What is the range of the following function ?

Answer:

6in^2

Step-by-step explanation:

formula of a triangle: l x h : 2

4 x 3 = 12

12 : 2 = 6^2

Answer:

20 cm²

Step-by-step explanation:

Area of the square = 2cm * 2cm = 4 cm²

Area of All triangles = (4cm * 2cm) ÷ 2cm * 4cm = (4cm * 2cm) * 2cm = 16 cm²

Total Area = 4 cm² + 16 cm² = 20 cm²

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-Chetan K

dividido por la epotenusa es 7 :v

Answer:

d=3

Step-by-step explanation:

13d=39

d=39/13

d=3

Hello!

6d + 7d = 39 <=>

<=> 13d = 39 <=>

<=> d = 39 : 13 <=>

<=> d = 3 => 6 × 3 + 7 × 3 = 39

Good luck! :)

explanation:

the hypotenuse is 15 cm with the opposite side being h cm.

The angle is 31°

Thus, using trigonometric ratio, we have;

h/15 = sin 31

h = 15 sin 31

h = 15 × 0.5150

h = 7.725

Approximating to 1 decimal place gives;

h = 7.7 cm

Answer:

The angles are : 30° , 60° , 90°

Step-by-step explanation:

Sum of angles in a triangle = 180°

Given: the angles are in the ratio = 1 : 2 : 3

          Sum of the ratio = 6

Therefore , the angles are

                                   [tex]first \ angle = \frac{1}{6} \times 180^\circ = 1 \times 30 = 30^\circ\\\\second \ angle = \frac{2}{6} \times 180^\circ = 2 \times 30 = 60^\circ\\\\third \ angle = \frac{3}{6} \times 180^\circ = 3 \times 30 = 90^\circ[/tex]

[tex]\displaystyle\bf \angle1:\angle2:\angle3=x:2x:3x\\\\x+2x+3x=180\\6x=180\\x=30 \\\angle3=3x=30\cdot3=90 \\\\Answer: \angle3=90^o[/tex]

Answer:

Jeff is moving faster.

Step-by-step explanation:

To compare two speeds, first we make them in one unit.

We know that,

1 km/h = 0.2777 m/s

7 km/h = 1.94 m/s

Jeff can run at a speed of 7 km/h i.e. 1.94 m/s while Cameron can run with a speed of 10 m/min or 0.167 m/s.

On comparing 1.94 m/s and 0.167 m/s, we found that Jeff is moving with more speed.

So, Jeff is faster.

Answer:

-28[tex]w^{2}[/tex]

Step-by-step explanation:

-24[tex]w^{2}[/tex] + (-4[tex]w^{2}[/tex]) =

a negative plus a negative is a negative.

if you owe me 24 dollars and then I loan you another 4 dollars then you are in the negative 28 dollars to me.

Both 'w' have same exponent, making them like terms

Answer:

-25.2

Step-by-step explanation:

by replacing -6 on the place of x we get4.2(-6)=-25.2

Answer:

x = 55°

Step-by-step explanation:

120° = x° + 65° (alternate interior angles are congruent)

Subtract 65 from each side

120° - 65° = x° + 65° - 65°

55° = x

Therefore,

x = 55°

Answer:

Saleh is x years old. And 10 years ago he was 100 years old.

Suha is x years old. Saleh is 10 years younger than Suha. Saleh is 100 years old.

Answer:

3 + 2k

Step-by-step explanation:

Given:

1/5(15 + 10k)

= (1/5 * 15) + (1/5 * 10k)

= (1 * 15)/5 + (1 * 10k)/5

= 15/5 + 10k/5

= 3 + 2k

Therefore,

1/5(15 + 10k) = 3 + 2k

The equivalent expression is 3 + 2k

Answer:

B, (-4,0)

Step-by-step explanation:

2(4x - 2y = -16)       8x - 4y = -32

   8x - 4y = -32

+  -3x + 4y = 12

  5x  = -20

x = -4

4(-4) - 2y = -16

-16 - 2y = -16

-2y = 0

y = 0

Answer:

Rs4000

Step-by-step explanation:

Given data

Step one

Selling price =RS 4444

Gain =rs444

Cost price =???

We want to find the cost price

Cost price =selling price - gain

Cost =4444-444

Cost=Rs4000

Answer:

[tex]x^2 + ( y + 4)^2 = 52[/tex]

Step-by-step explanation:

Equation of circle with center (a , b) and radius, r is :

[tex](x -a)^2 + ( y -b)^2 = r^2[/tex]

Given :  a = 0 , b = - 4

Step 1 : Find the radius.

       Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.

   [tex]r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\[/tex]

     [tex]= \sqrt{ 36 + 16 } \\\\= \sqrt{52}[/tex]

Step 2 : Equation of circle.

  [tex](x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52[/tex]

As we know,

In a triangle, the sum of lengths of two side is greater than the third side.

[tex]20 + 25 > b[/tex]

[tex]b + 20 > 25[/tex]

[tex]25 + b > 20[/tex]

Answer = 15m

Given:

Kendra charges $8.00 for two puzzles and a piece of candy.

She charges $4.50 for one puzzle and a piece of candy.

To find:

The cost of each puzzle.

Solution:

Let x be the cost of a puzzle and y be the cost of piece of candy.

Kendra charges $8.00 for two puzzles and a piece of candy.

[tex]2x+y=8[/tex]               ...(i)

She charges $4.50 for one puzzle and a piece of candy.

[tex]x+y=4.50[/tex]             ...(ii)

Subtracting (ii) from (i), we get

[tex]2x+y-(x+y)=8-4.50[/tex]

[tex]2x+y-x-y=3.50[/tex]

[tex]x=3.50[/tex]

The cost of puzzle is $3.50. Therefore, the correct option is A.

[tex]\displaystyle\ a(n)=-3(2)^ {n-1}\Longrightarrow a(10)=-3(2)^{10-1}=2^9\cdot -3=\boxed{-1536}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {20}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

[tex] = ( {2}^{2} + {4}^{2} )[/tex]

[tex] = [(2 \times 2) + (4 \times 4)][/tex]

[tex] = (4 + 16)[/tex]

[tex] = 20[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Thank\:you! }}{\orange{❦}}}}}[/tex]

Answer:

[tex]Bike = 7[/tex]

[tex]Car = 8[/tex]

[tex]Walk = 9[/tex]

[tex]Bus = 12[/tex]

Step-by-step explanation:

Given

[tex]Bus = 120^o[/tex]

[tex]Walk = 90^o[/tex]

[tex]Car = 80^o[/tex]

[tex]n = 36[/tex] --- pupils

Required

Determine the number of students in each category

This is calculated by dividing the measure of each category by 360; then multiply the result by the number of pupils:

So, we have:

[tex]Bus = \frac{120}{360} * 36 = \frac{1}{3} * 36 = 12[/tex]

[tex]Walk = \frac{90}{360} * 36= \frac{1}{4} * 36 = 9[/tex]

[tex]Car = \frac{80}{360} * 36 = \frac{80}{10} = 8[/tex]

To calculate the number of students that travel by bike, we have:

[tex]Car + Bike + Walk + Bus= n[/tex]

Substitute values

[tex]8 + Bike + 9+ 12= 36[/tex]

Collect like terms

[tex]Bike = 36 - 8 - 9 - 12[/tex]

[tex]Bike = 7[/tex]

Answer:

Look at picture

Step-by-step explanation:

1cm = 2m

=> 1cm = 200cm

2.5cm = 2.5 × 200cm = 500 cm = 5m

So, the length of window is 500cm or 5m.

Step-by-step explanation:

The reserve ratio is the central bank's mandate for banks to keep a certain reserve requirements, which are excess cash deposits that must be kept on hand and not loaned out.

Raising the ratio is contractionary since less loans can be made, but this also solidifies banks' balance sheets.

If the Federal Reserve instead lowers the reserve ratio through an expansionary monetary policy, commercial banks are required to hold less cash on hand and can make more loans.

The lowering of the interest rate on reserves, considered an expansionary monetary policy, as it encourages banks to lend money instead of keeping it in reserve.

Hence, option 1 is correct.

Lowering the interest rate on reserves is considered an expansionary monetary policy because it incentivizes banks to lend out their excess reserves rather than keeping them idle in reserve accounts. When the central bank reduces the interest rate on reserves, it effectively lowers the opportunity cost for banks to hold reserves.

As a result, banks are more inclined to lend money to consumers and businesses at lower interest rates, which stimulates borrowing and spending in the economy. Increased lending and spending contribute to economic expansion and growth, making it an expansionary monetary policy.

Thus, lowering the interest rate encourages banks to lend money instead of keeping it in reserve.

Learn more about monetary policy here:https://brainly.com/question/28199887

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Answer:

[tex]y=|x-(-2)|+2[/tex]

Step-by-step explanation:

Hope this is helpful.

The required absolute function is given as y = |x - 2| + 2.

Given that,
From the graph, y = |x - h| + k, values of h and k is to be determined,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph and function, h represents the shift on the x-axis, which 2 units left so the value of h is 2, while k is given the shift of the function over the y-axis which 2 units up means that k = 2

Thus, The required absolute function is given as y = |x - 2| + 2.

learn more about function here:

brainly.com/question/21145944

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Answer: D

To solve the equation we proceed as follows:

log5(10x-1)=log5(9x+7)

canceling out log5 we get:

(10x-1)=(9x+7)

solving for x we get:

10x-9x=7+1

x=8

thus the value of x=8

Step-by-step explanation:

it was on brainly already

Answer: 7.7 miles

Step-by-step explanation:

2.5x + 5.75 = 25 (x = each mile traveled)

2.5x = 25 - 5.75

2.5x = 19.25

x = 7.7 miles

Answer:

Step-by-step explanation:

Area of circle:

Distance between x and y is same as r, so:

Then the area is: