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The ratio of opposite sides of given angle is 1 : 1 : [tex]\sqrt{2}[/tex].

We have given that the angles of a triangle are in ratio of 1 : 1 : 2.

Let us consider angle is x°.

We know that the sum of angles of triangle is 180°.

Therefore we can write it as,

1(x) + 1(x) + 2(x) = 180°

                   4x = 180°

                     x = 45°

then the angle become 45° ,45°, 90°.

That means triangle is an isosceles triangle.

We know that if triangle is an isosceles right triangle (45-45-90) then the side lengths will follow the ratio 1 : 1 : [tex]\sqrt{2}[/tex].

Hence the sides of the given triangle have a ratio of 1 : 1: [tex]\sqrt{2}[/tex].

A triangle in which at least two sides are equal is called an Isosceles triangle. An Isosceles triangle have both two equal sides and two equal angles.

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The rational numbers are closed under addition. The answer is True.

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

Consider two rational numbers a/b and c/d.

The addition of the two numbers is:

a/b + c/d

= (ad + bc)/bd

Now, (ad +bc) and bd are again an integer, therefore, let p =  (ad +bc) and q = bd, then

(ad + bc)/bd

= p/q, Which is again a rational number.

Hence, the rational numbers are closed under addition. The answer is True.

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The triengle ABC and XZY are proved to be congruent by SAS.

Congruence of triangles: Two triangles are supposed to be harmonious assuming each of the three comparing sides are equivalent and every one of the three relating angle are equivalent in measure. These triangles can be slides, pivoted, flipped and went to be seemed to be indistinguishable.

By the rule of SAS which means, Two sides are equal thhen the angle between the two sides is also equal (SAS: side, angle, side)

Here in he given triangle,

BC=YZ

AC=XZ

∠ACB=∠XZY

By SAS ΔABC≅ΔXYZ

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The reflex angle CBD is measured at 70°, while the angle ABC is measured at 110°.

Describe an angle.

Angle is the void between two surfaces or lines that meet. The angle is also expressed in degrees. The angle is 360 degrees for a full rotation.

Linear angle: Two angles are considered linear if their sum is 180 degrees.

The angle ABC will be measured as follows:

∠ABC = 110°

Angles ABC and CDB are examples of linear angles. Next, we have

ABC + CDB equals 180°

110° + ∠CBD = 180°

∠CBD = 70°

Therefore, The reflex angle CBD is measured at 70°, while the angle ABC is measured at 110°.

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The inequality which can be used to determine c will be " 6000 + 80c ≤ 25000".

Given values are:

The Crates' weight, is 80kg

The greatest weight that can be loaded into the container is 24500 kilograms

Other shipments weighing 6000 kilograms have already been loaded into the container

Let,

The Greatest number of 80kg crates will be "c".

Now,

As we know the formula,

→ By substituting the values, we get

→   6000 + 80 x c ≤ 25000

→   6000 + 80c ≤ 25000      

Thus the inequality which can be used to determine c will be " 6000 + 80c ≤ 25000       "..

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After t = 60.3 minutes will the temperature of the object be equal to 80 degrees.

The function  f(t) = Ce^-kt + 77........ (1)  

Now, at t = 0, f(0) = 150 = C + 77

C = 73

So, the function (1) becomes  f(t) = 73e^-kt + 77 ......... (2)

Now, it is given that at t = 10 minutes, f(10) = 120 degree.

Consequently, from equation (2),  120 = 73e^-kt + 77

73e^-10k = 43

e^-10k = 0.589

Now, taking logarithm ln  both sides we get -10k (ln e) =ln (0.589)

k = 0.0529

Therefore, the equation (2) becomes  f(t) = 73e^-( 0.0529)t + 77  ......(3)

Now, putting f(t) = 80 degree, we have from equation (3),

f(t) = 73e^-( 0.589)t + 77

80 = 73e^-( 0.589)t + 77

e^-( 0.0529)t = 0.041

Taking ln both sides we get, -0.0529t = - 3.19, ⇒ t = 60.3 minutes

The object's temperature will reach 80 degrees after t = 60.3 minutes.

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Answer:

a.) 2(b+5)=6

Step-by-step explanation:

[tex]b=-2\\\\a.)2(b+5)=6\\2[(-2)+5]=6\\2(3)=6\\6=6\\\\b.)2(b-4)=12\\2[(-2)-4]=12\\2(-6)=12\\-12\neq 12\\\\c.)2(b+3)=10\\2[(-2)+3]=10\\2(1)=10\\2\neq10\\\\d.)2(b-5)=14\\2[(-2)-5]=14\\2(-7)=14\\-14\neq14[/tex]

Answer:

19

Step-by-step explanation:

a²-6

where, a=5

(5)²-6

25-6

19

Answer:

[tex]\huge\boxed{\sf 19}[/tex]

Step-by-step explanation:

a² - 6

Put a = 5

= (5)² - 6

= 25 - 6

= 19

[tex]\rule[225]{225}{2}[/tex]

The solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).

What is system of linear equations?

The set of two or more linear equations containing the same variables is known as a system of linear equations in mathematics. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.

Given that;

Y - x = 6

Y + x = -10

Let's equalize the two equations as they are both equal to y;

x + 6 = - x - 10

By further calculation

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

The value of x should be replaced in either equation;

y - x = 6

y - (-8) = 6

So we get

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).

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Answer:

XZ = 22.5 inches

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{XZ}{PR}[/tex] = [tex]\frac{XY}{PQ}[/tex] ( substitute values )

[tex]\frac{XZ}{15}[/tex] = [tex]\frac{9}{6}[/tex] ( cross- multiply )

6 × XZ = 15 × 9 = 135 ( divide both sides by 6 )

XZ = 22.5 inches

Answer:

Step-by-step explanation:

what about this question do you find difficult ?

point P1 (3,-2)  in the form (x1,y1)

slope = m = 4

y - y1 = m(x -x1) ( point-slope formula)

y - (-2) = 4(x-3)

y + 2 = 4(x-3)

The dilation and scale factor would be considered as imilarity transformation.

In general, similarity transformations preserve angles. Side lengths are enlarged or reduced according to the scale factor of the dilation. This means that similar figures will have corresponding angles that are the same measure and corresponding sides that are proportional.

Similarity transformations include dilation and any number of rigid transformations. In a similarity transformation, the ratio of the lengths of corresponding sides in the image and the pre image is equal to the scale factor of dilation. Two or more similar figures will have corresponding sides that are proportional in length.

Hence the answer is the dilation and scale factor would be considered imilarity transformation.

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The 4 sign that someone is having as allergic reaction are cell mediated, cytotoxic, immunocomplex and anaphylactic ?

The symptoms and signs that someone having allergic reaction is that

People experienced food allergies also like hives, swelling of the tongue, swelling of tongue, swelling of face. Some of the respiratory symptoms are chest tightness, coughing, shortness of breath, wheezing, throat tightness. There are also some GI symptoms which are diarrhea, vomiting, cramps and abdominal pain.

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A polynomial is even if each term is an even function. A polynomial is odd if each term is an odd function.

How do you tell if a polynomial graph is odd or even?

In general, we can determine whether a polynomial is even, odd, or neither by examining each individual term. A polynomial is even if each term is an even function. A polynomial is odd if each term is an odd function. A polynomial is neither even nor odd if it is made up of both even and odd functions

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By using the concept of growth, it can be calculated that

There are 7023550 bacteria after 19 hours

What is growth?

Growth is the process in which a value of an object or asset increases at a certain rate over a certain period of time.

Here, concept of growth is used

A culture of bacteria has an initial population of 9700 bacteria and double every 2 hour

So,

[tex]P_0 =[/tex] 9700

d = 2 hours

t = 19 hours

[tex]P_t = 9700 \times 2^{\frac{19}{2}}[/tex]

[tex]P_t = 7023550[/tex]

There are 7023550 bacteria after 19 hours

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The 9 3 3 1 ratio for phenotype mean the classic mendelian ratio for a di-hybrid cross in which the alleles of two different genes assort independently into gametes Independent assortment of genes.

A cross is made between the two parents based on two pairs of characters known as  Di-hybrid cross.

A cross is made between homogenous yellow round seed to another homozygous green wrinkled seeds.

At  the [tex]F_1[/tex] generation, all plants are heterozygous yellow round. Whenever this plant is subject to self pollination, in the [tex]F_2[/tex] generation, 9 plants are Yellow round, 3 plants are yellow wrinkled, 3 plants are green round and 1 plant is green wrinkled.

This called Di-hybrid phenotype ratio 9:3:3:1. Mendel is expressed this one as "Law of independent assortment".

Therefore the 9 3 3 1 ratio for phenotype mean the classic Mendelian ratio for a di-hybrid cross in which the alleles of two different genes assort independently into gametes Independent assortment of genes.

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The deferred tax liability given the following items incurred in 2020 by company b. Bonuses are tax deductible only in the year in which they are paid, is 372.

In the give question, we have to calculate the deferred tax liability given the following items incurred in 2020 by company b.

Bonuses are tax deductible only in the year in which they are paid.

From the given question;

Accounting Income                   = 86000

Add Depreciation expence       = 6500

Less Tax Depreciation              = 4000

Less 2019 Bonus Paid in 2020 = 2630

Add 2020 accured Bonus         = 3500

Total Taxable Income                = 84670

Accounting income is more that the taxable income. Hence defffered tax liability will arise on the temporary taxable difference.

Temporary Taxable Difference = 86000-84670 = 1330

So Deffered Tax Liability = 1330*28% = 372

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Answer:

15.5 inches

Step-by-step explanation:

Let the width be [tex]w[/tex] and the length be [tex]w+4[/tex].

Using the formula for the perimeter of a rectangle,

[tex]2(w+w+4)=54 \\ \\ 2w+4=27 \\ \\ 2w=23 \\ \\ w=11.5 \\ \\ \implies w+4=15.5[/tex]

In a continuous probability distribution, a random variable can take any value in a specified range. (Option D)

A probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. Continuous probability distribution refers to a probability distribution with continuous types of data or random variables where the random variable can take on any value and is continuous. As there are infinite values that the variable can assume, the probability of the variable assuming any one specific value is zero. A continuous distribution is characterized by a range of values that are infinite, and therefore uncountable. The normal distribution is one example of a continuous distribution.

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The number of blocks will be 2^16 blocks. The address will be tag:11, block:5, offset:4. The memory address will be 0DB63 that will map to 22nd block and 3 byte size of block.

A memory address in computing is a reference to a particular memory region that is utilized at different levels by hardware and software. Memory addresses are unsigned numbers that are often presented and handled as fixed-length digit sequences. A device or CPU uses a memory address as a specific identifier to track data. The CPU can keep track of where each memory byte is in the system by using this binary address, which is defined by an ordered and finite sequence.

Here,

Calculations are given in image.

2^16 blocks will make up the total amount of blocks. Tag:11, block:5, offset:4 will be the address. The memory address will be 0DB63, which corresponds to the 22nd block with a 3 byte block size.

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Answer:

Step-by-step explanation:

I'm pretty sure its the number 4! That's where the angle is!

Answer:

4

Step-by-step explanation:

because as you can see in the picture

I hope this helps you!

The probability that one of the scores in the sample is less than 1585 is 4.9%

Given that,

Given that mean u = 1585

standard deviation σ = 80

sample size n = 33

Probability means is the ability to happen. The subject of this area of mathematics is the occurrence of random events.The value is expressed in the range of 0 to 1. Probability has been brought to mathematics to predict the likelihood of events. Probability is essentially defined as the degree to which something is likely to occur.

P(x<1585) = P(X-u/σ < 1585-1595/80)

                 = P (X-u/σ  < -0.125)

P(x<1585) = 0.45026

P(x>1585) = 1 - P(x<1585) = 0.54974

P(1585<x<1595) = 0.5 - P(x<1585) = 0.049738

So, The probability that one of the scores in the sample is less than 1585 is 4.9%

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$1417 can be deducted as student loan interest.

What is loan interest?

The interest on student loan is deductible upto $2500.

This amount starts reducing once the MAGI reaches the Phase out limit.

The phase out starts at $140000 and ends at $170000

Maximum deduction is $2500 or actual whichever is lower,

The deduction of $2500 will reduce here by

2500 * (MAGI-phaseout limit)/(phaseout end- phaseout beginning)

2500 * (153000-140000)/(170000-140000)

=2500*13000/30000

=1083.33

deduction = 2500-1083.33

=$1417

Hence, $1417 can be deducted as student loan interest.

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The set of linear programming for this problem is, to maximize [tex]z = 1x_{1} + 1.1x_{2} + 1.15x_{3} + 1.2x_{4}[/tex] subject to [tex]80x_{1} + 75x_{1} + 75x_{1} + 50x_{4}\leq 260;[/tex] [tex]20x_{1} + 23x_{2} + 20x_{3} + 40x_{4} \leq 90;2x_{2} + 5x_{3} + 10x_{4} \leq 20;[/tex] [tex]x_{1} \geq 0,x_{2} \geq 0,x_{1} \geq 0[/tex] [tex], x_{4} \geq 0[/tex].

In the given question,

The Humidor blends regular coffee, High Mountain coffee, and chocolate to obtain four kinds of coffee: Early Riser, Coffee Time, After Dinner, and Deluxe.

The blends and profit for each blend are given below in the following chart:

The shop has 260 pounds of regular coffee, 90 pounds of High Mountain coffee, and 20 pounds of chocolate.

Let [tex]x_{1}, x_{2}, x_{3}[/tex] and [tex]x_{4}[/tex] be the weight in pounds of early riser, Coffee time, after dinner and deluxe respectively.

The maximum available pounds of regular coffee are 260 pounds.

Therefore,

[tex]80x_{1} + 75x_{2} + 75x_{3} + 50x_{4}\leq 260[/tex]

The maximum available pounds of High Mountain are 90 pounds.

Hence,

[tex]20x_{1} + 23x_{2} + 20x_{3} + 40x_{4} \leq 90[/tex]

The maximum available pounds of chocolate are 20 pounds.

Therefore,

[tex]0x_{1} + 2x_{2} + 5x_{1} + 10x_{4} \leq 20[/tex]

To maximize the profit, the equation will be

[tex]z = 1x_{1} + 1.1x_{2} + 1.15x_{3} + 1.2x_{4}[/tex]

So the linear programming model for the situation is

Maximize

[tex]z = 1x_{1} + 1.1x_{2} + 1.15x_{3} + 1.2x_{4}[/tex]

Subject to

[tex]80x_{1} + 75x_{1} + 75x_{1} + 50x_{4}\leq 260\\20x_{1} + 23x_{2} + 20x_{3} + 40x_{4} \leq 90\\2x_{2} + 5x_{3} + 10x_{4} \leq 20\\x_{1} \geq 0,x_{2} \geq 0, x_{1} \geq 0, x_{4} \geq 0[/tex]

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1. C. cylindrical coordinates 2 A. spherical coordinates 3. A. spherical coordinates 4. D. Cartesian coordinates 5  B. polar coordinates

USE THE BOUNDARY INTERVALS TO IDENTIFY

1. ∭E dV where E is:  

x^2 + y^2 + z^2<= 4, x>= 0, y>= 0, z>= 0  -- This is A CYLINDRICAL COORDINATES SINCE x>= 0, y>= 0, z>= 0

2. ∭E z^2 dV where E is:  

-2 <= z <= 2,1 <= x^ 2 + y^2 <= 2 This is A SPHERICAL COORDINATES

3. ∭E z dV where E is:

1 <= x <= 2, 3<= y <= 4,5 <= z <= 6 -- This is A SPHERICAL COORDINATES

4. ∫10∫y^20 1/x dx  ---- This is A CARTESIAN COORDINATES

5. ∬D 1/x^2 + y^2 dA where D is: x^2 + y^2 <=4  This is A POLAR COORDINATES

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The two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x.

The derivative of the first derivative of the given function is known as the second order derivative. We can learn about the slope of the tangent at a particular position or the instantaneous rate of change of a function at that point from the first-order derivative at that point.

F”(x)= x^2+6

F’(x)= \int f"(x) dx

       = \int( x^2+6) dx

       = \frac{x^3}{3}+6x+c_1                                  c_1 is the integral constant.

F(x)= \int f\prime(x) dx

      = \int f (\frac{x^3}{3}+6x+c_1) dx

      = \frac{x^4}{12}+3x^2+c_1x+c_2

(i) if c_1=0 , and c_2=0

   F(x)= \frac{x^4}{12}+3x^2

(ii) if c_1=1, and c_2=0

        F(x)= \frac{x^4}{12}+3x^2+x

Therefore the two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x

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Automated External Defibrillator(AEDs) administer an electrical shock. So it is dangerous to use n a victim who is lying on a conductive surface.

In the given question we have to explain what is a danger that would stop us from using an AED.

AEDs can be hazardous to use in damp settings, endangering the patient or the person supplying care. When treating the cardiac arrest sufferer, you must be especially careful because AEDs administer an electrical shock. When submerged in water, never use an AED.

Do not use an AED on a victim who is laying on conductive material. If other people are close to conductive items like metal bleachers or sheet metal, they could also get shocked.

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Abigali should invest $14197.97 in this amount to get the goal

From the formula of the simple interest,

S.I = P.r.t/100

Simple interest is the interest amount on the particular amount for the required rate in a given interval of time.

Where S.I = simple interest for the original amount

P = principal amount

t = number of times of period

r =rate interest

In this problem, we have

r = 6.92

S.I = 5896

t = 6 years

Since, Abigali pays 6.92% simple interest per year in her account for the interest of $5896 in the six years

Therefore, as per the question

P = (S.I x 100)/r.t

P = (5895 x 100)/ (6.92 x 6) = $14197.97

Therefore, original money will be $14197.97

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The confidence interval for the second group's estimate of the population mean will be more accurate due to the increased sample size.

What is mistake, exactly?

An error is an inaccurate or improper action (from the Latin error, meaning "wandering"). An error is often used interchangeably with the word mistake.

Detailed explanation:

margin of a confidence interval's error:

The following format describes the equation for a confidence interval's margin of error:

M=zα/√n

where is the population's standard deviation, n is the sample size, and z is connected to the confidence level.

This suggests that a larger size results in a better degree of interval precision, or a smaller margin of error.

In this instance:

There are 49 data values in the sample from the first group survey and 81 from the second group.

The confidence interval for the second group's estimate of the population mean will be more accurate due to the increased sample size.

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