i need help with question 17

Question 1

Using scientific notation, we know a=2, b=4, c=1, and d=3. So,

[tex]\frac{a}{2}+\frac{b}{4}+\frac{c}{8}+\frac{d}{16}=1+1+\frac{1}{8}+\frac{3}{16}=37/16[/tex]

Question 2

[tex]a+13b=3(3a-b)\\\\a+13b=9a-3b\\\\16b=8a\\\\a=2b\\\\\therefore \frac{a^3}{b^3}=\frac{(2b)^3}{b^3}=\frac{8b^3}{b^3}=8[/tex]

The volume of house built by David for cat is 64 ft³.

Firstly representing the mentioned statement about volume as mathematical expression. Exponent is the power of variable or constant. So, volume = x³, where x is the edge length.

As the edge length of house of car is given, we will keep the value in formula to find the volume of house.

V = 4³

Taking cube of the value on Right Hand Side of the equation

V = 4×4×4

Performing multiplication on Right Hand Side of the equation

V = 64 ft³

Thus, the volume of the house of cat is 64 ft³.

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The standard form of the straight line is given by 5y - 2x = 20 .

Ax + By = C is the standard form for two-variable linear equations.

We know that when a straight line passes through (a,b) with slope m then the equation of the line is given by:

y - b = m ( x - a )

putting the values in the respective places we get:

y - 2 = 2/5 × ( x + 5 )

or, 5y - 10 = 2x + 10

or , 5y - 2x = 20

Hence the standard form of the straight line is given by

5y - 2x = 20 .

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Answer: The function g because the graphs of f and g are symmetrical about the line y=x.

Answer:

A. The function g because the graphs of f and g are symmetrical about the line y=x.

Step-by-step explanation:

A numeral exists a sign, combination of symbols, or figure that represents a number.

142 in base 5 means [tex]$1\left(5^2\right)+4\left(5^1\right)+2\left(5^0\right)[/tex] = 25 + 20 + 2 = 47

11011 in base 2 means [tex]$1\left(2^4\right)+1\left(2^3\right)+0\left(2^2\right)+1\left(2^1\right)+1\left(2^0\right)[/tex]= 27π

39 T in base 12 means [tex]$3\left(12^2\right)+9\left(12^1\right)+10\left(12^0\right)[/tex] = 550

A numeral is a sign, combination of symbols, or figure that represents a number. It can be a mathematical numbering system.

A numeral's value is determined by the number it represents. All modern numbers cannot be represented by all number systems; Roman numerals, for instance, do not have a zero. A numeral system should, in theory, be able to: Represent a useful set of numbers (e.g. all integers, or rational numbers).

The correct answer is as follows:

142 in base 5 means [tex]$1\left(5^2\right)+4\left(5^1\right)+2\left(5^0\right)[/tex] = 25 + 20 + 2 = 47

11011 in base 2 means [tex]$1\left(2^4\right)+1\left(2^3\right)+0\left(2^2\right)+1\left(2^1\right)+1\left(2^0\right)[/tex]= 27π

39 T in base 12 means [tex]$3\left(12^2\right)+9\left(12^1\right)+10\left(12^0\right)[/tex] = 550

The complete question is:

Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​ eleven, respectively.

Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​eleven, respectively.

a. 142five

b. 11011two

c. 39Ttwelth

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Bring the variable to the left and the remaining values to the right to define the value of x. If m/8 = 86° and m/4 = (4x + 2)° then value of  x = 21.

Any of the algebraic expressions, including addition, subtraction, multiplication, and division, should be used. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.

Let the m/8 = 86° and m/4 = (4x + 2)°

m ∠4 = m ∠8 (Corresponding angles are equal)

To estimate the value of x

4x + 2 = 86

Substracting both sides of the equation by 2, we get

4x + 2 - 2 = 86 - 2

simplifying the above equation,

4x = 86 - 2

4x = 84

Dividing both sides of the equation by 4, we get

4x / 4 = 84 / 4

x = 21

Therefore, the value of x = 21.

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Answer:

0.00908 is the answer...

Answer:

4

Step-by-step explanation:

[tex]3(b+4)+5b=44 \\ \\ 3b+12+5b=44 \\ \\ 8b+12=44 \\ \\ 8b=32 \\ \\ b=4[/tex]

Answer:

Step-by-step explanation:

59+ 43.6

43.6=44.0

59+44

59+43.6

=103.0

Answer:

Step-by-step explanation:

Answer:

If [tex]3^\frac{3}{4}[/tex] , ≈ -101.7205

If [tex]\frac{3^3}{4}[/tex] , = -389/4

Step-by-step explanation:

If [tex]3^\frac{3}{4}[/tex] :

[tex](-52)2+3^{\frac{3}{4} } =[/tex]

[tex]-104+\sqrt[4]{3^{3} }=-104+\sqrt[4]{27}=-101.7205[/tex]

If [tex]\frac{3^3}{4}[/tex] :

[tex](-52)2+ \frac{3^3}{4} =[/tex]

[tex]-104+\frac{27}{4} =-\frac{416}{4}+\frac{27}{4} =-\frac{389}{4}[/tex]

Given:

To graph the given polynomial function, we can plug in any values of x to find values of h(x). The graph is shown below:

We also note that the x-intercept is the point on the x-axis, while the y-intercept is the point on the y-axis. Hence,

x-intercepts: (1,0), (-2,0)

y-intercept: (0,-4)

Tt can also be noted that (x − 1) occurs 3 times while (x+2) occurs 2 times. Hence, x=1 has a multiplicity 3, while x=-2 has a multiplicity 2.

aased on the graph, the end behavior would be:

Let's multiply the following polynomial:

We get,

Your best option is to simply choose six distinct numbers, in any sequence. You would win if those six numbers matched the six that the lottery officials chose (again, in any sequence).

The likelihood of selecting the correct six numbers is one in

[tex]\frac{23}{6}[/tex] = [tex]\frac{23}{6(23-6)}[/tex] = [tex]\frac{23.22.21.20.19.18}{1.2.3.4.5.6}[/tex] = 100974

Therefore, 100946/100947, or a probability of losing, is very near to 1.

The total of your payouts multiplied by the probability that each scenario will occur is the anticipated value of the game. which is

(50,000) [tex]\frac{1}{100947}[/tex] + (-1) [tex]\frac{100946}{100947}[/tex] = [tex]\frac{50000-100946}{100947}[/tex] = -0.5046

You will typically break even if its value is 0. You should play the game if it is more than zero because you will typically win, and you shouldn't play it if it is less than zero because you will typically lose. The payoff is decently substantial for this, however the typical player loses just over 70 cents per round. Almost every player loses a complete dollar.

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Solution

Given

Climate change is altering the approach to sustainability and sustainable development as a result in the disruption of the economy of the countries which are affected.

This is referred to as the long-term shifts in temperatures and weather patterns and are influenced by factors such as greenhouse gas emissions, solar cycle etc which affects the different factors.

Climate change will make people become poor due to the unfavorable working environment being it causes and therefore brings about a disruption in the economy as there will be a shift in focus which makes it the correct choice.

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Answer:

distribute the 4 to the k and -15 so you get 4=4k-60 then add the 60 to the other 4 so its 64=4k then divide 4 to 64 and your answer is 16

Step-by-step explanation:

[tex]4=4k-60\\4k-60=4\\4k=4+60\\4k=64\\\frac{4k}{4} =\frac{64}{4} \\k=16[/tex]

As solved above k=16

The effective annual yield if the interest is compounded daily is 10.5155 %.

The annual interest rate or rate of return that an investor is entitled to over a particular time period is known as effective annual yield.

​In the case of daily, there are 360 days in a year.

Therefore, making n = 360.

Therefore, the effective annual yield if the interest of 10% is compounded daily when r = 10 % and n = 360 will be:

Y = ( 1 + r/n )ⁿ - 1

Y = ( 1 + 0.1 / 360 )³⁶⁰ - 1

Y = ( 1 + 0.000277 )³⁶⁰ - 1

y = 1.105155 - 1

Y = 0.105155

However, since it is in decimal form, we must first multiply it by 100 before adding the symbol "%" after the last digit of the value.

Therefore,

Y = 0.105155 × 100%

Y = 10.5155 %

Therefore, the effective Annual Yield is 10.5155 %

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The calculation of the value 3/4 - 2/6 is 5/12.

It should be noted that the question relates to the subtraction of fraction. This will be illustrated as:

= 3/4 - 2/6

It should be noted that the lowest common multiple of 4 and 6 is 12. This will be illustrated as:

= 3/4 - 2/6

= 9/12 - 4/12

= 5/12

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The value of the scalars a = 3 , and b = -1  .

In the question ,

it is given that

u = (1, −1, 3, 5) and v = (2, 1, 0, −3)

and the equation au + bv = (1, −4, 9, 18)

Substituting the first value of u that is u=1 and substituting the first value of v that is v=2 ,

we get a+2b=1     ....(i)

Now , Substituting the second value of u that is u= -1 and substituting the second value of v that is v=1 ,

we get -a+b= -4      ...(ii)

Solving the equations (i) and (ii)

Adding both the equations we get

a-a+2b+b=1-4

3b= -3

b= -1

a+2b=1

put b= -1

a+2(-1)=1

a-2=1

a=3.

Therefore , the value of the scalars a = 3 , and b = -1  .

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Answer:

T

(B) Quadrant II

xplanation:

Firstly, let us plot the graph of the inequality;

We can plot the graph as:

From the graph of the inequality, we can see that the solution to the inequality are only contained in the Quadrant I, Quadrant III and Quadrant IV. So, And the is no solution in the Quadrant II.

Therefore, the Quadrant that contains no solutions to the inequality is Quadrant II

Answer:

-(1/5)^-2

-5²

-25

Step-by-step explanation:

.....

Circle and Point

Option B and D are the correct answers.

The interest that Harry will earn altogether if he puts £23000 in the account for 5 years is £386,538,000.

Compound interest refers to the interest added to a loan or deposit. It is the concept that we use every day the most regularly. For an amount, compound interest is computed using both the principal and accrued interest. This is the primary difference between compound and simple interest.

Compound interest is the type of interest that is calculated using both the principal and the interest that has accumulated over the preceding period. In contrast to simple interest, compound interest does not factor in the principal when calculating the interest for a subsequent period.

In mathematics, compound interest is frequently referred to as C.I.

It is possible to compute interest using both the initial principle and interest that has accumulated over time.

Compound interest is calculated mathematically as Amount - Principal, where

Amount = Principal*(1 + (r/n))t, where r is the rate of interest, n is the number of times interest is compounded annually, and t is the number of years, and Principal is the initial amount deposited.

Given, Principal = £23000
Rate of interest = 6%
Number of times interest is compounded per year = 1
Number of years = 5
Using above literature, Amount = 23000(1 + (6/1))^5  = 23000*16807 = £ 386,561,000.
Thus, Compound Interest = £386,561,000 - £23000 = £386,538,000.

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Answer:

74.52

Step-by-step explanation:

[tex]P(10)=0.018(10)^3-0.294(10)^2+3.074(10)+55.180 \\ \\ =74.52[/tex]

Write out the equation

Given the function, we are asked to find a graph that is symmetric about the y-axis.

Explanation

Functions can be symmetrical about the y-axis, which means that if we reflect their graph, about the y-axis we will get the same graph. In the above question, the answer is

Answer:

The given expression is,

Using distributive property( A (B+C)=AB+BC),

Again using distributive property in RHS of above equation,

Therefore, the simplified expression is,