The shaded figure is a rhombus.

The area of the shaded section is 60 square units. What is the value of x?

Step-by-step explanation:

cross multiply to get 3x:= 10( -5/2)

3x=-25

x=25/3

x=8 rem 1

8.33

Answer:

The logarithmic parent function is the only one with negative numbers in the range

Step-by-step explanation:

Hello,

These functions have been very well known, I remind you their graphs below

The logarithmic parent function is the only one with negative numbers in the range

range for square root is [tex]\mathbb{R^{+}}[/tex]

range for logarithmic is [tex]\mathbb{R}[/tex]

range for exponential is [tex]\mathbb{R^{+}}[/tex]

THAT S TRUE

The square root and logarithmic parent functions have the same domain

domain for square root is [tex]\mathbb{R^{+}}[/tex]

domain for logarithmic is [tex]\mathbb{R}[/tex]

THAT S WRONG

The square root parent function domain is the most restricted

domain for square root is [tex]\mathbb{R^{+}}[/tex]

domain for exponential is [tex]\mathbb{R^{+}}[/tex]

THAT S WRONG

All three parent functions have the same domain

domain for square root is [tex]\mathbb{R^{+}}[/tex]

domain for exponential is [tex]\mathbb{R^{+}}[/tex]

domain for logarithmic is [tex]\mathbb{R}[/tex]

THAT S WRONG

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

-5-2c

Step-by-step explanation:

The additive inverse of a term must be the opposite of it.

●-(5+2c)

●-5-2c

Answer:

Step-by-step explanation:

The additive inverse is just the opposite of the binomial in terms of the signs. The additive inverse of 5 + 2C is -(5 + 2C) which is, without parenthesis,        -5 - 2C.

Answer:

(i)  X+2 and x+3;

(ii) x( x+4)= X^2 +4x;

(iii) x( x+4)=a

    (x+1)(x+3)= a+3  

Step-by-step explanation:

(i)  X+2 and x+3;

(ii) x( x+4)= X^2 +4x;

(iii) (x+1)(x+3)=x^2+3X+X+3=x^2+4x+3;

x(x+4)=a

(x+1)(x+3)= a+3

Step-by-step explanation:

x is followed by x+1 so each time we add one

our sequence goes like this:

the first number is x and the fourth one is x+3

the second number is x+1 and the third one is x+2

the first product is x²+3x and the second one is x²+3x+2

Let P be x²+3x and P' be x²+3x+2

Answer:

The amount of CD's she could buy would be 3.

Step-by-step explanation:

80-20=60

60÷18 = 3 CD's

Answer:

1,2,3

Step-by-step explanation:

Answer:

Hello! The answer to your question will be below.

Step-by-step explanation:

The answer would be clockwise.

So point k was rotated 90 degrees clockwise.....

Review.....

Question:

Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.

THE DIRECTION OF THE ROTATION WAS CLOCKWISE.

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Answer:

clockwise.

So point k was rotated 90 degrees clockwise.....

Review.....

Question:

Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.

Step-by-step explanation:

Answer:

Surface Area: 150.796

Volume: 141.372

Step-by-step explanation:

Cylinder Surface Area: 2Πrh+2Πr^2

r=3

h=5

2Π15+2Π9=30Π+18Π=48Π=150.796

Volume: Πr^2h

Π45=141.372

Hope this helps! BRAINLIEST would really help me:)

Answer:

150.8 units²

141.37 units³

Step-by-step explanation:

Surface area of cylinder:

[tex]2 \pi r^2+2 \pi rh[/tex]

[tex]r=3\\h=5[/tex]

[tex]2 \pi (3)^2+2 \pi (3)(5)[/tex]

[tex]18\pi +30\pi[/tex]

[tex]=150.8[/tex]

Volume of the cylinder:

[tex]\pi r^2 h[/tex]

[tex]r=3\\h=5[/tex]

[tex]\pi (3)^2 (5)[/tex]

[tex]45\pi[/tex]

[tex]=141.37[/tex]

Answer:

Option A.

Step-by-step explanation:

See attachment.

Basically, the reason why I left it at cm(3) was because that's the standard unit for volume, any length of measurement to the third power.

Answer: 6 - 5

Step-by-step explanation:

|z - 6| - |z - 5|    ; z < 5

Since z < 5, then

|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:

-(z - 6) =  -z + 6

|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:  

-(z - 5) = -z + 5

Now subtract them without the absolute value signs:

-z + 6 - (-z + 5)

Distribute the negative sign:

-z + 6 + z - 5

-z + z = 0 which leaves:

6 - 5

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5)

now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Answer:

c is 35

d is 13

Step-by-step explanation:

I multiplied both sides, and then simplified the equation.

( plz give me brainliest, that would be most appreciated! )

Answer:

  3.5 times as large

Step-by-step explanation:

The ratio can be written using a colon or a fraction bar. In the latter case, simplifying the fraction gives you your answer:

  a : b = 7 : 2 = 7/2

'a' is 7/2 = 3.5 times as large as 'b'

Answer:

y = 8

Step-by-step explanation:

The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.

Answer:

q = 4 mi

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

[tex]\sqrt{2}[/tex] × q = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

q = 4

Answer:

2288

Step-by-step explanation:

Answer:

Step-by-step explanation:

In triangle DEF, we have:

Given:

<EDF=56°

<EFD=84°

So, <DEF =180° - 56° - 84° =40° (sum of triangle angles is 180°)

____________

DE is a midsegment of triangle ACB

( since CD=DA(given)=>D is midpoint of [CD]

and BE = EA => E midpoint of [BA] )

According to midsegment Theorem,

. (DE) // (CB) "//"means parallel

. DE = CB/2 = FB =CF

___________

DEBF is a parm /parallelogram.

Proof: (DE) // (FB) [(DE) // (CB)]

AND DE = FB

Then, <EBF = <EDF = 56°

___________

DEFC is parm.

Proof: (DE) // (CF) [(DE) // (CB)]

And DE = CF

Therefore, <DCF = <DEF =40°

___________

In triangle ACB, we have:

<CAB =180 - <ACB - <ABC =180° - 40° - 56° =84° (sum of triangle angles is 180°)

[tex]HOPE \: THIS \: HELPS.. GOOD \: LUCK![/tex]

Answer:

The mean number of the children is 1.2

Step-by-step explanation:

Given

Children: 0, 1, 2, 1, 2

Required

Determine the Mean number

The mean of a set is calculated as follows;

[tex]Mean = \frac{\sum x}{n}[/tex]

Where x is the given set and n is the number of sets

In this case, n = 5 children

Hence;

[tex]Mean = \frac{0 + 1 + 2 + 1 + 2}{5}[/tex]

[tex]Mean = \frac{6}{5}[/tex]

[tex]Mean = 1.2[/tex]

Hence, the mean number of the children is 1.2

Answer:

X ^3 (4x+1) (4x-1)

Step-by-step explanation:

Factor x3 out of  16x5−x3

Rewrite 16x2 as  (4x)2

Rewrite 1 as 1^2

Factor

x^3 (4x+1) (4x-1)

I hope I helped

Diagram related to the question can be found in the attached picture below :

Answer: 6 units

Step-by-step explanation:

From the diagram attached to the question:

Length AB = 17

Length DC = 8

height (h) = x

Area of trapezium = 75sq units

The Area (A) of a trapezium is given by:

(1/2) × (a + b) × h

Where ;

a and b are the upper and base lengths of the trapezium

h = height of trapezium

A = (1/2) × (a + b) × h

75 = (1/2) * (17 + 8) * x

75 = 0.5*25*x

75 = 12.5x

x = 75 / 12.5

x = 6 units

Answer:

1. Cosine

2. x = 49°

3. Sine

4. y = 41°

Step-by-step explanation:

1. The trig function that will be used to solve for x is cosine.

2. Determination of angle x

x° =..?

Adjacent = 13

Hypothenus = 20

Cos x = Adjacent /Hypothenus

Cos x = 13/20

Take the inverse of Cos

x = Cos¯¹ (13/20)

x = 49°

3. The trig function that will be used to solve for y is sine.

4. Determination of angle y.

y° =..?

Opposite = 13

Hypothenus = 20

Sine y = Opposite /Hypothenus

Sine y = 13/20

Take the inverse of Sine

y = Sine¯¹ (13/20)

y = 41°

Answer:

10) [tex]10v^2-19v+6[/tex]

11) [tex]15x^3-7x^2-29x+20[/tex]

Step-by-step explanation:

Well first let's make the box.

10)

Look at the image below ↓

[tex]10v^2-19v+6[/tex]

11)

Look at the image below ↓

[tex]15x^3-7x^2-29x+20[/tex]

Thus,

number 10 is [tex]10v^2-19v+6[/tex] and number 11 is [tex]15x^3-7x^2-29x+20[/tex].

Hope this helps :)

Answer:

(a) The probability that the average of the draws will be in the range 80 to 120 is 1.

(b) The probability that the average of the draws will be in the range 99 to 101 is 0.6827.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As the sample selected is quite large, i.e. n = 400 > 30, then the sampling distribution of sample means will be approximately normally distributed.

Compute the mean and standard deviation of sample mean as follows:

[tex]\mu_{\bar x}=\mu=100\\\\\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{20}{\sqrt{400}}=1[/tex]

So, [tex]\bar X\sim N(100, 1)[/tex]

(a)

Compute the probability that the average of the draws will be in the range 80 to 120 as follows:

[tex]P(80<\bar X<120)=P(\frac{80-100}{1}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{120-100}{1})[/tex]

                            [tex]=P(-20<Z<20)\\\\=P(Z<20)-P(Z<-20)\\\\=(\approx1)-(\approx0)\\\\=1[/tex]

Thus, the probability that the average of the draws will be in the range 80 to 120 is 1.

(b)

Compute the probability that the average of the draws will be in the range 99 to 101 as follows:

[tex]P(99<\bar X<101)=P(\frac{99-100}{1}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{101-100}{1})[/tex]

                            [tex]=P(-1<Z<1)\\\\=P(Z<1)-P(Z<-1)\\\\=0.6827[/tex]

Thus, the probability that the average of the draws will be in the range 99 to 101 is 0.6827.

Answer: x = 137°

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.

x + 43° = 180°

      x   =  137°

The value of x is 137°.

The quadrilateral whose all 4 vertices lie on the circumference of the circle is called an inscribed quadrilateral.

In inscribed quadrilateral opposite angles are supplementary i.e. sum of those opposite angles is 180°.

Here given in the picture that the measurements of the two opposite angles in the inscribed quadrilateral in the circle are 43° and x°.

So as we know in the inscribed quadrilateral opposite angles are supplementary.

So sum of those opposite angles in the quadrilateral is 180°.

so we can write x+43°= 180°

⇒ x = 180°- 43°

⇒ x = 137°

Therefore the value of x is 137°.

Learn more about inscribed quadrilateral

here: https://brainly.com/question/26690979

#SPJ2

Answer:

y = 3/4( x+5)( x+4) ( x-1)

Step-by-step explanation:

The formula for the polynomial is

y = c( x- a1)( x- a2) ( x-a3)  where c is a constant and a1,a2,a3 are the zeros

We have zeros -5,-4 and 1

y = c( x- -5)( x- -4) ( x-1)

y = c( x+5)( x+4) ( x-1)

We have a y intercept of -15

That means x=0 and y = -15

-15 = c ( 0+5)( 0+4) ( 0-1)

-15 = c( 5) ( 4) (-1)

-15 = c( -20)

Divide each side by -20

-15/-20 = c

3/4 =c

The equation is

y = 3/4( x+5)( x+4) ( x-1)

Answer:

1290000

Step-by-step explanation: Given that

The volume of the Sun is about = 1.41 x 10^18 cubic kilometers.

The volume of Earth is about 1.09 x 10^12 cubic kilometers.

The number of Earths that can fit inside the Sun can be found by dividing the Sun's volume by Earth's volume.

= Volume of Sun ÷ Volume of the Earth

= 1.41 x 10^18 cubic km/1.09 x 10^12 cubic km

= 1.41 x 10^18/1.09 x 10^12

=(1.42/1.09)× 10^18-12

= 1.29×10^6

n is 1.29×10^6.

Hence the number of Earth that can be fitted in the Sun is 1290000

Answer:

y+0

As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.

Answer:

The expression for the shaded region is 10x² + 12x .

Step-by-step explanation:

First, you have to find the area of both rectangles using the formula :

[tex]area = length \times height[/tex]

Small rectangle,

[tex]area = x \times (5x - 2)[/tex]

[tex]area = 5 {x}^{2} - 2x[/tex]

Large rectangle,

[tex]area = (3x + 2) \times 5x[/tex]

[tex]area = 15 {x}^{2} + 10x[/tex]

In order to find the shaded region, you have to subtract the smaller from the larger one :

[tex]area \: of \: shaded = large - small[/tex]

[tex]area = 15 {x}^{2} + 10x - 5 {x}^{2} + 2x [/tex]

[tex]area = 10 {x}^{2} + 12x[/tex]

Answer:

$5.70

Step-by-step explanation:

1. 25.00 - 2.20 = $22.80

2. 22.80 divided by 4 = $5.70

Answer:

$5.70

Step-by-step explanation:

let the price for each canvas be $x

hence the price of 4 canvases will be $4x

It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.

Hence we can assemble an equation:

$4x + $2.20 = $25

4x + 2.2 = 25   (subtract 2.2 from both sides)

4x = 25 - 2.2

4x =22.8  (divide both sides by 4)

x = 22.8 / 4

x = 5.7

Hence each canvas cost $5.70

Answer:

b^8

Step-by-step explanation:

When multiplying exponents with the same base, we can add the exponents

b^2 * b^6

b^ (2+6)

b^8

Answer:b8 x

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b6"   was replaced by   "b^6".  1 more similar replacement(s).

STEP

1

:

Multiplying exponential expressions

1.1    b2 multiplied by b6 = b(2 + 6) = b8

Final result :

 b8x