Divide -38 ÷ -4 enter your number as a mixed number in simplified form​

Answer:

(-0.8, 2.2)

Step-by-step explanation:

Where the two lines intersect is the solution to the System of Equations.

Answer:

the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left

Perimeter is the sum of all the sides of a figure. For a rectangle with width 2cm and perimeter 40cm, the length will be 18 cm

For rectangle there are four sides. The opposite sides are equal. If length is denoted as l and width is denoted as b, the perimeter will be l+l+b+b

So perimeter = 2l + 2b = 2(l +b)

Here perimeter is given as 40cm and width is 2cm.

Substituting in the equation for perimeter

 p = 2 (l +b)

40 = 2( l + 2)

40/2 = l +2

20 = l + 2

l = 20-2 = 18

So, the length of the rectangle will be 18 cm

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For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.

Here let the partners be A, B, and C.

According to the question, A: B: C = 3: 2: 5

This implies that if the profits are divided into

3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.

Here the profits for the year are $176,500.

Now dividing them into 10 equal parts will give us the value of each part to be

$176, 500/10 = $17,650

Hence A will receive $17,650 X 3 = $52,950

B will receive $17,650 X 2 = $35,300

C will receive $17,650 X 5 = $88,250

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Answer:

c + 3d = 14.75

2c + 5d = 26

A box of candy is $4.25 and a drink is $3.50

Step-by-step explanation:

Let c represent the cost of a box of candy and let d represent the cost of a drink

c + 3d = 14.75

2c + 5d = 26

Solve by elimination by multiplying the top equation by -2

-2c - 6d = -29.5

2c + 5d = 26

Add them together

-d = -3.5

d = 3.5

Plug in 3.5 as d into one of the equations to solve for c

c + 3d = 14.75

c + 3(3.5) = 14.75

c + 10.5 = 14.75

c = 4.25

So, a box of candy is $4.25 and a drink is $3.50

A dilation with a scale factor of 1 will create an image and a pre-image that are similar figures

Given data ,

Let the figure be represented as A

Now , let the transformed image be represented as A'

Now , A dilation with a scale factor other than 1 would create an image and a pre-image that are similar figures, so the answer is either A or C.

Since a dilation with a scale factor of 1 would produce congruent figures, the correct answer is C, a dilation with a scale factor of 2.

Hence , the solution is a dilation with scale factor of 1

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Answer:

one

Step-by-step explanation:

the answer is one

i hoped this help

Answer:

s = 16

Step-by-step explanation:

-1.8 = 4.6 - 0.4s (subtract 4.6 on both sides)

-6.4 = -0.4s (divide by -0.4)

16 = s

Answer:

16

Step-by-step explanation:

-1.8=4.6-0.4s

-4.6       -4.6

-6.4=-0.4s

Divide -0.4

= 16

True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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Answer:

76

Step-by-step explanation:

10 * 4 + 6 ^ 2  = 40 + 36 = 76

The mass of the solid is 7π/2 units.

The task is to calculate the mass of the solid.

Step-by-step solution: The solid occupies the region between the unit sphere at the origin and a sphere of radius 2 with the center at the origin. The spherical coordinates in 3D space are (r,θ,φ), where:r = radius, θ = polar angle, φ = azimuthal angle.

The equations of the given sphere are r=1 for the unit sphere and r=2 for the second sphere.

Using spherical coordinates, the solid can be defined as 1≤r≤2, 0≤θ≤2π, 0≤φ≤π.

The density is equal to the distance from the origin, i.e. ρ = r.

The mass of the solid is given by the triple integral ρ dV taken over the solid, where dV is the volume element in spherical coordinates.dV = r²sin φ dφdθdr

The limits for the triple integral are: 0 ≤ θ ≤ 2π, 0 ≤ φ ≤ π, and 1 ≤ r ≤ 2.M = ∭ρ dV = ∭r(r²sin φ) dφdθdr= ∫[0,2π]∫[0,π]∫[1,2] r³sin φ drdφdθ= ∫[0,2π]∫[0,π] -cos φ [r⁴/4]₁ ₂ drdφdθ= ∫[0,2π]∫[0,π] 7/4 cos φ dφdθ= ∫[0,2π] 7sin φ/4 ]₀  π dθ= 14π/4= 7π/2 units.

The mass of the solid is 7π/2 units.

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The probability that a student will get exactly 13 questions right is 0.003.

Let E be an event that student gives 13 right answers.

According to the given question.

An exam contain total number of questions is 15.

Now,

The probability that a student gives a right answer, p = 1/2 = 0.5

And, the probability that a student gives a wrong answer, q = 1 - 1/2 = 1/2 = 0.5

Therefore,

The probability that a student will get exactly 13 questions right is given by

⇒ P(E) = C(15, 13) p^(13)q^(15 - 13)

⇒ P(E) = (15!/13!2!)(0.5)^13(0.5)^2

⇒ P(E) = (15(14)/2 ) ×  ( 0.00012) × 0.25

⇒ P(E) = 105 × 0.00012 × 0.25

⇒ P(E) = 0.00315

Hence, the probability that a student will get exactly 13 questions right is 0.003.

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Answer:

y = 1x + -2

Step-by-step explanation:

Step 1: Calculating Slope (m).

m = y2 - y1 / x2 - x1

m =  -4 - 0 / -2 - 2

m = -4 / -4

m = 1

Now put value of m in equation...

y = 1x + b

Step 2: Calculating Y-intercept (b).

Lets choose the first point, ( 2, 0) for calculating y-intercept:

y = m ( x ) + b

0 = 1 ( 2 ) + b

0 = 2 + b

-2 = b

b = -2

Now put value of b in equation for your final answer...

y = 1x + -2

Hope this helps!

Answer: a = 12, b = 2, c = 11

Step-by-step explanation:

Using exponent rules we can distribute the exponent of 3 to the xyz.

This results in the numerator now being. \(x^{5*3}+y^{1*3}+z^{4*3}\\\) This can be simplified to, \(x^{15}y^{3}z^{12}\\\).

Now divide the numerator by the denominator subtracting the exponents.

Which equals, \(x^{12}y^{2}z^{11}\)

So a = 12

b = 2

and

c = 11

The values of \(a, \ b,\ c\) are  \(12,\ 2,\ 11\) .

Exponent indicates that the base is to be raised to a certain power. So, it is the power of the base.

We have,

\(\frac{(x^5yz^4)^3}{x^3yz}=x^ay^bz^c\)

Now simplify the above given equation;

\(\frac{(x^5*3y^1*3z^4*3)}{x^3yz}=x^ay^bz^c\)

\(\frac{(x^{15}y^3z^{12})}{x^3yz}=x^ay^bz^c\)

Now, Using the exponent rule;

\(\frac{a^n}{a^m} = a^{n-m}\)

So,

\((x^{15-3}y^{3-1}z^{12-1})=x^ay^bz^c\)

\((x^{12}y^{2}z^{11})=x^ay^bz^c\)

Now,

As we see variables on both sides of equation are same (i.e. bases of powers are same), so now compare the powers of sides of variables;

⇒    \(x^{12}=x^a\)

       \(a=12\),

And, \(y^2=y^b\)

         \(b=2\)

And, \(z^{11}=z^c\)

         \(c=11\)

So, the values of \(a, \ b,\ c\) are \(12,\ 2,\ 11\) which are find out using the  exponent rule.

Hence, we can say that the values of \(a, \ b,\ c\) are \(12,\ 2,\ 11\) .

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Answer:

9

Step-by-step explanation:

in order to find the range of a given set of numbers, you find the difference between the biggest and smallest numbers. So here, it would be -9 and 0. The range is 9.

Answer:

\(\huge\boxed{x=65}\)

Step-by-step explanation:

Look at the picture.

\(m\angle VUP=180^o-2\cdot60^o=180^o-120^o=\boxed{60^o}\\\\m\angle UPQ=360^o-2\cdot60^o=360^o-120^o=\boxed{240^o}\\\\m\angle QRM=180^o-2\cdot60^o=180^o-120^o=60^o\\\\m\angle RMQ=180^o-135^o=45^o\\\\in\ \triangle QRM:\ m\angle MQR=180^o-(60^o+45^o)=180^o-105^o=75^o\\\\m\angle PQW=360^o-(2\cdot60^o+75^o+80^o)=360^o-(120^o+155^o)\\\\=360^o-275^o=\boxed{85^o}\\\\m\angle UVW=\boxed{90^o}\)

VWQPU is the pentagon. The sum of interior angles in a pentagon is equal 540°. Therefore:

\(x^o=540^o-(90^o+60^o+240^o+85^o)=540^o-475^o=65^o\)

Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.



Historical scientists deal with falsification by employing rigorous methodologies and critical analysis of evidence. They strive to gather as much relevant data as possible to test hypotheses and theories. This is done through meticulous research, including the examination of primary sources, archaeological artifacts, historical records, and other forms of evidence. Historical scientists also engage in peer review and scholarly discourse to subject their findings to scrutiny and criticism.

The mechanism used by historical scientists to falsify hypotheses involves a combination of evidence-based reasoning and the application of established principles of historical analysis. They aim to construct coherent and logical explanations that are supported by the available evidence. If a hypothesis fails to withstand scrutiny or is contradicted by new evidence, it is considered falsified or in need of revision. Historical scientists constantly reassess and refine their hypotheses based on new discoveries, reinterpretation of existing evidence, and advancements in research techniques. This iterative process helps to refine our understanding of the past and ensures that historical knowledge remains dynamic and subject to revision.

Therefore, Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.

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The equation that represents a nonlinear function is x(y – 5) = 2

Nonlinear functions are functions that do not have a uniform slope.

A linear function is represented as:

y = mx + b

This means that all other forms are nonlinear function.

From the list of given options, x(y – 5) = 2 is a nonlinear function

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Answer:

A

Step-by-step explanation:

(a) The probability that exactly two of the four components last longer than 1,000 hours is 0.3679

(b) The probability that the subsystem operates longer than 1,000 hours is 0.8130

(a) Let X be the number of components that last longer than 1,000 hours. Then X follows a binomial distribution with n = 4 and p = 0.55 (the probability that a component lasts longer than 1,000 hours is 1 - 0.45 = 0.55). The probability that exactly two of the four components last longer than 1,000 hours is

P(X = 2) = (4 choose 2) × 0.55^2 × 0.45^2 = 6 × 0.3025 × 0.2025 = 0.3679

So the probability that exactly two of the four components last longer than 1,000 hours is 0.3679 (rounded to four decimal places).

(b) The subsystem will operate if any two of the four components are operating. This means that the subsystem will fail if either none or only one component is operating. Let Y be the number of components that are operating. Then Y follows a binomial distribution with n = 4 and p = 0.45 (the probability that a component fails in less than 1,000 hours is 0.45). The probability that none of the four components are operating is

P(Y = 0) = 0.45^4 = 0.0081

The probability that exactly one of the four components is operating is

P(Y = 1) = (4 choose 1) × 0.55 × 0.45^3 = 0.1789

Therefore, the probability that the subsystem fails is

P(failure) = P(Y = 0) + P(Y = 1) = 0.0081 + 0.1789 = 0.1870

So the probability that the subsystem operates longer than 1,000 hours is

P(success) = 1 - P(failure) = 1 - 0.1870 = 0.8130 (rounded to four decimal places).

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Using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

An arithmetic contrast among two numbers is known as a percentage. Two sets of provided numbers are considered to be approximately equal with respect to one another in conformity with the rules of proportion if they increase or decrease by the same ratio.

We must create the equation to prove the equality by utilizing each of the numerals 1 through 9 once. Any of the numbers between 1 and 9 are equivalent to 1 and 2.

Let the ratio equal 1.

The comparable ratios are therefore 1:1, 2:2, and 3:3.

2:2 = 3×3:9 = 4×4 =16

Therefore, using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

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Answer:

(-4, -5)

Step-by-step explanation:

-4x + 2y = 6

-4x + 2(x - 1) = 6

-4x + 2x - 2 = 6

-2x - 2 = 6

-2x - 2 + 2 = 6 + 2

-2x = 8

-2x/-2 = 8/-2

x = -4

------------------------

y = x - 1

y = -4 - 1

y = -5

-------------------------

-4(-4) + 2(-5) = 6

16 + -10 = 6

6 = 6

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

74 degrees and obtuse

Step-by-step explanation:

Answer:

Acute and 74 degrees

Step-by-step explanation:

The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.

This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.

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Step-by-step explanation:

It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.