I need help with finding Angle B
The difference of the squares of two positive consecutive even integers is 76. find the integers. use the fact that, if x represents an even integer, then x+2 represents the next consecutive even integer.
The two positive consecutive even integers that, when their squares are subtracted, equal 76 are 18 and 20.
Explanation:In this problem, the two positive consecutive even integers can be represented as x and x+2. The problem states that the difference of their squares is 76, which can be put into the equation (x + 2)^2 - x^2 = 76. By simplifying this equation, we get 4x + 4 = 76. Solving for x, we find that x = 18. Therefore, the two consecutive even integers are 18 and 20.
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Myron put $5000 in a 2-year CD paying 3% interest, compounded monthly. After 2 years, he withdrew all his money. What was the amount of the withdrawal?
Answer:
$5308.79
Step-by-step explanation:
The future value can be computed from ...
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual interest rate, n is the number of times per year it is compounded, and t is the number of years.
You have P = $5000, r = 0.03, n = 12 (months per year), t = 2.
Filling in the given numbers, we have ...
FV = $5000(1 +.03/12)^(12·2) ≈ $5000(1.0617570) ≈ $5308.79
The amount of the withdrawal will be $5308.79.
Final answer:
To find the withdrawal amount for Myron's CD, the compound interest formula is used with the respective values plugged in. After 2 years, with 3% interest compounded monthly on a principal of $5000, the withdrawal amount is approximately $5,304.91.
Explanation:
The question deals with the calculation of compound interest for a Certificate of Deposit (CD), specifically with different compounding periods.
To calculate the withdrawal amount for Myron's 2-year CD with a principal amount of $5000 at a 3% interest rate compounded monthly, the formula for compound interest is:
[tex]A = P (1 + r/n)^{nt[/tex]
Where:
A = the amount of money accumulated after n years, including interest.P = the principal amount (initial deposit).r = the annual interest rate (decimal).n = the number of times that interest is compounded per year.t = the time the money is invested for in years.By plugging in Myron's values, we get:
[tex]A = $5000 (1 + 0.03/12)^{12\times 2[/tex]
Calculating this we find that A, the withdrawal amount, is approximately $5,304.91.
When disposal materials are dropped more than 20 feet to an exterior location, an enclosed chute must be used. true or false?
The assertion is not totally true.
It is not always necessary to dispose of debris dropped more than 20 feet to the outside using an enclosed chute.
It is crucial to check the precise restrictions that apply in your area as building codes and regulations might differ based on the jurisdiction.
It is important to keep in mind that, in some circumstances, a covered chute may be necessary for safety reasons or to stop the materials from spreading or causing harm while being disposed of.
These specifications may be unique to certain locales, building types, or construction projects.
Therefore, it is crucial to check your area's construction laws and regulations to ascertain the precise specifications for disposal requirements.
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Perform the indicated operation 7 1/8 times 5 2/3
Answer: The required result is [tex]40\dfrac{3}{8}.[/tex]
Step-by-step explanation: We are given to perform the following indicated operation :
[tex]E=7\dfrac{1}{8}\times5\dfrac{2}{3}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To perform the given multiplication, first we need to convert the mixed fraction to improper fraction.
The simplification of the given operation is as follows :
[tex]E\\\\\\=7\dfrac{1}{8}\times5\dfrac{2}{3}\\\\\\=\dfrac{57}{8}\times\dfrac{17}{3}\\\\\\=\dfrac{19\times17}{8}\\\\\\=\dfrac{323}{8}\\\\\\=40\dfrac{3}{8}[/tex]
Thus, the required result is [tex]40\dfrac{3}{8}.[/tex]
***Need answered ASAP***... PLEASE
What happens to the temperature of the remaining liquid when some if the liquid evaporates?
A. Increases
B. decreases
C. Does not change
D. The change cannot be determine
Dave swam 6 laps and did 9 dives at the swimming pool. Crystal did 4 dives and swam 8 laps. How many more laps than dives did crystal and Dave do
In the figure, p || q.
Identify each pair of equal angles as vertical angles, corresponding angles, alternate interior angles, or alternate exterior angles.
m<3 = m<7:
m<1 = m<4:
m<5 = m<8:
m<1 = m<5:
m<1 = m<8:
m<2 = m<6:
m<2 = m<3:
m<4 = m<8:
m<6 = m<7:
m<3 = m<6:
m<2 = m<7:
m<4 = m<5:
Answer:
Vertical angles : Opposite angles made by two intersecting lines.
Corresponding angles : which occupy the same relative position at each intersection where a straight line crosses two others.
Alternate interior angles : when a transversal passes through two line then the angles that are formed on opposite sides of the transversal and inside the two lines.
Alternate exterior angles : angles on the outer side of each of those two lines but on opposite sides of the transversal.
Here, line k passes through the lines p and q,
Thus, by the above explanation,
Vertical pairs are, angle 1 and angle 4, angle 2 and 3, angle 5 and angle 8, angle 6 and 7,
Corresponding pairs,
angle 2 and angle 6, angle 1 and angle 5, angle 4 and angle 8, angle 3 and angle 7,
Alternate interior angles pair,
angle 4 and angle 5, angle 6 and angle 3,
Alternate exterior angles pair,
angle 2 and angle 8, angle 1 and angle 7,
Vertical angles are always equal in measure,
Now, the p and q are parallel lines,
So, the corresponding angles will be congruent as well as alternative interior or exterior will be congruent.
Therefore, the required pair,
Corresponding pairs :
m∠1=m∠5
m∠2=m∠6
Alternative interior pairs :
m∠3=m∠6
m∠4=m∠5,
Alternate exterior pairs :
m∠1=m∠8
m∠2=m∠7
Vertical pairs :
m∠1=m∠4
m∠5=m∠8
m∠2=m∠3
m∠6=m∠7
What is 1 17/24 simplified
1(17/24) simplified is 41/24.
We have,
To simplify the mixed number 1 17/24, we need to convert it to an improper fraction.
To do that, we multiply the whole number (1) by the denominator of the fraction (24), and then add the numerator (17):
1 x 24 + 17 = 24 + 17 = 41
So, the mixed number 1 17/24 is equivalent to the improper fraction 41/24.
Therefore,
1(17/24) simplified is 41/24.
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Suppose a life insurance company sells a $250,000 one-year term life insurance policy to a 20-year-old female for $320. The probability that the female survives the year is 0.999647. Compute and interpret the expected value of this policy to the insurance company.
Bill and Greg are walking in opposite directions with speeds of 45 and 75 feet per minute. When they started, the distance between them was 20 feet. What will be the distance between them in 2.5 min?
Answer:
The distance between them in 2.5 min will be 320 ft
Step-by-step explanation:
Let
x--------------> Bill distance after 2.5 min------- > speed 45 ft/min
y--------------> Greg distance after 2.5 min------> speed 75 ft/min
z-------------> distance between them in 2.5 min
we Know that
z=x+y+20
Remember that
To find the distance multiply the speed by the time
so
x=45*2.5=112.5 ft
y=75*2.5=187.5 ft
therefore
z=x+y+20-----------> 112.5+187.5+20=320 ft
Final answer:
Bill and Greg's total distance apart after 2.5 minutes is 320 feet, calculated by adding their initial distance of 20 feet to the distance they covered in 2.5 minutes at their combined speed of 120 feet per minute.
Explanation:
Bill and Greg are walking away from each other with speeds of 45 and 75 feet per minute, respectively.
Since they are moving in opposite directions, their relative speed is the sum of their individual speeds, which is 45 + 75 feet per minute, or 120 feet per minute.
To find the distance between them after 2.5 minutes, we multiply their relative speed by the time elapsed. Therefore, the distance is:
Distance = Speed × Time = 120 feet/minute × 2.5 minutes = 300 feet.
We must also include the initial distance between them, which was 20 feet, so the total distance after 2.5 minutes is:
Total distance = Initial distance + Distance covered in 2.5 minutes = 20 feet + 300 feet = 320 feet.
22 gallons of gas cost $65.56 what is the unit rate for one gallon of gas
algebra 2 unit 2 question. connexus.
please someone help..
ill give brainliest if ur answer is correct
If you were solving a system of equations and you came to a statement like 4 = 4, what do you know about the solution to the system? (1 point) The solution is (4, 4) The solution is x = 4 and y = 4 There is no solution There are infinitely many solutions
Answer:
There are infinitely many solutions.
Step-by-step explanation:
While solving a system of equations, if we get a true statement like 1=1, then there will be "infinitely many solutions" and if we get a false statement like 1=2, then there will be "no solution".
Here the statement is 4=4, which is a true statement.
So, there are infinitely many solutions.
Most evenings after dinner Duarte spends 30 minutes playing chess with his dad.
Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together e
evenings.
the public library has an approximate length of 1 x 10^5 millimeters and width of 8 x 10^4 millimeters. what is the area, in square milliters, of the public library?
a. 8 x 10^9 square millimeters
b. 9 x 10^9 square millimeters
c. 8 x 10^20 square millimeters
d. 9 x 10^20 square millimeters
Solve the following equation : 7x/15-1=22
Alegbra 2 honors need help
Answer:
Step-by-step explanation:
2^3)(2^-4) = 2^(3-4) = 2^-1 = 1/2
answer is D.
add exponents and keep the same base.then find the reciprocal and change the sign of the exponent
Which figure is the image of figure P after a rotation of 270° clockwise? Assume that the center of rotation is the origin.
A.
figure A
B.
figure B
C.
figure C
D.
figure P
A is directly proportional to B.
If A is 9, when B is 3, then A is _____, when B is 6.
Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase per time period.
y=10(0.2)^t
Plz help!
What single transformation is required to map one of these congruent triangles onto the other?
Answer:
its reflection
Step-by-step explanation:
I did it on edge ; )
Describe the graph y=4[x+2] on [0, 3). Be specific in your description.
Answer: The description is mentioned in the below explanation.
Step-by-step explanation:
Since greatest integer function rounds down a real number to the nearest integer. for example, if f(x)=[x] and for x =1.3 f(x)= [1.3]= 1
or x= 0.9 f(0.9)= [0.9]= 0
Here, The given function, y=4[x+2]
Which is a greatest integer function and it is described on [0,3)
So, For the values of [tex]1 >x\geq 0[/tex],we take x=0 ⇒ y= 4(0+2)= 8
For, [tex]2>x\geq 1[/tex] , we take x=1, ⇒ y = 4(1+2)= 12
For, [tex]3>x\geq 2[/tex] we take x=2, ⇒ y = 4(2+2)=16
The graph description for the open or close interval, is mean describe values of variable for the interval. The graph [tex]y=4[x+2][/tex] is described and the values of y we get are 8,12, and 16 for the values of x as 0,1 and 2.
How to graph integer on a number line?Integer keeps the values as positive or the negative and graphed at the number line.
Given information-
The function of the graph given in the problem is,
[tex]y=4[x+2][/tex]
This function need to be describe on the points [0,3).
The close bracket is used in left side means the value 0 is included and the open bracket is used in right side means the value 3 is excluded.
Thus find the value of variable y for the different intervals o x,
The interval is,
[tex]0\leq x<3[/tex]
When the value of x is 0 at interval [tex]0\leq x<1[/tex],
[tex]y=4(0+2)\\y=4\times2\\y=8[/tex]
When the value of x is 1 at interval [tex]1\leq x<2[/tex],[tex]y=4(1+2)\\y=4\times3\\y=12[/tex]
When the value of x is 2 at interval [tex]2\leq x<3[/tex],[tex]y=4(2+2)\\y=4\times4\\y=16[/tex]
The graph of the given point is attached below.
Thus the graph [tex]y=4[x+2][/tex] is described and the values of y we get are 8,12, and 16 for the values of x as 0,1 and 2.
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On which triangle can the law of cosines be applied once to find an unknown angle measure? Law of cosines: a2 = b2 + c2 – 2bccos(A)
options are in the pics
Answer: The correct option is 4.
Explanation:
The formula of law of cosine is,
[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]
Where a,b,c are sides of the triangle and A is the interior angle of vertex A.
Reason for correct option:
From the above formula we can easily conclude that to find an unknown angle measure we need the length of all sides of the triangle.
In figure 4 all sides are given, so the correct option is 4.
Reason for incorrect option:
In figure 1,2 and three all sides are not known, so we can apply the cosine rule to mind the unknown angle measure.
Therefore option 1,2 and 3 are incorrect.
Tina bought two sweaters for $15.50 each and a skirt for $19. What
was the total amount of her bill if she had to pay a sales tax of
5.75%?
a. $36.40
b. $50
c. $52.88
d. $56.40
HELP ASAP ANSWER IS NOT A
The solution for the following system of equations is shown on the graph. What is the solution? y = 3x - 5 y = 1 3 x + 3 A) (3, 3) B) (3, 4) C) (4, 3) D) (4, 6)
Answer:3,4.b
Step-by-step explanation: Took the test.
a square parking lot has an area of 225 yards.There is a sidewalk along one side of the parking lot.How long is the sidewalk
Answer: 56.25
Step-by-step explanation:
Since there are four sides to a square and the area is 225 yards you would -
225 yards/ 4 sides
= 56.25 yards per side
Solve the equation for y. Then graph the equation.
5x – 4y = 12
A.
B.
C.
D.
Factor 1-3
1. X to the second power -14x+45
2.X to the second power -15x+36
3.X to the second power -7x-44