What is the measure of AC ?
Answer:
Therefore the measure of[tex]\widehat{AC}[/tex] is [tex]39^\circ[/tex].
Step-by-step explanation:
Arc measure : In a circle the degree measure of an arc is equal to the measure of the central angle.
Here the value of central angle is [tex]39^\circ[/tex]
Therefore the measure of[tex]\widehat{AC}[/tex] is [tex]39^\circ[/tex].
Write each in ax^b form where n can be either positive or negative integer
Answer:
a. [tex]$ x^{-5} $[/tex]
b. [tex]$ 3x^{-2} $[/tex]
c. [tex]$ \frac{4}{3}x^4 $[/tex]
Step-by-step explanation:
We have to know the two results to compute the problems.
1. [tex]$ x^a . x^b = x^{a + b} $[/tex]
2. [tex]$ \frac{x^c}{x^d} = x^c . x^{-d} = x^{c - d} $[/tex]
a. [tex]$ \frac{x^3}{x^8} $[/tex]
Using (2), we get: [tex]$ \frac{x^3}{x^8} = x^{3 - 8}[/tex]
[tex]$ \textbf{= x}^{\textbf{5}} $[/tex]
b. [tex]$ \frac{6x}{2x^3} $[/tex]
[tex]$ = 3\frac{x}{x^3} $[/tex]
[tex]\textbf{= 3x}^{\textbf{-2}} $[/tex]
c. [tex]$ \frac{28x^6}{21x^2} $[/tex]
[tex]$ = \frac{4}{3}x^{6 - 2} $[/tex]
[tex]$ = \frac{\textbf{4}}{\textbf{3}}\textbf{x}^{\textbf{4}} $[/tex]
Hence, the answer.
Tipeni bought 100 shares in a bank for $35.60 each. He sold them two years later for $48.90 each and paid a brokerage fee of $32.95.
a) what is the profit made on these shares?
I need help with a please I’m dying
Yo sup??
no of shares=100
cost price=35.60
selling price=48.90
profit=(SP-CP)*100
=(48.9-35.6)*100
=1330
But since he loses 32.95 to the broker therefore net profit obtained is
=1330-32.95
=1297.05
Hope this helps
Final answer:
To calculate Tipeni's profit on selling the shares, subtract the total buying cost and brokerage fee from the total selling price. The profit made on these shares is $1297.05.
Explanation:
To calculate the profit Tipeni made on selling the shares, we need to find the total selling price of the shares, subtract the total buying price of the shares, and also account for the brokerage fee.
Calculate total buying cost: 100 shares × $35.60 per share = $3560.00
Calculate total selling price: 100 shares × $48.90 per share = $4890.00
Subtract the brokerage fee from the total selling price: $4890.00 - $32.95 = $4857.05
Subtract the total buying cost from the adjusted total selling price to get the profit: $4857.05 - $3560.00 = $1297.05
The profit made on these shares is $1297.05.
solve the system of equations 2x+2y=6z=8 5x+6y+5z=3 5x+6y+3z=5
Answer:
[tex]x=34,y=-27andz=-1[/tex]
Step-by-step explanation:
Given:
[tex]2x+2y+6z=8[/tex] equation:1
[tex]5x+6y+5z=3[/tex] equation:2
[tex]5x+6y+3z=5[/tex] equation:3
We have to find the value of x,y and z
Eliminating two variables to find the value of third variable
Subtracting equation:2 from equation:3
[tex]5x+6y+3z-(5x+6y+5z)=5-3[/tex]
[tex]5x+6y+3z-5x-6y-5z=2\\-2z=2\\z=-1[/tex]
Solving the equation:1 for 'x'
[tex]2x+2y+6z=8[/tex]
[tex]2x=8-2y-6z\\2x=8-2y-6(-1)\\2x=8-2y+6\\2x=14-2y\\x=7-y[/tex]
Putting x and z in equation 2
[tex]5(7-y)+6y+5(-1)=3\\35-5y+6y-5=3\\y+30=3\\y=3-30\\y=-27[/tex]
Putting the value of 'y' and 'z' in equation:2 to find the value of 'x'
[tex]5x+6(-27)+5(-1)=3\\5x-162-5=3\\5x-167=3\\5x=3+167\\5x=170\\x=\frac{170}{5}\\ x=34[/tex]
The values of x,y and z are
[tex]x=34,y=-27andz=-1[/tex]
Which of the following sets of values correctly completes the T chart for the equation Y =|3x+1|. -5,1,7
7,1,7
5,-1,-7
5,1,7
Option C:
5, 1, 7
Solution:
Given equation:
y = |3x + 1|
In the chart, x values are given as –2, 0, 2.
To find the value of y for the corresponding x given.
Substitute x = –2 in the equation of y.
y = |3(–2) + 1|
= |–6 + 1|
= |–5| (Absolute value of a negative number is positive)
y = 5
Substitute x = 0 in the equation of y.
y = |3(0) + 1|
= |0 + 1|
= |1|
y = 1
Substitute x = 2 in the equation of y.
y = |3(2) + 1|
= |6 + 1|
= |7| (Absolute value of a negative number is positive)
y = 7
Option C is the correct answer.
The values of y are 5, 1, 7.
The answer image of the table is attached below.
Answer:
7,1,7
Step-by-step explanation:
Rashid is standing 15 feet away from a tree. The height of the tree is 15 feet. What is the measure of ∠θ, which is the angle of elevation from Rashid's feet to the top of the tree?
You apply the formula of tan^-1(15÷15) wich gives you 45 degrees
A teacher's cabinet has 56 black dry erase markers and 14 red dry erase markers. Which proportion can be used to determine P the percent of dry erase markers that are red?
A=p\100 = 14\56
B=70 / 14 = 100 / p
C=p\14 = 56\100
D=70 / 56 = p\100
Answer:
D. 3b2 + 2b ≥ 56
Step-by-step explanation:
I just did the test too
The correct proportion to determine the percentage of red dry erase markers is 'p/100 = 14/56'. By cross-multiplying and simplifying, we find that 25% of the markers are red.
Explanation:In order to find the percent of dry erase markers that are red, it would be correct to use the proportion 'p/100 = 14/56'. This proportion represents 'p', the percent of red markers out of a total of 100, equal to the actual number of red markers (14) out of the total number of markers (56). Therefore, option A is correct. For example, if you cross-multiply and simplify, you can find the value of 'p' and hence the percentage ratio of red markers. Multiply 14 by 100 to obtain 1400 and then divide 1400 by 56 to obtain 25. Therefore, 25% of the dry erase markers are red.
Learn more about Proportions here:https://brainly.com/question/34018947
#SPJ2
What are the zeros of the quadratic equation y=5(2x-1)(x+3)
Answer:
x = 1/2 or -3
Step-by-step explanation:
to find the zeros, we need to find the values of x which would cause y to become zero,
i.e solve x for :
5(2x-1)(x+3) = 0 (divide both sides by 5)
(2x-1)(x+3) = 0
hence either
2x-1 = 0 (add 1 to both sides)
2x = 1 (divide both sides by 2)
x = 1/2 --> first zero
or
x+3 = 0 (subtract 3 from both sides)
x = -3 ----> 2nd zero
If the perimeter of the triangle is 32 cm what is the length of each two sides? Write and solve equation
Answer:
12 centimeters
Step-by-step explanation:
An isosceles triangle has two congruent sides which are legs(2 sides having same length )If x is length of each leg, then we ca write the equation like this
equation: x+x+8=32
combine like terms
2x +8 = 32
minus 8 from each side
2x=32-8
2x=24
divide both sides by 2
2x/2 = 24/2
x=12 centimeters
Lucia's back hurts! She figured out that the books in her backpack are 5 times heavier than the backpack itself. By what percent heavier is the backpack with the books inside, than the books by themselves?
Answer:
120%
Step-by-step explanation:
If the books in the bag are 5 times heavier than the bag itself then the books and the backpack together are 6 times heavier than the backpack itself, so the backpack with the books is (6 ÷ 5) × 100% = 120% heavier than the book by themselves.
Yo sup??
Let the weight of the backpack be y
and weight of books be x, then
x=5y
percentage heavier=((x+y)/x)*100
=6y/5y*100
=120%
Hope this helps.
What is 20 plus -14?
Answer:
6
Step-by-step explanation:
Use the order of operations and the digits 2, 4, 6, and 8 to create an expression with a value 2.
By using the expression 8 ÷ (4 + (6 - 2)), we can follow the order of operations with the digits 2, 4, 6, and 8 to achieve a result of 2.
Explanation:Tocreate an expression with a value of 2 using the digits 2, 4, 6, and 8, and following the order of operations, one possible solution involves basic arithmetic operations and a thoughtful approach to number manipulation. An example of such an expression is 8 ÷ (4 + (6 - 2)).
Here is the step-by-step explanation:
Start with the operation inside the innermost parentheses: 6 - 2 equals 4.Add this result to 4 (the next number outside the parentheses), which equals 8.Finally, divide 8 (the leftmost number) by the result from step 2, which also equals 2.This method strictly adheres to the order of operations, ensuring that operations within parentheses are done first, followed by division, to achieve the desired result.
Final answer:
An expression using the digits 2, 4, 6, and 8 to equal the value 2 is 16 / 8, achieved by manipulating the operations and order of the digits according to precedence rules and simplifying.
Explanation:
The question requires us to use the digits 2, 4, 6, and 8, along with the correct order of operations, to create an expression that equals 2.
One way to do this is to take advantage of the properties of division and multiplication, which have the same precedence level but are performed from left to right. Using these operations, we can come up with an expression such as 8 / (4 * (6 - 2)), which equals 2. Here's the step-by-step breakdown of the expression:
First, perform the operation within the innermost parentheses (6 - 2) = 4.Next, perform the multiplication operation within the outer parentheses using the result from the first step: 4 * 4 = 16.Finally, divide the number 8 by the result from the second step: 8 / 16 = 0.5.To reach the desired value of 2, flip the fraction to get the reciprocal which leads to 16 / 8 = 2.Thus, the expression that uses the digits 2, 4, 6, and 8 to yield a value of 2 is 16 / 8, after simplification.
Macon has 32 rocks in his collection. He has 4 times as many rocks as his brother. How many rocks does Macon’s brother have?
Answer:
8
Step-by-step explanation:
macon has 4 TIMES as many as his bro, so just divide 4.
32 / 4 = 8
0.05 is 1/10 the value of
A. 5
B. 0.005
C. 0.5
D. 50
Answer:
C.
Step-by-step explanation:
as 0.05 is 1/10 of a number, multiplying 0.05 by 10 will give you the number that when divided by 10 will give you 0.05. Hence just multiply 0.05 by 10 and you get 0.5.
calculate correct to three significant figures length of Arc with subtend an angle of 70 degrees at the centre of circle of radius 4 cm
Answer:
4.89 cm
Step-by-step explanation:
Formula for arc length = (angle/360)×2×pi×r
(70/360)×2×pi×4 = 4.89cm
Does anyone know this??
Answer:
The measure of an interior angle is
180° - 24° = 156°.
This polygon has 360°/24° = 15 sides.
The regular polygon has 24 sides, and each interior angle measures 165°.
The measure of an exterior angle of a regular polygon can be found using the formula: 360° divided by the number of sides.
For a polygon with 24 sides, each exterior angle measures (360° / 24) = 15°.
To find the measure of an interior angle in a regular polygon, we use the fact that the sum of exterior angles in any polygon is always 360°.
Since each exterior angle measures 15°, the corresponding interior angle measures (180° - 15°) = 165°.
The number of sides in a regular polygon can be calculated by dividing 360° by the measure of one exterior angle.
In this case, since each exterior angle measures 15°, the number of sides in the polygon is (360° / 15°) = 24.
Therefore, the regular polygon has 24 sides, and each interior angle measures 165°.
The probable question may be:
The measure of an exterior angle of a regular polygon is given below Find the measure of an exterior angle. The find the number of sides
24
What is the measure of an interior angle?
How many side does the polygon have?
the ratio of roses to lilies in a flower arrangement is 3 to 5. how many roses would there be if there were 24 total flowers in the arrangement?
Answer:
There would be 9 roses.
Step-by-step explanation:
The ratio began as 3 to 5 so in all there were 8 flowers.
If there are 24 , being that 8 x 3 = 24, then all you have to is multiply both sides of the ratio by 3.
3 x 3 = 9
5 x 3 = 15
9 + 15 = 24
New ratio is 9 to 15
Jackie made $28 babysitting last week. Her brother Joe made only 80% as much as she did. How much did Joe make?
Answer:
0.86(28) = 24.08
Step-by-step explanation:
Turn the percent to decimal and solve
Answer:
28$
Step-by-step explanation:
The segments shown below could form a triangle 6 5 12
Answer:
no
Step-by-step explanation:
6 and 5 are the smaller sides but they only add to 11
the need to get to something higher than 12
no equal or less than
Final answer:
Segments 6, 5, and 12 cannot form a triangle because the length of one segment (12) is equal to the sum of the other two (6 + 5), which violates the Triangle Inequality Theorem.
Explanation:
The question involves determining whether three given segments can form a triangle. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the Triangle Inequality Theorem. Given the segments 6, 5, and 12, we can test this theorem:
6 + 5 > 12? (No, because 11 is not greater than 12)6 + 12 > 5? (Yes, because 18 is greater than 5)5 + 12 > 6? (Yes, because 17 is greater than 6)Since one of the conditions fails, the segments 6, 5, and 12 cannot form a triangle. Visually, it's also clear that one segment (12) is as long as the sum of the other two (6 + 5), which means they could only form a straight line, not a triangle.
Joaquin reshaped the dough into another three dimensional shape that could have a circular cross section.What is one shape Juaquin could have made?
Answer:
Sphere
Step-by-step explanation:
50 (5025
What is 50 divided by 5,025
Answer:
0.00995024875622
Step-by-step explanation:
Answer:
0.0099502487562189054726
Step-by-step explanation:
divide 50 by 5025
Solve for x: 3(x + 1) = 2(x - 1)
Answer:
x = -5
Step-by-step explanation:
3(x + 1) = 2(x - 1)
Distribute on both sides.
3x + 3 = 2x - 2
Subtract 2x from both sides.
x + 3 = -2
Subtract 3 from both sides.
x = -5
Answer:
The answer you are looking for is x = -5.
Step-by-step explanation:
First, start by distributing the 3 and 2. This will remove the parentheses. The way you do this is by multiplying each number or variable inside the parentheses by the number outside the parentheses.
3x + 3 = 2x - 2
Next, get the variable to one side. One way to accomplish this is by subtracting 2x from each side.
x + 3 = -2
Lastly, move the numbers to one side. Do this by subtracting 3 from both sides.
x = -5
There you go. Your answer is now in the simplest form. Confirm the answer is as simple as plugging in -5 for x in the original equation.
One of the roots of the quadratic equation x^2−5mx+6m^2=0 is 36. Find the greatest possible value of the second root.
Answer:
The greatest possible value of the second root will be 54.
Step-by-step explanation:
The given quadratic equation is x² - 5mx + 6m² = 0
So, we have to find the values of variable x.
Now, x² - 5mx + 6m² = 0
⇒ x² - 3mx - 2mx + 6m² = 0
⇒ x(x - 3m) - 2m(x - 3m) = 0
⇒ (x - 3m)(x - 2m) = 0
So, x = 3m and 2m.
Now, if 3m = 36
Then, m = 12 and the other root will be x = 2m = 24.
Again, if 2m = 36
Then, m = 18 and the other root will be x = 3m = 54.
So, if one root of the equation is 36 then, the greatest possible value of the second root will be 54. (Answer)
0.56 rounded to the nearest tenth
Answer:
60
Step-by-step explanation:
because there is a 6 in the one place five or greater add one more
Please explain and show me how to do question 8 please, I’m dying and I have a test!
Answer:
So linear means equal so you’ll put x on one side and 750 plus 10% on one side and add an equal sign in the middle
I’m really terrible at explaining things but I hope this helped
Kim drew a map of the Mississippi River. The scale was 3 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles. What is the river on the map
To represent the actual length of the Mississippi River, which is 2,320 miles, on a map with a scale of 3 cm per 120 miles, the river would be 58 cm long on the map.
Explanation:The question concerns calculating the scale representation of the actual length of the Mississippi River on a map. According to the given scale, 3 centimeters on the map represents 120 miles in reality. The actual length of the Mississippi River is 2,320 miles. To find the length of the Mississippi River on the map, we use the scale ratio to set up a proportion.
First, we calculate the scale ratio which is 3 cm to 120 miles. This means 1 cm represents 40 miles (120 miles ÷ 3 cm). To find how many centimeters represent 2,320 miles, we divide the actual miles by the miles each centimeter represents. Therefore, 2,320 miles ÷ 40 miles/cm equals 58 cm. Thus, the Mississippi River would be represented as 58 cm long on Kim's map.
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing
a total of $37.25. Zoe went into the same movie theater and bought 8 bags of popcorn
and 9 pretzels, costing a total of $102.25. Determine the price of each bag of popcorn
and the price of each pretzel.
Answer:
A bag of pop corn costs $8, and each Pretzel costs $4.25.
Step-by-step explanation:
Let [tex]b[/tex] be the price of popcorn, and [tex]p[/tex] the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation
[tex]2b+5p=37.25[/tex] (this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25) .
And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation
[tex]8b+9p=102.25[/tex] (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).
Thus, we have two equations
1. [tex]2b+5p=37.25[/tex]
2. [tex]8b+9p=102.25[/tex]
and we solve them by first multiplying equation (1) by 4:
[tex]4(2b+5p=37.25 )\rightarrow (8b+20p=149)[/tex],
and then subtracting it from equation (2):
[tex]\:\:\:\:\: 8b+9p=102.25\\-(8b+20p=149)\\\line(1,0){3 cm}\\-11p=-46.75\\\\\boxed{p=\$4.25}[/tex]
Now we put this value of [tex]p[/tex] into equation (1) and get:
[tex]2b+5(4.25)=37.25[/tex]
and we solve for [tex]b[/tex] to get:
[tex]2b=37.25-21.5[/tex]
[tex]\boxed{ b=8}[/tex]
Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.
Answer:
8 is your answer
Step-by-step explanation:
which choice is the explicit formula for the following geometric sequence? 0.3, -0.06, 0.012, -0.0024, 0.00048
Answer:
[tex]a_{n} = 0.3(- 0.2)^{n - 1}[/tex]
Step-by-step explanation:
The given sequence is 0.3, - 0.06, 0.012, - 0.0024, 0.00048 ........ so on.
Now, this is a G.P. sequence with common ratio [tex]\frac{- 0.06}{0.3} = - 0.2[/tex].
Now, the explicit formula of the given series will be
[tex]a_{n} = 0.3(- 0.2)^{n - 1}[/tex] , where [tex]a_{n}[/tex] is the nth term of the G.P. sequence.
Now, for n = 1, [tex]a_{1} = 0.3(- 0.2)^{1 - 1} = 0.3[/tex].
For, n = 2, [tex]a_{2} = 0.3(- 0.2)^{2 - 1} = 0.3 \times (- 0.2) = - 0.06[/tex] and so on. (Answer)
Answer:
a n+0.3(-0.2)n-1
Step-by-step explanation:
Find the missing side round to the nearest tenth
Answer: X = 13.2 (Approximated to the nearest tenth)
Step-by-step explanation: This is a right angled triangle, with one side given, and one angle given. We can calculate the other two sides provided the reference angles are known, and in this question, all angles are known. One is 90°, the second is 47° while the third is 43° (that is 180° - {90° + 47°} )
We shall use angle 47 as the reference angle, and note that the line that lies between the reference angle and the right angle is the adjacent. Note also that the unknown side is the hypotenuse, (the side facing the right angle).
Now that we have established two sides of the triangle, the adjacent (9 units) and the hypotenuse (X), we can calculate the unknown side by using the trigonometrical ratio of cosine.
Cos 47 = adjacent/hypotenuse
Cos 47 = 9/X
By cross multiplication we now have
X/1 = 9/Cos 47
By checking your table of values or by use of your calculator, cos 47 is equal to 0.6819
Therefore
X = 9/0.6819
X = 13.19 units
However, by rounding up to the nearest tenth,
X = 13.2 units
the veterinarian ways jims to dogs his collie weighs 37 pounds is terrier weighs 240 Oz is what is the total weight of Jim's dogs?
Answer:
52
Step-by-step explanation:
240 ÷ 16 = 15
37 + 15 = 52