Answer:
Step-by-step explanation:
(4+8/2)*5-1
8*5-1
39 is your answer
An observer (o) spots a plane (p) taking off from a local airport and flying at a 29° angle horizontal to her line of sight and located directly above a tower (t). the observer also notices a bird (b) circling directly above her. if the distance from the plane (p) to the tower (t) is 6,000 feet, how far is the bird (b) from the plane (p)? round to the nearest whole number. two parallel lines bp and ot with a transversal running through p and o. dotted red line from p to t and from b to o. angle pot is 29 degrees. the length of pt is 6000. the length of bp is x. 6,857 feet 10,824 feet 12,371 feet 22,063 feet
The distance between the bird and the aircraft is 10824 feet.
What is right angled triangle?Any triangle with one angle at a right angle or two perpendicular sides is referred to as a right triangle, right-angled triangle, orthogonal triangle, or more formally, a rectangle triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.
What is Tangent?The straight line that "just touches" the curve at a certain point is known as the tangent line to a plane curve. It was described by Leibniz as the line connecting two points on the curve that are endlessly near to one another.
According to the given information:Angle of elevation = 29°
Length of plane to the tower = 6000 feet
So, it forms a right angled triangle.
So, we will use "Tangent":
tan29° = AB/CB
.55 = 6000/CB
CB = 6000/0.55
CB = 10824ft
Consider, ΔABC,
Hence, The distance between the bird and the aircraft is 10824 feet.
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The
is the z-score right at the edge of the rejection region.
A. Critical value
B.crucial value
C. Critical region
D.vital statistics
The critical value is the z-score right at the edge of the rejection region option (A) is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
It is given that:
The z-score is right at the edge of the rejection region.
As we know, the rejection zone is the area in which we have sufficient data to reject the null hypothesis if our test statistic falls within it.
Thus, the critical value is the z-score right at the edge of the rejection region option (A) is correct.
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Given f(x) = 3x - 5 which statement is true? Explain how.
(1) f(0) = 0
(2) f(3) = 4
(3) f(4) = 3
(4) f(5) = 0
Answer:
(2)
Step-by-step explanation:
by substituting the values of x into f(x) and evaluating
f(0) = 3(0) - 5 = 0 - 5 = - 5 ≠ 0
f(3) = 3(3) - 5 = 9 - 5 = 4 ← True
f(4) = 3(4) - 5 = 12 - 5 = 7 ≠ 3
f(5) = 3(5) - 5 = 15 - 5 = 10 ≠ 0
Hence, statement 2 is true for the equation f(x) = 3x-5
What is equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Types of Equations:
Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.
Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.
Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.
Substituting the values of x into f(x) and evaluating
f(x) = 3x - 5
put x = 0
f(0) = 3(0) - 5
= 0 - 5 = - 5
put x = 3
f(3) = 3(3) - 5
= 9 - 5
= 4
put x = 4
f(4) = 3(4) - 5
= 12 - 5
= 7
put x = 5
f(5) = 3(5) - 5
= 15 - 5
= 10
hence statement 2 is true.
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In using the multiple regression method, we can model the effects of the different levels of a qualitative independent variable by using a(n) ____________
For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.
According to the statement
we have given that the by which method we use the different levels of a qualitative independent variable and we have to explain about it.
So, For his purpose, we know that the
A dummy variable is a variable that takes values of 0 and 1, where the values indicate the presence or absence of something.
And in the multiple regression method there are a lot of different variables which are used for a qualitative and for this a variable is used which is called the dummy variables.
By this variables we show the analysis between the given data. it gives the output in the 0 and 1 numbers.
So, For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.
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Please help with this question on a acellus thanks!
Using the law of sines, it is found that the measure of angle x is given as follows:
x = 69.9º.
What is the law of sines?Suppose we have a triangle in which:
The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.The lengths and the sine of the angles are related as follows:
sin(A)/A = sin(B)/B = sin(C)/C
Considering the given triangle, the following relation can be established:
sin(x)/11 = sin(28º)/x
Hence, applying cross multiplication:
sin(x) = 2sin(28º)
sin(x) = 0.938943126
x = arcsin(0.938943126)
x = 69.9º.
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18
An open-faced box is to be constructed by cutting squares out of the corners of a 7in by 7in
sheet of tin and folding up the sides. Which of the following describes the surface area of such
a box? (Let h represent the side length of the cut out squares. * (5 Points)
O The surface area of the box is given by (7 - 2h)² + 4h (7-2h) in².
The surface area of the box is given by 2(7 - 2h)² + 4h² in².
O The surface area of the box is given by h(7 - 2h)² in².
O The surface area of the box is given by 4(7-2h)² + h² in².
O I don't know.
Answer:
a
Step-by-step explanation:
S.A for open-faced box= lb + 2(bh+lh)
= (7-2h)(7-2h) + 2[h(7-2h)+h(7-2h)]
= (7-2h)² + 2[2h(7-2h)]
= (7-2h)² + 4h(7-2h) in²
Charles is 20% heavier than Edith. If Charles weighs 60kg, what is Edith's weight?
Charles' weight = Edith's weight + 20% of Edith's weight
We'll use a variable to represent Edith's weight, x.
The decimal form of 20% is 0.2.
60 = x + 0.2x
60 = 1.2x
x = 50
Edith's weight is 50kg.
Hope this helps!
What is the product of –3 and 5?
if g(x)=4x^2-16 were shifted 9 units to the right and 1 down, what would the new equation be?
The answer is g'(x) = 4x² - 72x + 307.
If shifted 9 units right, substitute (x - 9) in place of x.
g'(x) = 4(x - 9)² - 16If shifted 1 unit down afterwards, subtract 1.
g'(x) = 4(x - 9)² - 16 - 1g'(x) = 4(x - 9)² - 17g'(x) = 4x² - 72x + 324 - 17g'(x) = 4x² - 72x + 307Answer:
h(x)=4(x-9)^2-17
Step-by-step explanation:
8 out of 10 people saw the show
Answer: 80% of the 10 people saw the show.
Step-by-step explanation:
8/10 = 0.8, which is 80%.
I hope this helped!
What are the domain and range of g of x equals the square root of the quantity x plus 4?
It is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).
What are the domain and range of a function?The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.To find the domain and range:
The given function in the problem is: [tex]g(x)=\sqrt{x+4}[/tex]Because the square root function does not exist for negative numbers, the domain is denoted by: [tex]x+4[/tex] ≥ [tex]0[/tex] → [tex]x[/tex] ≥ [tex]-4[/tex]Therefore, it is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).The range of the square root function is [tex]x[/tex] ≥ [tex]0[/tex], which remains the same as there are no vertical translations.Therefore, it is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).
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The complete question is given below:
What are the domain and range of g of x equals the square root of the quantity x plus 4?
(A) D: [4, ∞) and R: [0, ∞)
(B) D: (–4, ∞) and R: (–∞, 0)
(C) D: [–4, ∞) and R: [0, ∞)
(D) D: (4, ∞) and R: (–∞, 0)
I offer to give you $40 if you can flip a coin and have it land on heads 2 times in a row. If you get tails, you have to pay me $10. What is the probability that you will win this bet
Answer:
25%
Step-by-step explanation:
Each flip has a 50% probability of landing heads. Two in a row would be (50%)*(50%) = 25%
[Note: 25% of $40 is $10]. Don't waste your time.
Gwen and $660 per week and has 18% of this amount withheld for taxes Social Security and Medicare find amount withheld
A rhombus is a four-sided figure with all sides the same length.
Points F(22, 22), G(22, 3), and H(2, 6) are three vertices of
rhombus FGHJ. Vertex J is directly below vertex H.
a. Graph rhombus FGHJ. Label J with its coordinates.
b. What is the perimeter of the rhombus? Show your work.
The perimeter of the rhombus FGHJ is 20 units
How to graph the rhombusThe coordinates are given as:
F = (-2, -2)
G = (-2, 3)
H = (2, 6)
From the question, we understand that vertex J is directly below vertex H.
This means that vertices H and J have the same x coordinate.
So, we have
J = (2, y)
The distance between F and G is 5 units,
So, we have
J = (2, y - 5)
Where
y = 6 i.e. the y coordinate of H
This gives
J = (2, 6 - 5)
Evaluate
J = (2, 1)
See attachment for the graph of the rhombus
The perimeterIn (a), we have:
The distance between F and G is 5 units,
This means that
FG = 5
The side lengths of a rhombus are equal.
So, the perimeter is
P = 4 * FG
This gives
P =4 * 5
Evaluate
P = 20
Hence, the perimeter of the rhombus is 20 units
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Last one for the night lol thanks again
Answer:
[tex]BC=24[/tex]
Step-by-step explanation:
We know that in an isosceles triangle if two angles are congruent then the opposite sides of the angle must also be congruent.
Therefore [tex]AC=AB[/tex]
Then we can create an equation and solve for x
[tex]x+8=2x-1\\x+9=2x\\9=x[/tex]
Now that we have x we just need to substitute it for [tex]BC[/tex]
[tex]BC=3x-3\\BC=3(9)-3\\BC=27-3\\BC=24[/tex]
HELP ASAp!!! Will give brainlest. Find all solutions of the equation in the interval
Answer:
7/6π, 1/6π
Step-by-step explanation:
We know that tan is sine/cosine, so cot is cosine/sine.
In this case, we know cotθ = √3
As the number is positive, using the unit circle, we now can say that the two solutions are in quadrants I and III.
Taking a look at the unit circle, we can finalize our answer.
Write down the coordinates of the image of the point (2-3) under reflecting about the line joining the points (3, 5) and (3,7)
Answer:
(4 , -3)
Step-by-step explanation:
the points (3 , 5) and (3 , 7) have the same x-coordinates 3
then ,the line D joining them has the equation
D : x = 3
the image of the point A(2 , -3) under reflecting about The line D ,
lie on the line ∆ perpendicular to D and passes through A.
∆ perpendicular to D then the equation of ∆ is :
∆ : y = a ,where a is a real number.
Calculating ‘a’ :
∆ passes through A
Then
-3 = a
Therefore
the final equation of ∆ is :
∆ : y = -3
Obviously, the lines D and ∆ intersect at the point M(3 , -3)
FINAL STEP :
Calculating the coordinates of the point B(x , y) image of the point A(2 , -3)
M is the midpoint of the line segment AB :
Then
3 = (2 + x)/2 and -3 = (-3 + y)/2
Then
x = 4 and y = -3.
Statistical analyses are least likely to be found in a. applied research b. basic research c. field research d. qualitative research
Statistical analyses are least likely to be found in a (D) qualitative research.
What is qualitative research?Data from first-hand observation, interviews, questionnaires (on which participants write descriptively), focus groups, participant-observation, recordings recorded in natural settings, documents, case studies, and artifacts are used in qualitative research. The information is mostly nonnumerical. Ethnography, grounded theory, discourse analysis, and interpretative phenomenological analysis are examples of qualitative approaches. Sociology, anthropology, political science, psychology, social work, and educational research have all used qualitative research methods. Qualitative researchers investigate people's perceptions of their social reality.A qualitative study is unlikely to contain statistical analyses.Therefore, statistical analyses are least likely to be found in a (D) qualitative research.
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Wynn is 24 years old and has decided to reduce the number of cups of coffee he buys by 2 cups per day. One cup of coffee typically costs $2.50. Assuming 30 days in a month, if he chooses to invest this money at the end of every 6 months into an investment paying 5.50% compounded semi-annually, how much will he have when he turns 69?
The total amount he would have at 69 is $343,347.81.
What is the total amount saved?The formula that can be used to determine the future value of the deferred annuity is:
Future value = annuity factor x monthly deposit
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 5.5 /2 = 2.75%n = number of payments = 2 x (69 - 24) = 90Amount he would save every 6 months:
amount saved per day = $2.50 x 2 = $5Amount saved per month : $5 x 30 = $150 Amount saved every 6 months = $150 x 6 = $900Future value : 900 x {[(1.0275^90) - 1] / 0.275}= $343,347.81
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sketch the graph: y=1/3x+2
The slope of the line is 1/3and the y-intercept is at the (0, 2) as shown in the graph below.
Graph of a linear functionA linear function is a function that has a leading degree of 1. The standard equation for a linear function is expressed as:
y = mx + b
where
m is the slope which is equal to the rate of change of y coordinate to x-coordinates.
b is the y-intercept
Given the following equation
y= 1/3x + 2
The slope of the line is 1/3 and the y-intercept is at the(0,2) as shown in the graph below.
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Of the songs in ivan's music library, 4/5 are rock songs. of the rock songs, 3/4 feature a guitar solo. what fraction of the songs in ivan's music library are rock songs that feature a guitar solo?
In this case this "of" means we will multiply the two fractions "4/5 × 3/4" exists 3/5.
What are fractions?That operation exists utilized to 'simplify' a fraction (reduce it to lower terms).
When there exists no number that goes into both the top and bottom numbers, then the fraction is in simplest form (lowest terms).
We are looking for 4/5 of 3/4. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply
top × top and bottom × bottom
4/5 × 3/4 exists 4 × 3 on top and 5 × 4 on the bottom.
= (4 × 3)/(5 × 4)
= 12 / 20
= 3 / 5
Therefore, the correct answer is 3/5.
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3
OYes
O No
Is the following relation a function? (1 point)
x y
1 4
-1 -2
3 10
5 16
Answer: Yes
Step-by-step explanation:
Each value of y maps onto one value of x.
A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible?
Answer: 6,760,000
Step-by-Step Explanation:
9 m
Not drawn to scale
Find the volume of the triangular prism.
6 m
6m
Answer:
162 m³Step-by-step explanation:
Volume of the prism is the product of the area of the base and the height of prism.
First, we need to find the area of its triangular base:
A = bh/2 = 9*6/2 = 27 m²Now we can find the volume:
V = 27*6 = 162 m³Area of base
1/2BH1/2(9)(6)9(3)27m²Volume
Area of base×Height27(6)162m³59. In the given figure, O is the centre of circle, XY || BC, what is the value of x?
The value of x is 25 degrees if XY is parallel to the BC option (b) 25 degrees is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
A circle is given:
XY ║ BC
x = angle XYB
When two lines or rays converge at the same point, the measurement between them is called an "Angle."
Angle BAX = Angle XYB
In triangle AXY, Angle XAY = 90 degrees
Angle BAX = 90 - Angle BAY
x = Angle BAX = 90 - 65
x = 25 degrees
Thus, the value of x is 25 degrees if XY is parallel to the BC option (b) 25 degrees is correct.
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Ida's rent increased by 5%. the increase was $59. what was the original amount of ida's rent?
The original amount of ida's rent is $56.
How do you find the original price after an increase?First consider the unknown original amount as 'x'. To find the increase or decrease, multiply the rate by the original amount 'x'. To find the final amount, add or subtract the increase or decrease to the original amount 'x' and equate this to given final amount. Solve the equation and find the original amount 'x'.
Let the original amount be x. This amount increase by 5% after increasing the amount is $59.
[tex]x+x(\frac{5}{100})=59\\\\[/tex]
[tex]x+x(\frac{1}{20})=59\\\\[/tex]
[tex]\frac{21x}{20}[/tex] = 59
x = $56.19
Hence, The original amount be x =$56.19.
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A square of sides 6cm has been removed from regular pentagon of sides 12cm. Calculate the perimeter of the shape
The perimeter of the shape is 52 cm
How to determine the perimeter of the shape?The shape is given as:
Regular pentagon
The length of the sides are
Length = 12 cm
So, the perimeter of the regular pentagon is
P = 5* Length
This gives
P = 5 * 12cm
Evaluate
P = 60 cm
When the square of sides 6cm is removed from the regular pentagon, the perimeter becomes
P = 60cm - 6cm
Evaluate the difference
P =52 cm
Hence, the perimeter of the shape is 52 cm
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WS=
Help me please thanks so much :) I appreciate it
Answer:
Step-by-step explanation:
3 units
Answer:
3 units.
Step-by-step explanation:
Opposite sides of a parallelogram are equal in length,
So side OD = side WS.
We see from the diagram that OD is 3 units long so
WS = 3 also.
Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12, -4, 6}
The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.
How to determine the range of a function?Given: 12x + 6y = 24
Here x stands for the input and y stands for the output
Replacing y with f(x)
12x + 6f(x) = 24
6f(x) = 24 - 12x
f(x) = (24 - 12x)/6
Domain = {-4, 0, 5}
Put the elements of the domain, one by one, to estimate the range
f(-4) = (24 - 12((-4))/6
= (72)/6 = 12
f(0) = (24 - 12(0)/6
= (24)/6 = 4
f(5) = (24 - 12(5)/6
= (-36)/6 = -6
The range exists {12, 4, -6}
Therefore, the correct answer is option c. {12, 4, -6}.
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The youth group is going on a trip to the State Fair trip cost 63 dollars included in that price is 13 dollars for a concert ticket in the cost of 2 passes, one for the rides and one for the game booth. Each of the passes cost the same price, write an equation representing the cost of the trip, and determine the price of one pass, solve your equation by showing your work and steps.
Answer:
The cost of one pass is 25$
Step-by-step explanation:
Call the cost of one of the passes, P. So we have
63 = 13 + 2P - subtract 13 from both sides
50 = 2P - divide both sides by 2
25 = P
So the cost of one pass = $25
