Answer:
Step-by-step explanation:
A)1) I found the LCM, by multiplying the common term with highest power and multiplying all the uncommon terms
2) I factored the trinomials into binomials that satisfies (i) the sum of two numbers is (-7) (ii) Product of the two numbers is 6
Need help ASAP! due soon!!!
Answer:
C
Step-by-step explanation:
C
Does anyone know if I did this right?? Please help me
Answer:
you did this right
Step-by-step explanation:
January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months?
Answer:I believe it's 31,771
Step-by-step explanation: you first need to add 8,999 + 2,387 to get 11,386 then add 11,386 + 11,386 to get 22,772 and then add 8,999 to get 31,771.
Scott earns $31,771 altogether during those three months.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
We have to determine that Scott earn altogether during those three months.
We have been given that in January, Scott earned $8,999.
In February, he earned $2,387 more than in January.
So we have to add the amount of January and 2,387, we get
⇒ 8,999 + 2,387 = 11,386
In March, Scott earned the same amount as in February.
So the amount of March = 11,386
Therefore, He earns altogether during those three months as
⇒ 8,999 + 11,386 + 11,386
Apply the Addition operation in the above expression,
⇒ 31,771
Hence, Scott earns $31,771 altogether during those three months.
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Please help 3/4
Solve the binomial
(2ab-3c)(2ab+3c)
Answer:
I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee
Step-by-step explanation:
find the zeros of the following function. State the multiplicity of multiple zeros.
y=(x+1) 2(x-1)(x-2)
Answer:
Zeros: -1, 1, 2
Step-by-step explanation:
Hi there!
\(y=(x+1)^2(x-1)(x-2)\)
The zero-product property states that if two terms, when multiplied, equals 0, one of the terms must be equal to 0.
Therefore, we know that either (x+1), (x-1) or (x-2) is equal to 0:
x+1 = 0
x-1 = 0
x-2 = 0
Now, to solve for the zeros of the function, we can just solve for x:
x+1 = 0 ⇒ x = -1
x-1 = 0 ⇒ x = 1
x-2 = 0 ⇒ x = 2
Notice how for the function, (x+1) is raised to a power of 2. This means that the zero -1 has a multiplicity of 2.
The other zeroes, 1 and 2, have multiplicities of 1.
I hope this helps!
Taylor is older than Julian. Their ages are consecutive even integers. Find Taylor's age if the sum of Taylor's age and 4 times Julian's age is 132.
Answer:Taylor is 28 and Julian is 26.
Step-by-step explanation: Because their ages are even integers, we know that Taylor is 2 years older than Julian. We can write this as an equation 132 = 4x + x + 2 where x is Julian's age.
Subtract 2 from both sides and you have 130 = 4x + x.
4x + x is the same as 5x, 130 = 5x
Divide both sides by 5 and you get 26, Julian's age.
Taylor is 28 years old and Julian is 26 years old.
What is an equation?An equation is made up of two algebraic expressions with the same value and the sign "=" in between.
Given, Taylor is older than Julian.
Their ages are consecutive even integers.
Let x be the age of Julian and x + 2 be the age of Taylor.
According to the question;
We have the equation,
x + 2 + 4x = 132
5x = 132 - 2
5x = 130
x = 130 / 5
x = 26
Julian's age is 26 and Taylor's age is 26+2 = 28.
Therefore, the Taylor is 28 years old and Julian is 26 years old.
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What is the answer for: Carlos and his family left for the amusement park at 7:35a.M.The trip took 1 hour and 45 minutes.What time did they arrive?
Answer:
9:20 AM
Step-by-step explanation:
Answer: 9:20
Step-by-step explanation: 7:35 + 1 hour and 45 minutes = 9:20
Sam is walking across a bridge and accidentally drops an orange into the river basin below
from a height of 40 ft. Graph the function. At what time does the orange hit the water?
Answer:
We assume that the orange is dropped at t = 0s.
Once the orange is on the air, the only force acting on it is the gravitational force, then the acceleration of the orange is the gravitational acceleration.
A(t) = -32.17 ft/s^2
Where the negative sign is because this acceleration points downwards.
For the velocity equation, we need to integrate over time, we will get:
V(t) = (-32.17 ft/s^2)*t + V0
Where V0 is the initial vertical velocity of the orange, because the orange is accidentally dropped, this initial velocity is equal to zero.
V(t) = (-32.17 ft/s^2)*t
For the position equation we need to integrate again, this time we get:
P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + P0
Where P0 is the initial height of the orange, we know that it is 40ft, then the position equation is:
P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 40 ft
Now that we know the equation, we can graph it. (you can see the graph below)
Now we also want to find at what time does the orange hit the water.
This happens when:
P(t) = 0 ft = (1/2)*(-32.17 ft/s^2)*t^2 + 40 ft
We just need to solve that equation for t.
0 ft = (1/2)*(-32.17 ft/s^2)*t^2 + 40 ft
(1/2)*(32.17 ft/s^2)*t^2 = 40 ft
t^2 = (40ft)/( (1/2)*(32.17 ft/s^2))
t = √( (40ft)/( (1/2)*(32.17 ft/s^2)) ) = 1.58 s
The orange hits the water 1.58 seconds after it is dropped.
Does anyone know how to solve these types of triangles?
Answer:
x= 101
Step-by-step explanation:
Exterior angle of triangle states that the exterior angle of a triangle is the sum of the 2 opposite interior angles. This is abbreviated as 'ext. ∠ of ∆'. Thus using the exterior angle theorem,
x°= 64° +37° (ext. ∠ of ∆)
x°= 101°
x= 101
_____
Alternative method:
Let the third angle in the triangle be y°.
Since the sum of the angles in a triangle is 180°,
y° +64° +37°= 180° (∠ sum of ∆)
Simplify:
y° +101°= 180°
y°= 180° -101°
y°= 79°
The sum of the angles on a straight line is 180°.
x° +y°= 180° (adj. ∠s on a str. line)
Substitute y°= 79°:
x° +79°= 180°
x°= 180° -79°
x°= 101°
x= 101
how mang triangles are possible given the following side maesurment: 3 feet , 5 feet, 4 feet
The answer is: 1 triangle is possible given the following side maesurment: 3 feet , 5 feet, 4 feet.
To determine how many triangles are possible with these side measurements, we can use the triangle inequality theorem, which states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
What is inequality theorem?
In this case, we have three side measurements: 3 feet, 5 feet, and 4 feet. Let's call these sides a, b, and c, respectively. Using the triangle inequality theorem, we can see that:
a + b > c
a + c > b
b + c > a
Substituting in the values of a, b, and c, we get:
3 + 5 > 4
3 + 4 > 5
4 + 5 > 3
All three of these inequalities are true, so it is possible to form a triangle with these side measurements.
To determine how many distinct triangles are possible, we can use the fact that any two triangles are distinct if and only if they have at least one side with a different length. In this case, all three sides have different lengths, so there is only one distinct triangle that can be formed with these side measurements.
Therefore, the answer is: 1 triangle.
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Complete question is: 1 triangle is possible given the following side maesurment: 3 feet , 5 feet, 4 feet.
writing equations of lines parallel and perpendicular to a given line through a point
To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
To find the equation of a line parallel or perpendicular to a given line through a specific point, follow these steps:
1. Determine the slope of the given line. If the given line is in the form y = mx + b, the slope (m) will be the coefficient of x.
2. Parallel Line: A parallel line will have the same slope as the given line. Using the slope-intercept form (y = mx + b), substitute the slope and the coordinates of the given point into the equation to find the new y-intercept (b). This will give you the equation of the parallel line.
3. Perpendicular Line: A perpendicular line will have a slope that is the negative reciprocal of the given line's slope. Calculate the negative reciprocal of the given slope, and again use the slope-intercept form to substitute the new slope and the coordinates of the given point. Solve for the new y-intercept (b) to obtain the equation of the perpendicular line.
Remember that the final equations will be in the form y = mx + b, where m is the slope and b is the y-intercept.Therefore, To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
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Create an expression that is equivalent to x + 2
Answer:
2 + x
2 + (x)
x + (2)
Step-by-step explanation:
Switch them around.
A polynomial of degree n has ....
a) One zero .
b) N zeroes .
c) At almost n zeroes .
d) At least n zeroes .
b) You are saving for a vacation by taking $100 out of your paycheck each month and putting it into a savings account that pays 3% nominal interest, compounded monthly. How long will it take for you to be able to take that $3,000 vacation?
c) What is the equivalent effective interest rate for a nominal rate of 5% that is compounded...
i. Semi-annually
ii. Quarterly
Daily
iv. Continuously
b) It will take approximately 24.6 years to save $3,000 for your vacation by saving $100 each month with a 3% nominal interest rate compounded monthly.
c) equivalent effective interest rates are:
i. Semi-annually: 5.06%
ii. Quarterly: 5.11%
iii. Daily: 5.13%
iv. Continuously: 5.13%
EXPLANATION:
To calculate the time it will take for you to save $3,000 for your vacation, we can use the future value formula for monthly compounding:
\(Future Value = Principal * (1 + rate/n)^(n*time)\)
Where:
- Principal is the amount you save each month ($100)
- Rate is the nominal interest rate (3% or 0.03)
- n is the number of compounding periods per year (12 for monthly compounding)
- Time is the number of years we want to calculate
We need to solve for time. Let's substitute the given values into the formula:
\($3,000 = $100 * (1 + 0.03/12)^(12*time)Dividing both sides of the equation by $100:30 = (1.0025)^(12*time)\)
Taking the natural logarithm (ln) of both sides:
\(ln(30) = ln((1.0025)^(12*time))Using logarithmic properties (ln(a^b) = b * ln(a)):ln(30) = 12*time * ln(1.0025)\)
Solving for time:
\(time = ln(30) / (12 * ln(1.0025))\)
Using a calculator:
time ≈ 24.6
c)To calculate the equivalent effective interest rate for a nominal rate of 5% compounded at different intervals:
i. Semi-annually:
The effective interest rate for semi-annual compounding is calculated using the formula:
Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1
For semi-annual compounding:
\(Effective Interest Rate = (1 + (0.05 / 2))^2 - 1\)
Calculating:
Effective Interest Rate ≈ 0.050625 or 5.06%
ii. Quarterly:
The effective interest rate for quarterly compounding is calculated similarly:
\(Effective Interest Rate = (1 + (0.05 / 4))^4 - 1\)
Calculating:
Effective Interest Rate ≈ 0.051136 or 5.11%
iii. Daily:
The effective interest rate for daily compounding is calculated using the formula:
Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1
Since there are approximately 365 days in a year:
\(Effective Interest Rate = (1 + (0.05 / 365))^365 - 1\)
Calculating:
Effective Interest Rate ≈ 0.051267 or 5.13%
iv. Continuously:
The effective interest rate for continuous compounding is calculated using the formula:
\(Effective Interest Rate = e^(nominal rate) - 1\)
For a nominal rate of 5%:
\(Effective Interest Rate = e^(0.05) - 1\)
Calculating:
Effective Interest Rate ≈ 0.05127 or 5.13%
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Scientists were interested in testing a new technique to prevent slipping on ice: wearing socks over boots!
500
500500 volunteers were randomly assigned to two groups. Both groups were asked to walk downhill on an icy road. One group simply wore boots, while the other group wore socks over their boots. All boots and socks were supplied by the scientists.
Once downhill, the participants were asked to indicate the number of times they slipped. Then, the scientists compared the average "slipperiness" score of each group.
What type of statistical study did the scientists use?
Answer:
The scientist used the experimental statistical study.
Step-by-step explanation:
Statistical study is the process of collecting, analyzing and presentation of data to achieve an accurate conclusion. The major types are: survey, and experimental.
Survey statistical study can easily be achieved by the use of questionnaires to sample the opinion of participants. While experimental statistical study involve the participants observing a process or some procedures before conclusions can be made.
In the given question, the scientist performed an experiment by asking participant to undergo a process before making his conclusion. Thus, he used an experimental statistical study.
$1 = £0.69. Change $190 into £
Answer: $190=£131.1
Step-by-step explanation:
190x0.69=
131.1
Answer:
£131.1
Step-by-step explanation:
0.69 x 190 = 131.1
One third the sum of two consecutive
numbers is one less than the smaller.
Find the numbers.
Victoria went shopping for ingredients to make a stew the table shows the word weight and the cost of each of the ingredients that she bought
Answer: Carrots cost(s) the most per pound
Step-by-step explanation:
Suppose the angle of depression from a race car driver's eyes to the bottom of the 3 foot high back end of the car in front of him is 18 degrees. How far apart, to the nearest foot, are their bumpers? Assume the horizontal distance from the race car driver's eyes to the front of his car is 5 feet
For the given situation, angle of depression is 18 degrees and the horizontal distance from the driver's eyes to the front of the car is 5 feet then the bumpers are 5.26 feet apart from the nearest foot.
As given in the question,
Angle of depression between driver's eye to bottom of 3 foot high back end of car front is equal to 18°
Horizontal distance from the driver's eyes to the front of the car = 5 feet
Let us consider 'x' be the distance between bumper and nearest foot .
For the given situation right angle triangle get formed,
x represents the hypotenuse of the triangle,
5 feet is the base of the triangle
Using cosine rule,
cos 18° = 5 / x
⇒ x = 5 / cos 18°
⇒ x = 5 / 0.9511
⇒ x = 5.26 feet (approximately)
Therefore, for the given situation, angle of depression is 18 degrees and the horizontal distance from the driver's eyes to the front of the car is 5 feet then the bumpers are 5.26 feet apart from the nearest foot.
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There are 3 times as many students participating in the hiking trip this year than last year. There are 42 students on the trip last year.
Explain how to find the number of students that came on the hiking trip last year.
Answer:
126 students this year
Step-by-step explanation:
All you got to do is multiply 42 by 3
Find the slope of a line that
goes through the two points
(-3, 6) and (2, -5).
Answer:
-2.2
Step-by-step explanation:
m = y2 - y1/ x2- x1
m = -5 - 6/ 2 --3
m = -11/5
m = -2.2
BRAINLIEST EASY 6TH GRADE MATH HELP PLS (decimals)
Si una pista de carreras mide 48 kilómetros ¿Cuántos kilómetros recorre un deportista si da 4 vueltas y un tercio?
ayuda x favor doy coronita
Así que, si un deportista da 4 vueltas completas y un tercio en una pista de carreras de 48 kilómetros, recorre un total de 52 kilómetros.
Para saber cuántos kilómetros recorre un deportista si da 4 vueltas y un tercio en una pista de carreras que mide 48 kilómetros, tenemos que realizar una serie de cálculos. Primero, debemos determinar cuántos kilómetros recorre un deportista en una vuelta completa. Para ello, dividimos la longitud total de la pista entre el número de vueltas que se deben dar: 48 km ÷ 4 vueltas = 12 km por vuelta
Esto significa que cada vez que el deportista da una vuelta completa a la pista, recorre 12 kilómetros.
Sin embargo, también se indica que el deportista da "un tercio" de otra vuelta. Para calcular esto, dividimos la longitud de una vuelta entre 3:
12 km ÷ 3 = 4 km
Por lo tanto, el deportista recorre un total de 4 kilómetros más en la última vuelta.
Para calcular el total de kilómetros recorridos por el deportista, sumamos la distancia total de las vueltas completas más el tercio adicional:
(12 km x 4 vueltas) + 4 km = 48 km + 4 km = 52 km
Espero que esto haya sido útil para ti. ¡Buena suerte en tus estudios!
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graph the solution to this inequality on the number line. -4x+7>x-13
Answer:
the solution is x<4 (color green)
Step-by-step explanation:
hello :
draw the graph for the line : y= x-13 ( color bleu)
draw the graph for the line : y= -4x+7 ( color red)
the solution is x<4 (color green)
find the value of k if (x-3) is a factor of P(x)=2x3-5x2+3x+k
Answer:
k = -18
Step-by-step explanation:
If x-3 is a factor, what this means is that if we substitute;
x = 3 into the equation, we should get 0
This is from the factor theorem
Thus ;
P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k
0 = 54 - 45 + 9 + k
k + 18 = 0
k = -18
65^2 + b^2 = 97^2
what is the length of the missing leg?
\( \sf{}b_{1} = - 72 \: \: \: or \: \: \: b_{2} = 72\)
Explain.
\( \sf{65}^{2} + {b}^{2} = {97}^{2} \)
\( \sf{}4.225 + {b}^{2} = 9.409\)
\( \sf {b}^{2} = 9.409 - 4.225\)
\( \sf {b}^{2} = 5.184\)
\( \sf{}b_{1.2} = ±\sqrt{5.184} \)
\( \sf{}b_{1.2} = ±72\)
\( \sf{}b_{1} = - 72 \: \: \: or \: \: \: b_{2} = 72\)
.
.
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Solve for x
X/3 -2
C. X -18
Answer:
i actuaaly dont know im sorry
help is highly appreciated
Answer:
Step-by-step explanation:
2-(-1\8)±-7\4 then
2 plus 1\8 plus -7\4
2 plus 1\8 plus -14\8
2 -13\8
2= 16/8
3\8?
Answer:
3/8
Step-by-step explanation:
Substitute given information into given equation
b=2, c=-7/4
2-(-1/8) + - 7/4
Make 2 into 16/8 (by multiplying it by 8/8 To make denominator the same)
16/8 -(-1/8) + -7/4
17/8 (Because when negative and negative will make positive)
17/8+ -7/4
Make -7/4 into -14/8 (by multiplying it by 2/2 To make denominator the same)
17/8 -14/8 (Because negative and positive will make negative)
3/8 is the final answer
I hope this helps, dont hesitate to ask for any question.
Mark me as brainliest is appreciated.Tq!!
A package in the shape of a rectangular prism has a length of 412 feet, a width of 234 feet, and a height of 213 feet. What is the volume, in cubic feet, of the package?
1618
161112
2278
2878
Please help ASAP Meteorologists are planning the location of a new weather station to cover Santa Cruz, Morgan Hill, and Gilroy, California. To optimize the radar coverage, the station must be equidistant from the three cities which are located on a coordinate plane at 5(-5,-5), M(2, 2), and G(4,-2). What are the coordinates where the station should be built?
Answer:
(-1, -2.5)
Step-by-step explanation:
(3, 0) is the midpoint between (2, 2) and (4, -2)
(-5, -5) (3, 0) the midpoint between these two points is
(-5 + 3) / 2 = -1, (-5 + 0) / 2 = -2.5