A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190. Approximately when will the projectile hit the ground? 1.5 seconds 3.2 seconds 5.3 seconds 6.2 seconds

Answer:

B: x>4

Step-by-step explanation:

You want to make an inequality first:

36+4x>52

4x + 36 − 36 > 52−36

4x > 16

4x ÷ 4 > 16 ÷ 4

x > 4

Answer:

5

Step-by-step explanation:

Using Pythagoras' identity

The horizontal distance between A and B is 3 units

The vertical distance between A and B is 4 units

Thus

AB = [tex]\sqrt{3^3+4^2}[/tex]

      = [tex]\sqrt{9+16}[/tex]

      = [tex]\sqrt{25}[/tex]

      = 5

Answer:

Option (3)

Step-by-step explanation:

To prove ΔULV ≅ ΔKLY,

                 Statements                    Reasons

1). VL ≅ LY                                1). Radii of a circle are equal

2). UL ≅ KL                              2). Radii of a circle are equal

3). ∠ULV ≅ ∠KLY                    3). Vertical angles are equal

4). ΔULV ≅ ΔKLY                    4). SAS property of congruence

Therefore, property (3) given in the options will be used to prove the triangles congruent.

I'll remember some concepts:

[tex]\log_{a}{b} = \log_{a}{c} \implies b=c\\\\\log_{a}{b}+ \log_{a}{c} = \log_{a}{b\cdot c}[/tex]

Question:

[tex]\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)}+\log_{6}({x+3)}\\\\\\\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)\cdot(x+3)}\\\\\\(x^2-5x) = (2x-9)\cdot(x+3)\\\\\\x^2-5x=2x^2+6x-9x-27\\\\\\0 = x^2+2x-27\\\\\\\Delta = 4+108 = 112\\\\\\\\\sqrt{\Delta} = \sqrt{112} = 4\sqrt{7}\\\\\\\\x = \dfrac{-2\pm 4\sqrt{7}}{2}\\\\\\\\x = -1 \pm 2\sqrt{7} \\\\\\\\x_1 = 2\sqrt{7} -1\\\\\\x_2 = -1-2\sqrt{7}[/tex]

The negative solution cant exist since we are talking about logarithms.

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 = 0

(x - 6)² = 0

x - 6 = 0

x = 6

Hope this helps! :)

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 = 0

Factor left side.

(x - 6)² = 0

Set factor equal to 0.

x - 6 = 0

x = 6

Answer:

Length of MN = 48 units

Step-by-step explanation:

AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).

Theorem says,

"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."

Therefore, MO ≅ ON

m(MO) = m(ON)

7x - 4 = 6x

7x - 6x = 4

x = 4

m(MN) = m(MO) + m(ON)

           = (7x - 4) + (6x)

           = 13x - 4

           = (13 × 4) - 4

           = 52 - 4

           = 48

Length of chord MN will be 48 units.

Answer:

336 feet²

Step-by-step explanation:

If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².

If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².

To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².

Hope this helped!

Answer:

Step-by-step explanation:

Probability is expressed as

Number of favorable outcomes/total number of possible outcomes

From the information given,

Total number of outcomes = 16

Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15

This means that the number of favorable outcomes is 5

Therefore, the probability that the card has a multiple of 3 on it is

5/16 = 0.3125

Answer:

C

Step-by-step explanation:

She earns $3,567 and spends $2,895.  That means that $2,895 is taken away from how much she earns each month.  Subtraction is the correct operation, cancelling out choices B and D

$3,567 - $2,895

Now, you need to figure out the answer to the above problem.  Choice C is your answer.

$3,567 - $2,895 = $672

Answer:

-36 + 27j

Step-by-step explanation:

−9(4 − 3j)

Distribute

-9 * 4  -9 * (-3j)

-36 + 27j

Answer:

27j - 36.

Step-by-step explanation:

−9(4 − 3j)

= -9 * 4 - 9 * (-3j)

= -36 + 27j

= 27j - 36

Hope this helps!

Answer:

its 4√2i i think

Step-by-step explanation:

Answer:

Answer:B

Step-by-step explanation:

Answer:

P(A|B) = 8/15

Step-by-step explanation:

Mathematically;

P(A|B) = P(A ∩ B)/P(B)

Thus we have

P(A|B) = 1/5 divided by 3/8

= 1/5 * 8/3 = 8/15

Answer:

Step-by-step explanation:

8•6= 48•5=240 divided by 3= 80

The volume of the rectangular pyramid is 80 cubic centimeter.

Volume is the measure of the capacity that an object holds.

[tex]v = \frac{lwh}{3}[/tex]

Where,

V is the volume of the  rectangular pyramid

l is the base length

w is the base width

h is the Pyramid height

According to the given question

We have

Base length of the rectangular pyramid = 8cm

Base width of the rectangular pyramid = 6cm

And the height of the rectangular pyramid  = 5cm

Therefore,

The volume of the rectangular pyramid is given by

V = [tex]\frac{(8)(6)(5)}{3}[/tex]

⇒ V = 8 × 2 × 5

⇒ V = 30 cubic centimeter

Hence, the volume of the rectangular pyramid is 80 cubic centimeter.

Learn more about the volume of rectangular pyramid here:

https://brainly.com/question/21334693

#SPJ2

Answer:  The total number of vehicles in the bar graph does not add up to 30.

The spacing between the bars should be equal.  

It would be helpful to put the number of each type at the top of its bar.

It may be useful to give the location and time/date of the observation in the title of the graph.

Step-by-step explanation:  The total 12 + 8 + 6 = 26.

My other observations would depend on the purpose of the graph. Many people use color to make the graph more visually appealing.

Answer:

208cats

Step-by-step explanation:

⅝=tongue

³/16=straw=39cats

⅝+³/16=13/16

meaning total number of cats is 16/16

If ³/16=39cats

16/16=?

39×16/3

=208cats

Answer:

Advance tickets=$25

Same-day tickets=$15

Step-by-step explanation:

Complete question below:

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?

Let

advance tickets=x

Same-day tickets=y

Combined cost of advance and same-day tickets=$40

It means,

x+y=40 Equ (1)

25 advance tickets and 30 same-day tickets=$1075

It means,

25x+30y=1075 Equ(2)

From (1)

x+y=40

x=40-y

Substitute x=40-y into (2)

25x+30y=1075

25(40-y)+30y=1075

1000-25y+30y=1075

5y=1075-1000

5y=75

Divide both sides by 5

5y/5=75/5

y=15

Recall,

x+y=40

x+15=40

x=40-15

=25

x=25

Advance tickets=$25

Same-day tickets=$15

Check

25x+30y=1075

25(25)+30(15)=1075

625+450=1075

1075=1075

Answer:

D. Cost

It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.

Step-by-step explanation:

Please mark brainliest I hope this helps.

Answer:

D the cost

Step-by-step explanation:

cause the costs always go on the y axis

Answer:

A. The side opposite the 60° angle has a length of √3/2

C.Sin(60°)=√3/2

E.The other acute angle of the triangle is 30°

Step-by-step explanation:

The diagram has been attached to the answer

A. The side opposite the 60° angle has a length of

B. The side opposite the 60° angle has a length of .

C. sin(60°) =

D. sin(60°) =

E. The other acute angle of the triangle is 30°.

Answer

The side opposite the 60° angle has a length of the square root of 3/2

Opposite side of the 60° angle has a length of √3/2

sin(60°) = the square root of 3/2

Sin(60°)=√3/2

The other acute angle of the triangle is 30°

Proof:

Total angle in a triangle=180°

180°-60°-90°

=30°

Answer:

A, D, E

Step-by-step explanation:

I do is big smart

Answer:

none

Step-by-step explanation:

the man is carrying 3 sacks

each has 30 coconuts

so at total he has 90 coconuts:  30*3= 90  

he passe through 30 checkpoints

ha has to give 1 coconut for each sack

so he gives 3 coconuts each time: 3*1=3

there are 30 ckeckpoints so : 3*30= 90

he has spent all the coconuts unless he has a trick

He starts with 3 sacks with 30 in each sack.

He has to give 1 coconut per sack away. So at first he gives 3 coconuts away.

The first 10 checkpoints he gives away 30 coconuts, so he is left with 2 sacks.

Now he has to give 2 coconuts away. 30/2 = 15, so the next 15 checkpoints he ends up giving away another full sack, so he is left with 1 full sack of 30 coconuts and he has 5 checkpoints left.

Giving away 1 coconut at those checkpoints, he would have 25 left

Answer:

A

Step-by-step explanation:

We can calculate this using circle theorems

The correct circle theorem to use here is that angle at center is 2 times angle at circumference

The angle we want to calculate here is the angle at circumference but we were given the angle at the center

So the value of the angle at the circumference would be 108/2 = 54

Answer:

He has ran 15 miles and passed the bank 12 miles from his location where he is at.

Step-by-step explanation:

WHY WAS HE ROBBING A BANK?????????

Answer:

Step-by-step explanation:

His distance from the bank can be modeled using an equation in the form y=mx+b. Since he has already ran 3 miles, the "b" is equal to 3, and can be added to how many miles he runs on from now on. If he can run 5 miles per hour, then that means every hour, he will run 5 miles. We can represent how many hours have passed as x. This would make our equation y=5x+3.

After 3 hours he has gone 5(3)+3 miles, or 18 miles

━━━━━━━☆☆━━━━━━━

▹ Answer

b. [tex]\frac{5}{8}[/tex]

▹ Step-by-Step Explanation

[tex]\frac{1}{16} + \frac{9}{16} = \frac{10}{16} \\\\= divide each side by 2\\\\\frac{10}{16} = \frac{5}{8}[/tex]

- Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

10/16 but I’m pretty sure your teacher is gonna want for you to reduce to where you answer would actually be 5/8

Step-by-step explanation:

1/16 +9/16 you’ll add the top number which equals up to 10, but since both of your bottom number are the same you lol keep those making your answer 10/16. But most teacher prefer you to reduce so it’ll bring your answer to 5/8 since the only number that can go into both 10 and 16 is 2 which is what you did. In conclusion 5/8 is your answer.

Answer:

all real values of x

Step-by-step explanation:

The domain of g is the values that x can take

There are no restrictions on the values that x can take

Answer:

[tex]\boxed{\mathrm{E}}[/tex]

Step-by-step explanation:

[tex]g(x)=5-2x[/tex]

The domain of a function is the set of all possible inputs for the function.

The value of [tex]x[/tex] can be all real numbers,

There are no restrictions on the value of [tex]x[/tex].

Answer:

5.8 * 10^26 kg

Step-by-step explanation:

If the mass of the earth is 1/95 of that if saturn, this means that the mass of saturn is 95 times that of earth

From the question we were given the mass of the earth as 5.97 * 10^24

The mass of saturn is thus 95 * 5.97 * 10^24 =

576.15 * 10^24

This is 5.8 * 10^26 kg

I would start by setting up a chart like I did below.

Label one column age now and the other age in 5 years.

Since we don't know the son's age we use x.

We do know that the man's age is 4 times the son's age.

So the man's age will be 4x.

In the age in 5 year column, we add 5 to their current ages.

Now set up our equation.

Since it says "in five years" we use information in second column.

In 5 years time, he, "4x + 5", will be, equals,

3 times as old as his son, "3(x + 5)".

So we have 4x + 5 = 3(x + 5).

Solving from here, we find that x = 10.

So the son is 10 and the man is 4 times his age or 40.

Answer:

[tex]314 \frac{2}{7} cm^{2} [/tex]

Step-by-step explanation:

Surface area of sphere= 4πr², where r is the radius of the sphere.

Given that the diameter is 10cm,

2(radius)= 10cm

radius= 10 ÷2

radius= 5cm

Surface area of sphere

[tex] = 4( \frac{22}{7} )( {5}^{2} ) \\ = 314 \frac{2}{7} cm^{2} [/tex]

Answer:

5 units in the positive y-axis

Step-by-step explanation:

In order to get triangle D’E’H’, triangle DEH was moved upwards for a number of units which can be obtained by taking a corner of the rectangle and counting the number of square spaces (grids) it was moved upwards by.

Step one: Pick a corner of the triangle.

For this, we can pick corner D and note its position on the graph

Step two: Count the number of squares between point D and D'.

Once we count this, we can see that there are 5 square spaces between D and D'.

Step Three: Repeat the process for the other two corners of the rectangle.

If the square spaces counted  are the same with what was obtained for the first corner, we can comfortably say that the rectangle was translated upwards by a distance of 5 units

Answer:

£54 and 168.75 mins

Step-by-step explanation:

Answer:

Statements 1,3 and 4 are correct

Step-by-step explanation:

We want to select the three correct statements as related to demand and supply.

Statement 1 is correct

An increased supply would lead to saturation of the market with the product for normal goods. The saturation of the market will surely make the price of the goods in the market decrease

Statement 2 is incorrect

A decrease in demand should drive down the prices of commodities for normal goods

Statement 3 is correct

A decrease in supply means there are less goods in the market. This makes consumers want to fight more to get their share in the market which thus forces up price of these goods

Statement 4 is correct

An increase in demand would make suppliers increase the price they place on their commodities.

→Answer:

3.2 liters of lemonade were consumed during the party.

→Step-by-step explanation:

What we know

_____________________________________

Well there is 2,500 mL of strawberry lemonade

There are  2 liters of cherry

There are 5 deciliters of dog limeade

_____________________________________

So the 5 deciliters of dog limeade doesn't count because it is limeade, not lemonade.

The question is asking for the number of liters so we need to convert the 2,500 milliliters of lemonade to liters.

Which will be 2.5 liters of lemonade.

There are also 2 liters of cherry lemonade so 2.5 + 2 is 4.5.

So if 1.3 liters were left over doing 4.5 - 1.3 we get 3.2, meaning 3.2 liters of lemonade were consumed during the party.