How many natural 4-digit numbers exist in which all of the digits are even?

Answer:

the number of female teachers is 616

Step-by-step explanation:

male     2: 112

Female 11 : x

now you want to find x which is the number of female teachers

multiply 11 with 112 and 2 with x

11 x 112= 2x

divide 2

1 232 = 2x/2

616 =  x

Hope that help :)

Answer:

please mark my answer brainliest

Step-by-step explanation:

can you tell me a subscript n =sin to the power theta +cosec to the power n theta...and a subscript 1 =2...then prove that a subscript n =2...

Answer:

First blank: 6a

Second blank: 2/3

Third blank: 21.6

Fourth blank: 3.9

Step-by-step explanation:

Basically, all you need to do is distribute the 2/3 to the stuff inside the parentheses. That means in the first blank, write 6a inside since you're multiplying 2/3 and 6a, and then in the second blank you write 2/3 since you're multiplying 2/3 and 9 together.

2/3*6a+2/3*9 = 21.6 is what you should have.

Now, just solve for a.

4a+6 = 21.6

4a=15.6

a=3.9

Answer:

2/3 * 6a+ 2/3 +9 = 21.6

a = 3.9

Step-by-step explanation:

2/3 ( 6a+9) = 21.6

Distribute

2/3 * 6a+ 2/3 +9 = 21.6

4a + 6 = 21.6

Subtract 6 from each side

4a = 15.6

Divide each side by 4

4a/4 = 15.6/4

a =3.9

Answer:

[tex] area = 10x^2 - 4x + 6 [/tex]

Step-by-step explanation:

Given that the rectangle has a height = 2, and width of [tex] 5x^2 - 2x + 3 [/tex]

Area of the whole rectangle can be calculated as:

[tex] area = 2(5x^2 - 2x + 3) [/tex]

Use the distributive property of multiplication by using 2 to multiply each term in the expression, [tex] (5x^2 - 2x + 3) [/tex]

[tex]area =2(5x^2) +2 (-2x) + 2(3)[/tex]

[tex] area = 10x^2 - 4x + 6 [/tex]

Answer:

5 seconds ma boii

Step-by-step explanation:

i just took tha test

Answer:

1) h(t) = -5t(t - 8)

t - 8 = 0, so

2) t = 8 seconds

Step-by-step explanation:

Answer:

432cm²

Step-by-step explanation:

If the Perimeter is 120cm, PT=8 (120-28-12-12-28-12-12)/2

This means the rectangle is 24x36.

area of a kite is the diagonals divided by 2 (or half of the rectangle).

24x36=864

864/2=

432 cm²

Answer:  approximately 24 square units in the shaded areas

Step-by-step explanation:  

The area of the entire dark circles will be for each πr², then divided by 2 to get the area of the semicircles created on the sides of the triangles:

16π + 9π = 25π   Half that times value for pi

≈ 39.2699  is the area of the dark semicircles. Round to 39.27

Now the fun! Find the area of the parts subtracted by the light semicircle:

The area of the entire circle is 25π  or about 78.54. The triangle is half of an inscribed rectangle, 6×8, so 48.  Subtracted from the circle leaves about 30.54 in the four slices between the arcs of the circumference and the perimeter of the rectangle. We are concerned with only half of the slices, so we will subtract 15.27

Area of the dark semicircles minus the area of the light slices will leave the area of the shaded crescents:

Answer:

$ 327.08

Step-by-step explanation:

Let x = width of the container,

Then Length of the container = 2x

Let h = height of the container,

volume of the container can be calculated as length × width × height

= 2x × x × h

= 2x² h

Then we can say Volume =

= 2x² h=10

If we simplify inorder to get h

We have h= 5/x²

Then the area= (2L×h) +(2xh)

Where L is lenght

x= wish

h= height

= 2× 2x × h+ x× h

= 4x× 5/x + 2x × 5/x

Area = 30/x

Now, the area of the base = length × width

But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter

Then the cost C(x)= 2x²× 20+30/x ×12

C(x)= 40x²+35/x²

If we differenciate wrt x we have

C(x)= 80-360/x²

If we equate C(x)=0the

80=360/x²

x= 1.651

If substitute to C(x)= 40x²+35/x²

C(x) = 40(1.651)² + 35/(1.651)²

We have cost= 327.08

Answer:

0.9

I guess.

If yes

.. Follow me..

Answer:

1. Technically 2, but might be 0 in your teacher's opinion.

2. 1

Step-by-step explanation:

Solving problem one.

So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.

If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.

Solving problem two.

Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.

It's (3x-2)^2.  Since it's squared, that means that only 2/3 would work as x in this equation.

Answer:

(-3, 3.25)

Step-by-step explanation:

Answer:

h^2+2h

Step-by-step explanation:

Let h be the heigth of this garden

The length of this garden is 2 feet more than the heigth.

So the length can be expressed as h+2

The area of this triangle is the product of the heigth and the length.

A = h*(h+2)

A= h^2 +2h

Answer:

b

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

The relation is :

=> {(-5,0)(2,8)(2,15)(4,16)}

Domain => x inputs of the relation

Domain = { -5 , 2, 4}

Range => y inputs of the relation

Range = { 0 , 8 , 15 , 16}

Answer:

104

Step-by-step explanation:

:D

Answer:

[tex]sin\theta = \sqrt{1-C^2}[/tex]

[tex]tan\theta = \dfrac{\sqrt{1-C^2}}{C}[/tex]

[tex]cot\theta = \dfrac{C}{\sqrt{1-C^2}}[/tex]

[tex]sec\theta = \dfrac{1}{C}}[/tex]

[tex]cosec\theta = \dfrac{1}{\sqrt{1-C^2}}[/tex]

Step-by-step explanation:

Given that:

[tex]\theta[/tex] is an angle in a right angled triangle.

and [tex]cos\theta = C[/tex]

To find:

To draw the triangle and write other five trigonometric functions in terms of C.

Solution:

We know that cosine of an angle is given by the formula:

[tex]cosx =\dfrac{Base}{Hypotenuse}[/tex]

Here, we are given that [tex]cos\theta = C[/tex] OR

[tex]cos\theta = \dfrac{C}{1}[/tex]

i.e. Base = C and Hypotenuse of triangle = 1

Please refer to the right angled triangle as per given statements.

[tex]\triangle PQR[/tex], with base PR = C units

and hypotenuse, QP = 1 unit

[tex]\angle R[/tex] is the right angle.

Let us use pythagorean theorem to find the value of perpendicular.

According to pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]1^{2} = C^{2} + QR^{2}\\\Rightarrow QR = \sqrt {1-C^2}[/tex]

[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta = \dfrac{\sqrt{1-C^2}}{1}\\\Rightarrow sin\theta = \sqrt{1-C^2}[/tex]

[tex]tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan\theta = \dfrac{\sqrt{1-C^2}}{C}[/tex]

[tex]cot\theta = \dfrac{Base}{Perpendicular}\\\Rightarrow cot\theta = \dfrac{C}{\sqrt{1-C^2}}[/tex]

[tex]sec\theta = \dfrac{Hypotenuse}{Base}\\\Rightarrow sec\theta = \dfrac{1}{C}}[/tex]

[tex]cosec\theta = \dfrac{Hypotenuse}{Perpendicular}\\\Rightarrow cosec\theta = \dfrac{1}{\sqrt{1-C^2}}[/tex]

Answer:

66 degrees

Step-by-step explanation:

WV is the radius and WX is a tangent, so angle W is 90 degrees. So, 90+24=114 and 180-114 is 66.

Hope this is helpful! :)

Answer:

82% Add .34+.48.

Step-by-step explanation:

The question is asking how many people CAN swim. This is why the answer is 82. But if the question asks how many people CANT swim the answer will be 18. This is why some people might get confused.

Answer:45

Step-by-step explanation:

Answer:

B. 30 square units

Step-by-step explanation:

Edge 2021

Answer:

Micah's solution is wrong

Step-by-step explanation:

Micah solves a linear equation and concludes that x = 0 is the solution. His work is shown below.

(1 – 3x) = 4(– + 2)

0 = x

Which statement is true about Micah’s solution?

Micah’s solution is wrong.

There are no values of x that make the statement true.

Micah’s solution is correct, and the value of x that makes the statement true is 0.

Micah should have divided by .

Micah should have subtracted

Solution

First solve for the value of x

Given

(1 – 3x) = 4(– + 2)

It could mean;  (1 – 3x) = 4(+ 2)

or  

(1 – 3x) = 4(-2)

In the first option (1 – 3x) = 4(+ 2)

1 – 3x = 4(+ 2)

1-3x= 8

-3x=8-1

-3x=7

x= -7/3  

In the second option

(1 – 3x) = 4(-2)

1-3x= -8

-3x= -8-1

-3x = -9

x= 3

 x= 3 0r -7/3

The values of x that make the statement true are 3 and -7/3

Micah's solution of x=0 is wrong

Answer:

A. Micah’s solution is wrong. There are no values of x that make the statement true.

Step-by-step explanation:

Answer:

9pq, 8qp, and 7x, 16y

Step-by-step explanation:

these pairs have the same variable and exponent. To be a like term, you have to have same variables and same exponents, so therefore 11a and 13a^2 can't be like terms.

Answer:

The answer is below

Step-by-step explanation:

The formula m = (12,000 + 12,000rt)/12t gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years. Keri decides that she can afford, at most, a $275 monthly car payment. Give an example of an interest rate greater than 0% and a loan length that would result in a car payment Keri could afford. Provide support for your answer.

Answer: Let us assume an annual interest rate (r) = 10% = 0.1. The maximum monthly payment (m) Keri can afford is $275. i.e. m ≤ $275. Using the monthly loan payment formula, we can calculate a loan length that would result in a car payment Keri could afford.

[tex]m=\frac{12000+12000rt}{12t}\\ but\ m\leq275, \ and \ r=10\%=0.1\\275= \frac{12000+12000(0.1)t}{12t}\\275= \frac{12000}{12t} +\frac{12000(0.1)}{12t}\\275= \frac{1000}{t} + 100\\275-100= \frac{1000}{t} \\175= \frac{1000}{t} \\175t = 1000\\t= \frac{1000}{175}\\ t=5.72\ years[/tex]

The loan must be at least for 5.72 years for an annual interest rate (r) of 10%

Here's the keywords you need! :)

example of an interest rate and a loan length that costs under $275/month (example: 4-year loan at 2% interest)

monthly payment for the loan you described (example: 4-year loan at 2% interest is $270/month)

statement that the monthly payment for the loan you described is less than or equal to $275 (example: $270/month payment is less than $275)

Just got it right on edge 2020, hope this helps!! :)

Answer: The volume of the cone is 130 cubic centimeters.

Step-by-step explanation:

We know that to find the volume of a cylinder you will use the formula

V= [tex]\pi[/tex][tex]r^{2} *h[/tex]  Where r is the radius and h is the height.

And to find the volume of a cone you will use the formula

V= [tex]\pi[/tex][tex]r^{2}[/tex]*h /3

So if they have the same dimensions which is the height and the radius then we will just divide the  volume of the cylinder by 3 to find the volume of the cone.

V = 390/3

V =  130 cm^3

Answer:

y = - 16t² + 55.6t + 6

Step-by-step explanation:

Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football

So y = y₀ + vt - 1/2 × (32 ft/s²)t²

y = y₀ + vt - 16t² where y₀ = 6.5 ft

y = 6 + vt - 16t²

Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have

5 = 6.5 + v(3.5 s) - 16(3.5 s)²

5 = 6.5 + 3.5v - 196

collecting like terms, we have

5 - 6.5 + 196 = 3.5v

194.5 = 3.5v

v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s

So, substituting v into y, our quadratic model is

y = 6 + 55.6t - 16t²

re-arranging, we have

y = - 16t² + 55.6t + 6

Answer:

0.012 millimeters

Step-by-step explanation:

First, we solve for  0.000004 m to mm = 0.004 mm x 3 = 0.012 millimeters

Answer:

A) SAS postulate

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

you know that ST is equal and you also know two equal angles and one other equal side

Answer:

6/50

Step-by-step explanation:

Jenny pulled out 6 purple tiles out of the 50 trials

Answer: The experimental probability of Jenna pulling a purple tile is 6/50.

Step-by-step explanation:

In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.

Answer:

see below

Step-by-step explanation:

In the first step, they added 28 to both sides of the equation to get rid of the -28 on the left side. Next, they subtracted 4x from both sides to get rid of the 4x on the left side. They are doing this so that they can isolate y on one side. Isolating y basically means that you need to get all of the y terms on one side and all of the non-y terms on the other side. Next, they divided the entire equation by 8 to get rid of the 8 in 8y. Finally, since y and f(x) are the same thing, they simply substituted f(x) for y.

Answer:

40

Step-by-step explanation:

[tex] 12x = 34^2 - 26^2 \\

12x = (34+26)(34-26)\\

12x = 60\times 8\\\\

x = \frac{60\times 8}{12}\\\\

x = 5\times 8\\

x = 40[/tex]