find the product of 7 and 4.76

Answer:

(a) 2.79 seconds after its release the bag will strike the ground.

(b) At a velocity of 73.28 ft/second it will hit the ground.

Step-by-step explanation:

We are given that a balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 80 feet above the ground.

Assume the acceleration of the object is a(t) = −32 feet per second.

(a) For finding the time it will take the bag to strike the ground after its release, we will use the following formula;

                        [tex]s=ut+\frac{1}{2} at^{2}[/tex]

Here, s = distance of the balloon above the ground = - 80 feet

          u = intital velocity = 16 feet per second

          a = acceleration of the object = -32 feet per second

          t = required time

So,  [tex]s=ut+\frac{1}{2} at^{2}[/tex]

      [tex]-80=(16\times t)+(\frac{1}{2} \times -32 \times t^{2})[/tex]

       [tex]-80=16t-16 t^{2}[/tex]

       [tex]16 t^{2} -16t -80 =0[/tex]

          [tex]t^{2} -t -5 =0[/tex]

Now, we will use the quadratic D formula for finding the value of t, i.e;

           [tex]t = \frac{-b\pm \sqrt{D } }{2a}[/tex]

Here, a = 1, b = -1, and c = -5

Also, D = [tex]b^{2} -4ac[/tex] = [tex](-1)^{2} -(4 \times 1 \times -5)[/tex] = 21

So,  [tex]t = \frac{-(-1)\pm \sqrt{21 } }{2(1)}[/tex]

      [tex]t = \frac{1\pm \sqrt{21 } }{2}[/tex]

We will neglect the negative value of t as time can't be negative, so;

[tex]t = \frac{1+ \sqrt{21 } }{2}[/tex] = 2.79 ≈ 3 seconds.

Hence, after 3 seconds of its release, the bag will strike the ground.

(b) For finding the velocity at which it hit the ground, we will use the formula;

                       [tex]v=u+at[/tex]

Here, v = final velocity

So,  [tex]v=16+(-32 \times 2.79)[/tex]

      v = 16 - 89.28 = -73.28 feet per second.

Hence, the bag will hit the ground at a velocity of -73.28 ft/second.

Answer:

the unit rate is 0.50 per piece

Step-by-step explanation:

divide $2.50 by 5

Answer:

Step-by-step explanation:

square     square

yards         feet

4                 36

10                 x

 [tex]x = \dfrac{36\cdot10}{4}=9\cdot10=90[/tex]

Answer:

a=36, b=3, c=36, d=66

Step-by-step explanation:

a=3600/100=36

b=30*100/1000=3

c=30*100+(36*100)=66 hundreds

To find the GCF (greatest common factor) we must find the largest thing that can go into both of them.

We cannot divide by any exponents because only one has them, however we can divide by 5x.

5x^7, 30x

x^7, 6

So, the GCF is 5x

Hope this helps,

Jeron

P.S

If this helps, consider marking brainliest

edit:

Thank you :D

Answer:

5x.

Step-by-step explanation:

The GCF of 5 and 30 = 5.

The GCF of x^7 and x  is x.

Answer:

Proportional

Step-by-step explanation:

If you simplify 8/16 down as a fraction it would be 1/2 which is the same as 1/2 for the other one. You can also times the new rings by 8 which equals the old rings.

Answer:

(-2, 3)

Step-by-step explanation:

Let's work backwards.

You start at (-2, -3).

Instead of "moving up 2 units", we "move down 2 units".

Moving up or down means changing the Y axis FYI.

(-2, -5)

Instead of "moving down 8 units", we "move up 8 units".

(-2, 3)

Answer:

(0,5)

Step-by-step explanation:

2 + -2 =0

-3 +8 =5

so its( 0,5)

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!

Answer:

x minus y: when it says "minus", it means substracting, so x - y.

The product of two numbers: If we call one x and the other y, the product of them is the same as multiplying them, so xy.

The product of two numbers is six: If we call one x and the other y, the product of them is the same as multiplying them and we know the result of doing so is 6, so xy = 6

Six less than a number is y: So if we substract x to a number, the result is y, so 6 - x = y

x substracted by y: this means we substract x from y, which is the same than y minus x, so y - x

y divided by x: this means y is being divided by x, so y/x

The sum of two numbers is six: That means we sum x and y, and the result is 6, so x + y = 6

x divided by y: This means x is being divided by y, so x/y

The sum of x and y: this means both numbers are summing, so x + y

Six times a number equals y: This means 6 per a number (let it be x) is equal to y, so 6x = y

Answer:

The P-value is between 2.5% and 5% from the t-table.

Step-by-step explanation:

We are given that a random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years.

Let [tex]\mu[/tex] = true average age of all the students at the university.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 24 years     {means that the average age of all the students at the university is less than or equal to 24}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 24 years     {means that the average age of all the students at the university is significantly more than 24}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~   [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average age = 25 years

             s = sample standard deviation = 2 years

             n = sample of students = 16

So, the test statistics =  [tex]\frac{25-24}{\frac{2}{\sqrt{16} } }[/tex]  ~  [tex]t_1_5[/tex]  

                                     =  2  

The value of t-test statistics is 2.

Also, the P-value of test-statistics is given by;

            P-value = P( [tex]t_1_5[/tex] > 2) = 0.034 {from the t-table}

The P-value is between 2.5% and 5% from the t-table.

Answer: [tex]a=5/12[/tex]

Multiply both sides by 5/3

[tex](5/3)*(3/5a)=(5/3)*(1/4)\\a=5/12[/tex]

Answer:

a=12/5=2.4

Step-by-step explanation:

We cross multiply first

3/5a=1/4

5a×1=4×3

5a=12

Divide both sides by 5

5a/5=12/5

a=12/5

a=2.4

0:5 and 0:20 are equivalent. You multiply both 0 and 5 by 4 to get 0 and 20.

Answer:

2,575 grams of blood plasma are in the typical adult human body

Step-by-step explanation:

Density is the property that matter, whether solid, liquid or gas, has to compress into a given space, so it relates the amount of mass per unit volume. So the density of a substance is the quotient between mass and volume:

[tex]density=\frac{mass}{volume}[/tex]

In this case, you know:

Replacing:

[tex]1.03\frac{g}{mL} =\frac{mass}{2,500 mL}[/tex]

and solving, you get:

mass= 1.03 [tex]\frac{g}{mL}[/tex] *2,500 mL

mass= 2,575 g

2,575 grams of blood plasma are in the typical adult human body

Answer:

8.2 + (h÷6=w)

Answer:

Step-by-step explanation:

.40m + 80 = .80m + 20

-.40m + 80 = 20

-.40m = -60

m = 150 miles in a day

Answer:

[tex]\huge \boxed{x = \frac{33}{5} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \sf \frac{3}{5} =\frac{x}{11}[/tex]

Cross multiply.

[tex]\sf x \cdot 5=3 \cdot 11[/tex]

[tex]\sf 5x=33[/tex]

Divide both sides by 5.

[tex]\displaystyle \sf x = \frac{33}{5}[/tex]

The value is an improper fraction in simplest form.

The solution of the given fractions 3/5=x/11 in the improper fraction will be 6 3/5.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

As per the given,

3/5 = x/11

x/11 = 3/5

x = (3/5)11

x = 33/5

x = (30 + 3)/5

x = 30/5 + 3/5

x = 6 + 3/5 = 6 3/5

Hence "The solution of the given fractions 3/5=x/11 in the improper fraction will be 6 3/5".

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Answer:

obey the law    :)

Step-by-step explanation:

Answer: Obey the law

Step-by-step explanation:

9514 1404 393

Answer:

  (a) 84

Step-by-step explanation:

The largest integer that will round to 80 is one that does not have 5 or more in the ones place: 84.

__

The largest decimal number of a particular precision is 84.99999... (some finite number of 9s). If there are an infinite number of 9s, the number can be shown to be equal to 85, which would round to 90.

Answer:

C

Step-by-step explanation:

We know that p = 2 and q  = 3 so:

2 ~ 3

= 2² * 3³ - 3 * 3

= 4 * 27 - 9

= 108 - 9

= 99

Answer:

Step-by-step explanation:

4.5

The required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Rate of doing for highway workers A = 1 / 3
Rate of doing for highway workers B = 1 / 6
Now total rate,
= 1 / 3 + 1 / 6
= 2 + 1 / 6
= 3 / 6
= 1 / 2
Now,
it takes for the two highway workers to mow the grass together on this stretch of highway,
Time = 1 / 1 / 2
Time = 1 * 2 / 1
Time  = 2 hours,

Thus, the required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,

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619

the answer is 619

Answer:

= -5¹¹

Step-by-step explanation:

[tex]\frac{-5^{5} }{-5^{-6} }[/tex]

= -5^(5+6)

= -5¹¹

Step-by-step explanation:

Haley: 10x + 155

brother: 230-15x

10x+155=230-15x

25x + 155 = 230

25x = 75

x = 3 weeks

10(3)+155= 30+155= $185 for Haley

230-15(3)= 230-45= $185 for brother

Answer:

1) 6A + 4S = 548

2) A +12 = S  multiplying by 4

2) 4A -4S = -48 then we add equation 1)

1) 6A + 4S = 548

10A = 500

50 Adult Tickets were sold and

62 Student Tickets were sold.

Double Check

50 * $6 = $300

62 * $4 = $248

Total = $548 Answer is correct!!!

Step-by-step explanation:

Answer:

25 minutes.

Step-by-step explanation:

A person makes an overseas call.

The telephone company charges 65 cents for the first minute.

Then 75 cents for each minute thereafter.

There is a 55 cent service charge.

1 dollar = 100 cents

65 cents = $0.65

75 cents = $0.75

55 cents = $0.55

For a phone call that cost $19.20 ;

Subtracting the service charge and the first minute charge from overall cost we get;

$19.20 - $0.55 - $0.65 = $18

For every additional minute there is a charge of $0.75

How many minutes make $18 ;

Cross multiplying this gives;

[tex]\frac{18}{0.75} * 1[/tex] = 24  minutes.

So the call lasted 24 minutes + 1 minute = 25 minutes.

4,358

hope this helps

Answer:

The Confidence Interval = ($44,745.55 , $46,094.45)

Step-by-step explanation:

The formula for Confidence Interval =

Confidence Interval = Mean ± z × Standard deviation/√n

Where n = number of samples = 25 managers

Standard deviation = $2,050

Mean = $45,420

z = z score of the given confidence interval

= z score of 90% confidence interval

= 1.645

Confidence Interval = $45,420 ± 1.645 × $2,050/√25

= $45,420 ± 1.645 × $2,050/5

= $45,420 ± 674.45

Confidence Interval =

$45,420 - 674.45 = $44,745.55

$45,420 + 674.45 = $46,094.45

Therefore, the Confidence Interval = ($44,745.55 , $46,094.45)

3/4 divided by 9/10

Reduce the expression, if possible, by canceling the common factors.

Exact Form:

5/6

Answer:

27/40

Step-by-step explanation:

There is no possible way to simplfiy the equation

Answer:

9

Step-by-step explanation:

The thousandths place is the third digit after the decimal place. In this case, the digit in the thousandths place is 9. Note that this is the thousandths place, not the thousands place.

Answer:

[tex]\huge \boxed{y=9x-8}[/tex]

Step-by-step explanation:

The product is the result after multiplying two or more values together.

A number less than a value means that the number is subtracted from that value.

[tex]y=9 \cdot x-8[/tex]

[tex]y=9x-8[/tex]

Answer:

Since the limit resulting from the ratios test is = 1 / 729  which is < 1  the series converges absolutely

Step-by-step explanation:

Since the limit resulting from the ratios test is = 1 / 729  which is < 1  the series converges absolutely

ATTACHED BELOW IS THE DETAILED SOLUTION of the above answer

Answer:

A) З x,y : ( x/y < 1,  y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

Step-by-step explanation:

since the domain of discourse is a set of all real numbers the logical expressions of the English statements are expressed with respect to real number:

A) З x,y : ( x/y < 1,  y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

In translating English written expressions to logical expressions, we have to know the domain of the discourse. The domain of discourse can be said to be a set of all real numbers that the logical expressions of the English statements are expressed with respect to their real numbers. And as such, we arrive at each of this.

A) З x,y : ( x/y < 1,  y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

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