We can cancel y^-7 up with y^-7 down
Because in the division with power we subtract the power of the same base
So 7^-1/7^-1 = 7^(-1)-(-1) = 7^(-1+1) = the 7^(0) = 1
\(\frac{1}{x^{7^{}}x^{8^{}}}\)Now let us add the powers of x because in multiplication we add the power of same base
x^7 * x^8 = x^(7 + 8) = x^15
The answer is 1/x^(15)
The first answer
Benjamin plotted -1.5 and 1.6 on a number line. Which point is further from zero?
Answer:
1.6 is further to 0
Step-by-step explanation:
-1.5 is 1.5 units away from 0
1.6 is 1.6 units away from 0
There ya go
Answer:
1.6
Step-by-step explanation:
distance is never negative so you make -1.5 to 1.5.
1.6 is farther to 0.
2)
a: b is 2:5 and b: c is 3:8
Work out a:c
Give your answer in its simplest form.
Answer:
a : c = 3 : 20
Step-by-step explanation:
Given ratios:
a : b = 2 : 5b : c = 3 : 8The value of b is 3 and 5.
The lowest common multiple of 3 and 5 is 15.
Multiply each ratio by a factor of 15 so that b is 15.
Multiply ratio a : b by 3:
⇒ a : b = 6 : 15
Multiply ratio b : c by 5:
⇒ b : c = 15 : 40
Therefore:
⇒ a : b : c = 6 : 15 : 40
So a : c is:
⇒ a : c = 6 : 40
Simplest form:
⇒ a : c = 3 : 20
please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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A sphere is inscribed in a cube. Explain the relationship between the surface areas of the two solid figures
Answer:
No one knows. Jk just go look at the other brainly links. the question has already been asked and answered so you can go see them there.
Step-by-step explanation:
:)
What special names are there for this quadrilateral?
Select all that apply.
A quadrilateral has two pairs of opposite sides and four right angles. The opposite sides are parallel and equal in length, but the adjacent sides are not the same length.
A.
rectangle
B.
square
C.
parallelogram
D.
trapezoid
Answer:
A. rectangle------------------------------
A. rectangle
Yes, it has all the mentioned properties.B. square
No, it has four equal sides.C. parallelogram
No, it doesn't have 4 right angles.D. trapezoid
No, it doesn't have 4 right angles, only one pair of parallel sides of different length.I have no clue how to do this
First, you need to note that the fertilization ratios of all the flowers occurred in the ratio of 3:1. This was a striking simiarity. The slight differences were because of the random nature of fertilization.
How to identify the similaritiesTo identify the similarities, we first need to round the numbers off to the nearest whole number. This means that if the number after the decimal point is higher than 5, we could simply add 1 to the number before it. But if it is lesser, we can leave it the same.
All of the figures when rounded up have a ratio of 3;1. So, this is the similarity.
1. Flower color: 705:224 = 3.15: 1.00 or 3:1
2. Seed color: 6022: 2001 = 3.01: 1.00 or 3:1
3. Seed shape: 5474:1850 = 2.95: 1.00 or 3: 1
4. Pod color: 428:152 = 2.815: 1.00 or 3: 1
5. Pod shape: 882:299 = 2.95: 1.00 or 3: 1
6. Flower position: 651:207 = 3.14: 1.00 or 3: 1
7. Plant height: 787:277 = 2.84: 1.00 or 3:1
The reason why all the ratios were not exactly the same was that they underwent fertilization which is a random phenomenon.
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all of the characters have a ratio of 3:1
Find the slope of line with the given points (6, - 4)(1, 5)
Answer:
-9/5 is the slope
Step-by-step explanation:
5-(-4)=9
1-6=-5
The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.
(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm
Answer:
(B) 18 cm × 8 cmStep-by-step explanation:
Perimeter of a rectangle = 52 cm
2(length + width) = 52 ==> l + w = 26
Let x be the length
width = (x/3) + 2
x + (x/3) + 2 = 26
[(3x + x)/3] + 2 = 26
4x / 3 = 24
4x = 24 (3)
x = 6(3) ==> 18 cm
Width = (18/3) + 2
= 6 + 2 = 8 cm
So, the required dimension is 18 cm x 8 cm.
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Thank You!
Answered by: ms115
Answer:
B. 18 * 8.Step-by-step explanation:
Let the perimeter be:
52 cm.Find the numbers for the perimeter:
For A:
(12 cm + 4 cm) * 2 = 32.That means A is incorrect.
For B:
(18 + 8) * 2 = 52 cm.That means B is correct.
For C:
(15 + 9) * 2 = 48 cm.That means C is incorrect.
Correct choice is B.
Hey can anyone help me understand how to graph this?
Answer:
Step-by-step explanation:
?
What is the vertex of y=−2x2−4x−5
?
Question 1 options:
(−1,−3)
(−2,−3)
(1,−1)
(−1, 3)
Answer:
2x2-4x-5=0..........
gallon = 4 quarts 1 quart = 2 pints 1 pint = 2 cups 1 cup = 8 ounces 5) How many cups are in 3 gallons? A) 24 cups B) 30 cups C) 48 cups D) 96 cups
Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(x) below? 1 AWN O 2. 4 6 8
Answer:b
Step-by-step explanation:
Given any triangle ABC labeled as shown, the law of sines states that:
C
B
b
A
B
C
b
A
O A. The ratio of the sine of an angle to the length of an adjacent side
is the same for all parts of the triangle.
о
B. The ratio of the sine of an angle to the length of the shortest side
is the same for all parts of the triangle.
C. The ratio of the sine of an angle to the length of the opposite side
is the same for all parts of the triangle.
D. The ratio of the sine of an angle to the length of the longest side is
the same for all parts of the triangle.
The right response is C. Sine (A) = Sine (B) = Sine (C) (C) where, trigonometry respectively, a, b, and c are the lengths of the triangle's sides that face angles A, B, and C.
What is trigonometry?Trigonometry is the branch of trigonometry that studies the relationship between trigonometry side lengths and angles. Due to the application of geometry in astronomical studies, the topic initially emerged in the Hellenistic era, about in the third century BC.
Certain trigonometric trigonometry and their potential applications in computations are covered by the branch of mathematics known as precise methods.
The right response is C.
Sine (A) = Sine (B) = Sine (C) (C)
where, respectively, a, b, and c are the lengths of the triangle's sides that face angles A, B, and C.
The rule of sines applies to all angles and sides of a triangle, whereas Option A only considers the ratio of one angle to one neighbouring side.
Option B is erroneous because the rule of sines applies to all triangle sides, however Option B only considers the ratio of one angle to the shortest side.
Option D is erroneous because the rule of sines applies to all triangle sides, however Option D only considers the ratio of one angle to the longest side.
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Which of the following points is a solution to the system of equations x - y = 1 and -x + 3y = - 7?
(-2,2) is a solution.
0 (-2, - 3) is a solution.
(1. - 2) is a solution.
(4.3) is a solution
Answer:
(-2,-3)
Step-by-step explanation:
Put the equations over each other.
\( \binom{x - y = 1}{ - x + 3y = - 7 } \)
Subtract the x values.
\( \binom{ - y = 1}{3y = - 7} \)
Subtract on both sides.
\(2y = - 6\)
Divide on both sides.
\(y = - 3\)
Insert the y value into one of the equations.
\(x - ( - 3) = 1\)
Get rid of the parenthesis.
\(x + 3 = 1\)
Subtract on both sides.
\(x = - 2\)
You could also individually plug in each solution into both equations to see if they are true.
There are 77 students in the student council. The ratio of girls to boys is 7:4. How many girl are there?
Se va a cercar un terreno de forma circular que mide de radio 25cm ¿cuántos metros de alambres de púas se necesitan?
1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.
We have,
To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.
Given:
Radius (r) = 25 cm
The formula for the circumference (C) of a circle is:
C = 2πr
Substituting the given radius into the formula, we have:
C = 2π x 25 cm
Now, we can calculate the circumference in centimeters.
C = 2 x 3.14 x 25 cm
C ≈ 157 cm
Now,
To convert centimeters to meters, we divide the circumference by 100.
C (in meters) = 157 cm / 100
C (in meters) ≈ 1.57 meters
Therefore,
Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.
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The complete question.
A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?
Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
plase help 50 points
What is 450,000,000 written in scientific
notation?
What value of x makes this equation true? 7x=56
Answer:
x=8
Step-by-step explanation:
7x=56
divide both sides by 7
56/7=8
x=8
Answer:
x=8
Step-by-step explanation:
divide both sides of the equation by 7
7x=56
(7x)/7=56/7
x=56/7
x=8
I have an 20 pound bag of food. If it is 2/3 full right now, how much dog food is in the bag?
Answer:
2/3multiply by20 u get 13.3 pounds
What is 5 times the quotient of 3 and 5?
Answer: 3
Step-by-step explanation:
5 X 3/5 = 3
Olivia ran 4 km and Peter ran 5,186 m. How much farther did Peter run?
Answer:
He ran 1,186 m farther
Step-by-step explanation:
4 km => 4000 m
now,
5,186 m - 4,000 m
=> 1,186 m
What is the answer to number 5?
Answer:
Add 6 to the x-axis and 3 to the y-axis.
Step-by-step explanation:
Right and left are x-axis, and up and down are y-axis.
If cos(x)= 2/3 and x is in quadrant I, then find exact values for (without solving for x): sin(2x) cos(2x) and tan(2x)
The exact values for sin(2x), cos(2x) and tan(2x) without solving for x 4√5 /9, -1/9 and -4√5 respectively
How to find the exact values for sin(2x) cos(2x) and tan(2x) without solving for x?Given: cos(x)= 2/3 and x is in quadrant IIn trigonometry, cos(x) = adjacent/hypotenuse = 2/3.
adjacent = 2
hypotenuse = 3
Here, we will find the opposite
opposite =√(3²-2²) = √5
sin(x) = (√5)/3 (opp./hyp.)cos(x) = 2/3
(adj./hyp.)tan(x) = (√5)/2 (opp./adj.)
Using trigonometry identity:
sin(2x) = 2sin(x)cos(x) sin(2x)
= 2× (√5)/3 × 2/3sin(2x)
= 4√5 /9cos(2x) = 2cos²(x) - 1
cos(2x) = 2(2/3)² -1cos(2x) = -1/9
Also, we will find the exact value for tan.
tan(2x) = 2tan(x) / 1-tan²(x)tan(2x) = (2(√5))/2 / 1-((√5)/2)²
tan(2x) = √5 / (-1/4)
tan(2x) = -4√5
Therefore, the exact values are given above.
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Which of the following is the most likely the next step in the series?
Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.
Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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Calculate the mean and standard deviation for the set of data. Round to the nearest tenth if necessary.
17, 14, 26, 18, 11, 20, 22, 17, 29, 16, 12, 15
The mean and standard deviation for the set of data is 35.25 and 5.9.
To find the mean, we add up all the numbers in the set and divide by the total number of numbers:
Mean = (17 + 14 + 26 + 18 + 11 + 20 + 22 + 17 + 29 + 16 + 12 + 15) / 12
Mean = 20
To find the standard deviation, we need to first find the variance.
The variance is the average of the squared differences from the mean:
Variance = [\((17 - 20)^2\) +\((14 - 20)^2\) + \((26 - 20)^2\) + \((18 - 20)^2\) + \((11 - 20)^2\) + \((20 - 20)^2\) + \((22 - 20)^2\) + \((17 - 20)^2\) + \((29 - 20)^2\) + \((16 - 20)^2\) + \((12 - 20)^2\) + \((15 - 20)^2\)] / 12
Variance = 35.25
The standard deviation is the square root of the variance:
Standard deviation = sqrt(35.25)
Standard deviation = 5.9 (rounded to the nearest tenth)
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PLEASE ANSWER BOTH QUESTIONS!
The correct statement regarding the transformation is given as follows:
Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.
The true statements about the dilation are given as follows:
Dilating a line segment can change the length.Dilating a polygon can change the area.What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:
k = 0.5.
The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.
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A rental car company charges $72.37 per day to rent a car and $0.06 for every mile
driven. Colton wants to rent a car, knowing that:
• He plans to drive 275 miles.
• He has at most $450 to spend.
Answer:
5.99 days.
Step-by-step explanation:
If you are asking how many days he can rent the car then this is the correct answer.
So first multiply 275 x .06 to get how much money he will spent on the mileage. Which is $16.50. Then subtract that from $450 which is $433.50 and divided by $72.37.