Answer:
t < [tex]\frac{38}{17}[/tex]
Step-by-step explanation:
Add '5t' to both sides
12t - 2 +5t < -5t +36 +5t
17t -2 < 36
Add ' 2' to both sides
17t -2 +2 < 36 + 2
17t < 38
Dividing '17' on both sides
[tex]\frac{17t}{17}[/tex] < [tex]\frac{38}{17}[/tex]
Step-by-step explanation:
let's hop to it mattie.
12t–2< –5t+36===> 12t+5t< 36+2====>
17t< 38====> t < 38÷17
Two times the difference of a number and
nine is thirty-six.
Translate into an equation
Twice means muliply by 2
The difference of a number and 7 means subtract a number/variable and 7
Is equal to 9 means =9
2(X - 7) = 9
An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. D. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference.
Answer:
No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference.
Hence the correct option is option A.
SHORT ANSWER
Question 3
This expression has three restrictions. What are they?
(3x^2-3x/x-2)/(2x-10/x-4)
Answer in a complete sentence.
Answer:
The restrictions are x≠2,4,5
Step-by-step explanation:
First the denominators cannot be zero
x-2 ≠0 so x≠2
Then x-4 ≠0 so x≠4
Also, since we are dividing, when we flip the second expression, the numerator becomes the denominator, so it cannot be zero
2x-10≠0
2x≠10
x≠5
The restrictions are x≠2,4,5
If there is an x find the value of it if not explain what needs to be given
Answer:
x value is 7
the answer is 7
The ratio of the length and the breadth of rectangle is 2:1.If the rectangle is 12m long, find the its breadth
Answer:
6m
Step-by-step explanation:
The ratio of the length and the breadth of rectangle=2:1
Let length be 2x, then breadth = x
Now,
Length(l)=12 m
or,2x=12m
or,x=6m
x=breadth=6m
if cos7x-cos8x/1+2cos5x=cos(ax)-cos(bx),where a,b are positive integers, then a²+b²=??
pls help! :(
Step-by-step explanation:
[tex]hope \: its \: helful[/tex]
if cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx), where a, b are positive integers, then a²+b²= 100.
The given equation is:
cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx)
The LHS can be expanded as follows:
cos7x - cos8x/1 + 2cos5x = (2*cos4x*sin3x)/(2*cos2x) = sin3x
The RHS can be expanded as follows:
cos(ax) - cos(bx) = -2sin((a + b)/2)*sin((a - b)/2)
For the given equation to be true, the following must be true:
sin3x = -2sin((a + b)/2)*sin((a - b)/2)
3x = 180(a + b)/2
3x = 180(a - b)/2
Solving for a and b, we get a=6 and b=3.
Therefore, a² + b² = 6² + 3²=100.
To learn more about positive integers, here
https://brainly.com/question/26051073
#SPJ2
PLEASE HELPPP I'LL GIVE OUT BRAINLIEST !!!!!
Does (3, 3) make the equation y = 5x true?
Answer:
y = 5x
In the coordinate (3, 3), the first number is the x value and the second number is the y value.
So, does 3 = 5(3).
The answer is no, so this coordinate does not make the equation true.
Let me know if this helps!
Answer: No, the given point does not make the equation true.
===========================================================
Explanation:
There are three different ways to approach this.
One way is to plug x = 3 into the equation to find that
y = 5x
y = 5*3
y = 15
But that doesn't match up with y = 3 from the point (3,3). So we see that (3,3) is not a solution to y = 5x.
------
Or another method we could do is plug x = 3 and y = 3 to find a contradiction
y = 5x
3 = 5*3
3 = 15
The contradiction being that 3 on the left side doesn't match with 15 on the right side. The false equation at the end means y = 5x is false for (x,y) = (3,3), and therefore this point is not a solution to y = 5x.
------
The third method involves graphing the line y = 5x. You can see that (3,3) is not on the line, which visually confirms the results of the previous two sections. So for a point to be a solution, it must be on the line.
A special blend of wild birds because 16.99 for 20 pounds to the nearest penny how much will 50 pounds cost
Answer:
42.475; approximately (42.48)
Step-by-step explanation:
So, first you would need to divide 16.99 by the 20 pounds and then multiply that by the 50 pounds which should give you your total answer. it should look like this:
16.99 divided by 20= 0.8495
0.8495 times 50= 42.475; approximately (42.48)
Hope this helps you out!!! :)
help me please !! find the domain and range of the function represented by the graph. determine wether the domain is discrete or continuous.
Answer:
Domain is the whole R and the range is R+. The domain is continuous
Solve (x + 3)2 – 5 = 0 using the quadratic formula.
Answer:
Step-by-step explanation:
(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab
x²+9 +6x -5 =0 , combine like terms
x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a
x= (-6 ±√6²-4*1*4)/2*1
x= (-6 ± √36-16) /2
x= (-6±√20)/2
x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify
x= -3 +√5 and x= -3 -√5
Simplify 25/81 ……………
Answer:
25/81 is already in the simplest form. It can be written as 0.308642 in decimal form (rounded to 6 decimal places).
532 - 308 is the same as blank - 300
Answer:
524
Step-by-step explanation:
First find the number we want to find
532 - 308 = 224
Set blank -300 equal to the number
blank - 300 = 224
Add 300 to each side
blank -300+300 = 224+300
blank = 524
6 less than twice a number
Answer:
6-2x
Step-by-step explanation:
six less than (subtraction) twice a number. 2 times a number x
The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?
A. 1994–1995
B. 1997–1998
C. 1998–1999
D. 1999–2000
The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.
Given that
In 1994-1995, the median income is 37,500 and 38,500.In 1997-1998, the median income is 39,700 and 41,000.In 1998-1999, the median income is 41,000 and 42,200.In 1999-2000, the median income is 42,500 and its less.So after analysis, we can conclude that The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.
Learn more about the bar graph here: brainly.com/question/14894834
PLEASE HELP!!
Find an equation in general form for the straight line that passes through the point (-1.4) and is
perpendicular to the line 2x + 3y = 6
9514 1404 393
Answer:
3x -2y +11 = 0
Step-by-step explanation:
The equation of the line perpendicular to ax+by=c through point (h, k) can be written as ...
b(x -h) -a(y -k) = 0
Simplifying this will put it in general form.
__
You have a=2, b=3, (h, k) = (-1, 4), so your equation is ...
3(x +1) -2(y -4) = 0 . . . . fill in the values
3x -2y +11 = 0 . . . . . . . simplify
PLS HELP!!
what is the value of x?
log2(x+7) = 2
Answer: Choice A) -3
Work Shown:
[tex]\log_{2}(x+7) = 2\\\\x+7 = 2^2\\\\x+7 = 4\\\\x = 4-7\\\\x = -3\\\\[/tex]
Which leads us to choice A. In the second step, I used the rule that [tex]\log_b(y) = x[/tex] is equivalent to [tex]y = b^x[/tex]. For each equation, the b is the base. Note how logs undo exponents and vice versa.
Answer:
-3
Step-by-step explanation:
log2(x+7) = 2
Raise each side by base 2
2^log2(x+7) = 2^2
x+7 = 4
Subtract 7 from each side
x+7-7 = 4-7
x=-3
24 cars pass through an intersection each minute while the traffic light is green. In addition, 6 cars pass through the intersection
while the light is yellow. If 84 cars pass through
the intersection during one light cycle (one green light and one yellow light), how long was the green light?
Answer:
3.25 minutes
Step-by-step explanation:
3.25 minutes per green light x 24 = 78
the yellow light is a given, hence 6 cars pass through
78 + 6 = 84 cars
HELP PLSSSSSSSSS i really need it right now
Step-by-step explanation:
A1= 3.5×9=31.5
A2=2×2=4
A3=(1/2) × 5×2=5
A4= (1/2)×2×2=2
At=A1+A2+A3+A4
At= 31.5+4+5+2
At=42.5
Find the height of the triangle by applying formulas for the area of a triangle and your
knowledge about triangles.
A. 5.3yds
B.3.7yds
C.1.9yds
D.2.6yds
Answer:
h=2.142
Step-by-step explanation:
Area of triangle(a)=1/2 b* h
Area of scalene traingle(a)=√s(s-a)(s-b)(s-c)
Semi perimeter(s)=(a+b+c)/2=(6+10+14)/2=15 yd
√s(s-a)(s-b)(s-c)=√15(15-6)(15-10)(15-14)=√15*9*5*1=√225=15 yd
Area of triangle(a)=1/2 b* h
15*2=14*h
30/14=h
h=2.142
You dont have any of those options so it might a mistake.
Please help!!! Much appreciated!!
Answer:
C
Step-by-step explanation:
As n → ∞
[tex]\frac{85}{n}[/tex] , [tex]\frac{75}{2n}[/tex] , [tex]\frac{15}{2n^2}[/tex] → 0
Then
15 - 35 - 0 + 55 + 0 + 0
= - 20 + 55
= 35 → C
Please see picture for question.
Answer:
7
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7 ^ 1/5 ^ 5
7^ (1/5*5)
7^1
7
If i have 30 Apples I Give 12 to My Friend And She Gives 7 to Her Grandma How Much Would I Have?
Find the surface area of the composite figure
Answer:
144 cm²
Step-by-step explanation:
This figure is formed by rectangles and triangles, so we need to find the surface area of they and add all to have the surface area of the figure:
area of the rectangles:
4×3 = 12, and there are two of these rectangles
6×3 = 18, and there are just one of that
4×6 = 24, and there are two of these
5×3 = 15, and there are two of these
Now the area of a triangle:
6×4/2 = 12, and there are two of these
12×2 + 18 + 24×2 + 15×2 + 12×2 = 144 cm²
Will Mark Brainlest Helppp please
Answer:
1
Step-by-step explanation:
a pair of coordinates defines a first number x, and as second number y (or the functional result).
so, we need to find the value of x that leads to 2 as functional result.
2 = x² + 1
1 = x²
x = 1
can you guys please help me
Answer:
x^2 - 9
-------------
x^2 - 4
Step-by-step explanation:
x+3 x-3
------ * -----------
x+2 x-2
Notice that the numerator is the difference of squares and the denominator is the difference of squares
(a+b)(a-b) = a^2 - b^2
(x^2 - 3^2)
------------------
x^2 - 2^2
x^2 - 9
-------------
x^2 - 4
Answer:
A...
the parts of theis problem are "special factors" or conjugates
(a+b) (a-b) = a^2 - b^2
you have two of those (x+3)(x-3) = x^2-9
and (x+2)(x-2) = x^2 -4
Step-by-step explanation:
Please help out explanation need it will
Answer:
A=2(wl+hl+hw)
A=2(6ft×7ft+6ft×7ft+6ft×6ft)
A=2(42ft²+42ft²+36ft²)
A=2(120ft²)
A=240ft²
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
option A
Step-by-step explanation:
Note:when there is an open circle, that means Less than or equal to.
if and when there is a Closed, colored Circle, It's Greater than or equal to or less than or equal to
What is the greatest common factor of 30, 45, and 90?
Answer:
15
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 15.
can somebody please help meee??
Answer: d. He multiplied when he was supposed to divide
Step-by-step explanation:
He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)
please help!
-10y= y+ 1
Answer:
y = -1/11
Step-by-step explanation:
-10y= y+ 1
-11y = 1
y = -1/11
[tex]\\ \sf\longmapsto -10y=y+1[/tex]
Take y to left[tex]\\ \sf\longmapsto -10y-y=1[/tex]
[tex]\\ \sf\longmapsto -11y=1[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{1}{-11}[/tex]