The sum of 12 and 30 multiplied by 6

Answer:

Hey mate.....can't see the attached picture....please check again

Answer:

what table??

Step-by-step explanation:

Answer:

a) 3.5metres

b) 34metres

Answer:

28 cents.

Step-by-step explanation:

There are 4 cups in 1 quart. So, 4 quarts is 16 cups.

If 4 quarts costs $4.48, to find the price per cup, you need to divide $4.48 by 16.

4.48 ÷ 16 = 0.28

This means each cup is 28 cents.

I hope this helps! :)

Step-by-step explanation:

you devide 4.48by 16 and your answer is 0.28

Answer:

21.0166

Step-by-step explanation:

1) 4m+3j, 2 terms.

2) -11x+6y+9, 2 terms

3) [tex]11g^5+6g^4-4gh\\[/tex], 2 terms

Answer:

b=-17

Step-by-step explanation:

1) add common terms aka 5 and 12, which is 17

b+17=0

2) move seventeen to the other side by doing the opposite opperation of addition which is subtraction

b=-17

Answer:

157,000,000,000

Step-by-step explanation:

314,000,000 X 500

Answer:

its A 6.5................

Answer:

see explanation

Step-by-step explanation:

(1) False

A dilatation enlarges or reduces the original figure

Then the distance between consecutive vertices changes.

(2)

Assuming the centre of dilatation is at the origin then multiply the coordinates of the points by the scale factor k = 0.25 ( a reduction )

J (4, 8 ) → J' (4(0.25), 8(0.25) ) → J' (1, 2 )

K (8, 8 ) → K' (8(0.25), 8(0.25) ) → K' (2, 2 )

L (4, 2 ) → L' (4(0.25), 2(0.25) ) → L' (1, 0.5 )

Parallel lines have the same slope

The equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]

From the question, we have:

[tex]\mathbf{2x - 3y = 5}[/tex]

Make y the subject

[tex]\mathbf{- 3y = 5 - 2x}[/tex]

Divide through by -3

[tex]\mathbf{y = \frac 23 x - 5}[/tex]

Because the required equation is parallel to [tex]\mathbf{2x - 3y = 5}[/tex], then they must have the same slope

A linear equation is represented as:

[tex]\mathbf{y=mx + c}[/tex]

Where:

m represents the slope

So, by comparison:

[tex]\mathbf{m = \frac 23}[/tex]

This means that:

The required equation has a slope of 2/3

The equation of the line is:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

Where:

[tex]\mathbf{m = \frac 23}[/tex]

[tex]\mathbf{(x_1,y_1) = (-9,2)}[/tex]

So, we have:

[tex]\mathbf{y = \frac 23(x + 9) + 2}[/tex]

Open brackets

[tex]\mathbf{y = \frac 23x + 6 + 2}[/tex]

[tex]\mathbf{y = \frac 23x + 8}[/tex]

Hence, the equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]

Read more about equations of parallel lines at:

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I cant read it, the picture is blurry

121.37

there thank me later

x ≤ -2

Step-by-step explanation:

[tex]\begin{aligned}\tt 5x-13x&\geq 16\\\tt (5-13)x&\geq\tt 16\\\tt -8x&\geq\tt 16\\\tt 8x&\leq\tt -16\\\tt x&\leq\tt\frac{-16}{8}\\\tt x&\leq\tt -2\end{aligned}[/tex]

Answer:

the origin

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume to fill the empty part:

Using translation concepts, it is found that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

As for this problem, we have that:

More can be learned about translation concepts at https://brainly.com/question/4521517

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Answer:

[tex]y = - \frac{1}{5} x - 7[/tex]

Step-by-step explanation:

let's rewrite the equation

[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]

Now let's use the given point and substitute it to find the y-intercept

[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]

The required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The point is  (-5,-6) and is parallel to the line x+5y=25.

According to given question we have

By use of slope we get

x+5y=25

5y=25-x

Divide both sides 5 we get,

y=-1/5x+5

Where m= -1/5

Now you can find the equation of the parallel line using

[tex](y-y_{0} )=m(x-x_{0})[/tex]

Put the given point as (-5,-6) we have,

[tex](y+6)=\frac{-1}{5} (x+5)\\\\y=\frac{-1x}{5} -1-6\\\\y=\frac{-1x}{5} -7[/tex]

Therefore, the required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is

[tex]y=\frac{-1x}{5} -7[/tex].

Learn more details about slope here:

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53.5 dollars is the total interest paid on both loans.

What is Compound Interest ?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Loan A :

CI = P(1 + R/100)∧(T) - P

CI = 5000(1 + 12/100)∧(5/2) - 5000

CI = 1637.66

Loan B :

CI = P(1 + R/100)∧(T) - P

CI = 5000(1 + 6/100)∧(5) - 5000

CI = 1691.13

difference between two CI

= 1691.13 - 1637.66

= 53.47

= 53.5 dollars

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Answer: 292.68 m²

Step-by-step explanation:P=2a+2b

P=2*54.88m+2*91.46m

P=109.76m+182.92m

P=292.68m²

Answer:

c

Step-by-step explanation:

The absolute value function would be;

b. y= -7 |x - 8| +4

Given that;

The functions are,

a. y= 7 |x+8| -4

b. y= -7 |x-8| +4

c. y= -7 |x+8| -4

d. y= -7 | x-8| -4

Since, The absolute value function is a mathematical function that returns the positive magnitude or value of a given number, disregarding its sign. It is denoted by enclosing the number within vertical bars (| |).

In the given options, the equation that represents the absolute value function is:

b. y = -7 |x - 8| + 4

This equation represents a downward-opening V-shaped graph with its vertex at (8, 4).

As x approaches 8 from the left, the value of y decreases.

As x moves away from 8 towards positive or negative infinity, the value of y increases.

Therefore, the correct option is (b).

To learn more about the function visit:

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Answer:

35

Step-by-step explanation:

Using the definition of n[tex]C_{r}[/tex]

with n = 7 and r = 3

7[tex]C_{3}[/tex]

= [tex]\frac{7!}{(7-3)!3!}[/tex]

= [tex]\frac{7!}{4!(3!)}[/tex]

= [tex]\frac{7(6)(5)(4)(3)(2)(1)}{4(3)(2)(1)3(2)(1)\\}[/tex] ← cancel 4(3)(2)(1) on numerator/denominator

= [tex]\frac{7(6))(5)}{3)2)(1)}[/tex]

= [tex]\frac{210}{6}[/tex]

= 35

Answer:

HCF=2*2=4

Step-by-step explanation:

Given :   Shane wants to plant 28 marigold plants and 36 rose plants in his garden  

To Find :  the greatest number of rows possible  each row has the same

number of marigold plants and the same number of rose plants.​

Solution:

marigold plants  = 28

rose plants = 36

To find  the greatest number of rows possible  if each row has the same

number of marigold plants and the same number of rose plants.​

we need to find HCF of 28 and 36

28 = 2 x 2 x 7

36 = 2 x 2 x 3 x 3

HCF = 2 x 2  = 4

greatest number of rows possible  is 4

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If the HCF of (p²-p-6) and (p²+3p-18) is (p-a). Find the value of a ...

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Answer:

False

Step-by-step explanation:

The angles are different degrees

Answer: false

Step-by-step explanation: dont really have an explenantion

Answer:

the distributive property

Step-by-step explanation:

it allows us to multiply each term of the first polynomial by each term of the second

PLS mark Brianliest

Let z = 2 - 2√3 i. In polar form, we have

[tex]z = |z| e^{i\arg(z)}[/tex]

where

[tex]|z| = |2-2\sqrt3| = \sqrt{2^2 + (-2\sqrt3)^2} = 4[/tex]

[tex]\arg(z) = \tan^{-1}\left(-\dfrac{2\sqrt3}2\right) = -\tan^{-1}(\sqrt3) = -\dfrac\pi3[/tex]

Equivalently,

[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right)[/tex]

Let w be a complex number such that w ² = z. By DeMoivre's theorem,

[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right) \\\\ \implies z^{1/2} = 4^{1/2} \left(\cos\left(\dfrac{-\frac\pi3+2k\pi}{2}\right) + i \sin\left(\dfrac{-\frac\pi3+2k\pi}{2}\right)\right)[/tex]

where k ∈ {0, 1}. So the two square roots of z are

[tex]z^{1/2} = \begin{cases}2\left(\cos\left(-\dfrac\pi6\right) + i\sin\left(-\dfrac\pi6\right)\right) & \text{for }k=0 \\\\ 2\left(\cos\left(\dfrac{5\pi}6\right) + i\sin\left(\dfrac{5\pi}6\right)\right) & \text{for }k=1\end{cases}[/tex]

[tex]z^{1/2} = \begin{cases}2\left(\dfrac{\sqrt3}2 - \dfrac12 i\right) & \text{for }k=0 \\\\ 2\left(-\dfrac{\sqrt3}2 + \dfrac12 i\right) & \text{for }k=1\end{cases}[/tex]

[tex]\boxed{z^{1/2} = \begin{cases}\sqrt3 - i & \text{for }k=0 \\ -\sqrt3 + i & \text{for }k=1\end{cases}}[/tex]

Answer:

24 in by 24 in

Step-by-step explanation:

Height of the box is 3 in, then

area of base is 972/3 = 324 in.

The side of the box base is [tex]\sqrt{324}[/tex] = 18

The side of the square piece of carboard is 18 + 2 x 3 = 24 in.