What is the value of x?

Answer:

(2x)(-y)

Step-by-step explanation:

Both are technically correct, but (2x)(-y) is more professional. You can also say 2x * -y.

Hope this helps!

Answer:

[tex]b)\ 61m[/tex]

Step-by-step explanation:

The given triangle is a right triangle. This means that one can use right-angle trigonometry to solve the triangle. The right angle trigonometric ratios are a set of ratios that relate the sides and angles of a triangle. These ratios are as follows,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Bear in mind, the names (opposite) and (adjacent) change depending on the angle of reference. However, the side (hypotenuse) refers to the side opposite the right angle, this side doesn't change depending on the reference angle.

In this problem, one is given the measure of an angle, and the measure of the hypotenuse, the problem asks one to solve for the side opposite the given angle measure. It would make the most logical sense to use the ratio of sine (sin) to do this.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(56)=\frac{h}{73}[/tex]

Inverse operations,

[tex]sin(56)=\frac{h}{73}[/tex]

[tex]73(sin(56))=h[/tex]

[tex]60.519\approx h[/tex]

Answer:

Step-by-step explanation:

The position function for this is given as

[tex]h(t)=-16t^2+48t+2.75[/tex] where h(t) is the height of the football at any time t. If the ball is caught at 5.25 feet, that h(t) value is 5.25 since we are looking for the time the ball was in the air from its initial 2.75 feet to 5.25 feet, when it was caught.

[tex]5.25=-16t^2+48t+2.75[/tex] and set this equal to 0:

[tex]-16t^2+48t-2.5=0[/tex] and factor.

When we factor we get

t = .05 and t = 2.95 in seconds.

That first time tell us how long it takes to go from the initial height of 2.75 to a point 2.5 feet higher, 5.25. To get get back down to the 5.25 foot height on the other side of the vertex, is 2.95 seconds. So the total time the ball was in the air was 3 seconds exactly.

Answer:

63cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the two triangles

Area of the rectangle = 6(3+14)

Area of the rectangle = 6 * 17

Area of the rectangle = 102cm²

Area of the smaller triangle = 1/2 * 3 * 6

Area of the smaller triangle = 18/2 = 9cm²

Area of the larger triangle = 1/2 * 6 * (17-7)

Area of the larger triangle = 1/2 * 6 * 10

Area of the larger triangle = 60/2 = 30cm²

Area of the shaded part = 102 - (9+30)

Area of the shaded part = 102 - 39

Area of the shaded part = 63cm²

Answer:

25/1363

0.0183

Step-by-step explanation:

This question includes division. When a number is "over" that number should be the numerator of the fraction and the other number should be the denominator. So, 25 over 1363 would look like [tex]\frac{25}{1363}[/tex] in fraction form. They have no common factors so it cannot be simplified further. However, if wanted, then you could divide the two numbers to get a decimal, 0.0183. But, this is rounded because the exact answer is not rational.

Answer:

452.39

Step-by-step explanation:

Hope this is right

Answer:

Since they are similar, 45/27=30/18=x/24. x=40

Answer:   14  2/3

This is the same as saying [tex]14\frac{2}{3}[/tex] which is the mixed number 14 and 2/3

whole part = 14

fractional part = 2/3

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

Explanation:

To find the volume of a prism, we multiply the base area by the height.

The base area is shown in green as 7  1/3 square units.

This multiplies with the height 2 to get

2*(7  1/3) = 2*(7 + 1/3) = 2*(7) + 2*(1/3) = 14 + 2/3 = 14   2/3

As alternative notation, you can write  14  2/3  as 14 & 2/3.

Or you could write [tex]14 \frac{2}{3}[/tex]. Keep in mind that this does not mean 14 times 2/3.

Answer:

bro the co ordinates are in the picture itself

Answer:

A'(-3,0) ; B'(0,0); C'(3,6) ; D'(-3,6)

Step-by-step explanation:

O(-6,-6)

A( -5 , -4)  = A( -6+1 , -6 + 2)

A'(-6+3 ,-6+6) = A'(-3,0)

B(-4,-4) = B(-6+2 , -6+2)

B'(-6+6,-6+6)= B'(0,0)

C(-3,-2) = C(-6+3, -6+4)

C'(-6+9 , -6+12) = C'(3,6)

D(-5 , -2) = D(-6+1 , -6 +4)

D'(-6+3, -6+12)=D'(-3,6)

Answer:

Fast car = 45.6

Slower car = 30.4

Step-by-step explanation:

Let the speed of the first car = x

Let the speed of the second car = y

Travelling towards each other.

x *1 + y*1  = 76 miles

x*5 - y*5 = 76 miles. This is kind of tricky. You have to understand that the first car that is 76 miles from the second car and makes up that 76 in 5 hours. The distance they both travel is subtracted out.

Divide by 5

x - y = 76/5

x - y = 15.2       The speeds differ by 15.2

x + y = 76

x - y  = 15.2

2x = 91.2

x = 45.6

y = 76 - 45.6 = 30.4

When the two vehicles speeds are multiplied by 5, the difference is 76 km

Please find attached herewith the solution of your question.

If you have any query, feel free to ask.

Answer:

.54 (54%)

Step-by-step explanation:

Answer: 45 and 25

Step-by-step explanation:

Given

Five years ago victor was twice as old as his daughter

Suppose the current age of victor and his daughter are x and y

For five years ago

[tex]\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)[/tex]

In 10 years sum of their ages is 90

[tex]\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)[/tex]

On solving (i) and (ii) we get

[tex]\Rightarrow x=25,y=45[/tex]

So, the current age of victor is 45 and his daughter is 25

Answer:

45 , 25

Step-by-step explanation:

Answer:

[tex]\sqrt{2\frac{7}{8} } =\\\sqrt{\frac{25}{8} } =\\\sqrt{\frac{25*2}{16} } =[/tex]

±5√2/4

Answer:

If u add the number it will show u te answer which is 7

Step-by-step explanation:

Answer:

The measurement for the length of the walls.

Step-by-step explanation:

Given

[tex]Cost = \$22[/tex] per gallon

[tex]Height = 9ft[/tex]

[tex]1\ gallon = 40ft^2[/tex]

See comment for complete question

Required

The additional information needed to solve the question

First, we need to calculate the area of the walls of the bedroom.

The height of the ceilings represents the length/width of the walls; so, we need the width of each side of the bedroom.

Since the width is not given, then we can conclude that the additional information needed is the length/width of the walls.

Answer:

x = 5

Step-by-step explanation:

4x + 17 = 12x - 23

23 + 17 = 12x - 4x

      40 = 8x

       8      8

       5  =  x

The value of x should be 5.

A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).

As, to from the square using the dimension of parallelogram the value of x should be 5

as the side of square is equal.

4x + 17 = 12x - 23

23 + 17 = 12x - 4x

40 = 8x

5  =  x

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Answer:

2nd option and 4th option, other functions don't apply, remember r(1) can't be 3 since the she designs 2 rings in the first hour.

Answered by GAUTHMATH

Answer:

Without thinking too hard, by adding the progression of number until we reach  >200 and counting what n value we have we can solve this question.

The rule of this progression is to + 4 every time.

2 + 6 + 10 + 14 + 18 + 22 + 26 + 30 + 34 + 38 + 42

This will give us 242, which is greater than 200. There are 11 numbers here, so the n value is 11.

Answer:

Hello,

Step-by-step explanation:

Using n terms, the arithmetic sequence will be:

2,6,10,14,...,?

=0*4+2,1*4+2,2*4+2,3*4+2,...,(n-1)*4+2

s=(0*4+2)+(1*4+2)+(2*4+2)+(3*4+2)+...+(n-1)*4+2 >200

(2+2+2+...+2)+4(0+1+2+...+(n-1)) > 200

2*n+4*(0+(n-1))*n/2 >200

2n+2(n²-n) > 200

2n² >200

n² > 100

n >10

the smallest value of n is 11.

11 th term is (11-1)*4+2=42

sequence={2,6,10,14,...,42} which sum is 2*11²=242

Area of circle =153.86ft²

Answer:

Solution given;

Radius[r]: 7ft

To find;

Area of circle;

Step-by-step explanation:

use formula:

Area of circle =πr²

Calculation:

Area of circle =πr²

substitute value

.Area of circle =3.14*7²=153.86ft²

Answer:

8 years

Salary: $95000

Step-by-step explanation:

Write an equation to model the salary and its raise per year. Add the base salary to the raise per year salary times (x). Where the parameter (x) represents the number of years spent in the company.

Company (1):

75000 + 2500x

Company (2):

55000 + 5000(x)

One is asked at which year will the salaries be the same. Equate the two expressions and solve for the variable (x):

75000 + 2500x = 55000 + 5000(x)

Inverse operations:

75000 + 2500x = 55000 + 5000x

20000 + 2500x = 5000x

20000 = 2500x

8 = x

Substitute (x) into any one of the experssions and simplify to solve the epxression,

55000 + 5000(x)

x = 8

= 55000 + 5000(8)

= 55000 + 40000

= 95000

Answer:

Parabolas have an axis of symmetry. If we assume that x=2 is that axis of symmetry, them that must mean the x values -2 and 6 should have the same y values, which they don't, thus an equation is not possible.

Answer:

160m

Step-by-step explanation:

Since the rectangles are similar and we have their proportion of coefficient, the larger rectangle is twice the smaller rectangle.

Furthermore, the ratio of two longer sides should equal the ratio of the two shorter sides.

Therefore, for our case, we multiply the smaller rectangle by 2.

Hence;

(80 × 2)m

= 160 m

NB:

The ratio of the areas of two similar shapes or figures is equivalent to the square of the corresponding sides.

Answer:

for 1 its a and for 2 its c...

Answer:

-3, 7, 17, 27, 37

Step-by-step explanation:

Essentially, you just put -3 for the first box, and add 10. Then you take that new number and put it in the next box.

AYou need soneolper...

Step-by-step explanation:

Op in the chgat

Answer: y =  ½x - 2

Step-by-step explanation:

Slope-intercept form: y = mx + b

y =  ½x + b

2 =  ½(8) + b

2 = 8/2 + b

2 = 4 + b

2 - 4 = b

b = -2

y =  ½x - 2

Answer:

The correct answer: 0.05404

Step-by-step explanation:

Given:

Binomial distribution = x

n = 10

and p = 0.09

solution:

P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10

So the probability is calculated by the Formula:

P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)

putting the given values in the formula

= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))

= 0.0540400

Thus, the correct answer: 0.05404

Answer:

Step-by-step explanation:

The function is modeled after

[tex]y=a(b)^x[/tex] where a is the initial amount and b is the growth/decay factor. If we start with 5000 bacteria, then a = 5000. The decay factor is determined by the rate at which the bacteria decrease. We know that rate at which the bacteria decrease is 60% because 40% are left alive; therefore, b = .4:

[tex]f(x)=5000(.4)^x[/tex] with a horizontal asymptote of y = 0, the first choice.

The function that represents the number of live bacteria after x days of treatment can be written as f(x) = 5000(0.4)ˣ

A relation is a function if it has only One y-value for each x-value.

Given that 40% of the sample remains alive, which means that the number of live bacteria is decreasing exponentially over time.

The base of the exponential function is 0.4, as 40% can be written as 0.4. The initial population of bacteria is 5000, so we multiply the base by 5000 to get the total number of live bacteria after x days.

The graph of this function will have a horizontal asymptote of y = 0, since the number of live bacteria will approach zero as time goes on.

f(x) = 5000(0.4)ˣ is the function represents the number of live bacteria after x days of treatment

Hence, option A is correct, f(x) = 5000(0.4)ˣ with a horizontal asymptote of y = 0.

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