A line passes through the point (12,-4) and is perpendicular to the line with the
equation y = 6x + 3. What's the equation of the line?
A) y = 6x - 76
B) y= -1/64 - 2
C) y= -4/5x+ 2
D) y = -6x + 68

Answer:

a. five, twelve, thirteen

I'm pretty sure It'd be 74° <3

Answer:

Sorry for being late!

the answer is D

Step-by-step explanation:

I just took the exam

Answer:

x=3 or x= −7

Step-by-step explanation:

Answer:

C) 3,-7

Step-by-step explanation:

x² + 4x - 21 = 0 (Given)

(x+7)(x-3) = 0 (Factor)

x+7 = 0 and x-3 = 0 (Zero Product Property)

x = -7 and x = 3 (Final Solutions)

Therefore, C is correct

Answer:

7x

Step-by-step explanation:

Answer: Last one I think

Step-by-step explanation:

Answer:

A = 450(1.1)^x

Step-by-step explanation:

Since the animal decreases by 10% each year, we will use the compound interest formula to find the required equation

A = P(1+r)^t

P is the number of animals = 450

r is the rate = 10% = 0.1

t is the time = x

Substitute into the formula;

A = 450(1+0.1)^x

A = 450(1.1)^x

This gives the required expression

Answer:16

Step-by-step explanation:I am doing the test :D

The surface area of the square pyramid is S = 736 cm²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Let the side length of the pyramid be s = 16 cm

So , Area of base B = (side length)² = 16² = 256 cm²

Next, let's find the area of each triangular face. Since the pyramid is a regular square pyramid, all the triangular faces are congruent.

The base is one side of the square base, which has length 16 cm. The height of the triangle is the slant height of the pyramid, which is given as 17 cm.

Using the Pythagorean theorem, we can find the height of the pyramid:

Height of the pyramid h = √(slant height² - ( base/2 )²)²

h = √(17² - 8²)

h = √225

h = 15 cm

Therefore, the area of each triangular face is:

Area of triangular face = (1/2) × base × height

Area of triangular face = (1/2) × 16 × 15

Area of triangular face = 120 cm²

Since there are 4 triangular faces, the total area of the triangular faces is:

Total area of triangular faces = 480 cm²

Finally, we can find the total surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Total surface area = Area of base + Total area of triangular faces

Total surface area = 256 + 480

Total surface area = 736 cm²

Hence , the surface area is 736 cm²

To learn more about surface area of pyramid click :

https://brainly.com/question/15050758

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Answer:

A) 20

B) 28%

Step-by-step explanation:

A) In order to find percentages you need to make them in to decimals. 80% as a decimal is .8, if you multiply 25 by the decimal .8, you get 20.

B) To find the percentage all you do is divide, 7/25, this gives you the decimal .28, this as a percentage is 28%.

Answer:

- Take the length and width, and multiply

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Given

Kwasi earned [tex]\$60[/tex] in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

[tex]\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36[/tex]

So, Kwasi has enough money left to buy a skateboard.

Answer:

89.804

Step-by-step explanation:

Answer:

a had 8 b had 10 total=180

Step-by-step explanation:

it's weird.  I never really liked word problems but think through it. if each of them had to be the same amount of points, then what does bothe 10 AND 8 fit into?

80. simple.

so that means there were 8 true false questions in section a and 10 multiple choice in b and there was 160 points total because 80 +80 = 160

Answer:

3.14

Step-by-step explanation:

[tex]\pi[/tex] or commonly known as Pi is equal to 3.14 so it will fit in between 3 and 4 but closer to 3.

Step-by-step explanation:

secx=1/cosx

=1/(root of 11/6)

=6/root 11

=6root 11/11

Answer:

sec θ = [tex]\frac{6\sqrt{11} }{11}[/tex]

Step-by-step explanation:

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex]

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex] , then

secθ = [tex]\frac{6}{\sqrt{11} }[/tex] × [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] = [tex]\frac{6\sqrt{11} }{11}[/tex]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

Answer:

[tex]4ab^2\sqrt{6a}[/tex]

Step-by-step explanation:

if your equation is [tex]\sqrt{96a^3b^4}[/tex] then my answer is correct! :)

Mark me as brainliest!!

Answer:

2/3

1

3/2

Step-by-step explanation:

[tex]\frac{27}{7} n>\frac{4}{3}[/tex]

[tex]n>\frac{7}{27}*\frac{4}{3}[/tex]

[tex]n>\frac{28}{81}[/tex]

Answer:

71

Step-by-step explanation:

Recall the trig ratios

Sine = Opposite over Hypotenuse

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given ∠T's  opposite side length and the adjacent side length.

When dealing with opposite and adjacent we use trig ratio Tangent.

( remember tan = opposite over adjacent )

[tex]tan(x)=\frac{52}{18}[/tex]

* multiply each side by the inverse of tan ( [tex]tan^-^1[/tex] )

[tex](tan)^-^1tan(x)=x\\(tan)^-^1*\frac{52}{18} =70.906508\\x = 70.906508[/tex]

* round to the nearest degree *

We get that x = 71

Answer: The answer to this problem is the second choice “As the x-value increases by 1, the y-value decreases by 1/2, the x-intercept is -2.

Have a nice day!

Answer:

P(-8,6), Q(-5,2), R(2,1)

Answer:

45 rand

Step-by-step explanation:

3 large pizzas is 10 ×3=R30

5 small drinks is 1.50×5=R7.50

tip of R7.50

add all

30+7.50+7.50

=45

Answer:

0.2222222222222222...

Step-by-step explanation: if not im sorry

Answer:

2.08008

so its = 2.1

i think

Answer:

Step-by-step explanation:

slope intercept form

y=mx+c