The value of x in the intersecting chords that extend outside circle is 5
Calculating the value of xFrom the question, we have the following parameters that can be used in our computation:
intersecting chords that extend outside circle
Using the theorem of intersecting chords, we have
4 * (x + 6 + 4) = 6 * (x - 1 + 6)
Evaluate the like terms
So, we have
4 * (x + 10) = 6 * (x + 5)
Using a graphing tool, we have
x = 5
Hence. the value of x is 5
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Solve for x.
9x+4≤58 or 16x−2>3
x 30
x 30
Answer:
x ≤ 6
Step-by-step explanation:
Hope this helps!
Mr. Lozano's office has nine rows of filing cabinets with nine cabinets in each row. Mrs. Jackson's office has six rows of cabinets with 12 cabinets in each row. How many more cabinets does Mr. Lozano have than Mrs. Jackson?
Answer:
Mr. Lozano has 9 cabinets more.
Step-by-step explanation:
Mr. Lozano's office has nine rows of filing cabinets with nine cabinets in each row.
So, the total cabinet in Mr. Lozano's office is: \(9 \times 9=81\)
Thus, the total number of cabinets in Mr. Lozano's office is 81.
Mrs. Jackson's office has six rows of cabinets with 12 cabinets in each row.
So, the total cabinet in Mrs. Jackson'soffice is: \(6 \times 12=72\)
Thus, the total number of cabinets in Mrs. Jackson's office is 72.
Now subtract 72 from 81 as Mr. Lozano's office has more cabinets.
\(81-72=9\)
Hence, Mr. Lozano has 9 cabinets more.
I need help with things ill give u points
Answer:
012
Step-by-step explanation:
please mark brainliest if correct
Which of the following is a set in correct set notation?(1,2,3){4,5,6} the letters of the alphabet 7,8,9
Answer: {4,5,6}
Step-by-step explanation: Sets could be explained as a representation of elements which could be numbers, alphabets or a collection of items which are wrapped inside a curly bracket {}. Generally in mathematical or statistical parlance, once elements are wrapped around curly braces, the collection of those emmts is called a set. And therefore, set arithmetic such as union, intersection, complement e.t.c can be performed on elements of the given set. Elements wrapped in curly braces signifies that the elements reperesents an entire entity.
In the question given above, {7,8,9} reperesents a set containing three elements : 7, 8,9.
Use the figure to find the measures of the numbered angles. The problem number 2. I’m just trying to make sure I’m doing these correctly.
Angle 2 and angle of 34° are vertical angles, then they are congruent, that is,
\(m\angle2=34\degree\)Angle 6 and angle of 34° are corresponding angles, then they are congruent, that is,
\(m\angle6=34\degree\)Angle 4 and angle of 34° are alternate interior angles, then they are congruent, that is,
\(m\angle4=34\degree\)Angle 7 and angle of 34° are same-side interior angles, then they are supplementary, that is,
\(\begin{gathered} m\angle7+34\degree=180\degree \\ m\angle7=180\degree-34\degree \\ m\angle7=146\degree \end{gathered}\)Angles 4 and 3 are same-side interior angles, then they are supplementary, that is,
\(\begin{gathered} m\angle4+m\angle3=180\degree \\ 34\degree+m\angle3=180\degree \\ m\angle3=180\degree-34\degree \\ m\angle3=146\degree \end{gathered}\)Angles 7 and 5 are vertical angles, then they are congruent, that is,
\(\begin{gathered} m\angle5=m\angle7 \\ m\angle5=146\degree \end{gathered}\)Angles 1 and 3 are vertical angles, then they are congruent, that is,
\(\begin{gathered} m\angle1=m\angle3 \\ m\angle1=146\degree \end{gathered}\)3. Simplify the following expressions (3-7). Multiply and remove all perfect squares inside the square roots. Assume y is positive. 615y4*220y2
4. 3729
5. 22516
6. 54x7
7. 2a*14a3*5a
8. (6-4* 8-7)-9
65*82
636*863
1613* 816
Answer:
---------------------------------------------
3 wall clocks chime every 10, 12, and 18 minutes. if they last chimed together at 1:00 pm, at what time will they chime together again?
Answer: hi :)
Step-by-step explanation: <3
i-90 is the longest freeway in the us, stretching from seattle to boston. how many miles is it? 2,481 3,021 4,371
The Interstate 90 freeway in the US is (D) 123.9 miles.
What is Interstate 90?In the US state of Illinois, I-90 travels through the northern region of the state roughly from northwest to southeast. It travels south to Rockford from the Wisconsin state line at South Beloit before turning east-southeast to reach the Indiana state line in Chicago. Before entering Indiana, I-90 travels 124 miles (200 km) through a range of landscapes, including farmland west of the Fox River Valley, medium-density suburbs west of O'Hare International Airport, Downtown Chicago, and the center of the industrial southeast side of Chicago. The Illinois Department of Transportation is responsible for maintaining the rest of the route (IDOT). The freeway has a total length of 123.9 miles.Therefore, the Interstate 90 freeway in the US is (D) 123.9 miles.
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Correct question:
i-90 is the longest freeway in the us, stretching from Seattle to Boston. how many miles is it?
a. 248.1
b. 302.1
c. 437.1
d. 123.9
i need help, hope you can help me quickly. thanks!
The function y=x²+5x-6 has a minimum value. All real numbers are included in the function's domain. The function has a range of y ≤ 12.25, the correct option is (c).
The parabola has a minimum value and widens upwards since the x² term's coefficient is positive.
To find the minimum value, we can use the formula for the x-coordinate of the vertex:
x=-b/2a=-5/(2 × 1)=-2.5.
Plugging this value into the equation, we get
y=(-2.5)²+5(-2.5)-6=-12.25.
Therefore, the function has a minimum value of -12.25.
The function is a polynomial, which means it is defined for all real numbers.
Since the function has a minimum value of -12.25, the range of the function is all real numbers less than or equal to -12.25, i.e., {y ≤ 12.25}.
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The complete question is:
Consider the equation y=x^(2)+5x-6. Determine whether the function has a maximum or minimum value. State the maximum or minimum value. What are the domain and range of the function
a. minimum; 0; D: (all real numbers); R: {all real numbers}
b. maximum; 0; D (all real numbers); R: {y <-0}
c. minimum; -12.25; D (all real numbers); R: {y <-12.25}
d. maximum; -12.25; D {x <- 2.5}; R: {all real numbers}
What is an equation of the line that passes through the points (-3,-1) and (6,2)?
Answer:
\(y=\frac{1}{3}x\)
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
\(m=\frac{y_2-y_1}{x_2-x_1}\) where two points the line passes through are \((x_1,y_1)\) and \((x_2,y_2)\)
Plug in the given points (-3,-1) and (6,2)
\(=\frac{2-(-1)}{6-(-3)}\\=\frac{2+1}{6+3}\\=\frac{3}{9}\\=\frac{1}{3}\)
Therefore, the slope of the line is \(\frac{1}{3}\). Plug this into \(y=mx+b\):
\(y=\frac{1}{3}x+b\)
2) Determine the y-intercept (b)
\(y=\frac{1}{3}x+b\)
Plug in one of the given points and solve for b
\(2=\frac{1}{3}(6)+b\\2=2+b\)
Subtract 2 from both sides to isolate b
\(2-2=2+b-2\\0=b\)
Therefore, the y-intercept is equal to 0. Plug this back into \(y=\frac{1}{3}x+b\):
\(y=\frac{1}{3}x+0\\y=\frac{1}{3}x\)
I hope this helps!
Given the following piecewise function, evaluate limx→−1f(x).
f(x)=
2x^2−3x−2 if x is less than or equal to -1
−x^2+2x+1 if -1
−2x^2−x−1 if x>2
The solution of the expression will be 3, -2, and -22 respectively.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expressions are:-
2x²−3x−2 if x is less than or equal to -1
E = 2x²−3x−2
E = 2 (-1) ² - 3 x -1 -2
E = 2 + 3 - 2
E = 3
E = −x²+2x+1 if -1
E = -(-1)² + 2 x -1 + 1
E = -1 - 2 + 1
E = -2
E = −2x²−x−1
E = -2 ( 3 )² - 3 - 1
E = -18 - 3 - 1
E = -22
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(x+2)(x+6)=0
In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the:
multiplication property
division praperty
zero product property
transitive property
The simplest form of 80 can be written as
aVb, where a =
and b =
Answer: The expression that is equivalent to root of 80 is B and a=4 b=5
Step-by-step explanation: Happy early Christmas guys :) giving away 100 points soon for whoever comments on my " question'' first stay tuned!
Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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PLS HELPPPPP!!! IM CONFUSED!!! THE ANSWER OPTIONS ARE IN THE PICTURE!!
Which number best represents the slope of the graphed line?
Answer:
-5
Step-by-step explanation:
We can see two points that the line intersects:
(0,2) and (1,-3)
‘From that we can find the slope:
\(\frac{y_2-y_1}{x_2-x_1} = \frac{-3-2}{1-0} = \frac{-5}{1} = -5\)
So, A.
:)
Answer:
-5
Step-by-step explanation:
Fast and loose: it's a negative number, since the line is decreasing, and it's decreasing faster than the diagonal of the II-IV quadrant (y=-x) so it's a number less than -1. Slope it's thus -5 or close to it.
More rigorous: start counting the squares. A slope of \(\frac ab\) tells you that every time you move vertically by a squares, you moved horizontally by b squares. Here to advance from 0 to 1 you went down from 2 to -3, ie you subtracted 5. Slope is -5
what is the slope and y-intercept of the line represented by 3x=15
Answer:
The slope is undefined and there is no y- intercept
Step-by-step explanation:
The line is equivelent to x=5
This is a vertical line so the slope is undefined and there is no y- intercept
Answer:
Slope: 0
Y-intercept: 5
Step-by-step explanation:
First, you need to move the equation into slope-intercept form.
Divide both sides by 3.
x = 5
Since there is no number to the right of the y - intercept, we just assume that the slope is 0.
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Scores on an exam are normally distributed with a mean of 65 and a standard deviation of 9. Find the percent of the scores.
a) Less than 40
b) At least 72
c) Between 60 and 85
The percent of scores with the indicated ranges found using their z-scores and the z-table are as follows;
a) The percentage of scores less than 40 = 0.272%
b) Percentage of scores that are at least 72 = 21.77%
c) The percentage of scores that are between 60 and 85 = 69.905%
What is a z-score?A z-score is an indication of the location of a score on the normal distribution curve.
The distribution of the scores on the exam = Normal distribution
The mean of the scores, μ = 65
The standard deviation, σ = 9
a) The z-score can be found by using the formula;
\(z = \dfrac{x - \mu}{\sigma}\)
Which indicates that when x = 40 we get;
\(z = \dfrac{40 - 65}{9}\approx -2.\overline 7\)
The z-score table indicates that the proportion of the data that have a z-score of -2.\(\overline 7\) is 0.00272, which is 100 × 0.00272 = 0.272%b) The percentage of scores that are at least 72, consists of scores that are from 72 and above;
The z-score of 72 is found as follows;
\(z = \dfrac{72 - 65}{9} =0.\overline 7\)
From the z-score table, we get;
p(z ≥ 0.\(\overline 7\)) = 1 - p(z ≤ 0.\(\overline 7\)) = 1 - 0.78230 = 0.2177
The percentage of scores that are at least 72 = 100 × 0.2177 = 21.77%c) The percentage of scares that are between 60 and 80 is found as follows;
The required percentage is; p(60 ≤ x ≤ 85)
The z-score of 60 is; \(z = \dfrac{60 - 65}{9} = -0.\overline 5\)
The values to the left of the z-score for 60 from the z-table is therefore p(z ≤ -0.\(\overline 5\)) = 0.28774
The z-score of 85 is; \(z = \dfrac{85 - 65}{9} = 2.\overline 2\)
From the z-table, we get p(z ≤ 2.\(\overline 2\)) = 0.98679
The required values, p(60 ≤ x ≤ 85) = 0.98679 - 0.28774 = 0.69905, which indicates that the percentage of scores that are between 60 and 85 is 100 × 0.69905 = 69.905%Learn more the z-table here:
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X=3816371/(27×63) solve for x
Answer:
X = 14,700
Step-by-step explanation:
you can use a calculator to get the x.
X=3816371/(27×63)
Amelia bought a violin that had a regular price of $150 and was marked down 20%. How much did Amelia pay for the violin?
hurry pleasee
Answer:
$120
Step-by-step explanation:
Special Right Triangles!
Pleaseeee helppp!
Answer:
Refer to the attached images.
Step-by-step explanation:
A special right triangle is a right triangle that has some unique properties regarding its side lengths and angles. There are two common types of special right triangles: the 45-45-90 triangle and the 30-60-90 triangle. Simple formulas exist for special right triangles that make them easier to do some calculations.
To find all the side lengths of a special right triangle:
Identify the type of special right triangle (e.g., 45-45-90 or 30-60-90).If you know the length of one side, use the corresponding ratio to find the other side lengths.If you know the length of the hypotenuse, apply the appropriate ratio to determine the lengths of the other sides.Use the formulas specific to each type of special right triangle to calculate the side lengths based on the given information.Verify the results by checking if the side length ratios hold true for the specific type of special right triangle.Remember that in a 45-45-90 triangle, the side lengths are typically x, x, x√2 (where x is the length of one of the legs), while in a 30-60-90 triangle, the side lengths follow the ratios x, x√3, 2x (where x is the length of the shorter leg).As you can see in the images, I like to use a table.\(\hrulefill\)
Refer to the attached images.
20% deposit
5 years to pay
Monthly instalment
R6475,00
how much will he pay after 5 years?
Answer:
R12,950.00
Step-by-step explanation:
We solve using the formula
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 20%/100 = 0.2 per year.
Solving our equation:
A = 6475(1 + (0.2 × 5)) = 12950
A = R12,950.00
Therefore, the amount he will pay after 5 years is R12,950.00
Find the next two terms in this
sequence.
50, 40, 31, 23, 16, | ? ],[?]
Answer:
8, 0
Step-by-step explanation:
HELP!
Estimate 63% of 109.
6.6
88.2
66
91.3
Answer:
66
Step-by-step explanation:
63% of 109 is 68.67 the closest answer is 66
in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent. candidate a argues that this would increase tax revenues, enabling the state to maintain essential services. candidate b argues that the tax would hurt retailers and consumers, slowing down the economy so much that it would decrease tax revenues too. what assumptions must the candidates be making in order to justify their position?
in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent, so candidate a assumes that the price effect would be larger than the quantity effect.
What is general sales tax?When a tax is added on a good or service at the point of sale and is financed by the client, it is known as general sales tax. The store is then obligated to transmit, or remit, the tax to the government.
Candidate a contends that revenue will rise along with the sales tax as it rises from 5 to 7 percent. This suggests that the price impact is greater than the quantity effect since, when the tax is raised, the price would rise and the quantity would fall. As a result, the tax revenue would only rise if the price effect is more than the quantity effect.
Additionally, Candidate b claims that the tax will harm consumers and merchants, slow the economy, and reduce tax revenue. However, this claim can only be supported if the quantity effect outweighs the price effect.
Candidate a assumes that the price effect would be larger than the quantity effect.
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a square with an area of 144 cm² is reduced by a factor of 1/3 how long are the new sides of the square?
Answer:
4 cm
Step-by-step explanation:
The square root of 144 is 12 (12 x 12 = 144) so we know our sides of the square are 12 cm²
12 / 3 = 4
(\(\frac{12}{1} x \frac{1}{3}\))
The sides of the new square are 4 :)
Hope this helps and is correct, have a nice day! :D
if Angle 1 is 35 degrees, what is angle 2? Please help me
Answer:A = angle 1 and B = angle 2
A + B = 90
B = 2A - 15
Substitute
A + 2A -15 = 90
Collect and add 15 to each side
3A = 105 => A = 35 and then B = 55
Step-by-step explanation:
Is this relation a function? Justify your answer.
Answer:
Can't see the problem. Send a picture of it.
What is the WACC for Snuggly Baby Corp. if the tax rate is 24.00% and the firm has 6,130,000.00 shares of common equity priced at $16.00 each with an expected return of 20.18% and an expected real return of 14.61%; 1,006,000.00 shares of preferred equity priced at $30.00 each with an expected return of 16.34% and an expected real return of 11.16%; and 81,400.00 bonds that are priced at $925.00 each, and have a current yield of 11.22%, a yield-to-maturity of 12.36%, and a coupon rate of 10.38%
The Weighted Average Cost of Capital (WACC) for Snuggly Baby Corp. is calculated based on the company's capital structure, including common equity, preferred equity, and bonds. The WACC is influenced by the expected returns and prices of these securities.
To calculate the WACC, we need to determine the proportion of each component in the capital structure and multiply it by its respective cost of capital.
For Snuggly Baby Corp., the capital structure consists of 6,130,000 shares of common equity, 1,006,000 shares of preferred equity, and 81,400 bonds.
The cost of common equity is calculated using the expected return and the price of the shares. Similarly, the cost of preferred equity is calculated using the expected return and the price of the preferred shares. The cost of debt, represented by the bonds, is calculated using the yield-to-maturity.
Once we have the costs of each component, we multiply them by their respective proportions in the capital structure and sum them up to determine the overall WACC. Please note that to provide an accurate calculation of the WACC, additional information is required, such as the market value of each component and the weights assigned to them in the capital structure. Without this information, it is not possible to provide an exact WACC calculation.
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find the exact length of the curve. x = 5 12t2, y = 3 8t3, 0 ≤ t ≤ 3
To find the exact length of the curve defined by the parametric equations x = 5t^2 and y = 3t^3, where 0 ≤ t ≤ 3, we can use the arc length formula for parametric curves.
The arc length formula for a parametric curve defined by x = f(t) and y = g(t) over the interval [a, b] is given by:
L = ∫[a,b] √[ (dx/dt)^2 + (dy/dt)^2 ] dt
In this case, we have x = 5t^2 and y = 3t^3, with the parameter t ranging from 0 to 3.
First, we need to find the derivatives of x and y with respect to t:
dx/dt = d/dt (5t^2) = 10t
dy/dt = d/dt (3t^3) = 9t^2
Next, we substitute these derivatives into the arc length formula:
L = ∫[0,3] √[ (10t)^2 + (9t^2)^2 ] dt
L = ∫[0,3] √(100t^2 + 81t^4) dt
Now, we can integrate the expression inside the square root with respect to t:
L = ∫[0,3] √(100t^2 + 81t^4) dt
L = ∫[0,3] t√(100 + 81t^2) dt
Unfortunately, this integral does not have a simple closed-form solution. We would need to evaluate it numerically using numerical integration techniques or computer software.
So, the exact length of the curve cannot be determined algebraically. However, it can be approximated using numerical methods.
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solve the equation by graphing
2x^2+4x=70
Answer:
Step-by-step explanation:
Please give brainliest if this helped:)