Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 3.

Answer:

[tex]1+2\sqrt{2}[/tex] seconds

Step-by-step explanation:

When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:

[tex]0=-5t^2+10t+35 \\\\-5(t^2-2t-7)=0[/tex]

Plugging this into the quadratic equation, you get:

[tex]t=\dfrac{2\pm\sqrt{4+28}}{2}= \\\\\dfrac{2\pm4\sqrt{2}}{2}= \\\\1\pm2\sqrt{2}[/tex]

Since the time must be positive, it takes the ball [tex]1+2\sqrt{2}[/tex] seconds to hit the ground, or around 3.828. Hope this helps!

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

The ratio of map is 1cm : 4km. So you have to multiply by 4 :

[tex]1cm = 4km \\ 3cm = 4km \times 3 \\ 3cm = 12km[/tex]

12km

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:D is the answer

Answer:

Find the area of the semi circle with Diameter of 4

2π

6.3

Step-by-step explanation:

The area formula for semicircle is (πr^2)/2.

r=2 because radius is half of diameter.

(π(2)^2)/2, 2 squared= 4 and half of it is 2. = 2π

2π would round to the nearest tenths is 6.3.

The area of the semi circle with Diameter of 4 is, 6.28 unit².

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

Diameter of semicircle = 4

Now,

Radius of semicircle (r) = 4/2

                                   = 2

We know that;

⇒ Area of semicircle = πr

Where, 'r' is radius of circle.

Hence, The area of the semi circle with radius 2 is,

⇒ Area of semicircle = πr²/2

⇒ Area of semicircle = 3.14 × 2² / 2

⇒ Area of semicircle = 6.28 unit²

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

Answer:

x >5

Step-by-step explanation:

4(x - 3) - 2(x - 1) >0

Distribute

4x -12 -2x +2 > 0

Combine like terms

2x -10 >0

Add 10 to each side

2x-10+10 > 10

2x>10

Divide each side by 2

2x/2 > 10/2

x >5

The answer is: [C]: " {x | x > 5} " .

__________________________________________

Explanation:

__________________________________________

Given: " 4(x − 3) − 2(x − 1) > 0 " ;

__________________________________________

Note the "distributive property of multiplication" :

__________________________________________

a(b+c) = ab + ac ;

a(b−c) = ab − ac ;

___________________________________________

So, given:

_________________________________________________

→ 4(x − 3) − 2(x − 1) > 0 ;

_________________________________________________

Let us simplify; and rewrite:

_________________________________________________

Start with:

______________________________________________________

→ -2 (x − 1) = (-2*x) − (-2 *1) = -2x − (-2) = -2x + 2 ;

______________________________________________________

Now, continue with:

→ 4(x − 3) = (4*x) − (4*3) = 4x − 12 ;

______________________________________________________

So, given the original problem:

______________________________________________________

→ 4(x − 3) − 2(x − 1) > 0 ;

______________________________________________________

Rewrite;

Replacing: "4(x − 3)" ; with: "4x − 12" ;

and replacing "− 2(x − 1)" ; with: " -2x + 2" ;

______________________________________________________

as follows: → " 4x − 12 − 2x + 2 " > 0 ;

______________________________________________________

On the "left-hand side", combine the "like terms", and simplify ;

______________________________________________________

+4x −2x = +2x ; −12 +2 = -10 ; and rewrite:

______________________________________________________

→ 2x − 10 > 0 ; Add "10" to EACH SIDE of the inequality;

______________________________________________________

→ 2x − 10 + 10 > 0 + 10 ;

______________________________________________________

to get: → 2x > 10 ;

______________________________________________________

→ Now, divide EACH SIDE of the inequality by "2";

to isolate "x" on one side of the inequality; & to "solve"/"simply" for "x" ;

_______________________________________________________

→ 2x / 2 > 10 / 2 ;

_______________________________________________________

→ x > 5 ; which is:

_______________________________________________________

→ Answer choice: [C]: " {x | x > 5} " .

_______________________________________________________

Answer: (x + 3)(x + 3)

Answer:

(x + 3) ^2

Step-by-step explanation:

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c  which is the distance from C to D

5.830951895 = CD

5.83 = CD

Answer:

C. 5.83

Step-by-step explanation:

This is the correct answer I took the exam

I assume that you meant circumference instead of circumstance as circumstance is not a math term.

Given that the circumference is 24,901, determine the diameter.

So, when we find the circumference of a circle. We multiply the diameter by pi (3.14).

However, if we want to find the diameter, we can reverse it by dividing by pi to get the diameter.

So, it would become:

D = C/pi

D = 24901/3.14

D = 7930.25

Thus, the diameter is 7,930.25 (insert units here).

Answer:

C= 2PiR

24901=2 x 22÷7 × R

44R÷7

24901 x 7=44R

174307=44R

R=174307÷44

R= Approx. 3962

D= 3962 x 2

D= 7924

Answer:

Applying the theorem of intersected chords inside a circle:

AR x RB = DR x RC

=> RB = DR x RC/AR = 3 x 5/2 = 7.5

=> Option B is correct

Hope this helps!

:)

Answer:

0.17 per ounce

Step-by-step explanation:

To find the price per ounce, divide the price by the number of ounces.

price/ number of ounces

A 2 pound bag costs $5.44. We need to find out how many ounces are in 2 pounds.

Each pound has 16 punches. Therefore, 2 pounds will have 32 ounces (16 ounces * 2 pounds=32 ounces).

Now we can find the price per ounce by dividing the price by the number of ounces.

price/ounces

We know the bag is 2 pounds, which is equal to 32 ounces. We also know the bag costs $5.44

price= $5.44

ounces= 32 ounces

$5.44/ 32 ounces

$0.17 / ounces

The asparagus costs 0.17 per ounce.

Answer:

Solve the equation for  x  by finding  a ,  b , and  c

of the quadratic then applying the quadratic formula.

x = − 2  Double roots

Answer:

This is a numerical expression or D.

Step-by-step explanation:

It is not algebraic because it doesn't include unknown variables such as x or y

and it is not a numerical equation because equations have equal signs in them such as 5 + 6 = 11

Answer:

it is a numerical expression

Step-by-step explanation:

it is not an algebraic equation because there are no variables say, p or q or any other variables attached or unattached to its coefficients. And no equal sign attached to it.

it is not an algebraic expression.

it is not a numerical equation because it has no equal sign neither is it equating itself to another.

finally, it is a numerical expression because it only consists of numbers and has no equal sign. Or it is not equating to any other solution.

Answer:

75 feet wide and 105 feet long

Step-by-step explanation:

By using the ration provided in the question we can see that for every inch that the scale model has, it equates to 15 feet in the actual building. Therefore in order to find the actual size of the building we can multiply the values of the model by 15 like so...

Wide: 5 * 15 = 75 feet

Long: 7 * 15 = 105 feet

Therefore we can see that the building is 75 feet wide and 105 feet long

Answer:

all work pictured and shown

Answer: It means find the slope of each line.

Step-by-step explanation:

A is the line that runs from 0,-6 to 5,14 This is tricky because the scale of the y-axis is twice the value of the x-axis. So what looks like a slope (gradient) of +2 is actually +4. Figure the difference in y-values divided by the difference in x-values.

Same for line B.

I used 0 - 14 for the rise, and 4 -(-3) for the run. 7/-14 makes that slope a -2. That's negative two, not the apparent negative one!

Answer:

Points (-4,0) and (5,0) will lie on the x axis.

Step-by-step explanation:

To know if a point lies on the x axis, the y - value of a coordinate will always be zero. Here is the graph below:

Answer:

ΔABC ≅ ΔFED

Explanation:

Look at the alignment and position of the letters.

A = F

B = E

C = D

Properly align the letters in order to their corresponding position.

ΔA ≅ ΔF

ΔAB ≅ ΔFE

ΔABC ≅ ΔFED

Answer:

87.50%

Step-by-step explanation:

The increase in weight between December was Bennett was given birth to and the following March is the difference between the weight now and prior weight i.e 15 pounds -8 pounds=7 pounds

The % increase in weight =the increase in weight/initial weight

the increase in weight is 7 pounds

the initial weight was 8 pounds

the % increase in weight=7/8=87.50%

The percentage increase in weight is 87.50%  rounded to two decimal places

Answer:

The missing number is 16.

Step-by-step explanation:

The ratio between x and y is 1:4. 4 times 4 is 16. Hope this helped! :)

Answer:

Here is your answer for everyone Hope this helps

Step-by-step explanation:

So the first answer would be 16 for the missing gap then for Some of the graph is shown the graph shows LINEAR Growth which i got it wrong because i suck at guessing lol! then the last gap which i got wrong again is 24!

where it says what is the value of y would be associated with x = 6

1. 16!

2. linear growth!

3. 24!

explanation

change the improper fraction to proper fraction that is 2×5+2=12/5

2/3x= 12/5. (multiply both sides by the LCM of the denominators)that is by 15

2/3x×15=12/5×15 =

10x=36(divide both sides by 10)

x=3.6

answer

x=3.6

penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis

Answer:

Any value greater than 5:

x > 5

Step-by-step explanation:

The average of two numbers 'a' and 'b' is given by the formula:

Average = (a + b)/2

If the average between x and its successor (that is, x+1) is greater than 5, we have that:

(x + (x+1)) / 2 > 5

x + x + 1 > 10

2x > 9

x > 4.5

The value of x is an integer number, so x can be any number greater than 5:

x > 5

Answer: Outside of the circle

Step-by-step explanation:

Because its bigger than the number

inside so it cant me a or b

so the answer is C because its outside of the points

Hope this helps :)

The answer is A

If you plot them on a graphing calculator you can see that the diameter is around 9ish. So point J is inside the circle.

Answer:

Hopeiit helped...

Please mark as brainliest...thanks!!!

Thanks!!!!!!!!!!!!

Step-by-step explanation:

Distance formula. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

The Distance Formula is a variant of the Pythagorean Theorem that you used back in geometry. Here's how we get from the one to the other:

Suppose you're given the two points (–2, 1) and (1, 5), and they want you to find out how far apart they are.

You can draw in the lines that form a right-angled triangle, using these points as two of the corners:

It's easy to find the lengths of the horizontal and vertical sides of the right triangle: just subtract the x-values and the y-values:

Then use the Pythagorean Theorem to find the length of the third side (which is the hypotenuse of the right triangle):

This format always holds true. Given two points, you can always plot them, draw the right triangle, and then find the length of the hypotenuse. The length of the hypotenuse is the distance between the two points. Since this format always works, it can be turned into a formula:

Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance d between these points is given by the formula:  d=√((x_2-x_1)²+(y_2-y_1)²)

Credits:

Distance formula | Analytic geometry (video) | Khan Academy

Purple Math

Answer:

a)c

Step-by-step explanation:

i dunno about b

35x – 13 x = x – 1

⇒ 22 x = x - 1

⇒ 22x - x = -1

⇒ 21x = -1

⇒ x = -1/21

Thus,the value of x is -1/21

Step-by-step explanation:

Combine like terms and get x by itself on one side of the equation.

[tex]35x - 13x = x - 1 \\ 22x - x = - 1 \\ 21x = - 1 \\ x = - \frac{1}{21} [/tex]

Answer:

[tex]x = - \frac{1}{21} [/tex]

Answer:

1c 2b

Step-by-step explanation:

Answer:

1c 2b

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

cos 45 = 5[tex]\sqrt{2}[/tex] / x

x = 5[tex]\sqrt{2}[/tex] / cos 45, cos 45 = [tex]\sqrt{2}[/tex] / 2

x = 10

Answer:

y- intercept --> Location on graph where input is zero

f(x) < 0         --> Intervals of the domain where the graph is below the x-axis

x- intercept --> Location on graph where output is zero

f(x) > 0         --> Intervals of the domain where the graph is above the x-axis

Step-by-step explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.