Please help me with this.

Answer: 5:12

Step-by-step explanation:

[tex]\displaystyle\\30:72=\\\\\frac{30}{72}=\\\\ \frac{6(5)}{6(12)}=\\\\ \frac{5}{12}=\\\\ 5:12[/tex]

Answer:

The place value of 5 is HUNDREDTH

Explanation:

From the right-hand side, the place value of:

8 is Hundred

2 is Ten

6 is Unit

1 is Tenth

and finally, what we are required to tell,

5 is Hundredth.

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.

The relationship between two economic phenomena, such as employment and output, inflation and retail sales, and taxes and economic growth, can be visually illustrated using scatter plots.

Spread Plots. Points on a scatter (XY) plot depict how two sets of data relate to one another. Each dot in this illustration represents a person's weight in relation to their height. (The information is displayed as "Cartesian (x, y) Coordinates")

Display a connection between the data and a trend. Display all data points, including outliers, minimum, and maximum values. can draw attention to relationships. the sample size and exact data values are retained.

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Answer: 87

Step-by-step explanation:
You would do 26/30 which gives 86.6666666 but we round up to 87

Answer:

0.86666...

Step-by-step explanation:

26/30=0.86666...

rounded  to the nearest tenth is

0.9

The coordinates of the point M' is (-6,2) when the point M was reflected across x =-2.

Here, assume that there is a point A(a, b). This point is reflected across the line x = -2. When reflected across this line, the value of the y coordinate of this point A will not change, only the value of the x coordinates of the point A will change.

Here, the point M(1,2) is reflected across the line x = -2.

The coordinates of the reflected point M' are (a, b).

The value of will b will remains same as that of the point M.

Now, the location of a,

the distance between the line x = -2 and a will be same as that of the distance between 2 and x =-2 which is 4 units,

So, the location of a will be fours units away from x =-2 and in the opposite direction so, a = -6

So, the Point M' is (-6,2)

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4 tickets----------------------------->$40

8 tickts------------------------------->$x

Using cross multiplication:

8 tickets cost $80

The graph C shows the proportional relationship between x and y.

A proportional relationship is defined as "y varies proportionally with x" or "y is directly proportional to x."

For the given question;

The graph of the proportional relationship are given.

For the graph C, the relation tween x and y is said to be proportional because when the value of x increases the value of y decreases and also this line passes from the origin.

Thus, the graph C shows the proportional relationship between x and y.

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Charlie has $3.15 in his bank which contains only nickels and dimes. There are 9 more nickels than dimes. Then Number of dimes =18

and Number of nickels =27

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.

Given that : Charlie has $3.15 in his bank which contains only nickels and dimes. There are 9 more nickels than dimes

Let d be the number of dimes

d + 9 = Number of nickels

A dime = 0.1

nickle is = 0.05

0.1d + 0.05d + 0.45 = 3.15

0.15d = 2.7

d = 18

Number of dimes =18

Number of nickels = 18 + 9

=27

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Answer:

Step-by-step explanation:

the first one

Solution

Where

Now,

Therefore, V = 150

He got a 61.5% Discount

Best fit quadratic equation is: y = 77x + 140

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. An example of a quadratic equation is x² + 2x + 1. Here, an is greater than zero because if it equals zero, the equation will cease to be quadratic and change to a linear equation, such as bx+c=0. As a result, we cannot refer to this equation as a quadratic equation.

Given,

A shot-putter throws a shot and its height is noted every 20 feet

Best fit quadratic equation is:

y = 77x + 140

As after this equation, feet above ground is decreasing.

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Answer:

Below in bold.

Step-by-step explanation:

Using the Cosine Rule:

a^2 = b^2 + c^2 - 2bc cos A

10^2= 11^2 + 13^2 -2.11.13 cos A

cos A = (11^2 + 13^2 - 10^2) / (2*11*13)

          = 0.66434

m < A = 48.368 degrees

          = 48.37 degrees to 2 D. P's.

By the Sine Rule:

a / sin A = b / sin B

10 / sin 48.368 = 11 / sin B

sin B = 11 * sin 48.368 / 10

         = 0.82217

m < B = 55.303

          = 55.30 degrees to 2 D,P's

So, m < C = 180 - 48.37 - 55.30

                = 76.33 degrees

The required equation is g(x)=x+6

What is an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. A polynomial equation is the most common sort of equation. A mathematical equation is akin to a weighted scale. When equal weights of material (for example, grain) are placed in the two pans, the scale is balanced and the weights are said to be equal. To keep the scale in balance, if grain is withdrawn from one pan of the balance, an equal amount of grain must be removed from the other pan. In general, if the identical operation is done on both sides of an equation, it stays balanced.

The required equation is g(x)=x+6, when the parent function is 6 units up

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For z varies jointly with x and y. When x=5 and y=4, z=12.

a. Equation that models the relationship is z=(3/5)xy.

b. When x=15 and y=2 then z=18.

As given,

a. Equation that models relationship z varies jointly with x and y is:

z is directly proportional to product of x and y

⇒z∝ xy

⇒z=k xy

where k is symbol of proportionality.

When x=5 and y=4, z=12

12=k(5× 4)

⇒k=12/(5× 4)

⇒k=3 /5

Hence, z=(3/5)xy

b. When x=15 and y=2

z=(3/5)×15×2

 =18

Therefore, for z varies jointly with x and y, when x=5 and y=4, z=12.

a. Equation that models relationship is z=(3/5)xy.

b. When x=15 and y=2 then z=18.

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Answer:

Grade A: 0.2

Grade B: 0.3

Grade C: 0.2

Grade D: 0.15

Grade F: 0.15

Step-by-step explanation:

You take the number of the grade and divide that by the total.  The total is 20.  A 4/20 = 0.2

Grade B 6/20 = 0.3 and so on

Answer:

For part b. its grade D so it says how much right so I think u need to times it or divide it or so sorry if this doesn't help u

Answer:

the answer is B 40 because∆ABC is a triangle

The percentage of graduates from University A having income under $20,000 is 22%.

Percentage may be defined as the fraction which we get after dividing an entity from total number multiplied by 100. We have the total number of students in university A as 160. Now, we divide 35 that is the number of students who have an income under $20,000 in university A by 160 that is the total number of students in university A. We get the percentage as

P = (35/160) × 100

P = 0.218 × 100

P = 21.9 %

rounding off to nearest we get percentage as 22 %.

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Solution:

Given the data below:

A) Mean monthly flow:

The mean monthly flow is evaluated as

Thus, the mean monthly flow is 338.5 KAF

B) Median monthly flow:

The median is evaluated as

Answer:

20 pencils for $2.50 has the lesser price per pencil.

Step-by-step explanation:

$0.13 compared to $2.50 ÷ 20 = $0.125

$0.13 > $0.125

Given the expression:

The first step to solve it using the square root property, is moving the coefficient on the right side of the equation to the left side, changing it's sign:

Now, remember the rule for conjugates:

in this case we have the following:

therefore, we can factor the expression like this:

Finally, we have that the only values that make true the expression are:

The value of the given function, [tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} } }[/tex], found using L'Hospital's rule is; [tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} } = 16}[/tex]

L'Hospital's rule states that if the limits [tex]\displaystyle{ \lim \limits_ {x \rightarrow c}f(x)} [/tex] = [tex]\displaystyle{ \lim \limits_{x \rightarrow c}g(x)} [/tex]= 0 or [tex]\pm \infty[/tex], g'(x) ≠ 0 for all x in I and x ≠ c, also, [tex]\displaystyle{ \lim \limits _ {x \rightarrow c}\frac{f ' (x)}{ g ' (x)} } \: exists, \: then;[/tex]

[tex]\displaystyle{ \lim \limits _ {x \rightarrow c}\frac{f (x)}{ g (x)} =\lim \limits _ {x \rightarrow c}\frac{f ' (x)}{ g ' (x)} } [/tex]

The given function is [tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} } }[/tex]

According to L'Hospital's rule, we have;

Where;

f(x) = sec⁴x - 4

[tex] \displaystyle g(x) = x - \frac{\pi}{4} [/tex]

[tex] \displaystyle f'(x) = \frac{4\cdot sin(x)}{cos^5(x)} [/tex]

g'(x) = 1

Therefore;

[tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} }= \frac{ \frac{4\cdot sin(x)}{cos^5(x)}}{1}=\frac{4\cdot sin(\frac{\pi}{4})}{cos^5(\frac{\pi}{4})} = 16}[/tex]

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Your friend claims that the graph of f(x) = x - 2 can be produced by two distinct translations of the graph of the parent linear function. The graph moves down by 2 units.

Given that,

Your friend claims that the graph of f(x) = x - 2 can be produced by two distinct translations of the graph of the parent linear function.

We have to find how much units the graph moves.

This linear equation's parent function is y=x.

The way your friend described this function wasn't exactly accurate.

If the function's transformation takes the form y=f(x)+c, the graph will move vertically up or down along the y-axis depending on the value of c.

The graph moves up if c>0.

The graph drops down if c>0.

When y=x-2 and y=f(x)+c are compared, we see that c = -2, which is smaller than 0, in the equation y=x-2.

Therefore, the graph moves down by 2 units.

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Answer:

  z = 134°

Step-by-step explanation:

You want to know the measure of exterior angle z given remote interior angles of the triangle are 77° and 57°.

The exterior angle of a triangle is equal to the sum of the remote interior angles of the triangle. (It is useful to remember this.)

  z = 77° +57°

  z = 134°

__

Additional comment

As you know the value of the interior angle at C will be the supplement of the value of z: (180° -z). Then the sum of the interior angles is ...

  77° +57° +(180°-z) = 180°

Add (z -180°) to both sides of this equation and you get ...

  77° +57° +(180°-z) +(z -180°) = 180° +(z -180°)

  77° +57° = z . . . . simplified

In February, Robbins and Myers, Inc. executed a 2-for-1 split, then the

(a) . The shares did she hold after the split is 940 shares.

(b) . The post-split price per share is $34.74

(c) . Janine didn't gain or lose any money during the event.

Based on the given conditions,

In February, Robbins and Myers, Inc. executed a 2-for-1 split.

That means,

2 - for - 1 stock split.

= 2 / 1

= 2

(a) . How many shares did she hold after the split?

Then,

Janine had 470 shares before the split.

Each share was worth $69.48.

= 470 shares * 2

= 940 shares

Hence,

The shares did she hold after the split is 940 shares.

(b) . What was the post-split price per share?

Each share was worth $69.48.

Then,

= $69.48/2

= $34.74

Hence,

The post-split price per share is $34.74

(c) . Show that the split was a monetary non-event for Janine

We can write,

After the split, Janine had 940 share worth $34.74.

Since they doubled the amount of share, but decrease the amount of each share.

So,

Janine didn't gain or lose any money during the event.

Therefore,

Robbins and Myers, Inc. executed a 2-for-1 split,

(a) . The shares did she hold after the split is 940 shares.

(b) . The post-split price per share is $34.74

(c) . Janine didn't gain or lose any money during the event.

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Answer:

32 feet

Step-by-step explanation:

See attached worksheet

Answer:

a = 3 ; b = 1 ;  c = -5

Step-by-step explanation:

     a +b - 2c = 14 -----------------------------(I)

         4b + c = -1  -----------------------------(II)

                 c  = -5 ------------------(III)

Substitute c = -5 in equation (II) and find the value of 'b',

        4b + (-5) = -1

             4b     = -1 + 5

                4b  = 4

                  b = 4 ÷ 4

                 [tex]\sf \boxed{b = 1}[/tex]

Substitute c = -5 and b = 1 in equation (I)

        a + 1 - 2*(-5) = 14

          a + 1 + 10    = 14

                     a +11 = 14

                           a = 14 - 11

                           [tex]\sf \boxed{a = 3 }[/tex]

 a + b - 2c = 14

LHS = a + b - 2c

       = 3 + 1 - 2*(-5)

       = 3 + 1 + 10

       = 14 = RHS

Hence verified.

Answer:

(3, 1, - 5 )

Step-by-step explanation:

a + b - 2c = 14 → (1)

4b + c = - 1 → (2)

c = - 5 → (3)

substitute c = - 5 into (2)

4b - 5 = - 1 ( add 5 to both sides )

4b = 4 ( divide both sides by 4 )

b = 1

substitute b = 1 and c = - 5 into (1)

a + 1 - 2(- 5) = 14

a + 1 + 10 = 14

a + 11 = 14 ( subtract 11 from both sides )

a = 3

solution is (3, 1, - 5 )

as a check substitute values into (1) and (2)

a + b + c = 3 + 1 - 2(- 5) = 4 + 10 = 14 ← correct

4b + c = 4(1) - 5 = 4 - 5 = - 1 ← correct