Answer:
Step-by-step explanation:
45=5*3^2
75=5^2*3
1. LCM=product of the common and uncommon prime factors at the biggest power
LCM=3^2*5^2=9*25=225
2. HCF= product of the common prime factors at the lowest power
HCF=3*5=15
3. 10*x-3
4. 6^2-7^2=36-49=-13
5. I. K=4-1=3 drinks
II. Total=4+3=7 drinks
6. You will draw exact as inthe drawing with dimensions l=8 cm,h=3cm, w=4 cm
Answer:
Step-by-step explanation:
LCM of two numbers is the smallest number that is evenly divisible by the two numbers
1) 45 = 3 * 3 * 5 = 3² * 5
75 = 3 * 5 * 5 = 3 * 5²
LCM = 3² * 5² = 9 *25 = 225
LCM = 225
2) HCF of two numbers is the greatest number which divides each of them exactly.
HCF of 45 and 75 = 3*5 = 15
HCF = 15
3) 10x - 3
4) m² - n² = 6² - 7²
= 36 - 49
= -13
m² - n² = -13
When two numbers are in different sign, subtract and the result will have the sign of the bigger number.
5)a) Kate prepared (4-1) 3 drinks
b) Total volume of drinks = 4 + 3 = 7
I need some help on this
Answer: The answer is B
Step-by-step explanation:
Answer:
Option B is correct
Step-by-step explanation:
cos (3pi/4) = -cos(pi - 3pi/4) = -cos(pi/4) = -sqrt(2)/2
=> Option B is correct
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the steps below. What was Jada's error?
Answer:
Jada should have multiplied both sides of the equation by 108.
Step-by-step explanation:
The question is incomplete. Find the complete question in the comment section.
Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:
Step 1: Multiply both sides of the equation by -9/4 as shown:
-4/9 × -9/4 = x/108 × -9/4
-36/-36 = -9x/432
1 = -9x/432
1 = -x/48
Cross multiplying
48 = -x
x = -48
It can also be solved like this:
Given -4/9 = x/108
Multiply both sides by 108 to have:
-4/9 * 108 = x/108 * 108
-4/9 * 108 = 108x/108
-432/9 = x
x = -48
Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.
Answer: A
Step-by-step explanation: Took the test
d(1)=12 d(n)=d(n−1)⋅(−6) what is the fourth term?
Answer:
-822
Step-by-step explanation:
Not sure how to explain.
Answer:
-18
Step-by-step explanation:
d(1) = 1/12
d(2)=d(1) • (-6)=-1/2
d(3)=d(2)•(-6)=3
d(4)=d(3)•(-6)=-18
Adita has two options for how to invest $1,000. Plan A: Put the $1,000 in an account that pays $100 per year. Plan B: Put the $1,000 in an account that pays 5 percent interest per year. Which statement is true? Plan A will be worth more than plan B after two years. Plan A will be worth the same amount as plan B after one year. Plan B will be worth more than plan A after three years. Plan B will be worth more than plan A after four years.
Answer:
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
The correct answer is Plan A will be worth more than plan B after two years.
Step-by-step explanation:
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
Plan A will be worth more than plan B after two years.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, WE get;
For Plan A,
1000 dollars to be invested in an account that pays 100 dollars per year.
Hence, We get;
(1000 + 100 = 1100 dollars in a year
For Plan B;
1000 dollars to be invested in an account that pays 5% interests per year
So, WE get;
(1000 x 0.05 = 50
Hence, Total in a year,
= 1000 + 50
= 1050 dollars per year)
Thus, the correct answer is,
⇒ Plan A will be worth more than plan B after two years.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ5
HURRY TWO MINUTES PLEASE HELP
Answer:
(-1,-2)
Step-by-step explanation:
y≥-2x
y>|x+|^?
according to the graph only (-1,-1) are in the shaded area
If f(x) is differentiable for the closed interval [-1, 4] such that f(-1) = -3 and f(4) = 12, then there exists a value c, -1 < c < 4 such that: A) f'(c) = 3 B) f'(c) = 0 C) f(c) = -15 D) f(c) = 3
Answer:
A) f'(c) = 3
Step-by-step explanation:
The mean value theorem says that if f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists some c such that ...
a < c < b
f'(c) = (f(b) -f(a))/(b -a)
__
We are told that f(x) is differentiable on the closed interval [-1, 4], so we know it meets the requirements of the mean value theorem. Then we can conclude that there is some c such that ...
f'(c) = (12 -(-3))/(4 -(-1)) = 15/5
f'(c) = 3 . . . . for some c in the interval -1 < c < 4
what is the sum of the values of x that are solutions to the equation x^2 - 10x - 22 = 2 ? a. -12 b. -10 c. -2 d. 2 e. 10
Answer:
[tex]x = 2, 12[/tex]
Your correct answer is D, since I don't see a -12.
Step 1: Subtracting 2 from both sides
Since we have to find the value of x, we have to factor the equation. To do so, we first have to subtract the two from both sides of the equation so all the values are on one side of the equation.
[tex]x^2-10x-22(-2)=2(-2)\\x^2-10x-24=0[/tex]
Step 2: Factoring the equation
Part 1
After subtracting 2 from both sides of the equation, we have to factor the polynomial to be able to get it into two sets of parentheses, so in order to do that, we will ignore the equal sign and the 0 for now. We are now left with:
[tex]x^2-10x-24\\[/tex]
First, we find the multiples of the first term, [tex]x^2\\[/tex], and the last term, -24. Since there is an invisible 1 before the first term, we are basically finding the multiples of [tex]1x^2[/tex], which is [tex]1x[/tex] and [tex]1x[/tex], or x and x. Now we have to find the correct set of numbers for -24. Do do that, we have to make sure that when we multiply the first set of numbers (x, x) with the second set (?, ?) and add them together, then we would get the number in the middle (-10x). So: Two of the most obvious multiples for 24 are 6 and 4, 12 and 2, and 3 and 8. But, this is a negative 24, so we have to work ahead to find out which pair we use first. If we multiply 8 and 3 with x and x, we get 8x and 3x. When we add them together, we do not get 10x, but instead, we get 11x, so it is the wrong pair. If we do the same thing to 6 and 4, we would get 10x, but since 24 is negative, it is not correct because we would need one of the numbers to be negative. In this case, they equal to 10x, but one of the numbers would have to be negative because (if 6 was the negative):
[tex]-6 * 4=-24\\[/tex]
But:
[tex]4-6\neq 10\\[/tex]
So this is not the correct set either. Our last set is 12 and 2, and when we multiply by x (12x and 2x) and we set one of the numbers to be a negative (-12) and subtract them, we get -10x, so, therefore, this is the correct number pair.
[tex]-12*2=-24\\2-12=-10[/tex]
Part 2
With all that done, we now have to factor the numbers. We take the first numbers (x and x), and we place them in front of each of the two parentheses.
[tex](x,?)(x,?)[/tex]
Now, we place -12 and 2 in those places.
[tex](x,-12)(x,2)[/tex]
To find x, we have to plug in the equal sign and 0 from the beginning.
[tex](x,-12)(x,2)=0[/tex]
Since they both have to equal to 0, then that means there would be two different answers because, for example: 12 - 12 = 0, but 12 - 2 ≠ 0.
To find both solutions, we treat the numbers in each of the parentheses as its own equation, and we solve it from there.
x - 12 = 0
12 - 12 = 0
x - 2 = 0
2 - 2 = 0
12 and 2 are our solutions! Hope this helps :)
Answer:
12 and 2
Step-by-step explanation:
factor the euqation x^2-10x-22=2 and you get (x,-12)(x,2)=0 and when you solve that you get 12 and 2
plz help with this, Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8
Answer:
ANSWER:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
Answer:
I would say multiply everything by 2 and you’ll have an equivalent system of equations or multiply by 3 or any number, because im not sure if this is a multiple answer question, so sry
Can any one please help me I really need help please help me thank you
Step-by-step explanation:
Plug in -2 whenever u see x
3(-2) -7= 5(-2-1)
-6-7= -10-1
-13 = -11
Therefore, x is not equal to -2.
9 ^ (- 1/2) + 25 ^ (- 1/2) + 32 ^ (3/5)
Evaluate
Answer:
8.533333
Step-by-step explanation:
9^(− 1/ 2 )+25− 1 2 +32^ (3/ 5) = 9 (−1 /2) +25(− 1 /2) +32 ^(3 /5)
=0.333333+25^(− 1/ 2) +32 ^(3 /5)
=0.333333+25 ^(−1 /2) +32 ^(3/ 5)
=0.333333+0.2+32^ (3/ 5)
=0.533333+32 ^(3 /5)
=0.533333+8
=8.533333
Which expression will help you find the area of the triangular bases?
Answer:
C
Step-by-step explanation:
1÷2×8×3=12
Answer:
The two sides of the triangle are equal so by the property that : If opposite sides of a triangle are equal then the opposite angles are also equal .
Area of triangle = 1/2 multiplied by base and also multiplied by height
A =1/2*b*h
So, we can conclude that the opposite angles are 90 + 90 degrees = 180 degrees (as the angles are equal)
Therefore, c)1/2 *8*3 is right
PLEEASEEEEE HEEELP 40 POINTS
f • g denotes the product of f and g, so that
[tex](f\cdot g)(x)=f(x)\cdot g(x)=(3x-8)(-2x+5)[/tex]
Without computing the whole product, just look at the first terms, [tex]-6x^2[/tex]. This tells you that f • g is quadratic, and its graph is a stretched parabola that opens downward.
You can treat the product g • s similarly:
[tex](g\cdot s)(x)=(-2x+5)(4x^2-9x+2)[/tex]
The leading term is [tex]-8x^3[/tex], so the graph should resemble a stretched cubic curve reflected across the x axis.
The leading term is , so the graph should resemble a stretched cubic curve reflected across the x axis.
Ardem has two lights one flashes every 15 seconds the other flashes every 42 seconds. They start flashing at the same time. After how many seconds will they next flash at the same time??
Answer: After 210 seconds they with next flash at the same time.
Step-by-step explanation:
Given: Ardem has two lights.
One flashes every 15 seconds the other flashes every 42 seconds.
If they started flashing at the same time, then the number of seconds after that they with next flash at the same time = LCM (15, 42) [LCM - Least common multiple]
Prime factorization of 15 = 3 x 5
Prime factorization of 42 = 2 x 3 x 7
Then, LCM (15, 42) = 2 x 3 x 5 x 7 = 210
i.e. After 210 seconds they with next flash at the same time.
Write the equation of a circle with a center at (-2, 1) and passes through
the point (0, 2).
Answer:
[tex](x+2)^2} +(y-1)^2}=5[/tex]
Step-by-step explanation:
[tex](x-h)^2} +(y-k)^2}=r^2[/tex]
r=[tex]\sqrt{5}[/tex]
h=-2
k=1
Plug in
[tex](x+2)^2} +(y-1)^2}=5[/tex]
Find the perimeter of ΔABC
A shop keeper has offered an item for sale. Its label price is Rs . It is not sold in one-month period and after one month its label price is reduced by 20%. Again after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000. Find the value of x
Answer:
x = Rs 20,833.33
the value of x is Rs 20,833.33
Step-by-step explanation:
Let x,y and z represent the price of the item initially, after one month and after two months respectively.
Given that;
after one month its label price is reduced by 20%
y = x - 20% of x
y = x - 0.20x
y = 0.80x ........1
after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.
z = y - 10% of y
z = y - 0.10y
z = 0.90y ........2
Substituting equation 1 into 2;
z = 0.90(0.80x)
z = 0.72x
Also z = Rs 15000
So,
z = 0.72x = Rs 15000
0.72x = Rs 15000
x = Rs 15000/0.72
x = Rs 20833.33333333
x = Rs 20,833.33
the value of x is Rs 20,833.33
Simplify the expression:
(2x)^2 • 3x^3
Answer:
Step-by-step explanation:
(2x)²*3x³ 4x²*3x³12(x∧5)Please answer this in two minutes
Answer:
D. 1800°
Step-by-step explanation:
The given polygon has 12 sides.
The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.
Where n is the number of sides of the polygon.
Thus, the sum of the interior angles of the 12 sided polygon given above is:
(12 - 2) × 180
= 10 × 180 = 1800°
Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°
RE
AINING: -
48:41
Question 40 of 50
Find the equation of the straight line that passes through
(2,-3) and perpendicular to the line 3x-2y+4=0
A. 2y-3x=0
B. 3y-2x+5=0
C. 3y+2x+5=0
D. 2y-3x-5=0
Question 41 of 50
Answer:
C
Step-by-step explanation:
We start with the second line;
3x -2y + 4 = 0
3x + 4 = 2y
divide through by 2
3x/2 + 2 = y
Comparing this with standard form of y = mx + c
where m is slope
This means 3/2 is slope of the line
Since this line is perpendicular to the other line, then the product of their slopes is -1
3/2 * slope of second line = -1
Slope of second line = -1 divided by 3/2 = -2/3
We use the point slope form to find the equation of the other line
y-y1 = m(x-x1)
where m = -2/3 and (x1,y1) = (2,-3)
y-(-3) = -2/3 (x-2)
y + 3 = -2/3 (x -2)
3(y + 3) = -2(x-2)
3y + 9 = -2x + 4
3y + 5 = -2x
3y + 2x + 5 = 0
The ratio of boys to girls in a group is 5:3. If there are 24 more boys than girls, work out how many girls there are
Answer:
36
Step-by-step explanation:
Let's call the # of boys and girls 5x and 3x respectively. We can write:
5x = 3x + 24
2x = 24
x = 12 so the # of girls = 12 * 3 = 36
Answer:
36 girlssolution,
Let the number of girls be X
Number of boys be 'x+24'
Now,
[tex] \frac{x + 24}{x} = \frac{5}{3} \\ or \: 3(x + 24) = 5x \\ or \: 3x + 72 = 5x \\ or \: 3x - 5x = - 72 \\ or \: - 2x = - 72 \\ or \: x = \frac{ - 72}{ - 2} \\ x = 36[/tex]
hope this helps..
Good luck on your assignment..
Solve for x. The triangles are similar
Answer:
X=4
Step-by-step explanation:
12x-3=45
12x. =45+3
12x. =48
X=4
The value of x is 10, given that the two triangles are similar to each other.
What is the relation between the sides of two similar triangles?The corresponding sides of a pair of similar triangles are in proportion.
This can be shown like this:
If Δ ABC ~ Δ XYZ, that is, triangle ABC is similar to triangle XYZ, we can write that,
AB/XY = BC/YZ = CA/ZX.
How to solve the question?In the question, we are asked to find the value of x, given that triangle SER is similar to triangle GEF.
∴ Δ SER ~ Δ GEF.
By properties of similar triangles, we can write that:
SE/GE = ΔER/EF = RS/FG,
or, 45/(12x - 3) = 55/143 = RS/FG.
We can use the first two parts of the relation, to form an equation in x, and solve for it.
∴ 45/(12x - 3) = 55/143
or, 12x - 3 = (45 * 143)/55 = 117
or, 12x = 117 + 3 = 120
or, x = 120/12 = 10.
∴ The value of x is 10, given that the two triangles are similar to each other.
Learn more about similar triangles at
https://brainly.com/question/14285697
#SPJ2
What do I do next help
Answer:
20
Step-by-step explanation:
y = 35x + c
Put x as 1, and y as 55.
55 = 35(1) + c
55 - 35 = c
20 = c
PLZ HELP I NEED BIG BRAINERZ HERE Evaluate the expression below and write the answer in standard exponent form. What is the power of the answer? 6.07288 × 10^14÷7÷37 × 10^4
Answer:
The solution would be 75911*10^10/462500 or 1.64132 x 10^9
Step-by-step explanation:
Solve the following systems of linear equations graphically: 3x + 2y = 6 and
X = 2y + 4. You may use one of the following strategies: a) table of values,
b) x and y intercepts, or c) y = mx + b. In your response, be sure to specify
which strategy you are using. You do not need to submit a graph.
Vanswer
Answer:
The solution set is where the 2 lines intersect.
Step-by-step explanation:
Answer:
2.5 and -0.75
Step-by-step explanation:
i think i could be wrong x
A train travelled from Dhaka to Darshana. The train took 5 hours and 30 minutes. The train travelled a distance of 327 kilometres. Work out the average speed of the train. Give your answer in kilometres per hour correct to the nearest whole number.
Answer:
59 kph
Step-by-step explanation:
The train goes 327 in 5 and 1/2 hours
So we do 327 / 5.5 = 59.49.....
Then we round down to get:
59 kpm
hey mate answer te question please
Answer:
7 [tex]\frac{37}{55}[/tex]
Step-by-step explanation:
In order to solve an equation like this, you'll need to find a common denominator for your Fraction.
7 [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{11}[/tex]
7 [tex]\frac{22}{55}[/tex] + [tex]\frac{15}{55}[/tex]
7 [tex]\frac{37}{55}[/tex]
A line passes through (2,-1) and (4,5). Which answer is the equation of the line?
Answer:
C.
Step-by-step explanation:
Slope = m = (y2 - y1)/(x2 - x1) = (5-(-1))/(4 - 2) = 6/2 = 3
Slope - point form:
y - y1 = m(x -x1)
y - 5 = 3(x - 4)
y - 5 = 3x - 12
- 3x + y = - 12 + 5
- 3x + y = - 7
Answer:
[tex] - 3x + y = - 7[/tex]Option C is the correct option.
Step-by-step explanation:
A line passes through ( 2 , -1 ) and ( 4 , 5 )
The equation of line:
[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]
Plug the values
[tex] \frac{ y - ( - 1)}{x - 2} = \frac{5 - ( - 1)}{4 - 2} [/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] \frac{y + 1}{x - 2} = \frac{5 + 1}{4 - 2} [/tex]
Add the numbers
[tex] \frac{y + 1}{x - 2} = \frac{6}{4 - 2} [/tex]
Subtract the numbers
[tex] \frac{y + 1}{x - 2} = \frac{6}{2} [/tex]
Reduce the numbers with 2
[tex] \frac{y + 1}{x - 2} = 3[/tex]
Apply cross product property
[tex]3x - 6 = y + 1[/tex]
Move variable to L.H.S and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex]3x - y = 1 + 6[/tex]
Add the numbers
[tex]3x - y = 7[/tex]
[tex] - 3x + y = - 7[/tex]
Hope this helps...
Best regards!
If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta
Answer:
Approximately 3.2362.
Step-by-step explanation:
Recall that definition of cosecant and sine:
[tex]\displaystyle \sin(\theta) = \frac{1}{ \csc(\theta) }\text{ and } \csc(\theta)=\frac{1}{\sin(\theta)}[/tex]
Since we are given that sin(θ) ≈ 0.3090, this means that cosecant will be:
[tex]\displaystyle \csc(\theta)\approx \frac{1}{0.3090} = 3.2362[/tex]
Answer:
3.236
Step-by-step explanation:
csc=1/sinФ
csc=1/0.3090= 3.236
Two points A (-2, 9) and B (4, 8) lie on a line l.Find the distance between points A and B.
Answer:
[tex]\sqrt{37}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 2, 9) and (x₂, y₂ ) = B(4, 8)
d = [tex]\sqrt{(4+2)^2+(8-9)^1}[/tex]
= [tex]\sqrt{6^2+(-1)^2}[/tex]
= [tex]\sqrt{36+1}[/tex]
= [tex]\sqrt{37}[/tex] ≈ 6.1 ( to 1 dec. place )
What is the value of x in the equation -x - y = 30, when y = 15?
O 8
80
0 200
Answer:
x = -45.
Step-by-step explanation:
-x - y = 30
-x - 15 = 30
x + 15 = -30
x = -45
To check we are correct...
-(-45) - y = 30
45 - y = 30
-45 + y = -30
y = 15
So, x = -45.
Hope this helps!
Answer:
x = -45
Step-by-step explanation:
-x - y = 30
Let y = 15
-x - 15 = 30
Add 15 to each side
-x-15+15 = 30+15
-x = 45
Multiply each side by -1
x = -45