What is the product of d – 9 and 2d2 + 11d – 4?

Answer:

3 hours

Step-by-step explanation:

We have the amount of miles that Tanika passed, 189 miles. We also have the speed at which Tanika was driving, 63 miles per hour. Basically, Tanika was passing 63 miles on every one hour of driving. In order to find out how much time was Tanika driving with that speed to pass those miles, we just simply need to divide the miles passed with the speed of driving:

189 / 63 = 3

So we have a result of 3, thus Tanika needed three hours with a speed of 63 miles per hour to pass 189 miles.

Question 1:

For this case we can raise a rule of three:

63 miles ---------------> 1 hour

189 miles -------------> x

Where "x" represents the number of hours it takes Tanika to travel 189 miles.

[tex]x = \frac {189 * 1} {63}\\x = 3[/tex]

So, Tanika takes 3 hours to travel 189 miles

Answer:

Three hours

Question 2:

For this case we must solve the following equations:

A) [tex]-2x <4[/tex]

Dividing between -2 on both sides of the inequality:

[tex]x <\frac {4} {- 2}\\x <-2[/tex]

B) [tex]5t + 7 <32[/tex]

We subtract 7 on both sides of the inequality:

[tex]5t <32-7\\5t <25[/tex]

Dividing between 5 on both sides of the inequality:

[tex]t <\frac {25} {5}\\t <5[/tex]

C) [tex]12s-17 \geq2s + 33[/tex]

We subtract 2s on both sides of the inequality:

[tex]12s-2s-17 \geq33\\10s-17 \geq33[/tex]

We are 17 on both sides of the inequality:

[tex]10s \geq33 + 17\\10s \geq50[/tex]

We divide between 10 on both sides of the inequality:

[tex]s \geq \frac {50} {10}\\s \geq5[/tex]

D) [tex]-8m> -24[/tex]

Dividing between -8 on both sides of the inequality:

[tex]m> \frac {-24} {- 8}\\m> 3[/tex]

E) [tex]8n + 7> 4n + 35[/tex]

Subtracting 4n on both sides of the inequality:

[tex]8n-4n> 35-7\\4n> 28[/tex]

Dividing between 4 on both sides of the inequality:

[tex]n> \frac {28} {4}\\n> 7[/tex]

Answer:

[tex]x <-2\\t <5\\s \geq5\\m> 3\\n> 7[/tex]

The formula would be V

=

2

(

1

+

2

)

a

2

h

Answer:

20 times

Step-by-step explanation:

Since the probability of spinning a 4 and a C is [tex]\frac{1}{12}[/tex]

We're assuming this is proportional so the amount that you'll get if you spin it 240 times is [tex]\frac{1}{12}[/tex] of 240.

240 / 12 = 20

Answer:20 times

If you were to spin the wheel once the probability will be [tex]\frac{1}{12}[/tex]

now the question asks for you to find out how many times will the spinner point at both C and 4 if it were spun 240 times

All you have to do is use the formular

probability ×  number of trials

which is : [tex]\frac{1}{12}[/tex] × 240

and that will give you 20 times

The answer is $9.56.

Hope this helps!

He should leave $ 9.566 as tip.

What is a tip ?

A tip is the % of the total value of your bill you leave for the waiter or the person who gave you the service.

It is completely optional and the % is a variable depending upon various factors.

It is given in the question that

John goes out to eat at a local restaurant

The bill comes to $47.83.

John want to leave a 20% tip

the value of tip in $ = ?

The tip will be equal to

(20/100) * 47.83

(1/5) * 47.83

$ 9.566

Therefore he should leave $ 9.566 as tip.

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Similar triangles are those triangles whose corresponding sides are in the same ratio. The area of the ΔDEF is 9.6 inches².

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.

For similar triangles, the ratio of their area is equal to the square of the ratio of their sides. Therefore, we can write for the given triangles,

(Area of ΔDEF)/(Area of ΔABC) = (4/5)²

Area of ΔDEF = (16/25) × 15 in²

Area of ΔDEF = 9.6 in²

Hence, the area of the ΔDEF is 9.6 inches².

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Answer:

A bed room set is being sold for $5500 if bought cash. The set can be bought on  hire purchase by making a down payment of $1500 followed by 24 months  payments of $175 each. Calculate:

the total installments paid

 24 ($175) = $4200

the hire purchase price

 $1500 + $4200 = $5700

the amount saved by paying cash.

$5700 - $5500 = $200 saved by paying cash

Dion bought a new keyboard on hire-purchase. The cash price was $2400. He  paid a 25% deposit followed by 24 monthly payments of $120 each. Calculate

the amount of the deposit paid

 $2400 * .25 = $600

the total monthly payments made

 $120 * 24 = $2880

the hire purchase price

 $600 + $2880 = 3480

the difference between the cash price and the hire purchase price:  

$3480 - $2400 = $1920

Mr. Baker bought a gas stove on hire-purchase. The cash price was $850. H

is 15% deposit followed by 18 monthly payments of $42 each.

amount of deposit paid:  $ 850 * .15 = $127.50

total monthly payments:  $42 * 18 = $756

hire purchase price: $127.50 + $756 = 977.50

difference between cash price and hire purchase price:  

$883.50 - $850 = $33.50

***since the last one didn't have extra info to ask...I used the same information from the 2nd one***

Step-by-step explanation:

Answer:

The hang time is 0.63 seconds

Step-by-step explanation:

We want to find out what the cricket's fall time is and we have the function that describes its height as a function of time.

The cricket is on the ground when its height is equal to zero. Therefore we must equal h to zero and solve the equation for t ..

[tex]h=-16t^2+10t\\\\-16t^2 +10t=0\\\\\\[/tex]

We take t as a common factor

[tex]-16t^2 +10t=0\\\\t(10-16t)=0[/tex]

Then the height is zero when t = 0 and when (10-16t) = 0

[tex]t=0[/tex]

[tex]10-16t= 0[/tex]

[tex]10 = 16t[/tex]

[tex]t=\frac{10}{16}\\\\t= 0.63\ sec[/tex]

At t = 0 seconds the cricket is still on the ground.

Then the cricket is in the air and after 0.63 seconds the cricket falls back to the ground

Complete the square:

[tex]-16t^2+10t=-16\left(t^2-\dfrac58t\right)=-16\left(t^2-\dfrac58t+\dfrac{25}{256}-\dfrac{25}{256}\right)=-16\left(t-\dfrac5{16}\right)^2+\dfrac{25}{16}[/tex]

That is, [tex]h(t)[/tex] has a maximum value of [tex]\dfrac{25}{16}\approx1.6[/tex] ft when [tex]t=\dfrac5{16}\approx0.3[/tex] s. It takes the cricket twice as much time to jump up to its maximum height and return to the ground, so that the hang time is about 0.6 s.

The scatter plot diagram that represents the data that is shown in the given table is; Attached below

We are told that;

x-axis represents the beginning balance in thousands of dollars.

y-axis represents the change in the bank account in hundreds of dollars.

Now, this means the values on the x-axis in plotting order from left to right with their corresponding y-values are;

x - values = 4, 7, 2, 3, 1, 5, 2, 4

y - values = 7, 5, 3, 4, 6, 3, 1, 2

Thus, to plot the scatter diagram, we will enter the correpsonding x and y cordinate values which is seen in the scatter diagram attached.

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Answer: For future students, this is the answer. Check the photo. I'm from k12, Have a great day :)

Step-by-step explanation:

Answer:

65.97 - Circumference

346.36 - Area

Sorry if this was incorrect ^^'

Answer:

A parallelogram is a quadrilateral with no axis of line symmetry.

Answer:

parallelogram

Step-by-step explanation:

a parallelogram does not have an axis of a line of symmetry

Answer:

6√6 or 14.69694 (hope this helps)

Step-by-step explanation:

Product [tex]\sqrt{12}[/tex] times [tex]\sqrt{18}[/tex] is  6[tex]\sqrt{6}[/tex].

The square root of 12 can be written as

[tex]\sqrt{12} = \sqrt{2*2*3} = 2\sqrt{3}[/tex]

The square root of 18 can be written as

[tex]\sqrt{18} = \sqrt{2*3*3} = 3\sqrt{2}[/tex]

so, [tex]\sqrt{12} *\sqrt{18} = 2\sqrt{3} * 3\sqrt{2}[/tex]

=6[tex]\sqrt{3*2}[/tex]

=6[tex]\sqrt{6}[/tex]

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Because you are told the two are similar, find the ratio of them.

Side AB = ft and side EF is 25 feet.

This means the larger rectangle is 5 times larger ( 25 /5 = 5).

Area is in square units, so square the ratio: 5^2 = 25

The area of the larger rectangle is 25 times the area of the smaller one.

Area = 35 x 25 = 875 ft^2

Answer:

x = +√96 = +√(16*6) = + 4√6

Step-by-step explanation:

Note that this is a large triangle with 2 smaller, similar triangles inside.  The base of the large triangle is 10, so the base of either of the smaller triangles is half that, or 5.  These are all right triangles.  We can now apply the Pythagorean Theorem to find x.

According to this Theorem, x² + 5² = 11², so that x² = 121 - 25 = 96.

Taking the positive square root to be the desired side length x,

x = +√96 = +√(16*6) = + 4√6

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}\\\\25\%=\dfrac{25}{100}=0.25\\\\25\%\ of\ 75\to 0.25(75)=18.75[/tex]

[tex]75 \div x = 100 \div 25[/tex]

[tex]x = \frac{75 \times 25}{100} [/tex]

[tex]x = 18.75[/tex]

Answer:

53

Step-by-step explanation:you have to do it youself

Answer:

{(3^-1)(5^2)/(3^2)(5^-4)}^1/3= 25/3

Step-by-step explanation:

(3^-1)(5^2)/(3^2)(5^-4)

=(5^6/3^3)^1/3

=(5^6/27)^1/3

=∛5^6/27 (find the cube root)

=5^2/3

=25/3

Answer: average = 4

               standard deviation = 0.38

Step-by-step explanation:

Average (aka Mean) = (4 + 3.5 + 4.5 + 4.2 + 3.8)/5 = 20/5 = 4

[tex]\text{Standard Deviation = }\sqrt{\dfrac{1}{n-1}\sum(x-\overline{x})^2}\\\bullet n=5\\\bullet x=4\\\\\\SD=\sqrt{\dfrac{1}{5-1}[(4-4)^2+(4-3.5)^2+(4-4.2)^2+(4-3.8)^2]}\\\\\\.\quad =\sqrt{\dfrac{1}{4}[0+0.25+0.25+0.04+0.04]}\\\\\\.\quad =\sqrt{\dfrac{0.58}{4}}\\\\\\.\quad =0.38078[/tex]

Answer:

C

Step-by-step explanation:

The statement deduced from the diagram is m∠1 + m∠2 = 180°

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

From the diagram:

m∠1 + m∠2 = 180° (sum of angles in a straight line)

The statement deduced from the diagram is m∠1 + m∠2 = 180°

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At least means that the number could either equal 6 or be greater than 6.

The inequality would be: n ≥ 6

Answer:

the answer would be your first option n > 6

Step-by-step explanation: It is the first option because at least means no less than (blank). In this case, it is 6. And having the greater than and less than signed underlined means you can have it up to your number and including that number.

Hope this helped!!! (pardon the confusing explanation)

Answer:

(2, 1)

Step-by-step explanation:

Using the midpoint formula

midpoint = [ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (3, 3)

= [ [tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex](- 1 + 3) ]

= (2, 1)

The answer is:

The x-coordinate of the solution to the system of equations is:

[tex]x=-2[/tex]

We can solve the problem writing both equations as a system of equations.

So, we are given the equations:

[tex]\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.[/tex]

Then, solving by reduction we have:

Multiplying the first equation by 2 in order to reduce the variable "x", we have:

[tex]\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.[/tex]

[tex]5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2[/tex]

Now, substituting "y" into the first equation, to isolate "x" we have:

[tex]y=x+4\\\\2=x+4\\\\x=2-4=-2[/tex]

Hence we have that the x-coordinate of the solution to the system of equations is

[tex]x=-2[/tex]

Have a nice day!

Answer:

The x coordinate of the solution is -2

Step-by-step explanation:

* To find the x-coordinate of the solution to the system of the

  equations y = x + 4 and 3y = -2x + 2 solve the equations by the

  substitution method

- In the substitution method we substitute one of the two variables

 by the other to make an equation of one variable

∵ y = x + 4 ⇒ (1)

∵ 3y = -2x + 2 ⇒ (2)

- Substitute the value of y in equation (2) by the value of y in equation (1)

∵ The value y = 4 + x in the equation (1)

- Put this value of y in the equation (2)

∴ 3(x + 4) = -2x + 2 ⇒ open the bracket

∴ 3x + 12 = -2x + 2 ⇒ subtract 12 from both sides

∴ 3x = -2x - 10 ⇒ add 2x to both sides

∴ 5x = -10 ⇒ divide both sides by 5

∴ x = -2

* The x coordinate of the solution is -2

Answer:

60 feet

Step-by-step explanation:

Pentagon = 5 sides

We need to find the perimeter of the pentagon and we know that one side is 12 feet so,

1 side = 12 feet

( Multiply by 5 to get 5 sides )

5 sides = 60 feet

Answer:

60 feet.

Step-by-step explanation:

A regular pentagon has 5 sides equal in length.

Therefore the perimeter of this one is 5 * 12 = 60 feet.

4064.8 pi or 12763.6

The volume of a sports ball with a diameter of 29 cm can be calculated using the formula for the volume of a sphere, resulting in approximately 12,719 cubic centimeters for its volume.

The volume of a sphere (such as a sports ball) can be determined using the formula V = 4/3πr³, where V represents volume and r represents the radius of the sphere. In the situation you described, the sports ball has a diameter of 29 cm which means the radius (r) is half of that or 14.5 cm. Plugging these values into the formula gives us:

V = 4/3π(14.5)³ ≈ 12,718.951 cm³

So, the volume of the sports ball is approximately 12,719 cubic centimeters.

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Answer:

it would be

The dependent variable is distance, the equation is y = 35x, and the dragonfly will travel 840 miles

Step-by-step explanation:

By the graph it can be seen that the distance a dragonfly can travel is dependent on the certain number of hours.

∴ Dependent variable  : Distance (on y axis)

The equation of straight line is given by :-

, here m is the slope of the line and c is the initial value of y at x=0.

From the given graph, the slope of the given line passing from (0,0) and (2,70) will be :-

Also, the value of y = 0 at x=0.

∴ The equation of the given line :

At x=24,  

∴  The dragonfly will travel 840 miles in 24 hours.

Answer:

56 eggs

Step-by-step explanation:

If [tex]\frac{2}{7}[/tex] of all eggs are green, [tex]\frac{1}{4}[/tex] of all are blue, then

[tex]1-\dfrac{2}{7}-\dfrac{1}{4}=\dfrac{28-2\cdot 4-7}{28}=\dfrac{13}{28}[/tex]

of all eggs are red.

We know that there are 26 red eggs

[tex]26\text{ eggs }-\dfrac{13}{28}\\ \\x\text{ eggs }- 1[=\dfrac{28}{28}][/tex]

Make a proportion

[tex]\dfrac{26}{x}=\dfrac{\frac{13}{28}}{1}\\ \\26\cdot 1=x\cdot \dfrac{13}{28}\ [\text{Cross multiply}]\\ \\13x=26\cdot 28\ [\text{Multiply by 28 to get rid of fraction}]\\ \\x=\dfrac{26\cdot 28}{13}\ [\text{Divide by 13 to get x}]\\ \\x=2\cdot 28\\ \\x=56[/tex]

Answer:

All values at which g has a local maximum = {-2, 3}

All local maximum values of g =  {-3, -1}

Step-by-step explanation:

All values at which g has a local maximum can be found by locating all points of crest which are at (-2,3), (3,-1)

All values at which g has a local maximum means write the x-coordinates only so the answer is given by {-2, 3}

All local maximum values of g means write the y-coordinates only so the answer is given by {-3, -1}

Hence final answer is given by:

All values at which g has a local maximum = {-2, 3}

All local maximum values of g =  {-3, -1}

The answer I think is 1615

The gross pay if she works 38 hrs in a week will be $ 323.The pay of one hour is 8.50.

The total amount of the money a peson obtained for his work as salary is the gross pay.

The amount amber makes in an hour = $ 8.50

The gross pay when she work 38 hrs in a week is found as;

Gross pay = 38 ×8.50

Gross pay =$ 323

Hence, the gross pay if she works 38 hrs in a week will be $ 323.

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Answer:

y = (-1/4)x + 4 is the equation of the line in slope-intercept form.

Step-by-step explanation:

When graphing the line I like to do it from left to right. Start at the point (0,4) which is the y-intercept as a coordinate. Slope is rise over run so now go down 1 unit and 4 units to the right. Keep doing that pattern and then connect the points to form a line. Make sure to put arrows on the ends to represent that the line goes on forever in both directions. Going right to left you could go up 1 unit and 4 units to the left as well. I hope this helps.

y = (-1/4)x + 4 is the equation of the line in slope-intercept form.

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

Given

m = -1/4

c = 4

y = mx+c

y = -1/4 x + c

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Answer:

The correct graph is which x= -1 and y =1

Step-by-step explanation:

The question is on simultaneous equations

2x+y= -1.........................(a)

-x+3y = 4

Eliminate on side of the equation;

{2x+y= -1} 3

{-x+3y = 4} 1

open brackets

6x + 3y = -3

-x + 3y = 4......................eliminate y by subtraction

7x= -7.....................divide both sides by 7

x= -7/7 = -1......................use  this in (a) above

2x+y = -1

2(-1) + y = -1

-2 +y = -1

y= -1+2 = 1

hence x= -1 and y = 1

Answer:

131.9468915

Step-by-step explanation:

Side length= 6*4*pi

Circles=2(9*pi)

Add them and you get that answer.

Easy! The formula to help with surface area is the first equation.