The area of the regular pentagon given a side of 10 in is 172.0 in².
What is the area?A pentagon is an object that is made up of five sides. The sum of the internal angles of a pentagon is 540 degrees.
Area of a pentagon = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] a²
Where a = side = 10
A = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] 10²
A = 172.02 in²
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If you apply the changes below to the quadratic parent function, f(x) = x2², what is the equation of the new function? Shift 3 units right. Vertically stretch by a factor of 4. • Reflect over the x-axis. O A. g(x) = 4x² + 3 OB. g(x) = -4(x - 3)² O C. g(x) = -4(x+3)² O D. g(x) = (-4x - 3)²
Answer:
B. g(x) = -4(x - 3)²
Step-by-step explanation:
Given :
f(x) = x²On shifting 3 units right :
g(x) = (x - 3)²On stretching vertically by a factor of 4 :
g(x) = 4(x - 3)²On reflecting over the x-axis :
g(x) = -4(x - 3)²Vertically strech by 4 means it's should be multiplied with -a and a =4
So
y=-4x²Shifted 3 units right means change in x
So
it should be
-4(x-3)²Option B
calculate mpg for w=1000,w=2000;calculate weight when mpg=30
Based on the information above, the car with 1,000 pounds more will only go 1,194 miles, and the one with 2,000 pounds more will only go 1,188 miles.
What does MPG stand for?MPG stands for miles per gallon, and refers to the distance in miles a vehicle travels for each gallon of fuel in its tank.
In general, a car consumes about 1,200 miles per gallon. However, when you add load to it, its fuel consumption is higher because it requires more force to move.
Additionally, some studies state that for every 1,000 pounds of weight added to the car, it will yield 0.5% less. So if the car has 1,000 more pounds, it's not going to go 1,200 miles per gallon, it's going to go 1,194 miles.
On the other hand, if 2,000 pounds of weight were added, the fuel economy would be 1% less, that is, it would travel 1,188 miles per gallon.
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what is 2x3x5x6? havin trouble
The focus of a parabola is (2, 5) and the directrix is y = 3. Find the equation of the parabola in standard form.
The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)
How to derive the equation of a parabola
Since the directrix is a horizontal line, then we have a parabola with a vertical axis of symmetry. The standard equation of the parabola is described below:
y - k = [1/(4 · p)] · (x - h)² (1)
Where:
(h, k) - Location of the vertex.p - Distance between vertex and focus.By analytical geometry we understand that the least distance between the focus and the directrix is twice as the distance between the vertex and the focus. First, we find the coordinates of the vertex:
V(x, y) = 0.5 · F(x, y) + 0.5 · D(x, y)
V(x, y) = 0.5 · (2, 5) + 0.5 · (2, 3)
V(x, y) = (1, 2.5) + (1, 1.5)
V(x, y) = (2, 4)
By Pythagorean theorem we find that the distance between vertex and focus is 1. Then, the equation of the parabola in standard form is:
y - 4 = 0.25 · (x - 2)²
y - 4 = 0.25 · (x² - 4 · x + 4)
y - 4 = 0.25 · x² - x + 1
y = 0.25 · x² - x + 5
The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)
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Simplify the expression (5 ÷ 5) + 5x (5²-5)
PLEASE HELPPPPPPP
What is the approximate area of the shaded region?
Answer:
69.53
Step-by-step explanation:
I did it on my calculator.
Find the slope of the line passing through (-8, 10) and (-8, -7).
Slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{-7-10}{-8+8}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{-17}{0}[/tex]
[tex]\\ \rm\dashrightarrow m=\infty[/tex]
[tex] \frac{y2 - y1}{ x 2 - x1} \\ \frac{ - 7 - 10}{ - 8 + 8} \\ \frac{ - 17}{0} [/tex]
Slope is undefined
Find the value of each card and put them in order, from lowest to highest.
Answer:
The highest is 1 but i cannot work out the rest
Step-by-step explanation:
Bidmas
Sonya's heart rate was 76 beats per minute.
She ran a mile on her treadmill and checked
her heart rate again. This time, her heart rate
was 133 beats per minute. What was the
percent increase in Sonya's heart rate?
Answer:
75 percent
Step-by-step explanation:
To find percent increase, do (final-initial/initial) * 100.
This would be 133-76/76 * 100, meaning you get a 75 percent increase.
The percent increase is 75 %.
What is Percent increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
Sonya's heart rate was 76 beats per minute.
After running, heart beat rate= 133 beats per minute.
So, percent increase
= (133- 76)/ 76 x 100
= 0.75 x 100
= 75%
Hence, the percent increase is 75 %.
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Simplify:
4 + (15 - 14) x 6
Answer:
First you start with what is in the ( ). 15- 14 is 1. then you do multiplication next. 1* 6. is 6. now you do addition. 6 + 4 = 10
PLEASE HELP ME. NO PHONY ANSWERS TY, ANSWER IF YOUR 100% RIGHT!
A sample of 317 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified
according to major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table bel
Biology Business Engineering Mathematics
Computer science
Female 17
22
27
36
41
Male
19
45
29
34
47
Among all the students in the sample, what is the relative frequency of female mathematics majors?
Round your answer to two decimal places.
0
X
?
The relative frequency of female mathematics majors will be 0.5142.
How to find the relative frequency?The proportion of the examined subgroup's value to the overall account is known as relative frequency.
A sample of 317 students at a university is surveyed.
The students are classified according to gender (“female” or “male”).
The table is given below.
Then the relative frequency of female mathematics majors will be
⇒ 36 / (36 + 34)
⇒ 36 / 70
⇒ 0.5142
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What is the value of x
If you know how to solve please show work! Please help
Answer:
35
Step-by-step explanation:
x+8+243/2
x+251/2
x+251/2=4x+3
cross multiply
x+251=2(4x+3)
x+251=8x+6
x-8x=6-251
-7x=-245
x=-245/-7
x=35
Every Fraction can be written as a decimal that will be either a/an________ decimal number or a/an _________ decimal number
Answer:
Every fraction can be written as a decimal that will be either a decimal number or a decimal number
Hehe hope its helpful :-P
If C=m+1C=m+1 and B=m+5,B=m+5, find an expression that equals 2C+3B2C+3B in standard form.
The value of the expression 2C+3B is 5m + 7
How to evaluate the expression?The given parameters are:
C = m + 1
B = m + 5
To evaluate the expression 2C+3B;
We substitute C = m + 1 and B = m + 5
So, we have:
2C+3B = 2 * (m + 1) + 3 * (m + 5)
Expand
2C+3B = 2m + 2 + 3m + 15
Evaluate the like terms
2C+3B = 5m + 7
Hence, the value of the expression 2C+3B is 5m + 7
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Write a definition for alternate interior angles.
Answer:
Alternate interior angles are the angles formed on the opposite sides of the transversal. In other words, when two parallel lines are intersected by a transversal, eight angles are formed.
Step-by-step explanation:
I hope this checks out
show that 12 cos 30 +2tan 60
Answer:
cant draw on this
Step-by-step explanation:
show the problem
Question 2 of 40
How much more will $16,500 earn in interest than $15,000 if both are
invested in savings accounts with APYS of 4.1% for a year?
OA. $61.50
OB. $156.15
OC. $52.05
OD. $20.50
Please do step by step as to how you got the answer
Answer:
A
Step-by-step explanation:
We are asked to find the amount of interest earned on $16,500 than $15,000 with APYs of 4.1% for a year.
We will use simple interest formula to solve our given problem.
I= prt
i= amount of interest
p=principal amount
r= interest rate in decimal form
t= time in years
4.1%= 41/100= 0.041
$16,500 times 0.041 - $15,000 times 0.041
(16,500- 15,000) times 0.041
(1,500) times 0.041
So the answer is $61.50
I hope this is right, have a nice day.
What two congruent triangles share the side AC?
△AEB and △CEB
△GFA and △GDC
△ADC and △CFA
The two congruent triangles that share the side AC are (c) △ADC and △CFA
How to determine the congruent triangles?For two triangles to share the sides AC, then the points A and C must appear on the names of the triangles
In option (c), we have A and C in the names of the triangles ADC and CFA
Hence, the two congruent triangles that share the side AC are (c) △ADC and △CFA
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please help with math
Answer:
34
Step-by-step explanation:
3*(2*2*2)+10
3*(8)+10
24+10
34
Monday
The solution of 87e0.3x = 5918, to the nearest
thousandth, is
A. 0.583
B. 1.945
C. 4.220
D. 14.066
Answer:
[tex]D) ~ 14.066[/tex]
Step-by-step explanation:
[tex]~~~~87e^{0.3x} = 5918\\\\\implies e^{0.3x} = \dfrac{5918}{87}\\\\\implies \ln\left(e^{0.3x} \right)=\ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x \ln e = \ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x = \ln \left( \dfrac{5918}{87} \right)\\\\\implies x = \dfrac{\ln \left( \dfrac{5918}{87} \right)}{0.3}\\\\\implies x \approx14.066[/tex]
Drag the tiles to the correct boxes to complete the pairs. Match each inequality to the number line that represents its solution
The correct match of the inequalities will be given as:-
A ( x - 51 ≤ 43
B ( x -99 ≤ -104
C ( 75 < 69 - x )
D ( 150+x ≤ 144 )
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The correct pair of the inequality will be calculated as:-
A ( x - 51 ≤ 43) x ≤ 8
B ( x -99 ≤ -104 x ≤ -5
C ( 75 < 69 - x ) x < -6
D ( 150+x ≤ 144 ) x ≤ -6
Hence the correct order is explained above.
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Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
The graphs with no solutions are the ones with no intercepts between the curves. These are the first one and the last one.
Which graphs indicate equations with no solutions?If we have an equation like:
f(x) = g(x).
One way of finding the solutions is to graph:
y = f(x) and y = g(x) and see where the two curves intercept.
From that, the graphs where the curves do not intercept are the graphs that indicate that the equations have no solutions.
The two graphs with no intercepts are the first one (top left) and the last one (bottom right), so these are the correct options.
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Answer:
kid named finger
Step-by-step explanation:
I simply just used a form of alien math solving and I got my answers but I'm not willing to share
You speak to a business owner that is taking in almost $2,000 in revenue each month. The owner still says that they're
having trouble keeping the doors open. How can that be possible? Use the terms revenue, expenses, and profit/loss in
your answer.
Answer:
The reason why this may be happening is because the expenses may be higher than the amount of revenue that the business is making, the cost of rent, paying the employees and running the business may be higher than the revenue that is being made. The inflows may be higher than the outflows, in which case the profit is lower than the loss and may be the reason why the owner is having trouble keeping the business running.
Help pleaseeeee. ill give 10 points
a sample of the students at a middle school is selected by writing the name of every student in the school on a slip of paper and putting all the names into a bin. the bin is then rotated to mix the slips of paper and 25 names are drawn without looking. if the bin is rotated after every draw, which kind of sampling method is this?
a. non-random sampling
b. simple random sampling
c. stratified random sampling
d. systematic random sampling
Answer:B
Step-by-step explanation: it's because you're choosing random peoplepeoplepeople
Which equation represents a linear function That is shown on the graph below?
Which represents a perfect cube? 8 times 8 times 8 8 8 8 9 times 9 times 9 times 9 9 9 9 9 9
Answer:
by o of u 999987ui87 u ko9h u kgnnh b mjuokkwuij
Can somebody solve this please?
Answer:
220
Step-by-step explanation:
Now, I'm not sure if 220 is correct, but I'll explain my reasoning.
We know three angles of a triangle add up to 180 degrees.
So, the smaller triangle has 70 degrees and a and b variables. By virtue, a + b + 70 = 180.
So, a + b = 110.
Likewise, when you look at the whole triangle, 70 degrees is also one of the angles while c and d are unknown.
So, c + d + 70 = 180.
This means c + d = 110.
So, (a + b ) + (c + d ) =
110 + 110 =
220 degrees.
I hope this helps!
Answer:
110
Step-by-step explanation:
a + b + c + d = 110
Triangle will always equal 180 degrees triangle = 180
180 - 70 = 110
1. Solve the equation 2x ^ 3 + 7x ^ 2 - 10x - 24 = 0 in the real number system
The solution to the given equation in the real number system is x = 2 or x = -4 or x = -3/2
What is a real number system?A real number system comprises rational numbers, irrational numbers, integers, and whole numbers. When solving a polynomial in a real number system, we need to first factor the polynomial by grouping;
i.e.
= 2x³ + 7x ² - 10x - 24
= 2x³ + 11x² + 12x - 4x² - 22x - 24
= x(2x² + 11x + 12) - 2(2x² + 11x + 12)
= (x - 2) (2x² + 11x + 12)
= (x - 2) (2x² + 8x + 3x + 12)
= (x - 2) (2 (x² + 4x) + 3(x + 4))
= (x - 2) (2x (x + 4) + 3(x + 4) )
= (x - 2) (x + 4) (2x + 3)
In a real number system;
x = 2 or x = -4 or x = -3/2
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Find the product using Distributive property. 625 x 129 – 625 x 90
Answer:
63,750
Step-by-step explanation:
1. Simplify the expression
625*192-625*90
120000-625*90
120000-56250
63750
What is distributive propertyAn algebra property which is used to multiply one integer by one or more other integers inside a set of parentheses.What are order of operations The order in which operations in an expression to be evaluated are carried out.Why learn this:
Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!Terms and topics
Order of operations[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\textbf{Assuming that you meant}\bf\downarrow[/tex]
[tex]\mathbf{625\times129 - 625\times90}[/tex]
[tex]\large\textbf{If so, let's solve for the answer, shall we?}[/tex]
[tex]\mathbf{= \boxed{\bf 80,625} - 625\times90}[/tex]
[tex]\mathsf{= \bf 80,625 - \boxed{\bf 56,250}}[/tex]
[tex]\mathbf{= 80,625 - 56,250}[/tex]
[tex]\large\textbf{We have met your answer to this question.}[/tex]
[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{24,375}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Ten years ago, you invested most of the money you made during that summer into an Energy drink stock. You purchased $8,000 dollars worth of stock and it was initially projected to continuously compound by 2%. However, the Energy drink stock consistently declined by 3.65% each year until the present.
a) Write an equation to model this situation.
b) Estimate the value of the stock today. How much did you gain/lose?
c) Assuming the stocks rate of decline remains the same, approximate the number of years it will take for the value of the stock to
decrease by half.
A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.
EquationsGiven that ten years ago, you invested most of the money you made during that summer into an Energy drink stock, and you purchased $8,000 dollars worth of stock and it was initially projected to continuously compound by 2%, but, however, the Energy drink stock consistently declined by 3.65% each year until the present, for a) Write an equation to model this situation, b) Estimate the value of the stock today and how much did you gain/lose, and c) Assuming the stock rate of decline remains the same, approximate the number of years it will take for the value of the stock to decrease by half, the following calculations must be made:
A) 8000 x 0.9635 ^ Years = ValueB) 8000 x 0.9635^10 = X8000 x 0.6894 = X5515.78 = XC) 8000 x 0.9635 ^ X = 40008000 x 0.9635^18.64 = 4000Therefore, A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.
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Answer:
A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.
Step-by-step explanation: