Solve for k 1/4 k=3(-1/4K+3)

Step-by-step explanation:

3B+b=_5+12+1

4Bb=8

4Bb/4=8/4

Bb=2

Answer:

B = 2

Step-by-step explanation:

To solve the linear equation;

- 12 + 3B -1 = -5 - B

we will first collect like-term that is; we will make all the B variables to be on the left-hand side of the equation and all the constant to be on the right-hand side of the equation

( when -B cross over to the left-hand side of the equation,  B becomes positive, when -12 and -1 cross over to the right-hand side of the equation, they become positive 12 and 1)

3B + B  =   -5  +  12 + 1

4B   =  8

Divide both-side of the equation by 4 to get the value of B

4B/4  =  8/4

(on the left-hand side of the equation ,4 will cancel out 4 leaving us with B and 8 will be divided by 4 to give us 2)

B =  2

Therefore the solution to the linear of the equation is B = 2

Answer:

Between step 4 and step 5

Step-by-step explanation:

The Division Property of Equality states that when both sides of an equation are divided by the same nonzero number, both sides remain equal.

That is, if a, b, and c are real numbers such that a = b and c ≠0, then  

[tex]\frac{a}{c} = \frac{b}{c}[/tex]

At step 4: The equation was -6x = 57

To move to step 5, Paula had to divide both sides by the co-efficient of x (-6) in order to get the value of x. See below

[tex]-6x = 57[/tex] ---- Divide both sides by -6 (Step 4)

[tex]\frac{-6x}{-6} = \frac{57}{-6}[/tex] ---- (Intermediary between step 4 and 5)

[tex]x = -9.5[/tex] ----- Step 5

Hence, we can conclude that the division property of equality was done between step 4 and step 5

Answer:

C

Step-by-step explanation:

The formula given is:

[tex]d=26t+32.5[/tex]

Where

d is the distance between two cars

and

t is the time it takes

We want the time it takes (so we need t) for the cars to be 117 miles apart (this is the distance). Thus, it means:

d = 117

t = ???

We plug in 117 into d and solve the equation for t. Shown below:

[tex]d=26t+32.5\\117=26t+32.5\\117-32.5=26t\\84.5=26t\\t=\frac{84.5}{26}\\t=3.25[/tex]

So, it takes 3.25 hours

Correct answer is C

Final answer:

Using the formula d = 26t + 32.5 and setting d to 117 miles, we solve for t to find that it takes approximately 3.25 hours for the two cars to be 117 miles apart. The correct answer is C: 3.25.

Explanation:

To find out how many hours it will take for two cars to be 117 miles apart if they travel in opposite directions using the formula d = 26t + 32.5, we need to set d equal to 117 miles and solve for t.

First, we substitute 117 for d in the equation:

117 = 26t + 32.5

Next, we subtract 32.5 from both sides to isolate the term with t:

117 - 32.5 = 26t => 84.5 = 26t

Then we divide both sides by 26 to solve for t:

t = 84.5 / 26 => t ≈ 3.25

Hence, it will take approximately 3.25 hours for the cars to be 117 miles apart.

Thus, the correct answer is C: 3.25.

Answer:

The length of the sailboat is 80 feet.

Step-by-step explanation:

The function  

[tex]s(l) = 1.34 \sqrt{l}[/tex] ................ (1)  

models the maximum speed s in knots for a sailboat with length l in feet at the waterline.

So, using this model we have to find the length of a sailboat with a maximum speed of 12 knots.

Now, from equation (1) we get

[tex]12 = 1.34 \sqrt{l}[/tex]

⇒ [tex]\sqrt{l} = 8.955[/tex]

⇒ [tex]l = (8.955)^{2}  = 80[/tex] feet (Answer)

{The value is round to the nearest foot}

Each van carried 18 students and each bus carried 59 students.

Step-by-step explanation:

Let,

students carried by one van = x

students carried by one bus = y

According to given statement;

x+6y=372   Eqn 1

4x+12y=780   Eqn 2

Multiplying Eqn 1 by 4

[tex]4(x+6y=372)\\4x+24y=1488\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](4x+24y)-(4x+12y)=1488-780\\4x+24y-4x-12y=708\\12y=708[/tex]

Dividing both sides by 12

[tex]\frac{12y}{12}=\frac{708}{12}\\y=59[/tex]

Putting y=59 in Eqn 1

[tex]x+6(59)=372\\x+354=372\\x=372-354\\x=18[/tex]

Each van carried 18 students and each bus carried 59 students.

Keywords: Linear equations, subtraction

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Each van carried 18 students and each bus carried 59 students.

Step-by-step explanation:

Let,

students carried by one van = x

students carried by one bus = y

According to given statement;

x+6y=372 Eqn 1

4x+12y=780 Eqn 2

Multiplying Eqn 1 by 4

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 12

Putting y=59 in Eqn 1

Answer:

$256

Step-by-step explanation:

Each class got $256. I know this because I did 3,840 divided by 15 which got me the CORRECT answer of $256

Answer:

$256

Step-by-step explanation:

if there was $3840 donated and theres 15 classes that need to get an even amount so you would do 3840÷15 to see how many times 15 can go in to 3840 to find the even amount of money each class should recieve which is $256

Answer:

bro in Ur pictures there is no 7-10

Step-by-step explanation:

10-7 is 3 right so 7-10 is -3 it simple . but show me questions again because there is no 7-10 . Thank for ur asking me !

Answer:

Option C. [tex]25\pi\ ft^{2}[/tex]

Step-by-step explanation:

The complete question is

The diameter of Jim’s circular flower bed is 10 feet. What is the area, in square feet, of Jim’s flower bed?

A) 10π

B) 20π

C) 25π

D) 100π

we know that

The area of a circle (Jim's circular flower bed) is equal to

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

where

r is the radius of the circle

we have

[tex]r=10/2=5\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]A=\pi (5)^{2}[/tex]

[tex]A=25\pi\ ft^{2}[/tex]

Answer:

C)

Step-by-step explanation:

The third graph represents this system.

Answer:

Graph C

Step-by-step explanation:

Thinking process:

The are two ways to solve the system:

1. the substitution method:

for equation (1) y = 1/2x + 3

when x = 0, y = 3

when y = 0, x = -6

for equation (2) y = 3/2x - 1

when x= 0; y = -1

when y = 0; x = 2/3

this gives line C

2. another way to solve the simultaneous equations:

y = 1/2x + 3  ...1

y = 3/2x - 1    ...2

substuting (1) into  (2)

3/2x - 1 = 1/2x + 3

x = 4

substituting x = 4 into (1):

y = 1/2x + 3

y = 1/2(4)+ 3

  = 5

the point of intersection will be (4 , 5) which is line c

Either method works.

Answer:

$32

Step-by-step explanation:

The money she spent was $5 on the kitten and if you add $5 to the remaining $27 that is $32

Current amount that Penny have is $32.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

The amount that Penny have after  = $27.

Also, Penny pays $5 for her new kitten.

Since, amount $27 remains after paying $5.

So initial amount should more than $5.

The amount = current amount + amount paid for kitten

                              = 27 + 5

                              = 32

The required amount that Penny have = $32.

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Answer:

The correct answer is C. 0.033/2

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Annual interest rate = 3.3% compounded semiannually

2. Let's find the exact value of the rate:

Number of periods (n) = n/2, given that periods are semesters and not years

Annual interest rate (r) = 3.3% = 3.3/ 100 = 0.033

For using the correct value in the present value annuity formula, we also have to divide the annual interest rate because the interest is compounded semiannually or every six months, what it means:

0.033/2

The correct answer is C. 0.033/2

c. [tex]\frac{0.033}{2}[/tex]

on edgen

If the line is parallel to y=1/5x-4, the line must have the same slope.

So, the slope of your line is 1/5.

Now we need to find the y intercept. We should use the point given.

y=mx+b

1=1/5(5)+b

b=0

Equation: y=1/5x

Answer:

y = (1/5)x

Step-by-step explanation:

y = mx+b

m= slope would be the same i.e. 1/5 , since it's parallel to the given equation.

y= 1

x= 5

Hence, let's look for the equation of this line of which the coordinate is provided!

1 = (1/5)(5) + b

1 = 1 +b

1-1 = b

b = 0

Hence the equation of this line is:

y = 1/5(x)

Hope this helps!

Mark brainliest of you think I helped! Would really appreciate!

Answer:

17 is the simplified answer.

Step-by-step answer:

Given that:

y = 4.

We have to evaluate:

=5 + y + 8

By putting value of y that is y =4 in above equation:

=5 +4 +8

=9 +8

=17

So 17 is simplified answer for this question.

I hope it will help you!

Answer:

The numerical value of the trigonometric function is 30 °

Step-by-step explanation:

Given trigonometric function as :

[tex]\frac{1 + cos x}{sin x}[/tex] + [tex]\frac{sin x}{1 + cos x}[/tex] = 4

or, Taking LCM we get

[tex]\frac{(1+cosx)^{2}+sin^{2}x}{(sinx)\times (1+cosx)}[/tex] = 4

Or,  ( 1 + cos x )² + sin² x = 4 × ( sin x ) × ( 1 + cos x )

1 + cos² x + 2 cox + sin² x = 4 sin x + 4 sin x × cos x

or, (  cos² x + sin² x ) + ( 1 + 2 cos x ) = 4 sin x ( 1 + cos x )

 ∵  cos² x + sin² x = 1

or,  1 + 1 + 2 cos x  = 4 sin x ( 1 + cos x )

or, 2 + 2 cos x = 4 sin x ( 1 + cos x )

or, 2 ( 1 + cos x ) = 4 sin x ( 1 + cos x )

Or, [tex]\frac{2 ( 1+ cos x )}{4 ( 1 + cos x )}[/tex] = sin x

Or, sin x = [tex]\frac{1}{2}[/tex]

∴  x = [tex]sin^{-1}\frac{1}{2}[/tex]

 ∵ sin 30 ° = [tex]\frac{1}{2}[/tex]

I.e  x = 30 °

Hence The numerical value of the trigonometric function is 30 °  answer

Answer: D. sin x= 1/2

Step-by-step explanation:

Edg 2020

Answer:

+1

Step-by-step explanation:

The y-intercept is +1.

Answer:

5,070

Step-by-step explanation:

Answer:

5069.0

Step-by-step explanation:

The tenth value is the value directly after the decimal point. In this case, the number given is a whole number, and so to find the tenth place value, add a decimal point and a 0 to the back.

~

Answer:

C) -5 -1/8

Step-by-step explanation:

You need to use the distributive property.

1) ( - 1/2 x 10 ) + ( - 1/2 x 1/4 )

2) 10 / -2 = -5, and -1/2 x 1/4 = -1/8

3) Make them into one equation. -5 - 1/8 is the same as - 1/2 ( 10 + 1/4 )

Final answer:

The equivalent expression to -1/2(10 + 1/4) is -5 - 1/8. Simplify the expression by distributing the -1/2 and combining the results.

Explanation:

The expression given is: -1/2(10 + 1/4)

To simplify this expression:

Distribute the -1/2: -1/2 * 10 = -5 and -1/2 * 1/4 = -1/8

Combine the results: -5 - 1/8

Therefore, the equivalent expression is: -5 - 1/8 (Option B)

Answer:

[tex]a_n = 8n+8[/tex] represent the sequence 16,24,32,40...

Step-by-step explanation:

The sequence given is

16,24,32,40.

And the options given are

an=4n+1

an=8n+8

an=8n+16

We will check for all so as to find the correct expression.

In the given sequence the first term is 16,

i.e a1 = 16

1). We will check for an = 4n+1 whether the first term is 16 or not.

We will put the value of n as 1;

[tex]a_1= 4\times1+1= 4+1=5[/tex]

With this option we get the first term as 5 but in the given sequence first term is 16.

Hence this option is Incorrect.

2). We will check for an = 8n+8 whether the first term is 16 or not.

We will put the value of n as 1;

[tex]a_1= 8\times1+8= 8+8=16[/tex]

With this option we get the first term as 16 and in the given sequence also first term is 16.

Hence this option is correct.

3). We will check for an = 8n+16 whether the first term is 16 or not.

We will put the value of n as 1;

[tex]a_1= 8\times1+16= 8+16=24[/tex]

With this option we get the first term as 24 but in the given sequence first term is 16.

Hence this option is Incorrect.

Hence we can say that an = 8n+8 represent the sequence 16,24,32,40...

Answer:

the radio of the Numbers of toucans to the Numbers of parrots at the zoo is 1:4

Step-by-step explanation:

For each toucan there are 4 parrots

15/60 = 1/4

Answer: 1:4

Step-by-step explanation: the answer would be 1:4.

1. The definition of a function is based on the concept of a mapping from one set to another, where each element in the domain has a unique image in the range. This is a fundamental concept in mathematics and is used to describe relationships that are deterministic in nature.

2. To determine if a set of ordered pairs is a function, one must ensure that no two ordered pairs have the same first component (x-value) and different second components (y-values). This is known as the vertical line test. If a vertical line can be drawn that intersects the graph of the relation at more than one point, then the relation is not a function.

3. The slope-intercept form is a standard form for linear equations that is particularly useful for graphing lines and for understanding the slope and y-intercept of the line. It is derived from the general form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.

4. In the given equation y = -2x + 6, the coefficient of x represents the slope, which is -2, indicating that for every 1 unit increase in x, y decreases by 2 units. The constant term, 6, represents the y-intercept, which is the value of y when x = 0.

5. A horizontal line has a slope of zero because there is no change in the y-value as the x-value changes. Thus, the slope, which is the ratio of the change in y to the change in x, is zero. The equation of a horizontal line is simply y = b, where b is the y-value of every point on the line.

A vertical line has an undefined slope because the change in x is zero (since x does not change), and division by zero is undefined in mathematics. The equation of a vertical line is x = a, where a is the constant x-value for every point on the line.

Answer:

(3•5•2a3b4)

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 -15ab • (0 -  (2a2 • b3))

Step  2  :

Multiplying exponential expressions :

2.1    a1 multiplied by a2 = a(1 + 2) = a3

Multiplying exponential expressions :

2.2    b1 multiplied by b3 = b(1 + 3) = b4

Answer: x= -25

Step-by-step explanation:

Answer:

x=-25

Step-by-step explanation:

x/5 = 8 = 3 you would multiply both sides by 5

youd end up with x+40=15 then you would move the constan to the right

x=15-40 you would subtract 40 from 15

x=-25

Answer:

[tex]f(x)=x-5[/tex]

Step-by-step explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have the ordered pairs

(10,5) and (2,-3)

substitute the values

[tex]m=\frac{-3-5}{2-10}[/tex]

[tex]m=\frac{-8}{-8}[/tex]

[tex]m=1[/tex]

step 2

Find the equation of the line in slope intercept form

[tex]f(x)=mx+b[/tex]

we have

[tex]m=1[/tex]

[tex]point\ (10,5)[/tex]

substitute and solve for b

[tex]5=(1)(10)+b[/tex]

[tex]5=10+b[/tex]

[tex]b=-5[/tex]

The linear function is equal to

[tex]f(x)=x-5[/tex]

The linear function with the values [tex]f(10)=5[/tex] and [tex]f(2)=-3[/tex] is [tex]f(x)=x-5[/tex].

Step-by-step explanation:

Given information:

The values of a liner function

[tex]f(10)=5[/tex]

and

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

So, we can write the slope as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\[/tex]

On, putting the values:

[tex]m=\frac{-3-5}{2-10} \\m=1[/tex]

Point (10,5)

Now ,substitute the values in the linear equation:

[tex]\text {y=mx+b}[/tex]

where, m is the slope.

[tex]5=1 \times 10 + \text b\\\text b=-5[/tex]

Now put the values to get the required linear function.

So, the linear function with the values  [tex]f(10)=5[/tex] and [tex]f(2)=-3[/tex] will be [tex]f(x)=x-5\\[/tex]

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Answer:

X=-2

Step-by-step explanation:

PLUG IT IN HTE EQUATION BRAINLIEST PLZZZ

Answer:

x = - 2

Step-by-step explanation:

Given

2x - (4x - 4) = 16 - 8 = 8 ← distribute parenthesis and simplify left side

2x - 4x + 4 = 8

- 2x + 4 = 8 ( subtract 4 from both sides )

- 2x = 4 ( divide both sides by - 2 )

x = - 2

Answer:

A) (x-1)^2+(y+4)^2=4

Step-by-step explanation:

Here's the equation of a circle with center and radius:

(x-h)^2+(y-k)^2=r^2 with the center being at the point (h, k)

and the radius being r.

(x-1)^2+(y-(-4))^2=2^2

(x-1)^2+(y+4)^2=4

The equation of a circle with center (1, -4) and radius 2 is (x-1)²+(y+4)²=4

The correct option is (A).

The equation of circle represents the locus of point whose distance from a fixed point is a constant value. This fixed point is called the center of the circle and the constant value is the radius of the circle.

The standard equation of circle with center at (x1,y1)  and radius r is (x−x1)²+(y−y1)²=r².

We know equation of circle,

(x-a)²+(y-b)²=r²

Here, a=1, b=-4 and r=2

So,

(x-1)²+(y-(-4))²= 2²

(x-1)²+(y+4)²=4

Hence, the equation of circle is: (x-1)²+(y+4)²=4

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The product of two square roots is equal to the square root of the product, so the product of √y3 and √y3 is y3.

The equation is asking you to multiply the square root of y cubed by itself.

Based on the properties of square roots, if you multiply the square root of a number by itself, you get the original number.

This is because multiplication is the inverse operation for square roots. Meaning, it undoes the square root.

So, in this scenario, you are multiplying [tex]\sqrt{y^{3} }[/tex] * [tex]\sqrt{y^{3} }[/tex]which results in y^3.

Thus, the product of [tex]\sqrt{y^{3} }[/tex] and  [tex]\sqrt{y^{3} }[/tex]is y^3, assuming y≥0.

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Answer:

D

Step-by-step explanation:

multiply out the top to get 6x - 4 + 2x - 2 = 8x - 6

next look at the 4 choices.

when we multiply out and combine only for the x term, only the bottom two give us 8x.

3/4 * 4x + 5 * x = 8x

3/4 * 4x + 1/6 * 30x = 8x

next we look at the bottom two for which one will give us -6, in this case only D will.

3/4 * -8 + 5 * 15 = 69

3/4 * -12 + 1/6 * 18 = -6

Answer:

Basically when you use parantheses it protects that number from becoming negative...

-10^2 is -100 but with paranthesis is 100

Answer:

without the parenthesis it would just be 100 but with it, it would be -100 :)

Answer:

8

Step-by-step explanation:

The discriminant of ax² + bx + c = 0 is b² − 4ac.

Here, a = -1, b = 4, and c = -2.

b² − 4ac

(4)² − 4(-1)(-2)

16 − 8

8