Divide 50 by 25 and find the remainder to complete the equation:
50 = 25 x ? + ?

Answer:

see below

Step-by-step explanation:

cos ( x+pi/2) = -sinx

We know that

cos(A + B) = cos A cos B - sin A sin B

Let x = A and pi/2 = B

cos x cos pi/2 - sin x sin pi/2 = -sin x

We know cos pi/2 = 0  and sin pi/2 = 1

cos x * 0 - sin x *1 = -sin x

- sin x = - sin x

Answer:

Option (B).

Step-by-step explanation:

From the figure attached,

There are two pieces of the function defined by the graph.

1). Curve with the domain (-∞, 2)

2). Straight line with domain (2, ∞)

1). Function that defines the curve for x < 2,

  f(x) = |4 - x²|

2). Linear function which defines the graph for x ≥ 2 [Points (2, 2), (4, 4), (6, 6) lying on the graph]

  f(x) = x

Therefore, Option (B) will be the answer.

Answer:

2.5 Yards

Step-by-step explanation:

Multiply 5/8 by 4

Answer:

a) 55 degrees

b) 350 ft.

Step-by-step explanation:

a- the sum of angles of triangle=180

( since it is right angle , one angle is 90 degrees), x be the acute angle

x+35+90=180

x=180-125

x=55 degrees

b) tan 35= height of a tree/ length of a shadow

height of a tree=tan35*500=350.103≅350 ft ( rounded to nearest tens)

c)  hypotenuse²=350.1²+500²

c=√350.1²+500²

c=610.385 ft

d) no because the distance is more than 500

Answer:

The critical value of F for this situation is 2.975.

Step-by-step explanation:

A test is being performed to determine if a particular drug, smartozine, affects maze learning in rats.

The groups are divided as follows:

So, there were in total k = 4 groups with n = 30 rats.

The significance level of the test is, α = 0.05.

Compute the critical value of F as follows:

[tex]F_{\alpha, (k-1, n-k)}=F_{0.05, (4-1, 30-4)}=F_{0.05, (3,26)}=2.975[/tex]

*Use the F-table.

Thus, the critical value of F for this situation is 2.975.

The critical value of F for this situation has been 2.975.

The F value has been the statistical factor that has been used for the determination of the significance of the test.

The high F value has been the representation of the rejected null hypothesis, while the low  F value represents the accepted hypothesis. The study that has been performed with the rats has:

Number of groups of rats = k = 4

Total number of rats = n = 30

The 0.05 significance test has been performed, thus the value of α has been 0.05.

The value of F can be given as:

Critical value = [tex]\rm F_\alpha_\;_,(_k_-_1,_n_-_k_)[/tex]

Substituting the values:

Critical value = [tex]\rm F_0._0_5,_(_4_-_1,_3_0_-_4_)[/tex]

Critical value = 2.975

Thus, the critical value of F for this situation has been 2.975.

For more information about the F value, refer to the link:

https://brainly.com/question/11566053

Answer:

x= 6 degrees

Step-by-step explanation:

x+x+54 = 90

2x+54 = 90

x= 90- 54 /2

x =6

Answer:

x = 6

Step-by-step explanation:

90 - 54 = 36

x + 5x = 6x

36 + 6x = 90

90 - 36 = 6x

36/6x = 6

x = 6

Answer:

C D E

Step-by-step explanation:

Edg

Out of the given options, options C, D and E are a difference of squares.

Difference of Squares, two terms that are squared and separated by a subtraction sign.

Given are, options,

D) (y squared minus x y)(y squared + x y) = (y²-xy)(y²+xy) = y⁴-(xy)²

E) (64 y squared + x squared)(negative x squared + 64 y squared) = (64y²+x²)(64y²-x²) = (64y)⁴-x⁴

C) (3 + x z)(negative 3 + x z) = (3+xz)(3-xz) = 3²-(xz)²

Hence, out of the given options, options C, D and E are a difference of squares.

For more references on difference of squares, click;

https://brainly.com/question/11801811

#SPJ6

Use the ^ symbol to indicate exponents. So for instance 4^2 = 4 squared.

A decrease of 19% means we have r = -0.19 and 1+r = 1+(-0.19) = 0.81 as the base of the exponent. A decrease of 19% means the population retains 81% each year.

Answer:

B

Step-by-step explanation:

The association property of multiplication states that if we have three numbers such as:

[tex]a\cdot b\cdot c[/tex]

Then the order of parentheses will not matter. In other words:

[tex](a\cdot b)\cdot c=a\cdot (b\cdot c)[/tex]

For instance:

[tex](3\cdot4)\cdot5=3\cdot(4\cdot5)[/tex]

For the choices, it must have at least three terms. Thus, eliminate A.

It must also have parentheses. Eliminate D.

Choice C represents the distributive property, where you distribute a factor into the expression.

Thus, the correct answer is choice B.

And as previously mentioned, the order of the parentheses does not make the product any different.

[tex]6*(9*1)=6*(9)=54\\(6*9)*1=(54)*1=54[/tex]

Answer:

The correct answer choice is B.

Step-by-step explanation:

The digits should still be in order, so A is incorrect. 6 * 91 does not even equal 69 * 1!

B shows that be can multiply 6 * 9 * 1 in any order. This means we can place a pair of parentheses around any of these numbers and the answer will still be the same.

C is incorrect. We want an equation that helps give us a better understanding of MULTIPLICATION, not ADDITION. The equation is also false.

Finally, D illustrates the commutative property of multiplication- you can multiply your numbers in any order and it will still have the same value. Put simply, it's incorrect.

Let me know if you need more elaboration!

[tex]|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%[/tex]

Answer:

13.44%

Step-by-step explanation:

For DG to have length of 1 or less, point G must be contained in a sector of a circle with center at point D, radius of 1, and a central angle of 60°.

The area of that sector is

[tex]A_s = \dfrac{n}{360^\circ}\pi r^2[/tex]

[tex]A_s = \dfrac{60^\circ}{360^\circ} \times 3.14159 \times 1^2[/tex]

[tex] A_s = 0.5254 [/tex]

The area of the triangle is

[tex] A_t = \dfrac{1}{2}ef \sin D [/tex]

[tex]A_t = \dfrac{1}{2}\times 3 \times 3 \sin 60^\circ[/tex]

[tex] A_t = 3.8971 [/tex]

The probability is the area of the sector divided by the area of the triangle.

[tex]p = \dfrac{A_s}{A_t} = \dfrac{0.5254}{3.8971} = 0.1344[/tex]

Answer:

[tex] SA = 24.73~cm^3 [/tex]

Step-by-step explanation:

[tex] SA = 2\pi r^2 + 2\pi r h [/tex]

r = d/2 = (1.5 cm)/2 = 0.75 cm

[tex] SA = 2(3.14)(0.75~cm)^2 + 2(3.14)(0.75~cm)(4.5~cm) [/tex]

[tex] SA = 24.73~cm^3 [/tex]

Answer:

24.7

Step-by-step explanation:

took this exam and got it right

Answer:

7000 (7 thousand)

700 (7 hundred)

20 (2 tens)

2 (2 units)

Step-by-step explanation:

what is the relationship between the values of the given digits?

1. The 7s in 7,700

2. The 2's in 522

From the knowledge of place values;

7,700 could be broken down thus :

7000 + 700 + 0 + 0

The first 7 depicts thousands as it has 3 trailing digits (7000)

The second 7 depicts hundred as it has 2 trailing digits (700)

522 could be broken down thus :

500 + 20 + 2

From 522

The first '2' has one trailing digit = tens

The ending / last digit ia always = Unit value

x = 21

y = 8

=========================================================

Explanation:

Since the y is giving you trouble, I recommend ignoring it for now. Luckily we don't need the y value at first.

Let's solve for x.

The two angles (10x-61) and (x+10) form a straight angle which is 180 degrees.

So,

(10x-61) + (x+10) = 180

10x-61 + x+10 = 180

11x - 51 = 180

11x-51+51 = 180+51 .... adding 51 to both sides

11x = 231

11x/11 = 231/11 .... dividing both sides by 11

x = 21

Since x = 21, the upper right angle (10x-61) is equal to

10x-61 = 10*21-61 = 210-61 = 149

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

We can now focus on the (18y+5) angle. This is set equal to 149 since vertical angles are congruent

18y+5 = 149

18y+5-5 = 149-5 ... subtracting 5 from both sides

18y = 144

18y/18 = 144/18 .... dividing both sides by 18

y = 8

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

Or we could add the angles (18y+5) and (x+10), set them equal to 180, and solve for y like that

(18y+5)+(x+10) = 180

18y+5 + x+10 = 180

18y+5+21+10 = 180 .... plug in x = 21

18y+36 = 180

18y+36-36 = 180-36 ... subtract 36 from both sides

18y = 144

18y/18 = 144/18 .... dividing both sides by 18

y = 8

We get the same result.

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

As a check, plugging y = 8 into 18y+5 should lead to 149

18y+5 = 18*8+5 = 144+5 = 149

This confirms the y value answer

Answer:

Any one of these three works:

plane MOU

plane MNU

plane NOU

Step-by-step explanation:

A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.

Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.

To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.

plane L can be named

plane MOU

plane MNU

plane NOU

Do not name it plane MNO

Answer:

x = 12.6 degrees

Step-by-step explanation:

Using the property of alternate interior angles, we can say that m<A is equivalent to m<E.

m<A = m<E

63 = 5x

12.6 = x

So, x = 12.6 degrees

Cheers.

Answer: The required ratio is PT:TR  = 1:2.

Step-by-step explanation:

Given: In triangle PQR, ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90 cm².

To find : PT:TR

.i.e. Ratio of PT to TR.

Here, PT:TR[tex]=\dfrac{PT}{TR}[/tex]

[tex]=\dfrac{4\ cm}{8\ cm}[/tex]

Divide numerator and denominator by 4 , we get

[tex]\dfrac{1}{2}[/tex]

Therefore, the required ratio is PT:TR  = 1:2.

Answer:

approaching negative infinity

Step-by-step explanation:

Since as x increases, the values of f(x) are approaching infinity, the function approaches negative infinity as the end behavior.

Answer:

Below.

Step-step-explanation:

As x increases from negative infinity f(x) decreases in value .

As x increases to positive infinity f(x) decreases in value.

For values of x  on the negative side  the graph rises  to the left and on the positive x -axis it falls to the right.

Answer:

y = 32,000(1.08)^x

Step-by-step explanation:

The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.

In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)

If we plug these into the equation, we get the equation y = 32,000(1.08)^x

So, y = 32,000(1.08)^x is the correct answer.

Answer:

A

Step-by-step explanation:

on edge 2020

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

f(x) = 4(x + 6)² + 5

The above expression can be written as: f(x) = ax² + bx + c, by doing the following:

1. Expand (x + 6)²

(x + 6)² = (x + 6)(x + 6)

(x + 6)(x + 6)

x(x + 6) + 6(x +6)

x² + 6x + 6x + 36

x² + 12x + 36

(x + 6)² = x² + 12x + 36

2. Substitute x² + 12x + 36 for (x + 6)² in

f(x) = 4(x + 6)² + 5

This is illustrated below:

f(x) = 4(x + 6)² + 5

(x + 6)² = x² + 12x + 36

f(x) = 4(x² + 12x + 36) + 5

Clear bracket

f(x) = 4x² + 48x + 144 + 5

f(x) = 4x² + 48x + 149

Therefore, the standard of the function:

f(x) = 4(x + 6)² + 5

is

f(x) = 4x² + 48x + 149

Answer:

a21 = -61

Step-by-step explanation:

[tex]a_{n}=a_{1}+(n-1)d[/tex]

[tex]-19=a_{1}+(7-1)d[/tex]

[tex]-28=a_{1}+(10-1)d[/tex] (subtract to eliminate a₁)

9 = -3d

d = -3

-19 = a₁ + (6)(-3)

-1 = a

a21 = -1 + (21 - 1)(-3)

= -61

Answer:

-61 (Answer D)

Step-by-step explanation:

The general formula for an arithmetic sequence with common difference d and first term a(1) is

a(n) = a(1) + d(n - 1)

Therefore, a(7) = -19 = a(1) + d(7 - 1), or a(7) = a(1) + d(6) = -19

and a(10) = a(1) + d(10 - 1) = -28, or a(1) + d(10 - 1) = -28

Solving the first equation a(1) + d(6) = -19 for a(1) yields a(1) = -19 - 6d.  We substitute this result for a(1) in the second equation:

-19 - 6d + 9d = -28.  Grouping like terms together, we get:

3d = -9, and so d = -3.

Going back to an earlier result:  a(1) = -19 - 6d.

Here, a(1) = -19 - 6(-3), or a(1) = -1.

Then the formula specifically for this case is a(n) = -1 - 3(n - 1)

and so a(21) = -1 - 3(20) = -61 (Answer D)

Answer:

Composition and vertical translation must be done in the parent function.

Step-by-step explanation:

Let be [tex]j(x)[/tex] the parent function, if [tex]g(x) = j(4\cdot x) -27[/tex], then two transformation must be done in the following order:

Composition

[tex]j \circ h (x) \rightarrow j(h(x))[/tex], where [tex]h(x) = 4\cdot x[/tex]

Vertical translation

[tex]g(x) = j(4\cdot x) -27[/tex]

Composition and vertical translation must be done in the parent function.

Answer: Option D

Horizontal compression by a factor of 1/4, and a translation 27 units down

Answer:

the answer is c.

Step-by-step explanation:

c is the only reasonable option.

The table represents a function because each input (x-value) corresponds to exactly one output (y-value)

If we had repeated x values, then that is a sign we don't have a function. So for instance, if we had the two points (1,5) and (1,6) then we don't have a function because the input x = 1 corresponds to outputs y = 5 and y = 6 simultaneously.

Note: the y values are allowed to repeat and we still have a function, but this function is not one-to-one because of the repeated value y = 2.

Answer:

No idea dude

Step-by-step explanation:

I just need points

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cost price of three machines with repairment charge ( CP ) = 5400 × 3 + 4000

= Rs 20200

Selling price of 1 machine = Rs 7000

Selling price of 3 machines ( S.P )= Rs 7000 × 3

= Rs 21000

Since , SP > CP , he made a profit

Profit = SP - CP

= Rs 21000 - Rs 20200

= Rs 800

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

Further more explanation

Profit and loss

In any business , owners have intension to have profit by selling articles. The price at which an article is purchased is called it's Cost price ( C.P ) and the price at which it is sold is called Selling price ( S.P ).

If the selling price is less than cost price of an article then there is a loss.

[tex] \mathrm{Loss \: = \: Cost \: Price \: (C.P) - Selling \: Price \: (S.P)}[/tex]

If the selling price is more than cost price of an article then there is a profit ( gain )

[tex] \mathrm{Profit = Selling \: Price \: (S.P) - Cost \: Price \: (C.P)}[/tex]

So, If S.P > C.P, there is profit in dealing.

If C.P > SP , there is loss in dealing.

Hope I helped!

Best regards!!

Answer:

[tex]W(t)=5(2^t)[/tex]

Step-by-step explanation:

Given that the Newly planted seedlings approximately double their weight every week and a seedling weighing 5 grams is planted at time t = 0 weeks. This represent an exponential function with an equation in the form:

[tex]W(t)=ab^t[/tex].

W(t) is the weight in t weeks, t is the weeks and a is the weight when t = 0. At t = 0, W = 5 g:

[tex]W(t)=ab^t\\W(0)=ab^0\\5=ab^0\\a=5[/tex]

Since the weight double every week, b = 2. The exponential function is given as:

[tex]W(t)=ab^t\\\\W(t)=5(2^t)[/tex]

Answer:

The systems of equation for the amount spent are as follows

[tex]Y= 0.99x+5[/tex]

[tex]Y= 0.79x+10[/tex]

Step-by-step explanation:

In this problem we are expect to give a model or an equation that represents the amount of money spent per month given a fix subscription amount and a variable fee which is based on extra minutes spent.

let Y represent the amount of money spent in total for the month

The first case:

Subscription =$5

charges per minutes = $0.99

therefore the amount spent can be modeled as

[tex]Y= 0.99x+5[/tex]

The second case:

Subscription =$10

charges per minutes = $0.79

therefore the amount spent can be modeled as

[tex]Y= 0.79x+10[/tex]

Answer: 104,805

Step-by-step explanation:

just add

Answer:

104,805

Step-by-step explanation:

add it in each placement form

Answer:

a. 1.25

b . 0.8

Step-by-step explanation:

This is a question in scale factors

a. The sable factor that takes P to Q

In P, we are having sides 4, 2 and 3

In Q, we are having sides 2.5 and 5

From the diagrams and using the similar sides, we can see that the side length 4 became 5 while the side length 2 became 2.5

So the scale factor would be;

4 * x = 5

or

2 * x = 2.5

Where x is that dilation factor that transformed 4 into 5

Thus, x would be 5/4 or 2.5/2 = 1.25

b. The scale factor that takes Q to P

This is the direct opposite of what we have in the first question.

Here, we want to go from Q to P

To get this, we simply divide what we have in P by what we had in Q

Hence, what we do here is;

2/2.5 or 4/5 = 0.8

Answer:

2(x-5)

Step-by-step explanation:

Answer:

the answer to your question is 5xa^2

or you can use symbolab calculator online