly 3 aces? ii) what is the expected number of aces?
Answers
i) The probability of drawing exactly 3 aces is 0.24.
ii) The expected number of aces drawn is approximately 4.62
Aces Probability Expectationi) The probability of drawing exactly 3 aces out of 60 cards, with replacement, from a standard deck is given by the binomial probability formula:
(n choose k) * (p^k) * (1-p)^(n-k)
where n is the total number of trials (60), k is the number of successful trials (3), p is the probability of success on a single trial (4/52 or 1/13) and 1-p is the probability of failure on a single trial (48/52 or 12/13).
So the probability of drawing exactly 3 aces is:
(60 choose 3) * (1/13)³ * (12/13)⁵⁷ = 0.24.
ii) The expected number of aces is given by:
n * p = 60 * (1/13) = 4.62.
So the expected number of aces drawn is approximately 4.62.
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Sally is 3 years older than Jim. Jim is 18 years old. After correctly carrying out the Solve step of the five-step problem-solving plan, which solution should you arrive at to find Sally's age? 18 21 24 27
Answers
Answer:
Step-by-step explanation:
Jim is 18
Sally: 3 years older than Jim
18 + 3 = 21
eight hundred thirty four thousandths in decimal form:
Answers
The given number can be written as 0.834 in decimal form.
What is a decimal form?"Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point."
Given number is eight hundred thirty four thousandth.
Here, thousandth is represented as \(\frac{1}{1000}\).
Therefore, in decimal form the given number can be written as
\(\frac{834}{1000} \\= 0.834\)
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Use the divergence theorem to find the outward flux of F across the boundary of the region D. F = (5y ? 4x)i -(4z ? 5y)j - (3y ? 2x)k D: The cube bounded by the planes x= plus or minus 1, y= plus or minus 1, and plus or minus 1 The outward flux is
Answers
The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.
The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.
Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.
Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.
In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.
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A chemist has 13 1/3 fluid ounces of a solution. How many containers can he fill if each container holds 5/12 ounces?
Answers
The weight of the solution is 13 1/3 ounces.
Each container can contain 5/12 ounces.
The number of container required can be determined as,
\(\begin{gathered} N=\frac{13\frac{1}{3}}{\frac{5}{12}} \\ =\frac{\frac{40}{3}}{\frac{5}{12}} \\ =\frac{40}{3}\times\frac{12}{5} \\ =32 \end{gathered}\)Thus, the requried number of containers is 32.
Step by step
13 1/3 total divided by 5/12 containers
40/3 divided by 5/12
When you divide fractions you flip the divisor and multiply
40/3 x 12/5 = 32 containers of 5/12 ounces
A store manager wants to estimate the proportion of customers who spend money in this store. How many customers are required for a random sample to obtain a margin of error of at most 0.075 with 80% confidence
Answers
The 73 customers who spend money in this store if margin of error of at most 0.075 with 80% confidence.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
\(\rm MOE = Z\times \dfrac{s}{\sqrt{n}}\)
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We have p = 0.50 MOE = 0.075
Z = 1.282 at 80% confidence from the Z table.
\(\rm 0.075 = (1.282)\sqrt{\dfrac{0.50(1-0.50)}{n}}\)
After solving, we get:
n = (0.5)(0.5)/(0.0585)²
n = 73
Thus, the 73 customers who spend money in this store if margin of error of at most 0.075 with 80% confidence.
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Given right triangle RST, what is the value of sin(S)? Five-thirteenths Five-twelfths Twelve-thirteenths Thirteen-twelfths
Answers
Answer:
5/13
Step-by-step explanation:
The measure of sin S is Five-thirteenths, the correct option is A.
What is a Right Angled Triangle?A right triangle is a triangle in which one of the angle measures to 90 degree.
The sides of a right triangle are called base, perpendicular and hypotenuse.
The triangle has side lengths 5,12, and 13.
The value of sin x = Perpendicular / Hypotenuse
sin S = 5 / 13
It seems that your question misses the figure of the triangle, the complete question is attached with the answer.
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Determine whether each linear expression is a factor of the polynomial.
X^4+x^3-17x^2+15x
A. X+3
B. X+5
C. X-1
Answers
Find the divergence of the vector field. F(x, y, z) = 5x²7 - sin(xz) (i+k)
Answers
The divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).
To find the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k, you need to take the divergence operator (∇ · F).
The divergence of a vector field in Cartesian coordinates is given by the following formula:
∇ · F = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z),
where Fx, Fy, and Fz are the x, y, and z components of the vector field F, respectively.
In this case, we have:
Fx = (5x^2 + 7 - sin(xz)),
Fy = 0, and
Fz = (5x^2 + 7 - sin(xz)).
Taking the partial derivatives, we get:
∂Fx/∂x = 10x - zcos(xz),
∂Fy/∂y = 0, and
∂Fz/∂z = 10x - zcos(xz).
Now, substituting these derivatives into the divergence formula, we have:
∇ · F = (10x - zcos(xz)) + 0 + (10x - zcos(xz)).
Simplifying further, we get:
∇ · F = 20x - 2zcos(xz).
Therefore, the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).
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Will give crown help
Answers
Answer:
(2,-8)
Step-by-step explanation:
(2,-8)
the graph below shows the hourly wage of tina when she was working summer from high school through collage
Answers
The years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
Calculating rate of payFrom the question, we are to determine the years in which her raise was more than $0.50 an hour over the previous year
Considering the graph
From year 2001 to 2002Her raise was $6.50 - $5.50 = $1.00
From year 2002 to 2003Her raise was $7.00 - $6.50 = $0.50
From year 2003 to 2004Her raise was $7.75 - $7.00 = $0.75
From year 2004 to 2005Her raise was $8.50 - $7.75 = $0.75
From year 2005 to 2006Her raise was $10.50 - $8.50 = $2.00
From year 2006 to 2007Her raise was $11.50 - $10.50 = $1.00
Hence, the years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
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kyle has x -3ounce blue marbles and 5 ounce green marbles. lara has 5-ounce green marbles and 3-ounces of blue marbles. is it possible for kyle and lara to have the same number of green marbles and the same total bag weight ,y? explain
Answers
Answer:
yes
Step-by-step explanation:
if x=6, 6-3=3 , so it is possible if x is 6
Shannon bought a new shirt
for $8.50 at Target. If the original price
was $13.50, what % discount did she
receive?
Answers
Answer: 38%
Step-by-step explanation: First, we subtract $8.50 from $13.50 to get the discount of $5. Then divide this by the original price to get 0.38 (rounded). Multiply this by 100, and we get 38, which means Shannon received a 38% discount. If this is wrong, it will be 37% because the number I rounded to get 0.38 was originally 0.37037037 repeating.
Answer:
37%
Step-by-step explanation:
To find what is the percent of the discount she receive we have to use an formula;
Discount Formula: (Original price - Discounted price) / Original price x 100
Using the formula we can find the answer.
Knowing that;
Original price: 13.50
Discounted price: 8.50
Thus,
13.50 - 8.50 / 13.50 x 100
= 37.037037037
Round - 37%
As a result, Shannon received a 37% discount.
Lenvy~
2/15/2023
Determine whether each ordered pair is a solution of the inequality. 2x + y >4
Answers
Answer:
2x + y > 4
(1,3) → 2(1) + 3 = 5 > 4 -- solution
(2, 0) → 2(2) + 0 = 4 = 4 -- not a solution
(4, -5) → 2(4) - 5 = 3 < 4 -- not a solution
(-1, 8) → 2(-1) - 8 = -10 < 4 -- not a solution
PLEASE OMG HELP FOR POINTSSSS
Answers
Answer:
I think B or D
Step-by-step explanation:
The probability of choosing a 5 and then a 6 is ___
Answers
Answer:
The probability of choosing a 5 and then a 6 is likely.
I only need the two equations
Answers
The required two equations are
6c+9d = 117
4c+7d = 87
Given that, cat and dog food are purchased weekly.
6 bags of cat food and 9 bags of dog food were purchased last week.
4 bags of cat food and 7 bags of dog food are purchased this week.
Assuming the prices of them have not changed over the weeks.
Cost of cat food is taken as c and the cost of dog food is taken as d.
The system of equations that can be written are
6c+9d = 117
4c+7d = 87
On solving the system of equations, we get,
c= 6 dollars
d= 9 dollars
Thus, the cost of cat food is 6 dollars and the cost of dog food is 9 dollars.
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what is the point-slope form of a line with slope -4 that contains the point (2,-8)
Answers
Answer:
y+8 = -4(x-2)
Step-by-step explanation:
The point-slope form of a line is:
y-y1 = m(x-x1) where (x1,y1) is a point on the line and m is the slope.
y - -8 = -4(x-2)
y+8 = -4(x-2)
^question :(((((((((
Answers
Answer:
H = 43
Step-by-step explanation:
t = 35
35 divided by 5 is 7
50 - 7 = 43
your welcome!
True or False?
-6 is a solution for -4x > 16
Answers
Answer:
True
Step-by-step explanation:
-4x > 16
Divide each side by -4, remembering to flip the inequality since we are dividing by a negative
-4x/-4 < 16/-4
x < -4
-6 is less than -4 so -6 is a solution to the inequality
Answer: True
Step-by-step explanation:
It equals 24>16
Ms. Mazzei has a farm on 12 acres of land. She wants to create animal pens that are each 3/11 of an acre. How many pens can Ms. Mazzei have in the 12 acres?
Answers
Ms. Mazzei can have 44 animal pens in her 12 acres of land.
Describe Algebra?Algebra is a branch of mathematics that deals with the manipulation and properties of mathematical expressions, including variables and symbols representing numbers, as well as the rules governing their relationships and operations.
Algebraic equations typically involve variables, which are represented by letters or symbols, and are used to express relationships between different quantities or unknowns. These equations can be manipulated using algebraic operations such as addition, subtraction, multiplication, division, and exponentiation to solve for the value of the variables.
The study of algebra includes a wide range of topics, including linear algebra, abstract algebra, number theory, and algebraic geometry. It is a fundamental part of mathematics and plays a crucial role in many areas of modern science and technology.
To find the number of animal pens Ms. Mazzei can have in 12 acres of land, we need to divide the total area by the area of each pen:
Number of pens = Total area / Area of each pen
Total area = 12 acres
Area of each pen = 3/11 acres
Number of pens = 12 / (3/11)
Number of pens = 44
Therefore, Ms. Mazzei can have 44 animal pens in her 12 acres of land.
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Given 2 and 1 over 10 times negative seven times 5 over 12, determine the product.
Answers
The product of 2 and 1/10 times -7 times 5/12 is -7/12, which is a fraction.
The product of 2 and 1/10 times -7 times 5/12 can be found stepwise by multiplying the numbers together.
1. Convert the mixed fraction 1/10 to an improper fraction: 1/10 = 1 ÷ 10 = 1/10.
2. Multiply the numbers together: 2 × 1/10 × -7 × 5/12 = -70/120.
3. Simplify the fraction: -70/120 = -7/12.
Therefore, the product of 2 and 1/10 times -7 times 5/12 is -7/12.
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O points
Maria is planning a party for her friends. Sally's Kitchen charges a fee of
$60 to set up and then $12 per plate. Jimmy's BBQ and Steak charges a fee
of $100 to set up and then $10 per plate. At how many plates will the cost
of Sally's and Jimmy's be the same? How many plates will the cost of
Sally's and Jimmy's be the same? *
Answers
Answer:
20 Plates
Step-by-step explanation:
Given that :
Sally's kitchen :
Setup cost = $60
Cost per plate = $12
Jimmy's BBQ :
Setup cost = $100
Cost per plate = $10
Let number of plates = x
Equate both and solve for x :
Sally's kitchen = Jimmy's BBQ
60 + 12x = 100 + 10x
12x - 10x = 100 - 60
2x = 40
x = 40/2
x = 20
20 plates
What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.
Answers
Answer:
V=1582.56 cubic cm
Step-by-step explanation:
Let x be an integer. Prove that if x is not divisible by 3, then
(x + 1)(x + 2) is divisible by 3
Answers
Answer:
(x + 1)(x + 2) is divisible by 3.
Step-by-step explanation:
Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.
Case 1: r = 1
If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):
(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)
= (3k + 2)(3k + 3)
= 3(3k^2 + 5k + 2)
We can see that (x + 1)(x + 2) is divisible by 3.
Case 2: r = 2
If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):
(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)
= (3k + 3)(3k + 4)
= 3(3k^2 + 7k + 4)
We can see that (x + 1)(x + 2) is divisible by 3.
Hence, the statement is proven.
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ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answers
Answer:
Question 1:
A) Perpendicular
Question 2:
B) y = -8 and y = 2
A study of the annual population of bees in a county park shows the population, B(t), can be represented by the function B(t)=182(1.065)t, where the t represents the number of years since the study started. Based on the function, what is the growth rate?
Answers
The function \(B(t) = 182(1.065)^t\) represents the annual population of bees in a county park, the growth rate is 6.5%.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
From the function \(B(t) = 182(1.065)^t\):
b = 1.065
Growth rate = 1.065 - 1 = 0.065 = 6.5%
The function \(B(t) = 182(1.065)^t\) represents the annual population of bees in a county park, the growth rate is 6.5%.
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