Please help quick this is due tomorrow and I forgot how to find x

Answer:

Step-by-step explanation:

Hi Mia,  are you aware that the last name Hamilton is a famous math person?  :)    anyway,  

The triangle in the picture is an isosceles triangle,  we know that b/c the angle of the one is 45° meaning the other side must also be a 45° angle.  So we know the two sides are the same length.

side n = 7 [tex]\sqrt{2}[/tex] / 2

then use Pythagoras to find m

[tex]c^{2}[/tex] = ( 7 [tex]\sqrt{2}[/tex] / 2)^2  + ( 7 [tex]\sqrt{2}[/tex] / 2)^2

[tex]c^{2}[/tex] = 49*2/4  + 49*2/4

[tex]c^{2}[/tex] = 49/2  + 49/2

[tex]c^{2}[/tex] = 98/2

[tex]c^{2}[/tex] = 49

c = 7

side m = 7   :)  nice, huh ?

a) Sin X = O/H

Sin 45 = [tex]7\sqrt{2}[/tex]/2/H

H= [tex]7\sqrt{2}[/tex]/2/ Sin 45

m= 7

b) cos X = A/H

   cos 45= A/7

A= cos45*7

n= 4.95

The selling price of the first washing machine is $300

The selling price of the second washing machine is $336

The first washing machine appear to have more savings in cost

The question is a percentage problem

The first is marked down by ​50%

= 50 percent

= 50 / 100

= 0.5

marked down factor = 1 - 0.5 = 0.5

selling price of the first machine = 600 * 0.5 = 300

Similarly the second selling washing machine has mark down of 30%

30% = 0.3

marked down factor = 1 - 0.3 = 0.7

selling price of the second washing machine at first mark down

= 600 * 0.7 = 420

second mark down

20% = 0.2

marked down factor = 1 - 0.2 = 0.8

selling price of the second washing machine at second mark down

= 420 * 0.8 = 336

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Answer:

113 people (112.5 if you don't round but you can't have half a person)

Step-by-step explanation:

45 men plus the number of women (x) is how many people there are

so you would do 3/x=2/45 since x is the number of women

do some basic algebra, and you get 67.5 women so round if you want to to 68 (i will round because you can't have half a person)

68+45=113 people

Equation of the line which passes through the given points (-p ,-q) and

(p, q) where p ≠ q ≠ 0 is given by y = (q/p)x.

As given in the question,

Given condition is :

p ≠ q ≠ 0

Equation of the line which passes through the given points (-p ,-q) and

(p, q) is given by:

(x₁ , y₁) = (-p ,-q)

(x₂ , y₂) = (p, q)

(y -y₁)/ (x -x₁) = (y₂ -y₁)/ (x₂ -x₁)

⇒(y +q)/(x+ p) = (q +q)/(p +p)

⇒(y +q)/ (x +p) = 2q /2p

⇒p(y+ q) =q( x +p)

⇒yp + pq = qx +pq

⇒yp = xq

⇒y = (q /p)x

Therefore, equation of the line which passes through the given points (-p ,-q) and (p, q) where p ≠ q ≠ 0 is given by y = (q/p)x.

The complete question is :

Given p ≠ q ≠ 0, what is the equation of the line that passes through the points (–p, –q) and (p, q)?

A. y = –x

B. y = q/px

C. y = q

D. y = 2x + (2p – q)

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Answer:

b

Step-by-step explanation:

just did it

Answer:

(f+g)(x) = x - 7

Step-by-step explanation:

(f+g)(x) tells you to add the functions together. It means

f(x) + g(x)

= -3x - 5 + 4x - 2

combine like terms.

= 4x-3x - 5 - 2

= x - 5 - 2

simplify.

= x - 7

(f+g)(x) means

f(x) + g(x)

= x - 7

The equation 2.5x + 2y = 225 represents the total cost and 2.5x  represents the cost of dried fruit when its quantity is x.

A health food business prepares trail mixes out of dried fruit and nuts. The dried fruit costs $2.50 per pound, while the nuts cost $2.00 per pound. The overall cost of making the trail mix is $225.

Let the quantity of the dried fruit is x,

And the quantity of nuts is y,

As per the given question, the equation would be as:

2.5x + 2y = 225

The above equation represents the total cost and 2.5x  represents the cost of dried fruit when its quantity is x.

Thus, 2.5x  represents the cost of dried fruit when its quantity is x.

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From the figure, the lines parallel to AE are DH, CG, and EF.

Geometry is heavily reliant on parallel and perpendicular lines, and they can be easily distinguished thanks to a few unique qualities. If two lines never cross each other, are in the same plane, and are at the same distance from one another, then they are said to be parallel. Perpendicular lines are those that cross at an angle of 90 degrees.

If two straight lines are in the same plane and never intersect, they are said to be parallel lines.

So from the figure, we can see that the lines parallel to AE are DH, CG, and EF, as the lines are in the same plane.

As equidistant lines, they are always the same distance apart.

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The graph of the coordinate points of the vertices of ABCD indicates;

Part A The perimeter of ABCD ia approximately 61.2 units

Part B. The area of ABCD is 199.5 square units

The perimeter of a figure is length of the line that goes round the figure.

A. The perimeter of the polygon is the sum of the length of the sides of the polygon, which is found as follows;

AB = √((21-11)²+(11-(-1))²) ≈ 15.6

BC = √((21-26)²+(11-(-1))²) = 13

CD = √((26-2)²+(-1-(-8))²) = 25

AD = √((2-5)²+(-8-(-1))²) ≈ 7.6

The perimeter of the polygon = 15.6 + 13 + 25 + 7.6 = 61.2

B. Plotting the figure indicates that the figure consists of two triangles, ΔABC and ΔACD

The base length of triangle ΔABC = 26 - 5 = 21

The height of triangle ΔABC = 11 - (-1) = 12

The area of triangle ΔABC = 0.5 × 21 × 12 = 126

Base length of triangle ΔADC = 21

Height of triangle ΔADC = -1 - (-8) = 7

Area of triangle ΔADC = 0.5 × 21 × 7 = 73.5

Area of the composite figure is therefore;

A = 126 + 73.5 = 199.5

The area of the figure is therefore; 199.5 square units

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All the improper fractions in mixed or whole numbers are as follows:

So, the given improper fractions in the mixed or whole numbers are:

Therefore, all the improper fractions in mixed or whole numbers are as follows:

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The sample size necessary for a 90% confidence interval about the mean height of a shrub with a margin of error of 0.5 inches and a population standard deviation of 1.3 inches is 18.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error = 0.5 inches

z = found by using a z-score table

SD = sample standard deviation = 1.3 inches

n = sample size

At 90% confidence interval, the area in each tail of the standard normal curve is 5, and the cumulative area up to the second tail is 95.

(100 - 90) / 2 = 5

100 - 5 = 95

Find 0.95 in the z-table to get the value of z.

At p = 0.95, z = 1.647

Plug in the values to the formula and solve for the sample size, n.

MOE = z x (SD / √n)

0.5 = 1.647 x (1.3 / √n)

√n = 1.647(1.3) / 0.5

n = 18.34

n = 18

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The inequality that can be used to determine d, the maximum number of days Malik can afford to rent for while staying within his budget is 26.03d + 0.13m ≤ 350.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

In this case, the rental car company charges $26.03 per day to rent a car and $0.13 for every mile driven

Let the number of days be d.

Let the number of miles be m.

The appropriate inequality to illustrate this is 26.03d + 0.13m ≤ 350.

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The area of the triangle HKP found by the Heron's Formula is 136.23 sq. ft.

The three sides of the triangle are-

h = 24 ft, k = 21 ft, and p = 13 ft.

s = ( 24 + 21 + 13 ) / 2

s = 29

s - a = 29 - 24 = 5

s - b = 29 - 21 = 8

s - c = 29 - 13 = 16

Put in the formula,

Area = √s(s−a)(s−b)(s−c)

A = √ 29 x 5 x 8 x 16

A = 136.23

Thus, the area of the triangle HKP found by the Heron's Formula is 136.23 sq. ft.

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The slope of the line perpendicular to the line 2x - 12y = 120 will be -6.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following equation -

2x - 12y = - 120

Rearranging the equation, we get -

2x - 12y = 120

12y = 2x - 120

6y = x - 60

y = (1/6)x - 10

The slope of the line perpendicular to the line 2x - 12y = 120 will be -

m[2] = -1 / (1/6) = - 6

m[2] = - 6

Therefore, the slope of the line perpendicular to the line 2x - 12y = 120 will be -6.

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Answer:

[tex] - 8(9 - ( - 33 - 15) \div 12[/tex]

[tex] - 8(9 - ( - 48) \div 12[/tex]

[tex] - 8(9 + 4)[/tex]

[tex] - 8(13)[/tex]

[tex] - 104[/tex]

Answer:

-104

Step-by-step explanation:

Divide 108 by 12

Calculate -3 × 11 - 15 which is 48

Remove the parentheses

Divide 48 by 12 which is 4

9 + 4 is 13

-8 × 13 = -104

The answer is not a linear function, and the evaluation of the partial derivatives was done to a point. Thus, options (a) and (c) are correct. The correct equation for the tangent plane is  z = 3x - 108y - z + 241 = 0.

In a given point (x₀, y, z₀) the equation of the tangent plane to a surface given by the function S = f(x, y)can be obtained by

z-z₀ = f ₓ (x₀, y₀, z₀) (x - x₀) + fᵧ (x₀, y₀, z₀) (y - y₀) ... (i)

where  f ₓ (x₀, y₀, z₀) and fᵧ (x₀, y₀, z₀) (y - y₀) are the partial derivatives of f(x, y) with respect to x and y respectively. These two derivatives are evaluated at the point (x₀, y₀, z₀) .

Thus, we need to find two missing inputs, the z₀ coordinate and the two partial derivatives, in our problem in order to use equation (i).

In the case of z₀, evaluation of the given function gives us z = -80.

The partial derivatives are thus-

δf(x,y) / δx = fₓ (x, y) = 3x²

fₓ (x₀, y₀) = fₓ (1, 3) = 3

δf(x,y)/δxy= fᵧ (x, y) = -4y³

fᵧ (x₀, y₀) = fᵧ (1, 3) = -108

Now, arranging these values in equation (i) we obtain:

z-z₀ = f ₓ (x₀, y₀, z₀) (x - x₀) + fᵧ (x₀, y₀, z₀) (y - y₀)

z +80 = 3x² (x -1) - 4y³ (y - 3)

z = -80 +3x² (x -1) - 4y³ (y - 3)

Now, we will substitute the values of the partial derivatives at the given point:

z = -80 + 3x² (x -1) - 4y³ (y - 3)

z = 3x² (x -1) - 108 (y - 3)

z = 241 + 3x -108y

i.e., 3x - 108y - z + 241

Thus, the correct equation is 3x - 108y - z + 241.

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The complete question is-

A student was asked to find the equation of the tangent plane to the surface z = x³−y⁴ at the point (x, y) = (1, 3). The student's answer was z = −80 + 3x²(x−1)−(4y³)(y−3).

(a) At a glance, how do you know this is wrong? What mistakes did the student make? Select all that apply. A. The (x - 1) and (y - 3) should be x and y. B. The -80 should not be in the answer. C. The partial derivatives were not evaluated at this point. D. The correct answer is not a linear function. E. All of the above.

(b) What is the correct equation for the tangent plane? z=

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The width of pool deck is 7 ft and new dimensions of pool and deck are 21 ft and 35 ft .

In the given question we have,

Area of whole background ( pool + deck) = 1176 ft²------(1)

Area is a two dimensions quantity . so, we work here in 2-D.

length of pool = 28 ft , width of pool= 14 ft

let the width of deck be x ft . Now, the new dimensions are following

length of pool and deck = 28 + x + x = (28+2x ) ft

width of pool and deck = 14 + x + x = (14+ 2x) ft

here, 2x include in lenth and width for surronding deck.

total area of pool and deck ( backyard ) = lenth × width = 1176 ft² ( from (1) )

(28+2x) ( 14+2x) = 1176 ----(2)

Now, we shall solve above equation (2) and find out value of x

28×14 + 56x + 28x + 4x^2 = 1176

=> 4x²+ 84x + 392 - 1176 = 0

=> 4x² + 84x - 784=0 => x² + 21x - 196 = 0

=> x²+ 28x - 7x - 196 = 0 => x(x+ 28) - 7(x+28)=0

=> (x+28) (x-7) = 0

either x + 28= 0 or x - 7 = 0 =>either x= -28 or x= 7

but width can't be negative value so, discard

x= -28.

Hence, the width of pool deck is 7 ft.

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Answer:

Zyndy is 14, Vyndel is 7.

Step-by-step explanation:

Let Zyndy's age be represented by 'z', and Vyndel's age be represented by 'v'.

Zyndy is twice the age of Vyndel, so z=2v

The sum of their age is twenty-one, so z+v=21

Sub the first equation above into the second to get:

2v+v=21

3v=21

v=7

Knowing v=7, we can say z=2(v)=14.

Joe, for the most part, tipped 20% of his bill, compared to 10% for Mike, which is particularly noteworthy. The actually difference between their invoices in dollars was approximately 10.

Let  be Mike's bill and   be Joe's bill.

(10/100) *m = 2

M = 20

(20/200 )*j = 2

J = 10

So the desired difference is

m-j = 20 – 10

= 10

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Answer: -3/8 or -0.375

Step-by-step explanation:

you have to get similar denominators to simplify

so times 1/4 by 2 to get 2/8

and then just do 2/8 - 5/8 and you get the answer

Answer:

0 + 0.30 + 0.08

Step-by-step explanation:

hope it helps :)

Answer:

4√3 (about 6.9) cm.

Step-by-step explanation:

In a 30°-60°-90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.

Here, the length of the longer leg is 4√3, or about 6.9, cm.

Jimmy will take 24 hours to do the given job alone.

What is the teamwork equation for problem solving?
Problems with teamwork are resolved using this technique. If the first person completes a task in 'A' units of time and a second person completes a task in 'B' units of time, they can complete a task in 'T' units of time together (total).
The teamwork equation can be applied, that is: (1/A) + (1/B) = (1/T)

Given, time taken by Britney to do the job individually = B = 12 hours
Also, time taken by Britney and Jimmy to do the job together = A = 8 hours
Let the time taken by Jimmy to do the job individually = A hours
Thus, using the equation established in the literature above and substituting the given values, we have:
(1/A) + (1/B) = (1/T) ⇒ (1/A) + (1/12) = 1/8 ⇒ 1/A = (1/8) - (1/12)
⇒ 1/A = (3/24) - (2/24) ⇒ 1/A = 1/24 ⇒ A = 24
Thus, Jimmy will take 24 hours to do the given job alone.

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The number of toy cars are in 1,000 boxes is 25000 and the place value of 25 increases by 4 places to the left.

It should be noted that place value is used to know the value of the numbers that are given in a data.

In this case, toy company puts 25 toy cars in each box, the number of toy cars that are in 1,000 boxes will be:

= 25 × 1000

= 25000

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The equation y = 3x +a / 2x - 5 can be expressed in terms of a and y as x = (a - 5y) / (2y-3)

Given equation y = 3x + a / 2x - 5

= y(2x - 5) = 3x + a

= 2xy - 5y = 3x + a

= 2xy - 3x = a - 5y

= x(2y-3) = a - 5y

Hence, x = (a - 5y) / (2y - 3)

First, we will move the denominator 2x-5 and multiply it by y giving us 2xy-5y. Next, we will move all the terms which contain only a and y to one side and the rest remaining to another side, giving us 2xy - 3x = a - 5y. Since we need to express the equation in terms of x we take it as common from left-hand side of the equation and the remaining part we move to the right-hand side as the denominator. Hence we get our equation in terms of a and y as x = (a - 5y) / (2y - 3).

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Answer:

1. 384 cm square

2. m

3. -3 and 4

4.   1

Answer:

1) B

2) B

3) C

4) A

Step-by-step explanation:

     [tex]\sf \boxed{\text{Area of cube = $6a^2$}}[/tex]

Here, a is the side of the cube.

     Area of cube = 6 * 8 * 8

                            = 384 square cm  

Option B

2) y = mx + c.

Here, m is the slope or gradient and c is the y-intercept.

Option B

3) y = -3x + 4

Compare with y =mx + c,

         where m is the gradient and c is the y-intercept.

m = -3 and  = 4

Option C

4)

[tex]\sf Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\[/tex]

         [tex]\sf =\dfrac{-3-[-2]}{2-3}\\\\=\dfrac{-3+2}{-1}\\\\=\dfrac{-1}{-1}\\\\=1[/tex]

Option A

Step-by-step explanation:

these intercepts are the points where the graph intersects with the coordinate axes (x and y).

the x-intercept is a point on the x-axis, meaning when y = 0.

the y-intercept is a point on the y-axis, meaning when x = 0.

so, the x-intercept here is 14 at the point (14, 0).

the y- intercept is 7 at the point (0, 7).

that means the object started falling from a height of 7 meters and hit the ground after 14 seconds.

the falling speed was then

7 meters / 14 seconds = 0.5 meters / second

what are we talking about ? an asteroid with very little gravity ?

Answer: 27

Step-by-step explanation:

Well we already know that n is 12 and d is 15

So based on what I see we do n + d which would equal 27.

Answer:plot the point (2,5)

Step-by-step explanation:

There are no values within the interval that satisfies the condition stated by Rolle's theorem.

In accordance to Rolle's theorem, a function existing within an closed interval [a, b] has at a least a value c within that interval such that the first derivative f'(c) is equal to the slope of the secant line that passes through the two interval limits. That is to say, Rolle's theorem is defined by the following formula:

f'(c) = [f(b) - f(a)] / (b - a), where a < c < b

Where:

First, evaluate the function f(x) at x = - 4:

x = - 4

f(- 4) = (- 4)³ - 4 · (- 4)² - 16 · (- 4) + 8

f(- 4) = - 64 - 64 + 64 + 8

f(- 4) = - 56

Second, evaluate the function f(x) at x = 4:

x = 4

f(4) = 4³ - 4 · 4² - 16 · 4 + 8

f(4) = 64 - 64 - 64 + 8

f(4) = - 56

Third, determine the first derivative of the function f(x) and evaluate it at x = c:

f(x) = x³ - 4 · x² - 16 · x + 8

f'(x) = 3 · x² - 8 · x - 16

x = c:

f'(c) = 3 · c² - 8 · c + 16

Fourth, find the roots of the quadratic function found in the previous step.

3 · c² - 8 · c + 16 = 0

In accordance with the quadratic formula, the roots of the expression are 4 / 3 + i 4√2 / 3 and 4 / 3 - i 4√2 / 3, which are not real numbers.

Fifth, determine whether Rolle's theorem are applicable on the roots found in the previous step.

Since the roots of the polynomial 3 · c² - 8 · c + 16 are not real numbers, there are no number within the interval that satisfies Rolle's theorem.

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