The value of the expression for the given values is 1294139
Evaluating an expression
From the question, we are to rewrite the expression
(11j⁻³k²) (j³k⁴)
This can be rewritten as
11 × j⁻³ × k² × j³ × k⁴
11 × j⁻³ × j³ × k² × k⁴
11 × j⁻³⁺³ × k²⁺⁴
11 × j⁰× k⁶
= 11 × 1 × k⁶
= 11k⁶
Now we are to evaluate the expression for when j = -8 and k = 7
The expression is
= 11 × k⁶
= 11 × 7⁶
= 1294139
Hence, the value of the expression for the given values is 1294139
Here is the complete question:
Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j⁻³k²) (j³k⁴)
When j = -8 and k = 7
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Answer:
539
Step-by-step explanation:
Evaluate.
4^3 + 8^2 = ??
Answer: 128
Step-by-step explanation:
[tex]4^3 = 4*4*4 = 16*4 = 64[/tex]
[tex]8^2 = 8*8 = 64[/tex]
[tex]64+64 = 128[/tex]
copy machine can make 250 copies in 4 minutes. Represent
rate of change in copies per minute.
Answer:
62.5 copies per minute
Step-by-step explanation:
Note that the word "per" means divide. So, a rate of change in "copies per minute", means a number of copies divided by a number of minutes
If the copy machine can make 250 copies in 4 minutes, then the number of copies is 250 copies, and the number of minutes is 4 minutes:
[tex]\text{rate of change in copies per minute}=\dfrac{\text{number of copies}}{\text{number of minutes}}[/tex]
[tex]\text{rate of change in copies per minute}=\dfrac{\text{250 copies}}{\text{4 minutes}}[/tex]
[tex]\text{rate of change in copies per minute}=62.5\dfrac{\text{copies}}{\text{minute}}[/tex]
Line segment KL is tangent to circle J at point K.
Circle J is shown. Line segment J K is a radius with length r. Line segment K L is a tangent with length 24 and it intersects the circle at point K. A line is drawn from point L to point J and goes through a point on the circle. The length from point L to the point on the circle is 16. The length from the point on the circle to center point J is r.
What is the length of the radius, r?
8 units
10 units
12 units
16 units
Using the tangent theorem, the length of the radius is: B. 10 units.
What is the Tangent Theorem?According to the tangent theorem, since KL is tangent to the circle, therefore, angle JKL = 90°.
Since the triangle is a right triangle, apply the Pythagorean theorem:
(r+16)² = r² + 24²
r² + 32r + 256 = r² + 576
r² - r² + 32r + 256 = 576
32r + 256 = 576
32r = 576 - 256
32r = 320
r = 320/32
r = 10
The radius is: B. 10 units.
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Answer:
B. 10 Units
Step-by-step explanation:
(Giving 45 points, and brainly if correct! Please hurry!)
Point A is on point −6 and Point B is on point 0. Let's use the Ruler Postulate to find the length of AB¯.
AB=|a−b|
AB=|−6−0|
AB=|−6|
AB=6
The length of AB¯¯ is 6. We can also write this as AB=6 or mAB¯¯=6.
Find the Length of CD¯¯
Now, let's find the length of CD¯¯. Point C is on point 4 and Point D is on point 8.
CD=|c−d|
CD=|4−8|
CD=|−4|
CD=4
The length of CD¯¯ is 4. We can also write this as CD=4 or mCD¯¯=4
Your Turn
1. What is the length of BC¯¯?
2. What is the length of AC¯¯?
3. What is the length of AD¯¯?
The length of BC , AC and AD is 4 , 10 , 14.
What is Length ?Length is the distance between two points , It is measured in cm , m , km etc.
It is asked to calculate the length of BC , AC , AD
For BC
Point B is on point 0 and Point C is on point 4.
BC=|b−c|
BC=|0−4|
BC=4
For AC
Point A is on point -6 and Point C is on point 4.
AC=|a−c|
AC=|-6−4|
AC= 10
For AD
For AC
Point A is on point -6 and Point D is on point 8.
AD=|a−c|
AD=|-6−8|
AD= 14
Therefore the length of BC , AC and AD is 4 , 10 , 14.
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Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The length of S B is 10 feet, the length of B T is 9 feet, and the length of C T is 2.7 feet.
What is the length of Line segment S A?
1.89 ft
2.43 ft
3 ft
7 ft
In the triangle ABC, the length of the line segment SA=3 ft ( 3rd option).
In triangle ABC,
SB=10ftBT=9ftCT=2.7ft &ST|| ABAccording to the triangle proportionality theory, we know that if a triangle has a line segment parallel to one of its sides, the line segment splits the other sides correspondingly.
Hence,
SA/SB=CT/BT
⇒SA/10=2.7/9
⇒SA=(2.7*10)/9
⇒SA=3
So, the length of SA is 3 ft.
Therefore the 3rd option is correct.
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The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?
The true statement is the circle has the radius equal to 7.
What is Equation of circle?The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.
As, standard form of equation of circle is
(x-h)² + (y-k)² = r²
At origin, equation of circle will be
(0-h)² + (0-k)² = r²
r² = x² + y²
Now, The line intersects the circle at (0,7)
r² = 0² + 7²
r² =49
r=7.
Hence, the circle has the radius equal to 7.
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Find the value of x that makes the triangle a right triangle.
A
12
B
13
C
15
D
17
[tex]12^2+9^2=x^2\\144+81=x^2\\x^2=225\\x=15[/tex]
Joe kept track of how much TV she watched each day for two weeks how many hours did she spend watching TV
The total hours joe spent watching TV each day for two weeks is 12 1/2 hours
Total hours spent watching TVTotal hours spent watching TV for two weeks = Number of hours × days
= (0 × 1) + (1/4 × 1) + (1/2 × 1) + (3/4 × 3) + (1 × 3) + (1 1/4 × 4) + (1 1/2 × 1)
= 0 + 1/4 + 1/2 + 9/4 + 3 + 5 + 3/2
= 8 + (1+2+9+6) / 4
= 8 + 18/4
= 8 + 4 2/4
= 8 + 4 1/2
= 12 1/2 hours
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What is the equation for the graph shown below?
Answer: D
Explanation:
Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.
Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5
A) results in 2, so eliminate it
B) results in -2, so eliminate it
C) results in 5, so eliminate it
D) results in -5, so keep it
Since D was the only one that worked, that is our correct answer.
A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion’s position in relation to sea level?
Answer:
The sea lion dives 24 feet.
Step-by-step explanation:
A seal (S) dives 15 feet.
A sea lion (SL) dives 6 feet less than 2 times the seal's dive. That can be expressed as:
SL = 2S -6
Since we know S = 15, we can say:
SL = 2*(15) - 6
SL = 24 feet
The sea lion dives 24 feet.
Help please, can someone answer.
Answer:
QA) C = 31.4 cm, A = 78.5 cm^2
QB) 36 cm
Step-by-step explanation:
Question A
Circumference formula: 2πr
2π(5) = 31.4 cm
Area formula: πr^2
π(5)^2 = π(25) = 78.5 cm^2
Question B
If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.
9 - 6 = 3
10 - 6 = 4
The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
5 = c
Now we can combine this number with the rest of the given lengths
10 + 9 + 6 + 6 + 5 = 36 cm
A survey of 100 high school students provided this
frequency table on how students get to school:
Drive to Take the
Grade
Walk
School
bus
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
What is the probability that a randomly selected student
is a junior?
?
P (Junior)
=
Answer:
35/100
Step-by-step explanation:
You have to find how many juniors there are, so if you add 13, 20, and 2 you get 35. For the denominator you have to find the total number of students, so just add all of the numbers together to get 100. So there is a 35/100 chance that a randomly selected student is a junior.
Answer: 7/20
Step-by-step explanation:
Evaluate if: A= -3 , B= -4, and c= 2/3
1. ABC - 15
2. B/C-|A|
(Pic included, must show work asap!)
Answer:
please mark me as brainlest
Please hurry
How could you solve this problem?
2 × 3 × 4
Check all that are true.
Multiply 3 × 4 to get 12 and then multiply 12 × 6.
Multiply 2 × 3 to get 6 and then multiply 6 × 12.
Multiply 3 × 4 to get 12 and then multiply 12 × 2.
Multiply 2 × 3 to get 6 and then multiply 6 × 4.
Multiply 2 × 3 to get 6, multiply 3 × 4 to get 12, and then multiply 6 × 12.
Answer:
multiply 2×3 to get 6and then multiply 6×4 to get 24
Answer:
Multiply 3 × 4 to get 12 and then multiply 12 × 2.
Multiply 2 × 3 to get 6 and then multiply 6 × 4.
Explanation:
Original Answer : 2 × 3 × 4 = 24
1) 12 × 6 = 72
2) 6 × 12 = 72
3) 12 × 2 = 24
4) 6 × 4 = 24
5) 6 × 12 = 72
Hence, only option 3 and 4 is correct.
Which expression is equivalent to \frac{r^9}{r^3}
Answer: [tex]\frac{r^9}{r^3} = r^{9-3} = r^6[/tex]
We subtract the exponents when dividing terms with the same base.
The general rule is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
Hii!
___________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
r^6
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
To simplify this we need to use the division property of exponents:
[tex]\large\boxed{\mathtt{\frac{x^m}{x^n} =x^{m-n}}}[/tex]. So if we divide two numbers with the same base, we subtract their exponents.
Let's apply this rule here.
[tex]\twoheadrightarrow\sf r^9\div r^3[/tex].
[tex]\bullet[/tex] Since these two numbers have the same base, we subtract their exponents
[tex]\twoheadrightarrow\sf r^6[/tex]
[tex]\bullet[/tex] Great job! We found the answer
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
--
The line contains the point (5,0) and is parallel to the line defined by "-3x=4y"
Answer:
Step-by-step explanation:
Can someone please help me with this question?
The correct answer will be option D which is the value of D will be [tex]\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right][/tex]
What is the matrix?A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns.
The value of D will be calculated by multiplying the matrix if we get a unit matrix that will be the answer.
[tex]=\left[\begin{array}{cc}-9&-11&\\5&-6\\\end{array}\right]\times \left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right] \\\\\\=\left[\begin{array}{cc}(-54+55)&(99-99)&\\-(-30+30)&(55-54)\\\end{array}\right]\\\\\\=\left[\begin{array}{cc}1&0&\\0&1\\\end{array}\right][/tex]
Therefore the correct answer will be option D which is the value of D will be [tex]\left[\begin{array}{cc}-6&11&\\-5&9\\\end{array}\right][/tex]
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The table and the graph below each show a different relationship between the same two variables, x and y.
How much more would the value of y be on the graph than its value in the table when x = 12?
Answer:
240
Step-by-step explanation:
Using the straight line formula; y=mx+c, take two points, for example, (4, 80) and (5, 100)
m=change in y/change in x, so;
m=(100-80)/(5-4)= 20
Take point (4, 80)
80=20×4 + c
80-80=c=0
so y=20x
y=20×12=240
PLEASE HURRY
Which of the following can be used to evaluate the series
e d g e
Answer:
1 55
2 455
3554
Step-by-step explanation:
nfn
Help please I only have 10 minutes TT
1. 5:15 = 1/3
scale factor is 1/3going from bigger to smaller
2. 2/8 = 1/4
14 x 1/4 = 3.5
X = 3.5
PLEASE HELP! I WILL MARK BRAINLIEST! Which type of lines is shown in the illustration above?
A. parallel lines
B. perpendicular lines
C. skew lines
D. intersecting lines
Answer:
D. Intersecting lines.
Step-by-step explanation:
The lines are intersecting each other.
The reason it is not perpendicular lines is because perpendicular lines have 90° angles.
Hope this helps!
If not, I am sorry.
Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x < a) = 0.9147, find the value a.
The value of a is 72.74.
What is Probability ?Probability is the study of likeliness of an event to happen.
It is given that
The mean [tex]\rm \mu[/tex] of the distribution is 70
Standard deviation [tex]\rm \sigma[/tex] is 2
p( x<a) = 0.9147
a = ?
From Z table
For p ( p < 0.9147) , z = 1.37
[tex]\rm Z = \dfrac { X - \mu}{ \sigma}[/tex]
[tex]\rm \rm 1.37 = \dfrac { a - 70}{ 2}[/tex]
a = 70+ 2*1.37
a = 72.74
Therefore the value of a is 72.74.
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Rewrite the polynomial in the form ax² + bx+c and then identify the values of a,
b, and c.
x
6
4x² +1
ve questions from this section 18 A bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km/hr. At 8.30 am a car left Busia for Nairobi at an average speed of 120km/hr. Given that the distance between Nairobi and Busia is 400km. ve questions from this section 18 A bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km / hr . At 8.30 am a car left Busia for Nairobi at an average speed of 120km / hr . Given that the distance between Nairobi and Busia is 400km
The time that the bus arrived Busia is given as 1.00 pm
How to solve for the time of arrivalThe formula with which to solve for the time is given as
D/s = distance / by the speed.
Distance = 400km
Speed = 80km/hr
Time = 400/80
= 5 hours
Therefore the time of arrival from 8.00 am would be 1.00pm
Complete questionA bus left Nairobi at 8.00am and traveled towards Busia at an average speed of 80km / hr . At 8.30 am a car left Busia for Nairobi at an average speed of 120km / hr . Given that the distance between Nairobi and Busia is 400km
Calculate The time the car arrived in Busia
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X^2 - 10x - 20 = 0, which number would have to be added to "complete the square"?
Answer:
45
Step-by-step explanation:
When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.
Answer:
25 to both sides
Step-by-step explanation:
Group x² and x terms
(x² - 10x ) - 20
complete the square
(x² - 10x +25 ) -20 -25
(x-5)² -45
show that the radius of B is 2.5cm
Answer:
how?
Please Attach Figure so someone can Solve...
Step-by-step explanation:
If sin(theta) = 4/7, what is cos(theta)? PLEASE HELP!
Step-by-step explanation:
sin(theta)=4/7
cos(theta)=√1-sin²theta
=√1-(4/7)²
=√1-16/49
=√(49-16)/49
= √33/49
=(√33)/7
. Find the perimeter of a triangle with vertices A(–3, 5), B(–3, 2), and C(1, 2)
Answer:
12
Step-by-step explanation:
Input interpretation: triangle | vertex coordinates (-3, 5) | (-3, 2) | (1, 2) | perimeter
Result: 12
Properties of Triangle:
edge lengths | 3 | 4 | 5 area | 6perimeter | 12interior angles | (cos^(-1)(4/5) rad | cos^(-1)(3/5) rad | π/2 rad)≈(0.643501 rad | 0.927295 rad | 1.5708 rad)interior angle sum | 180° = π rad≈3.142 radHenry leads a team of hikers for a full-day hike that takes 8 hours. Every hour, the hikers gain 250 feet in elevation. • The independent variable is ____, ________ in ________. • The dependent variable is _____, increased elevation in feet, or __________. A possible verbal description is “____ equals 250 times ____.” The equation ______ = ___________ corresponds to this relationship.
The missing blanks have been filled.
What is a Function ?A function is a mathematical statement used to relate a dependent and an independent variable.
It is given that
Total time taken to hike is 8 hours
Let the time taken in hours is represented by t
and the elevation is represented by h
Every hour, the hikers gain 250 feet in elevation.
The independent variable is t , time taken to hike , in hours .
The dependent variable is h , increased elevation in feet or elevation the hikers have gained .
A possible verbal description is Elevation at any given time equals 250 times the time taken to hike.
The equation h = 250 t corresponds to the relationship.
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5 m
2m
6 m
2 m
Mrs Phillips is going to cover the floor with floor boards.
One pack of floor boards will cover 2.5 m².
How many packs of floor boards does she need?
You must show your working.
Diagram NOT
accurately drawn
Mrs. Phillips needs to buy 8 packs of floor boards
In contrast to a square, a rectangle is a planar figure having four equal neighboring sides, four straight sides, and four right angles. An enclosed 2-D form called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposing sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.
As per the figure attached Mrs. Phillips floor plan can divided into two rectangles
The area of rectangle is as follow:
Area = length(l) x Width(w)
Area of part 1 will be:
A = 6 x 2 = 12 m²
Area of part 2 will be :
a = 3 x 2 = 6 m²
Total area of floor = A + a
Total area of floor = 12 + 6
Total area of floor = 18 m²
Given one pack of floor boards will cover 2.5 m².
So total pack of floor block needed will be as follow:
Total pack of floor block = Total area of floor/Area covered by one pack of floor boards
Total pack of floor block = 18/2.5
Total pack of floor block = 7.2 packs ≈ 8 packs
Hence Mrs. Phillips needs to buy 8 packs of floor boards
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