10)A shirt normally costs £42. If you receive a 15% discount, how much change will you get from £50? o £35.70 o £23.00 o £8.00 o £14.30​

Answer:

30 degrees

Step-by-step explanation:

inscribed angle angle x encompasses   360 - 120 - 180 = 60 degrees of arc

  this is 2 times the measure if the inscribed angle

 angle B = 30 degrees

Use exp/log functions to rewrite y as

[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]

One of the properties of logarithms lets us bring down the exponent, so

[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]

Simplify:

[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]

Answer:

Step-by-step explanation:

solve for variable x.

move the term containing x to the left and the rest to the right.

add -2y to each side of the equation.

 -13 +2y + -2y = 29 + -2y

combine like terms; 2y + -2y = 0

     -13x + 0 = 29 + -2y

          -13x = 29 + -2y

divide each side by -13 and then simplify;

x = -2.23 + 0.15

x = 2.38

The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The word phrase is,

''The quotient of 55 and x.''

Now, The value of mathematical expression is,

''The quotient of 55 and x.''

⇒ 55 ÷ x

⇒ 55 / x

Therefore, The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

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if its diameter is 14, then its radius is half that or 7.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]

Answer:

[tex]1436.76... units^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a sphere.

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

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

[tex]r = 14/2[/tex] [tex]= 7[/tex]

Now that you have the radius, all you need to do is plug it into the volume formula.

[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]

Answer:

The answer is C :)

Step-by-step explanation:

Answer:

-27.3 is the ans without decimal its -27-1/3

Answer:

-49 and 1/3

Step-by-step explanation:

− (-4 x -6) − (10 + 15) − 1/3

− (24) − (25) − 1/3

− 24 − 25 − 1/3

−49 − 1/3

-49 and 1/3

We are given with a sequence, which is a GP (Geometric Progression), as the ratio [tex]{\bf{a_{n+1}:a_{n}}}[/tex] is 1/3 for every [tex]{\bf{n\in \mathbb{N}}}[/tex], so 1/3 is the comman ratio r, and we needa find sum till 6 terms, so n = 6, and first term is 6, so putting all the values we will be having ;

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg\{1-{\bigg(\dfrac13\bigg)}^{6}\bigg\}}{1-\dfrac13}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg(1-\dfrac{1}{3^{6}}\bigg)}{\dfrac{3-1}{3}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\div \dfrac23}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\times \dfrac32}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^{6}-1}{3^{4}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^6}{3^4}-\dfrac{1}{3^4}}[/tex]

[tex]{:\implies \quad \sf S_{6}=3^{2}-\dfrac{1}{81}}[/tex]

[tex]{:\implies \quad \sf S_{6}\approx 9-0.012\approx 8.988\approx \boxed{\bf{8.99}}}[/tex]

Answer:

3/8

(B)

Step-by-step explanation:

3+2+3=8.

There are 3 orange, so 3/8

Answer:

7/8

Step-by-step explanation:

3+3+2=8 but it said probability she selected AN orange marble

Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches

Answer:

Explanation:

With every increase in side, there is an increase in dots

=============

Option B has 4 sides and 4 dots.

Answer:

The number is 16.

Step-by-step explanation:

So we need to find 3/4 of a number to get 12.

We don't know what the number is, so we assign it a variable. We will assign the variable x and try to solve it.

We translate our problem into an equation. Since x is the variable and we multiply by 3/4,  we get the value of 12, which is exactly what we are trying to do.

(3/4)(x) = 12

To solve, we multiply both sides by 4/3, because in order to solve for x (the variable), it needs to be separated and isolated from everything else.

(4/3) * (3/4)(x) = (4/3) * 12

4/3 * 3/4 = 1 and (4*12)/3 = 48/3 = 16

x = 16

The number is 16.

Answer: 9 sides

Step-by-step explanation:

      If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.

180°(n-2) = 1,260°

n - 2 = 7

n = 9

Find midpoint coordinates:

[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]

[tex]\hookrightarrow \sf (1, \ 3)[/tex]

Find the gradient of MN:

[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]

[tex]\dashrightarrow \sf -2[/tex]

slope of perpendicular bisector:

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

Equation:

[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Answer:

[tex]y=\dfrac12x+\dfrac52[/tex]

Step-by-step explanation:

M = (-1, 7)

N = (3, -1)

[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line perpendicular to MN is:

[tex]\sf \implies -2 \times m=-1[/tex]

[tex]\sf \implies m=\dfrac12[/tex]

If the line bisects the line MN, it will intersect it at the midpoint of MN:

[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]

Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=\dfrac12(x-1)[/tex]

[tex]\implies y=\dfrac12x+\dfrac52[/tex]

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}[/tex]

Answer:

8

Step-by-step explanation:

At alpha level equal to 0.05, there is no significant difference between mean completion times.

From the complete information, the test statistic will be:

t = [(33.875 - 32.375) - 0]/8.1472 × ✓0.25

t = 0.3682

The tabulated value is 1.76. Therefore, we will accept the null hypothesis. Therefore, there is no significant difference between mean completion times.

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Answer:

30.519 g

Step-by-step explanation:

The relation

Solving

Answer:

C. 891.

Step-by-step explanation:

This is a regular nonagram ( has 9 sides) so the area is the sum of 9 congruent triangles.

Area of a triangle = 1/2 * base * height

Area of 1 triangle in this  polygon = 1/2 * 12 * 16.5

Area of the polygon = 9 *  1/2 * 12 * 16.5

=  891

it will be 3375 bacteria my ducky

Answer:

5. Perpendicular

6. Parallel

7. Transversal

8. Perpendicular

9. Parallel

10.Transversal

Step-by-step explanation:

Answer:

See below ↓↓

Step-by-step explanation:

Plan 1

Plan 2

Part A

Equating them

⇒ 127x = 363 + 94x

⇒ 33x = 363

⇒ x = 11 months [They will be same at this point]

Part B

⇒ Plan 1 : 127(24) = $3048

⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619

⇒ I would recommend Plan 2 as it costs less for the time period of 2 years

The Formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]

   Volume = [tex]\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510[/tex]

The volume is 33.51 cubic feet

Hope that helps!

Answer:

[tex]x =\frac{17}{18} +\frac{1}{18} \sqrt{3349}[/tex] OR [tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Step-by-step explanation:

9x2−17x−85=0

For this equation: a=9, b=-17, c=-85

9x2+−17x+−85=0

Step 1: Use quadratic formula with a=9, b=-17, c=-85.

[tex]x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}[/tex]

[tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Answer:

Blue label

Step-by-step explanation:

All that matters here is # of bottles sold * profit per bottle.

If you multiply these 2 values for each row you will see the blue label has the highest amount of profit.

Among all the product ranges blue label generated the most profit of $5625.

Profit is basically the difference between the total revenue and the total cost of the product.

Profit=Total Revenue- Total cost.

We know that Average profit= total profit/ number of units.

So the profit will be as average profits* number of units.

So the profit of product ranges will be =average profit * number of bottles.

Profit of red label=1.12*3000

=$3360

Profit of black label=1.5*2000

=$3000.

Profit of gold label=2.75*1000

=$2750

Profit of white label=1.20*2750

=$3300

Profit of blue label=2.25*2500

=$5625.

Hence among all the product ranges blue label has generated maximum profit.

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Answer: 55 mph

Step-by-step explanation: rate=distance/time=275/5=55 miles per hour

Step-by-step explanation:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

Answer:

A,B,C

Step-by-step explanation:

Just divide them hope this helps x