? Question
A slingshot launches a water balloon into the air. Function f models the height of the balloon, where x is the horizontal
distance in feet:
f(x) = -0.05x2 +0.8x + 4.
From what height did the slingshot launch the balloon, and what was the balloon's maximum height? How far from the
slingshot did the balloon land?
The balloon's maximum height was____
The slingshot
launched the balloon from a height of _____
The balloon landed_____

from the slingshot.

Answer:

There are 192 window panes in total.

Step-by-step explanation:

Since each window has four window panes across and four window panes down,the number of panes per window is:

[tex]w=4*4=4^2[/tex]

The total number of window panes in 'n' windows is:

[tex]P=n*4^2[/tex]

With n = 12 windows, the expression that describes the total number of window panes is:

[tex]P=12*4^2\\P=192\ panes[/tex]

There are 192 window panes in total.

Answer:

One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.

Step-by-step explanation:

One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.

Answer:  $122.50

Step-by-step explanation:

In          Out

8:00    12:00    = 4 hours

12:45    17:30   = 4.75 hours  

          Total        8.75 hours

8.75 hours x $14/hr = $122.50

Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:

 17:30       →         16:90

- 12:45                - 12:45

                            4: 45

4 hours 45 minutes = [tex]4\frac{3}{4}[/tex] = 4.75 hours

Answer:

x=6.28 inches

y=191.08 inches

Step-by-step explanation:

Let the dimensions of the rectangle be x and y

Area of the rectangular sheet

x*y=1200 in^2}

x = circumference of the cylinder

This means x=2πr

Volume of a cylinder=πr^2h

h=y

Volume of the cylind=πr^2(y)=600 in^3

From x=2πr

r=x/2π

Substitute r=x/2π into Volume=πr^2(y)=600 in^3

We have,

Volume of the cylinder=πr^2(y)=600 in^3

π*(x/2π)^2(y)=600

(x^2/4π)y=600

Recall, x*y=1200

y=1200/x

Substitute y=1200/x into (x^2/4π)y=600

(x^2/4π)y=600

(x^2/4π)(1200/x)=600

1200x/4π=600

Multiply both sides by 4π

(x^2/4π)(1200/x)(4π)=600*4π

1200x=2400π

Divide both sides by 1200

1200x/1200 = 2400π/1200

x=2π

Substitute x=2π into y=1200/x

We have,

y=1200/2π

y=600/π

The dimensions are x=2π and y=600/π

Let π=3.14

x=2π

=2(3.14)

=6.28 inches

y=600/π

=600/3.14

=191.08 inches

Greetings from Brasil...

In a linear function, the rate of change is given by M (see below).

M = rate of change

N = linear coefficient

The Function 2 has M = 4, cause

F(X) = 4X + 1

(M = 4 and N = 1)

For Function 1 we have a rate of change equal to zero, becaus it is a constant function... let's see:

M = ΔY/ΔX

M = (3 - 3)/(4 - 0)

M = 0/4 = 0

So, the Function 2 has 4 times more rate of change than the first

Your answer is two!!

Answer:

0

Step-by-step explanation:

The t-intercept here is what's khown as the x-intercept wich is given by C(t)=0

● C(t) = 2t^4-8t^3+6t^2

● 0 = 2t^4-8t^3+6t^2

Factor using t

● t(2t^3-8t^2+6t^1) = 0

Wich means that t=0

Answer:

[tex] \boxed{\sf x = -7} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: x: \\ \sf \implies - 30 = 5(x + 1) \\ \\ \sf - 30 =5(x+ 1) \: is \: equivalent \: to \: 5 (x + 1) = - 30: \\ \sf \implies 5(x + 1) = - 30 \\ \\ \sf Divide \: both \: sides \: of \: 5(x+ 1) = - 30 \: by \: 5: \\ \sf \implies \frac{5(x + 1)}{5} = - \frac{30}{5} \\ \\ \sf \frac{5}{5} = 1 : \\ \sf \implies x + 1 = - \frac{30}{5} \\ \\ \sf - \frac{30}{5} = - \frac{6 \times \cancel{5}}{ \cancel{5}} = - 6 : \\ \sf \implies x + 1 = - 6 \\ \\ \sf Subtract \: 1 \: from \: both \: sides: \\ \sf \implies x + (1 - 1) = - 6 - 1 \\ \\ \sf 1 - 1 = 0 : \\ \sf \implies x = - 6 - 1 \\ \\ \sf - 6 - 1 = - 7 : \\ \sf \implies x = - 7[/tex]

Answer:

[tex] \boxed{x = - 7}[/tex]

Step-by-step explanation:

[tex] \mathrm{ - 30 = 5(x + 1)}[/tex]

Distribute 5 through the parentheses

[tex] \mathrm{ - 30 = 5x + 5} [/tex]

Move constant to L.H.S and change its sign

[tex] \mathrm{ - 30 - 5 = 5x}[/tex]

Calculate

[tex] \mathrm{ - 35 = 5x}[/tex]

Swipe the sides of the equation

[tex] \mathrm{5x = - 35}[/tex]

Divide both sides of the equation by 5

[tex] \mathrm{ \frac{5x}{5} = \frac{ - 35}{5} }[/tex]

Calculate

[tex] \mathrm{x = - 7}[/tex]

Hope I helped!

Best regards!!

Answer:

The spread of the data in Set B is greater than the spread of the data in Set A.

Step-by-step explanation:

Just took the test :3

Answer:

55.563

Step-by-step explanation:

Given the following :

Mean(m) point = 73

Standard deviation( sd) = 10.6

Lower 5% will not get a passing grade (those below the 5% percentile)

For a normal distribution:

The z-score is given by:

z = (X - mean) / standard deviation

5% of the class = 5/100 = 0.05

From the z - table : 0.05 falls into - 1.645 which is equal to the z - score

Substituting this value into the z-score formula to obtain the score(x) which seperates the lower 5%(0.05) from the rest of the class

z = (x - m) / sd

-1.645 = (x - 73) / 10.6

-1 645 * 10.6 = x - 73

-17.437 = x - 73

-17.437 + 73 = x

55.563 = x

Therefore, the score which seperetes the lower 5% from the rest of the class is 55.563

Answer:

-3

Step-by-step explanation:

2x + 3 +7x = -24

Add the X together

9x +3 = -24

Bring over the +3. [when you bring over change the sign]

9x = -24 -3

9x = -27

-27 divide by 9 to find X

therefore answer is

x= -3.

Hope this helps

Answer:

x = -3

Step-by-step explanation:

question is

2x + 3 + 7x = -24

First you combine the like terms

2x and 7x you can add them so it will be 9x

so it will then it will be like this:

9x + 3 = -24

now you take the 3 and send it to the other side, and right now the 3 is positive so when it goes to the other side it will turn into -3

so

9x = -24 -3

again now you combine the like terms

-24 -3 = - 27

now you have

9x = -27

now just divide each side by 9

x = -27/9

x = -3

Sorry if this doesnt help

see attachment a=400 rpm b and c = 200 rpm d = 40 rpm

Answer:

pulley B 200, pulley C 200, pulley D 160

Answer:

j ≥ -44

Step-by-step explanation:

-2/11 j ≤ 8

Multiply each side by -11/2 to isolate j.  Flip the inequality since we are multiplying by a negative

-11/2 * -11/2 j ≥ 8 * -11/2

j ≥ -44

Answer:

[tex]j\geq -44[/tex]

Step-by-step explanation:

The inequality given is:

[tex]\frac{-2}{11}j\leq 8[/tex]

To solve the inequality, we must get the variable j by itself.

j is being multiplied by -2/11. To reverse this, we must multiply by the reciprocal of the fraction.

Flip the numerator (top number) and denominator (bottom number) to find the reciprocal.

[tex]\frac{-2}{11} --> \frac{-11}{2}[/tex]

Multiply both sides of the equation by -11/2.

[tex]\frac{-11}{2} *\frac{-2}{11} j \leq 8*\frac{-11}{2}[/tex]

[tex]j\leq 8*\frac{-11}{2}[/tex]

Since we multiplied by a negative number, we must flip the inequality sign.

[tex]j\geq 8*\frac{-11}{2}[/tex]

Multiply 8 and -11/2

[tex]j\geq 8*-5.5[/tex]

[tex]j\geq -44[/tex]

The solution to the inequality is: [tex]j\geq -44[/tex]

Answer:  see below

Step-by-step explanation:

[tex]P(x)=\dfrac{2}{3x-1}\qquad \qquad Q(x)=\dfrac{6}{-3x+2}\\[/tex]

P(x) ÷ Q(x)

[tex]\dfrac{2}{3x-1}\div \dfrac{6}{-3x+2}\\\\\\=\dfrac{2}{3x-1}\times \dfrac{-3x+2}{6}\\\\\\=\large\boxed{\dfrac{-3x+2}{3(3x-1)}}[/tex]

P(x) + Q(x)

[tex]\dfrac{2}{3x-1}+ \dfrac{6}{-3x+2}\\\\\\=\dfrac{2}{3x-1}\bigg(\dfrac{-3x+2}{-3x+2}\bigg)+ \dfrac{6}{-3x+2}\bigg(\dfrac{3x-1}{3x-1}\bigg)\\\\\\=\dfrac{2(-3x+2)+6(3x-1)}{(3x-1)(-3x+2)}\\\\\\=\dfrac{-6x+4+18x-6}{(3x-1)(-3x+2)}\\\\\\=\dfrac{12x-2}{(3x-1)(-3x+2)}\\\\\\=\large\boxed{\dfrac{2(6x-1)}{(3x-1)(-3x+2)}}[/tex]

P(x) - Q(x)

[tex]\dfrac{2}{3x-1}- \dfrac{6}{-3x+2}\\\\\\=\dfrac{2}{3x-1}\bigg(\dfrac{-3x+2}{-3x+2}\bigg)- \dfrac{6}{-3x+2}\bigg(\dfrac{3x-1}{3x-1}\bigg)\\\\\\=\dfrac{2(-3x+2)-6(3x-1)}{(3x-1)(-3x+2)}\\\\\\=\dfrac{-6x+4-18x+6}{(3x-1)(-3x+2)}\\\\\\=\dfrac{-24x+10}{(3x-1)(-3x+2)}\\\\\\=\large\boxed{\dfrac{-2(12x-5)}{(3x-1)(-3x+2)}}[/tex]

P(x) · Q(x)

[tex]\dfrac{2}{3x-1}\times \dfrac{6}{-3x+2}\\\\\\=\large\boxed{\dfrac{12}{(3x-1)(-3x+2)}}[/tex]

NoAnswer:

Step-by-step explanation:

Cause I’m good

Answer:

Step-by-step explanation:

Let, present age of son be 'x'

present age of father be 'y'

y = 4x→ equation ( i )

After five years,

Son's age = x + 5

father's age = y + 5

According to Question,

[tex]y + 5 = 3(x + 5)[/tex]

Put the value of y from equation ( i )

[tex]4x + 5 = 3(x + 5)[/tex]

Distribute 3 through the parentheses

[tex]4x + 5 = 3x + 15[/tex]

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S. and change its sign

[tex]4x - 3x = 15 - 5[/tex]

Collect like terms

[tex]x = 15 - 5[/tex]

Calculate the difference

[tex]x = 10[/tex]

Now, put the value of X in equation ( i ) in order to find the present age of father

[tex]y = 4x[/tex]

plug the value of X

[tex] = 4 \times 10[/tex]

Calculate the product

[tex] = 40[/tex]

Therefore,

Present age of son = 10

present age of father = 40

Hope this helps..

Best regards!!

Answer:

1.7

Step-by-step explanation:

1. Find the volume of Glass 2 (volume of a cone = 1/3πr² ·h)

1/3 · 3.14 · 2.5² · 6 = 39.25 cm³

2. Subtract the volume of Glass 2 from the amount of water poured

60 - 39.25 = 20.75 cm³

3. Set up the equation for Glass A using x for the height being solved for (volume of a cylinder = πr² · h)

3.14 · 2² · x = 20.75

12.56x = 20.75

4. Solve for x by dividing both sides by 12.56 (round to the nearest tenth)

x = 1.7

The answer should be 1.7

Answer:

fncjcnj jcj jcj jcj jd. d. c. dn. d. c. c. x. c. c. c.

Answer:

  145.39

Step-by-step explanation:

The ratio of supply to demand will be 1 at the equilibrium price:

  S(p)/D(p) = 1 = 140e^(0.005p)/(448e^(-0.003p))

  448/140 = e^(0.005p -(-0.003p)) = e^(0.008p)

  ln(448/140) = 0.008p . . . . . . . . . taking the natural log

  p = ln(448/140)/0.008 ≈ 145.39

The equilibrium price is about $145.39.

Answer:

z=  0.278

Step-by-step explanation:

Given data

n1= 60 ; n2 = 100

mean 1= x1`= 10.4;     mean 2= x2`= 9.7

standard deviation  1= s1= 2.7 pounds ;  standard deviation 2= s2 = 1.9 lb

We formulate our null and alternate hypothesis as

H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)

We set level of significance α= 0.05

the test statistic to be used under H0 is

z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂

the critical region is z > ± 1.96

Computations

z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100

z= 10.4- 9.7/ √ 7.29/60 + 3.61/100

z= 0.7/√ 0.1215+ 0.0361

z=0.7 /√0.1576

z= 0.7 (0.396988)

z= 0.2778= 0.278

Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0  at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.

Answer:

A. This statement A is false.

B. This statement A is false.

C. This statement is true .

Step-by-step explanation:

Determine which of the following statements is true.

From the statements we are being given , we are to determine if the statements are valid to be true or invalid to be false.

SO;

A: If V is a 6-dimensional vector space, then any set of exactly 6 elements in V is automatically a basis for V

This statement A is false.

This is because any set of exactly 6 elements in V is linearly independent vectors of V . Hence, it can't be automatically a basis for V

B. If there exists a set that spans V, then dim V = 3

The statement B is false.

If there exists a set , let say [tex]v_1 ...v_3[/tex], then any set of n vector (i.e number of elements forms the basis of V)  spans V. ∴ dim V < 3

C. If H is a subspace of a finite-dimensional vector space V  then dim H ≤ dim V is a correct option.

This statement is true .

We all know that in a given vector space there is always a basis, it is equally important to understand that there is a cardinality for every basis that exist ,hence the dimension of a vector space is uniquely defined.

SO,

If  H is a subspace of a finite-dimensional vector space V  then dim H ≤ dim V is a correct option.

Answer:

[tex]\boxed{135\°,315\°}[/tex]

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

[tex]\theta = 135+180n[/tex]

[tex]n[/tex] is any integer value.

The value of [tex]n[/tex] cannot exceed 1 or be less than 0, because the value of [tex]\theta[/tex] must be between 0 and 360 degrees.

[tex]\theta = 135+180(0)[/tex]

[tex]\theta = 135[/tex]

[tex]\theta = 135+180(1)[/tex]

[tex]\theta = 315[/tex]

Answer:

y+2 = 4(x-6)

Step-by-step explanation:

The point slope equation of a line is

y-y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y - -2 = 4( x-6)

y+2 = 4(x-6)

Answer:

The simplified expression is [tex]\frac{10}{3 a^2 b}[/tex]

Step-by-step explanation:

The given expression is:

[tex]\frac{15b}{4} * \frac{8}{9a^2 b^2}[/tex]

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

[tex]= \frac{120b}{36 a^2 b^2} \\\\[/tex]

Divide both the numerator and the denominator by 12b:

[tex]= \frac{120b /12b}{36 a^2 b^2/12b}[/tex]

The expression finally becomes:

[tex]= \frac{10}{3 a^2 b}[/tex]

Answer:

Step-by-step explanation:

here u go

Answer:

AC = DF

Step-by-step explanation:

The SSS Postulate occurs when all three corresponding pairs of sides are congruent, therefore, the only missing pair is AC = DF.

Answer:

£1960

Step-by-step explanation:

Step 1.

2% = 100% ÷ 50

Step 2.

£2000 ÷ 50 = £40

Step 3.

£2000 - £40 = £1960

Answer:

Since the transformation is made by shifting the function right, it is a horizontal transformation.

Answer:

when we add all the angles.

=58+94+15=167

so it's a 180..

180_167

=13

round to nearest tenth.

=10..

This question is incomplete

Complete Question

The function s(V) = ∛V describes the side length, in units, of a cube with a volume of V cubic units.

Jason wants to build a cube with a minimum of 64 cubic centimeters.

What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?

a) s > 0

b) s ≥ 4

c) s ≥ 8

d) s ≥ 16

Answer:

b) s ≥ 4

Step-by-step explanation:

From the above question, we are given Volume of the cube = 64cm³

We are given the function

s(V) = ∛V

Hence,

The range for the side length s =

s(V) ≥ ∛V

s(V) ≥ ∛64 cm³

s(v) ≥ 4 cm

Therefore, the reasonable range for s, the side length, in centimeters, of Jason’s cube

Option b) s ≥ 4

Answer:

s≥ 4

Step-by-step explanation:

Answer:

353 kg

Step-by-step explanation:

So you want to find the number of kg by finding the answer through the density formula. To do this you take the formula of Density, which is  [tex]D=\frac{m}{v}[/tex]. Now you substitute D for the density of 0.1765,  and v for the volume, which is 2000, to then get  [tex]0.1765=\frac{m}{2000}[/tex]. Now you solve for m. To do this you multiply each side by 2000. This brings you with [tex]353=m[/tex] after multiplying 0.1765 and 2000. Hope this helps!

The mass of the helium that the balloon contain will be 353 kilograms.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Mass = density × volume

A weather balloon holds 2,000 cubic meters of helium.

The density of helium is 0.1765 kilograms per cubic meter.

The mass of the helium that the balloon contain will be

Mass = 0.1765 × 2000

Mass = 353 kilograms

To learn more about the density refers to the link;

brainly.com/question/952755

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