Answer: - 60
Step-by-step explanation:
[tex]\frac{(-4)^3 - (-4)}{4(4)^-4/4} \\\\= -60[/tex]
rne subtracted 6x3 2x
find the difference.
from -3.x3 +
4x - 7. Use the drop-down menus
to identify the steps Lorne used
(-3x' + 5x7,+ 4x - 7) + (-6x3 + 2x -3)
(-3x°) + 5x2 + 4x + (-7) + (-6x3) + 2x + (-3)
[(-3x*) + (-6x°)] + [4x + 2x] + [(-7) + (-3)] + [5x2)
-9x° + 6x + (-10) + 5x2
-9x' + 5x2 + 6x - 10
Which equation represents a side that is perpendicular to side d? O y = 2x+5 Oy=-2x+5 NG 0 Y=2x-5/2 OY--12-12 = Which equation represents a side that is perpendicular to side d ? O y = 2x + 5 Oy = -2x + 5 NG 0 Y = 2x - 5 / 2 OY -- 12-12 =
The equation represents a side that is perpendicular to side d is y = -2x+5. Option B is correct.
What is the slope?A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The given linear equation in the problem is;
y = 2x+5
Compare the equation with the standard equation;
[tex]\rm y = mx+ c[/tex]
where,
m is the slope and c is the intercept. After comparing, we will get; Hence, the slope and y-intercept will be;
m = 2
The product of the slope of the two-line perpendicular to each will be -1.
m₁×m₂ = -1
The equation represents a side that is perpendicular to side d is;
y = -2x+c.
m₁=2
m₂=-2
m₁×m₂ = -1
The equation represents a side that is perpendicular to side d is y = -2x+5.
Hence, option B is correct.
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The coordinates of triangle LMN are shown. L(-1,4) M(-1, -3) V N (4, -1) What is the length of LM? Enter the answer in the box. unit(s) The coordinates of triangle LMN are shown . L ( -1,4 ) M ( -1 , -3 ) V N ( 4 , -1 ) What is the length of LM ? Enter the answer in the box . unit ( s )
Answer:
7
Explanation:
Use the distance formula to find the answer
Answer:
7 units
Step-by-step explanation:
since the x- coordinates of L and M are equal , both - 1 then the length of LM is the absolute value of the difference of the y- coordinates.
LM = | 4 - (- 3) | = | 4 + 3 | = | 7 | = 7
or
LM = | - 3 - 4 | = | - 7 | = 7
Draw a line representing the “rise” and a line representing the “run” of the line. State the slope of the line in simplest form.
The slope of the line in its simplest form is 3.
The slope of a line is [tex]Slope=\frac{Rise}{Run}[/tex].
We need to find the slope of the line in its simplest form.
What is the slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is often denoted by the letter m; there is no clear answer to the question of why the letter m is used for slope.
Select any two points on the line like A and B.
From the below figure it is clear that
Rise = Change in y = -2-(-5) = 3
Run = Change in x = 9-0 = 9
Now, [tex]\frac{9}{3} =3[/tex]
Therefore, the slope of the line in simplest form is 3.
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Use the drawing tool(s) to form the correct answer on the provided number line.
Consider the given functions.
Function 1
f(x) = -5x + 11 + 10
Function 2
g(x)
-2
Represent the interval where both functions are decreasing on the number line provided.
30
20
10-
-10-
-20-
-30-
2
6
x
[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]
What is the function's decreasing in the interval?Generally, the equation for the function is mathematically given as
f(x) = -5x + 11 + 10
Therefore
When x >= -1, the function decreases because f(x) = -5(x+1)+10.
This means that the function is dropping throughout this range[tex](-1,\infty).[/tex]
b)
A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).
In conclusion, The number line will represent
Using the point where the intervals with decreasing functions overlap
[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]
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Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 31 ft/s. The ball's height h (in feet) after t seconds is given by the following.
A quadratic equation is in the form of ax²+bx+c. The time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The complete question is:
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 31 ft/s. The ball's height h (in feet) after 7 seconds is given by the following, h=2+31t-16t². Find all values of t for which the ball's height is 16 feet. Round your answer(s) to the nearest hundredth.
The time at which the height of the ball is 16 feet can be found by,
h = 2 + 31t - 16t²
16 = 2 + 31t - 16t²
16 - 2 - 31t + 16t² = 0
16t² - 31t + 14 = 0
[tex]t = \dfrac{-(-31)\pm \sqrt{(-31)^2-4(16)(14)}}{2(16)}\\\\[/tex]
t = 0.717 , 1.221
Hence, the time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.
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The polynomial p(x)=1-2x^2-3x^3+4x has what order?
If point C is between points A and B, then ___ + CB = AB.
A. BC
B. CA
C. ABC
D. AB
Answer:
[tex]\fbox {B. CA}[/tex]
Step-by-step explanation:
Picture the line segment :
⇒ A ---------------- C ------------------ B
Then :
⇒ CA + CB = AB
Bonnie and Connie ran a total of 135 miles last week. Bonnie runs at a constant speed of 7 miles per hour, and Connie runs at a constant speed of 5 miles per hour. If Bonnie and Connie ran for a total of 24 hours last week, how many minutes did Bonnie run
Answer: 450 Minutes
Step-by step explanation:
135-x)/5 = hours connie runs
x/7 = hours Bonnie runs
(135-x)/5 + x/7 = 24
135-x + 5x/7 = 120
945-7x+5x = 840
-2x = -105
x = 52.5 miles = distance of Bonnie
52.5 miles / 7 m/hr = 7.5 hours = 450 minutes
13 t-shirts cost total of $156. What is the unit cost per t-shirt?
Step-by-step explanation:
please mark me as brainlest
A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters
The area of the swimming pool on the scale drawing will be 300 sq. centimeters.
What is the scale ratio?A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.
For the given scale drawing 1 centimeter represents 2 meters, therefore, the length of 40 meters in one scale drawing will be equal to,
40 meters = 40/2 centimeters = 20 centimeters
The width of 30 meters one scale drawing will be equal to,
30 meters = 30/2 centimeters = 15 centimeters
Now, the area of the swimming pool on the scale drawing will be,
Area= 20 centimeters × 15 centimeters = 300 sq. centimeters
Hence, the area of the swimming pool on the scale drawing will be 300 sq. centimeters.
The complete question is:
A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters. then what is the area of the swimming pool on the scale drawing?
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In triangle nql, point s is the centroid, ns = (x 10) feet, and sr = (x 3) feet. triangle n q l has centroid s. lines are drawn from each point to the midpoint of the opposite side to form line segments n r, q m, and l p. the length of line segment n s is x 10 and the length of line segment s r is x 3. what is rs? 4 feet 7 feet 10 feet 14 feet
The complete question is
"In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet. Triangle N Q L has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, Q M, and L P. The length of line segment N S is x + 10 and the length of line segment S R is x + 3.
What is RS?
4 feet, 7 feet, 10 feet, 14 feet"
Answer:
The Length of RS would be 7 ft. so the correct option is B.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
Given:
NS = (x + 10) ft
SR = (x + 3) ft
Based on the centroid theorem, the centroid, S will divide the median, line segment NR, into NS and SR,
NS : SR = 2 : 1.
Therefore:
NS = 2(SR)
x + 10 = 2(x + 3)
Solve for x
x + 10 = 2x + 6
x - 2x = -10 + 6
-x = -4
x = 4
SR = (x + 3) ft (SR is same as RS)
substitute the value of x
SR = (4 + 3) ft
SR = RS = 7 ft
Hence, The Length of RS would be 7 ft. so the correct option is B.
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Answer: B, 7 feet
Step-by-step explanation:
Question 7 of 25
If f(x)=6x²,-4 and g(x)=2x+2, find (f- g)(x).
OA. 2x-5x2-2
OB. 6x²-2x-6
OC. 4x²-6
O D. 6x²2-2x-2
Answer:
x2
Step-by-step explanation:
x2
Using two six-sided number cubes, each labeled with the numbers 1 through 6, event A is defined by rolling a sum greater than 8Which of the following shows the sample space of event A?
Answer:{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}
Step-by-step explanation:
Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.
What is a random sample?Random sampling is the method of selecting the subset from the set to make a statical inference.
Utilizing two six-sided number solid shapes, each named with the numbers 1 through 6.
The number of the total events will be given as,
Total events = 6²
Total events = 6 x 6
Total events = 36
The total sample is given below.
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.
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Sam and Joe are working to solve 6 divided 1/4 Sam thinks the answer is 24. Joe thinks the answer is . Explain who is correct. Use a model to help explain your thinking.
Answer:
Sam is correct
Step-by-step explanation:
6 divided by 1/4.
This is asking how many times can 1/4 go into 6? This might be a calculation needed if Sam brought 6 pies to the party of 24 people. How should Sam cut the pies so that each person gets an equal share, and there is none left over. This is a serious issue because Sam only knows how to cut pies into quarters. He always gets confused when having to split a pie into 5, 6, 7, 8 or even 9 equal pieces. Sam decided that if he cuts the pies into quarters, that he'll have exactly 24 pieces of pie, all equal in size, and exactly enough to feed everyone.
Sam says 24 is wrong. I don't see the figure that Sam has in mind, but it apparently is not 24.
When a pie is cut into quarters, it will serve 4 people. If one has 6 pies, and everyone takes only one slice, then there would be 4 x 6 or 24 pieces of pie, exactly what is needed: one for each person.
If f(x)=x^2 then evaluate (2+3i)
Answer:
-5 + 12 i
Step-by-step explanation:
(2 + 3i)^2 = 4 + 6i + 6i + 9i^2
= 4 + 12 i + 9(-1)
= - 5 + 12 i
Lines l1 and l2 are parallel and l3 is a transversal.
Which statement is true?
A
m∠2+m∠4=180°
B
m∠2+m∠3=180°
C
m∠1=m∠4
D
m∠1=90°
Answer:
C. m∠1 = m∠4
Step-by-step explanation:
A. m∠2 + m∠4 = 180°
∠2 and ∠4 are vertically opp. angles which means m∠2 = m∠4.
Hence, it's a false statement.
B. m∠2 + m∠3 = 180°
∠2 and ∠3 are corresponding angles which means m∠2 = m∠3.
It's a false statement.
C. m∠1 = m∠4
∠1 and ∠4 are another pair of corresponding angles which clearly states that m∠1 = m∠4.
Therefore, it's a true statement.
D. m∠1 = 90°
As clearly visible in the diagram;
It's a false statement.
Mary is running a marathon which is a total of 26 miles. She is running at a pace of 7.5 miles per hour and
has already run 8 miles. If she stays at the same pace, how much time in hours does she have left? (Round your answer to the nearest tenth)
===================================================
Explanation:
She has already ran 8 miles, so she has 26-8 = 18 miles left to go.
She runs at a pace of 7.5 mph, which means she has 18/(7.5) = 2.4 hours left to go.
I used the equation distance = rate*time, and solved for time to get time = distance/rate.
--------------------
Another approach:
Here's how you can use algebra.
x = time she has left in hours
7.5x = distance covered in those x hours
7.5x+8 = total distance
7.5x+8 = 26
7.5x = 26-8
7.5x = 18
x = 18/(7.5)
x = 2.4
Please Help!! [ tough geometry question :( ]
Answer: [tex]133^{\circ}[/tex]
Step-by-step explanation:
Opposite angles of a cyclic quadrilateral are supplementary, so:
[tex]4x+5+x+15=180\\\\5x+20=180\\\\5x=160\\\\x=32[/tex]
This means that [tex]m\angle A=4(32)+5=\boxed{133^{\circ}}[/tex]
Which of the following is the graph of the piecewise function h of x is defined as negative x squared plus 2 for x is less than or equal to negative 2, or one half times x for negative 2 is less than x is less than 2, or x squared minus 2 for x greater than or equal to 2.?
The attached graph represents the piecewise function h(x)
Complete questionWhich of the following is the graph of the piecewise function
[tex]h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right[/tex]
How to determine the graph of the function?The function is given as:
[tex]h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right[/tex]
The above means that the piecewise function has 3 domains
2 of which are quadratic functionsThe last one is a linear functionNext, we plot the graph using a graphing tool
See attachment for the graph of the piecewise function h(x)
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hii can someone help me find the area of this square
Answer:6.76 cm2
Step-by-step explanation:
You have multiply 2.6 by 2.6 and then you have to square the cm so it will be 6.76 cm2
Answer: A. 6.76 [tex]cm^2[/tex]
Step-by-step explanation:
Area is just length times width.
The length is 2.6 cm and the width is 2.6 cm, so just multiply the two.
2.6 x 2.6 = 6.76 [tex]cm^2[/tex]
Make sure you don't forget the squared in questions that ask for area.
A hiker in Africa discovers a skull that contains 72% of its original amount of C- 14. A hiker in Africa discovers a skull that contains 72 % of its original amount of C 14 .
If the 72% of its original amount of C-14. Then the number of years will be 3285.
The complete question is attached below.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
A hiker in Africa discovers a skull that contains 72% of its original amount of C- 14.
Then the function is given below.
[tex]\rm N= N_0 \ e^{-kt}[/tex]
Where, N₀ is the initial amount of C - 14, t is the number of the years, k is constant that is 0.0001, and N be the amount of the C - 14 at t years.
[tex]\rm N= N_0 \ e^{-0.0001 \times t}[/tex]
We have N = 0.72N₀, the time will be
[tex]\rm 0.72N_0 = N_0 \ e^{-0.0001 \times t}\\\\\rm 0.72 \ \ \ \ = \ e^{-0.0001 \times t}[/tex]
Take log on both side, then we have
ln 0.72 = -0.001 × t × ln e
-0.33 = -0.001 × t
t = 3285 years
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Solve
A.
A bag has 18 marbles of three different colours.
There are twice as many red marbles as blue
ones.
There are two fewer green marbles than blue ones.
Form an equation to model this situation, and solve
to determine the number of each color marble in
the bag.
B.
The perimeter of a large triangle is 237 cm.
The lengths of the three sides are consecutive
integers, Form an equation to model this situation,
and solve to find the lengths of the three sides.
Answer:
5 blue marbles
10 Red marbles
3 Green marbles
Step-by-step explanation:
5 times 2 = 10
then 5-2 =3
Add 5+10+3
=18 Marbles in total
If a is a negative number, then a
always, always
and b is a negative number, then product ab is ?
Answer:
if a and b are both negative numbers, the product is a positive number
What should be done to both sides to solve the equation?
Solve x-2=10
Answer:
add 2 to each side of the equation
Step-by-step explanation:
x-2=10
To solve for x, we need to add 2 to each side of the equation
x-2+2 = 10+2
x = 12
I’m not sure how to do this if someone could help it would be much appreciated
Answer:
(b) y = 18/x; y = 9/4
Step-by-step explanation:
Different kinds of variation are generally described by the equation ...
y = k·( ) . . . . . . . where k is the constant of proportionality
__
kinds of variationWhat goes in parentheses depends on the kind of variation. Here is a partial list of kinds that may be seen in algebra problems.
direct: xinverse: 1/xas the square: x²as the square root: √xas the inverse of the square: 1/x²jointly as: xzThe value of k can be found by solving the variation equation with given values of the variables.
__
inverse variationThe variables x and y are said to vary inversely, so the appropriate equation is ...
y = k(1/x) = k/x
Using the given values, we can find k:
9 = k/2
9·2 = k = 18
So, the equation is ...
y = k/18
__
for x=8Using the above equation, the value of y for x=8 is ...
y = 18/8 = 9/4
Note: you can also get there by realizing that x=8 is 4 times x=2, so the new value of y will be the old value of y multiplied by the inverse of this factor. 1/4 times the old value of y: (1/4)9 = 9/4.
49. Luke is putting a floor mat on his bathroom floor. The mat is
4 feet wide and 5 feet long. The floor is square with sides that
are 12 feet. The center of the mat is 73 feet from the wall.
X
733 ft
- Floor mat
bes stser pelazar to vilidad
Determine the distance from the edge of the mat, x, to the
opposite wall.
Answer:
54
Step-by-step explanation
(area of mat subtracted from area of room)-center of mat to wall
8.6 + 5.6x - 1.5 = 40.7
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]8.6 + 5.6x - 1.5 = 40.7\\5.6x = 33.6\\x=6[/tex]
Answer:
x = 6Step-by-step explanation:
solve for x
8.6 + 5.6x - 1.5 = 40.7
5.6x = 40.7 - 8.6 + 1.5
5.6x = 33.6
x = 33.6 : 5.6
x = 6
-----------------------------
check
8.6 + 5.6 * 6 - 1.5 = 40.7
40.7 = 40.7
the answer is good
Estimate the roots of f(x)
Answer:
Step-by-step explanation:
does this table represent a function? why or why not x:2,2,3,4,5 y:1,4,4,2,5
Answer:
No, the table does not represent a function.
Step-by-step explanation:
By definition, a function will not have 2 or more results for the same input.
The table shows two values of y for the same x: (2,1) and (2,4). The same input, 2, results in two different values, 1 and 4.
See attached image.
