Answer:
(B)-x-(-x) =0
Step-by-step explanation:
Option A
Our equation is: -x +0+(- x) = 0
Left Hand Side:
-x +0+(- x) = -x-x=-2x
[tex]($Left Hand Side) $-2x\neq 0$ (Right Hand Side)[/tex]
Option B
Our equation is: -x-(-x) =0
Left Hand Side:
-x-(-x) =-x+x=0
[tex]($Left Hand Side) 0 = 0 (Right Hand Side)[/tex]
Therefore, the equation in Option B is true.
Which is the scale factor of the dilation?
Answer:
needs more information!
Step-by-step explanation:
need more information
Starting from rest the motor boat travels around the circular path (radius of curvature= 40 m),at a speed (v= 0.8 t m/s),where (t) is in seconds. The magnitude of the boat's velocity when it has traveled 20 m is
Answer:
The magnitude of the boat's velocity is 5.66 m/s
Step-by-step explanation:
Given;
Radius of curvature of the circular path, r = 40 m
speed of the boat, v = 0.8 t m/s
The magnitude of the boat's velocity when it has traveled 20 m is ?
a = dv / dt,
v = 0.8 t (differentiate with respect to t)
dv / dt = 0.8 = a
thus, a = 0.8 m/s²
If the boat starts from rest, initial velocity, u = 0
Apply kinematic equation, to solve for the boat velocity at 20 m
v² = u² + 2as
v² = 0 + 2 x 0.8 x 20
v² = 0 + 32
v² = 32
v = √32
v = 5.66 m/s
Therefore, the magnitude of the boat's velocity when it has traveled 20 m is 5.66 m/s
Find the 96th term of the arithmetic sequence -16, -28, -40, ...
Answer:
1124.
Step-by-step explanation:
The common difference (d) is -16 - (-28) = 12, ( also -28 - (-40) = 12).
The nth term of an A.S. is a1 + d(n - 1) where a1 = first term, d=common difference.
so the 96th term of the given A.S. is:
-16 + 12(96 - 1)
= -16 + 12*95
= 1124.
-1156Answer:
Step-by-step explanation:
Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution
Answer:
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative
Solve for X
A) 9
B) 16
C) 4
Answer:
B) 16
Step-by-step explanation:
8/x= cos 608/x= 1/2x= 8*2x= 16Answer:
B. 16
Step-by-step explanation:
CAH = Adjacent/Hypotenuse
cos60=8/x
xcos60=8
x= 8/cos60
x=8/0.5
x= 16
which words have vertical symmetry for all of the letters in the word?
Answer:
palindromes
Step-by-step explanation:
palindromes are spelled the same forward and backward, thus have vertical symmetry.
Which is the correct formula to calculate the volume of a sphere?
a.
Four-thirds pi r squared
c.
One-third pi r cubed
b.
Four-thirds pi r cubed
d.
4 pi r cubed
Please select the best answer from the choices provided
A
B
C
D
Not a
Answer:
B
Step-by-step explanation:
Volume of Sphere = 4/3 x 3.14 (pi) x r^2
!! 25 points !! Find x. Do not round your answer.
Answer:
12
Step-by-step explanation:
X=12
Because chords are the same size
Answer:16.6 is the correct answer.
Step-by-step explanation:
10 people have pink cups. then 5 of those 10 people got red cups and threw the pink cups away. how many people have pink cups?⇒⇒
Answer:
5 people have pink cups
Step-by-step explanation:
10-5=5
:D
Answer:
5
Step-by-step explanation:
10-5=5
^--^
On average,ea rectangular garden ha an area of 144 meter square. During a redesign of the garden center, the dimension of the rectangular garden are altered but the area is unchanged .The width is doubed and length is decreased by 12m.
Answer:
New dimensions are; Width = 12m and Length = 12m
Step-by-step explanation:
Let length of rectangle be L
Let width be W
Area of rectangle has a formula;
Area = Length x Width = LW
We are given the area = 144 m²
So,
LW = 144 - - - (eq1)
Now, we are told that width is doubled and length is decreased by 12m but area remains the same.
Thus, we have;
Width as 2W and Length as L - 12.
Area = 2W(L - 12)
So,
2W(L - 12) = 144 - - - (eq2)
Equating eq 1 and 2,we have;
LW = 2W(L - 12)
W will cancel out to give;
L = 2(L - 12)
L = 2L - 24
2L - L = 24
L = 24m
From equation 1, LW = 144
Thus; W = 144/L = 144/24
W = 6m
So new design of rectangle now has a dimension of;
Width = 2W = 2 × 6 = 12m
Length = L - 12 = 24 - 12 = 12m
So, new dimensions are; Width = 12m and Length = 12m
In the diagram, m = 128° and m = 76°. What is m∠ABC? A. 104° B. 116° C. 128° D. 102° E. 96°
Answer:
B. 116
Step-by-step explanation:
Answer:
D) 102
Step-by-step explanation:
Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degrees
You answer is D) 102
IWhat is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
5/2
Step-by-step explanation:
You slope is always mx
In point-slope form, your mx is just in factored form. All you need to do is distribute to find m.
Using the graphing method, which of the following choices is the
solution of system: 3y = x-9
y = -x + 1
Answer:
y=x_1 is the solution of system
find a quadratic polynomial whose sum and and product is -7 and -2
Answer:
x²+7x-2 = 0Step-by-step explanation:
The general form of a quadratic equation with roots a and b is expressed as shown;
x²-(sum of root) x + (product of roots) = 0
x² - (a+b)x + ab = 0 ... 1
Given the sum of roots a+b = -7
Product of roots ab = -2
Substituting this values in equation 1 above wil give;
x²-(-7)x+(-2) = 0
x²+7x-2 = 0
The resulting quadratic polynomial is x²+7x-2 = 0
Twice a certain number minus 7 is equal to 5. What is the number.
Answer:
6
Step-by-step explanation:
Let the number be x.
2x - 7 = 5
Add 7 to both sides.
2x = 5 + 7
2x = 12
Divide 2 into both sides.
x = 12/2
x = 6
The number is 6.
Answer:
6
Step-by-step explanation:
2x-7=5
2x=12
x=6
x=the varible that represents the number
Solve log x = 4. x = 4 x = 40 x = 1,000 x = 10,000
Answer:
x = 10000
Step-by-step explanation:
log x = 4
Raise each side to the base of 10
10^log x = 10 ^4
x = 10 ^4
x = 10000
Answer:
x = 10,000
Step-by-step explanation:
I got it right on the test.
The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2. Obi spent £20 that day. Obi now had £8 less than Rudy. How much did they have initially altogether?
Answer:
Initially, they have £28 altogether
Step-by-step explanation:
Obi: Rudy=5:2
this means that Obi had 5x and Rudy has 2x in their wallets.
Obi spent £20 and 5x-20 left. Obi now had £8 less than Rudy
thus,
2x-(5x-20) =8
2x-5x+20=8
-3x=-12
x=4
obi =5x
=5*4
=20
Rudy =2x
=2*4
=8
This means that initially Obi had £20 and Rudy had £8
Total if Rudy and obi
=£8+£20
=£28
Select all angle measures for which sin(∅) = - ( (√2) /2)
a) 3π/4
b) 5π/4
c) 7π/4
d) 9π/4
e) 13π/4
I do not understand the steps to take, thank you for any help
Answer:
b) 5π/4
c) 7π/4
e) 13π/4
Step-by-step explanation:
sin θ = -½√2
There's really no algebra to be done here. There are two ways you can solve. One, you can use a calculator. Two, you can memorize your unit circle.
Either way, it helps to draw the unit circle. sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2. This happens at two places: θ = 5π/4 and 7π/4.
Next, we need to check the options that are greater than 2π.
9π/4 is the same as π/4.
13π/4 is the same as 5π/4.
So the three correct answers are 5π/4, 7π/4, and 13π/4.
Answer:
B
C
D
Step-by-step explanation:
What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5
Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
[tex]3x - 5 = 4 + 8x[/tex]
where x = " the number "
[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.
Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the length of its radius
Answer:
Half; twice
Step-by-step explanation:
In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".
Thus,
2r = d
r = d/2
For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.
Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius
When you multiply a function by -1 what is the effect on its graph?
Answer:
Step-by-step explanation:
Depends on what you mean by multiplying by - 1. I assume you are not going to multiply the y or f(x) term by - 1.
If that is so, take an example. Suppose you have a graph that is y=x^2
That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.
When you multiply the right hand side by - 1, the graph you get will be y = - x^2.
That opens downward and the focus is on the - y axis.
That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.
Answer:
c
Step-by-step explanation:
ape x
Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would my speed in still water have been?
Answer:
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
Step-by-step explanation:
Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:
[tex]c + v = \frac{d}{h}[/tex]
Where:
[tex]c[/tex] - Current speed, measured in miles per hour.
[tex]v[/tex] - Speed of the person regarding current, measured in miles per hour.
[tex]d[/tex] - Distance travelled downstream, measured in miles.
[tex]h[/tex] - Time spent on travelling, measured in hours.
Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:
[tex]v = \frac{d}{h} - c[/tex]
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
Find the Y-intercept of the line graph. (Please help!)
Answer:
-2
Step-by-step explanation:
The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.
The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.
Answer: -2
Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.
Notice that the graph shown here hits the y-axis at -2.
So the y-intercept of this graph is -2.
Pls answer i will mark as branliest
Answer:
Part A:
x = 80 degrees
Part B:
A => Corresponding Angles (They correspond to each other)
Hope This Helps!
Don't hesitate asking anything regarding this!
The expression below is a sum of cubes.
64x3 + 125
O A. True
O B. False
Answer:
true it's A....
Answer:
A
Step-by-step explanation:
64x³ + 125
∛(64x³ + 125)
= 4x + 5
The expression is a sum of cubes.
The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be? Let x represent the number of products sold. The break-even point occurs when the cost function equals the revenue function. 550 + 3.00x = 5.50x Naturally Made needs to sell products to break even. The cost or revenue when it sells the break-even number of products will be $
Answer:
220 products need to be sold to break it even.
Step-by-step explanation:
550 + 3.00x = 5.50x
550 = 2.50x
220 = x
The following scatter plot demonstrates the relationship between to two variables x and y. The scatter plot shows what. correlation between the variables
Answer:
Positive correlation
Step-by-step explanation:
From the scatter plot shown in the graph above, we can observe that the data points that are clustered in a band run upwards from left of the graph to the right.
In simple terms, both variables move along the same direction, which means, as variable on one axis increases, the variable on the other axis increases as well.
This shows that the variables depicted on the scatter plot are positively correlated. It shows a positive correlation between the variables.
The relationship between the variables on the scatter plot it a positive correlation
From the graph, we have the following highlights
As the x-values increase, the y-values also increase The points appear to be on a straight lineWhen the x and the y values increase or decrease in the same direction, then the correlation of the graph is positive.
Hence, the relationship between the variables on the scatter plot it a positive correlation
Read more about correlation at:
brainly.com/question/7289927
What is the mean of this set: {2, 6, 7, 9, 9, 9)?
6
7
Ο Ο Ο Ο
8
9
Answer:
6.8 nearly 7
Step-by-step explanation:
beacuse mean is sum of all terms in a data/number of terms in the data
Answer: 7
Step-by-step explanation:
To find the mean of a set, you take the sum of the set and divide it by the number of numbers in the set.
[tex]\frac{2+6+7+9+9+9}{6} =\frac{42}{6} =7[/tex]
Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it?
Answer:
[tex](9y^2-4x)\,(9y^2+4x)=81y^4-16x^2[/tex]
and it is the special factor product that leads to a difference of squares
Step-by-step explanation:
The product: [tex](9y^2-4x)\,(9y^2+4x)[/tex]
is a product of the form:
[tex](a-b)\,(a+b) = a^2-b^2[/tex]
which leads as shown to a difference of squares. So they binomials [tex](a-b)[/tex] and [tex](a+b)[/tex] are the factors of the difference of squares [tex]a^2-b^2[/tex].
In our case, the product:
[tex](9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2[/tex]
Answer:
B
Step-by-step explanation:
The distance between points (1, 2) and (x 1 ,y 1 ) is the square root of (x 1 -1)^ 2 +(y 1 -2)^ 2
Answer:
True
Step-by-step explanation:
The distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].
The given points are (1, 2) and [tex](x_{1} , y_{1})[/tex] .
We to find the distance between the given points.
What is the formula to find the distance between points?The formula to find the distance between points is [tex]\sqrt{(x_{1}-x_{2} )^{2}-(y_{1}-y_{2} )^{2} }[/tex].
Now, [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex]
Therefore, the distance between the given points is [tex]\sqrt{(x_{1}-1 )^{2}-(y_{1}-2 )^{2} }[/tex].
To learn more about the distance between the points visit:
https://brainly.com/question/15958176.
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