Answer: Wow! That's a tough one, but x = 5 is the only possibility
Step-by-step explanation:
If anyone can help it would be greatly appreciated!
Answer:
Second answer choice
Step-by-step explanation:
Since -10 is outside t you multiple every number inside the parenthesis by -10
400 meters to 350 meters
The change in distance is 50 meters
Using the parameters given :
Distance 1 = 400Distance 2 = 350To calculate the change in distance:
Distance 1 - Distance 2Change in distance = (400 - 350) = 50
Hence, the change in distance is 50 meters
Complete Question:
400 meters to 350 meters . Calculate the change in distance.
which of these is a complex number?
Answer:
Option A is correct.
Step-by-step explanation:
A complex number is that which has imaginary number i.e i in it.
We know √-1 = i
So, any term containing √-1 can be complex number.
In our question option A is only number having √-1 so, Option A i.e
[tex]\frac{2}{3} + \sqrt{-\frac{7}{3} }[/tex] is complex number.
Option: A is the correct answer.
The one which is a complex number is:
A. [tex]\dfrac{8}{3}+\sqrt{-\dfrac{7}{3}}[/tex]
Step-by-step explanation:We know that the complex number is one which is expressed in the form of :
a+ib
where a and b belongs to the set of real numbers.
and i is known as a imaginary number which is represented by:
[tex]i=\sqrt{-1}[/tex]
A)
[tex]\dfrac{8}{3}+\sqrt{-\dfrac{7}{3}}[/tex]
This could also be written in the form of:
[tex]\dfrac{8}{3}+\sqrt{\dfrac{7}{3}\times -1}\\\\i.e.\\\\=\dfrac{8}{3}+\sqrt{\dfrac{7}{3}}\cdot \sqrt{-1}\\\\i.e.\\\\=\dfrac{8}{3}+i\cdot \sqrt{\dfrac{7}{3}}[/tex]
Hence, the number is in the form of:
a+ib
where
[tex]a=\dfrac{8}{3}[/tex] which is a rational number and hence belong to real number
and
[tex]b=\sqrt{\dfrac{7}{3}}[/tex] which is a irrational number and hence belong to a real number.
which ordered pair is a solution to the equation
y= 4x+15
An ordered pair is a solution to the equation y = 4x + 15 if when its elements are substituted into the equation, both sides of the equation hold equal. For instance, the ordered pair (2,23) is a solution to this equation.
Explanation:The question is asking which ordered pair is a solution to the linear equation y = 4x + 15. An ordered pair consists of values of x and y that make this equation true. Therefore, we plug in the values of the ordered pair into the equation.
For example, if we have the ordered pair (2,23), we substitute the x value (2) and y value (23) into the equation: y = 4x + 15 becomes 23 = 4*2 + 15. By doing the calculation, we find that the left side of the equation equals the right side, therefore, (2,23) is a solution for the equation y= 4x+15.
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The ordered pair (2, 23) is a solution to the equation y = 4x + 15. By substituting x = 2, the corresponding y value is 23, validating the solution in the linear relationship.
To find an ordered pair that is a solution to the equation y = 4x + 15, we can choose values for x and compute the corresponding y value.
Let's try x = 2:
y = 4(2) + 15 = 8 + 15 = 23
So, the ordered pair (2, 23) is a solution to the equation.
In this context, for any chosen x, plugging it into the equation and calculating y will yield a valid solution. The equation represents a linear relationship where y is four times x plus 15. Therefore, any pair of x and y that satisfies this relationship is a solution to the equation. The solution set consists of an infinite number of ordered pairs, each representing a point on the graph of the linear equation.
The probable question may be:
What ordered pair is a solution to the equation
y= 4x+15
The ratio of blue to yellow is 4:5 and there are 15 yellow how many blue is there?
Answer: 12 blue marbles
Step-by-step explanation: Set up a proportion.
4/5 = x/15
Solve for x, the number of blue marbles. Cross multiply. You will get 60 = 5x
Divide by 5 on each side.
x = 12
There are 12 blue marbles.
Using rigid motion, which statement is true about the triangles?
Answer:
(b) ABC = FED
Step-by-step explanation:
The rigid motion concept implies that you move your points relative to another. That also means the naming of the objects (in this case triangles) has to be consistent.
By naming the first triangle ABC, you start by the lower-right corner of the triangle, go up then finish on the left-most point.
So, to name the other triangle in rigid-motion manner, you have to follow the same sequence... so it is F first, then E then D... so FED.
A ruler can measure the length to the nearest 0.1 centimeter. Which of these lengths is the most precise measurement the ruler could make of a wire that measures 13.58cm
Answer:
13.6
Step-by-step explanation:
"A ruler can measure the length to the nearest 0.1 centimeter. Which of these lengths is the most precise measurement the ruler could make of a wire that measures 13.58cm"
Down to the nearest .1 centimeter means round to the nearest .1, so the solution is 13.6cm
A ruler that can measure to the nearest 0.1cm would be able to accurately measure a wire of 13.58cm up to 13.5cm. The remaining 0.08cm cannot be measured accurately by this ruler.
Explanation:In this context, the term 'precision' refers to the smallest measurement that can be reliably marked by an instrument. Given that the ruler can measure to the nearest 0.1 centimetre, the most precise measurement the ruler can make is till decimals of one place. Therefore, for a wire measuring 13.58cm, the ruler will be able to precisely measure till 13.5cm. The wire's length of '0.08cm' beyond '13.5cm' cannot be accurately measured with this ruler as it doesn't have markings to measure in this range.
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PLS HELP I WILL GIVE BRAINLIEST
So, you just have to recognize the line splitting the circle in half, line LJ. So, if JC (arc) is 94, then do 180-94=86. ∠LJC is an inscribed angle, so it's half of 86, which is 43°.
43° is your answer.
Need help on #7 please !!!
Solve by using Pythagoras triangle concept
x^2 + 15^2 = (9+x)^2
x^2 + 225 = 81 + 18x + x^2
x^2 - x^2 + 225 - 81 = 18x
144 = 18x
144/18 = x
x = 8
Answer:
x = 8
Step-by-step explanation:
Since the triangle is right use Pythagoras' theorem
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(x + 9)² = x² + 15² ← expand factor on left side
x² + 18x + 81 = x² + 225 ( subtract x² from both sides )
18x + 81 = 225 ( subtract 81 from both sides )
18x = 144 ( divide both sides by 18 )
x = 8
Combine like terms to create an equal expression 7z+15+2
Answer:
7z + 17
Step-by-step explanation:
15 and 2 are the only alike terms.
Please mark brainliest!
A circle has its center at (1,4) and a radius of 2 units what is the equation of the circle
Answer: x² + y² - 2x - 8y + 13 = 0
Step-by-step explanation:
the equation of the circle is in the form (x - a)² + (y - b)² = r²
where (a,b) is the center of the circle and r is the radius
hence the equation is
(x - 1)² + (y - 4)² = 2²
x²-2x+1+y²-8y+16= 4
x²+ y² -2x- 8y + 17 =4
x² + y² - 2x - 8y = -13
x² + y² - 2x - 8y + 13 = 0
There are eleven people on a softball team and nine different positions. Work through the questions to determine how many ways a coach can choose the players for the positions if Amy does not want to pitch
Answer:
19958400
10
8
1814400
Step-by-step explanation:
* Lets explain how to solve the problem
- Permutation is the act of arranging the members into order
- The number of permutations of n members taken r at a time is
denoted by nPr
- nPr = n!/(n - r)! , where n! means n(n - 1)(n - 2)(n - 3) ......... × 1
* Lets solve the problem
- There are eleven people on a softball team
∴ n = 11
- There are nine different positions
∴ r = 9
∴ The number of ways can be made = 11P9
∵ 11P9 = 11!/(11 - 9)! = 11!/2! = 19958400
* The number of total arrangements of the player is 19958400
- If Amy does not want to play pitcher
∵ They are 11 players
∴ The number of players can be pitch = 11 - 1 = 10
* If Amy does not want to play pitcher, then there are now 10 people
available to pitch
- Assuming the pitcher has already be chosen
∴ There are 10 remaining players
∵ The positions are 9
∴ The remaining positions = 9 - 1 = 8
* There are 8 remaining positions
- Lets find how many ways to arrange the remaining positions
∵ n = 10
∵ r = 8
∴ 10P8 = 10!/(10 - 8)! = 10!/2! = 1814400
* The number of ways to arrange the remaining players is 1814400
Answer:
19958400
10
8
Step-by-step explanation:
Which net represents the solid figure? plzzzzzzzz help MEEEEEEEEEEEEEEEEEE
Net 1
Net 2
Net 3
net 2 is the anwser to the solid figure
The answer is Net 2. I think so.
Coordinate Plane
Drag the item from the item bank to its corresponding match.
Ordered Pair
Quadrant
Coordinate Plane
Coordinates
Origin
X-Axis
X-Intercept
Y-Axis
Y-Intercept
1. This is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.
2. This is a way of expressing a relationship between x and y in set notation.
3. This is one of four sections formed by the intersection of the x-axis and y-axis on a Cartesian coordinate plane.
4. This is the point where the x-axis crosses the y-axis. The coordinate location is the ordered pair (0,0).
5. This is the horizontal axis in a coordinate graph.
6. This is the vertical axis in a coordinate graph.
7. This is the pair of numbers giving the location of a point.
8. This is a point at which a graph intersects the x-axis.
9. This is a point at which a graph intersects the y-axis.
Answer:
1. coordinate plane
2. ordered pair
3. quadrant
4. origin
5. X-axis
6. Y-axis
7. coordinates
8. X-intercept
9. Y-intercept
Step-by-step explanation:
Answer:
1.Coordinate Plane
2.Ordered pair
3.Quadrant
4.Origin
5.X-axis
6.Y-axis
7.Coordinates
8.X-intercept
9.Y-intercept
Step-by-step explanation:
1.Coordinate Plane is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.
2.Ordered pair is a way of expressing a relationship between x and y in set notation.
3.Quadrant is one of four sections formed by the intersection of the x-axis and y-axis on a Cartesian coordinate plane.
4.Origin is the point where the x-axis crosses the y-axis. The coordinate location is the ordered pair (0,0).
5.X-axis is the horizontal axis in a coordinate graph.
6.Y-axis is the vertical axis in a coordinate graph
7.Coordinates is the pair of numbers giving the location of a point.
8.X-intercept is a point at which a graph intersects the x-axis.
9.Y-intercept is a point at which a graph intersects the y-axis.
which number is 13 prime, composite, or nither
13 is prime because there is only 1 factor 1 and 13.
Answer:
prime
Step-by-step explanation:
Which expression could be used to calculate the length, in feet, of the rectangle?
Answer:
Your answer is correct
Answer:
You are correct!
Step-by-step explanation:
Howards's quiz scores are below. What is the quiz average?
77, 71, 82, 79.76, 78, 85, 83
To find the average add all the scores together, then divide that by the number of quizzes.
77 + 71 + 82 + 79 + 76 + 78 + 85 + 83 = 631
8 quizzes
Average = 631 / 8 = 78.875 = 79
Answer:
78.875
Step-by-step explanation:
the average = sum of the scores/ number of scores
average = (77 + 71+ 82+79+ 76+78+85+83)/8
average = 631/8 = 78.875
Emma decided to buy some paint to paint some of the rooms in his house. She found out that one room required 1 1/2 cans of paint. If Emma buys 9 cans of paint, how many rooms can she paint?
6
27/3
13 1/2
5
Answer:
6
Step-by-step explanation:
To solve this, divide 9 by 1 1/2.
To make this easier to divide, convert 1 1/2 into an improper fraction.
1 1/2 = 3/2
Dividing 9 by 3/2 is the same as multiplying 9 by 2/3
Multiply the numerators and denominators
[9 is the same as 9/1]
9 x 2 = 18
1 x 3 = 3
18/3 = 6
So, Emma can paint 6 rooms.
I hope this helps!
Answer:
I believe the answer would be six rooms
Step-by-step explanation: This may seem a little difficult, but really it is quite simple. All you have to do is divide the amount of paint she has (9) by how much it takes to paint one room (1 1/2). The equation would be, (9 / 1 1/2) which equals 6. I hope this helps.
16) through: (1,1), slope = 6
A) y = 5x–5. B) y = -2x - 5
C) y=-6x – 5 D) y = 6x - 5
Please help
the correct answer is D
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here slope m = 6, thus
y = 6x + c ← is the partial equation
To find c substitute (1, 1) into the partial equation
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 6x - 5 → D
Josh bought four books at a bookstore. Here are their prices (in dollars).
19.5
,
16.87
,
4.02
,
2
What is the total amount Josh paid at the bookstore?
Answer:
Step-by-step explanation:19.5+16.87+4.02+2
=42.39$
Baseball player hits a ball on an angle of 54° and a height of 4 1/2 feet if the balls initial velocity after being is 152 ft./s if no one catches the ball when will hit the ground
The answer is:
The ball will hit the ground in 7.69 seconds.
Why?To solve this problem, we need to apply the following projectile motion equation:
[tex]y=vo*sin(\alpha)*t-\frac{1}{2}gt^{2}[/tex]
To calculate when the ball wil hit the ground, in other words the time of flight, we need to make "y" equal to 0, and considerate the initial height, so, we have:
[tex]0=initialheight+vo*sin(\alpha)*t-\frac{1}{2}gt^{2}[/tex]
Then, we are given the following information:
[tex]InitialHeight=4.5feet\\\alpha =54\°\\vo=\frac{152ft}{s}[/tex]
Now, substituting and solving, we have:
[tex]-(\frac{1}{2})*\frac{32.15ft}{s^{2}}*t^{2}+\frac{152ft}{s}*sin(54\°)+4.5ft\\\\-16.07\frac{ft}{s^{2} }*t^{2}+122.97\frac{ft}{s}*t +4.5ft=0[/tex]
We have a quadratic equation, where:
[tex]a=-16.07\\b=122.97\\c=4.5[/tex]
Now, using the quadratic equation to find the values of "t" , we have:
[tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex]
Substituting we have:
[tex]\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.0)*(4.5)} }{2*(-16.07)}\\\\\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.07)*(4.5)} }{2*(-16.07)}=\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}\\\\\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}=\frac{-122.97+-(124.14)}{-32.14}[/tex]
[tex]t_1=\frac{-122.97+124.14}{-32.14}=-0.04\\\\t_2=\frac{-122.97-124.14}{-32.14}=7.69[/tex]
Therefore, since the time cannot be negative, we have to discard "t1", so, the answer is: 7.69 seconds
Hence, the ball will hit the ground in 7.69 seconds.
Have a nice day!
Answer:
7.72 s
Step-by-step explanation:
I got the question wrong when I put 7.69 and saw that this was the correct answer.
what is the measure of an angle that turns through 1/5 of a circle?an angle that turns through 3/5 of a circle?
A circle is a curve sketched out by a point moving in a plane. The measure of the angle is 72°.
And, The measure of the angle is 126°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
Now, Let the angle that turns through 1/5 of the circle be x.
We know that the measure of the center of a circle is 360°, while it is given that the angle turns through 1/5 of the circle.
Therefore, the angle will turn 1/5 of 360°.
⇒ x = 1/5 × 360°
⇒ x = 72°
Thus, the measure of the angle is 72°.
And, For angle that turns through 3/5 of a circle.
The value of angle is,
⇒ x = 3/5 × 360°
⇒ x = 216°
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round 389,935 to the nearest hundred thousand
Answer:
400 thousand or 400,000
Step-by-step explanation:
just round 389 to the nearest hundred ------ 400
Answer:400,000
Step-by-step explanation:
389,935
the hundred thousand place is the 8 it is greater than 5 so you round up to 400,000
Find the distance between the points given. (2, 2) and (5, 5) 3 3√2 7√2
Answer:distance=(3,3)
Step-by-step explanation:
5-2=3
Answer:
The answer is 3 square root 2.
Step-by-step explanation:
Using the distance formula and you will get 4.242...... and then you will get 3 square root 2.
y= -3(x-3)^2+4 identify the axis of symmetry.
Answer:
The equation of the axis of symmetry is x = 3
Step-by-step explanation:
Perform the indicated mult., obtaining:
y = 3(x² - 6x + 9) + 4.
Mult. each term inside parentheses by 3, we get:
y = 3x² - 18x + 27 + 4, or
y + 3x² - 18x + 31
Here the coefficients are a = 3, b = -18 and c = 31.
The axis of symmetry is x = -b / (2a), which here is:
-(-18)
x = ----------- = 18/6 = 3
2(3)
The equation of the axis of symmetry is x = 3
ANSWER
x=3
EXPLANATION
The given function is
[tex]y= -3(x-3)^2+4[/tex]
This function is of the form.
[tex]y= a(x-h)^2+k[/tex]
This is called the vertex form.
The axis of symmetry is given by
[tex]x = h[/tex]
By comparing to
[tex]y= -3(x-3)^2+4[/tex]
a=-3, h=3 and k=4
Hence the axis of symmetry is x=3
A class of 25 students took a spelling test. Two students scored 100 on each test, nine students scored 95 on each test, ten students scored 90 on each test, three students scored 80 on each test and one student scored 70. What is the average score of the spelling test rounded to one decimal place? Enter your answer in the box.
Answer:
I believe the answer is 90.6
Step-by-step explanation:
I added 200+900+240+70+855 and got 2,265. If I divide that by 25 I get 90.6.
Hope this helps!
Answer with Step-by-step explanation:
A class of 25 students took a spelling test.
Number of students Marks obtained
2 100
9 95
10 90
3 80
1 70
Average marks=sum of marks/number of students
Sum of marks=100×2+9×95+10×90+3×80+70×1
=2265
Number of students=25
Average=2265/25
=90.6
Hence, average score of the spelling test rounded to one decimal place is:
90.6
Latesha needs to simplify a polynomial expression for homework
16x^2y/ 24xy^3
What should Latesha write on her homework paper as the correct answer
A. 2x/3y^2
B. 2y^2/ 3x
C. 3y^2/ 2x
D. 3x/2y^2
A. 2x/3y^2
HOPE THIS WILL HELP YOU
The correct answer that Latesha should write on her homework paper is 2x/3y2. Hence, the correct option is A.
The polynomial expression that Latesha needs to simplify is 16x^2y / 24xy^3. To simplify this expression, each term in the numerator should be divided by each corresponding term in the denominator that it is divisible by. Her steps should be as follows:
Divide both coefficients (numbers) by their greatest common divisor, which in this case is 8. So, 16 divided by 8 is 2, and 24 divided by 8 is 3.
Look at the powers of x and y and simplify. Subtract the exponents of like bases (16x2y has x2 and 24xy3 has x1, so you subtract 1 from 2 and get x to the power of 1, or just x).
For y, since y is on the top and bottom, subtract the exponents (1 - 3 = -2), which means y squared will be in the denominator.
Putting it all together, you get 2x / 3y2
which corresponds to answer choice A. 2x/3y2.
Therefore, the correct answer that Latesha should write on her homework paper is A. 2x/3y2.
Graph the image of the figure after a dilation with the scale factor of 3 centered at the origin.
Shown below
Step-by-step explanation:Dilation is when you stretch something by the same amount in two perpendicular directions. In other words, dilation changes size, not overall shape. Dilation factors greater than one makes the shape greater while dilation factors less than one makes the shape smaller. To dilate a shape with a certain scale factor centered at the origin, we just need to multiply each point by that scale factor. Since the figure is a rectangle, we just need to take the vertices of this figure, therefore:
A(-2,1)
B(1,1)
C(-2,3)
D(1,3)
So, the new points will be:
A'(-2x3, 1x3) = A'(-6, 3)
B'(1x3, 1x3) = B'(3, 3)
C'(-2x3, 3x3) = C'(-6, 9)
D'(1x3, 3x3) = D'(3, 9)
The new shape is shown below. As you can see, the new rectangle is greater than the original because the scale factor is greater than one.
the ratio of the number of men to the number of women on a bus was 2:3 at a bus stop. 4 women got off and the ratio became 4:5. 1 How many men were on the bus? b. How many women were on the bus in the end?
Answer:
At the beginning
16 men and 24 women
In the end
16 men and 20 women
Step-by-step explanation:
Call x the number of men on the bus and call y the number of women on the bus.
We know that the initial ratio between men and women is 2: 3
And the final ratio is 4: 5
So
[tex]\frac{x}{y}=\frac{2}{3}\\\\y = \frac{3}{2}x[/tex] (1)
After the 4 women are down, the proportion is:
[tex]\frac{x}{y-4}=\frac{4}{5}\\\\y-4 = \frac{5}{4}x\\\\y= \frac{5}{4}x +4[/tex] (2)
Substitute the value of y in the first equation and solve for x
[tex]\frac{5}{4}x +4=\frac{3}{2}x\\\\-\frac{1}{4}x=-4\\\\x=16\ men[/tex]
Now solve for y.
[tex]y = \frac{3}{2}(16)\\\\y=24\ women[/tex]
Then at the end there were
[tex]y = 24-4 = 20[/tex] women
A moving box one meter wide 1/2 meter long and 3/4 meter tall how many cubic meters can the Box hold?
Here is the work and explained sentence :)