Answer:-12
Step-by-step explanation:
Add 10+14 to get 24 then divide it by a negative 2 to get -12
Answer:
x = ±2
Step-by-step explanation:
x^2 – 14 = –10
Add 14 to each side
x^2 – 14+14 = –10+14
x^2 = 4
Take the square root of each side
sqrt(x^2) = ±sqrt(4)
x = ±2
Find the largest prime divisor of $15^6 - 7^6$[tex]Find the largest prime divisor of $15^6 - 7^6$[/tex]
Answer:
Largest prime factor of the given expression is 379.
Step-by-step explanation:
Given the expression:
[tex]15^6 - 7^6[/tex]
To find:
The largest prime factor of the given expression.
Solution:
First of all, let us factorize the given expression.
[tex]15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)[/tex]
Let us learn two formula:
[tex]x^3+y^3 = (x+y)(x^2+y^2-xy)[/tex]
[tex]x^3-y^3 = (x-y)(x^2+y^2+xy)[/tex]
Applying the above formula in the expression written above:
[tex](15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2[/tex] ...... (1)
Similarly:
[tex](15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379[/tex]........ (2)
Multiplying the expressions from (1) and (2) to get the result:
[tex]\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2[/tex]
So, largest prime factor of the given expression is 379.
The largest prime divisor of the expression is 379.
How to solve the divisor?The expression will be factorized. This will be:
= (15³)² - (7³)²
= (15 + 7)³(15 - 7)³
This can be illustrated as:
(15 + 7)³ = 2 × 11 × 13²
(15 - 7)³ = 2³ × 379
In conclusion, the largest prime divisor of the expression is 379.
Learn more about divisor on:
https://brainly.com/question/552761
Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y minutes, what portion of the leaves do they rake in one minute if they work together?
Answer:
in one minute they rake [tex]\frac{y+x}{xy}[/tex] leaves working together.
Step-by-step explanation:
If Maya rakes the leaves in x minutes, then, in one minute she rakes [tex]\frac{1}{x}[/tex] leaves.
In the case of Carla, if she rakes the leaves in y minutes, in one minute she rakes [tex]\frac{1}{y}[/tex] leaves.
Therefore, to know the portion of leaves they can rake in one minute working together, we need to sum up both of the portions each one of them rake in one minute, this gives us: [tex]\frac{1}{x}+ \frac{1}{y}[/tex]
Now, to simplify this expression:
[tex]\frac{1}{x}+ \frac{1}{y} =\frac{y+x}{xy}[/tex]
Thus, in one minute they rake [tex]\frac{y+x}{xy}[/tex] leaves.
Which of the following options could represent a possible set of interior angles of a triangle? 100°, 130°, and 130° 30°, 70°, and 80° 25°, 3°, and 35° 45°, 105°, and 120°
Answer:
2) 30, 70, 80
Step-by-step explanation:
Well there has to be 3 angles that all add up to 180°.
1)
100+130+130
=360
2)
30+70+80
= 180
3)
25+3+35
=63
4)
45 + 105 + 120
=150
150+120
270
4 lemon are brought for Rs. 10 and sold 3 for Rs. 10 ,what is the profit %
Answer:
The profit is Rs 2.5Step-by-step explanation:
In other to solve for the profit we have to solve for the unit cost of one lemon first
If 4 lemons cost Rs. 10
then 1 lemon will cost= 10/4= Rs 2.5
knowing that one cost Rs 2.5
cost price of three would be 3* Rs 2.5= Rs 7.5
Since three was sold for Rs. 10.
The profit made is
cost of three- selling price of three= Rs. 10- Rs 7.5= Rs 2.5
PLEASE 40 POINTS AND I WILL GIVE BRAINLIESTHow many solutions does this system have? 2 x minus 3 y = 10. Negative 4 x + 6 y = negative 20. one two an infinite number no solution
Answer:
Infinite solutions
Step-by-step explanation:
2x-3y=10
-4x+6y=-20
Turn them into point-slope form.
y = 2/3x - 10/3
y = 2/3x - 10/3
They are the same equation, so they will have infinite solutions.
Answer:
infinite solutions i did the quiz and got a 100 pls give brainliest
Step-by-step explanation:
Rewrite [tex]\frac{200x - 300}{x}[/tex] as a sum of two fractions, and simplify.
Answer:
We can rewrite this as [tex]\frac{200x}{x} + \frac{-300}{x}[/tex].
[tex]\frac{200x}{x}[/tex] simplifies to 200 after eliminating x from the numerator and denominator and [tex]\frac{-300}{x}[/tex] becomes [tex]-\frac{300}{x}[/tex] so the final answer is [tex]200 - \frac{300}{x}[/tex].
I believe this is pretty easy but it's: solve for x using common denominators 3/4(x+2)=x/(x+3) Answer choices below:
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4(x+2)}[/tex] = [tex]\frac{x}{x+2}[/tex]
multiply numerator/ denominator of [tex]\frac{x}{x+2}[/tex] by 4, thus
[tex]\frac{3}{4(x+2)}[/tex] = [tex]\frac{4x}{4(x+2)}[/tex]
Since the denominators are common , equate the numerators, that is
4x = 3 ( divide both sides by 4 )
x = [tex]\frac{3}{4}[/tex]
Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.
Answer:
15.59 in^2
Step-by-step explanation:
The area of an equilateral triangle with side length "s" is given by ...
A = (√3)/4·s^2
Filling in your numbers, we have ...
A = (√3)/4·(6 in)^2 = 9√3 in^2
A ≈ 15.59 in^2
The area is about 15.59 square inches.
is the folllowing shape a square? how do you know
Answer:If it has 4 equal sides
If the angles are 90°
Hope this may helps you
Answer:
A square is characterized by
4 equal sides.Each angle measures 90°Diagonals meet and bisect each other at 90°Opposite sides are parallel and equal.Diagonals are equal.Hope this helps ;) ❤❤❤
Real solutions please WILL GIVE BRAINLIEST
Answer:
the answer is A=2
Step-by-step explanation:
a real solution is a solution that uses real numbers. This equation has 2 real solutions.
Answer:
A. 2 real solutions
Step-by-step explanation:
One graph is a parabola and 1 graph is a straight line and they intersect twice.
Todd bought a jet ski through a interwar free payment plan. The ski was $2000 and his payments were $250 each. What percent of the total cost are the payments?
Answer:
12.5%
Step-by-step explanation:
The price for the ski = $2000
The payments made each = $250
percentage of the total cost that the payment is = ?
The percentage will be calculated as
the ratio of the payments made to the price of ski times 100%
250/2000 x 100%
==> 0.125 x 100% = 12.5%
The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below.
On a coordinate plane, a graph of a function is in quadrants 1 and 4. The function goes through the x-axis at (2, 0), (3, ), and (4.5, 0).
How many roots of f(x) are rational numbers?
0
1
2
3
Mark this and return
Answer:
it'd be 3! :)
Step-by-step explanation:
took quiz
to be sure, the graph goes like
/ , then a hill like shape, then goes U, and then goes up
The number of rational roots of the equation are 3.
What is the root of an equation?The root of an equation are the solutions to an equation. The equation as shown is a cubic equation hence will have three roots shows as (2, 0), (3, 0), and (4.5, 0).
It thus implies from the foregoing that the number of rational roots of the equation are 3.
Learn more about root of an equation:https://brainly.com/question/12029673
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If some of the omitted variables, which you hope to capture in the changes analysis, in fact change over time within entity, then the FE estimator a. will be unbiased only when allowing for heteroskedastic-robust standard errors. b. may still be biased. c. will only be unbiased in large samples. d. will always be unbiased.
Answer:
d. will always be unbiased.
Step-by-step explanation:
When some of variables are omitted the estimator on indulge charge regressor may still be unbiased. If there is a special case where T = 2 then the FE estimator will be unbiased. Fixed effect regression model has different intercepts.
Solve 5c − c + 10 = 34.
Answer: 6
Step-by-step explanation: 1. 5c-c= 4c. The equation would then be 4c+10=34.
2. From there, you subtract 10 from both sides of the equation. By doing this, you have the variable and the nonvariable on separate sides of the equation.
3. After doing that, you should have 4c=24. To get the variable by itself, divide both sides by 4. 4c/4 is c and 24/4 is 6.
The final answer is 6. Hope this helped you:)
The step function g(x) is defined as shown. g(x) = StartLayout Enlarged left-brace 1st row 1st column negative 3, 2nd column x less-than-or-equal-to 0 2nd row 1st column 2, 2nd column 0 less-than x less-than-or-equal-to 4 3rd row 1st column 5, 2nd column 4 less-than x less-than-or-equal-to 10 EndLayout
Answer:
{–3, 2, 5}
Step-by-step explanation:
The range refers to the values for the axis i.e to be dependent when there is a defined function
And the range is the combination of the integer i.e to be compounded by these three values
Data provided in the question
-3 , x ≤ 0
2, 0 < x ≤ 4
5, 4 < x ≤ 10
Based on the above information, the range of g(x) is {-3,2,5}
Hence, the correct option is c.
Answer:
C
Step-by-step explanation:
Kendra rides a bicycle on a path that is 84 miles her average speed is 7 miles per hour to find about how long the trip takes solve the distance formula d = rt for t then substitute to find the time the trip takes
Answer:
Hello There!
~~~~~~~~~~~~~~~~~~
Kendra is planning to ride her bike that is 84 miles long. She plans to average 7 miles per hour. How long will the trip take?
-----
time = distance/rate
-----
t = 84 miles/7 m/hr = (84/7)hrs = 12 hrs.
Cheers,
Stan H.
------
So the answer is 12 hours.
------
Hope this helped you. Brainliest would be nice!
31. Five more than twice a number is three
times the difference of that number and
two. What is the number?
Answer: 5(x+3)(x-2)
Step-by-step explanation:
just read closely and pay attention in class.
A shopkeeper sold an article at 20 % discount and made a loss of Rs 90. If he had
sold it at 5 % discount, he would have gained Rs 90. Find the cost price and the
marked price of the article.
Answer:
The cost price of the article is Rs 1050
The marked price of the article Rs 1200
Step-by-step explanation:
The given discount on the article = 20%
The amount loss = Rs 90
With a discount of 5% the amount gained = Rs 90
Let the cost price of the article = X
Let the marked price of the article = Y
Therefore, we have;
(1 - 0.2) × Y = X - Rs 90
(1 - 0.5) × Y = X + Rs 90
Which gives;
0.8·Y = X - Rs 90 .......................(1)
0.95·Y = X + Rs 90.....................(2)
Subtracting equation (1) from equation (2), we have;
0.95·Y-0.8·Y = X + Rs 90 - (X - Rs 90) = X - X + Rs 90 + Rs 90 = Rs 180
0.15·Y = Rs 180
Y = Rs 180/0.15 = Rs 1200
Therefor, the marked price of the article = Rs 1200
From;
0.8·Y = X - Rs 90, we have;
0.8×Rs 1200 = X - Rs 90
X = 0.8× 1200 + 90 = Rs 1050
Therefore, the cost price of the article = Rs 1050.
If a equals 15, then what number does 2a - 5 equal?
Answer:
25
Step-by-step explanation:
a=15
2(15)-5=25
30-5=25
Answer:
25
Step-by-step explanation:
The problem substituting a for 15 would be 2(15)-5
2*15 is 30, then -5 is 25.
Simplify the polynomial expressions by combining like terms, and then multiply the resulting
binomial expressions to find their product.
(6x - 9 - 2x)(8 + 5x - 5)
Answer:
The simplified expression is
20x^2 - 33x - 27
Step-by-step explanation:
(6x - 9 - 2x)(8 + 5x - 5)
We must first rewrite the expression as a product of two binomials.
This can be done by adding like terms
(6x - 9 - 2x)(8 + 5x - 5)
We have,
(4x-9)(5x+3)
Multiplying the resulting binomial expression
(4x-9)(5x+3)
(20x^2+12x-45x-27)
Add the like terms
20x^2-33x-27
The simplified expression is
20x^2 - 33x - 27
Twenty x squared minus thirty-three x minus twenty-seven
Answer:
20x^2 - 33x - 27
Step-by-step explanation:
pls say me the 12th qns
Answer:
Step-by-step explanation:
12) p & q are parallel lines , n is transversal
4z = 108 { corresponding angles are congruent}
Divide both sides by 4
z = 108/4
z = 27°
n & m are parallel lines , p is transversal
3y = 4z { corresponding angles are congruent}
3y = 4 * 27
y = [tex]\frac{4*27}{3}[/tex]
y = 4*9
y = 36°
n & l are parallel lines, q is transversal
6x = 108 { corresponding angles are congruent}
x = 108/6
x = 18°
A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin 8°= 0.1392)
Answer:
16.704m
Step-by-step explanation:
To solve the above question, we are going to use the Trigonometric function of Sine.
sin θ = Opposite side/Hypotenuse
Where are given θ = 8°
Sin 8° = 0.1392
In the question, we are told that ,
A car travels 120m along a straight road that is inclined at 8° to the horizontal, hence,
Hypotenuse = 120m
We are asked to calculate the vertical distance through which the car rises hence,
Opposite side = vertical distance.
Therefore,
Sin 8° = Opposite/ 120m
Opposite = Sin 8° × 120m
Opposite = 0.1392 × 120m
Opposite = 16.704m
Therefore, the vertical distance through which the car rises is 16.704m
Hey loves!!! Plz help if you have the time.<3
Answer:
The first and last answer.
Step-by-step explanation:
If you look closely at the triangles you can tell which ones are the same and which differ.
Hope this helps!! <3
(३) एक शब्द में उत्तर लिखो:
१. कवि की जिह्वा पर इसके गीत हों -
२. मातृभूमि के चरण धोने वाला
३. मातृभूमि के सपूत -
४. प्रतिदिन सुनने/सुनाने योग्य नाम -
५. मातृभूमि के चरणों में इसे नवाना है
करना चाहिए। वे तुम्हें नष्ट कर देंगे।
आप कोई मौका नहीं खड़े हैं। तुम
उसके हाथ पर मर जाओगे। पछताना
The bottom cup in a 73 cm tall stack of nested identical cups is 10 cm tall. If each additional cup adds 1.5 cm to the height of the stack, how many total cups are in the stack?
Answer:
43 cups
Step-by-step explanation:
Subtract the height of the one cup from the stack
73 - 10
63
The rest of the cup each add 1.5 cm to the stack
take the remaining height and divide by 1.5 for each cup
63 cm/ 1.5 cm per cup
42 cup
There are 42 cups in the remaining part of the stack
Plus the 1 cup that is 10 cm
42+1 = 43 cups total in the stack
Answer:
[tex]\boxed{\sf 43 \ cups}[/tex]
Step-by-step explanation:
The stack is 73 cm tall, one cup is 10 cm.
Let’s subtract the height of the one cup from the height of the stack.
[tex]\sf 73 - 10\\=63[/tex]
The cups left each add 1.5 cm.
Let x be the cups left.
[tex]\sf 1.5x=63\\x=\frac{63}{1.5} \\x=42[/tex]
Add the 1 to the cups left, because that first cup was subtracted from the height of the stack.
[tex]\sf 42+1\\=43[/tex]
The exchange rate for US dollars is £1=$1.62.How many dollars will I get for
a) £3. b)50p. c) £2.60 d) £5.63
Round your answer to 2 decimal places.
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-*x+9
y=-*x+5
y=-3x – 1ly
y=-3x + 25
Answer:
y = -3x - 11
Step-by-step explanation:
(y - y1)/(x - x1) = (x2 - x1)/(y2 - y1)
(y - 7)/(x + 6) = (-3 + 6)/(6 - 7)
(y - 7)/(x + 6) = 3/-1 = -3
y - 7 = -3(x + 6)
y - 7 = -3x - 18
y = -3x -18 - 7
y = -3x - 11
Please answer this question only if you know correct answer please
Answer:
UV=10.5
Step-by-step explanation:
in triangle XUV it is a right angle at U
sin41=opp/hyp
sin 4` =UV/16
UV=16sin41°
UV=10.5
Any answers on this?
Answer:
40
Step-by-step explanation:
We're given an angle that forms a linear pair, and we're given an isosceles triangle. The angle to the right of 110 is 70, since they have to add up to 180. Since this is an isosceles triangle (denoted by the two dashes), we know that the other base angle has to be 70. 70 + 70 = 140; all angles add up to 180 so 180 - 140 = 40 degrees.
Answer:
40 degrees
Step-by-step explanation:
Since this is an isosceles triangle the 2 bottom angles are congruent
The bottom angles will be 70 degrees bc the exterior angle is 110 and 180-110=70
Because a triangle adds up to 180 degrees you need to use the equation 70 + 70 + x = 180 and you should get x = 40 degrees
PLEASE PLEASE HELP IM BEING TIMED The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school. A 4-column table with 3 rows. The first column has no label with entries travel, not travel, total. The second column is labeled college with entries 43, 24, 67. The third column is labeled not college with entries 10, 5, 15. The fourth column is labeled total with entries 53, 29, 82. Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent. 18% 22% 35% 82%
Answer: 82%
Step-by-step explanation:
- - - - - - - - college - - not college - - - - total
Travel - - - - 43 - - - - - - - 10 - - - - - - - - 53
Not travel - 24 - - - - - - - 5 - - - - - - - - - 29
Total - - - - 67 - - - - - - - 15 - - - - - - - - - 82
Marginal relative frequency of students who plan to attend college:
(Number of students who plan to attend the college / Total number of the students)
Number of students who plan to attend college = 67
total number of students = 82
Marginal relative frequency = 67/82
= 0.8170731
= (0.8170731) * 100%
= 81.7% = 82%
Answer:
a: 14/50
b: 15/50
c: 21/50
Step-by-step explanation:
on edge