help me with this pls​

A graph is the plot of a function or a proportion thus (1,18) represents the number of cookies made by using 1 cup of flour is 18.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given graph of the number of cookies and cups of flour.

The coordinate of a point is (x,y) and here x-axis is the cups of flour and the y-axis is the number of cookies.

Since x = 1 so cups of flour are 1.

Since y = 18 so the number of cookies is 18.

Hence "A graph is the plot of a function or a proportion thus (1,18) represents the number of cookies made by using 1 cup of flour is 18".

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The surface area of the rectangular prism in this problem is given as follows:

A. 426 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.

The dimensions for this problem are given as follows:

5 m, 12 m and 9 m.

Hence the surface area of the prism is given as follows:

S = 2(5 x 12 + 5 x 9 + 12 x 9)

S = 426 m².

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The Volume of the solid obtained by rotating the region bounded by the curves is 5 cm³.

Volume of a solid plain:

The volume of a solid is a measure of the space occupied by an object. It is measured by the number of unit cubes required to fill the solid.

Given in the question:

y = 2 - 1/2x

y = 0 , x = 1 and x = 2

As we know that:

\(\int\limits^2_1 {\pi (2 - \frac{1}{2}x - 0 })^2 \, dx\)     ------------------------------ (1)

Simplifying,

      \(\pi \int\limits^2_1 {(2 - \frac{x}{2} )}^2 \, dx\)\(\pi \int\limits^2_1 {(4 - 2x + \frac{x^2}{4} )\, dx\)

⇒ \(\pi \int\limits^2_1 {(4 - 2x + \frac{x^2}{4} )\, dx\)

⇒ \(\pi [ 4x - x^2 + \frac{x^3}{12}]_1^2\)

⇒ \(\pi [(8 - 4+ \frac{8}{12} ) - ( 4 - 1 + \frac{1}{12} )\)

⇒ \(\pi (1 + \frac{7}{12})\)

⇒ \(\frac{19\pi }{12}\)

We can write 19π / 12 as

   (19× 22/7 )÷ 12

=  209/ 42

= 4.97 ≈ 5 cm³

Therefore, the volume is 5 cm³

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Answer:  No, the figure is not unique.

Reason:

The phrasing "at least 2" means "2 or more".

If the quadrilateral has exactly 2 right angles, then it could be a trapezoid as indicated in figure 1. Or it could be a kite shown in figure 2.

If the quadrilateral has exactly 3 right angles, then the 4th angle must be 90 degrees as well (since the equation 90+90+90+x = 360 solves to x = 90). This leads to either a rectangle or a square.

A fraction of the students who have brown hair is equal to 1/7.

You should shade only one (1) section on the pie chart to show the number of students with brown hair.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;

Number of brown hair = 1 brown hair.

Number of blonde hair = 4 blonde hair.

Number of black hair = 2 black hair.

Therefore, the total number of hairs is equal to 7 hairs.

For the fraction of students with brown hair, we have;

Fraction = 1/7.

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Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

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Answer: 14%

Step-by-step explanation:

Let's assume that there are 100 books in total.

So there are 60 fiction books and 40 nonfiction books.

10% of 60 is 6.

20% of 40 is 8.

So there are 14 books out of 100 that are worn.

This is 14%

The 95% confidence interval for the average maximum heart rate is given as follows:

(158.6, 180.8).

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.

Using a calculator, the remaining parameters are given as follows:

\(\overline{x} = 169.7, s = 14.4, n = 9\)

Hence the lower bound of the interval is given as follows:

169.7 - 2.306 x 14.4/sqrt(9) = 158.6.

The upper bound of the interval is given as follows:

169.7 + 2.306 x 14.4/sqrt(9) = 180.8.

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Answer:

w < 1.5

Step-by-step explanation:

We solve these almost identical to solving equations. By going backwards in the process.

14 - 12.5 = 1.5

w < 1.5

Hope this helps!

H(x) is a decreasing function too.  fog will be decreasing function.

An easy definition of a function?

As a set of inputs with one output for each, a function is defined as a relationship between them.

                     In plain English, a function is an association between inputs in which each input is connected to precisely one output.

Let  h(x) = f(g(x))

 Hence,

        h'(x) = f'(g(x) ) . g(x)

  h'(x) = f'g(x)) . g(x)

 Now g(x) is a strictly decreasing function.

Then

  g'(x) < 0 for all real x.

Hence

     h'(x) < 0

since h'(X) = f'(g(X)) . g'(X) and g'(x) < 0

 Therefor h(x) is a decreasing function too.

 Hence fog will be decreasing function.

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A. The average speed was 36 mph.

B. The average speed on the drive from LA to Irvine was 25mph.

C. The total time he spent driving to and from the meeting was about 3 hours and 5 minutes.

The expression that uses the greatest common factor (GCF) to factor 24c-18 is option (a) 6(4c-3).

To factor the expression 24c-18 using the greatest common factor (GCF), we first identify the GCF of the coefficients 24 and 18, which is 6. We can then rewrite the expression as 6(4c-3).

The GCF represents the largest number that divides evenly into both 24 and 18. In this case, 6 is a common factor of both 24 and 18 because it divides both numbers without leaving a remainder. By factoring out the GCF, we simplify the expression and make it more manageable.

The resulting expression, 6(4c-3), demonstrates that the GCF, which is 6, can be multiplied by the expression (4c-3) to obtain the original expression 24c-18. This factored form provides a concise representation of the expression and highlights the common factor that is present.

In conclusion, option (a) 6(4c-3) correctly uses the GCF to factor 24c-18, demonstrating the application of the GCF concept in algebraic expressions.

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Among the mean, mode, and median, the unique one is the b. mode.

The mode is the data value that occurs many times more than other data values.

Unlike the mean that shows the average value of all the data values, the mode occurs more.  While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.

Similarly, the median can be computed when two values occur as the middle values.

Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.

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Answer:

1. 386 242.56 kilometers

2. 2.286 meters

Answer:

The correct option is C

Step-by-step explanation:

From the question we are told that

    The  sample size for company A is \(n_1 = 80\)

    The sample size for company B is  \(n_2 =  60\)

    The sample mean for A is  \(\= x _1  = \$16.75\)

    The sample mean for B  is  \(\= x _2  =  $16.25\)

  The population standard deviation for A is  \(\sigma_1 =  \$1.00\)

   The population standard deviation for B is   \(\sigma_1 = \$ 0.95\)

The null hypothesis is  \(H_o :  \mu_1 - \mu_2 = 0\)

The null hypothesis is  \(H_o :  \mu_1 - \mu_2 \ne 0\)

Generally the test statistics is mathematically represented as

  \( z =  \frac{ \= x_1 - \= x_2}{ \sqrt{\frac{ \sigma_1^2}{n_1} + \frac{ \sigma_2^2}{n_2} } }\)

=>   \(z  =  \frac{ 16.75 - 16.25}{ \sqrt{\frac{ 1.00^2}{80} + \frac{ 0.95^2}{60} } }\)

=>   \(z  =  3.01283186 \)

Generally from the  normal distribution table the probability  of  z  

      \(P(t > z) = 0.0013 \)

Gnerally the p-value is mathematically represented as

     \(p-value  =  2 *  P(z > 3.0 )\)

=>  \(p-value  =  2 *  0.0013 \)

=>  \(p-value  =  0.0026 \)

Step-by-step explanation:

A value is excluded when it makes the rational expression undefined. (such as making the denominator 0, etc.)

For example when x = 8, (x - 8) at the denominator will become 0 and make it undefined.

The correct options are the 3rd and 4th ones.

326 divided by 0.24 to the nearest hundredth is 1358.33

To divide 326 by 0.24 and round the result to the nearest hundredth, we can perform the following calculation:

326 ÷ 0.24 = 1358.3333

Rounding to the nearest hundredth means we need to look at the third decimal place.

So 326 divided by 0.24 to the nearest hundredth is 1358.33.

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Answer:

93.3 square feet

Step-by-step explanation:

12.8 + 5.9 = 18.7

18.7 x 10 = 187

187 / 2 = 93.3

Answer:

-1 : -7

0 : -4

1 : -1

2 : 2

3 : 5

Step-by-step explanation:

Plug in x to the x in the equation

Answer: Sir in what way would you like me to explain this

Step-by-step explanation:

Answer:

The domain is -2 to positive 2.

Answer:

answer is D

Step-by-step explanation:

(2^3)^-2= 2^(3)*(-2)
             = 2^-6
             = 1/2^6
             = 1/64

     

The expressions (a), (d), (e) and (f) have values less 1.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Solving each expression :-

1) 4¹¹ / 4¹⁴        

= 4¹¹ × 4⁻¹⁴

= (4)¹¹⁻¹⁴

= 4⁻³

= 1 / 4³

2) (3⁵)² / 3⁸

= 3¹⁰ / 3⁸

= 3¹⁰⁻⁸

= 3²

= 9

3) 4⁻¹ × 4⁵

= 4⁻¹⁺5

= 4⁴

= 64

4) (2³)⁻²

= 2⁻⁶

= 1 / 2⁶

5) (5⁴)² x 5⁻¹¹

= 5⁸ x 5⁻¹¹

= 5⁻³

= 1 / 5³

6) (6⁻⁴ x 6⁶) / 6³

= 6² / 6³

= 1 / 6

Hence, the expressions (a), (d), (e) and (f) have values less 1.

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Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

Answer:

(z+w)y = X

Step-by-step explanation:

first add Z to both sides

w+z = x/y

then multiply both sides by Y

(w+z)y=x

Answer:

7

Step-by-step explanation:

do you really need help

..............

so why I have to wait for 12 min

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \tt \: 6 y = 42\)

Divide both sides by 6.

\( \tt \: y=\frac{42}{6} \\ \)

Divide 42 by 6 to get 7.

\( \boxed{ \boxed{ \bf \: y = 7}}\)