The speeds of four racing cars are 146.633 mph, 150 mph, 151.971 mph, and 141.428 mph. Find the average speed of the 4 cars correct to 5 significant digits.

Answer:

3.3 and -0.3

Step-by-step explanation:

Using the quadratic formula plug in the a, b, and c values in this equation into the formula and you get 3.3 as a result. Not sure where the 0.3 part came from since it is not the opposite equation, but 3.3 is for sure correct. Work is linked below.

Answer:

387-141=246

Step-by-step explanation:

    387

   - 141

-------------

     246

Answer:

1 a. commutative property of multiplication

b. distributive property of multiplication

2 x=23\12

-x = -23\12

-23\12+23\12=0

thus -(-x)+x

Answer:

See below ↓

Step-by-step explanation:

1.

2.

Answer:

(4x)

2

=16×x

2

Step-by-step explanation:

hope it's help

Answer:

Step-by-step explanation:

First you would multiply 4x12 l

next you will get 36l

Finally you would divide it by some # to get your answer .

Answer:

2 > x or x < 2

Step-by-step explanation:

-1 + 6(-1 - 3x) > -39 - 2x

-1 - 6 - 18x > -39 - 2x

-7 - 18x > -39 - 2x

32 > 16x

2 > x or x < 2

the reason that x < 2 is because of the negative sign. I solved it so that x stays positive but if you solve the equation with x on the other side like -16x > -32 then when you divide by -16 it changes to x < 2

PLEASE RATE!!! I hope this helps!!

(I have verified my answer on an online calculator)

Answer:

the width is 9in

Step-by-step explanation:

perimeter of triangle =3×16 = 48

let w= width of rectangle

perimeter of triangle = perimeter of rectangle

48= 2(15 +w)

24= 15 + w

w= 9

[tex]x^2+2x-3=0\\\\\implies x^2 +3x -x -3 =0\\\\\implies x(x+3) -(x+3)=0\\\\\implies (x-1)(x+3)=0\\\\\implies x =1 ~ \text{or}~ x = -3[/tex]

Answer:

Step-by-step explanation:

Let the blank is x, solve the equation for x:

Let that be x

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (1000)(0.035)(5)\implies I=175[/tex]

Answer:

As Per Provided Information

Area of given square slice of cheese is 25 square inches .

We have been asked to determine the perimeter of the slice of cheese .

First we will find the side of square slice of cheese .

Let us assume the side of square slice of cheese be s .

Now Let's Solve

[tex] \boxed{\bf \:Area_{(Square)} = {Side}^{2}}[/tex]

Substituting the value and we obtain

[tex] \sf \longrightarrow \: 25 = {s}^{2} \\ \\ \\ \sf \longrightarrow \: \sqrt{25} = s \\ \\ \\ \sf \longrightarrow \: s \: = 5 \: inch[/tex]

So, the side of square slice cheese is 5 inch

Now let's calculate the Perimeter of cheese

[tex] \boxed{\bf \: Perimeter_{(Square)} = 4 \times side}[/tex]

Substituting the value we obtain

[tex] \longrightarrow \sf \: Perimeter_{(Square)} = 4 \times 5 \\ \\ \\ \longrightarrow \sf \: Perimeter_{(Square)} =20 \: inches[/tex]

Therefore,

Answer:

[tex]\\[/tex]

Step-by-step explanation:

Given that Height of cone shaped roof is 30 ft and radius is 15 ft.

To calculate the lateral surface area and Surface area of the cone we will use the formula given below:

[tex]\\[/tex]

[tex]\star \: { \underline { \boxed { \purple{ \pmb { \sf{Lateral \: surface \: Area _{(cone)} = \pi rl}}}}}}[/tex]

[tex]\\[/tex]

[tex]\star{\underline{ \boxed{ \purple{ \pmb { \sf{Surface \: area _{(cone)} = \pi rl + \pi {r}^{2} }}}}}}[/tex]

[tex]\\[/tex]

Finding the Slant height of the cone:

[tex]\dashrightarrow \: \:L = \sqrt{ {(r)}^{2} + {(h)}^{2} } \\ [/tex]

[tex] \dashrightarrow \: \: L = \sqrt{225 +900 } \\ [/tex]

[tex] \dashrightarrow \: \: L = \sqrt{1125 } \\ [/tex]

[tex]{ \dashrightarrow \: \: { \pink{ \boxed { \: L = 33.541 }}}}\\ [/tex]

Substituting values in above formula:

[tex]\dashrightarrow \: \: LSA = \pi rl \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{22}{7} \times 15 \times 33.54 \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{22 \times 15 \times 33054}{7} \\ [/tex]

[tex]\dashrightarrow \: \: LSA = \dfrac{11068.2}{7} \\ [/tex]

[tex]\dashrightarrow \: \:{ \boxed { \pmb{ \sf {\pink{ LSA \: \approx1580 \: {ft}^{2}}}} }} \\ [/tex]

[tex]\\[/tex]

Hence, Lateral surface area of cone is 1580 feet²

Now, Calculating surface area:

[tex]\dashrightarrow \: \:SA = \pi rl + \pi {r}^{2} \\ [/tex]

[tex]\dashrightarrow \: \:SA = \pi (15)(33.54) + \pi {(15)}^{2} \\ [/tex]

[tex]\dashrightarrow \: \:SA = \pi(503.1) + 22 5 \pi \\ [/tex]

[tex]\dashrightarrow \: \: SA = 728.1 \pi \\ [/tex]

[tex]\dashrightarrow \: \:SA = 728.1 \times 3.14 \\ [/tex]

[tex]\dashrightarrow \: \:{ \boxed{ \pmb{ \pink{ \sf{SA \approx2287 \: {ft}^{2} }}}}} [/tex]

[tex]\\[/tex]

Answer:

36 cm^3

Step-by-step explanation:

Because you need to multiply 12x3 giving you 36.

Answer:

its a

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

∠DEH=∠IHE (alternate angles)

Answer: x = -1

Step-by-step explanation:

The problem is asking you the sum (+) of 3 times of a unknown number (let the unknown number be x) and 7, as in 3x + 7

According to the problem this expression is equal to 4,

3x + 7 = 4

1. Subtract 7 from both sides

3x = -3

2. Divide 3 on both sides

x = -1

Your final answer would be negative 1

Answer:

(10, 27)

Step-by-step explanation:

We have to solve the given set of equations :

As both equations are equal to y, equate the RHS of both of the equations.

Writing an ordered pair

Answer:

[tex]\displaystyle [10, 27][/tex]

Step-by-step explanation:

Set each equation equivalent to each other:

[tex]\displaystyle 3x - 3 = 2x + 7 \\ \\ \frac{-10}{-1} = \frac{-x}{-1} \\ \\ \boxed{10 = x, 27 = y}[/tex]

I am joyous to assist you at any time.

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

Hope that helps ~~~

Answer:

It's 77, the absolute value bars will just make the number positive

Step-by-step explanation:

Answer:

(0, -14)

Step-by-step explanation:

Midpoint formula: [tex](x_m, y_m) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]

The launching of the hot air balloon is from the ocean beach is an illustration of a projectile motion

The function is given as:

[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]

Differentiate

[tex]p'(x) =-\frac{4}{2500}x + 0.7[/tex]

Set to 0

[tex]-\frac{4}{2500}x + 0.7 = 0[/tex]

Subtract 0.7 from both sides

[tex]-\frac{4}{2500}x =- 0.7[/tex]

Multiply through by -2500/4

[tex]x =437.5[/tex]

Hence, the horizontal distance which a maximum height is attained is 437.5 meters

In (a), we have:

[tex]x =437.5[/tex]

Substitute [tex]x =437.5[/tex] in p(x)

[tex]p(437.5) =-\frac{2}{2500} * 437.5^2 + 0.7 * 437.5[/tex]

Evaluate

[tex]p(437.5) =153.125[/tex]

Hence, the maximum height above the sea level is 153.125 metres

In (b), the maximum height above the sea level is 153.125 metres

The ratio of the height on land and sea is given as:

Land : Sea = 2 m : 20 m

For the maximum height, we have:

Land : 153.125 m= 2 m : 20 m

Express as fraction

Land / 153.125 m = 2 /20

Multiply both sides by 153.125

Land = 15.3125

Approximate

Land = 15.3

Hence, the maximum height above the ground level is 15.3 meters

We have:

[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]

Substitute 50 for P(x)

[tex]-\frac{2}{2500}x^2 + 0.7x = 50[/tex]

Using a graphing calculator, we have:

x = 78.465 and 796.535

Hence, the horizontal distances where the balloon 50 m above the ground are 78.465 and 796.535 meters

Read more about projectile motion at:

https://brainly.com/question/1130127

Answer:

[tex]y=\frac{5}{6} x -5[/tex]

Step-by-step explanation:

Hi there!

We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line

The formula for the slope can be written as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the points to avoid confusion

[tex]x_1=6\\y_1=0\\x_2=0\\y_2=-5[/tex]

Now substitute these values into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-5-0}{0-6}[/tex]

Subtract

m=[tex]\frac{-5}{-6}[/tex]

Simplify

m=[tex]\frac{5}{6}[/tex]

The slope of the line is 5/6

Let's plug this value into the formula for the equation of the line in slope-intercept form.

We substitute 5/6 for m in y=mx+b:
y=[tex]\frac{5}{6}x+b[/tex]

Now we need to find b

As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.

One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0

The value of b is the value of y in this point, which is -5 in this case.

Substitute -5 as b in the formula.

[tex]y=\frac{5}{6} x -5[/tex]

Hope this helps!

See more on this subject here (n.b. the answer uses a different way of solving): https://brainly.com/question/20891204

Answer:

15 students in each bus.

Step-by-step explanation:

Subtract 10 from 100 and you get 90 then divide 90 by 6 and that gives you how many students in each bus

Answer:

Together they equal 180 l so you need to do 180-128 which equals 52. The answer is <D measures 52

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Given the following question:

[tex](7^5)^3[/tex]

To find the answer we simply have to apply the exponent rule and multiply the exponents.

[tex](7^5)^3[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]5\times3=15[/tex]
[tex]=7^{15}[/tex]

Your answer is "7^15" or option D.

Hope this helps.

Answer:

7^15

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7^5^3

7^(5*3)

7^15

Answer:

C. 451

Step-by-step explanation:

426 - 285 = 141

141 + 310 = 451

Answer:

x = -3.5

Step-by-step explanation:

−2.4x=8.4

Divide both sides by −2.4.

x= 8.4/-2.4

Expand 8.4/-2.4 by multiplying both numerator and the denominator by 10.

x= 84/-24

Reduce the fraction 84/-24 to lowest terms by extracting and canceling out 12.

x= −7/2

​-7/2 = -3.5

Answer:

-3.5

Step-by-step explanation:

Hello there?

given such a question,

You have to carry out division on of both RHS and LHS.

Take -2.4 and divide through -2.4{LHS} and 8.4{RHS}.

You are then remained with 1(x) in LHS and -3.5 in RHS

-2.4x /(-2.4)= {8.4}/(-2.4)

= -3.5

I hope this helps. Have a nice studies

The value of n is 3, value of m is 2 and the value de m + n + p is -2.

In this question we must analyze a null polynomial and determine three unknown variables. A null polynomial is those whose coefficients are equal to zero.

Therefore, we must resolve the following system of linear equations:

3 · n - 9 = 0   (1)

m - 2 = 0       (2)

p + 7 = 0       (3)

The solution of this system of linear equations is: n = 3, m = 2, p = -7. The value of n is 3, value of m is 2 and the value de m + n + p is -2. [tex]\blacksquare[/tex]

To learn further on polynomial, we kindly invite to check this verified question: https://brainly.com/question/23542646

[tex]( (\frac{3}{5}) {}^{0} ) {}^{ - 2} = (1) {}^{ - 2} = \frac{1}{1 {}^{2} } = \frac{1}{1} = 1[/tex]