what is the value of the angle marked with x ​

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote [tex]a^7[/tex] as [tex]a^2 * a^5[/tex] instead of [tex]a^6 * a[/tex].

The square root of [tex]a^6[/tex] is [tex]a^3[/tex] and so she could have further simplified.

The correct simplification is shown below:

[tex]\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}[/tex]

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote as instead of .

The square root of is and so she could have further simplified.

Step-by-step explanation:

On edge2021

Answer:

The top of the cake is 25.12 in²

Step-by-step explanation:

Hello!

So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.

Lets write out the circumference formula and use that to help us.

c = 2[tex]\\\pi[/tex] x r

pi is 3.14....

But lets use 3.14

c = 2(3.14) x 4

Plus this into a calculator and we get 25.12 as the answer.

Answer:

≈50.265 [tex]in^{2}[/tex]

Step-by-step explanation:

You first have to find the radius since the formula for the area of a circle is  A=[tex]\pi r^{2}[/tex].

Since the radius is half the diameter, just divide 8 by 2 which will give you 4.

r=4

Now plug in the radius into the formula and simplify.

A=[tex]\pi 4^{2}[/tex]

[tex]A=\pi 16[/tex]

≈50.265 [tex]in^{2}[/tex]

Answer:

-5/24 miles

Step-by-step explanation:

The submarine descends at a rate of -5/6 miles every 4 minutes.

To find the depth of the submarine relative to sea level after the first minute, we have to multiply the rate of descent by he time spent (1 minute). That is:

[tex]\frac{\frac{-5}{6} }{4} * 1[/tex]

=> D = -5 / (6 * 4) = -5/24 miles

Therefore, the submarine's depth is -5/24 miles.

Answer:

-1 1/5

Step-by-step explanation:

I took the test and this was the correct answer :D

Answer:

y=3x+5

Step-by-step explanation:

Answer:

The correct option is

This is a polynomial function of degree 7 with a leading coefficient of -1

Step-by-step explanation:

Functions that consist of a variable such as x raised to positive integer powers which are equal to or larger than zero added together to make the function are known as polynomial functions

Therefore, the function in the question which is f(X) = x⁴ × (2 - x³) + 1

Which can be expanded as follows

f(x) = 2·x⁴ - x⁷ + 1, which is the same as given as follow equation;

f(x) = -x⁷ + 2·x⁴ + 1

Which is  polynomial function with a leading coefficient of -1 as it consists of only whole number positive powers of x including the powers of x 4 and 7  

Therefore, the correct option is that f(x) is a polynomial function of degree 7 with a leading coefficient of -1.

Answer:

  £531.52

Step-by-step explanation:

We are given the profit in week 1 and information about week 2. We are asked for the difference between week 2 profit and week 1 profit.

__

In week 2, pizza is sold 4 ways. The diagram shows the numbers of pizzas sold each way. The table shows the profit made for each way the pizza was sold. We need to add up the profits from each of the sales to find the profit for week 2.

Then the total profit in week 2 is ...

  £1514.04 -175.42 +888.94 -5.68 = £2221.88

So, profit in week 2 exceeds profit in week 1 by ...

  £2221.88 -1690.36 = £531.52 . . . more profit in week 2

Answer:

19

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< DBG = 1/2 ( DG)

< DBG = 1/2 ( 360 - BD - BG)

           = 1/2 ( 360 - 172 - 150)

           = 1/2 (38)

           = 19

Answer:

The y-axis.

Step-by-step explanation:

This is because it is mirroring across the y-axis, and the x-coordinate's sign is getting changed from positive to negative.

Answer:

Y-axis

Step-by-step explanation:

B is a reflection of point A across theY-axis. The vertical line is Y and the horizontal line is X.

Answer:

Option A.3

Step-by-step explanation:

If its rise over run the fraction should be right 2 up 6 makeing a fraction of

6/2 which equals 3

The line has a slope of 3

Answer:

3

Step-by-step explanation:

You remove the brackets and round down to the nearest whole number which is three..

Edge 2020

~theLocoCoco

Answer:

a

Step-by-step explanation:

edge 2021

The answer is B. Shooting. Shooting is a sport on dry land, while the other three are aquatic sports, that is, they are on or in the water.

Answer:

interquartile range=20.55

Step-by-step explanation:

5.6, 11.1, 19.2, 24.5, 33.3

median is  19.2

Q1=(5.6+11.1)/2=8.35

Q3=(24.5+33.3)/2=28.9

interquartile range= Q3-Q1=28.9-8.35=20.55

Answer:

see below

Step-by-step explanation:

The feasible region is the shaded area. We just need to find the coordinates of its vertices. These are (200, 200), (300, 0), (500,0) and (300, 200).

Answer

Point b is (0,0) Point a is (3,-2) Im not doing the second part

Step-by-step explanation:

Answer:

2x2x7

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Take -2 and add it to 10 and get 12. So then the equation is 2x=12. Divide 2 by 12 and get x=6.

Answer with explanation:

Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.

The two expressions are

1. 7 x +4

2. 3 x +5 +4 x =1

Adding and subtracting Variables and constants

→7 x +5=1

→7 x +5-1

→7 x +4

→ When x=2,

7 x + 4 =7×2+4

=14 +4

=18

So, Both the expression has same value =18.

→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.

Correct options among the given statement about the expressions are:

1.When x = 2, both expressions have a value of 18.

2.The expressions have equivalent values for any value of x.

3.The expressions have equivalent values if x = 8.

Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

Answer:

It would be the graph that has point (0,12) and is decreasing to the right.

8% lower means the gauge is showing 92% of the original pressure

( 100% - 8% = 92%)

Divide the pressure the gauge is showing by 92%

33.58 / 0.92 = 36.5

The actual pressure is 36.5

Step-by-step explanation:

Total=44,064

Host countries= 2

2nd most popular country= x

Popular country=x+8382

x+x+8,382=44,064

2x=44,064-8,382=35,682

2x=35,682

x=17,842

2nd most popular=17,842

Popular=17,842+8,382=26,224

Answer=26,224

There were students who studied abroad in the most popular host country by forming the equation is 26,224

How equations are formed?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

Here, It is given:

Total number of students = 44,064

Number of Host countries= 2

Let the 2nd most popular country= x

So, the Popular country becomes x+8382

Now, According to the question:

⇒x+x+8,382=44,064

⇒2x=44,064-8,382=35,682

⇒2x=35,682

⇒x=17,842

Hence, The number of students in 2nd most popular country=17,842

And, The number of students in a popular country

= 17,842+8,382=26,224

To learn more about forming equations, visit:

https://brainly.in/question/29041303

#SPJ2

Answer:

The slope is 1/3 and the y intercept is 6

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

3y -x =18

Add x to each side

3y = x+18

Divide each side by 3

3y/3 = x/3 +18/3

y = 1/3x +6

The slope is 1/3 and the y intercept is 6

We need to solve for y (y = mx + b):

3y - x = 18

~Add x to both sides

3y = 18 + x

~Divide 3 to everything

y = 6 + x/3 or y = 6 + 1/3/x

So... 1/3 is the slope and 6 is the y-intercept.

Best of Luck!

Answer:

Step-by-step explanation:

(-13-12)/(-2-3)= -25/-5= 5

y - 12 = 5(x - 3)

y - 12 = 5x - 15

y = 5x - 3

Answer: -1.8

Step-by-step explanation:

Start at -5.5 and move the point on the number line up 3.7 spaces.

Hope it helps <3

Answer:

Your correct answer is -1.8

Step-by-step explanation:

−5.5 + 3.7

= −5.5+3.7

= −1.8

Answer:

y=-x-2

Step-by-step explanation:

y-3=-x-5

y=-x-2

Answer:

C

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 4 and (a, b) = (- 3, - 4) , thus

y - (- 4) = 4(x - (- 3)) , that is

y + 4 = 4(x + 3) → C

Answer:

AAS

Step-by-step explanation:

Δwzy=Δwzv

to prove the equality:

1- wz is a common side

angle:  wzv=wzy=90 degrees ( height of triangle)

angle v= angle y

Since WZ bisects W, it's good  to say that vwz and zwy

prove one side is equal and two angles

so ASA or AAS is the answer

Answer:

[tex]\boxed{f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}}[/tex]

Step-by-step explanation:

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

[tex]f(x)=y[/tex]

[tex]y=2x^2-3x[/tex]

Switch variables.

[tex]x=2y^2-3y[/tex]

Solve for y.

Multiply both sides by 8.

[tex]8x=16y^2-24y[/tex]

Add 9 on both sides.

[tex]8x+9=16y^2-24y+9[/tex]

Take the square root on both sides.

[tex]\sqrt{8x+9} =\sqrt{16y^2-24y+9}[/tex]

Add 3 on both sides.

[tex]\sqrt{8x+9}+3 =\sqrt{16y^2-24y+9}+3[/tex]

Divide both sides by 4.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{\sqrt{16y^2-24y+9}+3}{4}[/tex]

Simplify.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y-3+3}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}=y[/tex]

Inverse y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}[/tex]

Answer:

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Step-by-step explanation:

[tex] f^{-1}(x) = 2x^2 - 3x [/tex]

Change function notation to y.

[tex] y = 2x^2 - 3x [/tex]

Switch x and y.

[tex] x = 2y^2 - 3y [/tex]

Solve for y.

[tex] 2y^2 - 3y = x [/tex]

Complete the square on the left side. We must divide both sides by 2 to have y^2 as the leading term on the left side.

[tex] y^2 - \dfrac{3}{2}y = \dfrac{x}{2} [/tex]

1/2 of 3/2 is 3/4. Square 3/4 to get 9/16.

Add 9/16 to both sides to complete the square.

[tex] y^2 - \dfrac{3}{2}y + \dfrac{9}{16} = \dfrac{x}{2} + \dfrac{9}{16} [/tex]

Find common denominator on right side.

[tex] (y - \dfrac{3}{4})^2 = \dfrac{8x}{16} + \dfrac{9}{16} [/tex]

If X^2 = k, then [tex] X = \pm \sqrt{k} [/tex]

[tex] y - \dfrac{3}{4} = \pm \sqrt{\dfrac{1}{16}(8x + 9)} [/tex]

Simplify.

[tex] y = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Back to function notation.

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Answer:

Step-by-step explanation:

diameter=2×5=10 cm

32/10=3.2≈3

128/10=12.8≈12

total number of squares=12×3=36

Answer:

VX = 8.8 in

Step-by-step explanation:

By applying Sine rule in the right triangle WXV,

Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{\text{VX}}{\text{WX}}[/tex]

Sin(34)° = [tex]\frac{VX}{15}[/tex]

VX = 15.Sin(34)°

     = 8.8379

     ≈ 8.8 in.

Therefore, measure of side VX is 8.8 in.