please help image attached!

Answer:

m‹1 = 125°

m‹2 = 55°

Step-by-step explanation:

Corresponding angles, a linear pair, and a vertical angle.

This applies because there is a transversal (because it forms angles between the two lines) which cuts between two parallel lines (indicated by the red mark).

Answer:

First option!

Step-by-step explanation:

The answer is :

3 * 10 + 4 * 1 + 5 * 0.1 + 7 * 0.01 + 6 * 0.001

The answer is the first option. We know this because when we multiply it all out and add it up we get 34.576.

Hope this helps, please mark brainliest if possible :)

Answer:

Sydney car can go 44.4 miles on gallon

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ8

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

For more such questions on probability

https://brainly.com/question/24756209

#SPJ8

Answer:

-8x

Step-by-step explanation:

Multiply what's in the parentheses.

Answer:

2*2*2*2*2*2=64

Step-by-step explanation:

please mark brainiest hope it works out for you

The minimum quantity that the factory must sell in order to obtain benefits is x is 3.

Assuming that the unit price and unit cost are known, in addition to the fixed costs, the following formulas are proposed to determine the minimum quantity number of units that the factory must sell in order to obtain benefits: Input, cost, total cost, benefit, and utility. This example illustrates these formulas.

Unities sold = x =?

Unitary selling price = \(S.(2x-2)\)

Unit cost is \(\frac{S}{(x+4)}\)

Fixed costs = \(\frac{S}{160}\)

Assumption: I(x) = p*x= x*

\((2x-2)\)

Total cost: C(x)=\(x*(x+4)+160\)

U(x) = \(x*(2x-2)-x*(x+4)+160\)

U(x) = \(2x^{2} -2x-x(4)+160\)

U(x)= \(x^{2} -6x+160\)

derived from and equal to zero:

U'(x)= \(2x-6=0\)

x = 3​.

Therefore, the minimum quantity that the factory must sell in order to obtain benefits is x is 3.

To learn more about minimum quantity  refer to:

brainly.com/question/24866444

#SPJ1

Answer:

Step-by-step explanation:

The compound interest formula is expressed as;

A = P(1+r/n)^nt

r is the rate

n is the time of compounding

t is the time in years

Given

P = 20,000

r = 6.5% = 0.065

t = 4

n = 1/12

Substitute

A = 20000(1+0.065(12))^40(1/12)

A = 2000(1+0.78)^3.33

A = 20000(1.78)^3.33

A = 20000(6.8218)

A = 136,435.88

Hence $he will have approximately  136,436 in his account after 40years compounded monthly

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

For more questions on Region .

https://brainly.com/question/31408275

#SPJ8

Answer:

11,765

Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes

Answer:

The zoo made $82762.50

Step-by-step explanation:

Children : 4.50 * 4012 = 18,054.00

Adults : 7.25 * 8024 =   53,174.00

Senior : 5.75 * 2006 =   11,534.50

Add these totals up = $82762.50

infants are free that's why there's no math for them.

hope this helps

Answer: the zoo made 87521.71

Step-by-step explanation:

infants are free

children :4.50x4,012=18054

adults: 7.25 x 8,024=57933.28

senior citizens: 5.75 x2006= 11534.50

add children ,adult,and serior citizens and get your answer

Answer:

two sides have the length of 7m

third side is 11m

Step-by-step explanation:

perimeter is the sum of all sides

let 'n' = length of congruent sides

let '2n - 3' = length of third side

25 = n + n + 2n - 3

25 = 4n - 3

28 = 4n

n = 7m

2(7) - 3 = 11m

Answer:

This question gives out some personal info. Please be more careful on the internet.

Step-by-step explanation:

its say your grade and what state you live in.

The time required for the baseball to reach the given height is 2 and 5/3 units respectively.

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

The equation for the height of baseball can be written as,

h(t) = -12t² + 44t + 6

It is a quadratic equation.

At h = 46 ft, the value of t can be found as,

Plug h(t) = 46 in  h(t) = -12t² + 44t + 6 as,

⇒ -12t² + 44t + 6 = 46

⇒ -12t² + 44t - 40 = 0

⇒ t = 2, 5/3

Hence, the time at which the height is 46 ft are given as 2 and 5/3 units respectively.

To know more about quadratic equation click on,

https://brainly.com/question/17177510

#SPJ1

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

The function \( \sf f(x) \) is defined as:

\( \sf f(x) = x^3 + \frac{3}{2}x^2 - 6x + 10 \)

To find the stationary points of \( \sf f \), we need to find the values of \( \sf x \) where the derivative of \( \sf f(x) \) is equal to zero.

First, let's find the derivative of \( \sf f(x) \):

\( \sf f'(x) = 3x^2 + 3x - 6 \)

To find the stationary points, we set \( \sf f'(x) = 0 \) and solve for \( \sf x \):

\( \sf 3x^2 + 3x - 6 = 0 \)

We can factor the quadratic equation as follows:

\( \sf 3(x^2 + x - 2) = 0 \)

Now, we solve for \( \sf x \) by factoring further:

\( \sf 3(x + 2)(x - 1) = 0 \)

This gives us two solutions: \( \sf x = -2 \) and \( \sf x = 1 \).

So, the stationary points of \( \sf f(x) \) are \( \sf x = -2 \) and \( \sf x = 1 \).

To determine the intervals where \( \sf f(x) \) is increasing, we need to analyze the sign of the derivative \( \sf f'(x) \) in different intervals. We can use the values of \( \sf x = -2 \), \( \sf 1 \), and any other value between them.

For \( \sf x < -2 \), we choose \( \sf x = -3 \) as a test point:

\( \sf f'(-3) = 3(-3)^2 + 3(-3) - 6 = 12 > 0 \)

For \( \sf -2 < x < 1 \), we choose \( \sf x = 0 \) as a test point:

\( \sf f'(0) = 3(0)^2 + 3(0) - 6 = -6 < 0 \)

For \( \sf x > 1 \), we choose \( \sf x = 2 \) as a test point:

\( \sf f'(2) = 3(2)^2 + 3(2) - 6 = 18 > 0 \)

From the above analysis, we can conclude that \( \sf f(x) \) is increasing in the intervals \( \sf (-\infty, -2) \) and \( \sf (1, \infty) \).

To find the inflection point of \( \sf f \), we need to determine where the concavity changes. This occurs when the second derivative of \( \sf f(x) \) changes sign.

The second derivative of \( \sf f(x) \) is:

\( \sf f''(x) = 6x + 3 \)

To find the inflection point, we set \( \sf f''(x) = 0 \) and solve for \( \sf x \):

\( \sf 6x + 3 = 0 \)

\( \sf 6x = -3 \)

\( \sf x = -\frac{1}{2} \)

Therefore, the inflection point of \( \sf f(x) \) is \( \sf x = -\frac{1}{2} \).

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

\(\dfrac 28 x + \dfrac 38 (x-1) = 4\\\\\implies \dfrac 18(2x + 3x -3) = 4\\\\\implies 5x -3 = 32\\\\\implies 5x = 32 +3 \\\\\implies 5x = 35\\\\\implies x = \dfrac{35}5\\\\\implies x = 7\)

Answer:

The value of x is 7.

Step-by-step explanation:

Question :

\({\implies{\sf{\dfrac{2}{8} x + \dfrac{3}{8}(x - 1) = 4}}}\)

Solution :

\({\implies{\sf{\dfrac{2}{8} x + \dfrac{3}{8}(x - 1) = 4}}}\)

\({\implies{\sf{\dfrac{2}{8} \times x + \dfrac{3}{8}(x - 1) = 4}}}\)

\({\implies{\sf{\dfrac{2 \times x}{8} + \dfrac{3(x - 1)}{8} = 4}}}\)

\({\implies{\sf{\dfrac{2x}{8} + \dfrac{3x - 3}{8} = 4}}}\)

\({\implies{\sf{\dfrac{2x + 3x - 3}{8} = 4}}}\)

\({\implies{\sf{\dfrac{5x - 3}{8} = 4}}}\)

\({\implies{\sf{{5x - 3} = 4 \times 8}}}\)

\({\implies{\sf{{5x - 3} =32}}}\)

\({\implies{\sf{5x = 32 + 3}}}\)

\({\implies{\sf{5x = 35}}}\)

\({\implies{\sf{x = 35 \div 5}}}\)

\({\implies{\sf{x = \dfrac{35}{5}}}}\)

\({\implies{\sf{x = \cancel{\dfrac{35}{5}}}}}\)

\({\implies{\sf{x = 7}}}\)

\(\star{\underline{\boxed{\sf{\pink{x = 7}}}}}\)

Hence, the value of x is 7.

\(\rule{300}{1.5}\)

Answer:

hi peps

Step-by-step explanation:

Answer:

associative! property! of! addition!

Step-by-step explanation:

we change the order of the addends but the sum doesn't change

Answer:

The answer is A) - The associate property of addition.

Step-by-step explanation:

The sum does not change even though we changed the order of the addends!

Answer:1.325

Step-by-step explanation:

Answer:

hello 2x8=16

2x9=18

2x7=14

2x6=12

Answer:

$356

Step-by-step explanation:

So if they are 400 students we need to:

0.89*400=$356

Answer:

$356

Step-by-step explanation:

Basically Multiply $0.89 x 400

Rounding to the nearest whole dollar, we get a predicted sales revenue of $290 for Saturday.

To calculate the 95% interval for the slope on "Cashiers", we need to use the t-distribution with n - k - 1 degrees of freedom, where n is the number of observations and k is the number of predictors (excluding the intercept).

In this case, n = 50 and k = 6, so the degrees of freedom is 43.

The standard error of the slope coefficient for "Cashiers" is given by SE = 4.049, and the t-statistic for a 95% confidence interval with 43 degrees of freedom is approximately 2.016.

Therefore, the margin of error for the slope coefficient is ME = 2.016 * 4.049 = 8.17.

To calculate the lower and upper bounds of the 95% confidence interval, we can use the formula:

lower bound = b1 - ME

upper bound = b1 + ME

where b1 is the coefficient for "Cashiers" from the regression output, which is 41.943.

Plugging in the values, we get:

lower bound = 41.943 - 8.17 = 33.77

upper bound = 41.943 + 8.17 = 50.11

Therefore, the 95% interval for the slope on "Cashiers" is (33.77, 50.11), rounded to two decimal places.

To predict sales for Saturday when the average temperature is 80 degrees, 8 cashiers are working, and $5250 worth of coupons are redeemed, we need to use the regression equation:

Y = b0 + b1 * X1 + b2 * X2 + b3 * X3 + b4 * X4 + b5 * X5 + b6 * X6 + e

where Y is the daily sales revenue, X1 is the average temperature,

X2 is the number of cashiers,

X3 is the total amount of coupons redeemed,

X4 is a binary variable for Sunday,

X5 is a binary variable for Tuesday,

X6 is a binary variable for Thursday, and e is the error term.

Plugging in the values, we get:

Y = -338.41 + 0.5487 * 80 + 41.943 * 8 + 0.07286 * 5250 + 0 + 0 - 139.15 + 0 + e

Y = 289.78 + e.

For similar question on revenue.

https://brainly.com/question/14810319

#SPJ11

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²