find the value of x. 43°

Answer:

The market price of the article is Rs. 978.72

Step-by-step explanation:

Let x represents the market price.

Let y represents the selling price.

Let z represents the cost price.

if an article is sold with 20% discount then there will be a profit of 15%.

SP = CP+Profit =z+0.15z=1.15z

ATQ

[tex]0.80x = 1.15z\\0.80x- 1.15z = 0[/tex]

If it is sold at 10% discount then there will be a profit of Rs.200

ATQ

[tex]0.9x - z = 200[/tex]

Now we are supposed to find the market price of an article.

[tex]0.9x - z= 200[/tex]

Multiplying 1.15 both sides

[tex]0.9x \times 1.15 - 1.15z = 200 \times 1.15\\1.035x - 1.15z = 230[/tex]

We know that[tex]1.15z = 0.80x[/tex]

[tex]1.035x - 0.80z = 230\\0.235x = 230\\x = \frac{230}{0.235}\\x= Rs. 978.72[/tex]

Hence The market price of the article is Rs. 978.72

Answer:

Perimeter = 20cm ; area = 59.5cm

Step-by-step explanation:

Given the following :

Perimeter of entire figure = 42cm

Diameter of circle (d) = 7cm

Find the perimeter of the circle :

The perimeter (p) of a circle equals :

2πr

Where r = radius of circle

r = diameter /2 = 7/2 = 3.5cm

Therefore,

P = 2 * (22/7) * 3.5

P = 22 cm

Looking at the figure, we only take the semicircle :

Therefore perimeter of each semicircle =

22cm / 2 = 11cm

Therefore, perimeter of the red shaded region =

(42 - 22)cm = 20cm

Area of Circle = πr^2

(22/7) * 3.5^2 = 38.5 cm

Area of each semicircle = 38.5/2 = 19.25cm

Total area of semicircle = (19.25 +19.25) = 38.50cm

To find sides of rectangle :

Perimeter of the rectangle :

width = diameter of circle = 7cm

2(l + w) = 42

2(l + 7) = 42

2l + 14 = 42

2l = 42 - 14

2l = 28

l = 28/2

length (l) = 14cm

Therefore, area of rectangle :

Length * width

14 * 7 = 98cm

Area of red portion:

Area of rectangle - (area of the 2 semicircles)

98cm - 38.50cm

= 59.50cm

Answer:

Increasing if X is positive decreasnig if X is negative

Step-by-step explanation:

Answer:

increasing

Step-by-step explanation:

positive slope of 75 so line goes up to the right

Answer:

[tex]-8y^{25}\\-9y^6\\5y^5[/tex]

Step-by-step explanation:

First one.

[tex]((-y)^5)(8y^{20})=-y^5*8y^{20}=-8y^{5+20}=-8y^{25}[/tex]

Second one

[tex]((-y)^{5} )(9y)=-y^5*9y=-9y^{5+1}=-9y^6[/tex]

and last one

[tex]((-y)^5)(-5)=-y^5*(-5)=5y^5[/tex]

Answer:

[tex]\boxed{y=|\frac{1}{2}x - \frac{3}{2}|+3}[/tex]

Step-by-step explanation:

The translation is a horizontal translation.

The graph is translated 1 unit to the left. So the value of x is added by 1.

[tex]f(x+1)[/tex]

[tex]y=|\frac{1}{2} (x+1)-2|+3[/tex]

[tex]y=|\frac{1}{2}x + \frac{1}{2} -2|+3[/tex]

[tex]y=|\frac{1}{2}x + - \frac{3}{2}|+3[/tex]

Answer:

Step-by-step explanation:

common denominator

[tex](\sqrt(2)+1)(\sqrt(2)-1) = (\sqrt{2})^2-1^{2}=2-1 = 1[/tex]

Add with common denominator

[tex]\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.[/tex]

[tex]= \frac{{\sqrt2-1}}{1} + \frac{\sqrt2+1}{1}[/tex]

[tex]=2* (\sqrt2)[/tex]

Answer:

d. 20

Step-by-step explanation:

To answer the question given, we will follow the steps below:

we need to first find p(3)

p(x) = x+ 7/ x-1

we will replace all x by 3 in the equation above

p(3) = 3+7 / 3-1

p(3) = 10/2

p(3) = 5

Similarly to find q(2)

q (x) = x^2 + x - 2,

we will replace x by 2 in the equation above

q (2) = 2^2 + 2 - 2

q (2) = 4 + 0

q (2) = 4

The product of p(3) and q(2)   =   5 × 4   = 20

Answer:

C

Step-by-step explanation:

If (x - 3) is a factor of the polynomial then evaluating the polynomial for x = 3 should give a result of zero, that is

3² + 4(3)² + 2 = 9 + 36 + 2 = 47 ≠ 0

Thus (x - 3) is not a factor → C

Answer:

Subtract [tex]3\frac{1}{5}[/tex] from both sides.

Step-by-step explanation:

We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.

[tex]3\frac{1}{5} + n =9[/tex]

[tex]n = 5\frac{4}{5}[/tex]

Answer:

ITS A

Step-by-step explanation:

Answer:

a. 30 meters per second

b. -10 meters per second

Step-by-step explanation:

a. Average rate of change for the height from 0 to 6.6 secs can be calculated using the formula, [tex] m = \frac{H(b) - H(a)}{b - a} [/tex]

Thus,

Where,

[tex] a = 0, H(0) = 0 [/tex]

[tex] b = 6.6, H(6.6) = 198 [/tex]

Plug in the values into the formula:

[tex] m = \frac{198 - 0}{6.6 - 0} [/tex]

[tex] m = \frac{198}{6.6} [/tex]

[tex] m = 30 [/tex]

b. Average rate of change for the height from 8.8 to 13.2 secs = tex] m = \frac{H(b) - H(a)}{b - a} [/tex]

Where,

[tex] a = 8.8, H(8.8) = 44 [/tex]

[tex] b = 13.2, H(13.2) = 0 [/tex]

Plug in the values:

[tex] m = \frac{0 - 44}{13.2 - 8.8} [/tex]

[tex] m = \frac{-44}{4.4} [/tex]

[tex] m = -10 [/tex]

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

Answer:

C. 32°  

Step-by-step explanation:

If two triangles are similar, their corresponding angles must be equal.

∠D corresponds to ∠A, so

  ∠D = ∠A

  ∠A = 32°

∴ ∠D = 32°

Answer:

There is no price difference between the two stores.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine if there is a price difference between the two stores.

The hypothesis for the test can be defined as follows:

H₀: There is no price difference between the two stores, i.e. d = 0.

Hₐ: There is a price difference between the two stores, i.e. d ≠ 0.

From the information provided the sample mean and standard deviation are:

 [tex]\bar d=-0.464\\\\S_{d}=1.019[/tex]

Compute the test statistic value as follows:

 [tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}=\frac{-0.464}{1.019/\sqrt{10}}=-1.4399\approx -1.44[/tex]

The test statistic value is -1.44.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

The degrees of freedom is:

n - 1 = 10 - 1 = 9

Compute the p-value of the test as follows:

[tex]p-value=2\cdot P(t_{\alpha/2, (n-1)}>-1.44)[/tex]

               [tex]=2\cdot P(t_{0.10/2, 9}>-1.44)\\=2\times 0.092\\=0.184[/tex]  

*Use a t-table.

The p-value of the test is 0.184.

p-value= 0.184 > α = 0.10

The null hypothesis was failed to be rejected.

Thus, it can be concluded that there is no price difference between the two stores.

Answer:

m arc NP = 151°

Step-by-step explanation:

m arc MN = x

m arc NP = y

5x + 6 = y

x + y = 180, I will solve with substitution

x + (5x + 6) = 180

6x + 6 = 180

6x = 174

x = 29

y = 151

Answer:

151 or c

Step-by-step explanation:

There are 18 rectangles inside the playing field.  And if you include the fence around the field, that makes 19.

Answer:

75 meters

Step-by-step explanation:

30/50 = 45/x

x = 75

Answer:

x= 75m

Step-by-step explanation:

If we call the angle in the bottom left θ, then the sinθ=(opposite side)/(hypotenuse).

For the smaller triangle:

sinθ=30/50

And for the bigger triangle:

sinθ=45/x

So:

30/50=sinθ=45/x

30/50=45/x

x=(45•50)/30=2250/30=75

So x= 75 meters

Answer:

it's about 106.71ft

Step-by-step explanation:

make this problem a triangle. the ramp length is 312ft, and it is the hypotenuse of the triangle. 20 is the angle between the ramp and the floor. so what I did was take the sine of 20 and get: sin(20)=x/312 then you multiply both sides by 312 to isolate the variable. multiplying sin(20) by 312 gave me 106.71 + some change idk if you're supposed to round it or not haha.

Answer:

  –90° and 630°

Step-by-step explanation:

The described angle will be -90° plus any integer multiple of 360°. Possible values for the angle are ...

  -90° and 630°

_____

Angles are conventionally measured counterclockwise from the positive x-axis. The angle shown in the attachment is measured clockwise, so represents a negative 90° angle.

Answer:

–90° and 630°

Step-by-step explanation:

The answer above is correct.

Answer: The third graph (the one on the right side)

Step-by-step explanation:

The inequalities are:

2x -3y ≤ 12

y < -3

First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.

From this, we can discard the second graph (the middle one).

The first inequality can be rewritten as:

2x - 3y ≤ 12

-3y ≤ 12 - 2x

Now we divide by -3 on both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:

y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x

This means that the shaded section must be above the line:

y = -4 + (2/3)*x

Then the correct option is the third graph (rightmost graph).

Answer: c on edge 2021

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

ed2020

If Y bracelet is chosen first then there will be only two ways to give out the bracelets.

When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.

The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.

Given that Jillian has three bracelets

X, Y, and Z

Said that Y has chosen first

The remaining bracelets are X and Z

Number of ways

It means there are only two ways to give out bracelets.

Hence "If Y bracelet is chosen first then there will be only two ways to give out the bracelets".

For more about permutation and combination,

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The question is incomplete. the complete question is as follows:

The cell cycle is the process by which a single cell replicates itself. A student investigates whether cell growth during the cell cycle is linear or exponential. The table at the left gives the length, in micrometers, of an S. pombe (yeast) cell at different times after the cell cycle begins. Which of the following best describes the relationship between time and length of this cell?  

A.  It is linear because the length increases by the same factor every 10 minutes.

B.  It is linear because the length increases by the same number of micrometers every 10 minutes.

C.  It is exponential because the length increases by the same factor every 10 minutes.

D.  It is exponential because the length increases by the same number of micrometers every 10 minutes.

Answer:

C.  It is exponential because the length increases by the same factor every 10 minutes.

Step-by-step explanation:

According to the data shown, the relationship between time and length of this cell is exponential.

The relationship is exponential because the length increases by the same factor every 10 minutes.

The growth of the cell is exponential it means the optimal conditions are provided to the cell for their growth.

Hence, the correct answer is "C.  It is exponential because the length increases by the same factor every 10 minutes."

Answer:

y=3x+5

Step-by-step explanation:

Answer:

1. 677 inches = 18.056 yards

677 inches  = 56.416 feet

677 inches = 677 inches

2. QP = 23.5 cm

3. The perimeter = 53.5 cm

Step-by-step explanation:

1. To convert, 677 inches to yards, we have;

1 inch = 0.0277778 yards

677 inches = 677*0.0277778 = 18.056 yards

To convert, 677 inches to feet, we have;

1 inch = 0.083333 feet

677 inches = 677*0.083333  = 56.416 feet

To convert, 677 inches to inches, we have;

1 inch = 1 inch

677 inches = 677*1  = 677 inches

2. We have that ∠PRQ and ∠PRS are supplementary angles (angles on a straight line

Given that ∠PRS = 90°, ∠PRQ = 180° - 90° = 90°;

∠PRQ + ∠PQR + ∠RPQ = 180°, sum of angles in a triangle

∠PQR = 24° given

∠PRQ = 90°

∴  ∠RPQ = 180° - 90° - 24° = 66°

∴∠SPQ = ∠SPR + ∠RPQ = 36° + 66° = 102°

∠QSP + ∠SPQ + ∠PQS = 180° (sum of angles in a triangle)

∠QSP = 180° -∠SPQ - ∠PQS = 180° -102° - 24 = 54°

By sine rule, we have;

a/(sin(A)) = b/(sin(B))

Therefore, we have;

11.8/(sin(24)) = QP/(sin(54°))

QP = (11.8/(sin(24))) × (sin(54°)) = 23.5 cm

3. From trigonometric ratios, we have;

tan(43°) = BC/CA = BC/(16.2 cm)

BC = 16.2 cm × tan(43°) = 15.1

By Pythagoras theorem, we have;

AB = √(15.1² + 16.2²) = 22.2

The perimeter = 15.1 + 16.2 + 22.2 = 53.5 cm

Answer:

Option D. 5 EE 6 ÷ 6.6 EE 4

Step-by-step explanation:

Data obtained from the question include the following:

Area of land purchased = 6.6×10^4 square miles

Cost = $ 5×10^6

To determine the key strokes on a calculator which will give the cost the

United States paid for each square mile of Florida, let us calculate cost of 1 square mile.

This can be obtained as follow:

6.6×10^4 sq mile = $ 5×10^6

Therefore,

1 sq mile = $ 5×10^6 ÷ 6.6×10^4

In calculator, the key strokes will be:

5 EE 6 ÷ 6.6 EE 4

Answer:

Like Eduard22sly said D). 5 EE 6 ÷ 6.6 EE 4 is correct.

plus i took the test 100% :)

Answer:

x=8 number of children

y=32 number of adults

Step-by-step explanation:

x be children and y for adults

x+y=40 ⇒ y=40-x

11x+20y=728 solve by substitution of y=40-x

11x+20(40-x)=728

11x+800-20x=728

-9x=728-800

x=72/9 ⇒ x=8 number of children

y=40-x

y=40-8⇒ y=32 number of adults

Incomplete question. However, let's assume this are feasible regions to consider:

Points:

- (0, 100)

- (0, 125)

- (0, 325)

- (1, 200)

Answer:

Maximum value occurs at 325 at the point (0, 325)

Step-by-step explanation:

Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.

- For point (0, 100): P= 2(0) + 1.5 (100) =150

- For point (0, 125): P= 2(0) + 1.5 (125) =187.5

For point (0, 325): P= 2(0) + 1.5 (325) = 487.5

For point (1, 200): P= 2(1) + 1.5 (200) = 302

Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.

Answer: square 105

Step-by-step explanation: Confirming answer

A radical expression is an expression containing a square root, mostly a square root.

The value of √3.√5.√7 in radical form is √105.

A radical expression is an expression containing a square root, mostly a square root.

We have,

√3.√5.√7

We can multiply the numbers together.

= √(3 x 5 x 7 )

= √(15 x 7)

= √105

Thus the value of √3.√5.√7 in radical form is  √105.

Learn more about radical form here:

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Answer:

A. 2

Step-by-step explanation:

Well let’s first graph the following,

[tex]x^2 + y = 8[/tex]

[tex]x=y[/tex]

So on the graph the system of equations only have 2 real solutions which are

(-3.272, -3.272) (2.372,2.372)

Answer: 4^3

(Four cubed or Four to the power of 3)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This is because it has a constant rate of change.

5 x 1.5 = 7.5

6 x 1.5 = 9

7 x 1.5 = 10.5

You can find this image by dividing y by x and testing this rate of change on the other y values. Thus C is correct.

[tex]\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 = \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 = -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}[/tex]