Answer:
3.9
Step-by-step explanation:
2p-9.9
=2(3)-9.9
=6-9.9
=-3.9
r=15 yd what dose it mean
Answer:
r= 15 yd means that if they give you an equation in that question with r you plug in 15 for r.
Which linear inequality is represented by the graph?
Answer:
Third choice: \( y \le \dfrac{2}{3}x + \dfrac{1}{5} \)
Step-by-step explanation:
First, we find the equation of the line.
y = mx + b
b = y-intercept = 0.2 = 1/5
y = mx + 1/5
m = rise/run = 2/3
y = 2/3 x + 1/5
The line is solid, and the shading is below the line, so the inequality is
\( y \le \dfrac{2}{3}x + \dfrac{1}{5} \)
Answer:
C. y = 2/3x + 1/5
Step-by-step explanation:
Well lets look at the features,
Solid line and shaded down meaning it is y ≤.
So we can cross out choices A. B. D.
Do the answer is C. because it’s the only one that starts with y≤.
lim x→1 5x x − 1 − 5 ln(x)
The limit of the given expression as x approaches 1 is 0.
To evaluate the limit of the given expression as x approaches 1, we can use L'Hopital's rule, which states that if the limit of a quotient of functions is of the form 0/0 or ±∞/±∞, then the limit can be found by taking the derivative of the numerator and denominator and evaluating the new quotient at the same point.
Using L'Hopital's rule on the given expression, we get:
lim x→1 [5x/(x-1) - 5/x] = lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)]
Plugging in x = 1 directly to this expression, we get:
lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = (5 - 10 + 5)/(1 - 1) = 0/0
Since the limit is still in an indeterminate form, we can apply L'Hopital's rule once again:
lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = lim x→1 [(10x - 10)/(2x - 1)] = 0
Therefore, the limit of the given expression as x approaches 1 is 0.
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1=t +√2t-3. please show your working
Answer: t=2
Step-by-step explanation:
\(1=t+\sqrt{2t} -3\\1-1=t+\sqrt{2t}-3-1\\0= t+\sqrt{2t} -4\\Thus,\\t+\sqrt{2t} -4=0\\Let`s\ \sqrt{t} =x\geq 0\\\Rightarrow\ x^2+\sqrt{2} x-4=0\\x^2-\sqrt{2} x+2\sqrt{2}x-4=0\\ x(x-\sqrt{2})+2\sqrt{2} ( x-\sqrt{2})=0\\ (x-\sqrt{2})(x+2\sqrt{2})=0\\\\x-\sqrt{2} =0\\ x-\sqrt{2}+\sqrt{2}=0+\sqrt{2} \\ x=\sqrt{2}\\ \Rightarrow\ t=(\sqrt{2})^2\\ t=2\\\\x+2\sqrt{2} =0\\x+2\sqrt{2} -2\sqrt{2} =0-2\sqrt{2} \\x=-2\sqrt{2} \notin(x\geq 0)\)
The table below shows the students in an Algebra 1 class. What is the probability that a randomly chosen student will be a girl GIVEN that the student does NOT own a graphing calculator? (Note: If your fraction will reduce, you need to reduce it.)
Answer:
6/13
Step-by-step explanation:
Of the 13 students who do not own a graphing calculator, 6 are girls. The probability is 6/13.
kevin had 3 nickels and 7 dimes in his pocket he takes out one coin and then a second coin without replacing the first coin
Answer:
THIS MAKES NO SENSE WHATS SO EVER
Step-by-step explanation:
HELP ME PLEASE!!! I NEED HELP!
For the whole numbers:
24
26
23
25
21
46
63
57
75
91
1. 24 and 23.8
2. 26 and 25.7
3. 23 and 22.8
4. 25 and 24.8
5. 21 and 20.9
6. 46 and 46.3
7. 64 and 63.7
8. 56 and 56.5
9. 75 and 74.6
10. 91 and 90.7
When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.
If you have any further question, please reach out to me :)
sin theta = x , sec theta =y . find cot theta pls answer fast i need to verify my answer . you can directly write the answer no issues
Answer:
\(\huge\boxed{\cot\theta=\dfrac{1}{xy}}\)
Step-by-step explanation:
\(\bold{METHOD\ 1}\)
\(\sin\theta=x\\\\\sec\theta=y\\\\\cot\theta=?\\\\\text{We know:}\\\\\sec x=\dfrac{1}{\cos x};\ \cot x=\dfrac{\cos x}{\sin x}\\\\\sec\theta=y\to\dfrac{1}{\cos \theta}=y\to\dfrac{\cos\theta}{1}=\dfrac{1}{y}\to\cos\theta=\dfrac{1}{y}\\\\\cot \theta=\dfrac{\frac{1}{y}}{x}=\dfrac{1}{xy}\)
\(\bold{METHOD\ 2}\)
\(\text{We know}\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\cot x=\dfrac{\cos x}{\sin x}=\dfrac{1}{\tan x}\\\\\sec x=\dfrac{1}{\cos x}\\\\\text{therefore}\\\\(sin x)(\sec x)=(\sin x)\left(\dfrac{1}{\cos x}\right)=\dfrac{\sin x}{\cos x}=\tan x\\\\\dfrac{1}{(\sin x)(\sec x)}=\dfrac{1}{\tan x}=\cot x\)
\(\\\sin \theta=x;\ \sec\theta=y\\\\\text{substitute}\\\\\cot\theta=\dfrac{1}{xy}\)
the time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 16 minutes. (a) what is the probability that there are no calls within a 30-minute interval? (round your answer to 4 decimal places.) (b) what is the probability that at least one call arrives within a 10-minute interval? (round your answer to 4 decimal places.) (c) what is the probability that the first call arrives within 5 and 10 minutes after opening? (round your answer to 4 decimal places.) (d) determine the length of an interval of time such that the probability of at least one call in the interval is 0.90. minutes (round your answer to 2 decimal places.)
(a) The probability that there are no calls within a 30-minute interval is approximately 0.3680. (b) 0.4689. (c) 0.2160. (d)47.60 minutes.
(a) To find the probability that there are no calls within a 30-minute interval, we can use the exponential distribution. The parameter λ (lambda) for the exponential distribution is equal to 1/mean.
Given that the mean time between calls is 16 minutes, we can calculate λ as:
λ = 1/16
Now, let's calculate the probability using the exponential distribution formula:
P(no calls within 30 minutes) = e^(-λt)
P(no calls within 30 minutes) = e^(-(1/16) * 30)
P(no calls within 30 minutes) ≈ 0.3680
So, the probability that there are no calls within a 30-minute interval is approximately 0.3680.
(b) To find the probability that at least one call arrives within a 10-minute interval, we can use the complementary probability. The complementary probability is 1 minus the probability of no calls within the interval.
P(at least one call within 10 minutes) = 1 - P(no calls within 10 minutes)
P(at least one call within 10 minutes) = 1 - e^(-λt)
P(at least one call within 10 minutes) = 1 - e^(-(1/16) * 10)
P(at least one call within 10 minutes) ≈ 0.4689
So, the probability that at least one call arrives within a 10-minute interval is approximately 0.4689.
(c) To find the probability that the first call arrives within 5 and 10 minutes after opening, we can subtract the probability of no calls within 10 minutes from the probability of no calls within 5 minutes.
P(first call within 5-10 minutes) = P(no calls within 10 minutes) - P(no calls within 5 minutes)
P(first call within 5-10 minutes) = e^(-λ*10) - e^(-λ*5)
P(first call within 5-10 minutes) ≈ 0.2160
So, the probability that the first call arrives within 5 and 10 minutes after opening is approximately 0.2160.
(d) To determine the length of an interval of time such that the probability of at least one call in the interval is 0.90, we need to find the value of t that satisfies the equation:
P(at least one call within t minutes) = 0.90
Using the exponential distribution formula:
1 - e^(-λt) = 0.90
e^(-λt) = 1 - 0.90
e^(-λt) = 0.10
Taking the natural logarithm of both sides:
-λt = ln(0.10)
t = ln(0.10) / -λ
Substituting λ = 1/16:
t ≈ 47.5957 minutes
So, the length of the interval of time such that the probability of at least one call is 0.90 is approximately 47.60 minutes.
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find the values of X and y
Answer:
x=17/1/7, y=8/4/7
Step-by-step explanation:
x:
30/30+x=14/22
420+14x=660
14x+240
x=17/1/7
y:
14/22=15/15+y
210+14y=330
14y=120
y=8/4/7
Answer:
x = \(17\frac{1}{7}\)
y = \(8\frac{4}{7}\)
Step-by-step explanation:
1. Lines DE and AC are parallel.
Therefore, by the Triangle Proportionality Theorem:
\(\frac{SideBD}{SideAD} = \frac{SideBE}{SideEC}\)
= \(\frac{30}{x} = \frac{15}{y}\)
Rearranging:
\(\frac{30}{15} = \frac{x}{y}\)
\(2 = \frac{x}{y}\)
Cross-multiplication is applied:
\((x)(1) = (2)(y)\)
\(x = 2y\) —-(equation i)
2. ΔBDE and ΔBAC are similar triangles
Which means:
\(\frac{SideBD}{SideDE} = \frac{SideBA}{SideAC}\)
\(\frac{30}{14} = \frac{30 + x}{22}\)
Cross-multiplication is applied
\((14)(30 + x) = (30)(22)\)
\(420 + 14x= 660\)
\(14x = 660 - 420\)
\(14x = 240\)
\(x = \frac{240}{14}\)
Reduce the numerator and denominator by the Highest Common Factor (2):
∴x = \(\frac{120}{7}\)
=\(17\frac{1}{7}\)
Substitute the value of x in (equation i) to solve for y:
\(\frac{120}{7} = 2y\)
\(y = \frac{120}{7(2)}\)
∴y = \(\frac{60}{7}\)
= \(8\frac{4}{7}\)
Marcus is rewriting a polynomial by combining like terms. which terms does he still need to combine to finish rewriting the polynomial?
Marcus needs to combine the like terms that have the same variable and exponent in order to finish rewriting the polynomial.
When rewriting a polynomial by combining like terms, Marcus needs to look for terms that have the same variable and exponent. Like terms are terms that can be added or subtracted because they share these common characteristics. For example, in the polynomial\(3x^2\)- 4x - 7, Marcus would need to combine the terms \(3x^2\) and \(5x^2\) since they have the same variable (x) and exponent (2). After combining these terms, the polynomial can be rewritten as (\(3x^2+5x^2\) + (2x - 4x) - 7.
Marcus would still need to combine the terms \(3x^2\\\)and \(5x^2\), as well as the terms 2x and -4x. By adding or subtracting these like terms, Marcus will be able to simplify the polynomial further. Once all the like terms are combined, the polynomial will be fully rewritten in a simplified form, with no more terms that can be combined.
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A tortoise moves
at about 0.05
meters per
second. How
many
centimeters per
second does a
tortoise move?
Answer:
0.05 metrs = 5 cetimeters
Step-by-step explanation:
1 meter = 100 centimeters
0.05 meters = 0.05 * 100 = 5 centimeters
In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33 In this case, the p-value is: a. exactly 0.05 b. less than 0.05 c. greater than 0.05 d. cannot tell - it depends on what the SSE is
In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33 and the p-value is d. cannot tell - it depends on what the SSE is. Therefore, the correct option is option d.
In an ANOVA with 4 groups and a total sample size of 44, with a computed F statistic of 2.33, to determine the p-value, we need to consider the degrees of freedom for both the numerator (between groups) and the denominator (within groups).
Step 1: Calculate the degrees of freedom.
Degrees of freedom between groups (DFb) = Number of groups - 1 = 4 - 1 = 3
Degrees of freedom within groups (DFw) = Total sample size - Number of groups = 44 - 4 = 40
Step 2: Use an F-distribution table or an F-distribution calculator to determine the p-value.
With DFb = 3 and DFw = 40, you can look up the critical F value in an F-distribution table or use an online F-distribution calculator.
Based on the provided information, we cannot directly tell the p-value without consulting an F-distribution table or calculator. However, you can follow these steps to determine the p-value for the given F statistic of 2.33.
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Select ALL the correct answers.
Consider the graph of function g below.
Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.
-reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
- shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3
-reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit
The sequences of transformations could be applied is
reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unitshift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
From the picture we have, g(x) = -3x - 1
Parent function: f(x) = x
1) Reflect over the y-axis gives g(x) = -x
Vertically stretch by a factor of 3 gives g(x) = -3x
Shift down 1 unit gives g(x) = -3x - 1
2) Shift left 2 units: g(x) = x+2
Reflect over x-axis: g(x) = -x-2
Vertically stretch by a factor of 3 gives g(x) = -3x -6
3) Shift right 1 unit: g(x) = x-1
Reflect over the y-axis: g(x) = -x-1
Vertically stretch by a factor of 3: g(x) = -3x -3
4) Shift right 1 unit: g(x) = x-1
Reflect over the x-axis: g(x) = -x+1
Vertically stretch by a factor of 3: g(x) = -3x +3
5) Reflect over the x-axis: g(x) = -x
Vertically stretch by a factor of 3: g(x) = -3x
Shift down 1 unit: g(x) = -3x - 1
6) Shift down 1 unit: g(x) = x - 1
Reflect over the x-axis: g(x) = -x + 1
Vertically stretch by a factor of 3: g(x) = -3x + 3
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60% of 68 is what number? Choose the correct percent proportion to
represent the situation.
Answer:
40.8
Step-by-step explanation:
60% = 60/100
60/100 * 68
4080/100
40.8
Answer:
40.8
Step-by-step explanation:
d/68=60/100
60×68=4080
d×100=100d
4080=100d
4080÷100=40.8
100d÷100=d
d=40.8
hope this helps
77x10= what 10 x77 77x10
Answer: 770
Step-by-step explanation:
It would= 10 x 77 and 77 x 10 it=770 because you always add a zero like this.
7 x 10=70
70 x 10=700
700 x 10=7,000
7,000 x 10=70,000
Or another example take 8
8 x 10=80
8 x 100=800
8 x 1,000=8,000
8 x 10,000=80,000
Hope it helps have a great day:)
A blue die and a red die are thrown. B is the event that the blue comes up an odd number. E is the event that both dice come up odd.
Enter the sizes of the sets |E ∩ B| and |B|
The size of the set |E ∩ B| is 2, and the size of the set |B| is 3.
There are six possible outcomes when two dice are thrown:
{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3), (4,1), (4,2), (4,3), (5,1), (5,2), (5,3), (6,1), (6,2), (6,3)}.
Out of these 18 outcomes, the following three satisfy the event E (both dice are odd): (1,3), (3,1), and (3,3).
The following outcomes satisfy event B (the blue die is odd): (1,1), (1,3), (2,1), (2,3), (3,1), and (3,3).
Therefore, the size of the set |E ∩ B| is 2 (the two outcomes that satisfy both events are (1,3) and (3,1)), and the size of the set |B| is 3 (three outcomes satisfy the event B).
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\(\boxed{\bf 10\times 10\times 10=[\:\:]}\)
The perimeter of a rectangular horse pasture is
38 meters. The length is 5 meters more than its
width. What is the width of the pasture?
Answer:
W = 7
Step-by-step explanation:
Please kindly answer my mathematics. (See picture below)
From the two column proof concept we can say that:
1) It is one way to organize a proof in geometry.
2) The statements are on the first column
3) Statement 2: ∠MOK ≅ ∠TOK
Reason 2: Definition of Angle Bisector
Statement 3: OK ≅ OK
Reason 3: Reflexive Property of Congruency
Statement 4: OM ≅ OT
Reason 4: Given
How to solve two column proof problems?1) A two column proof is the most common formal proof in elementary geometry courses, where the known or derived statements are written in the left column, and the reasons why each statement is known or valid are in the right column next to it. is written.
Thus, it is one way to organize a proof in geometry.
2) The statements are on the first column while the reasons are on the second column
3) Statement 2: ∠MOK ≅ ∠TOK
Reason 2: Definition of Angle Bisector
Statement 3: OK ≅ OK
Reason 3: Reflexive Property of Congruency
Statement 4: OM ≅ OT
Reason 4: Given
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May someone help me with this :)
Answer:
Perimeter is 30 and area is 32
Step-by-step explanation:
7+8+7+8= 30 and A= BH so 8 x 4 = 32
Identify which shapes on the graph are congruent to shape I by performing these sequences or transformations on shape I
For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic as.
For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic at least as unlikely as or more unlikely than that provided by the sample.
What is two tailed test ?
In statistics, a two-tailed test is a procedure that determines whether a sample is greater than or less than a specific range of values by using the critical area of a distribution that is two-sided.
Main body:
Hence the p-value is the probability of obtaining a value for the test statistic at least as unlikely as or more unlikely than that provided by the sample.
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What is the volume and surface area of this cone?
Answer:
Volume = 261.8 cm³
Surface area = 254.2 cm²
Step-by-step explanation:
To calculate the volume of the cone, we have to use the following formula:
\(\boxed{V = \frac{1}{3} \pi r^2 h}\),
where:
V ⇒ volume
r ⇒ radius = 5 cm
h ⇒ height = 10 cm
Using the above formula and the provided measures, we get:
V = \(\frac{1}{3}\) × π × (5)² × 10
= \(\frac{1}{3}\) × π × 25 × 10
= 261.8 cm³
In order to calculate the surface area of the cone, we have to use the following formula:
\(\boxed{SA = \pi r^2 + \pi r l}\)
where:
SA ⇒ surface area
r ⇒ radius = 5 cm
l ⇒ slant length = \(\sqrt{r^2+h^2}\) = \(\sqrt{5^2+10^2}\) = 5√5 cm
Using the formula,
SA = π × (5)² + π × 5 × 5√5
= π × 25 + π × 25√5
= 254.2 cm²
a histogram with the hills to the far left means the image is overexposed.
The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.
A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.
When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.
Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.
Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.
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does anyone know equivalent expressions for these: y+4t+5y+3(3t+9y) and 9(y+4y+5)
Answer:
y + 4t + 5y + 3 (3t + 9y) = 13t + 33y
9 (y + 4y + 5) = 45y + 45
Solve for s.
1.52(s + 3) − 2.61 = 9.55
s =
Answer:
s=5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
s=5
Answer:
s = 5
Step-by-step explanation:
1.52(s + 3) − 2.61 = 9.55
solve the brackets first
1.52s + 4.56 − 2.61 = 9.55
1.52s + 1.95 = 9.55
1.52s = 9.55 - 1.95
1.52s = 7.6
s = 7.6 / 1.52
s = 5
Let's Cross-Check
1.52 (5 + 3) − 2.61
7.6 + 4.56 − 2.61
7.6 + 1.95
= 9.55
CROSS-CHECKED
Hey let’s talk about guns are they good or bad
Answer:
they are good I think I don't see why they wouldn't be
Find all values of k, if any, that satisfy the equation.
[1 1 0] [k] [k 1 1] [1 0 2] [1] = 0
[0 2 -3] [1]
Expanding the matrix multiplication, we have k + 1 + 0 = 0, k + 2 = 2, 3 = -3, and k + 5 = 0. However, the equation 3 = -3 has no solution.
Let's calculate the matrix multiplication on the left-hand side of the equation. Expanding the multiplication, we obtain:
[k + 1 + 0] [k + 0 + 2] [1] = [0 2 -3]
[1 + 0 + 2] [k + 1 + 4] [1]
Simplifying, we have:
[k + 1] [k + 2] [1] = [0 2 -3]
[3] [k + 5] [1]
To determine if there are values of k that satisfy the equation, we compare the corresponding entries on both sides. From the first row, we have k + 1 = 0 and k + 2 = 2. Solving these equations gives k = -1 and k = 0, respectively.
However, when we consider the second row, we have 3 = -3, which has no solution. Therefore, there are no values of k that satisfy the given equation. This means that the equation [1 1 0] [k] [k 1 1] [1 0 2] [1] = 0 [0 2 -3] [1] has no solution.
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Find the Domain and Range, then graph the relation.
{(-3,5), (-2,3), (0,1), (2,3), (3,5)}