Answer:
97
Step-by-step explanation:
A straight horizonal line is 180 degrees, so you subtract 83 from 180 to get 97, which is the measure of angle JKL
Philip has $5,774 in a savings account. The interest rate is 13%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
(compound interest formula)
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 5774(1 + \frac{13}{100} ) ^{1 \times 5} - 5774 \\ \sf= 5774 \times ( \frac{113}{100} ) ^{5} - 5774 \\ \sf= 10638.22 - 5774 \\ \sf = 4864.22[/tex]
Answer:
$4864.22 (approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solve for x. x^2+6x+9=0
Answer:
x=-3
Step-by-step explanation:
x^2+6x+9=0
Factor
(x+3)(x+3) =0
Using the zero product property
x+3 =0 x+3=0
x=-3 x=-3
Solution
x=-3
3 equivalent ratio to 9/2
Answer:
10/12 i took the test
Step-by-step explanation:
Answer:
18/4 , 27/6 , 36/8
Step-by-step explanation:
9 to 2 x 2 = 18 to 4
9 to 2 x 3 = 27 to 6
9 to 2 x 4 = 36 to 8
Mark makes bouquet arrangements. He puts 1 tulip for every 4 daisies in each arrangement. The table below shows the number of tulips and daisies Mark uses for different arrangements.
Arrangement Daisies Tulips
1 4 1
2 8 2
3 12 3
4 16 4
How many daisies and tulips will there be in the 7th arrangement?
Following the proportions given in the table, it is found that in the 7th arrangement, there will be:
28 daisies.7 tulips.From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:
There are 4n daisies.There are n tulips.Hence, in the 7th arrangement, there will be:
28 daisies, as 4 x 7 = 28.7 tulips, as n = 7.You can learn more about proportions at https://brainly.com/question/24372153
Need someone to help me with this
3y-2x-4x+5x+7
please help meeeeeeeeeeee
Answer:
3y-2x-4x+5x+7
please help meeeeeeeeeeee
[tex]3y-2x-4x+5x+7\\\\=3y-x+7[/tex]
A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of the port. What is the bearing of the warning buoy as seen from the ship after 7.5 hours?
The value of the angle subtended by the distance of the buoy from the
port is given by sine and cosine rule.
The bearing of the buoy from the is approximately 307.35°Reasons:
Location from which the ship sails = Port
The speed of the ship = 10 mph
Direction of the ship = N35°W
Location of the warning buoy = 5 miles north of the port
Required: The bearing of the warning buoy from the ship after 7.5 hours.
Solution:
The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
Where;
a = The distance between the ship and the buoy
b = The distance between the ship and the port = 75 miles
c = The distance between the buoy and the port = 5 miles
Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°
Which gives;
a = √(75² + 5² - 2 × 75 × 5 × cos(35°))
By sine rule, we have;
[tex]\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}[/tex]
Therefore;
[tex]\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}[/tex]
Which gives;
[tex]\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}[/tex]
[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}[/tex]
Similarly, we can get;
[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}[/tex]
The angle subtended by the distance of the buoy from the port, C is therefore;
C ≈ 180° - 142.68° - 35° ≈ 2.32°
By alternate interior angles, we have;
The bearing of the warning buoy as seen from the ship is therefore;
Bearing of buoy ≈ 270° + 35° + 2.32° ≈ 307.35°
Learn more about bearing in mathematics here:
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You are the new manager at Taco bell. A customer told you that they had to wait 13 minutes for their food.You approach your staff and they assure you this was unusual, and the customer was just being dramatic. To verify, you decide to conduct a study on average wait time for food and find an approximately normal distribution of results. The mean wait time was 7 minutes The standard deviation was 2 minutes.
Label the bell- shaped curve. (2 pts)
On an average day you serve 300 people, how many people would have to wait longer than 13 minutes? (1 pt)
Was the customer’s wait time of 13 minutes unusual? Justify your answer with a complete sentence. (1 pt)
Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?
Answer:
Max
Step-by-step explanation:
Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)
Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)
1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.
Answer:
Max played the greater ratio.
Step-by-step explanation:
:)
HEELPPP PPPPLSSSS AHHH
Answer:
3
Step-by-step explanation:
18/6=3
Could someone please help me
mathematic equation
solve q
11=8(3q-1)
Step-by-step explanation:
11 = 8(3q - 1)
11 = 24q - 8
11 + 8 = 24q
19 = 24q
19/24 = q
q = 0.791666666666666
q = 0.8 to 1 decimal place
of the 400 employees,5% of them managers.How many managers does the zoo employ?
Answer:
20 of them are managers
Step-by-step explanation:
Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05
400 x 0.05 (multiplying it will just increase your answer) and you will get 20
To check it
20/5% or 0.05 = 400
I NEED HELP ASAP
Write the equation of the line in fully simplified slope-intercept form.
Answer: [tex]y = \frac{4}{5}x + 4[/tex], if this helped you please give Brainliest
Step-by-step explanation:
Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.
Given that
Money of a man = Rs. X
Money given to his wife = half of the money
= Rs. X/2
Money given to his son = 1/4th of the money
⇛Rs. X/4
Money given to his daughter = Rs. 1200
Total money
⇛ (X/2)+(X/4)+1200 = X
⇛ (2X+X+4800/4 = X
⇛ (3X+4800)/4 = X
⇛ (3X+4800) = 4X
⇛4X=3X+4800
⇛4X-3X = 4800
⇛X = 4800
⇛X-4800 = 0 is the required equation
⇛X = 4800
The money of the man = Rs. 4800 Ans.
also read similar questions: what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?
https://brainly.com/question/23613815?referrer
lus
Suppose that y varies directly with x
and y = 10 when x = 20. What is y
when x = 15?
Enter your answer as a simplified fraction.
y =
Answer:
15/2
Step-by-step explanation:
y varies directly as x can be written as:
y & x
y = Kx
K = y/x
But from the question, we were told that:
y = 10
X = 20
K = y/x
K = 10/20
K = 1/2
The formula for the expression is:
y = Kx
y = 1/2 x
Now let us solve for y, when:
x = 15
y = 1/2 x
y = 1/2 x 15
y = 15/2
Answer:
When x = 15, y = 15/2
Step-by-step explanation:
Formula: "y varies directly with x" comes out to y = kx symbolically.
Find the value of the constant of proportionality, k: If y = 10 when x = 20, then this relationship becomes 10 = 20k, and k = 1/2.
Then the formula is y = (1/2)x.
When x = 15, y = 15/2
What is the simplified form of the following expression? 5 StartRoot 8 EndRoot minus StartRoot 18 EndRoot minus 2 StartRoot 2 EndRoot 2 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot 9 StartRoot 2 EndRoot 15 StartRoot 2 EndRoot.
The simplified form of the given expression is [tex]5\sqrt{2}[/tex].
Given expression,
[tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex].
We have to simplify the above expression.
So, [tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\\[/tex]
First solve for the square root,
[tex]5\sqrt{2\times2\times2} -\sqrt{3\times3\times2} -2\sqrt{2} \\\\10\sqrt{2} -3\sqrt{2}-2\sqrt{2} \\[/tex]
[tex]7\sqrt{2} -2\sqrt{2}[/tex]
[tex]5\sqrt{2}[/tex]
Hence the simplified form of the given expression is [tex]5\sqrt{2}[/tex].
For more details follow the link:
https://brainly.com/question/2719671
What is the counter example for the conditional below? if a number is divisible by 6, then it is divisible by 18.
Answer:
24 is divisible 6 but not 18.
Step-by-step explanation:
The statement in the question is not true. So a counterexample is an example of the statement being false. Consider 24. 24 is divisible by 6, but 24 is not divisible by 18.
The counter example for the expression where a number is divisible by 6 then alternatively it will be divisible by 18 is when the number is 24 or 30
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number be n
The number n is divisible by 6
And , the number will be divisible by 18 when it is divisible by 6
Substitute the value of n = { 24 , 30 }
The number n = 24 is divisible by 6 but not divisible by 18
And , The number n = 30 is divisible by 6 but not divisible by 18
Hence , the expression is not valid
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Consider the problem: A set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide. How many books can fit on the shelf?
a. Complete the multiplication equation and the division equation to represent the situation. Use a ? to represent the unknown in the equation. Write your answer as a decimal to the nearest tenth if necessary.
multiplication equation: ? • (
) =
division equation:
÷
= ?
b. How many books can fit on the shelf? Use a diagram, if needed.
books
According to the calculation, 24 books can fit on the shelf.
Given that a set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide, to determine how many books can fit on the shelf the following division must be performed:
36 / 1.5 = X 24 = XTherefore, 24 books can fit on the shelf.
Learn more about maths in https://brainly.com/question/25879518
Determine whether it is possible to form a triangle
with side lengths 4.2, 4.2, and 8.4.
O yes
no
Answer:it is possible to have a triangle with the given side lengths. 7,9,13. Add any two sides and see if it is greater than the other side.
Step-by-step explanation:
A recursive rule for an arithmetic sequence is a1 = −4; an = an−1 + 11
a. What is a1?
b. What is d?
c. What is the iterative rule for the arithmetic sequence above? You do NOT need to simplify.
d. Find a10
convert NPR 180000 into
1. USD
Answer:
Solution here,
1 US dollar=NRS 120.74
Therefore Rs 180000= 180000/120.74
=$1490.99
PLEASE HELP QUESTION IN PICTURE
Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
This means that b + 25 + 100 = 1802. (Solving equation above)
Step 1: Simplify both sides of the equation.
[tex]b + (25+100)=180[/tex] [tex]b + 125 = 180[/tex]Step 2: Subtract 125 from both sides.
[tex]b + 125 - 125 = 180 - 125[/tex] [tex]b = 55[/tex]Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
This means that 110 = d + 552. (Solving)
Step 1: Subtract 55 from both sides.
[tex]110-55 = d + 55-55[/tex] [tex]55 = d[/tex]Therefore, d = 55.
4. A donut shop bakes 4 dozen donuts every 18 minutes. How long did it take for the bakery to complete its
order of 144 donuts?
Answer:
54 minutes
Step-by-step explanation:
4 Dozen is 48
So we will need to know how many 18 minutes it takes to back 144 donuts
So divide 144 by 48
Which is 3
So you will need 3, 18 minutes to make 144 donuts
Now multiply 18 by 3 which is 54
So it takes 54 minutes to bake 144 donuts
Hope this helps!
Step-by-step explanation:
4 Dozen = 4 x 12 = 48 every 18 minutes
144/48 = 3
3 x 18 = 54 minutes
This is the question in the photo above.
Answer:
an alternative hypothesis is an angle that is alternate to each other
Help me solve for x. :>
Answer:
x = 9
Step-by-step explanation:
3 ㏒₄x = 2 ㏒₄27
㏒₄ x³ = ㏒₄ 27²
As ㏒₄ = ㏒₄
You can write this as,
x³ = 27²
x ³ = 27 × 27
x³ = 3³ × 3³
x ³ = 3⁶
x ³ = 729
x ³ = 9³
There fore,
x = 9
Hope this helps you :-)
B =
Round your answer to the nearest hundredth.
Work Shown:
sin(angle) = opposite/hypotenuse
sin(B) = AC/AB
sin(B) = 2/3
B = arcsin(2/3)
B = 41.8103 approximately
B = 41.81
Note: The arcsine function is the same as the inverse sine function, and that's denoted as [tex]\sin^{-1}[/tex] on many graphing calculators. Your calculator needs to be in degree mode.
PLEASE NO LINKS AND NO NEGATIVITY
Simplify this question
[tex] \frac{8 - \sqrt{ - 36} }{2} \\ = \frac{8 - \sqrt{ 2 \times \: 2 \times 3 \times - 3} }{2} \\ = \frac{8 -2 \sqrt{ - 9} }{2} \\ = \frac{2(4 - \sqrt{ - 9} )}{2} \\ = 4 - \sqrt{ - 9} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Unfortunately, the problem could not be solved because there is a minus in √36. This basically means that this problem has no answer. Remember, if there is a minus in a root system, that basically means that the answer is Un-defined.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
The square root of a certain number is 9.5671 . The certain number is between which 2 integers?
Answer:
91 & 92
Step-by-step explanation:
Answer:
9.5671*9.5671=91.52940241
between 91 and 92
Hope This Helps!!!