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Answer:

11. [tex]b = 30[/tex]

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Substitute

[tex]16^{2} + b^{2} = 34^{2}[/tex]

[tex]256 + b^2 = 1156[/tex]

[tex]b^2 = 1156-256\\b^2 = 900[/tex]

[tex]b = \sqrt{900}[/tex]

[tex]b = 30[/tex]

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Answer:

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex].

Step-by-step explanation:

The given expression is

[tex]\sum\limits_{i=1}^{10}(1-2i)[/tex]

We need to find first 3 terms, then we have evaluate the value.

Here,  

[tex]a_i=1-2i[/tex]

For i=1,

[tex]a_1=1-2(1)=1-2=-1[/tex]

For i=2,

[tex]a_2=1-2(2)=1-4=-3[/tex]

For i=3,

[tex]a_3=1-2(3)=1-6=-5[/tex]

So first three terms are -1,-3,-5. It is an AP with first term -1 and common difference -2. So, next 7 terms are -7,-9,-11,-13,-15,-17,-19.

Now,  

[tex]\sum\limits_{i=1}^{10}(1-2i)=(-1)+(-3)+(-5)+(-7)+(-9)+(-11)+(-13)+(-15)+(-17)+(-19)[/tex]

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex]

Therefore, the value of [tex]\sum\limits_{i=1}^{10}(1-2i)[/tex] is -100.

Answer:

69.82in^2

Step-by-step explanation:

Rectangle

[tex]A=lw\\=5*12\\=60in^2[/tex]

Semicircle

[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 2.5^2\\=9.82in^2[/tex]

Add altogether

60+9.82

=[tex]69.82in^2[/tex]

Answer:

D. The data point is 2.5 standard deviations away from 0.5.

Step-by-step explanation:

Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.

Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.

i.e the data point is 2.5 standard deviations away from the mean 0.5.

Hope this helped!

Answer: [tex]x=\frac{3}{5}[/tex]

Step-by-step explanation:

Move all terms to one side.

[tex]25x^2+9-30x=0[/tex]

Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]

[tex](5x)^2-2(5x)(3)+3^2=0[/tex]

Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](5x-3)^2=0[/tex]

Take the square root of both sides.

5x-3=0

Add 3 to both sides.

5x=3

Divide both sides by 5.

x= 3/5

The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

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

The given system of equations are y = 6x - 11 and

- 2x – Зу = -7

substitute y value in second equation.

-2x-3(6x-11)=-7

Apply distributive property

-2x-18x+33=-7

Combine the like terms

-20x+33=-7

Subtract 33 from both sides

-20x=-7-33

-20x=-40

Divide both sides by 20

x=2

Now subtract x=2 in equation 1

y=12-11=1

Hence,  the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

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Answer:

b=-a

Step-by-step explanation:

we know that b is located the same distance from 0 as another number, a, but in the opposite direction.

so the sum of the two numbers equal zero

a+b=0

a=-b or b=-a

The answer is r=2/5b

The answer to that question is true.

We have given that,

Inductive reasoning is when someone uses lots of data to make a conjecture.

Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.

We have to determine whether the statement is true or false.

The answer to that question is true.

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Answer: The correct answer is A

Step-by-step explanation:

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

Given that,

The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex]

We have to determine,

What's  h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?

According to the question,

Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]

To find the translation in h(x) following all the steps given below.

                   [tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]

                    [tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]

                    [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]

Hence, The function h(x) is a translation of the exponential function,

[tex]g(x) = 2(3)^{x-4}[/tex] is  [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].

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Answer:

4

Step-by-step explanation:

the correct answer is number 4

if X = 2 ==> 2x -5 = 2(2) -5 = 4 - 5 = -1

Answer:

£25 or £20.10

Step-by-step explanation:

calculate the area to be painted:

2.1x4.5= 9.45m^2 for each wall

x4= 37.8m^2

area of door= 1.8x0.9= 1.62m^2

subtract the area of the door from the wall area

37.8-1.62= 36.18m^2 to be painted

divide the area by the area that 1L of paint can cover

16.18/12= 3.015 L needed

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.

£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25

or

calculate price for 0.015L

1.5=£10

divide both sides by 100

0.015= £ 0.10

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L

£20+£0.10= £20.10

I DONT KNOW IF THIS IS RIGHT but hope it helps :)

Answer:  25

Step-by-step explanation:

Lewis told me

Answer:

600

Step-by-step explanation:

% of students in the band = 28%

No. of students who are in the band = 168

Let us take the total no. of students as x

So, 28/100×x=168

= 600

Answer:

Commutative property

Step-by-step explanation:

#4

Answer:

The graph is attached below. Just google it "plot(2(3)^x)"

Answer:

true

Step-by-step explanation:

hard to explain,

hope it helps

It is true that when f(x) = g(x), the system of the equation is solved.

A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).

The equation is the relationship between variables as is an example of a polynomial equation.

Let, f(x) = ax+ by  - - - - ( 1 )
     g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.

When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and  ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).

Thus, It is true that when f(x) = g(x), the system of the equation is solved.

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Answer:

Addition property of equality

Step-by-step explanation:

Answer:

  The correct asnwer for this question is C. addition property of equailty

Hope this helps, and have a wonderful day! :)

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Score in first round = +15

Scores lost in second round = -30

Score in third round = 10

Total points = 15+-30+10= -5

Answer:

10

Step-by-step explanation:

[tex]\sqrt{100} \\=10[/tex]

because [tex]10^2 = 100[/tex]

√10², √10×10 are the equivalent expressions of √100.

An expression is combination of variables, numbers and operators.

The given expression is √100.

Square root of 100.

Equivalent expressions are expressions that work the same even though they look different.

√100

Square root of ten square.

√10²

Square root of ten times of ten.

√10×10

Ten

10

Hence, √10², √10×10 are the equivalent expressions of √100.

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Answer: (going down the table)

1) 5, 8, 6, 1

2) 2, 6, 10, 2

Step-by-step explanation:

count how many are in that bracket.

EG:

1) the amount of numbers between 5 and 10, including 5

etc

Answer:

the answer for this question is -30

Answer:

C

Step-by-step explanation:

[tex]\frac{y^{3/4} }{y^{1/2} }[/tex]   Original expression

[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex]   Division Property of Exponents

[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex]   Find a common denominator (4)

[tex]y^{\frac{1}{4} }[/tex]   Simplify

[tex]\sqrt[4]{y}[/tex]   Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)

Answer: [tex]t=-\frac{1}{2}r- 1[/tex]

Step-by-step explanation:

For a lineal equation [tex]t=mr+n[/tex]

For r=0 and t=-1

[tex]-1=m(0)+n\\n=-1[/tex]

For r=-2 and t=0

[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]

Them [tex]t=-\frac{1}{2}r- 1[/tex]

???? The output for 6 is 1????

Answer:

y+48degrees

Step-by-step explanation:

Answer:

78-56=22 degrees

Step-by-step explanation:

You wanna take away 56 degrees from 78 degrees and you will get ....

Answer:

Volume = length × width × height

length = 16

height = 5

V= 16 × w × 5

V = 80w

Hope this helps.

Answer:

They are similar

Step-by-step explanation:

Answer:

(3)

Step-by-step explanation:

(1), (2) and (4)

can be written as Fr= p1-p2, F and r are inversely proportional

(3) r is directly proportional with F which is opposite to the given formula

hence this is incorrect

Answer:

The scale factor is 1.5

Step-by-step explanation:

In the picture attached, the line AB is shown.

The first 3 steps are to measure some lengths

The last 3 steps are to compute these ratios

Answer:

see explanation

Step-by-step explanation:

1. Measure these lengths:

OA - 2.0 units

OA' - 3.0 units

2. Measure these lengths:

OB - 3.0

OB' - 4.5

3. Measure these length's:

AB - 2.2

AB' - 3.3

4. Calculate the ration: OA' / OA = 1.5

5. Calculate this ratio: OB' / OB = 1.5

6. Calculate this ratio: A'B' / AB = 1.5