What is the value of x^2 – 3 when the value of x is 4?

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

The cotangent of [tex]m\angle B[/tex] can be represented as [tex]\frac{1}{\tan (m\angle B)}[/tex]. Using trig rules for a right triangle, we can write the following equation:

[tex]\tan B=\frac{24}{7}[/tex].

Therefore, the cotangent of [tex]m\angle B[/tex] is:

[tex]\cot B = \frac{1}{\tan B}=\frac{1}{\frac{24}{7}}=\fbox{$\frac{7}{24}$}[/tex].

The ratio of cotangent of angle B is [tex]\frac{7}{24}[/tex]. for understanding check the calcualtiion here ,

From the given information ,

In ΔABC, the measure of ∠C=90°, CB = 7, BA = 25, and AC = 24

Contangent of any angle is equal to adjacent side divide by opposite side

Cotangent of an angle is a relationship found by dividing the length of  the side adjacent to given angle  by the length of side opposite to the given angle.

The side opposite to angle B is CB  and side opposite of angle B is AC

cot (B) = adjacent side / opposite side

[tex]cot(B)=\frac{CB}{AC}[/tex]

CB = 7, BA = 25, and AC = 24

[tex]cot (B)=\frac{7}{24}[/tex]

The ratio of cotangent of angle B is [tex]\frac{7}{24}[/tex]

Learn more information about 'cotangent ' here

brainly.com/question/10430279

Answer:

3:4:7

Step-by-step explanation:

14-(3+4)

=14-7

=7

red:white:blue

3:4:7

Answer:

Step-by-step explanation:

3 + 4 + 7 = 14 which is the total

The blue balloons number 7 because 14 - (3 + 4) = 14 - 7 = 7

So the ratio is 7 blue / 14 (which is the total)

7/14 = 1/2 or 1 to 2

Answer:

The median is 5.5

Answer:

1240

Step-by-step explanation:

the explanation is very long but I hope this is correct!

Answer:

x = 26°

Step-by-step explanation:

Let us solve the question

In the given figure

∵ The ray NC bisects ∠WNB

→ That means it divides the angle into two equal angles, ∠WNC and ∠CNB.

∴ m∠WNC = m∠CNB

∵ m∠WNC = 3v - 4

∵ m∠CNB = 2v + 6

→ Equate the measures of the two angles

∴ 3v - 4 = 2v + 6

→ Add 4 to both sides

∵ 3v - 4 + 4 = 2v + 6 + 4

∴ 3v = 2v + 10

→ Subtract 2v from both sides

∵ 3v - 2v = 2v - 2v + 10

∴ v = 10

∵ x = m∠WNC

∴ x = 3v - 4

→ Substitute v by 10

∵ x = 3(10) - 4

∴ x = 30 - 4

∴ x = 26°

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …

Answer:

monthly payment =  $56.445

Step-by-step explanation:

given data

loan = $5000

interest rate r = 5.3 % = 0.053

time  t = 2 year = 24 months

solution

we will use here amount of the monthly payments formula that is

monthly payment = principal × [tex]\frac{r}{1+(1-r)^{-t}}[/tex]      ................1

put here value and we get

monthly payment = 5000 × [tex]\frac{0.053}{1+(1-0.053)^{-24}}\\[/tex]

monthly payment =  $56.445

Answer:

Step-by-step explanation:

Answer:

The temperature is [tex]50^{\circ}F[/tex]

Step-by-step explanation:

Given

[tex]F= (C*1.8) + 32[/tex]

Required

Find F when [tex]C = 10[/tex]

[tex]F= (C*1.8) + 32[/tex]

Substitute 10 for C

[tex]F = 10 * 1.8 + 32[/tex]

[tex]F = 18 + 32[/tex]

[tex]F = 50[/tex]

Answer:true

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Answer:

75 cents per can

Step-by-step explanation:

8 for $6 = 75 cents per can

10 for $10 = $1 per can

2 for $3 = $1.50 per can

The last store sold 28-oz for $1.40 each

To obtain the cost per 15-oz can of baked beans

28-oz / 15-oz = 1.86667of 15 - oz cans of baked beans can be obtained from 28 - oz.

The price per can will now be :

$1.40 / 1.8666666

= $0.75

= 0.75 * 100 = 75 cents

Hence, for the last store, they sold at 75 cents per can similar to the first store.

Answer:

75

Step-by-step explanation:

it is

Answer:

-2/2 or simplify to =-1

Step-by-step explanation:

you use rise over run. you may use an exact formula (y2-y1)/(x2-x1) by picking 2 y values and 2 x values on the graph and subtracting the values.

Answer:

The x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5

Hence, option A) i.e. -0.5 is correct.

Step-by-step explanation:

Given the system of equations

2.4x - 1.5y = 0.3

1.6x + 0.5y = -1.3

solving the system of equations

[tex]\begin{bmatrix}2.4x-1.5y=0.3\\ 1.6x+0.5y=-1.3\end{bmatrix}[/tex]

Multiply 2.4x - 1.5y = 0.3 by 2

Multiply 1.6x + 0.5y = -1.3 by 3

so the system of equations becomes

[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.8x+1.5y=-3.9\end{bmatrix}[/tex]

so

[tex]4.8x+1.5y=-3.9[/tex]

[tex]-[/tex]

[tex]\underline{4.8x-3y=0.6}[/tex]

[tex]4.5y=-4.5[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.5y=-4.5\end{bmatrix}[/tex]

solve 4.5y = -4.5 for y

[tex]4.5y=-4.5[/tex]

Multiply both sides by 10

[tex]4.5y\cdot \:10=-4.5\cdot \:10[/tex]

Refine

[tex]45y=-45[/tex]

Divide both sides by 45

[tex]\frac{45y}{45}=\frac{-45}{45}[/tex]

Simplify

[tex]y=-1[/tex]

For 4.8x - 3y = 0.6, plug in y = -1

[tex]4.8x-3\left(-1\right)=0.6[/tex]

[tex]4.8x+3\cdot \:1=0.6[/tex]

[tex]4.8x+3=0.6[/tex]

Multiply both sides by 10

[tex]4.8x\cdot \:10+3\cdot \:10=0.6\cdot \:10[/tex]

Refine

[tex]48x+30=6[/tex]

Subtract 30 from both sides

[tex]48x+30-30=6-30[/tex]

Simplify

[tex]48x=-24[/tex]

Divide both sides by 48

[tex]\frac{48x}{48}=\frac{-24}{48}[/tex]

simplify

[tex]x=-\frac{1}{2}[/tex]

or

[tex]x = -0.5[/tex]

Thus,

(x, y) = (-0.5, -1)

Therefore, the x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5

Hence, option A) i.e. -0.5 is correct.

Step-by-step explanation:

[tex]y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2[/tex]

Answer:

21

Step-by-step explanation:

5 * (4*5+1)/5

= 5 * 21 / 5

= 21

Hope it will help

Answer:

56 units long

Step-by-step explanation:

the whole line is 73 units long, and CB is 17 units long. You would subtract 17 from 73 and then you have the missing value which is 56. (or in other words 17 plus what equals 73).

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

From the question we are told that

Amount of water 1/4x

Gallons added 10

Amount of water after addition 2/3x

Where x is a full container

Generally the parameters above gives the equation

  [tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]

Therefore

  [tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]

[tex]-\frac{5}{12}x =-10[/tex]

[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]

[tex]x =24[/tex]

Therefore the container can hold 24 gallons of water

Answer:

b=2√7 ≈ 5.29 meters

Step-by-step explanation:

think of it like a right triangle like in the picture with 8metre ladder as the hypotenuse

a²+b²=c²

6²+b² =8²

b²= 8²-6²=28

b=√28 =2√7 ≈ 5.29 meters

Answer:

Its B :)

Step-by-step explanation:

Look at the graph points and match them with the choices

Answer:

480 seconds per day

Step-by-step explanation:

There are 24 hours in a day, 24*20=480 seconds per day

The number of seconds the given clock loses in a day is required.

The number of seconds lost by the clock in one day is 240 seconds.

The clock loses 20 seconds every hour.

A day has 24 hours.

If 20 seconds is lost every hour then the 20 seconds has to be added 24 times or the 20 has to be multiplied by 24.

So,

[tex]20\times 24=480\ \text{s}[/tex]

Learn more about algebra:

https://brainly.com/question/6143254

Answer:

2187+4

= 2191

Step-by-step explanation:

plz brainliest :)

Answer:

x = 5, x = 2

Step-by-step explanation:

y=x²-7x+7 but also y=-3

so x²-7x+7=-3

x²-7x+10=0

when factorising think about 2 numbers you multiply by each other tp give 10 but at the same time their sum is 7

-5x-2=10

-5+-2=-7

so (x-5)(x-2)=0

(note: multiply the two brackets to check if ur answer is correct and that it gives x²-7x+10=0)

x-5=0 so x=5

but also x-2=0 so x=2

Move all terms that don't contain x to the right side and solve.

x = 43

Answer:

x=43

Step-by-step explanation:

2x+96=182    

2x=86      (Subtract 96 from 182)

x=43         (Divide 86 by 2)

Answer: The total weight of the 7 baseballs are 2.1 pounds, or if using a model, 2 hundredths and 1 tenth.

Step-by-step explanation:7 x 0.3 = 2.1 or 2 hundredths and 1 tenth on the model.

Hint: 1 Hundredth is equal to 1 whole.

Answer:

B) 42 Degrees

Step-by-step explanation:

An angle bisector is basically a line that splits an angle into two congruent angles.

In this case, the large angle ABC is bisected by ray BD.

Angle ABC is given to be 84 degrees, so the measure of angle ABD is exactly half of that, or 42 degrees.

Let me know if this helps!

Answer:

a. $105

b. $455

Step-by-step explanation:

Answer:

the best possiable prediction is 2/6

Step-by-step explanation:

Answer: The length is 3 or 9 hope this helps.

Step-by-step explanation: