Step-by-step explanation:
I guess for #9
An exponent to an exponent is multiplication
[tex] {x {}^{ \\ y} }^{z} = {x}^{y \times z} [/tex]
So that first part...
[tex] {2}^{5 {}^{2} } = {2}^{5 \times 2} = {2}^{10} [/tex]
Doing the same for the other parts, you'll get a final of
273 246
[tex] \frac{ {2}^{10 } \times {2}^{21} }{ {2}^{24} } [/tex]
Now solving those
[tex] \frac{1024 \times2097152 }{16777216} = 128[/tex]
Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result.
Vertex: (-1/3,-1) Point (0, -10/9)
The standard form of the quadratic function with the given vertex is f(x) = 9x² + 6x + 10.
What are Quadratic Functions?Quadratic functions are polynomial functions where the highest degree of the variable is 2..
The general form of a quadratic function is f(x) = ax² + b x + c.
We know that, graph of a quadratic function is parabola.
General equation of a parabola is a(x - h)² + k.
Here (h, k) is the vertex.
Given vertex = (-1/3, -1)
Substituting,
a(x - h)² + k = a(x + 1/3)² - 1
Also we have a point (x, y) = ((0, -10/9)
a(0 + 1/3)² - 1 = -10/9
a/9 - 1 = -10/9
a/9 = -1/9
a = -1
General form is -1(x + 1/3)² - 1 = -1(x² + 2/3 x + 1/9) - 1
= -x² - 2/3 x -10/9
= 9x² + 6x + 10
Hence the standard form of the function is f(x) = 9x² + 6x + 10
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A rocket is shot off from a launcher. The accompanying table
represents the height of the rocket at given times, where x is time, in
seconds, and y is height, in feet. Write a quadratic regression equation
for this set of data, rounding all coefficients to the nearest tenth. Using
this equation, find the height, to the nearest foot, at a time of 9.7
seconds.
Time in Seconds (x) Height in Feet (y)
1
298
1.8
518
2.4
660
3.8
961
4.8
1137
The height is 2,236.66 feet.
What is Regression line?An estimate of the line that depicts the actual, but unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.
Given:
The model obtained using a regression solver with Coefficient
ŷ = 219.28876X + 109.56303
height = y
x = time
Using the model obtained;
The height, to the nearest foot, at a time, x = 9.7seconds.
ŷ = 219.28876X + 109.56303
ŷ = 219.28876(9.7) + 109.56303
ŷ = 2,236.66
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The picture below shows the graph of which inequality?
The graph shows the inequality x² ≤ 16
How find the inequality for the graph?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.
Inequalities are often used to describe conditions or constraints in real-world problems.
You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:
x² ≤ 16
x ≤ ±√16
x ≤ ±4
x ≤ -4 or x ≤ 4
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The graph of a linear function is shown.
A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing through (0, 0) and (5, 1).
Which word describes the slope of the line?
positive
negative
zero
undefined
–6
–4
4
6
The required slope of the linear function shown on the graph passing through (-5, -1) to (5, 1) is given as positive 1/5. Option A is correct.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
A coordinate plane with a straight line. The line starts at (-5, -1) and continues up and to the right passing through (0, 0) and (5, 1).
The slope of a linear function is given as,
M = (y₂ - y₁) / (x₂ - x₁)
m = 1 + 1 / 5 + 5
m = 2 / 1 0
m = 1 / 5
Thus, the required slope of the linear function shown on the graph passing through (-5, -1) to (5, 1) is given as positive 1/5. Option A is correct.
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Answer:
the answer is a
Step-by-step explanation:
For 100 hundred points just tell me what needs to go into the circles if you know the answer thats better
The solution is, the value of lengths are x & 4.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
here, we have,
from the given figure we get,
area = 5x+20
where, two rectangles are with areas 5x & 20
now, from the diagram we have,
the area as product = 5 ( x+ 4)
so, we get,
1st rectangle , length = 5,
area = 5x
so, width = x ,
again. 2nd rectangle, length = 5
area = 20
so. width = 4
Hence, The solution is, the value of lengths are x & 4.
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A new mountain bike will cost p dollars. Maddie has saved $375 for a new mountain bike. Her grandmother will give her $215 to help pay of the new bike.
Which inequality can be used to find the possible price values, p, of new mountain bikes that Maddie can afford?
Price values, p, of new mountain bikes that Maddie can afford is 375 + 215 ≥ p
What is inequality?
Inequality is a relationship between two expressions or values that are not equal to each other.
The inequality that can be used to find the possible price values, p, of new mountain bikes that Maddie can afford is:
375 + 215 ≥ p
This inequality represents the total amount of money Maddie has saved and the amount her grandmother will give her being greater than or equal to the cost of the bike. If the left side of the inequality is greater than or equal to the right side, Maddie can afford the bike at that price.
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in a certain town, the left-handed:right-handed ratio among children is 1:2. suppose a family has three children. define events: a: the family has children of both handedness b: the family has at most one right-handed child
The probability of the family having at most one right-handed child is [tex](2/3)^3 + 3 * (2/3)^2 * (1/3) = 0.593[/tex].
The probability of event A can be calculated using the formula P(A) = 1 - P(not A). Since the left-handed:right-handed ratio is 1:2, the probability of a child being right-handed is 2/3 and the probability of a child being left-handed is 1/3. Thus, the probability of the family having children of both handedness is[tex]1 - P(not A) = 1 - (2/3)^3 = 0.741[/tex].
The probability of event B can be calculated using the formula P(B) = P(not A) + P(A and B). Since the left-handed:right-handed ratio is 1:2, the probability of a child being right-handed is 2/3 and the probability of a child being left-handed is 1/3. Thus, the probability of the family having at most one right-handed child is[tex](2/3)^3 + 3 * (2/3)^2 * (1/3) = 0.593.[/tex]
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a product is originally priced at $55 and is on sale for 25% off. how much is the discount
Answer: The discount is $13.75, which is found by multiplying the original price by the discount percentage, 0.25.
Step-by-step explanation:
The diagram shows a circle with centre O.
A, B & C lie on the circumference of this circle.
Given that AC is a diameter of the circle and ∠BCA = 5 × ∠BAC, find the size of ∠BAC as highlighted in the diagram.
this is ez, make sure to give me brainliest
Answer: ∠BAC = x = 15 degrees
Step-by-step explanation:
since AC is diameter, ∠ABC = 90 degrees
let ∠BAC = x
then ∠BCA = 5x
now, x + 5x + 90 = 180
6x = 90
x = 90/6 = 15
so, ∠BAC = x = 15 degrees
a scuba diver plans to go on two dives in one day. in the first, she will descend to feet, and in the second she plans to descend to feet. estimate the difference between the depth of the two dives by first rounding to the nearest ten.
In linear equation, 30 is the depth of the two dives by first rounding to the nearest ten.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
= 75-43 feet,
= 32 feet.
Round 32 to the nearest ten, and you get 30 feet.
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The complete question is -
A scuba diver plans to go on two dives in one day. In the first, she will descend to 75 feet, and in the second she plans to descend to 43 feet. Estimate the difference between the depth of the two dives by first rounding to the nearest ten.
A) 30 feet
B) 40 feet
C) 120 feet
D) 32 feet
Pete’s Pizzas charges $5.50 per pizza. Pete spent $200 in supplies to start his business. Write an equation to determine the total Profit, y, he will make after he sells x amount of pizzas.
three cards are chosen at random from a standard -card deck. what is the probability that they are not all the same color?
The probability that three cards chosen at random from a standard 52-card deck that are not all the same color is 3/4.
Total number of combinations of three cards: There are 52 choose 3 = 22,100 ways to choose three cards from a standard deck of 52 cards.
Number of combinations that are not all the same color: There are two possibilities for the colors of the three cards:
a. Two red cards and one black card: There are 26 choose 2 ways to choose two red cards and 26 choose 1 ways to choose one black card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.
b. Two black cards and one red card: There are 26 choose 2 ways to choose two black cards and 26 choose 1 ways to choose one red card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.
The total number of combinations that are not all the same color is 8,450 + 8,450 = 16,900.
The probability that three cards chosen at random are not all the same color is:
P(not all the same color) = (number of combinations that are not all the same color) / (total number of combinations of three cards) = 16,900 / 22,100 = 3/4.
Therefore, the probability that three cards chosen at random from a standard 52-card deck are not all the same color is 3/4.
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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 6.
Event B: The sum is an odd number.
Write your answers as fractions.
The probabilities are given as follows:
Sum greater than 6: 7/12.Sum is an odd number: 1/2.How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
Each dice has six outcomes, hence the total number of outcomes when two dice are rolled is given as follows:
6² = 36.
The possible outcomes for the pair of dice are given as follows:
(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)We can see a pattern of the sum, even-odd-even-odd and so on, hence the probability of an odd sum is given as follows:
p = 18/36 = 1/2.
For a sum greater than 6, the number of outcomes is given as follows
1 + 2 + 3 + 4 + 5 + 6 = 21.
Hence the probability is of:
p = 21/36
p = 7/12.
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Explain why 2 is NOT a solution of x 7 5
Based on the information provided, 2 is not a solution of x>5 because a possible solution requires a number greater than 5.
How to solve inequality?Inequalities include symbols such as >, ≤, ≥, among others that should be interpreted correctly to solve the inequality. In this case, the symbol in the inequality is >, which means greater than. Based on this, the value of x should be greater than 5, for example, 7, 19, 2948, etc.
Therefore, 2 is not a solution to the inequality x>5 because a number greater than 5 rather than less than 5 is required to solve this expression.
Note: This question is incorrect and incomplete; here is the complete question:
Explain why 2 is NOT a solution of x>5
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Probability: It's either between C and D, am I correct?
the fibonacci sequence is found by adding the two numbers before it together. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... the 2 is found by adding the two numbers before it (1 1). the 21 is found by adding the two numbers before it (8 13). the next number in the fibonacci sequence is:
The next number in the Fibonacci sequence after 34 (found by adding 21 and 34) is 55.
The Fibonacci sequence is a series of numbers where each number is the sum of the two numbers preceding it. The sequence starts with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... and continues infinitely. The number 34 is found by adding the two numbers before it (13 and 21), and the next number in the sequence is 55, which is the sum of 34 and 21. This pattern continues, with each subsequent number being the sum of the two numbers before it.
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Find the volume of this triangular prism
Answer:
Step-by-step explanation:
V = (1/2bh)l
= (1/2(5x2))4
= (5)(4)
= 20cm^3
[tex]A=\frac{b*h}{2} \\\\a^2+b^2=c^2\\\\2^2+5^2=c^2\\4+25=c^2\\\sqrt{29}=c\\ \\A=\frac{\sqrt{29}*4 }{2}\\ A=\frac{\sqrt{29}*\sqrt{16}}{2}\\ A=\frac{\sqrt{464}}{2}\\[/tex]
nvm this is wrong lol, too many "solve for the missing side" problems bouncing around in my head
[tex]A=\frac{(5*2)(4)}{2} \\A=\frac{5*2*4}{2}\\A=5*4\\A=20[/tex]
this is right
oscar finally found his dog on the fourth day. if he searched in a for two days and b for two days (not necessarily in that order) what is the probability that he found his dog. alive?
the probability that he found his dog. alive is 15%.
What is probability?
The chance of an event can be calculated using the probability formula by simply dividing the favourable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anything between 0 and 1, as the favourable number of outcomes can never exceed the total number of outcomes. Probability theory is a branch of mathematics that focuses on calculating the likelihood that an event will occur. Probability measures how likely something is to happen.
if he searched in a for two days and b for two days
P(A) = 0.4
P(B) = 0.6
P(Dn D-1 F-1)= n n+2
P(FnA, Sn, F-1) = 0.25
P(FB, S, F-1) = 0.15
Hence the probability that he found his dog. alive is 15%.
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(2-square root 3)^2 multiply
t 1.9.3 Quiz: Finding Vertical Asymptotes
Question 10 of 10
Which of the following rational functions is graphed below?
OA. F(x) ==
OB. F(x)=¹
O C. F(x) = 1/
○ D. F(x)=x+4
← PREVIOUS
The solution is
A) The vertical asymptote of the function f ( x ) is = -3
B) The holes in the graph of f ( x ) = ( 0 , 6 )
C) The horizontal asymptote of the function f ( x ) is = 6
What are Asymptotes?An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote. When graphing functions, asymptotes are typically not required
There are 3 types of asymptotes
Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k. Horizontal Asymptote is when the function f(x) is tending to zero
Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k. Vertical asymptotes are defined when the denominator of a rational function tends to zero
Slanting asymptote (Oblique asymptote) - It is a slanting line and hence its equation is of the form y = mx + b
here, we have,
Given data ,
Let the function be f ( x ) = ( 6x² + 6x - 36 ) / ( x² + 3x )
A)
Now , to find the vertical asymptote
To find the vertical asymptote of a rational function, we simplify it first to lowest terms, set its denominator equal to zero, and then solve for x values
So , when x² + 3x = 0
x ( x + 3 ) = 0
So , x + 3 = 0
x = 0 is a hole in the graph
x = -3 is the vertical asymptote
B) The hole in the graph is ( 0 , 6 )
C)
Now , to find the horizontal asymptote
If both the polynomials have the same degree, divide the coefficients of the leading terms
So , 6x² and x² are the polynomials having the same degree
So , the coefficients are 6 and 1
y = (leading coefficient of numerator) / (leading coefficient of denominator)
y = 6 is the horizontal asymptote
Hence ,
A) The vertical asymptote of the function f ( x ) is = -3
B) The holes in the graph of f ( x ) = ( 0 , 6 )
C) The horizontal asymptote of the function f ( x ) is = 6
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Complete question:
Find the following for the rational function
f (x) =6x²+62-36/x²+3
A. Find the vertical asymptote(s) of f.
B. Find the (x, y) coordinates of any holes in the graph of f.
C. Find the horizontal asymptote(s) of f.
What is 5,25 rounded to 2 decimals?
Answer:
5.3
Step-by-step explanation:
so, to round this up we need to look at the number beside 2
5 is always rounded up
so, 5.3
after running a chi-square test using the actual values and expected values, a p-value of 0.0000005 is obtained. is there a statistically significant association between the variables?
Yes, there is a statistically significant association between the variables when a p-value of 0.0000005 is obtained after running a chi-square test.
The p-value is the probability of observing a test statistic as extreme as the one calculated, assuming that the null hypothesis is true.
In most cases, if the p-value is less than 0.05 (5%), it is considered statistically significant. This means that there is less than a 5% chance that the results observed in the chi-square test are due to random chance, and that there is likely a real association between the variables being tested.
In the case of a p-value of 0.0000005, this is much less than 0.05 and therefore, it can be concluded that there is a statistically significant association between the variables.
This means that the observed differences between the actual values and expected values are not due to chance, but rather, there is a strong relationship between the two variables being tested.
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Halp.
What is the ratio of the sides from the big to the small rectangle?
Answer:
2:1
Step-by-step explanation:
We know
To get from F to G, we have to go from -2 to 2, for which the length is 4.
To get from F' to G', we have to go from -2 to 0, for which the length is 2.
What is the ratio of the sides from the big to the small rectangle?
The ratio is 4:2 = 2:1
Which equation represents a vertical compression by 1/4, horizontal shift right 3 and a vertical shift up 7?
The equation that represents the transformation is y = (1/4)f(x-3) + 7
Hwo to determine the equationFrom the question, we have the following parameters that can be used in our computation:
vertical compression by 1/4, horizontal shift right 3vertical shift up 7This equation applies the following transformations to the graph of y = f(x):
A vertical compression by 1/4: multiplying the output (y-value) by 1/4 scales the graph down vertically by a factor of 1/4.A horizontal shift right by 3: subtracting 3 from the input (x-value) shifts the graph right by 3 units.A vertical shift up by 7: adding 7 to the output (y-value) shifts the graph up by 7 units.Read more about transformation at
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plss help me
Express sin
�
S as a fraction in simplest terms.
By definition of trigonometric functions, the exact value of sine trigonometric function of angle S is equal to 2 / 9.
How to calculate the exact value of a trigonometric function
In this problem we find the case of a right triangle, of which two of its three sides are known, the hypotenuse (r) and the leg opposite to angle S (y). The exact value of sine trigonometric function is defined below:
sin S = y / r
sin S = QR / QS
sin S = 2 / 9
The sine trigonometric function of angle S is equal to 2 / 9.
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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
A: the x-axis.
B: the y-axis.
C: the line y=6
D: the line x=5
Please answer quickly and correctly thank you
The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given line equations are y=3x-6 and y=-2x+8.
Here, 3x - 6 = -2x + 8
Add 2x to both sides of the equation.
5x - 6 = 8
Add 6 to both sides of the equation.
5x = 14
Divide both sides of the equation by 5.
x = 14/5
Find the y-value where these points intersect by plugging this x-value back into either equation.
y = 3(14/5) - 6
Multiply and simplify.
y = 42/5 - 6
Multiply 6 by (5/5) to get common denominators.
y = 42/5 - 30/5
Subtract and simplify.
y = 12/5
These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.
Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.
Set both equations equal to 0.
(I) 0 = 3x - 6
Add 6 both sides of the equation.
6 = 3x
Divide both sides of the equation by 3.
x = 2
Set the second equation equal to 0.
(II) 0 = -2x + 8
Add 2x to both sides of the equation.
2x = 8
Divide both sides of the equation by 2.
x = 4
The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.
The height of the triangle is 12/5 units.
Formula for the Area of a triangle:
A = 1/2bh
Substitute 2 for b and 14/5 for h.
A = 1/2 ×2 × 12/5
Multiply and simplify.
A = 12/5
Therefore, the area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.
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Answer:
Step-by-step explanation:
An image of a rhombus is shown.
What is the area of the rhombus?
The area of the rhombus is 384 cm²
What is the area of Rhombus?The diagonals of a rhombus are the lines that connect the opposite vertices (corners) in the center of the shape. The diagonals of a rhombus are perpendicular and form four right triangles through their intersection
Area of Rhombus = d₁ x d₂
Area of Rhombus = base x height
Given data ,
Let the area of the Rhombus be represented as A
Now , the value of A is
Let the base of the rhombus be B = 20 cm
Let the height of the rhombus be H = 19.2 cm
Now , the area of the rhombus = base x height
Substituting the values in the equation , we get
Area of Rhombus A = 19.2 x 20
Area of Rhombus A = 384 cm²
Hence , the area of the rhombus is 384 cm²
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enola wants to ride her bicycle 23.8 miles this week. she has already ridden 11 miles. if she rides for 4 more days, write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.
Enola needs to ride 3.2 miles a day
In the given question enola wants to ride her bicycle 23.8 miles this week and she has already ridden 11 miles and if she rides for 4 more days the we have to write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.
The target distance of 23.8 miles can be reached in 4 days if the average rate is x and 11 miles are travelled.
This can be expressed as equation:
4x + 11 = 23.8
Solve it for x:
4x = 23.8 - 11
4x = 12.8
x = 12.8/4
x = 3.2
The value of x is 3.2
So, Enola needs to ride 3.2km
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Pls show your work thank you will mark the Brainliest
Answer:
The answer to the problem is c
When you graph it x+2y <-2
y-x<3 you will get c
add the following -7 plus 7
Answer: 0
Step-by-step explanation:
-7,-6,-5,-4,-3,-2,-1,0
7 times