As a truck rounds a curve,a box in the bed of the truck slides to the side farthest from the center of the curve. This movement of the box is a result of

Answer:

2(x + 10)

Step-by-step explanation:

The sum of x and 10 is x + 10

The product of 2 and x + 10 means multiply them, thus

2 × (x + 10)

= 2(x + 10) ← parenthesis indicates x and 10 are added before being multiplied by 2

Answer:

42.50

Step-by-step explanation:

bill + tip = total bill

The tip is based on the bill

tip = bill * 20%

tip = bill * .20

Replace in the original equation

bill + .20 bill = total bill

Combine like terms

1.20 bill = total bill

The total bill was 51 dollars

1.20 bill = 51

Divide each side by 1.20

1.20 bill / 1.2 = 51/ 1.2

bill =42.50

Answer:

$42.50

Step-by-step explanation:

If the total was $51 with the tip, and you know the tip was 20%, you can set up an equation and solve:

0.2x+x=51

1.2x=51

x=42.5

Therefore, the bill (w/o tip) was $42.50

p.s.Please give me brainliest. Thank you! :)

Answer:

4 quarts

Hope it helps!

Step-by-step explanation:

Answer: 5 gallons= 20 quarts

              1 gallon = 4 quarts

Answer:

I came up with the answer check my questions to see it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Original Median (28+46)/2 = 37

Original Mean (222/6) = 37

New Median (46)

New Mean (52)

Mean increases the most.

The mean will increase more.

We have weights of six packages  28, 22, 52, 25, 49, and 46.

We have to find if we include a package that weighs 142 ounces, which will increase more, the median or the mean.

If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position [tex]\frac{(N+1) }{2}[/tex].

If we don't include the package of 142 ounce, then -

Mean = [tex]\frac{28 + 22 + 52 + 25 + 49 + 46}{6} = 37[/tex]

Median = [tex]\frac{52 + 25}{2} = 38.5[/tex]

After including the package of 142 ounce,

Mean = [tex]\frac{28 + 22 + 52 + 25 + 49 + 46+142}{6} = 52\\[/tex]

Median = Element at [tex]\frac{(N+1) }{2}[/tex] position = 25

Hence, mean increase more.

To solve more questions on mean and median, visit the link below -

https://brainly.com/question/9820885

#SPJ2

Given that:-

→ 1 sandwich = 2 slices of bread.

→ 1 hiker = 1 sandwich.

→ Then we have to find number of bread slices for n hikers .

→ Number of bread slices for 1 hiker = 2

→ Number of bread slices for 2 hikers = 2 × 2

→ For 3 hikers = 3 × 2

So in similar way

→ Number of bread slices for n hikers = 2×n → 2n

So 2n is the answer.

Answer:

the slope is -3

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

Answer:

The positive integer factors of 15552 that are perfect squares are;

1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184

Step-by-step explanation:

The positive integer factors of 15552 are;

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 864, 972, 1296, 1728, 1944, 2592, 3888, 5184, 7776, 15552

The perfect square integers are;

1 = 1 × 1

4 = 2 × 2

9 = 3 × 3

16 = 4 × 4

36 = 6 × 6

64 = 8 × 8

91 = 9 × 9

144 = 12 × 12

324 = 18 × 18

576 = 24 × 24

1296 = 36 × 36

5184 = 72 × 72

Therefore, the positive integer factors of 15552 that are perfect squares are;

1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184.

Answer:

b

Step-by-step explanation:

Answer:

B. The 20-count pack of AA batteries has a lower unit price of $0.79 per battery.

Step-by-step explanation:

I just have an educated guess out of the info that you gave me.

Answer:

The first Answer:

Step-by-step explanation:

The x-values are not the same on one line:

Image

The line connecting isn't perfect but see what I mean?

Answer:

D

Step-by-step explanation:

To figure out which ones is 15% of the number, we want to divide the number on the left of ratio, by the number on the right.

4/15=26%

5/33=15.15%

3/25=12%

1.5/10=15%

Answer:

[tex]\large \boxed{\mathrm{D. \ 1.5:10}}[/tex]

Step-by-step explanation:

4 is not 15% of 15.

15% × 15 = 2.25

5 is not 15% of 33.

15% × 33 = 4.95

3 is not 15% of 25

15% × 25 = 3.75

1.5 is 15% of 10.

15% × 10 = 1.5

Answer:

The answer to your question is given below.

Step-by-step explanation:

To divide 2635 by 17 using long division method, we simply do the following:

2635 ÷ 17

17 can not go into 2. Therefore, we try 17 into 26, keeping 35 constant.

26 ÷ 17 = 1

Put the 1 on top.

Multiply 17 by 1

17 x 1 = 17

Subtract 17 from 26

26 – 17 = 9

Put the 9 in from of 35 to become 935

Next:

935 ÷ 17

17 can not go into 9. Therefore, we try 17 inot 93 keeping 5 constant.

93 ÷ 17 = 5

Put the 5 on top together with the 1 to become 15.

Multiply 17 by 5

17 x 5 = 85

Subtract 85 from 93

93 – 85 = 8

Put the 8 in front of 5 to become 85

Next:

85 ÷ 17

17 can not go into 8. Therefore, we try 85

85 ÷ 17 = 5

Put the 5 on top together with 15 to become 155

Multiply 17 by 5

17 x 5 = 85

Subtract 85 from 85

85 – 85 = 0

Since no number is remaining, we shall stop here.

Therefore,

2635 ÷ 17 = 155

Please attached photo for further details.

Answer:

x = 60/83

Step-by-step explanation:

Solve for x:

10 - (83 x)/6 = 0

Put each term in 10 - (83 x)/6 over the common denominator 6: 10 - (83 x)/6 = 60/6 - (83 x)/6:

60/6 - (83 x)/6 = 0

60/6 - (83 x)/6 = (60 - 83 x)/6:

(60 - 83 x)/6 = 0

Multiply both sides of (60 - 83 x)/6 = 0 by 6:

(6 (60 - 83 x))/6 = 6×0

(6 (60 - 83 x))/6 = 6/6×(60 - 83 x) = 60 - 83 x:

60 - 83 x = 6×0

0×6 = 0:

60 - 83 x = 0

Subtract 60 from both sides:

(60 - 60) - 83 x = -60

60 - 60 = 0:

-83 x = -60

Divide both sides of -83 x = -60 by -83:

(-83 x)/(-83) = (-60)/(-83)

(-83)/(-83) = 1:

x = (-60)/(-83)

Multiply numerator and denominator of (-60)/(-83) by -1:

Answer: x = 60/83

Answer:

[tex] 0.88^x [/tex]

Step-by-step explanation:

Exponential decay formula is given as [tex] a(1 - r)^x [/tex], where,

a is the initial amount

r is the decay rate

x is the time interval

Therefore, the multiplier that corresponds to 12% decay is [tex] (1 - r)^x = (1 - \frac{12}{100})^2 = (1 - 0.12)^x = 0.88^x [/tex]

Answer:

[tex]5(4)^x=320\\\frac{5(4)^x}{5}=\frac{320}{5}\\ 4^x=64\\x*(log(4) )=log(64)\\x=\frac{log(64)}{log(4)}\\ x=3[/tex]

Step-by-step explanation:

Answer:

Marked price= RS 1600

Discount= RS 80

Step-by-step explanation:

Let

x= the marked price

Discount= 5%

Discount = 5% of x

=0.05x

Cost after discount = x-0.05x

= 0.95x

Vat=10%

=0.1

Cost of the radio including vat=0.95x + 0.1(0.95x)

=0.95x + 0.095x

=1.045x

Price became rs 1672

Therefore,

1.045x=1672

Divide both sides by 1.045

x= RS 1600

Discount=5% of 1600

=0.05 * 1600

=rs 80

Answer:

3x(x-1)-5(x-1)

=3x²-3x-5x+5 (we can count it one by one)

=3x²-8x+5 (we can calculate the same variable)

#i'm from indonesia

hope it helps.

Answer:

[tex]\boxed{3x^2 -8x+5}[/tex]

[tex]\boxed{(3x-5)(x-1)}[/tex]

Step-by-step explanation:

[tex]3x(x-1)-5(x-1)[/tex]

Expand brackets.

[tex]3x(x)+3x(-1)-5(x)-5(-1)[/tex]

[tex]3x^2 -3x-5x+5[/tex]

Combine like terms.

[tex]3x^2 -8x+5[/tex]

[tex]3x(x-1)-5(x-1)[/tex]

Take x-1 as a common factor.

[tex](3x-5)(x-1)[/tex]

Answer:

The probability is 0.97682

Step-by-step explanation:

We start by finding the z-values of the runner times given.

Mathematically;

z-score = (x-mean)/SD

From the question, mean = 13 seconds and SD = 0.3 seconds

So for 12.4 seconds, we have;

z = (12.4-13)/0.3 = -0.6/0.3 = -2

For 14 seconds, we have;

z = (14-13)/0.3= 1/0.3 = 3.33

So the probability we want to calculate is;

P(-2<z<3.33)

We can find this using the standard normal distribution table

Mathematically;

P(-2<z<3.33) = P(z<3.33) - P(z < -2)

Using the standard normal distribution table, the value of this is;

P(-2<z<3.33) = 0.97682

Answer:

c

Step-by-step explanation:

diameter will be 36, radius 18 and the height is 6

Answer:

(a) Triangles are similar if corresponding angles are congruent and the ratios of the lengths of corresponding sides are equal.

(b) x = 24

(c) y = 17; z = 51

Step-by-step explanation:

(a) Triangles are similar if corresponding angles are congruent and the ratios of the lengths of corresponding sides are equal.

(b)

15/45 = 8/x

1/3 = 8/x

x = 3 * 8

x = 24

(c)

a^2 + b^2 = c^2

x^2 + 45^2 = z^2

24^2 + 45^2 = z^2

576 + 2025 = z^2

z^2 = 2601

z = 51

15/45 = y/z

1/3 = y/51

3y = 51

y = 17

Answer:

37x - 13

Step-by-step explanation:

Hello!

The product of 37 and x mean multiply so we can write it as

37x

13 less means subtract so we put that at the end

37x - 13

The answer is 37x - 13

Hope this helps!

Answer:

37 * x - 13

This answer is here according to your question It said that 37*x - 13 Please mark this answer The brainliest one

Answer:

Yes!

Step-by-step explanation:

Answer:

18 m

Step-by-step explanation:

Answer:

18m

Step-by-step explanation:

Answer:

1.734

Step-by-step explanation:

Given that:

A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles).

The fitted regression is Time = −7.126 + .0214 Distance

Based on a sample size n = 20

And an Estimated standard error of the slope = 0.0053

the critical value for a right-tailed test to see if the slope is positive, using ∝ = 0.05 can be computed as follows:

Let's determine the degree of freedom df = n - 1

the degree of freedom df = 20 - 2

the degree of freedom df =  18

At the level of significance ∝ = 0.05 and degree of freedom df =  18

For a right tailed test t, the critical value from the t table is :

[tex]t_{0.05, 18} =[/tex] 1.734

Answer:

Movies cost $2.50 and video games cost $5.50

Step-by-step explanation:

Let the rental cost of movies be x and the rental cost of video games y

12x + 2y = 41

3x + 5y = 35

Solve by substitution

Answer:

Movie price: $2.5

Video game price: $5.5

Step-by-step explanation:

First month

12 movies ([tex]m[/tex]);

2 video games ([tex]v[/tex]);

Cost: $41

Second month

3 movies ([tex]m[/tex]);

5 video games ([tex]v[/tex]);

Cost: $35

[tex]$\left \{ {{12m+2v=41} \atop {3m+5v=35}} \right.$[/tex]

[tex]$\left \{ {{12m+2v=41} \atop {3(-4)m+5(-4)v=(-4)35}} \right.$[/tex]

[tex]$\left \{ {{12m+2v=41} \atop {-12m+-20v=-140}} \right.$[/tex]

[tex]-18v=-99[/tex]

[tex]v=5.5[/tex]

[tex]12m+2(5.5)=41[/tex]

[tex]12m+11=41[/tex]

[tex]12m=30[/tex]

[tex]m=2.5[/tex]

Answer:

A

Step-by-step explanation:

So we have the equation:

[tex]-15=5a+12-2a+6[/tex]

On the right combine like terms:

[tex]-15=5a-2a+12+6\\-15=3a+18[/tex]

Subtract 18 from both sides. The right cancels:

[tex](-15)-18=(3a+18)-18\\-33=3a[/tex]

Divide both sides by 3:

[tex](-33)/3=(3a)/3\\a=-11[/tex]

The answer is A, -11.

Answer:

a = -11

Step-by-step explanation:

-15 = 5a +12- 2a + 6

Combine like terms

-15 = 3a +18

Subtract 18 from each side

-15-18 = 3a+18-18

-33 = 3a

Divide each side by 3

-33/3 = 3a/3

-11 =a

Answer:

The first and third polynomials have roots in x = 3 and x = -i. (A, C)

Step-by-step explanation:

The quickest form to determine if [tex]x = 3[/tex] and [tex]x = -i[/tex] are roots consist in evaluating each polynomial and proving that result is zero.

A. [tex]f(x) = x^{3}-3\cdot x^{2}+x-3[/tex]

x = 3

[tex]f(3) = 3^{3}-3\cdot (3)^{2}+3-3[/tex]

[tex]f(3) = 27-27+3-3[/tex]

[tex]f(3) = 0[/tex]

x = -i

[tex]f(-i) = (-i)^{3}-3\cdot (-i)^{2}-i-3[/tex]

[tex]f(-i) = i + 3-i-3[/tex]

[tex]f(-i) = 0[/tex]

B. [tex]f(x) = x^{5}+9\cdot x^{4}+28\cdot x^{3} + 36\cdot x^{2}+27\cdot x +27[/tex]

x = 3

[tex]f(3) = 3^{5}+9\cdot (3)^{4}+28\cdot (3)^{3}+36\cdot (3)^{2}+27\cdot (3)+27[/tex]

[tex]f(3) = 2109[/tex]

x = -i

[tex]f(-i) = (-i)^{5}+9\cdot (-i)^{4}+28\cdot (-i)^{3}+36\cdot (-i)^{2}+27\cdot (-i)+27[/tex]

[tex]f(-i) = -i+9 -28\cdot i +36-27\cdot i +27[/tex]

[tex]f(-i) = -56\cdot i +64[/tex]

[tex]f(-i) = 64 -56\cdot i[/tex]

C. [tex]f(x) = x^{5}-9\cdot x^{4}+28\cdot x^{3} - 36\cdot x^{2}+27\cdot x -27[/tex]

x = 3

[tex]f(3) = (3)^{5}-9\cdot (3)^{4}+28\cdot (3)^{3}-36\cdot (3)^{2}+27\cdot (3)-27[/tex]

[tex]f(3) = 0[/tex]

x = -i

[tex]f(-i) = (-i)^{5}-9\cdot (-i)^{4}+28\cdot (-i)^{3}-36\cdot (-i)^{2}+27\cdot (-i)-27[/tex]

[tex]f(-i) = -i - 9+28\cdot i+36-27\cdot i-27[/tex]

[tex]f(-i) = 0[/tex]

D. [tex]f(x) = x^{3}+3\cdot x^{2}+x+3[/tex]

x = 3

[tex]f(3) = (3)^{3}+3\cdot (3)^{2}+(3)+3[/tex]

[tex]f(3) = 60[/tex]

x = -i

[tex]f(-i) = (-i)^{3}+3\cdot (-i)^{2}+(-i)+3[/tex]

[tex]f(-i) = -i+3-i+3[/tex]

[tex]f(-i) = 6-i\,2[/tex]

The first and third polynomials have roots in x = 3 and x = -i. (A, C)

Answer:

-5.3 meters

The dolphin's friend is 5.3 meters below the water surface

Step-by-step explanation:

Complete question below:

A dolphin is swimming with her friend. The dolphin jumps to a height of 4.54 meters above the surface of the water as her friend swims 9.8 meters directly below her. What is the position of the dolphin's friend relative to the surface of the water?

Solution

The dolphin jumps to a height of 4.5 meters above the surface of the water

Her friend swims directly 9.8 meters below her

The position of the dolphin's friend relative to the surface of the water= dolphins position above the surface of the water - her friend's position below her

=4.5 meters - 9.8 meters

= -5.3 meters

-5.3 meters means below the water surfaces

This means, the dolphin's friend is 5.3 meters below the water surface