Answer: The two integers are 8 and 9.
Step-by-step explanation: Let n represent the number.
n^2 + (n + 1)^2 = 145
By foiling, this can be rearranged to:
n^2 + n^2 + 2n + 1 = 145
Subtract 145 from both sides:
2n^2 + 2n - 144 = 0
Divide both sides by 2:
n^2 + n - 72 = 0
Factor the polynomial:
(n + 9)(n - 8) = 0
Solve for n:
n = -9, n = 8
Since they need to be consecutive, make the 9 positive. It will be positive either way because it is being squared.
Now, n = 9 and n = 8.
These are your two integers. Hope this helps!
Angelo, age 40, is comparing the premium for a $125,000 whole life insurance policy he may take now and the premium for the same policy taken out at age 45. the annual life insurance premium (per $1000 of face value) for a 40-year-old male is 22.60 and for a 45-year-old male is 27.75. what would be the difference in total premium costs over 20 years for this policy at the two age levels? a. $69,375 b. $11,725 c. $12,875 d. $644
The difference in total premium costs over 20 years at the two age levels is $12875.
What is face value?Face value is a term used to describe the nominal value of a security, as stated by its issuer.
Let us consider the entire scenario for a 40-year old male.
Annual life insurance premium per 1000 of face value = $22.60
So, the annual life insurance premium for a $125,000 whole life insurance policy = 125000/1000 * 22.60 = $2825.
For 20 years the premium will be = 2825*20 = $56500
Let us consider the entire scenario for a 45-year old male.
Annual life insurance premium per 1000 of face value = $27.75
So, the annual life insurance premium for a $125,000 whole life insurance policy = 125000/1000 * 27.75 = $3468.75
For 20 years the premium will be = 3468.75*20 = $69375
The difference in total premium costs over 20 years = 69375-56500 The difference in total premium costs over 20 years = $12875
Therefore, The difference in total premium costs over 20 years at the two age levels is $12875.
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Answer: c. $12,875
have a lovely day/night everyone <3
a lecturer wants to divide a class of 18 students into 3 groups, each of 6 students, to do 3 different statistical projects.
(a) If there are 3 girls in the class, find the number of ways that there is one girl in each group
PLS HELPPPP
Answer:
The lecturer has to divide the class into 3 groups of 6 which have 1 girl in each group to have 1 girl in each class.(sry if this sounds a little akward didn't have enough time to type this answer out).
What is the equation of the line that passes through the point (-3,2) and has a slope of -3
Answer:
y=-3x-7
Step-by-step explanation:
y=mx+b
m=-3
-3 • -3 + b = 2
b = -7
it says to evaluate and reduce, i can't find the answer
Answer:
[tex]\frac{28}{3}[/tex]
Step-by-step explanation:
When dividing fractions, we must always remember a very important step:
we can multiply the two fractions instead of divide as long as the second fraction must be flipped opposite as a reciprocal.
Let me explain:
When given a simple problem like [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{2}{3}[/tex] , we flip the second fraction (called reciprocal) and multiply it together instead.
[tex]\frac{1}{2} * \frac{3}{2}[/tex]
There, we can just multiply the numerators with each other and the denominators as each other.
1x3=3
2x2=4
Therefore, the answer will be [tex]\frac{3}{4}[/tex].
Similar in this case, we must flip the second fraction and pretend we never even saw a division sign (because who likes dividing anyways?)
[tex]\frac{35}{5}[/tex] ÷ [tex]\frac{-3}{4}[/tex] flip and multiply reciprocal
[tex]\frac{35}{5} * \frac{-4}{3}[/tex]
[tex]\frac{140}{15}[/tex] simplify
[tex]\frac{28}{3}[/tex] final answer!
The equation 4(3h - 2) = 3(5 + 4h) has
solution(s).
Which inequality represents the statement A final grade of at least 90?
A. x < 90
B. x >90
C. x < 90
D. x > 90
Answer:
B. x>90
Step-by-step explanation:
please make be the part of brainly
how many square feet of outdoor carpet will we need for this hole 11ft 2ft 3ft 6FT 7FT
A ball is thrown horizontally from the top of
a building 110 m high. The ball strikes the
ground 61 m horizontally from the point of
release.
What is the speed of the ball just before it
strikes the ground?
Answer in units of m/s
The speed of the ball would be 13 m/s just before it strikes the ground.
A ball is thrown horizontally from the top of a 110 m high building. 61 meters horizontally from the moment of release, the ball falls on the earth.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
First of all, we get the time of aviation from the vertical component:
Here s = 110 m and g = 9.8 m/s²
s = 1/2 × gt²
Solve for t
t = √(2s/g)
Substitute the values of s = 110 m and g = 9.8 m/s² in the equation,
t = √(2×110/9.8)
t = √22.44
t = 4.7 sec
The horizontal component of velocity is constant :
v = s/t
Here s = 61 m and t = 4.7 sec
v = 61/4.7
v = 12.97 ≈ 13
Therefore, the speed of the ball would be 13 m/s just before it strikes the ground.
Learn more about Velocity here:
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Find the slope of the equation that goes through:
(-4,-14) and (-10,6)
Hello.
In order to find the slope of the given line, we should use the slope formula:
[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]
y₂= the y-coordinate of the second point (6
y₁= the y-coordinate of the first point (-14)
x₂=the x-coordinate of the second point (-10)
x₁=the x-coordinate of the first point (-4)
Let's plug in the values and solve:
[tex]\mathrm{\displaystyle\frac{6-(-14)}{-10-(-4)}=\frac{6+14}{-10+4} =\frac{20}{-6} =-\frac{20}{6} =-\frac{10}{3} }[/tex]
Answer:
[tex]\Large\boxed{\sf{\displaystyle-\frac{10}{3} }}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Evaluate the expression,
if x = 9, y = 3, and z = 5.
z2•(x-y)
Answer:
The answer should be 150
Step-by-step explanation:
5 2 . (9-3)
5 2 . (6)
25.(6)
=150
You have to follow PEMDAS.
Parentheses
Exponents
Multiply
Divide
Add
Subtract
For which of the following scatterplots is the correlation between x and y closest to −1 ?
Answer:
Scatter plot attached below.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.
In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
The scatter plot for the correlation between x and y closest to −1 is attached below.
Write the equation, in standard form, of the line passing through (0,-8) with a slope of -1/2
Answer:
The answer is
[tex] \huge \boxed{y = - \frac{1}{2} x - 8 }[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (0,-8) and slope - 1/2
We have
[tex]y + 8 = - \frac{1}{2} (x - 0) \\ y + 8 = - \frac{1}{2} x \\ y = - \frac{1}{2}x - 8[/tex]
We have the final answer as
[tex]y = - \frac{1}{2} x - 8 \\ [/tex]
Hope this helps you
A triangle has one leg of 24 inches and one leg of 10 inches. For the triangle to be a right triangle, what must be the length of the hypotenuse
Answer: 26 inches
Step-by-step explanation:
The hypoteneuse is the longest side in a triangle. From the question, we are already informed that a triangle has one leg of 24 inches and one leg of 10 inches.
To calculate the hypotenuse, we add the square of both legs together which are the opposite and adjacent and then find the square root. This will be
hypotenuse² = 24² + 10²
hypotenuse² = 576 + 100
hypotenuse² = 676
hypotenuse = ✓676
hypotenuse = 26
The hypothenuse is 26 inches
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Which number below best represents a temperature of 28 1/3 degrees below zero?
A. 28 1/3
B. -31 1/3
C. 31 1/3
D. -28 1/3
You and your brother walkie talkies to use outside. The range of the walkie talkies only covers a circular area with a radius of 3 feet. How many feet of coverage will the walkie talkies get before you lose contact?
Answer:
6 feet
Step-by-step explanation:
Because diameter=radiusx2
6 feet=3 feetx2
what is the interquartile range (IQR) of the data set represent by this box plot
Answer:
IQR=Q3-Q1
73-51=22
Answer:22
Step-by-step explanation:
help pls first correct answer gets brainleist
Question in picture.
Answer:
x = -9
-2 x -9 = 18
18 + 7 = 25
Rewrite using the distributive property.
Answer:
[tex]8b+56[/tex]
Step-by-step explanation:
Given the following question:
[tex]8(b+7)[/tex]
To rewrite any expression using the distributive property we have to multiply the number outside of the paratheses to the numbers/variables within the paratheses.
[tex]8(b+7)[/tex]
[tex]8\times b=8b[/tex]
[tex]7\times8=56[/tex]
[tex]8b+56[/tex]
Your answer is "8b + 56."
Hope this helps.
Which function is the inverse of Ax) = (x – 3)^3 + 2?
OA. 1-1,5) = V – 2 + 3
OB. 1-1,2)=x + 3 - 2
OC. 1-1,4)= x + 2 - 3
OD. 1-15)= - 3+ 7
A plane flies 35 km in the direction N 30° W, then flies 60 km in the direction N 60° E. How far is the plane from its original location? 29. 64 km 58. 21 km 69. 46 km 93. 66 km.
Check the picture below.
You want to put edging around your above ground rectangular pool. The dimensions of the pool are 20ft by 25ft. How many feet of edging do you need to purchase to surround the pool?
Answer:
90 ft
Step-by-step explanation:
perimeter = 2L + 2W
2(20) + 2(25)
40 + 50
90 ft
I will mark brainliest for the first person to answer my question
The whole angle = the sum of the parts
80 = 43 + x
OR
x = 80 - 43
Hope this helps!
In what quadrant is the ordered pair (6, -4) located?
II
I
IV
III
Answer:
IV
Step-by-step explanation:
plot it on a graph and it lands in the bottom right of a graph which is the fourth quadrant
Answer:
plot twist my phone and I have a great day to be a great day to be a great day to
Step-by-step explanation:
he was a great day to be a great day to be a great day to be a great day to be a great day to be in the world and I am not a good day and I love
Consider the quadratic equation below.
-2x^2 - 11x + 7 = 10 + 4x
Determine the correct set-up for solving the equation using the quadratic formula. 50 POINTS PLS HELP
Answer:
[tex]x=\dfrac{-(-15)\pm\sqrt{(-15)^2-4(-2)(-3)} }{2(-2)}[/tex]
Step-by-step explanation:
Given equation: [tex]-2x^2 - 11x + 7 = 10 + 4x[/tex]
First, rearrange the equation so that it is in the general form of [tex]ax^2+bx+c=0[/tex]
[tex]-2x^2 - 11x + 7 = 10 + 4x[/tex]
Subtract 4x from both sides:
[tex]-2x^2 - 15x + 7 = 10[/tex]
Subtract 10 from both sides:
[tex]-2x^2 - 15x - 3 = 0[/tex]
Therefore,
[tex]a=-2[/tex][tex]b=-15[/tex][tex]c=-3[/tex]Input these values into the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Therefore,
[tex]x=\dfrac{-(-15)\pm\sqrt{(-15)^2-4(-2)(-3)} }{2(-2)}[/tex]
Brooke and Aria ran a half marathon. Brooke finished in 1 hour 55 minutes.
Aria finished in 105 minutes. Who had the faster time?
Answer:
aria
Step-by-step explanation:
105min=1 hour and 45 min
Step-by-step explanation:
Brooke and Aria ran a half marathon. Brooke finished in 1 hour 55 minutes. Aria finished in 125 minutes. who had the faster time. ANSWER IS BROOK 1 hr 55 minutes Aria 125 minute=2 hrs in case question is worded differently Edmentum
find the product of the given polynomial if p(X)=2x-3 and g(X)=6x+4
Answer:
Given,
p (x)=2x-3
g (x)=6x+4
p (x)×g (x)=?
Step-by-step explanation:
p (x)×g (x)=(2x-3)(6x+4)
=2x (6x+4)-3 (6x+4)
=12x^2+8x-18x-12
=12x^2-10x-12
An object is moving at 50 feet per second. A car is trying to keep pace with the object. Which Statements are true?
Answer:
what are the statements?
Step-by-step explanation:
Answer:
A. Use 50ft/1 sec × 60sec/1 min×60min/1hr×1hr/5280ft to determine the car's required speed.
D. The car needs to travel at about 34 mph
Step-by-step explanation:
Write an equation in slope intercept form of the line that passes through the points (-5,4) and (5,0)
Answer: y=-0.4x+2
Step-by-step explanation:
nadia bought 4.3 pounds of ham on tuesday and 1.7 pounds of ham on wednesday. she spent a total of 41.94. what was the price of the ham per pound
Answer:
B) $6.99
Step-by-step explanation: