Answer:
[tex]\boxed{\sf \ \ \ 15a^5b^{15} \ \ \ }[/tex]
Step-by-step explanation:
hello,
[tex](3a^2b^7) (5a^3b^8)=15a^{2+3}b^{7+8}=15a^5b^{15}[/tex]
hope this helps
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
The correct answer is the first one of your list of options:
"Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points."
Step-by-step explanation:
Since the y-intercept is -6, then the point (0, -6) is a point on the line.That is x = 0 and y = -6. From there you move according to the slope value "2 = 2/1" which means two units of rise when the run is one.
Then, from (0, -6) move up 2 units and then right one unit. The new point should also be a point on the line. Join the two points with a line to graph the function.
A person who yells at an official who made a bad call is just displaying a competitive spirit. Please select the best answer from the choices provided. T F
Answer:
the answer is false
Step-by-step explanation:
FALSE. A person who yells at an official is not showing a competitive spirit.
What is a Competitive Spirit?A competitive spirit shows the following attributes:
Communicates respectShows sportsmanshipValues process among others.A person yelling at an official is not a way of communicating respect. Therefore, it is FALSE to say it is a display of competitive spirit.
Learn more about competitive spirit on:
https://brainly.com/question/1413909
#SPJ2
Simplify: 1. 4x−(1−2x)+(2x−7) 2. (3−0.4a)−(10−0.8a)
Answer:1.8(x -1)
2.0.4a -7
Step-by-step explanation:
An observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at the point (0,negative 4). Express the bearing using both methods.
Answer:
Step-by-step explanation:
I can help
An object is launched directly in the air speed of 16 feet per second from a platform located 5 feet above the ground. The position of the object can be modeled using the function f(x)=-16t^2+16t+5, where t is the time of seconds and f(t) is the height of the object. What is the maximum height in feet that the object will reach?
Answer:
The maximum height that the object will reach is of 9 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]
In this question:
[tex]f(t) = -16t^{2} + 16t + 5[/tex]
So
[tex]a = -16, b = 16[/tex]
The instant of the maximum height is:
[tex]t_{v} = -\frac{16}{2*(-16)} = 0.5[/tex]
The maximum height is:
[tex]f(0.5) = -16*(0.5)^2 + 16*0.5 + 5 = 9[/tex]
The maximum height that the object will reach is of 9 feet.
Answer:
24
Step-by-step explanation:
What is the length of MO, given that figure LMNO is a square?
Answer:
8
Step-by-step explanation:
putting it simple without any terms, half of the line LN is 4, all the other lines inside the rectangle are equal, so just double the length for the length of MO for the answer, 8
The length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.
What is the diagonal of a square?The diagonal of the square is the distance from opposite vertices of it. The length of both the diagonals of the square is equal in length and bisect each other at the intersection point.
In the given image, the length figure LMNO represent a square, The length of the LM is,
[tex]LG=4\rm \; units[/tex]
In the image, point G is the intersection point of the diagonal of the square.
As the diagonals of the square bisect each other at the intersection point. The length of LN is,
[tex]LN=2\times LG\\LN=2\times4\\LN=8[/tex]
The length of both the diagonals of the square is equal in length. Thus,
[tex]MO=LN\\MO=8[/tex]
Hence, the length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.
Learn more about the diagonal of the square here;
https://brainly.com/question/92334
What the answer fast
Answer:
∠CDE
Step-by-step explanation:
Name it by the order of the letters with the point of the angle in the middle
The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ = .000586 mm. Assume a random sample of 59 sheets of metal resulted in an x¯ = .2905 mm. Calculate the 95 percent confidence interval for the true mean metal thickness.
Answer:
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.000586}{\sqrt{59}} = 0.0002[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm
The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
I NEED HELP PLEASE, THANKS! :)
Answer: G ∩ M = {Anael, Max}
G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}
Step-by-step explanation:
intersection ∩ - items found in BOTH sets
union U - the joining of the sets. include EVERYTHING in the sets.
G = (Acel, Acton, Anael, Carl, Dario, Max}
S = {Anael, Barek, Bay, Carlin, Kai, Max}
G ∩ S: Anael and Max are found in both sets
G = (Acel, Acton, Anael, Carl, Dario, Max}
S = {Acton, Anael, Barek, Carlin, Dario, Kai}
G U S: include everything in G and everything in S. If found in both sets, only list it once.
G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}
Notice that Acton and Anael are in both sets but we only list them once.
When a number is added to of itself, the result is 24. The equation that models this problem
What is the value n?
n = 18
n = 20
n=217 4/5
n=237 4/5
Answer:
20
Step-by-step explanation:
n=20 it is that answer
Answer:
20
Step-by-step explanation:
20 is equal to n
Equations and Functions
Answer:
Subtract the 2w to both sides of the equal sign.
Step-by-step explanation:
Since we want the equation to be in terms of l, we need to isolate the term first. To do so, we will need to subtract 2w on both sides to start out.
Help?????????????????????
Answer:
no
Step-by-step explanation:
your answer is correct
we have more than one y for one x.
then it's not a function
Please answer this correctly
The correct answer is 5.5988 x [tex]10^{-3}[/tex] = 0.0055988
Explanation:
In mathematics and related areas, it is common the expression [tex]10^{n}[/tex] (n = a whole number) that multiplies a number, this is known as scientific notation, and it used to express long numbers concisely. This type of notation implies the exponent number or n represents the number of zeros in the number or the number of spaces after/before the decimal period.
Additionally, if the exponent is positive this means the zeros are placed to the right of the number, while a negative exponent shows the zeros are on the left. For example 7 x [tex]10^{3}[/tex] is equal to 7000 because the exponent indicates there are three zeros to the right of 7 or you need to move three spaces the period to the right, which is located right after 7. According to this, the expression 5.5988 x [tex]10^{-3}[/tex] indicates there are 3 zeros to the left of this number or that you need to move three spaces the period and add zeros in these spaces, which is equal to 0.0055988. Therefore, both numbers are equal (=)
Match each correlation coefficient, r, to its description.
r = −0.08
r = −0.83
r = 0.96
r = 0.06
1.) strong negative correlation
2.) weak positive correlation
3.) weak negative correlation
4.) strong positive correlation
The answers are in order
r = −0.08 --> weak negative correlation
r = −0.83 --> strong negative correlation
r = 0.96 --> strong positive correlation
r = 0.06 --> weak positive correlation
The match of each correlation is given by,
r = −0.08 implies a weak negative correlation
r = −0.83 implies a strong negative correlation
r = 0.96 implies strong positive correlation
r = 0.06 implies weak positive correlation.
We have given that,
The correlation coefficient, r, to its description.
A B
r = −0.08 strong negative correlation
r = −0.83 weak positive correlation
r = 0.96 weak negative correlation
r = 0.06 strong positive correlation
We have to match the given relation
What is the positive and negative correlation?If the correlation coefficient is greater than zero, it is a positive relationship. Conversely, if the value is less than zero, it is a negative relationship.
So the correct match is,
r = −0.08 implies a weak negative correlation
r = −0.83 implies strong negative correlation
r = 0.96 implies strong positive correlation.
r = 0.06 is implies weak positive correlation.
To learn more about the correlation visit:
https://brainly.com/question/4219149
Unknown angle problems
Answer: x =40
Step-by-step explanation:
x +x +100 = 180 They form a straight line so they add to 180 degrees.
2x + 100 = 180 solve for x by combining like terms
-100 -100 subtract 100 from both sides
2x = 80 Divide both sides by 2
x =40
Answer:
x might be 40°.
Step-by-step explanation:
angle on a straight line =180°
x+100+x =180
2x =180-100
2x=80
2x/2=80/2
x=40°
Find the length of AC in a triangle
Answer:
9.35
Step-by-step explanation:
AAS formula is easier if you add 12+90 then subtract it from 180, thats angle A.
then just write out the formula
sinA/a = sinB/b
HELP! WILL GIVE BRAINLIEST!
Answer:
(2x+16) + (x) = 180
Step-by-step explanation:
The opposite angles of a quadrilateral inscribed inside a circle will be supplementary angles, meaning that A+C=180, and B+D=180. A+C is not given in the answers below, but B+D is, so that is the correct answer.
Hope this helps! Please give brainliest!!
Answer:
C
Step-by-step explanation:
Opposite angles of a quadrilateral are supplementary
The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method. y = −x2 + 23x − 132, y = 0; about the y−axis
Answer:
V = 23π/6
Step-by-step explanation:
V = 2π ∫ [a to b] (r * h) dx
y = −x² + 23x − 132
y = −(x² − 23x + 132)
y = −(x − 11) (x − 12)
Parabola intersects x-axis (line y = 0) at x = 11 and x = 12 ----> a = 11, b = 12
r = x
h = −x² + 23x − 132
V = 2π ∫ [11 to 12] x (−x² + 23x − 132) dx
V = 23π/6
Three students are working to find the solution set of this system of equations:
3y = 6x + 6
y = 2x + 2
Use the drop-down menus to complete the statements about each of their methods.
Pedro Dropdown 1: Intersect, Do not Intersect, Are the same line.
Pedro Dropdown 2: One, Zero, Infinitely many
Amy Dropdown: is, is not
Matt Dropdown 1: Sometimes, Never, Always
Matt Dropdown 2: One, Zero, Infinitely Many
Answer:
Pedro Dropdown 1: they Do not Intersect, they Are the same line
Step-by-step explanation:
3y = 6x + 6
y = 2x + 2
3y-6x = 6... Equation one
y-2x = 2... Equation two
Dividing equation one by 3 gives
Y -2x = 2. Which is same thing with equation 2
So I think the two are same line and do not intersect.
Answer:
Pedro: are the same line, infinitely many
Amy: is
Matt: always, infinitely many
Step-by-step explanation:
PEDRO: Since the lines are on top of one another, there are infinitely many solutions. These lines are called coinciding lines.
AMY: 3y = 6x + 6 is a multiple of y = 2x + 2. When one equation is a multiple of the other, there are infinitely many solutions to the system.
MATT: When the equation 3y = 6x + 6 is divided by 3, the quotient is equal to the first equation. The equations are equivalent, so they describe the same graphed line.
Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 13 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities.
(a) No samples are mutated.
(b) At most one sample is mutated.
(c) More than half the samples are mutated.
Step-by-step explanation:
this isn't much I think so this isn't plus how come everything in March
a quadrilateral must be a parallelogram if one pair of opposite sides is:
Answer:
A
Step-by-step explanation:
If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.
Option C is the correct answer.
We have,
In a quadrilateral, if one pair of opposite sides are parallel and equal in length, then the quadrilateral must be a parallelogram.
This is one of the properties of parallelograms.
This also means,
One pair of opposite sides is congruent and parallel.
Thus,
If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.
Learn more about parallelograms here:
https://brainly.com/question/1563728
#SPJ4
Which expression represents the phrase 4 times the sum of 9 and 6
A. 4x (9+6)
B.4x 9+6
C.9+ 6x4
D. 9+ (6x4)
Answer:
The answer is option A
4 x ( 9 + 6)
Hope this helps you
PLEASE ANSWER FAST, THANKS! :)
Answer:
Step-by-step explanation:
k = 3 ; 2k + 2 = 2*3 + 2 = 6 + 2 = 8
k = 4; 2k + 2 = 2*4 + 2 = 8 +2 = 10
k =5; 2k + 2 = 2*5 +2 = 10+2 = 12
k=6; 2k +2 = 2*6 + 2 = 12+2 = 14
k = 7 ; 2k + 2 = 2*7 +2 = 14 +2 = 16
k = 8 ; 2k + 2 = 2*8 + 2 = 16 +2 = 18
∑ (2k + 2) = 8 + 10 + 12 + 14 + 16 + 18 = 78
Perform the indicated operation.
Answer:
√75 = 5√3 and √12 = 2√3 so √75 + √12 = 5√3 + 2√3 = 7√3.
Answer:
[tex] 7\sqrt{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{12} \: can \: be \: simplified \: as \: 2 \sqrt{3} \: and \: \sqrt{75} \: canbe \: simplified \: as \: 5 \sqrt{3} \\ after \: simplifying \: we \: can \: add \: them \: up \\ 2 \sqrt{3} + 5 \sqrt{3} = 7 \sqrt{3} [/tex]
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any formulas used.
Answer:
Step-by-step explanation:
The composite shape consists of a semi circle and a triangle. The formula for determining the perimeter of a semicircle is expressed as
Perimeter = 1/2 × 2πr = πr
Since radius, r = 3, then
Perimeter of semi circle = 3 × 3.14 = 9.42 inches
Perimeter of composite shape = 9.42 + 5 + 5 = 19.42 inches
Area of semi circle = 1/2 × πr²
Area of semicircle = 1/2 × 3.14 × 3² = 14.13 inches²
Area of triangle = 1/2 × base × height
Area of triangle = 1/2 × 6 × 4 = 12 inches²
Area of composite shape = 14.13 + 12 = 26.13 inches²
The perimeter and area of the composite shape is:
B. Perimeter = 19.42 inches; Area = 26.13 square inchesRecall:
Area of a circle = πr²
Perimeter of circle = 2πr
Area of triangle = 1/2(bh)
The composite shape given is composed of a triangle and a semicircle.
Perimeter of the composite shape = Perimeter of semicircle + the length of the two sides of the triangle
Perimeter = 1/2(2 × 3.14 × 3) + 2(5) = 19.42 inches
Area of the composite shape = area of semicircle + area of triangle
Area = 1/2(3.14 × 3²) + 1/2(6 × 4)
Are = 14.13 + 12
Area of the composite shape = 26.13 square inches.
Therefore, the perimeter and area of the composite shape is:
B. Perimeter = 19.42 inches; Area = 26.13 square inchesLearn more about area and perimeter of composite shapes on:
https://brainly.com/question/6317134
A company determined that the marginal cost, Upper C prime (x )of producing the xth unit of a product is given by Upper C prime (x )equalsx Superscript 4minus2x. Find the total cost function C, assuming that C(x) is in dollars and that fixed costs are $6000.
Answer:
C(x) = 0.2x^5 - x^2 + 6000
Step-by-step explanation:
Given in the question are restated as follows:
Marginal cos = C'(x) = x^4 - 2x ...................... (1)
Note that marginal cost (C'(x)) refers to the change in the total cost (C(x)) as a result of one more unit increase in the quantity produced. That is, MC refers to the additional cost incurred in order to produce one more unit of a good.
Therefore, TC can be obtained by integrating equation (1) as follows:
C(x) = ∫C'(x) = ∫[x^4 - 2x]dx
C(x) = 1/5x^5 - 2/2x^2 + F ................................ (2)
Where F is the fixed cost. Since the fixed cost is given as $6,000 in the question, we substitute it for F into equation (2) and solve as follows:
C(x) = 0.2x^5 - x^2 + 6000 ......................... (3)
Equation (3) is the total cost function C.
what is the gfc of 16 and 8
Answer:
Greatest common factor of 16 and 8 is 8 .....Draw an array to find 21÷3
Answer:
21÷3 =9
3×9=21
Therefore the answer is 9 .
Step-by-step explanation:
Hope it works out!A ship traveled at an average rate of 25 miles per hour going west. It then traveled at an average rate of 19 miles per hour heading north. If the ship traveled a total of 145 miles in 7 hours, how many miles were traveled heading west?
Answer: 19.5 miles or 108.75 miles
Step-by-step explanation:
Let ship traveled to the west x hours and then to the north y hours. Total 7 hours. So we can write 1st equation
x+y=7 (1)
The ship traveled to the west x hours with speed 25 miles/h - the distance 25*x
The ship traveled to the north y hours with speed 19 miles/hour - the distance 19*y
Note that the angle between north and west directions is 90 degrees.
So if the initial traveling point is A, the final travelling point ic C and the point , where ther the ship has changed the travelling direction from West to North is B.
So we have the right triangle ABC, where B angle is right=90 degrees.
AB side=25*x, BC side= 19*y and AC side 145 miles.
According to Pithagor theorem we can write
AC^2=AB^2+BC^2
21025=625*x^2+ 361*y^2 (2)
Solve the system of equations (1) and (2)
y=7-x
625*x^2+361*(7-x)^2=21025
625*x^2+361*(49-14x+x^2)=21025
625*x^2+17689-5054*x+361*x^2=21025
986*x^2- 5054*x-3336=0 dividing on 2 we'll get
493*x^2-2527*x-1668=0
D=3096433 sqrt(D)=appr 1760
x1=(2527-1760)/493/2= appr 0.78 h
x2=(2527+1760)/493/2=appr 4.35 h
So the problem has 2 solutions :
heading west the ship traveled or 0.78*25= 19.5 miles
Or 4.35*25= 108.75 miles
Answer:
let w = time heading west at 25 mph
the total time is 7 hrs, therefore
(7-w) = time heading north at 19 mph
Distance = speed * time
25w + 19(7-w) = 145
25w + 133 - 19w = 145
25w - 19w = 145 - 133
6w = 12
w = 12/6
w = 2 hrs traveling west
therefore
2 * 25 = mile going west
Confirm this solution, 7 - 2 = 5 hrs going north
19 * 5 = 95mi
25 * 2 = 50mi
--------------
total dist 145 mi
Simplify: 1. (x−1)+(12−7.5x) 2. b−(4−2b)+(3b−1) 3. (2p+1.9)−(7−p)
Answer:
1. -6.5x+11
2. 6b-5
3. 3p-5.1
Step-by-step explanation:
[tex]1. \\(x-1)+(12-7.5x)=\\x-1+12-7.5x=\\x-7.5x-1+12=\\-6.5x-1+12=\\-6.5x+11\\\\2.\\b-(4-2b)+(3b-1)=\\b-4+2b+3b-1=\\b+2b+3b-4-1=\\3b+3b-4-1=\\6b-4-1=\\6b-5\\\\3.\\(2p+1.9)-(7-p)=\\2p+1.9-7+p=\\2p+p+1.9-7=\\3p+1.9-7=\\3p-5.1[/tex]