-4x + 15 + -49
please show work

Answer: Leah

Step-by-step explanation: Leah cleaned more rooms as the fraction 4 11/18 shows that Leah cleaned more rooms.

In phylogenetics, the most parsimonious tree is the one with the least amount of evolutionary changes or character state transitions. However, it is possible to have more than one tree with the same parsimony score or length.

This occurs when there are multiple ways to group the taxa based on shared derived characteristics without increasing the number of evolutionary changes. These trees are called equally parsimonious trees or most parsimonious trees. The number of equally parsimonious trees increases with the number of taxa and characters.

In such cases, it is important to evaluate the support for different tree topologies using additional evidence such as molecular data, morphological traits, or biogeographic patterns.

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The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer:

3

Step-by-step explanation:

9c and -4 and 6d are all terms

Answer:

46

Step-by-step explanation:

This is the middle value in the data set.

The probability density function for a uniform distribution is given by f(x) = 1/(b-a). The height of the uniform distribution is 1/11.

a) The random variable in the context of this problem is Orv X - the waiting time for a randomly selected commuter on the Red Line during peak rush hours, which follows a uniform distribution between 0 minutes and 11 minutes.
b) The height of the uniform distribution can be computed as follows:
The probability density function for a uniform distribution is given by:
f(x) = 1/(b-a)
where a and b are the lower and upper limits of the distribution, respectively.
In this case, a = 0 and b = 11, so:
f(x) = 1/(11-0) = 1/11
a) In the context of this problem, the random variable (X) represents the waiting time for a randomly selected commuter on the Red Line during peak rush hours.
b) To compute the height of the uniform distribution, you'll need to use the formula:
Height = 1 / (b - a)
where 'a' represents the minimum waiting time (0 minutes) and 'b' represents the maximum waiting time (11 minutes).
Height = 1 / (11 - 0)
Height = 1 / 11
So, the height of the uniform distribution is 1/11.

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Answer:

b.  $1215.00

Step-by-step explanation:

The area of the room can be figured any of several ways. One easy way is to figure the area of the enclosing 8 ft by 12 ft rectangle, then subtract area of the 3 ft by 5 ft cutout at upper left.

  A = (8 ft)(12 ft) - (3 ft)(5 ft) = (96 -15) ft^2 = 81 ft^2

At a cost of $15 for each square foot, the installed flooring will cost ...

  ($15 /ft^2)(81 ft^2) = $(15·81) = $1215

Answer:

=3b^2x(2b-1)x(2b+1)

Step-by-step explanation:

The corresponding point on the unit circle for the angle θ = 5pi/3  is given by: (0,5, -0.866).

What is the unit circle?

Basically, the unit circle is a circle with a radius of 1. It is used in trigonometry to help define and understand angles and their associated trigonometric values. The unit circle is centered at the origin (0, 0) of the coordinate plane, and each point on the circle is defined by its distance from the origin and its angle from the positive x-axis.

What is area of circle ?

The area of circle can be defined as the product of pi and square of radius of a given circle.

In this problem, we have that θ = 5pi/3 , hence:

cos θ = 0.5

sin θ = -0.866

Thus the point is (0,5, -0.866).

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The circle with the equation \(x^2 + y^2 - 4x - 5 = 0\) has a center at (2, 0) and a radius of 3 units.

To identify the radius and center of the circle with the equation \(x^2 + y^2 - 4x - 5 = 0\), we need to rearrange the equation into the standard form \((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle and r represents the radius.

Starting with the given equation, let's complete the square to transform it into the standard form:

\(x^2 - 4x + y^2 = 5\)

To complete the square for the x-terms, we need to add \((4/2)^2 = 4\) to both sides:

\(x^2 - 4x + 4 + y^2 = 5 + 4\)

Simplifying the equation, we have:

\((x - 2)^2 + y^2 = 9\)

Comparing this with the standard form, we can determine the center and radius:

Center: The center of the circle is represented by (h, k). In this case, h = 2 and k = 0, so the center is (2, 0).

Radius: The radius of the circle, denoted by r, is the square root of the number on the right side of the equation. In this case, r = √9 = 3.

Therefore, the center of the circle is (2, 0), and the radius is 3.

To graph the circle, we plot the center at (2, 0) and draw a circle with a radius of 3 units around it. The resulting graph will be a circle with the center at (2, 0) and a radius of 3 units.

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The answer is 20%

If 50 is your 100%, take 100 and 90 for example it would be obvious that is it 10% off, so with 50 since it is half of 100 you double the 10% which will be 20%. :)

Answer:

-20% decrease

Step-by-step explanation:

40-50=-10

-10/50=-0.2

-0.2*100=-20%

Hope this helps.

Answer:

y=-5/4. y=-5/4

Step-by-step explanation:

here is your answer

Answer:

D and Angle EFB=119

Step-by-step explanation:

angle AFH=angle EFB

because of directly opposite.

how to find EFB

so 4x+7+2x+5=180

168=6x

x=28

now do thing for EFB

4X28+7=119

question2 = angle x+ angle y = 150 cause of exterior angle

so 3x-12+x+2=150

4x=160

x=40

angle x=3*40-12

=108

angle y= 40+2

=42

answer = D

Answer:

D

Step-by-step explanation:

Answer:

$45.00

Step-by-step explanation:

154% → $69.30

100% → $69.30 x 100/154 = $45.00

If a bike store sells scooters at a 54% markup. If the store sells each

scooter for $69.30 then their non-markup price is $45.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A bike store sells scooters at a 154% markup

154% of non mark up price is equal to the price of each scooter.

Convert 154% to the decimal value by dividing 100

154/100=1.54

Let x be the non mark up price

1.54×x=69.3

Divide both sides by 1.54

x=69.3/1.54

x = 45

Hence $45 is their non-markup price.

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Answer: its 0 of 4 you can pick but i think its 4

Step-by-step explanion: i am not good at explaning this math but i know the answer

Answer:

number of terms=9

Step-by-step explanation:

\(t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)\)

as number of terms can't be negative.

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

Sn = n/2(2a+(n-1)d)

a=6

a+ 4d= 18

6 +4d= 18

4d = 12

d = 3

162= n/2(12+(n -1)3)

324=n(12 + 3n-3)

324=12n + 3n^2 - 3n

3n^2 + 9n-324=0

3n^2+ 36n-27n -324 =0

3n(n+12) -27(n+12)= 0

3n-27 =0; n+ 12=0

n=9 ; n= -12

since n can't be negative n=9

The number of terms is 9

Answer:

18) 1=29 , 2=61 , 3=90 , 4=29 , 5=90

19) 1=54 2=36 3=54 4=128 5=72

20) 1=90 2=45 3=45 4=45 5=45

The upper and lower quartiles of the discounts are £45 and £20 respectively.

The interquartile range of the discounts is £25.

The upper and lower quartiles of the discounts can be calculated by using the following mathematical expressions;

Upper quartile, P₇₅ = 80 × 75/100

Upper quartile, P₇₅ = 60, which corresponds to £45.

Lower quartile, P₂₅ = 80 × 25/100

Lower quartile, P₂₅ = 20, which corresponds to £20.

Mathematically, the interquartile range (IQR) of a data set is typically calculated as the difference between the first quartile (Q₁) and third quartile (Q₃):

Interquartile range (IQR) = Q₃ - Q₁ = P₇₅ - P₂₅

Interquartile range (IQR) = 45 - 20

Interquartile range (IQR) = £25.

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6.75

-2.25

----------

4.50

-2.25

----------

2.25

-2.25

----------

0.00

you could bowl 3 times (it starts off at 6.75 because I took away the cost of the shoes)

Answer:

3 < x < 17

Step-by-step explanation:

Given 2 sides then the possible range of the third side x is

difference of 2 sides < x < sum of 2 sides , that is

10 - 7 < x < 10 + 7

3 < x < 17

To evaluate the integral Jx e^5x2 dx by making the substitution u = 5x^2, we need to first find the value of dx in terms of du. Taking the derivative of u with respect to x, we get du/dx = 10x, which can be rearranged to dx = du/10x.
Substituting this into the integral, we get:
Jx e^5x2 dx = J(u/10)e^u (du/10x)
Simplifying this expression, we get:
Jx e^5x2 dx = (1/10)Jue^u du
To evaluate this new integral, we can use integration by parts, with u = u and dv/dx = e^u. This gives us:
Jx e^5x2 dx = (1/10)(ue^u - J e^u du) + C
Resubstituting for u, we get:
Jx e^5x2 dx = (1/10)(5x^2e^5x^2 - Jx e^5x^2 dx) + C
Simplifying and rearranging, we get:
Jx e^5x2 dx = (1/20)x e^5x^2 + C

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Answer:

A. (7, -5)

Step-by-step explanation:

The given coordinates of the vertices of ΔPQT are;

P(-2, 5), Q(-2, 1) and T(-5, 1)

The length of the side TQ = 3 units

The length of the side PQ = 4 units

Therefore, the length of the side PT = √(3² + 4²) = 5

The coordinates of the line segment AB = A(1, 3), B(1, -5)

Therefore, using a scale factor of 2, where the sides PQ and AB are corresponding sides, we have;

Where BC is the corresponding side to the TQ on ΔPQT, we have;

The length of BC = 2 × The length of TQ = 2 × 3 units = 6 units (distant from B along the x-axis)

Therefore, the possible points for the point C are;

C(1 - 6, -5) or C(1 + 6, -5)

C(-5, -5) or C(7, -5)

Therefore, the correct option is option A. C(7, -5).

The answers are:

a) The z-score for a light bulb that lasts 500 hours is -10.

b) For a sample of 20 light bulbs, the probability that the average lifespan will be less than 980 hours is approximately 0.0367, or 3.67%.

c) The z-score for a light bulb that lasts 400 hours is -12. This is even more unusual than a lifespan of 500 hours.

d) Given the lifespan follows a normal distribution with a mean of 1000 hours, 50% of the light bulbs will have a lifespan less than 1000 hours.

a) The z-score is calculated as:

z = (X - μ) / σ

Where X is the data point, μ is the mean, and σ is the standard deviation. Here, X = 500 hours, μ = 1000 hours, and σ = 50 hours. So,

z = (500 - 1000) / 50 = -10.

The z-score for a bulb that lasts 500 hours is -10. This is far from the mean, indicating that a bulb lasting only 500 hours is very unusual for this brand of bulbs.

b) If a customer buys 20 of these light bulbs, we're now interested in the average lifespan of these bulbs. . In this case, n = 20, so the standard error is

50/√20

≈ 11.18 hours.

z = (980 - 1000) / 11.18 ≈ -1.79.

The probability that z is less than -1.79 is approximately 0.0367, or 3.67%.

c) The z-score for a bulb with a lifespan of 400 hours can be calculated as:

z = (400 - 1000) / 50 = -12.

The probability associated with z = -12 is virtually zero. So the probability of getting a bulb with a mean lifespan of 400 hours is virtually zero.

d) The mean lifespan is 1000 hours, so half of the light bulbs will have a lifespan less than 1000 hours. Since the lifespan follows a normal distribution, the mean, median, and mode are the same. So, 50% of light bulbs will have a lifespan less than 1000 hours.

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Answer:

Shane's green paint mixture with be more yellowish because the sum of yellow paint is much closer to mixing than the Nora's paint. I don't really

Step-by-step explanation:

because the sum of yellow paint is much closer to mixing than the Nora's paint. I don't really know how to say it. Wait

If you really think about it when 3 parts blue and 2part yellow it means that there 1 more blue than yellow

But if you mix 5 parts blue and and 3 yellow it means that there are 2 more blue than yellow. As we know yellow is a lighter color so its harder to keep the color while mixing and having more blue means that the mixture will be less yellowish more blueish or how we say it. i dont really know how to explain it better but the answer is for sure right

who is on this site because summer school

The central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

To find the central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

If you want the central angle in degrees, you can convert it using the fact that there are 2π radians in a full circle (360 degrees):

Central angle (in degrees) = (Arc length / Radius) * (180 / π)

Make sure to use consistent units for the arc length and radius, such as meters or centimeters, to obtain accurate results.

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Answer:

x = -7/11, y = -14/11

Step-by-step explanation:

2x = y ------- (1)

7y = -7+3x -------- (2)

from (1)

2x = y

y = 2x ------- (3)

substitute (3) into (2)

7y = -7+3x

7(2x) = -7+3x

14x = -7+3x

14x-3x = -7

11x = -7

x = -7/11

substitute x = -7/11 into (3)

y = 2x

y = 2(-7/11)

y = -14/11

x = -7/11, y = -14/11

Answer:

exponential decay

Step-by-step explanation:

a value is less than 1 but greater than 0, making it decay.

'dz' because d and z are different values.

Answer:

t-t

Step-by-step explanation: