The combined force they exert on the statue.
Explanation:
The cosine function is used to calculate the horizontal component of forces exerted by Nancy and Henry, to determine the horizontal component of the force exerted on the statue.
F Ficos01 + F₂cos02120 N x cos60° + 180 N x cos40° 120 N x 0.5+180 N x 0.766 197.88 N
Final Answer:
Hence, the total force on the statue is 197.8 N.
What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?
564
4⋅144
414
144
It may be 1^4 ............................
Social Studies 6
GUYS I DONT UNDERSTAND ONLINE SCHOOL And MY GRADES WENT DOWN
Answer: Your not alone!
Please help me and add an explanation!! Will mark brainliest!
Answer: Choice H
y = -2x+3
=========================================================
Explanation:
Start at any point you want on the diagonal line. Notice how we move down 2, right 1 to get to a neighboring point. This "down 2, right 1" motion determines the slope
rise = go down 2 unitsrun = go right 1 unitslope = rise/run = -2/1 = -2
So m = -2 is the slope
Another way to find the slope is to use the slope formula for any two points on that diagonal line.
The y intercept is 3 because this is where the diagonal line crosses the y axis. This means b = 3.
---------------------
To summarize, we found that m = -2 is the slope and b = 3 is the y intercept.
We go from y = mx+b to y = -2x+3
Solve.
Gavin's house is more than 5.4 miles from his school.
a Let x represent the distance, in miles, between Gavin's house and his school.
Write an inequality to represent the situation.
Inequality representing the situation is x>5.4
Inequalities DefinitionIn Algebra, an inequality is defined as mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has nonequal expressions on both sides. It signifies that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
"A connection is referred to an inequality if two real numbers or algebraic expressions are connected by the symbols ">," "," "," or "."
More than 5.4 miles separate Gavin's home from his school.
Let the number of miles that separate Gavin's home from his school= x
Inequality representing the situation
distance of Gavin's home and his school>5.4
x>5.4
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You are traveling in a car. Your speed is 50 miles per hour. What is your speed in feet per minute?
Answer:
4399.98 ft per min
Step-by-step explanation:
Divide 50 mi by 60 min = 0.83333Multiply this by 5280 = 4399.9824 ft per min1. EL precio a la venta de una impresora de inyección de tinta es de $285.000 incluida una Ganancia del 35%. ¿cuánto le cuesta a la tienda cada impresora?
Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.
¿Cómo encontrar el precio de una impresora sin ganancia?
En el enunciado tenemos el precio de una impresora para el consumidor, el cual comprende el dinero invertido por vendedor más la ganancia esperada. Este indicador observa la siguiente fórmula:
C' = C · (1 + r/100) (1)
Donde:
C - Coste asumido por el vendedor, en unidades monetarias.C' - Coste para el consumidor, en unidades monetarias.r - Tasa de ganancia, en porcentaje.Si sabemos que C' = $ 285.000 y r = 35 %, entonces el coste asumido por el vendedor es:
285.000 = 1,35 · C'
C' ≈ 211.111,11
Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.
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M is a directly proportional to r cubed when r=4 M=160
1) work out the value of M when r=2
2) work out the value of r when M=540
Answer:
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:
\(M = ar^3\)
In which a is a multiplier.
When r=4 M=160.
We use this to find a. So
\(M = ar^3\)
\(160 = a(4^3)\)
\(64a = 160\)
\(a = \frac{160}{64}\)
\(a = 2.5\)
So
\(M = 2.5r^3\)
1) work out the value of M when r=2
\(M = 2.5*2^3 = 2.5*8 = 20\)
When r = 2, M = 20.
2) work out the value of r when M=540
\(M = 2.5r^3\)
\(540 = 2.5r^3\)
\(r^3 = \frac{540}{2.5}\)
\(r^3 = 216\)
\(r = \sqrt[3]{216}\)
\(r = 6\)
When M = 540, r = 6.
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.
Probability that exactly 10 flights arrive on time is 53.33%.
Given that,
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best rate with 80% of its flights arriving on time.
Total number flights in sample = 15
Probability that exactly 10 flights arrive on time is,
P = 10/15 × 80%
= 0.5333
= 53.33%
Hence the required probability is 53.33%.
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(I NEED THIS RIGHT NOW!! PLEASE GIVE EXPLANATION!!) Millie and her brother, Jack, sold candy baes for the band fund-raiser. Millie sold three times as many candy bars as Jack. If Jack sold 30 candy bars, which equation and solution can be used to represent y, the number of candy bars Millie sold?
A. 3y = 30; y = 10
B. 30 = y/3; y = 103
C. 30 = y/3; y = 90
D. 3y = 30; y = 90
Answer:
C
Step-by-step explanation:
When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C
PLS GIVE BRAINLIST
Happy Easter
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)A plane is at Manchester, which is 170km north of Worcester. The plane flies in a straight line for 230km and lands in Cambridge, which is directly east of Worcester.
Show this information in a diagram.
Use your diagram to find the bearing of Manchester from Cambridge.
Answer:
ok so I found the answer, the plane has to go back to north
Step-by-step explanation:
Well first you have to remember the plane was supposed to go north
But then he crashed at East so he has to go back to North
I hope this answered your question, Also for the diagram
Um you can draw a quick picture that shows all of this information,
So like, a triangle that shows where he needed to go and where he
went and in how many km it was from there to there.
Im new so If this Did not help please get another person
The bearing of Manchester from Cambridge is 286 kilometers.
Given that a plane is at Manchester, which is 170km north of Worcester, and the plane flies in a straight line for 230km and lands in Cambridge, which is directly east of Worcester, to find the bearing of Manchester from Cambridge the following calculation must be done, applying the Pythagorean Theorem:
170² + 230² = X² √ (28,900 + 52,900) = X √81,800 = X 286 = X
Therefore, the bearing of Manchester from Cambridge is 286 kilometers.
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A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
What is the correct number form for “seven and eighty-three thousandths?”
7.083
7.83
7.803
7.830
Answer:
7.083
Step-by-step explanation:
well there's the ones place, tenths, hundredths, and thousandths. easy math, unless i'm stoopid and this is wrong :D
PLS HELP! WILL GIVE BRAINLIEST!
A test is worth 60 points. Multiple choice questions are
worth 2 points, and
short-answer questions are worth 5 points. If the test has
15 questions, how
many multiple-choice questions are there?
A. m+ s = 60
B. m+ s = 15
C. m:s= 15
D. 2m + 5s = 15
Answer:
2m + 5s = 15
I hope it helps.
have a great day.
which is rights answer?
Answers:
A) 242.88 minutes
B) 4.08 minutes
C) 3.48 minutes
D) 3.97 minutes
The population of the average length in 2013 is (b) 4.08 minutes
How to predict the average length in 2013from the question, we have the following parameters that can be used in our computation:
The table of values
Using the least squares, we have the following summary
Sum of X = 9Sum of Y = 16.33Mean X = 1.5Mean Y = 2.7217Sum of squares (SSX) = 17.5Sum of products (SP) = 2.135The regression equation is
y = mx + b
Where
m = SP/SSX = 2.14/17.5 = 0.122
b = MY - bMX = 2.72 - (0.12*1.5) = 2.53867
So, we have
y = 0.12x + 2.54
In 2013, we have
y = 0.12 * 13 + 2.54
y = 4.1
Hence, the prediction is (b) 4.08 minutes
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A box has 70 cookies . 10% are broken (a) What fraction is broken ?
(b) What fraction remained whole?
Answer:
Step-by-step explanation:
70(10/100)=7 broken cookies.
7/70=1/10 is the fraction broken
(70-7)/70=63/70 is the fraction remaining whole
Answer:
(a) 1/7 are broken
(b) 6/7 remain whole
Step-by-step explanation:
70 is a nice number to deal with in terms of percentages and fractions. If 10% of the cookies are broken, do 10/70. That fraction simplified gets you 1/7. To find the remaining whole cookies. Do 7/7 - 1/7 = 6/7 (or if you already know that in your head that works too)
Given the rational function below and it’s graph, explain why there is a “hole” in the graph at x=2 hints: are there any inputs that are undefined? Can you factor the numerator? Does it simplify? Does it tell you why this graphs as a line?
Answer:
Step-by-step explanation:
Given function is, \(f(x)=\frac{x^2-3x+2}{x-2}\)
Factors of the numerator = x² - 3x + 2
= x² - 2x - x + 2
= x(x - 2) - 1(x - 2)
= (x - 2)(x - 1)
Therefore, given function will be,
f(x) = \(\frac{(x-2)(x-1)}{(x-2)}\)
For (x - 2) = 0
For x = 2, denominator will become zero.
Thus for input value x = 2, function will not be defined.
If x ≠ 2, f(x) = x - 1
It's a linear function represented by f(x) = x - 1
Having slope = 1 and y-intercept = -1
And (2, 1) is a hole as shown in the graph.
Determine the circle radius with the circle center ( 3 , 9 ) containing the point ( 8 , − 3 )
Answer:
Step-by-step explanation:
An equation of a circle with center (3,9)
whose radius is R :
(x-3)²+(y-9)²=R²
Substituting x=8, y=-3, we have :
5²+12²=R²
169=R²
13=R (∵R>0)
So the radius of the given circle is 13.
Just to remind you,
the equation of a circle is originated from Pythagoras theorem,
which represents the distance between
the center and an arbitrary point (of the circle).
Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
x= 55
Step-by-step explanation:
Answer:
x is 55 degrees
Step-by-step explanation:
since it is a right angle set up the equation
20+x+15=90
then solve to get 55
Help please this is urgent
Answer:
2 5/6 below (2 feet and five-sixth)
Step-by-step explanation:
I can explain in comments
A school group is planning a trip to New York City. There
are 29 people going on the trip. They spent a total of
$19,111. They agreed to share the total cost of the trip
equally. Let "s" equal each person's share of the cost.
What is each person's share of the cost?
Answer:
$659
Step-by-step explanation:
This a basic algebra question with set up.
The total cost is 19,111 with 29 people going and s being each person's cost.
19,111 = 29s
\(\frac{19111} {29}\)\(=s\\\)
so
$659
Answer:
S=$659
Step-by-step explanation:
You have to divide 29 by 29 which give you 1 so cross that out, then do 19111 divided by 29 which is 659, so s=659.
Hope this helps:)
help please ill give you brainliest !! and show work please
find the length of SEGMENT BC
Answer:
BC = 4
Step-by-step explanation:
The diagram shows a circle with radius AE and chord BD.
Assuming that the radius bisects the chord, then AE is perpendicular to BD. So the measure of angle ACB is 90°.
This means that triangle ACB is a right triangle, with legs AC and BC, and hypotenuse AB.
The length of the radius is:
\(AE = 3 + 2 = 5\)
As AB is also the radius, AB = 5.
To find the length of BC, use Pythagoras Theorem:
\(AC^2+BC^2=AB^2\)
\(3^2+BC^2=5^2\)
\(9+BC^2=25\)
\(9+BC^2-9=25-9\)
\(BC^2=16\)
\(\sqrt{BC^2}=\sqrt{16}\)
\(BC=4\)
Therefore, the length of line segment BC is 4.
given are the data for two variables, and . do not round your intermediate calculations. a. develop an estimated regression equation for these data by computing and (to decimals). enter negative values as negative numbers. b. compute the residuals (to decimals). enter negative values as negative numbers. c. consider the following three scatter diagrams of the residuals against the independent variable. which of the following accurately represents the data? 1. 2. 3. scatter diagram
y^ = -7.022 + 1.587x
How to develop an estimated regression?
df SS MS F p value
Regression 1 317.460 317.5 13.350 0.035
Residual 3 71.340 23.7799
Total 4 388.800
Coeff Std Error t Stat P-value t critical
Constant -7.0222 6.461 -1.087 0.3566
x1 1.5873 0.434 3.654 0.0354 3.182
A.)
b1 = 1.587
bo = -7.022
y^ = -7.022 + 1.587x
B.)
residual
3.50
-2.44
-4.79
-1.55
5.28
C.)
SRES
1.3275
-0.5857
-1.1031
-0.3873
1.5087
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Complete Question:
Given Are The Data For Two Variables, X And Y. Do Not Round Your Intermediate Calculations. 24 6 11 15 18 20 Yi 6 8 12 20 30.. A. develop an estimated regression equation for these data by computing and (to decimals). enter negative values as negative numbers. B. compute the residuals (to decimals). enter negative values as negative numbers. C. consider the following three scatter diagrams of the residuals against the independent variable. which of the following accurately represents the data? 1. 2. 3. scatter diagram
The equation that accurately represents estimated regression in the data is y^ = -7.022 + 1.587x
How to develop an estimated regression?df SS MS F p value
Regression 1 317.460 317.5 13.350 0.035
Residual 3 71.340 23.7799
Total 4 388.800
Coeff Std Error t Stat P-value t critical
Constant -7.0222 6.461 -1.087 0.3566
x1 1.5873 0.434 3.654 0.0354 3.182
A.)
b1 = 1.587
bo = -7.022
y^ = -7.022 + 1.587x
B.)
residual
3.50
-2.44
-4.79
-1.55
5.28
C.)
SRES
1.3275
-0.5857
-1.1031
-0.3873
1.5087
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Complete Question:
Given Are The Data For Two Variables, X And Y. Do Not Round Your Intermediate Calculations. 24 6 11 15 18 20 Yi 6 8 12 20 30.. A. develop an estimated regression equation for these data by computing and (to decimals). enter negative values as negative numbers. B. compute the residuals (to decimals). enter negative values as negative numbers. C. consider the following three scatter diagrams of the residuals against the independent variable. which of the following accurately represents the data? 1. 2. 3. scatter diagram
If a car can travel 25 1/3
miles on a gallon of gas, how far will it travel on 1/3
gallons of gas?
Answer:
79/9 or 8.4 or 8 4/9
Step-by-step explanation:
Find the Value of X.
The measure of the unknown sides is equivalent to 12.6
Circle geometry problemThe given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.
We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.
Hence:
x = 6.3 + 6.3
x = 12.6
Therefore the measure of x from the given diagram is equivalent to 12.6
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11 purple hats 14 yellow hats 45 purple hats 70 yellow hats
Answer:
140 hats is the answer i guess
7(4x) simplifying expressions pls help with this!
7(4x) = 28x
Hope this helps :)
Answer: 7(4x) > 4 x 7 = 28x
Answer: 28x
which system of equations has no solution?
Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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P(-4, 6), Q(2, 5), R(3, -1), S(-3, 0)
Use slope to determine whether the following is a parallelogram. Explain why or why not.
Find the slope of PQ
Find the slope of QR
Find the slope of RS
Find the slope of SP
Use this information to determine if the quadrilateral a parallelogram.
From the slopes it is confirmed that PQ || RS OR|| SP and therefore it is a parallelogram .
What is a Parallelogram ?A parallelogram is a quadrilateral in which the opposite sides are parallel.
The coordinates of a quadrilateral is given
To prove that it is a parallelogram
PQ || RS
OR|| SP
The slope of a straight line is given by
\(\rm m = \dfrac{y_2 -y_1}{x_2- x_1}\)
For PQ
m = (-1/6) = -1/6
For QR
m = -6/1 = -6
For RS
m = 1/(-6) = -1/6
For SP
m = -6
From the slopes it is confirmed that
PQ || RS
OR|| SP
and therefore it is a parallelogram
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