paso a paso
Step-by-step explanation:
tienes que saber cuanto le quito al otro por que
el primero es 168 y el otro es 138 cubro le quito 30 y el otro
es 123 igual tienes que quitarle tal ves es sumarle primero y después 2 de restarle
espero que te sirva
If the side length of a square is 4 inches, its area is __ square inches and its priemeter is __ inches.
Answer:
16 for both
Step-by-step explanation:
Three people spend money on a vacation. The expression −1,0263 represents the amount of money each person spends on the vacation. Which expression is equivalent to −1,0263 ?
Answer:-(-1,026/3
Step-by-step explanation:
Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.
Answer:
Step-by-step explanation:
The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000, 3,983 rounded to the nearest thousand is 4,000, 13,560 rounded is 14,000.
7,000 + 4,000+ 14,000 = 25,000
I need help with this one
Step-by-step explanation:
Correct, the dilation is an enlargement .
the base '4' becomes '6' a factor of 1.5 ( because 1.5 * 4 = 6)
NO LINKS!!
You want to make a banner that says HAPPY BIRTHDAY. You want the letters to be 3 inches high. You make a sketch of the banner with letters that are 2 inches high. The length of the phrase in your sketch is 20 inches long. What length of paper should you buy to make the banner?
Answer:
30 inches
Step-by-step explanation:
Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.
For 3-inch letters, the banner length will be 30 inches.
Answer:
30 ft
Step-by-step explanation:
**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**
Create a ratio of letter height to length of phrase for the sketch and the banner. Let x be the length of the banner.
NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.
Ratio: letter height : length of phrase
Sketch (in inches): 2 : 20
Banner (in feet): 3 : x
Equate the ratios and solve for x:
\(\sf \implies 2 : 20 = 3 : x\)
\(\sf \implies \dfrac{2}{20}=\dfrac{3}{x}\)
\(\sf \implies 2x=3 \cdot 20\)
\(\sf \implies 2x=60\)
\(\sf \implies x=\dfrac{60}{2}\)
\(\sf \implies x=30\)
Therefore the length of paper your should buy to make the banner is 30ft.
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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what is 4^2 - (3.1 + 6.4) + 4.5
Answer:
11
Step-by-step explanation:
Answer
11
Step-by-step explanation:
Jennifer’s bill for lunch was $15.00 If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?
Answer: $3
Step-by-step explanation:
15 times .20 then subtract that from 15
Answer:
$3
Step-by-step explanation:
because other people said it and especially your MOTHER SAID IT TOO HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH
What is the interest you will pay if you borrowed $900 at 10% interest for 2 years?
$180
Step-by-step explanation
(900 x 2 x 10) / 100
=18000 / 100 = 180
=$180
The interest need to pay is $180.
What is Simple Interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given:
P = $900
R= 10%
T = 2 years
Using Simple Interest
SI = ( PRT)/100
SI = 900 x 10 x 2 /100
SI = 180
Hence, the interest is $180.
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I keep getting the wrong answer for number 6
13➗209 cuánto es? Gracias
Answer: 0.0622009569378
Step-by-step explanation:
plz help me i need help on this
454.5
hope it helps you
If not, sorry.
They who answer first, brainliest is thy prize
Answer:
Quotient: 3x+3
remainder: -2x+5
Step-by-step explanation:
Use polynomial long division
Use the point-slope formula to determine the equation of the line that has a slope of 1⁄2 and passes through point (0, 0).
Answer:
y-0 = 1/2(x-0)
y = 1/2(x)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-0 = 1/2(x-0)
y = 1/2(x)
Determine which set of side measurements could be used to form a right triangle.
4, 11, 20
16, 21, 25
5, 13, 25
3, 4, 5
The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
3, 4 and 5
(3)² + (4)² = 5²
9 + 16 = 25 (True)
Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
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Convert .805 liters to millimeter s
HELP PLSS- okok so i need the answer to this, please help :(
Answer:
second
Step-by-step explanation
-5/12 because -2/3 + 1/4 = -5/12
Answer:
2nd one
Step-by-step explanation:
Triangle ABL is an isosceles triangle in circle A with a radius of 11, PL = 16, and ∠PAL = 93°. Find the area of the circle enclosed by line PL and arc PL. Show all work and round your answer to two decimal places.
The area bounded by a chord and arc it intercepts is known as a segment of a circle segment of a circle
The area of the circle enclosed by line PL and arc PL is approximately 37.62 square units
The reason the above value is correct is as follows:
The given parameters in the question are;
The radius of the circle, r = 11
The length of the chord PL = 16
The measure of angle ∠PAL = 93°
Required:
The area of part of the circle enclosed by chord PL and arc PL
Solution:
The shaded area of the given circle is the minor segment of the circle enclosed by line PL and arc PL
The area of a segment of a circle is given by the following formula;
Area of segment = Area of the sector - Area of the triangle
Area of segment = Area of minor sector APL - Area of triangle APL
Area of minor sector APL:
Area of a sector = (θ/360)×π·r²
Where;
r = The radius of the circle
θ = The angle of the sector of the circle
Plugging in the the values of r and θ, we get;
Area of the minor sector APL = (93°/360°) × π × 11² ≈ 98.2 square units
Area of Triangle APL:
Area of a triangle = (1/2) × Base length × Height
Therefore;
The area of ΔAPL = (1/2) × 16 × 11 × cos(93°/2) ≈ 60.58 square units
Required shaded area enclosed by line PL and arc PL:
Therefore, the area of shaded segment enclosed by line PL and arc PL is found as follows;
Area of the required segment PL ≈ (98.2 - 60.58) square units = 37.62 square units
The area of the circle enclosed by line PL and arc PL ≈ 37.62 square units
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The area of the circle enclosed by line segment PL and circle arc PL is 37.80 square units.
The calculation of the area between line segment PL and circle arc PL is described below:
1) Calculation of the area of the circle arc.
2) Calculation of the area of the triangle.
3) Subtracting the area found in 2) from the area found in 1).
Step 1:
The area of a circle arc is determined by the following formula:
\(A_{ca} = \frac{\alpha\cdot \pi\cdot r^{2}}{360}\) (1)
Where:
\(A_{ca}\) - Area of the circle arc.
\(\alpha\) - Arc angle, in sexagesimal degrees.
\(r\) - Radius.
If we know that \(\alpha = 93^{\circ}\) and \(r = 11\), then the area of the circle arc is:
\(A_{ca} = \frac{93\cdot \pi\cdot 11^{2}}{360}\)
\(A_{ca} \approx 98.201\)
Step 2:
The area of the triangle is determined by Heron's formula:
\(A_{t} = \sqrt{s\cdot (s-l)\cdot (s-r)^{2}}\) (2)
\(s = \frac{l + 2\cdot r}{2}\)
Where:
\(A_{t}\) - Area of the triangle.
\(r\) - Radius.
\(l\) - Length of the line segment PL.
If we know that \(l = 16\) and \(r = 11\), then the area of the triangle is:
\(s = \frac{16+2\cdot (11)}{2}\)
\(s = 19\)
\(A_{t} = \sqrt{19\cdot (19-16)\cdot (19-11)^{2}}\)
\(A_{t} \approx 60.399\)
Step 3:
And the area between the line segment PL and the circle arc PL is:
\(A_{s} = A_{ca}-A_{t}\)
\(A_{s} = 98.201 - 60.399\)
\(A_{s} = 37.802\)
The area of the circle enclosed by line segment PL and circle arc PL is 37.80 square units.
A passenger train leaves depot 2 hours after a freight train leaves the same depot. The freight train is traveling 18 mph slower than the freight train find the rate of each train if the passenger train over, takes the freight train in 3 hours
Answer:
The passenger train is traveling at 45 mph, and the freight train is traveling at 27 mph.
Step-by-step explanation:
Let's assume the speed of the passenger train is represented by x mph.
According to the given information, the freight train leaves the depot 2 hours before the passenger train. Therefore, when the passenger train starts, the freight train has already been traveling for 2 hours.
Let's represent the speed of the freight train as (x - 18) mph, which is 18 mph slower than the passenger train.
Now, we know that the passenger train overtakes the freight train in 3 hours. This means that the passenger train traveled for 3 hours, while the freight train traveled for 3 + 2 = 5 hours.
Since speed = distance/time, we can set up the following equation based on the distances covered by each train:
Distance covered by passenger train = Distance covered by freight train
Using the formula, distance = speed × time, we get:
x × 3 = (x - 18) × 5
Simplifying the equation:
3x = 5x - 90
90 = 5x - 3x
90 = 2x
Dividing both sides by 2:
45 = x
So, the speed of the passenger train is 45 mph.
The speed of the freight train is 45 - 18 = 27 mph.
Please help by tomorrow
The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.
How to calculate the value?From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:
= 2125 + (49.99 × x)
= 2125 + 49.99x
The equation that can be used to represent the information about Richie company will be:
= (39.95 × x)
= 39.95x
Therefore, we will equate both equations:
2125 + 49.99x = 39.95x
49.99x - 39.95x =2125
10.04x = 2125
x = 212
Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.
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Amy counts butterflies for a science project.
She wants to know how many more butterflies she saw this month than in the past 4 months.
First she adds the number of butterflies she saw in the past 4 months.
She calls this number b. What should Amy do next?
Since Amy is determining the difference between the number of butterflies she saw in the past 4 months (figure A) and this month (figure B), her next step is to subtract figure A from figure B.
What is the difference?The difference between the two figures or numbers is the result of a subtraction operation.
A subtraction operation, which is one of the four basic mathematical operations, involves the minuend, subtrahend, and difference, using the minus sign (-) and the equal symbol (=).
Thus, Amy's next step is a subtraction operation to find the difference.
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Max exercise 4 hrs during each 7 day week. At this rate, how many hours do he exercise in 35 days?
We know that Max exercises 4 hours during each 7-day-week.
After 35 days (5 weeks), the number of hours would be
\(4\cdot5=20\)Max would exercise 20 hours after 35 days.The prime factorizations of 54 and 72 are shown below.
Prime factorization of 54: 2, 3, 3, 3
Prime factorization of 72: 2, 2, 2, 3, 3
Using the prime factorizations, what is the greatest common factor of 54 and 72?
023
O 2 33
O 2233
2.2 2.3 3 3
Answer:
2x3x3
Step-by-step explanation:
Suppose y varies directly with x. Write an equation relating x and y.
y = −30 when x = 6
a.
y = −5x
c.
y = −36x
b.
y = 5x
d.
y = 36x
9514 1404 393
Answer:
a. y = -5x
Step-by-step explanation:
The different signs of x and y tell you the constant of proportionality will be negative (eliminating choices b and d).
A quick trial of the given values shows that choice c is incorrect, and that choice a is correct.
A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = \((1-p)^{k-1}\)×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
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Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle
Answer:
4x + 7x - 2 + 5x - 10 = 180
16x - 12 = 180
16x = 192
x = 12
m<A= 4x = 4(12) = 48
m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82
m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50
Step-by-step explanation:
.
2Find the equation of the line thatis perpendicular to y = –x and3contains the point (4,-8).y =x + [
A line perpendicular to the given line should have a slope which is a negative reciprocal of the given slope.
In the given, the slope is -2/3. Thus, the new slope should be m=3/2.
To obtain the line with the slope 3/2 and passes through (4,-8), substitute the value of the slope and the coordinates into the point-slope formula and then simplify the right side of the equation.
\(\begin{gathered} y=m(x-x_1)+y_1 \\ y=\frac{3}{2}(x-4)+(-8) \\ y=\frac{3}{2}(x-4)-8 \\ y=\frac{3}{2}x-6-8 \\ y=\frac{3}{2}x-14 \end{gathered}\)Thus, the values for the blanks should be 3, 2, and -14, respectively.
Prove Tan^2(x)*Sin^2(x)=Tan^2(x)-Sin^2(x)
It is proved that \(tan^2(x)*sin^2(x) = tan^2(x) - sin^2(x)\)
What is Trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It has applications in fields such as engineering, physics, and navigation.
We can use the trigonometric identity:
\(tan^2(x) + 1 = sec^2(x)\)
to derive the identity:
\(tan^2(x) = sec^2(x) - 1\)
We can also use the identity:
\(sin^2(x) + cos^2(x) = 1\)
to derive the identity:
\(cos^2(x) = 1 - sin^2(x)\)
Then, substituting the second identity into the first, we get:
\(tan^2(x) = sec^2(x) - 1 = 1/cos^2(x) - 1 = (1 - cos^2(x))/cos^2(x) = sin^2(x)/cos^2(x) = tan^2(x)*sin^2(x)/(1 - tan^2(x))\)
Multiplying both sides by \((1 - tan^2(x))\), we get:
\(tan^2(x)*(1 - tan^2(x))*sin^2(x) = tan^2(x)*(1 - tan^2(x)) - sin^2(x)*tan^2(x)tan^2(x)*sin^2(x) - tan^4(x)*sin^2(x) = tan^2(x) - tan^4(x) - sin^2(x)*tan^2(x)tan^2(x)*sin^2(x) = tan^2(x) - sin^2(x)\)
Hence Proved
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Sam weighed 105 lbs. before the holidays. She now weighs 110 lbs. Find the Percent of Change.
Answer:
5%
Step-by-step explanation:
105=100
110=x
*cross multiply*
=100x110/105
=104.76
=100-105
=5%
subtract the answer gotten with the 100 %