Is this right I just need confirmation pls

Answer: b = √6

Step-by-step explanation: Use the Pythagorean Theorem to solve this.

a² + b² = c²

Plug in your values:

2√3² + b² = 2b²

When a square root is squared, the square root is cancelled out so you will be left with this:

2(3) + b² = 2b²

Subtract b² from both sides so you’re left with:

6 = b²

Now, to get rid of the square, just square root both sides:

√6 = √b²

Since the √6 is not a perfect square, leave it in the radical. Then, you get your answer:

b = √6

Answer:

the answer:b is equivalent to 2

Answer:

8 in

Step-by-step explanation:

[tex]b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8[/tex]

Answer:

-1

Step-by-step explanation:

Gradient is another word for slope, and slope can be defined as rise/run.

From the point (0,0) to (1,-1), it moved one unit down and one unit to the right. The slope for this line can be represented as -1/1, which is equal to -1.

Therefore, the gradient of the graph shown is -1.

Answer:

The green line is LM

The red line is JM

The blue point is at the coordinates (2/3, -14/3)

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The student is paid K50 each day so after 20 days they should have K1000 but he is paid K700 which means they missed some days of work.

So we divide K700 by K50 which then gives us 14, therefore the student worked 14 days out of 20.

[tex]7x(x^2-5)[/tex]

Step-by-step explanation:

[tex]7x^3-35x[/tex]

Factor Greatest Common Factors out

[tex]7x(x^2-5)[/tex]

I hope this helps you

:)

Answer:

[tex]\mathsf{slope=-\dfrac25}[/tex]

Step-by-step explanation:

[tex]\mathsf{let \ (x_1,y_1)=(-8,2)}[/tex]

[tex]\mathsf{let \ (x_2,y_2)=(7,-4)}[/tex]

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}[/tex]

Answer:

-2/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-2)/(7-(-8))

m=-6/(7+8)

m=-6/15

simplify

m=-2/5

Answer:

B. Smaller

Step-by-step explanation:

This is because absolute value doesn't matter about negative or positive

Answer:

your answer would be 2035.75ft³

Answer:

second option. One lap around the mall is equal to about 2,425 steps

TheThe statement that  is true about the graph of the line representing Debi’s data is: One lap around the mall is equal to 2,425 steps.

Given:

With the 0 lap she has 1,875 steps

With 1 lap she has 4,300 steps

Hence:

One laps around the mall= 4,300 steps-1,875 steps

One laps around the mall=2,425 steps

Therefore the correct option is B.

Learn more about Correct statement about the graph of the line here:https://brainly.com/question/11375778

#SPJ9

Answer:

Step 1: Calculate percentage discount

=> $97,899.99 × 25/100

=> 97,899.99/1 × 25/100

{multiply the numerator by the numerator and the denominators by the denominators}

=> 2,447,499.75/100

divide 24,474.9975 by 100

=> 24,474.9975

=> 24,474.9975

{Substract 24,474.9975 from 97,899.99.}

=> 97,899.99 - .24,474.9975

=> 73,424.9925

Step 2: Calculate sales tax rate

Sales tax rate = price × rate/100

=> 73,424.9925 × 3.75/100

=> 275,343.7/100

=> 2,753.437

Add to 73,424.9925

=> 73,424.9925 + 2,753.437

=> 76,178.4295

=> 76,178.4 { Rounded to 1 dp)

Therefore, the total price of the purchases is 76,178.4295

. Suppose you received $ from your grandmother for your birthday. You spent $ on snacks. Using

addition, how would you write an equation to represent this situation?

+ (−) =

b. How would you model your equation on a number line to show your answer?

Real-world situations can be modeled with equations and represented on a real number line. In this exercise, positive

ten represents the $10 given as a birthday gift because it is a gain. Negative four represents the $4 spent on snacks

because it is a loss. Gaining $10 and then taking away $4 leaves you with $6.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ A=30.6\\ a=3.2\\ b = 7 \end{cases}\implies 30.6=\cfrac{h(3.2+7)}{2} \\\\\\ 61.2=h(3.2+7)\implies 61.2=10.2h\implies \cfrac{61.2}{10.2}=h\implies 6=h[/tex]

The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y represent the amount of bacteria after x hours. Hence:

y = 100(8)ˣ

The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

its c third graph

Step-by-step explanation:

right on edge

Answer:

10

Step-by-step explanation:

1/8 of 16 is 2

1/4 of 16 is 4

2+4=6

16-6=10

Answer:

x = 8

Step-by-step explanation:

5(x-2)=30

Distribute

5x- 10 = 30

Add 10 to each side

5x-10+10 = 30+10

5x= 40

Divide by 5

5x/5=40/5

x = 8

Answer:

x=

Step-by-step explanation:

using distributive property, you multiply 5 by x and by 2, which gets you 5x and 10

5(x-2)=30

5x-10=30

5x=40

x=8

Step-by-step explanation:

2 inches = 3 feet

x inches = 12 feet

[tex] \bf \frac{2}{3} = \frac{x}{12} \\ \\ \bf 3 \cdot x = 2 \cdot 12 \\ \\ \bf 3 \cdot x = 24 \\ \\ \bf x = \frac{24}{3} \Rightarrow \green{ \boxed{ \bf x = 8} } [/tex]

Answer:

[tex] \bf \boxed {x=8} [/tex]

Step py step explanation:

2 inces ........ 3 feet

x inces ......... 12 feet

⇒ x = 12 • 2 /3

x = 24/3

x = 8

______

Answer:

153.86 units^2

Step-by-step explanation:

the area of a circle = pi * r^2

To find r, divide the diameter in half.

14/2 = 7

Now, area = pi * 7^2

= pi * 49

= 153.86

hope this helps!

Answer:

153.94 square units

Step-by-step explanation:

d=14 units

r=d/2

=14/2

=7 units

Area of a circle=math.pi x r^2

=3.14 x (7)^2

Answer:

False

Step-by-step explanation:

[tex]36 \times 8 = 304[/tex]

[tex]304 \div 12 = 25.333[/tex]

[tex]25.323=25.333[/tex]

Hence, the equation is false.

Answer:

B -8

Step-by-step explanation:

Answer:

The answer is B. 8

Step-by-step explanation:

Hope this helps :)

The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

[tex]\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx[/tex]

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so

[tex]\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7[/tex]

[tex]\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}[/tex]

Answer:

Step-by-step explanation:

3x-7 ≤ 14

3x≤ 14+7

3x≤ 21

x≤ 21/3 = 7

=> x = (-∞;7]

That means that x can be any negative number and any positivi number (1,2,3...7)

Answer:

The correct option is  A

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 0.8 \ pounds[/tex]

    The standard deviation is  [tex]\sigma = 0.25 \ pounds[/tex]

Generally the the probability that a  randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as

       [tex]P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})[/tex]

=>    [tex]P(0.55 <  X  <  1.3)  =  P( -1 <  Z  <  2 )[/tex]

So looking the option of normal curves given in the question we see that it is option A that matches our interval  

Step-by-step explanation:

5 tablespoons = 2 cups milk

1 tablespoon = 2/5 cups milk

40 tablespoons = 2/5 × 40 = 16 cups milk

Answer:

10 eggs per chicken

Step-by-step explanation:

if you divide you get 10 eggs per

Answer:

3) D

5) C

3) 6m+5n-m --> 6(5)+5(3)-(5)

                          30+15-5 --> 45-5 --> 40

5) 4(x+4)+2

   4x + 16 +2

   4x +18

Answer:

3)

Given:

m = 5

n = 3

We plug in these values into our equation (6m + 5n - m);

6m + 5n - m

Now modified, would be:

6(5) + 5(3) - 5

30 + 15 - 5

45 - 5

= 40

5)

If we simplify this expression,

4(x + 4) + 2

We use the distributive property to multiply 4 to both x and 4 which are in the brackets.

Which will now be;

4x + 16 + 2

Now we combine like terms (our constants):

(16 + 2) = 18

So it would be, now:-

4x + 18, C is your answer.

Answer:

1. $180

$43,187

$23,187

2. $335

$100,703

$60,703

3. $341

$81,798

$41,798