A regular hexagon and a regular pentagon have the same perimeter. All
measurements are given in centimetres.
The hexagon has a side length given by 7m +3.
The pentagon has a side length given by 8m + 6.
Work out the value of m.
Answer: The correct answer is m=6.
Step-by-step explanation:
Hexagon (6-sided) = (7m+3)*6
Pentagon (5-sided) = (8m+6)*5
Solve the equation:
(7m+3)(6)=(8m+6)(5)
1. Simplify both sides of the equation.
(7m+3)(6)=(8m+6)(5)
(7m)(6)+(3)(6)=(8m)(5)+(6)(5)(Distribute)
42m+18=40m+30
2. Subtract 40m from both sides.
42m+18−40m=40m+30−40m
2m+18=30
3. Subtract 18 from both sides.
2m+18−18=30−18
2m=12
4. Divide both sides by 2.
2m/2=12/2
m=6
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Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)
If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.
A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :
g(x) = {-(1/2)x + 1, for x<-2
= {-(x+1)², for -2≤x≤1
= {4 for x>1
We have to find the value of g(-5) ,g (-2), and g(-1),
For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,
⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,
For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function
"-(x+1)²" will be used,
⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,
For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,
⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,
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A limousine company charges $1.50 per mile plus a mandatory $25 tip. Ms. Warwick gave the limousine driver a total of $62.50. What is the total miles driven and the equation to solve it?
Answer:
25 total miles the equation is 1.50x+25=62.50
Step-by-step explanation:
Answer:25 MILES driven
subtract 25 from 62.50 which is 37.50.
Then: Divide 37.50 to 1.5 which is 25.
Step-by-step explanation:
The table below shows the number of pages Stephen read by hour. If you were to graph the data it would be a proportional relationships. What is the slope of the data?
Number hours Stephen read Number of pages Stephen read
3 96
4 128
6 192
9 288
12 384
Answer:
32
Step-by-step explanation:
divide each number and you get 32 for all of them which gives you the slope i think
1. Which number does NOT represent a whole number
A. 25
B. 13
C. 150 over 3
D. 3.5
2. Which of the following is a rational number but is NOT an integer
A. 8
B. 24
C. 40 over 4
D. 6.2
true or false? like terms have the same variable and the same exponent.
HELPPPPPPP PLEASEEEEEEEE
Answer:
the answer I got is 6-6r
Find the slope of the line that is perpendicular to the line that passes through the points (5,3) and (8,1)
Robin weighs her math textbook and finds that it is 2 kilograms. How many grams does her textbook weigh?
Answer:
2000
Step-by-step explanation:
1 kilogram is 100 grams therefore 2 kilo grams is equal to 2000 grams
The word kilo means thousand in Greek and i think French
:)
Answer:
2,000 grams :)
Steps to put (x-10)(x-3) in standard form
The expression (x-10)(x-3) in standard form is x^2 - 13x + 30. The quadratic term comes first, followed by the linear term, and finally the constant term.
To put the expression (x-10)(x-3) in standard form, we need to expand it and simplify any like terms. Here are the steps:
Start with the given expression: (x-10)(x-3).
Use the distributive property to expand the expression. Multiply each term in the first set of parentheses by each term in the second set of parentheses:
x(x-3) - 10(x-3).
Apply the distributive property further to simplify the expression:
x^2 - 3x - 10x + 30.
Combine like terms: -3x - 10x = -13x.
Rewrite the expression in standard form by arranging the terms in descending order of degree:
x^2 - 13x + 30.
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Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
the objective function of linear programming model should be
The objective function of a linear programming model should be to maximize or minimize the numerical value.
What is the objective function?The objective function consists of linear functions which are subjected to constraints in the form of linear equations or in the form of inequalities.
The objective function is always stated as z = ax + by.
The numerical value may be the:
Cost of a projectProduction quantityProfit valueMaterials savings.Thus, the objective function of a linear programming model, which is always linear, is to maximize or minimize a numerical value.
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Using the following prices, calculate the unit price to determine how much it would cost for 7 muffins and 14 juice boxes. $7.74 for 6 muffins $5.52 for 8 juice boxes a. $18.69 b. $19.89 c. $21.91 d. $26.52
Answer: 18.69
Step-by-step explanation: just dont matter honeslty
Answer:
18.69
Step-by-step explanation:
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Step-by-step explanation:
3^6 = 3 * 3^5
= 3 * 243 = 729
How do I find the slope given two points on a line?
Answer:
you find the slope by using this equation = y2 - y1 / x2 - x1.
For example, if you had two points, (2,4) and (3,6)
2 will be x1 because it's your first x. 3 will be x2 because it's your second x.
So with that pattern, 4 will be y1 and 6 will be your y2.
So the equation will be 6-4 / 3-2. That will equal 2/1 so the slope is 2.
Hope this helped.
Please help, this is on final. I need how you got the answer and what the answer is.
Answer:
Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.
Step-by-step explanation:
Answer:
I can't see it that wel..?m
10 – 9 x 24 ÷ 8 x 6 Solve With Pemdas
Answer:
The answer is − 152
Step-by-step explanation:
That was found using PEMDAS.
Answer:
-152
Step-by-step explanation:
use pemdas method
The straight line distance between two points is known as its
Answer:In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points
Step-by-step explanation:It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, therefore occasionally being called the Pythagorean distance.
please help it’s due tomorrow
[x + y = -4
[x - y = 2
Answer:
which one substitution or elimination
Step-by-step explanation:
Substitution: (-1,-3 )
Elimination: (-1,-3)
i hope this helps you :)
Please mark me brainlest
The population of a rabbit colony triples every 3 days. The population starts at 10 rabbits. Write an exponential function that will model the population of the colony after, t, days have passed.
Answer:
DO not working in you
Step-by-step explanation:
PLEASE help me in answering
Answer:
Step-by-step explanation:
The population at various days is as follows since population triples every 3 days
Day Population
0 10
3 30
6 90
9 270
.... ......
This can be modeled by the general equation
\(n_{t} = n_{0}(r)^{t/k}\)
where
\(n_{t}\) is the population after t days
\(n_{0}\) is the population at start (10)
\(r\) is the rate at which population changes ie 3
\(t\) is the number days from start
\(k\) is the number of days at which the population triples(here k =3 days)
We can check this by plugging in values for each of the variables
At day 0, population = 10(3)⁰ = 10. 1 = 10
Similarly populations for days 3, 6, 9 are:
\(\\\\10.3^{3/3} = 10. 3^1 = 10.3 = 30\\10.3^{6/3} = 10. 3^2 = 10.9 = 90\\\\10.3^{9/3} = 10. 3^3 = 10.27 = 270\)
please ????? help mdjshd
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 62% C: Scores below the top 38% and above the bottom 19% D: Scores below the top 81% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 77.5 and a standard deviation of 8.6. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer:
The minimum score required for an A grade is 88.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
\(\mu = 77.5, \sigma = 8.6\)
Find the minimum score required for an A grade.
This score is the 100 - 12 = 88th percentile, which is X when Z has a pvalue of 0.88. So X when Z = 1.175.
\(Z = \frac{X - \mu}{\sigma}\)
\(1.175 = \frac{X - 77.5}{8.6}\)
\(X - 77.5 = 8.6*1.175\)
\(X = 87.61\)
Rounding to the nearest whole number:
The minimum score required for an A grade is 88.
Factor completely
2x^5-7x^5/2+6
after simplifying yhe expression 2 x ⁵ - 7 x ⁵ / 2 + 6, we get the result as - 3 / 2 ( x⁵ - 4).
We are given the expression :
2 x ⁵ - 7 x ⁵ / 2 + 6
We need to factorize the expression completely.
Taking LCM, we get that,
4 x⁵ - 7 x⁵ + 12 / 2
combining the like terms, we get that,
- 3 x ⁵ + 12 / 2
taking - 3 common from the expression, we get that
- 3 / 2 ( x⁵ - 4)
Therefore, after simplifying yhe expression 2 x ⁵ - 7 x ⁵ / 2 + 6, we get the result as - 3 / 2 ( x⁵ - 4).
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What change do you have to make to the graph of f (x) = 7x in order to graph the function g (x) = 7x+10?
To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.
To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.
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help me on it mate pls
3x-4y=12 best describes the graph of the line.
What is linear equation?A linear equation in mathematics is an equation that can be written as a1x1+....+anxn+b=0 where x1...,xn are the variables (or unknowns). where the coefficients are b, a 1,..., an, often real quantities.You can think of the coefficients as the equation's parameters because they can be any expressions as long as they don't contain any of the variables.The coefficients equation must make sense if all of "a1,...,an" and "an" are not 0.Equalizing a linear polynomial over a field, from which the coefficients are drawn, to zero is another way to construct a linear equation.The numbers that, when used to replace the unknowns in such an equation, result in the equality, are the solutions.Hence, 3x-4y=12 best describes the graph of the line.
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6
7 points
Jason is pulling a box across the room. He is pulling with a force of 20 newtons and his arm is
making a 58 angle with the horizontal, what is the vertical component of the force he is pulling
with?
Type your answer...
7
7 points
One force of magnitude 77 acts on an object. Another force of magnitude 68 acts on the object at a
right angle, what is the magnitude of the resultant force on the object?
Type your answer...
8
6 points
A person is pushing on a car with a force of <-12,-19> and another person is pushing on a car with a
force of <-24,-7>. What is the net force in the horizontal direction?
Answer:
I don't know sorry
sorry
Step-by-step explanation:
I don't know sorry
sorry
A small town has six police cars. When a call comes in, the dispatcher may dispatch no cars, one car, two cars, three cars, four cars, five cars, or all six cars. If a call is received, how many ways may the dispatcher respond?
Answer:
7 Ways
Step-by-step explanation:
Have a Nice Day!
Answer:
64 ways
Step-by-step explanation:
Basic possibility table/using math, and calculating
The Phillips family had three cats. They needed to split 20 ounces of cat food among 3 cats how much cat food would each cat get?
Answer:
Below.
Step-by-step explanation:
20 divided by 3.
Because there are 3 cats and 20 ounces of cat food so.
20/3= 6.666667 Ounces of food for each cat.
Under certain air conditions, the air temperature drops about 3.8°F for each 1,000-foot rise in altitude. Complete parts (A) and (B) below.
(A) If the temperature at sea level is 63°F, write a linear equation that expresses temperature T in terms of altitude A in thousands of feet.
(B) At what altitude is the temperature 9.8°F?
***
(A) If the temperature at sea level is 63°F, write a linear equation that expresses temperature T in terms of altitude A in thousands of feet.
Answer: A) T = 63 - 3.8A (where T is the temperature in °F, A is the altitude in thousands of feet)
(B) To find the altitude when the temperature is 9.8°F, we can substitute 9.8 for T and solve for A:
9.8 = 63 - 3.8A
3.8A = 63 - 9.8
3.8A = 53.2
A = 14
Step-by-step explanation: