I need help in this question

Answer: x=10

Step-by-step explanation:

[tex]4(x+3)=x+42\\4x+12=x+42\\4x-x=42-12\\3x=30\\x=10[/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:

a you cant add if they are not the same denominator

Answer:

[tex]Answer: A[/tex]

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Hope it helps...

Have a great day!!

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:

The time it takes to make rag dolls for a mission in Africa.

The time taken.

The cost of an end year party.

Step-by-step explanation:

The dependent variable refers to the variable which is predicted or measured in an experiment , the value of the dependent variable relies on the variation in the independent or predictor variable.

The time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls ;

DEPENDENT VARIABLE = The time it takes to make rag dolls for a mission in AFRICA. This is because time taken will depend on the number of people working.

The distance travelled while walking and the time taken ;

DEPENDENT VARIABLE = THE time taken

The time taken will depend on distance traveled.

The cost of an end of year grade 9 party and the number of people attending ;

DEPENDENT VARIABLE = The cost of an end year party.

Cost of partybwill depend on the number of people attending.

(a+4) (a-4)

according to formula,

x square - y square : (x+y) (x-y)

(a+4) (a-4)

xy : a square - 4

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:

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:

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: The value of z is -1.75.

Step-by-step explanation:

Given: P(Z<z)=0.04

To find the value of z such that 0.04 of the area lies to the left of z.

We will use z-score table to get the value of z here.

IN z-score table, we have

For P(Z<-1.7507)=0.04

Hence, the value of z is -1.7507.

Its approximate value is -1.75

So the final answer is z=-1.75.

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:

-14y -154

Step-by-step explanation:

Multiply -14 and y = -14y

Multiply -14 and 11 = -154

Answer:

[tex]-14\left(y+11\right)[/tex]

[tex]=-14y+\left(-14\right)\cdot \:11[/tex]

[tex]=-14y-14\cdot \:1[/tex]

[tex]=-14y-154[/tex]

OAmalOHopeO

Answer:

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

Answer:

(-2, 3)

Step-by-step explanation:

Function given in the graph 'p' is increasing from x = -2 to x = ∞.

Another function 'q' represented by the equation is,

q(x) = -|x - 3| + 4

By using graphing utility, graph of the function will be as shown in the attachment.

Graph of the function 'q' will be increasing from x = -∞ to x = 3

Therefore, common domain in which both the function are increasing is (-2, 3)

Answer:

(-2, 3)

Step-by-step explanation:

PLATOO

Answer:

.54 (54%)

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:

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

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:

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:

452.39

Step-by-step explanation:

Hope this is right

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:

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

Step-by-step explanation:

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:

 a.  y^ -1 = e^x    +2

Step-by-step explanation:

y = ln (x-2)

Exchange x and y

x = ln (y-2)

Solve for y

Raise each side with a base of e

e^ x = e^(ln(y-2)

e^x = y-2

Add 2 to each side

e^x  +2 =y

Answer:

CDJ

Step-by-step explanation:

Answer:

Choice C. C,D,J

Step-by-step explanation:

Answer:

Both boxes are -20.25

Step-by-step explanation:

The y-value for the vertex is when you plug in the x-value of the vertex in. The vertex is at (2.5, -20.25). SInce the vertex is the lowest or highest point on a parabola, the range is y>=-20.25.

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:

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.