Answer:a
Step-by-step explanation:
A 21 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground if 14 foot from the base of the building. How high up the wall does the ladder reach
Answer:
15.65 foot
Step-by-step explanation:
Pythagoras theorem can be used
a² + b² = c²
a being 14
b being unknown ( x )
c being 21
hence,
14² + x² = 21²
196 + x² = 441
x = √245
= 15.65 foot (answer)
What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form
Step-by-step explanation:
Slope-intercept form: y = mx + b
Step 1: Find the slope.Solve for \(\frac{y2-y1}{x2-x1}\)
\(y2-y1 = \frac{11}{12} -\frac{19}{20}\)
\(x2-x1 = \frac{1}{3} -\frac{2}{5}\)
To solve for the fractions you need a common denominator.
\(y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}\)
\(x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}\)
To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).
\(\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}\)
Step 2: Plug slope and a point into y=mx+b to solve for b.\(\frac{11}{12}\) = (\(\frac{1}{2}\))*(\(\frac{1}{3}\))+b
\(\frac{11}{12}\) = (\(\frac{1}{6}\))+b
\(\frac{11}{12}-\frac{1}{6}\) = b
\(\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75\)
b = .75
y = \(\frac{1}{2}+.75\)
Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r=2−sinθ,θ=π/3 [-/1 Points] SESSCALCET2 9.3.050. Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r=cos(θ/3),θ=π
The slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3 is √3.
To find the slope of the tangent line, we need to convert the polar equation to Cartesian coordinates. The conversion formulas are:
x = r * cos(θ)
y = r * sin(θ)
For the given polar curve r = 2 - sin(θ), substituting these formulas, we get:
x = (2 - sin(θ)) * cos(θ)
y = (2 - sin(θ)) * sin(θ)
To find the slope of the tangent line at θ = π/3, we need to differentiate both x and y with respect to θ and then calculate dy/dx.
dx/dθ = -(2 - sin(θ)) * sin(θ) - cos(θ) * cos(θ)
dy/dθ = (2 - sin(θ)) * cos(θ) - sin(θ) * cos(θ)
Now, we substitute θ = π/3 into these expressions:
dx/dθ = -(2 - sin(π/3)) * sin(π/3) - cos(π/3) * cos(π/3)
dy/dθ = (2 - sin(π/3)) * cos(π/3) - sin(π/3) * cos(π/3)
After evaluating these expressions, we can calculate dy/dx to find the slope of the tangent line at θ = π/3, which is √3.
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A factor divides evenly into another number without a ________ left over.
Answer: remainder
Step-by-step explanation:
cos^2x sin^4x lowering powers
The simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.
The expression cos^2x sin^4x can be simplified by using the trigonometric identity that states sin^2x + cos^2x = 1.
We can rewrite cos^2x sin^4x as cos^2x (sin^2x)^2. Then, using the trigonometric identity sin^2x + cos^2x = 1, we can substitute (1 - cos^2x) for sin^2x.
This gives us cos^2x (1 - cos^2x)^2, which can be expanded using the binomial theorem to give cos^2x (1 - 2cos^2x + cos^4x).
Finally, we can simplify this expression further by distributing the cos^2x term and collecting like terms to get cos^2x - 2cos^4x + cos^6x.
Therefore, the simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.
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You have just signed up for a broadband home internet service that uses coaxial cable. which connector type will you most likely use?
Answer:
F type connector
Step-by-step explanation:
Use an F-type connector for broadband cable connections that use coaxial cable.
The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,
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F type connector
The F-connector is a coaxial RF connector commonly used for "wireless" terrestrial television, cable television, and common for satellite television and cable modems, usually with RG-6/U cable or with RG -59 / U.F connector is also known as threaded connector. There are two main types: 7mm (6.8mm) is the most common and used in coaxial cable, and 5mm connector is used in thin coaxial cable commonly used in satellite system.
The F-connector is an accessory that connects a coaxial cable to an electronic device or wall outlet.
Type F connectors are highly mechanical and electrically stable coaxial screw connectors for cable television (CATV), set-top boxes, cable modems and satellite television applications up to 4 GHz
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please answer algebra question I put it into a calculator and it didn’t work 4x-5=4(x-2)+3
Answer:
solving for X it would be (-infinity ♾️, +infinity ♾️) or all real numbers
Please answer this question, and happy valentines day!!
Answer:
The answer of that questions is B: 9
\(\left \{ {{y=3x+28} \atop {y=-4x}} \right.\)
Answer:
x = -4 and y = 16
Step-by-step explanation:
3x + 28 = -4x
28 = -4 x + -3x
28 = -7x
x = -4
To solve for y
y = -4 (-4)
y = 16
Hazel and Tom travel the same 18 km route.
Hazel starts at 9. 00 am and walks at a constant speed of 4. 8 km/h
Tom starts at 9. 39 am and runs at a constant speed.
Tom overtakes Hazel at 10. 15 am
At what time does Tom finish the route?
Answer:
11:27 am.
Step-by-step explanation:
The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked
1.25 * 4.8
= 6 km.
So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes
= 0.6 hrs.
So, Tom's speed is 6/0.6 = 10 km/hr.
,
and Tom will take 18/10 = 1.8 hours to finish the route,
= 1 hr 48 minutes
So he finishes the route at
9:39 + 1:48
= 11:27 am.
Could someone help me find the length of each segment and which statements are true?
Answer:
see explanation
Step-by-step explanation:
(a)
calculate the lengths using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )
JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)
= \(\sqrt{(3+3)^2+(-8+7)^2}\)
= \(\sqrt{6^2+(-1)^2}\)
= \(\sqrt{36+1}\)
= \(\sqrt{37}\)
repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )
MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)
= \(\sqrt{(-1)^2+(-6)^2}\)
= \(\sqrt{1+36}\)
= \(\sqrt{37}\)
repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )
PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)
= \(\sqrt{(-2+8)^2+1^2}\)
= \(\sqrt{6^2+1}\)
= \(\sqrt{36+1}\)
= \(\sqrt{37}\)
(b)
JK ≅ MN ← true
JK ≅ PQ ← true
MN ≅ PQ ← true
PLEASE HELP I WILL GIVE 50 POINTS THIS IS URGENT
The value of the variable x is 15 degrees
How to determine the value of the variableIt is important to note the properties of a parallelogram.
They include;
Opposite sides are equalThe diagonals bisect at right angleOpposite angles are equalInterior angles are supplementary to each otherFrom the information in the diagram show, we can say that;
3x + 45 = 90 degrees
Now, let's collect the like terms, we have;
3x = 90 - 45
subtract the values, we get;
3x = 45
Make 'x' the subject of formula
x = 15 degrees
Hence, the value is 15 degrees
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a. write down the regression formula that gets estimated when we perform a test for the stationarity of a time series variable y. what is the null hypothesis of this test? b. briefly describe the steps entailed in determining whether two variables are cointegrated.
The regression formula estimated when performing a test for the stationarity of a time series variable y is y(t) = α + β*t + ε(t).
a. The null hypothesis of this test is that the time series variable y is non-stationary, meaning it has a unit root.
b. To determine whether two variables are cointegrated, the following steps are typically involved:
1) Identify the two variables: Select two time series variables, denoted as X(t) and Y(t), that are suspected to be related in a long-run equilibrium.
2) Test for unit roots: Conduct unit root tests on both X(t) and Y(t) to determine if they are stationary.
3) Estimate the cointegration regression: If both variables are non-stationary, estimate the cointegration regression model, typically using methods like the Engle-Granger two-step procedure or the Johansen test. This regression model takes the form Y(t) = α + β*X(t) + ε(t).
4) Test for the presence of a cointegrating relationship: Perform hypothesis tests on the estimated coefficients to check if the β coefficient is significantly different from zero, indicating the presence of a cointegrating relationship.
5) Interpret the results: If the null hypothesis of no cointegration is rejected, it suggests that X(t) and Y(t) are cointegrated, meaning they have a long-run relationship.
Cointegration analysis is used to determine whether two variables move together over time, despite being non-stationary individually. It helps in understanding the long-run equilibrium relationship between variables and can be valuable in modeling and forecasting.
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What is 2/5 ÷ 1/10 = ?
3. the decision-making process a graduate student believes that people consider faces with more contrast between lip color and skin tone as more feminine. he identifies the null and alternative hypotheses as: h₀: the level of contrast between lip color and skin tone does not affect how feminine a face is considered. h₁: the level of contrast between lip color and skin tone affects how feminine a face is considered. he chooses a significance level of 0.05. after he collects the data and computes the sample statistics, it is time for him to make a decision about h₀. check the two possible decisions that the graduate student can make given his choices of h₀ and h₁. check all that apply. there is enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered. there is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. there is enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. there is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered. what decision should the graduate student make if the test statistic is not inside the critical region? the graduate student cannot reject the null hypothesis. the graduate student should reject the alternative hypothesis. the graduate student should reject the null hypothesis. suppose that the test statistic is 2.59 and the boundary to the critical region is 1.96. the test statistic is the critical region. therefore, the graduate student reject the null hypothesis, and he conclude that the level of contrast between lip color and skin tone affects how feminine a face is considered. you may use the distributions tool if you find it helpful.
The graduate student cannot reject the null hypothesis if the test statistic is not in the critical region, indicating insufficient evidence to conclude the effect of contrast on perceived femininity.
Based on the provided hypotheses and significance level, let's analyze the possible decisions the graduate student can make:
"There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered." - This decision would be made if the calculated test statistic falls into the critical region (beyond the critical value). This would lead to rejecting the null hypothesis and accepting the alternative hypothesis.
"There is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered." - This decision would be made if the calculated test statistic falls outside the critical region (within the non-critical region). In this case, there is insufficient evidence to reject the null hypothesis.
Given the scenario where the test statistic is not inside the critical region, the appropriate decision for the graduate student would be: "The graduate student cannot reject the null hypothesis." This means that based on the available data, there is not enough evidence to conclude that the level of contrast between lip color and skin tone affects how feminine a face is considered.
The statement regarding the test statistic and the boundary to the critical region seems incorrect. The test statistic of 2.59 exceeds the critical value of 1.96, indicating that it falls into the critical region. Therefore, the correct decision would be to "reject the null hypothesis" and conclude that the level of contrast between lip color and skin tone affects how feminine a face is considered.
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if the expression $(12-x)\div(3x)$ represents a non-negative integer, what is the largest possible integer value of $x$?
The largest possible value of the expression (12 - x)/3x is 3.
Expression
In algebra, expression is the combination of variables, numbers and constants.
Given,
Here we have the expression (12 - x)/3x.
Now we have to find the largest possible integer value.
As we have given in the question that the x takes only the non negative integer, then the values must be 1, 2, 3, ….
So, we have to apply the values on the given expression ,
Then we get the values,
=> x = 1 = > (12 - 1)/3(1) = 11/3 = 3.6
=> x = 2 => (12 - 2) / 3(2) = 10/6 = 1.6
=> x = 3 => (12 - 3) / 3(3) = 9/9 = 1
Therefore, the resulting value is 3.
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What are not exponential functions?.
It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.
Non-exponential form:
To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.
Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.
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Help please ASAP help please ASAP
Answer:
x = 3/4
Step-by-step explanation:
x/3 = 1/4
Using cross products
4x = 3
Divide each side by 4
4x/4 = 3/4
x = 3/4
A student randomly selected animal crackers from a large box of animal crackers. Below is the number of each animal the student selected. If the student were to select one animal cracker from the box, what is the probability of selecting a lion?
Answer:
if i knew the answer i would say it but i need it to
Step-by-step explanation:
7+2ax=13 solve for x.
Answer:
x = 3/a
Step-by-step explanation:
7 + 2ax = 13
2ax = 13 - 7
2ax = 6
ax = 6 / 2
ax = 3
x = 3/a
Hope it helps!
a cook wants to know what happens to bacon when it is fried in a frying pan versus microwaving it. specifically, the cook wonders if the bacon ends up moister and more flavorful when fried or when microwaved. what are the dependent variables
The dependent variables in the following scenario are whether the bacon becomes moister and more flavorful and the independent variable is the cooking method.
In statistics, a dependent variable is one whose value is determined by another set of variables called independent variables. To put it simply, the dependent variable is the thing that is being tested or calculated. The dependent variable is sometimes known as the "outcome variable." In the given scenario, the chef was curious as to whether or not frying or microwaving the bacon would produce a moister and more flavorful final product. The bacon is the result of the experiment, hence it is a dependent variable.
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Solve the equation. Check the solution.
a - 3.2 = 5.5
Answer:
the correct answer is 8.7
Answer:
8.7
Step-by-step explanation:
one way that works the best, since you have your unknown variable ( a ), you will have to move -3.2 over to the side where 5.5 is. after you do that, you have to add together the 3.2 and the 5.5 because whenever you do something like that, you have to do the opposite of that. hope that made sense!
A typical oak tree is 54 feet tall. if water moves through the tree at a rate of 0.4 inches/minute, how long will it take to send water to the top of the tree? quizlet
Answer:
1 620 minutes or 27 hrs
Step-by-step explanation:
look at attachment
find in centimeters the circumference of a circle with a diameter of 0.15 m give and exact answer in terms of pi
Answer:
15πcm
Step-by-step explanation:
2πr = circumference
radius = 0.075m = 7.5cm
Circumference = 7.5X2π
15π cm
d dianna are going to drive together to a nearby theme park. the car they are using has seats: driver seat, front passenger seat, and back passenger seat. bonnie and carlo are the only ones who know how to drive the car. how many possible seating arrangements are there?
There are 12 possible seating arrangement that Ali, Bonnie, Carlo, and Dianna can seat in a 4 seated car while visiting to a nearby theme park.
There are in total 4 people so the the possible seating arrangement should be 4! = 4*3*2 = 24.
But only 2 people know how to drive a car that is Bonnie and Carlo,
So the remaining seat can be occupied by any three that are remaining beside the driver.
So 3 remaining people can go in the front passenger seat.
There are 2 people who can go in the first back passenger seat.
The remaining person must go in the last seat.
Thus, there are 2x3x2 or 12 ways that they can be seated.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
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n - 22 = 4 what is the answer in verbal expression
Assume that when human resource managers are randomly selected, 43% say job applicants should follow up within two weeks. If 6 human resource managers are randomly selected, find the probability that at least 2 of them say job applicants should follow up within two weeks.
If 6 human resource managers are randomly selected, the probability that at least 2 of them say job applicants should follow up within two weeks is; 81.047%
How to solve Binomial Probability distribution problems?The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability
The general formula of binomial probability distribution is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
where;
p is probability of success
n is number of trials or sample size
x is number of successful trials
Thus, If 6 human resource managers are randomly selected, the probability that at least 2 of them say job applicants should follow up within two weeks is;
P(X ≥ 2) = 1 - (P(0) + P(1))
P(0) = ⁶C₀ * 0.43⁰ * (1 - 0.43)⁽⁶ ⁻ ⁰⁾ = 0.0343
P(1) = ⁶C₁ * 0.43¹ * (1 - 0.43)⁽⁶ ⁻ ¹⁾ = 0.15524
P(X ≥ 2) = 1 - (0.0343 + 0.15524)
P(X ≥ 2) = 0.81047 = 81.047%
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2. Use proportions to show whether the polygons ABCDE and PQRST are similar. Explain your answer.
The given polygons are not similar.
What is a polygon? What is a mathematical equation and expression?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain. The bounded plane region, the bounding circuit, or the two together, may be called a polygon. The segments of a polygonal circuit are called its edges or sides.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given are two polygons which are similar.
For the polygons to be similar, we can write -
AB/PQ = BC/QR = CD/RS = DE/ST = AE/PT
4/8 = 3/6 = 7/15 = 10/10 = 5/10
1/2 = 1/2 ≠ 7/15 ≠ 1 ≠ 1/2
Therefore, the given polygons are not similar.
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Using long division method, show that x+2 is a factor of x power 3 + 8
Using the long division method, it is proved that (x + 2) is a factor of (x³ + 8), because the result of the remainder is 0.
To show that (x + 2) is a factor of (x³ + 8) using long division, we can divide (x³ + 8) by (x + 2) and see if the remainder is 0. If the remainder is 0, then (x + 2) is a factor of (x³ + 8). Here's how the long division would look:
x² - 2x + 4
x+2 | x³ + 0x² + 0x + 8
- (x³ + 2x²)
--------------------
-2x² + 0x + 8
- (-2x² - 4x)
---------------
4x + 8
- (4x + 8)
--------
0
Since the remainder is 0, we can conclude that (x + 2) is a factor of (x³ + 8).
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help meeeee. what does x equal?
Answer:
\(x = 25 \degree \: (alternate \: interior \: angles)\)
Answer:
25 degrees because the angle right on the other side is also 25 degrees