• Raul and his friends weigh 1/20 tons. (each of them).
,• The total weight shown is 3/4 ton.
The total number of people on the scale (assuming not taking the weight of the truck) is:
\(\frac{total-weight}{\frac{1}{20}}=\frac{\frac{3}{4}}{\frac{1}{20}}=\frac{3\cdot20}{4}=\frac{60}{4}=15\)Therefore, the total number of people on the scale is 15 people.
Answer:
15 people are on the scale
Step-by-step explanation:
3/4 divided by 1/20
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
100°
Step-by-step explanation:
tThe sum of all arc measures that make up that circle is 360 degrees.
QS + RQ + RS = 360
QS = 360 - 120 - 140 = 100
An arc angle is the degree measurement of that angle inside the circle, opposite the arc
m∠R = arc QS = 100°
Answer:
∠ R = 50°
Step-by-step explanation:
the inscribed angle R is half the measure of its intercepted arc QS
the sum of the arcs on a circle is 360° , that is
RQ + QS + SR = 360°
120° + QS + 140° = 360°
QS + 260° = 360° ( subtract 260° from both sides )
QS = 100°
Then
∠ R = \(\frac{1}{2}\) × 100° = 50°
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Even and odd functions type 1 I need help on the two pictured below
SOLUTION
A function is an even function if
\(f(x)=f(-x)\)Hence the function shown in the graph
Is an even function
Mitch needs to purchase soft drinks for a class party
to figure out if it is cheaper to buy the 12-pack of soda or the 20
pack of soda. The 12-pack of soda costs $4.44, or the 20 pack of
soda costs $7.80.
1) Which pack should Mitch choose? How do you know? Explain
your thinking
2) What is the difference in cost between single cans of soda
from each of the two packs
PLEASE GIVE STEP BY STEP!
9514 1404 393
Answer:
12-pack -- lower unit cost$0.02 per canStep-by-step explanation:
1) The cost per can is the cost divided by the number of cans.
$4.44/(12 cans) = $0.37/can . . . . . unit cost for 12-pack
$7.80/(20 cans) = $0.39/can . . . . unit cost for 20-pack
The 12-pack has a lower unit cost per can. Mitch should choose the 12-pack.
__
2) The difference in cost per can is ...
$0.39 -0.37 = $0.02 . . . per can
Given the equation y = 2 csc(7π/4x-21π/2)
The horizontal shift is:
units to the Select an answer (right or left)
The exact period (give as an integer or fraction) is:
The horizontal shift is to the right.
The exact period is 8/7.
How to find the the horizontal shiftIn a trigonometric function, written of the form
y = A csc (Bx - C)
the parameters are interpreted as follows
A is the amplitude
B is period / 2π
C is the horizontal shift
comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that
horizontal shift = -21π/2 since it is positive it is to the right
The exact period is
Period = 2π / (7π/4)
= 8/7
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la edad de Ana es la mitad de jose y dentro de 10 años seran dos tercios ..cual es la edad de jose
La edad actual de José es de 30 años.
Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.
La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.
Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.
Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].
Al resolver la ecuación resultante, encontramos que x = 30.
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Annie agreed to wash the car each week if she could get paid $.01 the first week, $.02 the
second week, $.04 the third week, $.08 the fourth week, and so on for 15 weeks. How much
money will she be paid on the 15th week?
Answer:1.50
Step-by-step explanation:
She would get paid 1.50. This is true because 15x0.1=1.5
you manage a restaurant and need to replace a broken dishwasher
Answer:
B
Step-by-step explanation:
8, 12, 16, ...
Find the 49th term
Answer:
200
Step-by-step explanation:
the above is an arithmetic progressions
number of terms of an AP = a+( n -1 )d
a= first term= 8
d= common difference= 12-8= 4
49th term:
= 8+(49-1)4
= 8+(48)4
= 8+192= 200
therefore, the 49th term is 200
A right angled triangle has a second angle equal 24 degrees. The side adjacent to this angle is 3,7 metres long. How long are the hypotenuse and opposite sides? (3)
the equation of the line in the graph is y = blank x + blank
Answer:
y=-1x-1
Step-by-step explanation:
Divide:
10mm2-30m
5mn
O 2mºn - 6
O2mn3 - 6mn?
O2mn – 30mn
O 5m4n - 25
Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
Which triangles are similar to ABC?
Answer:
It'd be nice to actually be able to see the answers you're supposed to choose from lol
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.
Translate the scenario.
Team A =
Team B =
Team C =
The equation representing this scenario is
.
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
Take 4b+75 = 983
b = (983 - 75)/4 = 227
now
Team A = 5 less than twice as many as team B = 2b - 5 = 2 *227-5 = 454-5= = 449
Team B = b = 227
Team C = 80 more than team B = b+80 = 227+80 = 307
or you can just subtract 983 - (Team A +Team B)
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
the other persons answer
I need help with this question.
1. The function f that determines the height of the beanstalk is \(h(t) = 7 * (1.15)^t\)
2. f(1)/f(0) = 1.15.
3. f(2)/f(1) = 1.149.
What function f determines the height of the beanstalk?Let h be the height of the beanstalk in inches after t days. Then we can write: \(h(t) = 7 * (1.15)^t\) where 1.15 is the factor by which the height increases each day.
Computation of the value of the following ration:i. To compute f(1)/f(0), we need to substitute t = 1 and t = 0 into the function f and divide:
f(1)/f(0) = [7 * (1.15)^1] / [7 * (1.15)^0]
f(1)/f(0) = 1.15/1
f(1)/f(0) = 1.15
ii. To compute f(2)/f(1), we need to substitute t = 2 and t = 1 into the function f and divide:
f(2)/f(1) = [7 * (1.15)^2] / [7 * (1.15)^1]
f(2)/f(1)= (1.3225) / (1.15)
f(2)/f(1) = 1.149
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Can you help me with this equation?
The linear function that relates y to x is given as follows:
y = -0.5x + 57.
The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.
How to define a linear function?
The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the table, when x = 0, y = 57, hence the intercept b is given as follows:
b = 57.
When x increases by 10, y decays by 5, hence the slope m is given as follows:
m = -5/10
m = -0.5.
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Calculus help please 10 points for 18&19
thanks!
First function - The function is not continous on [0, 5] because h(5) is not defined.
Second function - There are no discontinuities.
How to determine the continuity of a function
In this problem we have two functions, whose continuity has to be checked. The first equation is a rational function and the second one is a polynomic function. There is a discontinuity in a function f at a given point if and only if the function evaluated at such point does not exist.
The discontinuities of rational functions are those x-values such that the denominator equals zero. The first function is defined for the interval [0, 5] and it is continuous if the function exists for all value of the interval. Thus:
5 - x = 0
x = 5
The rational function has a discontinuity at x = 5. The function is not continous on [0, 5] because h(5) is not defined. (Correct choice: C)
In accordance to algebra, polynomic functions are continuous as there exist a result for all value of x. There are no discontinuities.
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Hi, please let me know if this is correct, please tell me if I’m wrong, thx (:
Answer:
It's correct!
Step-by-step explanation:
20.9/10000=0.00209
pls mark me as brainliest!
Select the correct answer,
On the number line, which point is closest to pi (3.14+)
(Look at the picture to see what the answers mean)
A. A
B. B
C. C
D. D
Answer:
I am pretty sure its A sorry if its incorrect
Answer:
point B
Step-by-step explanation:
hope it helps you
Give the slope-intercept form of the equation of the line that is perpendicular to 7x+3y=18 and contains P(6,8)
With the explanation please :)
Answer:
\(y = \frac{3}{7}x + 5 \frac{3}{7} \)
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Given equation: 7x +3y= 18
Rewrite into slope-intercept form to find out its gradient:
7x +3y= 18
3y= -7x +18
\(y = - \frac{7}{3} x + 6\)
Thus, gradient of given line is -7/3.
The product of the gradients of 2 perpendicular lines is -1.
(Gradient of line)(-7/3)= -1
Gradient of line
\( = - 1 \div ( - \frac{7}{3}) \\ = - 1 \times( - \frac{3}{7} ) \\ = \frac{3}{7} \)
Substitute m= 3/7 into the equation:
\(y = \frac{3}{7}x + c \)
To find the value of c, substitute a pair of coordinates.
Since the line contains P(6,8), we substitute x=6 and y=8 into the equation.
When x=6, y= 8,
\(8 = \frac{3}{7} (6) + c \\ c = 8 - \frac{18}{7} \\ c = 5 \frac{3}{7} \)
Thus, the equation of the line is \(y = \frac{3}{7} x + 5 \frac{3}{7} \).
A male elephant weighs 6,549 pounds. A female elephant weighs 5,701 pounds. To the nearest
hundred, what is the total weight of the two elephants?
The total weight of the two elephants is about
pounds.
Answer:
12200
Step-by-step explanation:
6549 plus 5701 equals 12250 but to nearest 100 12200
Answer:
The total weight of the two elephants is about
12,200 pounds.
It cost Luis $5 to park his car at a parking meter for 2 hours. What is the price to park for 1 hour? Draw mode or write a word sentence to help you solve the problem. Then write and solve a multiplication
Answer: 2.5$
Step-by-step explanation: Since 1 hour is half of 2 hours and the price to park for 2 hours is 5. We can take half of the 2 hour parking price to find the 1 hour price.
5$/2 Hours = 2.5$ per hour
Joe is recording the percentages he earned on each quiz In his math class. Here are his results for the last 7 quizzes. 72, 82, 65, 67, 80, 81, 67 Find the range of the data set.
The base of a triangle is given by a number, x (metres). The height of the triangle is ten metres less than the product of two and the number. The area of the triangle is equal to the product of seven and the base length.
According to the question the base of the triangle is x, the height is ten less than the product of two and x, this is 2x-10. The area of the triangle is the product of seven and the base, this is 7x.
The area of a triangle is given by:
\(A=\frac{b\cdot h}{2}\)Replace each variable for the given expressions:
\(\begin{gathered} 7x=\frac{x\cdot(2x-10)}{2} \\ 7x=\frac{2x^2-10x}{2} \\ 7x=x^2-5x \\ 7=x-5 \\ x=7+5 \\ x=12 \end{gathered}\)x has a value of 12.
The Maryland Department of Transportation reported the following data on driving Speed (miles per hour, mph) and fuel efficiency or Mileage (miles per gallon, mpg), for ten mid-size automobiles: 1 23 4 5 6 7 89 10 Automobile Speed (mph 30 50 40 55 30 25 60 25 50 55 Mileage (mpg)2 25 25 2330 32 2 32625 a. Compute the sample bivariate correlation coefficient. b. Interpret the strength (magnitude) and sign (direction) of the sample bivariate correlation coefficient. Test whether the population bivariate correlation coefficient difers significantly from zero at α-0.01. c.State the null and alternative hypotheses associated with the test. d. What is the calculated value of the associated test statistic? e. What is the critical value of the associated test statistic? f.State your decision regarding the null hypothesis. g. State your conclusion (meaning, describe what the decision means in this problem)
On solving the provided question we can say that - correlation coefficient of the question is r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) = -0.91
What is correlation coefficient ?The Pearson's correlation coefficient, also known as the Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply correlation coefficient, is a statistical indicator of the linear relationship between two sets of data.
\(S_{xx} =\)∑\(x^2\) - (∑x\()^2\) /n = 19300- ((420)^2 /10)= 1660
\(S_{yy} =\) ∑\(y^2\) (∑y\()^2\)/n = 7454- ((270)^2 /10) = 164
\(S_{xy} =\)∑\((xy)^2\)/n -475
The correlation coefficient is:
r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) = -0.91
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Brendan says that when a rectangle with length 6 cm and width 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled. Explain what is incorrect about Brendan’s statement.
The area of a rectangle does double when dilated by a scale factor of 2, the Perimeter does not double. It increases by a factor of 2.
Brendan's statement that when a rectangle with a length of 6 cm and a width of 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled is incorrect. While the area of the rectangle does indeed increase by a factor of 2 when dilated, the perimeter does not necessarily double.
Brendan's statement and understand the concept of dilation:
1. Perimeter: The perimeter of a rectangle is the sum of all its sides. In this case, the original rectangle has a length of 6 cm and a width of 4 cm, resulting in a perimeter of 2*(6 cm + 4 cm) = 20 cm. If we dilate this rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The perimeter of the new rectangle is 2*(12 cm + 8 cm) = 40 cm. As we can see, the perimeter has not doubled; it has increased by a factor of 2.
2. Area: The area of a rectangle is calculated by multiplying its length by its width. For the original rectangle with a length of 6 cm and a width of 4 cm, the area is 6 cm * 4 cm = 24 cm². When we dilate the rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The area of the new rectangle is 12 cm * 8 cm = 96 cm². The area has indeed doubled, as Brendan mentioned.
Therefore, while the area of a rectangle does double when dilated by a scale factor of 2, the perimeter does not double. It increases by a factor of 2. It is crucial to differentiate between the effects of dilation on the area and the perimeter of a shape to have a clear understanding of geometric transformations.
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Solve this question
(7w^7)k³
The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³) is equal to w = -1.
As given in the question,
Given equation is equal to :
7 ( w + 7 )³ = 7(6³)
Divide both the side of the equation by 7 we get,
⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7
⇒( w + 7 )³ = (6³)
Take cube root both the side of the equation we get,
⇒∛( w + 7 )³ = ∛(6³)
⇒ w + 7 = 6
Now subtract 7 from both the side of the equation we get,
⇒w + 7 - 7 = 6 - 7
⇒ w = -1
Therefore, the value of the variable 'w' for the given equation is equal to w = -1.
The complete question is:
Solve this equation:
7 ( w + 7 )³ = 7(6³)
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What is the quotient of
15y^3+ 28y^2+ 7y-6 / 5y+6?
Answer: The quotient is 3y² + 2y - 1.
Step-by-step explanation:
You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.
1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.
3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.
2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.
3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.
GUYS PLS PLZ HELP ME ITS DUE IN 1h!!
Step-by-step explanation:
1. HF
2.Given
3. < HFG
4. By S. A. A axiom