Answer:
False
Step-by-step explanation:
10 divided by \(\frac{1}{2}\)
20
10÷1/2
≈10/1÷1/2
KFC
10/1×2/1
=20/1=20
Hope this helped- have a good day, cya)
2 Which table represents a function? X y X у 2 -3 -3 0 3 0 -2 1 4 -3 -3 2 2 1 2 3 (1) (3) х X у 1 2 AWNIK -4 1 2 1 NO 4. 1 5 4 6 (2) (4)
The only table that represents a function is the fourth option.
What is a function?
A function is a relation that maps elements from a set (domain) into elements of another set (range).
Such that each element from the domain can be mapped into only one element from the range.
In the table, the "x" values are from the domain, and the "y" values are from the range.
So, if you see a table with the same value of x being mapped into two different values of y, then that relation is not a function.
With that in mind, the only table that meets this property is table number 4.
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POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(6)
Answer:
Hypothesis: it is hot
Conclusion: It is July.
Given the function f(x) = -x^2 +7x + 6, find the interval(s) in which f(x) is decreasing.
Answer:
Step-by-step explanation:
f'(x)=-2x+7
f(x) is decreasing if '(x)<0
so -2x+7<0
or 7<2x
or 2x>7
or x>7/2
including end points f(x) is decreasing in [3/2,∞)
Are the mean and median close to the same value or very different from one another? What does this tell you about the data?
The relationship between the mean and median can provide information about the shape of the distribution and the presence of outliers.
Explaining mean and medianThe mean and median can be either close to the same value or very different from one another, depending on the distribution of the data.
If the data is approximately symmetric, with no extreme values, then the mean and median will be close to each other. In this case, the data is evenly distributed around the central tendency of the data, so both measures provide a similar representation of the central value.
However, if the data is skewed, with one tail longer than the other, or if there are extreme values (outliers) present in the data, then the mean and median will be different.
In this case, the mean is pulled in the direction of the skew or outliers, while the median remains unaffected.
As a result, the mean may not provide an accurate representation of the central tendency of the data.
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need help for this question
The first one it's the first image, and the second one is the second image.
What is the simplified form of each radical expression?
c. ⁴√x¹²y¹⁶
To simplify the radical expression ⁴√x¹²y¹⁶, we can rewrite it using exponent rules. The index of the radical, ⁴√, indicates that we need to find the fourth root.
First, let's simplify the expression inside the radical. For the variable x, we can divide the exponent 12 by 4 to get 3: x¹² = x³. Similarly, for the variable y, we can divide the exponent 16 by 4 to get 4: y¹⁶ = y⁴. Now, we can rewrite the radical expression: ⁴√x¹²y¹⁶ = ⁴√x³y⁴. Since the fourth root (√) and the fourth power (⁴) cancel each other out, the simplified form of the expression ⁴√x¹²y¹⁶ is x³y⁴. In summary, the simplified form of the radical expression ⁴√x¹²y¹⁶ is x³y⁴.
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−k−(−8k+7) what is the answer, I want an explanation please
Answer:
Step-by-step explanation:
-k - ( -8k + 7)
negative sign is outside the parenthesis. so it should be multiplied with -8k and 7
-k - (-8k + 7) = -k - 8k * (-1) + 7*(-1)
= -1k + 8k - 7
Now -k and 8k are like terms. So, combine them.
= 7k - 7
Explain why the set of natural numbers {1,2,3,4,...} and the set of even numbers {2, 4, 6, 8, . . .} of positive even numbers
The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.
About the setsTwo important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.
The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.
Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.
Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}
On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.
Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.
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Solve for X and Y
Please help
Answer:
x = 7
y = 3
Step-by-step explanation:
\(\triangle ABC\) is an equilateral triangle so that means all sides are equal
which means
\(AB= BC=AC\\\\7=x\)
now in \(\triangle ACD\) is an isosceles triangle so that means opposite sides to the angles that have the same measure are equal
which means
\(AC=CD\\\\AC = y+4\)
now remember that AC is a side of the equilateral \(\triangle ABC\) so AC = 7
solving for y
\(7=y+4\\\\7-4 = y\\\\3=y\)
so
\(x = 7\\\\y = 3\)
2x + 3(1/5x+3/4) simplify expression
Answer: 13x/5 + 9/4
Step-by-step explanation:
An apartment building casts a shadow. The tip of the shadow is 100.0m from the top of the building and 72.0m from the base of the building. How tall is the building?
The height of the building is 100.0m. To determine the height of the building, we can use similar triangles and apply the concept of proportions.
Let's denote the height of the building as \(h\) and the length of the shadow as \(s\). We are given that the distance from the tip of the shadow to the top of the building is 100.0m and the distance from the tip of the shadow to the base of the building is 72.0m.
Using the concept of similar triangles, we can set up the following proportion:
\(\frac{h}{s} = \frac{h - 100}{s - 72}\)
Cross-multiplying the proportion, we have:
\(h(s - 72) = s(h - 100)\)
Expanding the equation:
\(hs - 72h = sh - 100s\)
Rearranging the equation to isolate \(h\):
\(hs - sh = 100s - 72h\)
Factoring out \(h\) and \(s\):
\(h(s - 72) = 100s - 72h\)
Adding \(72h\) and subtracting \(100s\) on both sides:
\(h(s - 72) + 72h = 100s\)
Combining like terms:
\(hs - 72h + 72h = 100s\)
\(hs = 100s\)
Dividing both sides by \(s\):
\(h = 100\)
Therefore, the height of the building is 100.0m.
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Give your answers to questions 7-14 in slope -intercept form. 7. Write the equation of the line that is parallel to the line y=3x+6 and passes through the point (4,7).
The equation of the line that is parallel to y = 3x + 6 and passes through the point (4,7) is y = 3x - 5.
The given equation is y = 3x + 6. We know that parallel lines have the same slope. Therefore, the new line will also have a slope of 3.
Let's use the point-slope form to find the equation of the line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the given point.
Substituting the values we get:
y - 7 = 3(x - 4)
Expanding the brackets:
y - 7 = 3x - 12
Adding 7 to both sides:
y = 3x - 5
Therefore, the equation of the line that is parallel to y = 3x + 6 and passes through the point (4,7) is y = 3x - 5.
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:
x is the number of half-lives that have passed,
(EX. If the half life is 3 days, then 6 days would be 2 half lives and 9 days would be 3 half-lives)
:
Question 9 (1 point) ✓ Saved
Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg were
used in a procedure. Write an equation that can be used to determine how much of
the isotope is left after x number of half-lives.
Question 10: how much would be left after 70 days?
The exponential function that is used to determine how much of the isotope is left after x number of half-lives is:
\(A(x) = 90(0.5)^x\)
5.625 mg would be left after 70 days.
What is an exponential function?A decaying exponential function is modeled by:
\(A(t) = A(0)(1 - r)^t\)
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, considering that it has 90 mg, and the half-life means that r = 0.5, the equation is:
\(A(x) = A(0)(1 - r)^x\)
\(A(x) = 90(0.5)^x\)
70 days is 70/17.5 = 4 half-lifes, hence:
\(A(4) = 90(0.5)^4 = 5.625\)
5.625 mg would be left after 70 days.
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What is the slope of the line that contains these points? (-7,21) (-6,17) (-5,13) (-4,9)
Answer:
-4
any more help just ask :)
20. Mr. Reed bought tickets for 7 teachers
to attend a concert. He paid a total of
$245 for the tickets. If each ticket
cost the same amount, how much
did Mr. Reed pay for each ticket?
A $24.50
B $25.00
C $32.00
D $35.00
A rectangle has perimeter 20 m. express the area a (in m2) of the rectangle as a function of the length, l, of one of its sides. a(l) = state the domain of a.
In rectangle , The domain of A is: 0 ≤ l ≤ 5
To express the area of the rectangle as a function of the length of one of its sides, we first need to use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where l is the length and w is the width of the rectangle.
In this case, we know that the perimeter is 20 m, so we can write:
20 = 2l + 2w
Simplifying this equation, we can solve for the width:
w = 10 - l
Now we can use the formula for the area of a rectangle, which is A = lw, to express the area as a function of the length:
A(l) = l(10 - l)
Expanding this expression, we get:
A(l) = 10l - l^2
To find the domain of A, we need to consider what values of l make sense in this context. Since l represents the length of one of the sides of the rectangle, it must be a positive number less than or equal to half of the perimeter (since the other side must also be less than or equal to half the perimeter). Therefore, the domain of A is:
0 ≤ l ≤ 5
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Find the area of the figure round to the nearest tenth
Answer:
180 m
Step-by-step explanation:
Julieta drew the triangle that is shown below.
-5
4
-3
B
2
A
-5-4-3-2-1 1 2 3 4
5 X
2
C
5
Julieta rotated the triangle 180 degrees clockwise about the origin. What is the new triangle?
+
& b N
-3-
4
The new triangle has vertices A''(-5, -2), B''(-4, 3), and C''(-2, -5).
To rotate the triangle 180 degrees clockwise about the origin, we need to reflect each point across the x-axis and then reflect the resulting points across the y-axis.
Point A(-5, 2) becomes A'(5, -2) after reflecting across the x-axis. Then, A''(-5, -2) after reflecting A' across the y-axis.
Point B(4, -3) becomes B'(4, 3) after reflecting across the x-axis. Then, B''(-4, 3) after reflecting B' across the y-axis.
Point C(-2, 5) becomes C'(2, -5) after reflecting across the x-axis. Then, C''(-2, -5) after reflecting C' across the y-axis.
what is triangle?
A triangle is a polygon with three sides and three angles. It is one of the simplest and most basic geometric shapes, and appears in many different contexts in mathematics, science, and everyday life.
Triangles are classified based on the lengths of their sides and the sizes of their angles. The three basic types of triangles are:
Equilateral Triangle: A triangle with all three sides of equal length and all three angles of equal measure (60 degrees).
Isosceles Triangle: A triangle with two sides of equal length and two angles of equal measure.
Scalene Triangle: A triangle with all three sides of different lengths and all three angles of different measures.
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ou collect coins. One of your favorite coins is a silver-colored coin showing a person's portrait.
The diameter of the coin is twenty two millimeters.
What is the radius of the coin? What is the circumference of the coin? What is the area of the coin?
How many times can a length of 15cm
be cut from 4.5m?
Answer:The total length of ribbon = 4½ m = 4.5 m. = 4.5 m x (100 cm/1 m). = 450 cm. The number of pieces of ribbon, each 4.5 cm long, that can be cut from a length
Step-by-step explanation:
Answer:
3.333
the three continuous
a baseball diamond is a square with side 90 ft. at what rate is the player's distance from home base increasing when he is half way from first to second base?
The rate is his distance from second base decreasing when he is halfway to first base is -45ft
The rate is his distance from third base increasing at the same moment is 26ft
Let's call the batter's distance from second base "x" and his distance from third base "y". We want to find dx/dt (the rate at which x is changing) and dy/dt (the rate at which y is changing) when the batter is halfway to first base.
Since the baseball diamond is a square, we know that the distance from second base to first base is also 90 ft. Therefore, when the batter is halfway to first base, his distance from second base is:
x = 90 ft - 45 ft = 45 ft
Now we can find dx/dt by taking the derivative of x with respect to time:
dx/dt = -26 ft/s
The negative sign indicates that x is decreasing, as we expected.
Next, we need to find the rate at which the batter's distance from third base is increasing when he is halfway to first base. We know that the distance from third base to first base is also 90 ft, so the distance from the halfway point to third base is:
y = 90 ft - 45 ft - 90 ft = -45 ft
Well, in this case, it means that the batter is actually behind third base when he is halfway to first base. So, we need to flip the sign of y to make it positive:
y = -(-45 ft) = 45 ft
Now we can find dy/dt by taking the derivative of y with respect to time:
dy/dt = 26 ft/s
The positive sign indicates that y is increasing, as we expected.
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Complete Question:
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 26 ft/s.
At what rate is his distance from second base decreasing when he is halfway to first base?
At what rate is his distance from third base increasing at the same moment?
I need help with this so I can pass my Algebra 1 class
Solutions for he inequalities are as follows;
9. n ≤ -6 10. a ≥ 15 11. p ≥ -17 12. v < 4
13. The slope is 1 14. The slope is 0.83
15. The slope is 0.22 16. the slope is 0.32
How do you solve the following inequalities?The solution to the following inequalities is as follows;
9. -26 ≥ 5n + 4 10. -116 ≥ 4 - 8a
5n + 4 ≤ -26 4 - 8a ≤ -116
5n ≤ -26 - 4 - 8a ≤ -116 - 4 ⇒ - 8a ≤ -120
5n ≤ -30 multiply both side by -1
Divide both sides by 5 8a ≥ 120 ⇒ a ≥ 15
n ≤ -6
11. 61 ≥ -3p + 10 12. -18 < -7v + 10
-3p + 10 ≤ 61 -7v + 10 > -18
-3p ≤ 61 - 10 -7v > -18 -10
-3p ≤ 51 -7v > -28
Divide both sides by -3 v < 4
p ≥ -17
13 To find the slope between two points (x1, y1) and (x2, y2), we use the formula: Slope = (y2 - y1) / (x2 - x1)
some of the coordinates for graph 13 are (-1, 0) (0, 1) (-2, -1) (1, 2)
When we input the values into the coordinates, its becomes
Slope between (-1, 0) and (0, 1):
Slope = (1 - 0) / (0 - (-1)) = 1 / 1 = 1
Slope between (0, 1) and (-2, -1):
Slope = (-1 - 1) / (-2 - 0) = -2 / -2 = 1
the slope for all pairs of coordinates is 1.
14. (-2, 0) (-3, -1), (3, 4)
Slope between (0, 1.5) and (-3, -1):
Slope = (-1 - 1.5) / (-3 - 0) = -2.5 / -3 ≈ 0.83
Slope between (-3, -1) and (3, 4):
Slope = (4 - (-1)) / (3 - (-3)) = 5 / 6 ≈ 0.83
15. Find the slope of the line through each pair of points
(12, -9) (-15, -15)
Using the formula Slope = (y2 - y1) / (x2 - x1), we input the values to be
Slope = (-15 - (-9)) / (-15 - 12)
= 0.22
16. (-11, -15) (11, -8)
Slope = (y2 - y1) / (x2 - x1)
For the given coordinates:
Slope between (-11, -15) and (11, -8):
Slope = (-8 - (-15)) / (11 - (-11)) = 0.32
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Find the angle between vector bold lower u equals 3 bold lower I plus start root 3 end root bold lower j and vector bold lower v equals negative 2 bold lower I minus 5 bold lower j to the nearest degree. A. 82° B. 38° C. 142° D. 98°
Answer:
C. 142°
Step-by-step explanation:
You want the angle between vectors u=3i+√3j and v=-2i-5j.
AngleThere are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:
u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest
You can find the angles of the vectors individually, and subtract those:
u = |u|∠α
v = |v|∠β
θ = α - β
When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:
\(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)
This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.
A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.
__
Additional comment
The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.
The dot-product relation will work with 3D vectors as well as 2D vectors.
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Eight more than twice a number is equal to ten leas five times the number, n. Which equation can be used to find n?
Answer:
Here is what I think the answer is.
n+2n+8 = 5n-10
3n+8 = 5n-10
-8 -8
3n = 5n-18
-5n -5n
-2n = -18
---- -----
-2 -2
n = 9
Step-by-step explanation:
It would be 8 + 2 = 10 - 5n I think.
what statement best defines an angle
Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day. A. Formulate an equation in exponential form that represents the termite situation. (5 points) B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination. (5 points)
Answer:
A.P(t) = Po (1 + r)^t
P(t) = 1200( 1 + 0.024)^t
B. 1417 termites
Step-by-step explanation:
Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day.
A. Formulate an equation in exponential form that represents the termite situation.
The formula for exponential growth or increase =
P(t) = Po (1 + r)^t
Where:
P(t) = Population growth after time t
P(o) = Initial Population = 1200 termites
r = Growth rate = 2.4% = 0.024
t = Time in days
Hence, the equation in exponential form that represents the termite situation is given as:
P(t) = 1200( 1 + 0.024)^t
B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination.
The time of extermination = 1 week
1 week = 7 days
Hence,
t = 7 days
P(t) = Po (1 + r)^t
P(7) = 1200( 1 + 0.024)⁷
P(7) = 1200(1.024)⁷
P(7) = 1416.7099449 termites
Approximately
= 1417 termites
Find the median of the set of data values.
79, 83, 54, 77, 98, 61, 88
Answer:
The median is 79.
Step-by-step explanation:
(11,-7) (-5,-5) midpoint
Answer:
(3,-6)
Step-by-step explanation:
The midpoint is the halfway distance between two points.
11+(-5)/2, -7+(-5)/2=
11-5/2, -7-5/2=
6/2, -12/2=
(3, -6)
If hector is 8 years old and Marry is 3 years old, how old will marry be when hector is 16.