Answer:
B: x>4
Step-by-step explanation:
You want to make an inequality first:
36+4x>52
4x + 36 − 36 > 52−36
4x > 16
4x ÷ 4 > 16 ÷ 4
x > 4
A county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 45 miles per hour. A random sample of 25 vehicles has a mean peed o 48 miles per our and a standard deviation of 255 miles. What is the sample statistic?
Answer:
48 miles per hour.
Step-by-step explanation:
The definition of a sample statistic is "any function of observed data, such as the sample mean, sample variance, etc.".
We are given both the sample mean and the sample variance. But samples exist to be compared to the population.
Since we are given the data that "the mean speed of vehicles is greater than 45 miles per hour", we are told what is happening to the mean, not the standard deviation. So, we will use the mean of the sample of 25 vehicles to state the sample statistic: mean speed of 48 miles per hour.
Hope this helps!
Parallel to the line y= -2x + 4 and passes through point A(2, 4)
============================================================
Explanation:
Parallel lines have equal slopes, but different y intercepts. The given line y = -2x+4 has a slope of -2. Any line parallel to this will also have a slope of -2.
So m = -2
The unknown line goes through the point (x,y) = (2,4). Which means x = 2 and y = 4 pair up together.
Plug m = -2, x = 2, y = 4 into y = mx+b and solve for b
y = mx+b
4 = -2(2)+b
4 = -4+b
4+4 = b ... adding 4 to both sides
8 = b
b = 8
Since m = -2 and b = 8, we go from y = mx+b to y = -2x+8
--------------
Side note: the y intercept of the original equation is 4 while the y intercept of the new equation is 8
Answer:
y=-2x+8
Step-by-step explanation:
y= -2x + 4 and passes through point A(2, 4)
if a line is parallel then the two lines have the same slope
since the line passes through A(2,4) then
y=-2x+b find b
4=-2(2)+b
b=4+4=8
b=8
y=-2x+8
Plzzz help if u do both I’ll give Brainlynest
Answer:
Step-by-step explanation:
Q1; 10 units
The dotted lines separate the figure into 3 shapes - 1 square, 2 triangles.
The area of a square is s^2, where s is the side length.
The side length of the square is 2. 2^2 =4
The area of the square is 4 units.
The area of a triangle is bh/2, where b is the base and h is the height.
The base of the triangle on the left is 2 and the height is also 2. 2(2)/2 =2
The area of the left triangle is 2 units.
The triangle on the right has a base of 2 and a height of 4. 4(2) =8 /2 = 4
The area of the right triangle is 4 units.
The area of the composite figure is the area of the 2 triangles and the square added together; 4+2+4 =10
The area of the figure is 10 units.
Q2: The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
The area of a circle is π[tex]r^2[/tex]. The radius of this circle is 4cm.
Therefore, the area of the circle is 16π[tex]cm^2[/tex].
The formula for area of a rectangle is length times width. The length of this rectangle is 3 and the width is 2.
Therefore, the area of the rectangle is 6 cm^2
We're looking for the area of the shaded region (area of circle- rectangle), so we subtract the area of the rectangle from the area of the circle.
16π simplifies to 50.2654825 cm^2.
50.2654825-6 = 44.2654825 cm^2
The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
The perimeter of a triangle is 7 a − 11 b . If two of its sides are 2 a + b and a − 9 b , what is the third side?
Answer:
To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.
7a - 11b - (2a + b + a - 9b)
= 7a - 11b - (3a - 8b)
= 7a - 3a - 11b + 8b
= 4a - 3b
additional expenses made after purchasing an article added to its actual cost are called————
Answer:
by definition : Additional expenses made after buying an article are included in the cost price and are known as overhead expenses.
Step-by-step explanation:
Evaluate: [tex]3-2^2+4*3+5[/tex]
Answer:
16
Step-by-step explanation:
Apply PEMDAS:
Solve the exponent, multiply from left to right, and then subtract and add from left to right.
[tex]3-2^2+4*3+5\\\\3-4+4*3+5\\\\3-4+12+5\\\\-1+12+5\\\\11+5\\\\\boxed{16}[/tex]
Answer: 16
Step-by-step explanation:
The important thing to remember here is the Order of Operations
The Order of Operations states that first solve Parentheses, then Exponents, then Multiplication and Division, then Addition and Subtraction.
There are no parentheses.
Exponents: 3 - 4+4*3+5
Multiplication and Division: 3 - 4 + 12 + 5
Addition and Subtraction:
-1+12+5
11+5
16
Hope it helps <3
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]t = 2.86 \: s[/tex]
The ball remains in the air for 2.86 seconds.
Step-by-step explanation:
A baseball is hit into the air, and its height above the ground is described by the function
[tex]H(t) = -16t^2 + 45t + 2[/tex]
Where H(t) represents the height of the ball t seconds after it is hit.
The ball remains in the air before it hits the ground.
When the ball hits the ground,
[tex]H(t) = 0[/tex]
So,
[tex]0 = -16t^2 + 45t + 2[/tex]
The equation may be solved using the quadratic formula.
[tex]$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Where
[tex]a = -16 \\\\b = 45 \\\\c = 2 \\\\[/tex]
So,
[tex]t=\frac{-(45)\pm\sqrt{(45)^2-4(-16)(2)}}{2(-16)} \\\\t=\frac{-45\pm\sqrt{(2025 - (-128)}}{-32} \\\\t=\frac{-45\pm\sqrt{(2153}}{-32} \\\\t=\frac{-45\pm 46.4004}{-32} \\\\t=\frac{-45 + 46.4004}{-32} \: and \: t=\frac{-45 - 46.4004}{-32}\\\\t= -0.04 \: and \: t = 2.86 \\\\[/tex]
Since the time cannot be negative, discard the negative value and accept the positive value
[tex]t = 2.86 \: s[/tex]
Therefore, the ball remains in the air for 2.86 seconds.
Graphically represent the increase in emission of greenhouse gasses in India over a period of 5 years.
Answer:
Check it below
Step-by-step explanation:
According to GHG platform India, in the period between [2011-2015] there was a growth of emissions in tons of Carbon Dioxide. As it follows below.
The Energy sector is the segment that contributes the most with this, followed by the Agricultural and the Industries and the Waste.
a drawer contains 30 pens of various colors: 4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 white A pen having blue or red is taken out of the drawer
Answer:
Probability of blue or red = 3/10
Step-by-step explanation:
4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 .
Total = 30
Probability of having a blue = 6/30
Probability of having a blue= 1/5
Probability of a red = 3/30
Probability of a red= 1/10
Probability of a blue or a red=
Probability of blue + probability of red
= 6/30 + 3/30
= 9/30
= 3/10
Seven lamps labeled A through G are arranged in a row. Each lamp has its own switch. Now lamps A, C, E, and G are on and other lamps are off. Ben starts to flip each switch from A to G the following way: if the lamp is on, he turns it off; if the lamp is off, he turns it on. He repeats the pattern until he flips the switches 2011 times. Which lamps are on finally? dont bully me im in 5th grade also this is due in 4 days
Answer:
O=on
X=off
OXXOXOX after 2011 flips.
Step-by-step explanation:
There are many ways to get the answer.
A. Actually flip them 2011 times.
One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.
Now flip the cards in order A to G 2011 times and find the answer.
Since you have four days to find the answer, you only have to flip about 500 times a day.
B. Simplify procedure A above.
Do the same as above, actually flip the cards, but only 14 times.
You will find that the cards are restored to the original position after 14 flips.
If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.
We know we don't have to make 143 sets of 14 flips. We only need to make 9!
Then again, we know that after 7 flips, the lights will be all opposite.
If O=on, and X=off then the situations are
OXOXOXO initial
XOXOXOX after 7 flips
OXXOXOX after 9 flips, which is also after 2011 flips, and that is the final answer.
Can someone help me out with these math questions?
You can pick one to answer or chose to answer both!
I’d appreciate the help thank you!
what is 1+1, is the answer a letter and why
Answer:
2
Step-by-step explanation:
Lets say John had 1 apple and Sarah gave him 1 more apple. John would now have 2 apples.
Hope this helps :)
Answer:
B
Step-by-step explanation:
1=a 2=b
The question is in the picture attached
Answer:
≈ 10.7 ft
Step-by-step explanation:
We have 2 secants to a circle from an external point.
The product of the measure of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.
let the internal part of the right secant be x , then
6(6 + x) = 4(4 + 12) = 4 × 16 = 64 ( divide both sides by 6 )
6 + x ≈ 10.7 ( subtract 6 from both sides )
x ≈ 4.7
length of pass = 6 + 4.7 = 10.7
Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x - 2)
Answer:
[tex]a. \: {x}^{2} + 2[/tex] [tex]b. \: 2 {x}^{2} - 5x[/tex] [tex]c. \: 6 {x}^{2} + 8x[/tex] [tex]d. \: 6 {x}^{2} - 12x[/tex]solution,
[tex]a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x[/tex]
[tex]b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x[/tex]
[tex]c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x[/tex]
[tex]d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x[/tex]
Hope this helps...
Good luck on your assignment..
Determine the intercepts of the line.
which best describes how the graph of g(x) = radical 25/9x
relates to the graph of the parent function, f(x)= radical x?
Answer:
Step-by-step explanation:
g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).
The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).
Answer: g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).
The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).
Step-by-step explanation:
Solve this equation with a variable term on both sides. 5.1y = –0.3y – 21.6 What is the solution? y =
Answer:
y = -4
Step-by-step explanation:
5.1y = –0.3y – 21.6
5.1y + 0.3y = -21.6
5.4y = -21.6
y = -4
Answer:
y= -4
Step-by-step explanation:
Solve this equation with a variable term on both sides.
5.1y = –0.3y – 21.6
What is the solution?
y = -4
What else would need to be congruent to show that triangle ABC cong Triangle XYX by ASA?
Explanation:
AC = XZ shows that the horizontal pieces are congruent. This is the "S" of "ASA" as it stands for the pair of congruent sides. We are also given angle A = angle X. This is one of the "A"s in "ASA" as it stands for pair of congruent angles.
What we're missing is the other pair of angles. We must pick C and Z because they help sandwich the two sides mentioned above. ASA has the two angles surrounding the sides; or the sides are between the angles. We can't pick B and Y, unless we were doing AAS which is a similar related idea. The order matters when it comes to ASA and AAS. However, AAS is the same as SAA.
Answer:
AC=XZ
so the correct answer is D
Find the roots of the quadratic equation 2x^2-x-4 =0
Answer:
I hope it will help you...
Identify an equation in standard form for an ellipse with its center at the origin, a vertex at (0, 11), and a co-vertex at (4, 0). HELP ASAP
Answer:
Step-by-step explanation:
If you plot those points on a coordinate plane, you'll see that the distance from the origin up the y-axis to the point is greater than is the distance from the origin down the x-axis to the other point. That means 3 things to us: 1. the greater distance is a and the shorter is b; 2. the point (0, 11) is the vertex while the point (4, 0) is the co-vertex; and 3. this is a vertically stretched ellipse. A vertically stretched ellipse has an equation
[tex]\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1[/tex] where h and k are the coordinates of the center, a is the greater distance (between the center and the vertex), and b is the smaller distance (between the center and the co-vertex). Here's what we have then thus far:
h = 0
k = 0
a = 11
b = 4
Filling in our equation then looks like this:
[tex]\frac{(x-0)^2}{4^2} +\frac{(y-0)^2}{11^2} =1[/tex] and simplifying:
[tex]\frac{x^2}{16} +\frac{y^2}{121} =1[/tex]. It appears that the last answer is the one you want, although when I teach this to my precalc students, I do not encourage them to move the x and y terms around as that answer appears to have done. But addition is also commutative so I'm sure it's acceptable (I just think it looks strange that way).
The equation of ellipse is [tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex] option D is correct.
Important information:
The center of the ellipse is the origin.Vertex at (0,11).Co-vertex at (4,0)Ellipse:The standard form of an ellipse is:
[tex]\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1[/tex]
Where, [tex](0,a)[/tex] is vertex and [tex](0,b)[/tex] is vertex.
Substitute [tex]a=11,b=4[/tex] in the above equation.
[tex]\dfrac{x^2}{(4)^2}+\dfrac{y^2}{(11)^2}=1[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{121}=1[/tex]
[tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex]
Therefore, the correct option is D.
Find out more about 'Ellipse' here:
https://brainly.com/question/1548816
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
How many magazines are there?
12 magazine.
Step by step explanation:
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
Story: c
Magazine: r
C / R
C = 4K
R = 3k
4K + 3k = 28
7k = 28
K = 7/28
K = 4
Substituting:
C = 4X4 = 16
R = 3x4 = 12
Ratio of stories to magazines: 4:3
There are 28 stories, so that would mean we would have to divide 28 by 4 to get the common rate.
28/4 = 7
So, now we can substitute it to solve the amount of magazines.
4 x 7 = 28
3 x 7 = 21
Thus, there are 21 magazine and the non-simplified ration of stories to magazines is 28:21.
Find the least common multiple of x2 + 4x + 3 and x2 + 7x + 12.
Answer:
( x+1) (x+3) (x+4)
if anybody can answer atleast 1 of the 2 questions that would be great! Thank you:) *Grade 9 work*
Answer:
perimeter=[tex]2(l+b)[/tex]
2(3b+5+2b-1)=
2(5b+4)=0
5b+4=o
b=-4/5
but be can't be -ve
therefore,b=4/5 or 0.8
Answer:
6) The perimeter of the triangle is 3(3x - 1)
7) The perimeter of the rectangle is 2(5b + 4)
Step-by-step explanation:
The perimeter of a triangle and a rectangle is found by adding up all the sides.
6) Perimeter of triangle = 3x - 3 + 4x - 1 + 2x + 1 = 3x + 4x + 2x - 3 - 1 + 1 = 9x - 3 = 3(3x - 1)
7) Perimeter of rectangle = 2(L + B) = 2(3b +5 + 2b - 1) = 2(5b + 4)
Question 13 PLEASE HELP Find the x-intercept of -x +2y =6. X-intercept: (___,0)
Answer:
(-6,0)
Step-by-step explanation:
The x intercept is when y = 0.
So, -x +2(0) = 6
-x = 6
x = -6
Which is the equation of a line that passes through the point (3, 2) and is parallel to the line in the graph?
Answer:
y = 3x/2 − 5/2
Step-by-step explanation:
in a box of chocolates, 1/5 of the chocolates contains nuts. the rest do not.
write down the ratio of the number of chocolates that contains nuts to the number of chocolates that do not contain nuts .
give you answer in the form 1: n
Answer:
the ratio would be 1:4
Step-by-step explanation:
ratio of those who has nuts:
1/5
ratio of those who dont:
1-1/5=4/5
one against another:
1/5 : 4/5 = 1:4 = with : without
Complete the solution of the equation. Find th
value of y when x equals -4.
- 8x + y = 37
Enter the correct answer.
Answer:
64
Step-by-step explanation:
A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square. c^2 = 81. What is the side length of the square in centimeters?
Answer:
9 cm
Step-by-step explanation:
c^2=81
Take the square root of both sides.
The square root of c^2 is c.
The square root of 81 is 9.
c=9
Answer:
C = 9 centimeters
Step-by-step explanation:
First, look at the area of a square, which formula is c^2 or in standard format - s^2. Thus, we can say, c^2 = 81. Then, we can simplify, and put c = √81. Since 81 is a perfect square, 9 * 9 = 81. Thus the answer is 9 centimeters.
Which inequality is represented by the graph below?
Answer:
y ≤ -1/5x +1
Step-by-step explanation:
The line had an incline of -1/5 and the intersect with the y-axis is 1, so the line is given by
y = -1/5x +1
The indicated area in graph is below the line, so now you have enough to get the right inequality:
y ≤ -1/5x +1
solve this question with calculation please:
Answer:
x=80
Step-by-step explanation:
the figure depicts a pentagon.
we can use linear pair method to find x
we should find interior angles
angle E= 180-90= 90
angle D=180-60= 120
angle C=180-x
angle A= 90 given
angle B= 180-40= 140
angle sum of a pentagon = 540
by formula (n-2)180. n is the number of sides
equation= 90+120+180-x+90+140= 540
620-x= 540
620-540=x
80=x