Answer:
x = -3
Step-by-step explanation:
3^x = 1/27
Rewriting
1/27 as 1/3^3 = 3^-3
3^x = 3^-3
Since the bases are the same, the exponents are the same
x = -3
Answer:
Step-by-step explanation:
4/81x
\frac{1}{cos^{2} x}-(3+\sqrt{3} )tanx-3+\sqrt{3} =0
Step-by-step explanation:
pls type the question
properly and I swear I will solve it
Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roots is -4 . 3 The sum of the roots is 3 . The sum of the roots is -9 .
Answer:
Option : The product of the roots is - 4
Step-by-step explanation:
[tex]3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\[/tex]
Therefore the roots are -4 and 1
The product of the roots are -4 x 1 = -4
An advertising company conducted a survey to determine how often people of different ages shopped online. The table shows the data.
Answer:
Teens who use online shopping sometimes = 6
total number of people who use online shopping sometimes = 20
total percentage of teens using online shopping sometimes = 6/20*100 => 30%
hope it helps
have a nice day
4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
through the point (5,8)?
a y - 4x + 21
b. y - 2x ***
a.y=2x-31
Answer:
y = (-1/2)x + 21/2
Step-by-step explanation:
Given equation:
y - 2x + 7
Coordinates = (5,8)
Find:
Perpendicular equation
Computation:
y = mx + c
y - 2x + 7
y = 2x - 7
So,
m = 2
The negative reciprocal of 2 is -1/2
So,
For,
Coordinates = (5,8)
y = mx + c
8 = (-1/2)(5) + c
8 = -5/2 + c
c = 8 + 5/2
c = 21 /2
So,
y = mx + c
y = (-1/2)x + 21/2
A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspected. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected?
A. H0:p=0.12Ha:p<0.12 A
B. H0:p=0.12Ha:p>0.12 B
C. H0:p=0.06Ha:p<0.06 C
D. H0:pˆ=0.06Ha:pˆ>0.06 D
E. H0:pˆ=0.12Ha:pˆ<0.12 E
Answer: A.
[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]
Step-by-step explanation:
Null hypothesis[tex](H_0)[/tex] : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.
Alternative hypothesis [tex](H_a)[/tex]: A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.
Let p be the proportion of screens that will be rejected.
12 percent of the screens manufactured using a previous process were rejected at the final inspection.
(i.e. p= 0.12)
Objective of the study = whether the new process reduces the population proportion of screens that will be rejected
i.e. p< 0.12
So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:
[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]
Nicole is looking at a map of her neighborhood she notices the mall is 30 miles south of your house and that the grocery stores 40 miles east of her house how far apart are the mall and the grocery store?
Answer:
Distance of grocery stores from mailbox = 50 miles
Step-by-step explanation:
Given:
Distance of grocery stores = 40 miles east
Distance of mailbox = 30 miles south
Find:
Distance of grocery stores from mailbox
Computation:
Hypotenuse² = Perpendicular² + Base²
Distance of grocery stores from mailbox = √30² + 40²
Distance of grocery stores from mailbox = √900 + 1600
Distance of grocery stores from mailbox = √2500
Distance of grocery stores from mailbox = 50 miles
Help me or Shrek's donkey won't get pancakes!
Answer:
A. y=x and y=x+2
Step-by-step explanation:
A.
y=x and y=x+2
The equations both match the slope and intercept of the graphed equations.
Can I have the pancakes instead of the donkey?
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
I really need help :(
Answer:
Value of x = 3√2 unit
Step-by-step explanation:
Given:
Hypotenuse of given triangle = 6 unit
Length of equal side = x units
Find:
Value of x
Computation:
Using pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
Hypotenuse of given triangle² = Perpendicular² + Base²
6² = x² + x²
36 = 2x²
x² = 36/2
x² = 18
x = √18
x = 3√2
Value of x = 3√2 unit
Steffi is painting her house. She has calculated she needs 40 litres of paint in total. She has decided to mix pink paint. She will need 3 litres of white for every litres of red. How many litres of each colour will she need to buy?
Answer:
Red=10 Pink=30
Step-by-step explanation:
you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red
find the area of a circle . diameter =30cm . suction
Area of Circle = pi * r* r
Diameter = 2* r
Radius = 30/2 = 15 cm
pi = 3.14
Area of circle = 3.14 * 15 *15 = 707.14 cm ^2
What is the result if -8ײ +24× divided by -4×
Consider the following system of two equations.
{3x−4y=−24
3x+2y=−6
What are the coordinates(x,y) of the solution to the system of equations?
Enter the coordinates in the space provided.
Help if i dont pass this im finna fail.!!!!!
Step-by-step explanation:
The given equations are:
(i)
3x+2y−4=0...(1)
2x−3y−7=0...(2)
put x=0 in (1),
3(0)+2y−4=0
y=2
put y=0 in (2),
2x−3(0)−7=0
x=
2
7
put x=0 in (2),
2(0)−3y−7=0
y=−
3
7
put y=0 in (1),
3x+2(0)−4=0
x=
3
4
(x=0,y=−
3
7
)
(x=
3
4
,y=0)
(x=0,y=2)
(x=
2
7
,y=0)
(ii)
3x+2y−11=0...(1)
2x−3y+10=0...(2)
put x=0 in (1),
3(0)+2y−11=0
y=
2
11
put y=0 in (2),
2x−3(0)+10=0
x=−5
put x=0 in (2),
2(0)−3y+10=0
y=
3
10
put y=0 in (1),
3x+2(0)−11=0
x=
3
11
(x=
3
11
,y=0)
(x=0,y=
3
10
)
(x=0,y=
2
11
)
(x=−5,y=0)
Help please!! Worth 14 points!
Answer:
6 days
Step-by-step explanation:
Hi there!
Let d be equal to the number of days that pass.
1) Form expressions
We're told that our sister earns $30 a day, but needs to pay $60 at first:
[tex]30d-60[/tex]
We're also told that we earn $20 a day:
[tex]20d[/tex]
2) Form an equation
We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.
For our income and our sister's income to equal each other, the following must be true:
[tex]30d-60=20d[/tex]
Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.
3) Solve for d
[tex]30d-60=20d[/tex]
Subtract 30d from both sides to isolate d on one side
[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]
Divide both sides by -10 to isolate d
[tex]6=d[/tex]
Therefore, for both our income and our sister's income to become equal, 6 days would pass.
I hope this helps!
9: A rectangular room is 14m long and 8m wide. Jessica is going to carpet the room with carpet that costs £17.50 per square metre. Work out the cost of carpeting the room.
Answer:
£1,960
Step-by-step explanation:
Find the area of the room using the formula, A = lw
Plug in the length and width, and solve:
A = lw
A = 14(8)
A = 112
So, the area of the room is 112 square meters. Find the cost of carpeting the room by multiplying this by the price, £17.50
112(17.5)
= 1960
So, the price will be £1,960
the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average length of string b , c, d is 6x cm . find the length of string a is terms of x
Answer:
a= 18x
Step-by-step explanation:
(a+d)/2 = 10x (1)
(b +c)/2 = 8x (2)
(b+c+d)/3 = 6x (3)
From the equation 2, we have (b+c)= 8x *2 = 16x
From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x
From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x
A bus completed a journey of 98 km in 140 minutes. Calculate the average speed, in kilometres per hour, for this journey.
Answer:
hope you like it
Step-by-step explanation:
at first change minutes to hour and calculate by dividing 98 to specific hour
How do i solve this plss helpp
Hope this helps!! :)))))))
pls tell the answer by step by step
The point lies in 2nd quadrant.
Answer:
second quadrant
Step-by-step explanation:
here , -2 is x component and y component is 5
since x component is negative and y component is positive it lies on the second quadrant.
Note: if both x and y component are positive then the point lies on first quadrant.
id x component is negative and y component is positive then the point lies on second quadrant.
if x both x and y component are negative then the point lies on third quadrant.
if x component is positive and y component then the point lies on fourth quadrant.
You roll two 6-sided dice.
What is the probability that you would roll an even number on the first dice and a number greater than 4 on the second?
CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU.
Answer:
what do you need help with?
Step-by-step explanation:
Help i will give brainliest to the best answer.
Answer:
-2
Step-by-step explanation:
1. reduce the numbers by taking out the greatest common factor which is 9.
2. taking out 9 leaves you with [tex]-8[/tex] multipied by 1/4
Answer:
-2
Step-by-step explanation:
[tex](-\frac{8}{9} )[/tex] ÷[tex](\frac{4}{9})[/tex]
changing division sign to multiplication and doing reciprocal
[tex]-\frac{8}{9}*\frac{9}{4}[/tex]
9 and 9 gets cancel so,
[tex]-\frac{8}{4}[/tex]
4 divides 8 exactly by 2 and keep minus sign as it is
-2
Explain why a + 2b = 110 in the triangle shown
Answer:
Step-by-step explanation:
According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. For us, in our triangle:
a + 2b + 70 = 180 so
a + 2b = 180 -70 and
a + 2b = 110. That's why.
tion 9 of 10
10 Points
Two sides of a triangle have lengths 4 and 8. Which of the Two sides of the triangle have lengths of 4 and 8. Which of the following can NOT be the length of the third side?
A. 7
B. 4
C. 5
D. 6
Answer:
B. 4
Step-by-step explanation:
the sum of two sides of a triangle should be longer than one other side
Need help with this!!!!
Answer:
Cuatro es la respuesta también conocida como d
Answer:
Step-by-step explanation:
Can somebody help I’ll give brainless
Answer:
194.51
Step-by-step explanation:
Find 6% of 183.50
183.50 * 6%
183.50 * .06
11.01
Add this to the original price
183.50+11.01
194.51
what is the square root of -1
Answer:
i
Step-by-step explanation:
Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.
Also, a negative number times another negative number, is a positive number. -2 * -2 = 4
With both of those true, then what number could be multiplied by itself to equal a negative number? i.
i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].
Hope that this helps!
Sonya wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 square inches, how much ribbon must she buy to have the exact amount that she needs
Answer:
48 inches
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
144 = s^2
Taking the square root of each side
sqrt(144) = sqrt(s^2)
12 = s
The side length is 12
We want to find the perimeter to determine the amount of ribbon
P =4s
P =4*12
48 inches
Consider the linear function that is represented by the equation Y =-10x+6 and the linear function that is represented
by the equation Y-36 = 8(x-4). Which statement is correct regarding their slopes and y-intercepts?
O The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept.
O The function that is represented by the equation y=-10x+6 has a steeper slope, and the function that is
represented by the equation Y-36 = 8(x-4) has a greater y-intercept.
O The function that is represented by the equation Y-36 = 8(x-4) has a steeper slope, and the function that is
represented by the equation Y = -10x+6 has a greater y-intercept.
O The function that is represented by the equation Y-36 = 8(x-4) has a steeper slope and a greater y-intercept.
9514 1404 393
Answer:
(a) The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept
Step-by-step explanation:
If we take the "steepness" of the slope to be the absolute value of the slope, then the line y=-10x +6 has a slope with a steepness of 10.
The line y -36 - 8(x -4) has a slope with a steepness of 8, so the first line is steeper.
The line y=-10x+6 has a y-intercept of 6. The line y-36 =8(x -4) has a y-intercept of 4, so the first line has a higher y-intercept.
The appropriate description of the two lines is ...
The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept
Solve for x in these two similar triangles
express 0.27272727......... in the form of p/q
Hello,
[tex]0.\overline{27}=\dfrac{27}{99} =\dfrac{9}{33} =\dfrac{3}{11}[/tex]