Answer:
Equal to 1,204-299
Step-by-step explanation:
Anything divided by 1 is equal to itself.
H:36 is the same ratio as a:e
Answer:
super find out how many of
Write the equation of the line passing through the points (−2,3) and (−1,−2) in Slope-Intercept and Point-Slope Form.
Please help me with this problem
Answer:
2nd one, 3rd one and last one
the pair of the lines x^2-3y^2=0 and the straight line x=a enclose a triangle which is
Step-by-step explanation:
x²-3y²=0x=√3y and x-√3yΔOAB is equilateral triangle∴ orthocentre and centroid of ΔOAB concides ∴ orthocentre =( 29/3 ,0)=( x1 + x2 + x3 / 3 , y1 + y2 + y3 / 3 )I NEED BRAINLIEST ✌️ PLZFactor the expression (-x^2 + 5x + 24.), and use the factors to find the x-intercepts of the quadratic relationship it represents.
Type the correct answer in each box, starting with the intercept with the lower value.
The x-intercepts occur where x =
and x =
.
Answer:
[tex]{ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}[/tex]
The factors to the given expression are -1(x+3)(x-8)
The x-intercepts are -3, 8
What do we mean by factorization?Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.
How do we factorize the given expression?We equate the given expression to f(x)
(-x² + 5x + 24) = f(x)
⇒ -1(x² - 5x - 24) = f(x)
⇒ -1(x² - (8-3)x - 24) = f(x)
⇒ -1(x² + 3x - 8x -24) = f(x)
⇒ -1(x(x+3) -8(x+3)) = f(x)
⇒ -1(x+3)(x-8) = f(x)
∴The factor to the given expression is -1(x+3)(x-8)
How do we find the x-intercepts?To find the x-intercepts we equate f(x) = 0
⇒ -1(x+3)(x-8) = 0
⇒ (x+3)(x-8) = 0
x-intercepts are the roots of the above equation.
∴ The x-intercepts occur where x = -3 and x = 8
Learn more about the Factorization and x-intercepts at
https://brainly.com/question/11579257
https://brainly.com/question/3951754
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Camille has 3/4 of a cup of powdered sugar. She sprinkles 1/5 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. how much sugar does Camille sprinkle on the brownies.
Answer:
3/20 of a cup of sugar
Step-by-step explanation:
Find how much she sprinkled on the brownies by multiplying 3/4 by 1/5:
3/4 x 1/5
= 3/20
So, she sprinkled 3/20 of a cup of sugar on the brownies
Drag the operator to the correct location on the image.
Which operation results in a binomial?
The correct answer is to drag The Plus sign (+)
What is an Operator?This has to do with the use of symbols to denote mathematical equations such as addition, subtraction, etc.
Hence, we can see that the correct position to put the operator on the image to result in a binomial is to drag the plus sign (+) so that the equations can be solved,.
Read more about operators here:
https://brainly.com/question/25974538
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Answer:.
Step-by-step explanation:
Use a half angle identity to find the exact value of tan 5pi/12
a. 2+squared3/2
b. 2-squared3/2
C.2+squared 3
D.2-squared3. Please select the best answer from the choices provided
Observe that
5/12 = 1/4 + 1/6
so that
tan(5π/12) = tan(π/4 + π/6)
Then
tan(5π/12) = sin(π/4 + π/6) / cos(π/4 + π/6)
… = (sin(π/4) cos(π/6) + cos(π/4) sin(π/6)) / (cos(π/4) cos(π/6) - sin(π/4) sin(π/6))
… = (cos(π/6) + sin(π/6)) / (cos(π/6) - sin(π/6))
(since sin(π/4) = cos(π/4) = 1/√2)
… = (√3/2 + 1/2) / (√3/2 - 1/2)
… = (√3 + 1) / (√3 - 1)
… = (√3 + 1) / (√3 - 1) × (√3 + 1) / (√3 + 1)
… = (√3 + 1)² / ((√3)² - 1²)
… = ((√3)² + 2√3 + 1²) / (3 - 1)
… = (3 + 2√3 + 1) / 2
… = (4 + 2√3) / 2
… = 2 + √3 … … … (C)
If you insist on using the half-angle identity, recall that
sin²(x) = (1 - cos(2x))/2
cos²(x) = (1 + cos(2x))/2
==> tan²(x) = (1 - cos(2x)) / (1 + cos(2x))
Let x = 5π/12. The angle x lies in the first quadrant, so we know tan(x) is positive.
==> tan(x) = +√[(1 - cos(2x)) / (1 + cos(2x))]
We also know
cos(2x) = cos(5π/6) = -√3/2
which means
tan(x) = tan(5π/12) = √[(1 - (-√3/2)) / (1 + (-√3/2))]
… = √[(1 + √3/2) / (1 - √3/2)]
… = √[(2 + √3) / (2 - √3)]
… = √[(2 + √3) / (2 - √3) × (2 + √3) / (2 + √3)]
… = √[(2 + √3)² / (2² - (√3)²)]
… = √[(2 + √3)² / (4 - 3)]
… = √[(2 + √3)²]
… = 2 + √3
If x + 10 = 70, what is x?
Answer:
x=60
Step-by-step explanation:
First, you subtract 10 from both sides. Your final answer is 60.
A pallet of floor tiles contains 60 cases of tiles, and the yard has 10 complete pallets of tile. If you remove 180 cases for one customer how many cases of tiles will be remaining in the yard?
Total cases = total pallets x cases per pallet
Total cases = 60 x 10 = 600 cases
600 cases - 180 cases = 420 cases left
Answer: 420 cases
The quotient of (x -3x3-3x2 - 10x + 15) and a polynomial is (x2-5). What is the polynomial?
Answer:
(-3x -3 - 24x/(x²-5))
Step-by-step explanation:
(x - 3x³ - 3x² - 10x + 15) / p = x² - 5
(-3x³ - 3x² - 9x + 15) / p = x² - 5
p = (-3x³ - 3x² - 9x + 15)/(x² - 5) = -3x - 3 - 24x/(x² - 5)
- -3x³ + 15x
---------------------------------
0 - 3x² - 24x + 15
- - 3x² + 15
‐-----------------------------------
0 - 24x + 0
. On a test with 199 multiple choice questions, you received 149 correct answers. Estimate your results as a percentage.
A hatbox in the shape of a cylinder is modeled below the diameter of the cylinder is 24 inches the height of the cylinder is 8 inches what is the volume of the cylinder?
Answer:
3619.11 in³Step-by-step explanation:
Cylinder volume:
V = πr²hSubstitute values:
V = π(24/2)²*8 = 3619.11 in³As we know the,
General formula for volume of cylinder,
→ V = πr²h
Now we can find,
The volume of the cylinder,
→ πr²h
→ π(24/2)² × 8
→ π × 12² × 8
→ 3619.11 in³
Hence, volume of cylinder is 3619.11 in³.
solve the equation 4x-|-2|=18
In a school of 50 pupils,15 study English only and 20 study French only. 5 students do not study any of the two subjects. (i)illustrate the information on a Venn diagram
Answer:
48
Step-by-step explanation:
2-6$83737463363+77#7#+#++;#+#73737363644646464672727282939
Answer:
10
Explanation:
n(U)= 50
n०(E)= 15
n०(F)= 20
number of (E U F) whole complement= 5
NOW,
n(U)= 15+20+5+n(E intersection F)
or, 50= 40+n(E intersection F)
.•. n( E intersection F) = 10
If P(2, p) is the mid point of the line segment joining the points A(6, -5) and B(-2, 11), find the value of p.
Answer:
p = 3
Step-by-step explanation:
Applying,
mid point of A and B is
P = [(x₁+x₂)/2,(y₁+y₂)/2]............... Equation 1
From the question,
Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11
Substitute these values into equation 1
P = [(6-2)/2,(-5+11)/2)
P = (2,3)
comparing,
P(2,p) to (4,3)
Therefore,
p = 3
please help ASAP
-
-
-
-
Answer:
The answer is A.
How I got it:
Formula of finding a triangle: 1/2 bh.
In this case, the base is R and the Height is X.
1/2rx.
Which of the following represents the divisor and the dividend for the
synthetic division problem below?
Answer:
option D is correct
Step-by-step explanation:
Given data
From the given expression/options of answers, option D is correct
This is because the given expression in the attached file corresponds to the terms in option D
Find the value of "x" Wrong answer will be reported and explain please
Answer:
x = 20
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, sum to 180°
5x + 4x = 180
9x = 180 ( divide both sides by 9 )
x = 20
Answer:
The value of x is 40⁰.
Step-by-step explanation:
5x + 4x = 360⁰
DUE TO THE SUM OF QUADRATIC ANGLE.
Regan earns $1380 per month out of which he saves $1140 per month. What is the ratio (in the lowest form) of Regan's income to his savings? $$
Answer:
23:19
Step-by-step explanation:
This questions is looking for this ratio:
income:savings
Regan's income is $1,380 per month.
Regan's savings is $1,140 per month.
Substitue those numbers in our original ratio, and you'll get this:
1380:1140
However, this question wants the lowest form of the ratio.
To do that, you can find the GCF (greatest common factor) and divide both number's by it, or you can just randomly divide them by small numbers you know both of them are divisible by.
I'm going to use the 2nd method because it's usually quicker for big numbers like these:
1380/10 = 138
1140/10 = 114
138/2 = 69
114/2 = 57
69/3 = 29
57/3 = 19
29 and 19 are prime numbers, so you can't divide them anymore. This is how we know we've reached the lowest terms of these numbers.
So the answer is 29:19
Hope this helps (●'◡'●)
Answer: 23:19
Step-by-step explanation: 1380 and 1140 LCM is 60. 1380/6 = 23 and 1140/6= 19
Therefore, the answer is 23:19
Given f(x) = 1 - 2x with the range {-3, -5, -7 }, find the domain.
Answer:
{2,3,4}
Step-by-step explanation:
The range are simply the f(x) values
The range are the x values
To get the x values, we simply get x from each f(x)
So we have;
1-2x = -3
1+ 3 = 2x
2x = 4
x = 4/2
x = 2
Secondly;
1-2x = -5
1 + 5 = 2x
2x = 6
x = 6/2
x = 3
lastly;
1-2x = -7
1 + 7 = 2x
2x = 8
x = 8/2
x = 4
So the domain values are;
{2,3,4}
A mortgage can take up to 25 years to pay off. Taking a $250,000 home, calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period. What do you observe from your calculations?
Answer:
a-1. Using semi-annually compounded interest rates of 4%, or 0.04, we have:
M15 = $2,389.13
M20 = $2,091.10
M25 = $1,929.54
a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055
M15 = $2,841.49
M20 = $2,580.47
M25 = $2,450.28
a-3. Using semi-annually compounded interest rates of 7%, or 0.07
M15 = $3,329.35
M20 = $3,108.80
M25 = $3,009.40
b-1. It can be observed that there is a negative relationship between the month-end payment and the payment period.
b-2. It can be observed that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.
Step-by-step explanation:
The month-end payment for each period can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:
Mn = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
Mn = month-end payment for a particular year period = ?
PV = Present value or home value = $250,000
r = Monthly interest rate = semiannual interest rate / 6 months
n = number of months = Number of years * 12 months
Using equation (1), we have:
a. Calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period.
a-1. Using semi-annually compounded interest rates of 4%, or 0.04
M15 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(15*12)) / (0.04 / 6)) = $2,389.13
M20 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(20*12)) / (0.04 / 6)) = $2,091.10
M25 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(25*12)) / (0.04 / 6)) = $1,929.54
a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055
M15 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(15*12)) / (0.055 / 6)) = $2,841.49
M20 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(20*12)) / (0.055 / 6)) = $2,580.47
M25 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(25*12)) / (0.055 / 6)) = $2,450.28
a-3. Using semi-annually compounded interest rates of 7%, or 0.07
M15 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(15*12)) / (0.07 / 6)) = $3,329.35
M20 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(20*12)) / (0.07 / 6)) = $3,108.80
M25 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(25*12)) / (0.07 / 6)) = $3,009.40
b. What do you observe from your calculations?
Two things can be observed from the calculations:
b-1. At a particular semi-annually compounded interest rate, the month-end payment decreases as the payment period increases. This implies that there is a negative relationship between the month-end payment and the payment period.
b-2. At a particular payment period, the month-end payment increases as the semi-annually compounded interest rate increases. This implies that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.
En las olimpiadas de Matemática. Roció represen a su colegio. La prueba consistía en 60 problemas. Cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra. Luego del examen. Roció obtuvo un puntaje de 155. Ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas
Answer:
Rocío respondió 43 preguntas correctas y 17 incorrectas.
Step-by-step explanation:
Dado que en las olimpiadas de Matemática, Rocío representó a su colegio, y la prueba consistía en 60 problemas, de los cuales cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra, y luego del examen, Rocío obtuvo un puntaje de 155, y ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas, para determinar dicha duda se debe realizar el siguiente calculo:
60 x 4 = 240
40 x 4 - 20 = 140
45 x 4 - 15 = 165
42 x 4 - 18 = 150
43 x 4 - 17 = 155
Por lo tanto, Rocío respondió 43 preguntas correctas y 17 incorrectas.
17.27. How many Social Security numbers (see Exercise 8.12) have their nine digits in strictly increasing order
Answer:
"10 possibilities" is the appropriate response.
Step-by-step explanation:
The numbers will be:
⇒ [tex]123 \ 456 \ 789[/tex]
Now anyway we commence with right and afterwards remove nine from eight and seeing as maintain the sequence growing.
then,
[tex]012345678[/tex][tex]012345679[/tex][tex]012345689[/tex][tex]012345789[/tex][tex]012346789[/tex][tex]012356789[/tex][tex]012456789[/tex][tex]013456789[/tex][tex]023456789[/tex]Thus, the above is the correct answer.
A plane gets an average of 25 miles per gallon when it is traveling 500 miles per hour. The plane has 15,000 gallons of gas at the beginning of a trip and travels at an average speed of 500 miles per hour. Which of the following functions f models the number of gallons of gas remaining in the tank t hours after the trip begins?
(A) f = 15000 + (25t/500)
(B) f = 15000 - (25t/500)
(C) f = 15000 - (500t/25)
(D) f = 15000 - 25t
(E) f = 25t
Answer:
D; f = 15,000 - 25t
Step-by-step explanation:
From the question;
per gallon, the number of miles traveled is 25, given traveling speed is 500 miles per hour
So after t hours, if traveling at 500 miles per hour, the amount of fuel expended will be 25 * t = 25t gallons
So, to get the amount remaining, we subtract 25t from what we have at the start of the trip
Mathematically, we have this as;
f = 15,000 - 25t
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The graph plots four equations, A, b,c,and d
Which pair of equations has (0.8) as its solution?
Equation A and Equation C
Equation B and Equation
Equation C and Equation D
Equation B and Equation D
Answer:
equation A and equation c
Answer:
Equation A and Equation C
Your vacation cabin on the lake has three rooms. The bathroom is 12' X 6', the bedroom is 14' X 18' and the great room is 20' X 30'. The ceiling height is 10'. What is the total volume of your cabin? Group of answer choices 9420 Cubic Feet 9240 Cubic Feet 9240 Square Feet 9420 Square Feet
Answer: [tex]9240\ ft^3[/tex]
Step-by-step explanation:
Given
Dimension of the bathroom is [tex]12'\times 16'[/tex]
Dimension of the bedroom is [tex]14'\times 18[/tex]
Dimension of the great room is [tex]20'\times 30'[/tex]
Height of the ceiling is [tex]h=10'[/tex]
Total area of the cabin
[tex]\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2[/tex]
Volume of the cabin is [tex]V=A\times h[/tex]
[tex]\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3[/tex]
simplify the following radical expression -7√2 + 10 √2
Answer:
3√2
Step-by-step explanation:
* means multiply
-7√2 + 10 √2
take √2 out of the expression
√2 (-7 + 10)
√2 (3)
3√2
what percent of 98 million is 7740
Answer:
Step-by-step explanation:
x : 100 = 7740 : 98 000 000
x = (7740 * 100)/98 000 000
x = 0.007898 %
A percentage is a hundredth of a number Then [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]