Which number has the least value?

1. 2 3/4
2. 5/2
3. 2.62
4. 245%

The scale drawing's representation of the rectangle floor's circumference is 68 inches.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

P = 2L + 2W

W = 5

P = 2L + 2(5) = 16

2L + 10 = 16

2L = 6

L = 3 ft

Hence, The scale drawing's representation of the rectangle floor's circumference is 68 inches.

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To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.

Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

\(\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}x^2\stackrel{\stackrel{b}{\downarrow }}{-2}x\stackrel{\stackrel{c}{\downarrow }}{-9}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ (-2)^2-4(9)(-9)\implies \text{\LARGE 328}\)

Answer:

4 4/6

Step-by-step explanation:

6 times 4 equals 24 . 28-24 =4 . Fraction is 4/6 .  

Answer: It would be the first one (20 pens for 8$)

Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.

Answer:

The point of estimate for the true difference would be:

\( 186-171= 15\)

And the confidence interval is given by:

\( (186-171) -1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= -10.753\)

\( (186-171) +1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= 40.753\)

Step-by-step explanation:

For this case we have the following info given:

\( \bar X_1 = 186\) the sample mean for the first sample

\( \bar X_2 = 171\) the sample mean for the second sample

\(s_1 =33\) the sample deviation for the first sample

\(s_2 =23\) the sample deviation for the second sample

\(n_1 = 8\) the sample size for the first group

\(n_2 = 7\) the sample size for the second group

The confidence interval for the true difference is given by:

\( (\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}\)

We can find the degrees of freedom are given:

\( df = n_1 +n_2 -2 =8+7-2= 13\)

The confidence level is given by 90% so then the significance would be \(\alpha=1-0.9=0.1\) and \(\alpha/2=0.05\) we can find the critical value with the degrees of freedom given and we got:

\( t_{\alpha/2}= \pm 1.77\)

The point of estimate for the true difference would be:

\( 186-171= 15\)

And replacing into the formula for the confidence interval we got:

\( (186-171) -1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= -10.753\)

\( (186-171) +1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= 40.753\)

The coordinating sine value for this angle of rotation will be 4.189.

From the complete information, in the unit circle, there's a point with -1/2 and the x value is 240°.

In this case, the coordinating sine value for this angle of rotation will be:

= (240 × π)/180

= (240 × 3.142) / 180

= 4.189

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The table is given below.

x      y

0     0

3      2

6      4

9      6

The variable 'y' is directly proportional to the variable 'x'. Then we have

y ∝ x

y = k x

At (9, 6), the value of the constant 'k' is given as,

6 = 9k

k = 6 / 9

k = 2/3

The proportionality is given as,

y = (2/3) x

The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.

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Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

-3x - 3y=9 (1)

+ 3x - 4y = 5 (2) First, Add equation 1 to equation 2

--------------------------

0 - 7y = 14 Then, isolate y

y= 14/ -7 = -2

Replace y in equation 2 or equation 1. Let's replace in equation 2

3x - 4(-2)= 5

3x + 8 = 5 Isolating 3x

3x = 5-8

3x = -3 Isolating x

x = -3/3= -1

Answer: y= -2 and x=-1

x = -1 and y = -2.

Step-by-step explanation:

As per the question, Ahmod given the two equation which should solve by elimination method. Okay, let us use the method.

Let,

\({ \red{ \sf{ - 3x - 3y = 9}}} \: { \to} \: { \tt{ {eq}^{n} (1)}}\)

\({ \red{ \sf{ \: \: \: 3x - 4y = 5}}} \: { \to} \: { \tt{ {eq}^{n} (2)}}\)

____________________

\({ \red{ \sf{ \: \: \: \: \: \: \: \: - 7y = 14}}}\)

\({ \red{ \sf{ \: \: \: \: \: \: \: \: \: \: \: y = - \frac{14}{7}}}}\)

\({ \red{ { \sf{ \: \: \: \: \: \: \: \: \: \: \:y = - 2}}}}\)

Substitute the value of y in Eqⁿ (1)

\({ \green{ \sf{ - 3x - 3( - 2) = 9}}}\)

\({ \green{ \sf{ - 3x + 6 = 9}}}\)

\({ \green{ \sf{ - 3x = 9 - 6}}}\)

\({ \green{ \sf{ - 3x = 3}}}\)

\({ \green{ \sf{x = - \frac{3}{3}}}} \)

\({ \blue{ \boxed{ \sf{x = - 1}}}}\)

Answer:

386.0285

Step-by-step explanation:

Answer:

$405.33

Step-by-step explanation:

I assume you are looking for the final sale price including the markup and tax.

original cost: $269.95

To add the markup of 43%, we multiply the cost by 1.43. To add the tax of 5%, we multiply by 1.05.

final sale price = 1.05 × 1.43 × $269.95

final sale price = $405.33

Answer:

20 Times larger

Step-by-step explanation:

8 * 10^3 = 8000

4 * 10^2 = 400

8000/400 = 20

The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.

What is an expression?

A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Given expression is

2 (x+6)

Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.

The mathematical representation is a(b+c) = ab + ac.

Apply the Distributive property in the given expression:

(2×x) + (2×6)

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Answer:

\(\frac{dy}{dx}\) = \(\frac{15}{4}\) u

Step-by-step explanation:

\(\frac{dy}{dx}\) = \(\frac{dy}{du}\) × \(\frac{du}{dx}\)

differentiate using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\) , and \(\frac{d}{dx}\) (constant) = 0

given

x = 2u² + 1

\(\frac{dx}{du}\) = 4u , then

\(\frac{du}{dx}\) = \(\frac{1}{4u}\)

y = 5u³ + 1

\(\frac{dy}{du}\) = 15u²

then

\(\frac{dy}{dx}\) = 15u² × \(\frac{1}{4u}\) = \(\frac{15}{4}\) u

Step-by-step explanation:

1. use PEMDAS (Parentheses, Exponent, Multiplication & Division, Addition & Subtraction). you would do 3/4 divided by 3/8 first.

  3/4 / 3/8 = 2  

2. add 2 to -2 1/2 (or if it's easier to understand, do 2 minus 2 1/2)

  -2 1/2 + 2 = -1/2     OR       2- 2 1/2 = -1/2

answer is -1/2

Answer:

(fog)(x) =x –14

(gof)(x) =x

Step-by-step explanation:

\((fog)(x) = f(g(x)) \\ = 8( \frac{x - 7}{8} ) - 7 \\ = x - 7 - 7 \\ = x - 14\)

\((gof)(x) = g(f(x)) \\ = \frac{(8x - 7) + 7}{8} \\ \\ = \frac{8x}{8} \\ \\ = x\)

To find the slope for a line that connects the given points, use the following formula:

where (x1,y1) and (x2,y2) are the given points.

Use:

(x1,y1) = (-1,1)

(x2,y2) = (3,3)

replace the values of the previous parameters in the formula for m:

Hence, the slope is 1/2

By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

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Answer:

56 ---> m< DAB

4 ---> length of line BC

44 ---> value of y

2 ---> value of x

Step-by-step explanation: edmentum test answer

The length of BC is 4 units, the value of y is 44, a measure of the angle DAB is 56 degrees, and the value of x is 2.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Parallelogram ABCD

From the figure:

6 - x = x + 2

2x = 4

x = 2

Length of BC = 6 - x = 6 - 2 = 4 units

12 + y = 100 - y

y = 44

Angle DAB = 100 - 44 = 56 degrees

The value of x = 2

Thus, the length of BC is 4 units, the value of y is 44, a measure of the angle DAB is 56 degrees, and the value of x is 2.

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The number of acres pollinated by the bees in 18 beehives is 48 acres.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The variables for this problem are given as follows:

x: number of beehives.

y: number of acres.

From the table, the constant is obtained as follows:

3k = 8

k = 8/3

Hence the equation is of:

y = 8x/3.

The number of acres that will be pollinated by 18 beehives is then given as follows:

y = 8(18)/3

y = 48 acres.

Therefore, the number of acres pollinated by the bees in 18 beehives is 48 acres.

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Answer:

Step-by-step explanation:Le quedo +10$

Ya que

-65 y le regalaron +10

The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

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The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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