help me with this please

Answer:

Step-by-step explanation:

Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.

Given that,  

[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]

solution by Cramer's rule

[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A = -320[/tex]

[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A_1 = 7210[/tex]

[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]

[tex]A_2=-10135[/tex]

[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]

[tex]A_3=-2770[/tex]

[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]

[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]

[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]

[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]

Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

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Answer:

x = 20

Step-by-step explanation:

→Add 6 to both sides:

[tex]\frac{1}{2} x-6=4[/tex]

[tex]\frac{1}{2} x=10[/tex]

→Multiply both sides by 2:

x = 20

Answer:

[tex]a^2[/tex]

Step-by-step explanation:

[tex]\sqrt[m]{a^{2m}}[/tex]

[tex]a^{2m \times 1/m}[/tex]

[tex]a^{\frac{2m}{m}}[/tex]

[tex]a^2[/tex]

Answer:

D

Step-by-step explanation:

0.333... is rational because it can be lined up to the fraction 1/3.

Answer:

D.

Step-by-step explanation:

The definition of a rational number is a number that can be expressed as the ratio of two integers.

We cannot represent pi as a ratio of two integers, so it cannot be A. Apply the same definition and B and C are out.

We know that 0.333... = 1/3. This number can be represented as the ratio of two integers, so this is the correct answer.

I hope this helps!

Step-by-step explanation:

First, I would work out the missing angle:

25° + 90° (right-angle) = 115°

180° - 115° = 65°

The missing angle is 65°.

-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit

Answer:

Side AB = 4.41

Answer:

20%

Step-by-step explanation:

Divided the two which is 80% so the increase is 20% I'm not good at explaining

Answer:

150-120=30

30/120=0.25

0.25=25%

25% is correct

120 x 0.25 = 30

120+ 30 = 150 so 25% is correct

Step-by-step explanation:

Answer:

[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]

[tex]\pi =3.14[/tex]

[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]

[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]

Step-by-step explanation:

1. Volume of sphere

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

2. Volume of hemisphere

[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]

The volume of hemisphere  is 1,41,130.7 cubic inch.

The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

Given the radius of hemisphere  = 40.7 inches

to find the volume,

volume of hemisphere  = 2/3πr³

volume of hemisphere  = 2/3(3.14)(40.7)³

volume of hemisphere  = 2/3(3.14)(67419.143)

volume of hemisphere  = 1,41,130.7 cubic inch.

Hence the volume is 1,41,130.7 cubic inch.

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Answer:

D

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

2.5(4k+2) =12k

2.5*6k=12k

Answer: 2.5

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Each term is a fourth of the term before.

So, each term is the previous term multiplied by 1/4

Answer:

1/4

Step-by-step explanation:

Answer:

The one with the fraction is the answer.

Step-by-step explanation:

Quotient means dividing, so the answer has to have a fraction sign in it. We can't see the answer options properly, so whatever one with the fraction is the one you should choose. I think it's the third option that you wrote.

Hope this helped!

Answer:

It’s d

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.25x +6 =74.25

5.25x = 74.25 -6

5.25x =68.25

x = 68.25÷5.25

x = 13

Answer:

x=13

Step-by-step explanation:

1) Subtract 6 from both sides.

2) Divide by 5.25 on both sides to get x on its own.

[tex]5.25x+6=74.25\\5.25x+6-6=74.25-6\\5.25x=68.25\\\frac{5.25x}{5.25} = \frac{68.25}{5.25} \\x=13[/tex]

Answer:

-x (2 x - 5) (3 x + 2)

Step-by-step explanation:

Factor the following:

-6 x^3 + 11 x^2 + 10 x

Factor -x out of -6 x^3 + 11 x^2 + 10 x:

-x (6 x^2 - 11 x - 10)

Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):

-x 2 x (3 x + 2) - 5 (3 x + 2)

Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):

Answer:  -x (2 x - 5) (3 x + 2)

Answer:

The nth term of the geometric sequence is is 32805

Step-by-step explanation:

The nth term of a geometric sequence is given by

[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]

Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio

We are given the fourth term of this sequence

[tex]a_4 = -135[/tex]

The common ratio is

[tex]r = -3[/tex]

Once we find the 1st term then we can find any other term.

[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]

So the ninth term of this geometric sequence is

[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]

Therefore, the nth term of the geometric sequence is is 32805

Answer:

2.24

Step-by-step explanation:

[tex]\sqrt{5}[/tex] = 2.236067977...

Rounded to the nearest hundredth = 2.24

Answer: 2.24

Step-by-step explanation:

Use a calculator of some sort and find the square root of 5. Round to two decimal places after the whole number.

[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.

This means that these two are equal. hope this helps!

8/25 is equal to 0.32

let me know if u need explanation

The lateral surface area of the rectangular prism is: D. 240 cm²

The lateral surface area of rectangular prism =  2(l + w)h.

Given the following:

Plug in the values into the formula

Lateral surface area of the rectangular prism =  2(9 + 6)8

Lateral surface area of the rectangular prism =  240 cm²

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Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Step-by-step explanation:

Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

From the given figure of trapezium, we have

a = 10 m

b = 16 m

h = 7.6 m

Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]

Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].

Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]

[tex]= 52[/tex] litres

Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]

then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]

Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]

Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Answer:

Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8

Answer: Yes

if the selection is randomly picked and it's within the statistical population.

Step-by-step explanation:

Sampling is the random selection of objects within the statistical data or population.

This random selected individual will represent the whole population.

If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.

Answer:  

How many pets do my teachers have?

How many points did the high school soccer team score in its last few games?

Which of our school books has the most pages?

How many handstands can I do in 10 mins?

Step-by-step explanation:

To turn a question into a statistical question, make the question so that you can collect more than one piece of data. This is what makes a statistical question statistical.

The Statistical question are:

A statistical query will ask a question with a variable response. After collecting and analysing data, the answer might provide an interpretation of the information.

A statistical question is one that can be answered by gathering varying amounts of data.

Make the question so that you can collect more than one piece of data to convert it into a statistical query.

So, the Conversion into statistical question are

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Answer:

[tex]3x^2-13x+4[/tex]

Step-by-step explanation:

[tex](x - 4)(3x - 1)[/tex]

[tex]3x^2-1x-12x+4[/tex]

[tex]3x^2-13x+4[/tex]

Answer:

The length WX is about 14 feet.

Step-by-step explanation:

This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]

Therefore, the length WX is about 14 feet.

10m + n^2/4

m = 5

n = 4

We can now substitute numbers in for the variables.

10(5) + (4)^2/4

50 + 4^2/4

50 + (4 * 4)/4

50 + 16/4

50 + 4

= 54

Answer:

Its 54 guys explanation in COMMENTS

Heres rule for 2nd term

x^n/x^(n-1) = x

Answer:

1/5

Step-by-step explanation:

F(x)=x^2

g(x)=1/(2x+3)

g(f(-1))=?

x=-1→f(-1)=(-1)^2→f(-1)=1

g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5

Answer:

180-88

92

Step-by-step explanation:

x=92

Answer:

I think its 92

Step-by-step explanation:

Supplementary angles always add up to 180

Answer:

use calculator

Step-by-step explanation:

1/500=0.002

3 2/25=308%

2.6=2 6/10

0.25%=0.0025

Answer:

They are actually in the correct order left to right !

Step-by-step explanation:

1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.

1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.

In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!

As stated above when displaying percentages in decimal form:

100% = 1,

25% = 0.25,

1% = 0.01,

0.25% = 0.0025!