Round the following to two significant digits in Blank 1, four significant digits inBlank 2, and six significant digits in Blank 3.

The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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Hi there!

~

\(8.71 = 9\)

\(26.01 = 26\)

\(69.48 = 69\)

\(103.72 = 104\\49.84 = 50\\101.35 = 101\\39.814 = 40\\1.23 = 1\)

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

Step-by-step explanation:

Look at tenth place. If it is 5 , 6 ,7 , 8, 9 ( 5 or more than 5)then add 1 to the whole part and that is your answer

If it is 0,1,2,3,4, then write the whole number as it it.

a) 8.71

tenth place is 7 and it is more than 5. so, add 1 to the whole part. 8+1 = 9

8.71 = 9

b) 26.01

Tenth place is 0 and it is less than 5.So, write the whole number as it is.

26.01 = 26

c) 69.48 = 69      { 4 is less than 5}

d) 103.72 = 104   { 7 >= 5}

e) 49.84 = 50  { 8 >= 5}

f)101.35 = 101  

g) 39.814 = 40

h)1.23 = 1

Answer:

x=-5 y=0

x=0 y=1

x=5 y=2

x=10 y=3

Answer: (x+3)(x-4)

Step-by-step explanation:

Answer:

(3,-5)

Step-by-step explanation:

I took the test on edg 2020

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

EXPLANATION

Given the products we can see that 25 x 25 = 625 is greater than 2 and 5/6.

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer: A

Step-by-step explanation:

Answer:5

Step-by-step explanation:I got it wrong and decided to give you guys the right answer.

Answer:

-32+15= -17ft

Step-by-step explanation:

when substracting integers with different signs, you substract and keep the sign of the higher number. 32-15=17 and the higher number which is 32 has a negative sign so -17.

The year in which the two quantities will be equal is 2133.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have the following data.

y=0.221x-368.264 For men

y=0.168x-255.196 for women

So when we will equate these two equation we will get the year in which two quantities will be same.

0.221x-368.264=0.168x-255.196

0.221x-0.168x=368.264-255.196

0.053x = 1123.068

x= 2133 year

Hence the year in which the two quantities will be equal is 2133.

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Answer:

=−6/5g

Step-by-step explanation:

Step 1: Add -f to both sides.

Step 2: Add -9g to both sides.

Step 3: Divide both sides by 5.

Answer

-6/5g

The surface area of the pyramid is 74.25 square meters.

Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.

A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.

In the given question,

The area of the base is simply the area of a square, which is:

Area of base = length x width = 4.5m x 4.5m = 20.25 square meters

To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).

We can use the Pythagorean theorem to do this:

h²= (1/2 x base)² + height²

h² = (1/2 x 4.5)² + 6²

h² = 2.25 + 36

h² = 38.25

h = √38.25

h = 6.18 meters (rounded to two decimal places)

Now that we know the slant height, we can find the area of each triangular face:

Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters

Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:

Total area of triangular faces = 4 x 13.5 = 54 square meters

Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Surface area = Area of base + Total area of triangular faces

Surface area = 20.25 + 54

Surface area = 74.25 square meters

Therefore, the surface area of the pyramid is 74.25 square meters.

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Given:

The polynomial and one factor

Required:

Use the Factor Theorem to find all real zeros for the given polynomial function and one factor.

Explanation:

We have one factor, we will us that

Answer:

answered the question.

Answer:

(6,-4)

Step-by-step explanation:

Solve for x:  

3(-x+2)=-x-6

-3x+6=-x-6

    -6      -6

-3x=-x-12

+x     +x

-2x=-12x

/-2    /-2

x=6

Solve for y:

y=-(6)+2

y=-4

Answer:

Let \(u=3x^2-3x\)

Solution: \(\frac{1}{6} \sqrt{3x^2-3x}+C\)

Step-by-step explanation:

See attached for step-by-step

The equation of the circle from the given graph is (x + 2)² + (y - 2)² = 9.

The definition of a circle as a two-dimensional geometric shape is a closed curve with all points equally spaced from the centre, which is a fixed point. The radius of a circle is the separation between its centre and any point at its periphery. A circle is a form of ellipse with an equal length main and minor axis and no corners or edges. The design of wheels, gears, and circular buildings like domes and arches are just a few examples of how circles are used frequently in daily life. Circles also play a significant role in geometry, mathematics, and science.

The equation of a circle with center (h,k) and radius r is given by:

(x - h)² + (y - k)² = r²

Now, for the given center (-2, 2) we have:

(x - (-2))² + (y - 2)² = r²

(x + 2)² + (y - 2)² = r²

Now from the given figure r = 3 thus:

(x + 2)² + (y - 2)² = 3²

(x + 2)² + (y - 2)² = 9

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Answer:

For every four cookies, there are two glasses of milk.

OR

For every four scoops of ice cream, there are two plates.

Step-by-step explanation:

Anything works really, just make sure it make sense.

Hope this helps :-)

Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

Answer: 36.196 prep

hope this helps :)

Answer:

Its 36.2

Step-by-step explanation:

Follow the rule ¨5 or more raise the score, 4 or less, let it rest¨. 6 and 9 are both larger then 5 making the .1 into a .2, thus being 36.2

Answer:

0.2875 or rounded to 0.29

Step-by-step explanation:

Answer:

0.2875

All you have to do is divide

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

ok The answer is

Step-by-step explanation:

No of queen: 4

No of total card: 52

Now,

Probability that the card is not a queen : No of queen/ No of total card

4/52 = 1/13

so, the probability that the card is not queen is 1/13

Answer:

$3.87 for the 18% tip.

Answer:

the answer is  9x

Step-by-step explanation:

y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

Two or more expressions with an Equal sign is called as Equation.

Given that,

Elizabeth recently bought a new bike, and she has started biking to and from work.

The round-trip distance is 9 kilometers.

We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

y=9x

Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

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If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.

So consider two cases:

• If c = 2, then we're left with 6a + 9b = 21.

• If c = 1, then 6a + 9b = 41.

We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.

This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.

Answer:

The answer to the question provided is 0.