The radiator in a car is filled with a solution of 70 per cent antifreeze and 30 per cent water. The manufacturer of the antifreeze suggests that for summer driving, optimal cooling of the engine is obtained with only 50 per cent antifreeze. If the capacity of the raditor is 4.7 liters, how much coolant (in liters) must be drained and replaced with pure water to reduce the antifreeze concentration to 50 per cent?

Answer:

The total years of sleep = 25.05 years

Step-by-step explanation:

Given total time in minutes = 3.95 x 10^7

Now convert the total time in hours = (3.95 x 10^7) / 60 = 658333.333 hours

Now covert the total hours into the day. Since a day has 24 hours so divide the total hours by 24 = 658333.333 / 24 = 27430.5555 days.

A person sleeps 8 hours a day, so total hours of sleep = 8 × a number of days.

A person sleeps 8 hours a day, so total hours of sleep = 8 × 27430.5555 days.

Thus, total sleeping hours = 219444.444

Now convert it into a number of years.

Convert total hours into the day and then years.

Number of days = 219444.444 / 24 = 9143.5185 days.

Now covert the total days in to years = 9143.5185 / 365 = 25.05 years

Answer:  5) 72.6°      6) 68.7°       7) 37.3°        8) 81.5°

Step-by-step explanation:

Law of Cosines:    a² = b² + c² - 2bc · cos A

                              b² = a² + c² - 2ac · cos B

                              c² = a² + b² - 2ab · cos C

5) a = 27, b = 26, c = 20, A = ???

   a² = b² + c² - 2bc · cos A

27² = 26² + 20² - 2(26)(20) · cos A

729 = 676 + 400 - 1040 cos A

729 = 1076 - 1040 cos A

-311 = -1040 cos A

[tex]\dfrac{311}{1040}=\cos A\\\\\cos^{-1}\bigg(\dfrac{311}{1040}\bigg)=A[/tex]

72.6° = A

6) a = 11, b = 13, c = 12, B = ???

   b² = a² + c² - 2ac · cos B

13² = 11² + 12² - 2(11)(12) · cos B

169 = 121 + 144 - 264 cos B

169 = 265 - 264 cos B

-96 = -264 cos B

[tex]\dfrac{96}{264}=\cos B\\\\\cos^{-1}\bigg(\dfrac{96}{264}\bigg)=B[/tex]

68.7° = B

7) a = 19.2, b = 11.7, c = 16.5, B = ???

   b² = a² + c² - 2ac · cos B

11.7² = 19.2² + 16.5² - 2(19.2)(16.5) · cos B

136.89 = 368.64 + 272.25 - 633.6 cos B

136.89 = 640.89 - 633.6 cos B

-504 = -633.6 cos B

[tex]\dfrac{504}{633.6}=\cos B\\\\\cos^{-1}\bigg(\dfrac{504}{633.6}\bigg)=B[/tex]

37.3° = B

8) a = 8.8, b = 12.4, c = 14.1, C = ???

   c² = a² + b² - 2ab · cos C

14.1² = 8.8² + 12.4² - 2(8.8)(12.4) · cos C

198.81 = 77.44 + 153.76 - 218.24 cos C

198.81 = 231.2 - 218.24 cos C

-32.39 = -218.24 cos C

[tex]\dfrac{32.39}{218.24}=\cos C\\\\\cos^{-1}\bigg(\dfrac{32.39}{218.24}\bigg)=C[/tex]

81.5° = C

Answer:the answer would be i do believe 32

The number of more yards of red fabric Tammy used will be 1/12 yards.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Tammy made a shirt using 1/4 yards of green fabric and 1/3 yards of red fabric.

Then the number of more yards of red fabric Tammy used will be

⇒ 1/3 - 1/4

⇒ (4 - 3) / 12

⇒ 1 / 12

The number of more yards of red fabric Tammy used will be 1/12 yards.

More about the Algebra link is given below.

https://brainly.com/question/953809

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6.545, since it is the midpoint of 6.54 and 6.55.

Hopefully it helps!

Please mark brainliest :)

The mid - point between the numbers is 6.545.

We have two decimal numbers → 6.54 and 6.55​

We have to determine their mid - point.

The midpoint (n) between these two numbers will be -

[tex]$n=\frac{x+y}{2}[/tex]

According to the question, we have -

Number 1 → 6.54

Number 2 → 6.55

Assume the mid - point be n. Therefore -

n = [tex]\frac{6.54+6.55}{2}[/tex] = 6.545

Hence, the mid - point between the numbers is 6.545.

To solve more questions on Arithmetic mid - points, visit the link below-

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Answer:

15625

Step-by-step explanation:

Answer:

(5⁴)(5²) or 15625

Step-by-step explanation:

When looking at a problem like this you need to look for keywords such as "Power" and "times"

5 to the 4th power looks like this 5⁴

And 5 to the 2nd power looks like this 5²

Making this (5⁴)(5²)

But if you want the answer after that the answer is 15625

Answer:

[tex]x < -2[/tex].

Step-by-step explanation:

It is given that [tex]3x + 6 < 12[/tex] and [tex]6x + 24 < 12[/tex].

For [tex]3x + 6 < 12[/tex],

[tex]3x < 12-6[/tex]

[tex]3x < 6[/tex]

Divide both sides by 2.

[tex]x < 2[/tex]      ...(i)

For [tex]6x + 24 < 12[/tex],

[tex]6x< 12-24[/tex]

[tex]6x< -12[/tex]

Divide both sides by 6.

[tex]x < -2[/tex]      ...(ii)

From (i) and (ii), we get

[tex]x < 2\text{ and }x<-2[/tex]

[tex]\Rightarrow x<-2[/tex]

Therefore, the required answer is [tex]x < -2[/tex].

Answer:

x=−5

Step-by-step explanation:

x+12=7

Step 1: Subtract 12 from both sides.

x+12−12=7−12

x=−5

Answer:

x = -5

Step-by-step explanation:

We subtract 12 on both sides.

After that, we got x = -5

And we're done ^^

Answer:

Good luck!

Step-by-step explanation:

Roots = 1, 2

Sum of roots = 3

Product of roots = 2

Use f(x) = ax^2 - bx + c

Therefore, f(x) = x^2 - 3x + 2

Answer:

Step-by-step explanation:

It seems rather obvious that ...

  (1 cm)^2 ⇒ (10 mi)^2 = 100 mi^2 . . . on the first drawing

  (1 cm)^2 ⇒ (30 mi)^2 = 900 mi^2 . . . on the second drawing

The area on the second drawing is 900/100 = 9 times as great.

_____

These are the areas represented by 1 square cm on the scale drawing. If the drawing is larger, then the represented area is correspondingly larger. The ratio of represented areas is still 9 times for drawings of the same size.

Answer:

ggtr

Step-by-step explanation:

GIMME THOSE POINTS

Answer:

Function: [tex]x+y=9[/tex]

Not Function: [tex]x^2+y^2=1[/tex]    and     [tex]x=y^2[/tex]

Step-by-step explanation:

Given

[tex]x+y=9[/tex]

[tex]x^2+y^2=1[/tex]

[tex]x=y^2[/tex]

Required

Determine if [tex]y[/tex] is a function of [tex]x[/tex]

Solving x+y=9

[tex]x+y=9[/tex]

Make y the subject of formula

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

Hence; y is a function of x

Solving [tex]x^2+y^2=1[/tex]

[tex]x^2+y^2=1[/tex]

Subtract x² from both sides

[tex]y^2=1 - x^2[/tex]

Square root of both sides

[tex]y =\± \sqrt{1 - x^2}[/tex]

This implies that

[tex]y =\sqrt{1 - x^2}[/tex]     or     [tex]y =-\sqrt{1 - x^2}[/tex]

Because [tex]y[/tex] can be any of those two expressions, it is not a function.

Solving [tex]x=y^2[/tex]

[tex]x=y^2[/tex]

Reorder

[tex]y^2 = x[/tex]

Take square roots

[tex]y = \±\sqrt{x}[/tex]

This implies that

[tex]y = \sqrt{x}[/tex]      or        [tex]y = -\sqrt{x}[/tex]

Because [tex]y[/tex] can be any of those two expressions, it is not a function.

Answer:

65 i think

Step-by-step explanation:

Answer:

65 Im preety sure

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

1540*100 divided by 616

The answer for this question I don’t think could be answered by anyone but yourself. To help you figure this out, just simply think about all of the math courses you’ve had previous to your current course and think about which course you did best in.

Answer: u may want to look at your vocabulary

Step-by-step explanation:

anyways: The entire collection of individuals about which information is being sought is called a. population.

Answer:

width=4

length=18

Step-by-step explanation:

length-6=3width

length=3width+6

also:

perimeter of the rectangle=2(length+width)

44/2=width+length

22=width+length

now put the length we found in the 1st equation, in 22=width+length

=>22=width+3width+6

22-6=4width

width=4

now do the exact same thing with one of these equations:

22=width+length

length=3width+6

I'd do it with the 1st one:

22=4+length

22-4= length

length=18

Answer:  348 in²

Step-by-step explanation:

Area of a circle is πr².  Area of a sector is the same formula but only for the section so you need to determine what fraction of the circle it is.  You do this by dividing by 360° if degrees are provided or by 2π if radians are given.

[tex]A=\pi r^2 \bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given: r = 17

          Ф = 138°

[tex]A=\pi(17)^2\bigg(\dfrac{138^o}{360^o}\bigg)\\\\\\.\quad =289\pi \bigg(\dfrac{23}{60}\bigg)\\\\\\.\quad =\dfrac{6647\pi}{60}\pi\\\\\\.\quad =347.9\ in^2[/tex]

Answer:

100

Step-by-step explanation:

try to write it exponentially

³√10⁶

(10⁶)^⅓

(10)^6/3

(10)^2

10x10 = 100

Answer:

126

Step-by-step explanation:

because after point no. greater than 5 will definitely

be 1 no. more than that

Answer:

Option D - bottles of orange juice produced in the plant on june 12

Step-by-step explanation:

The population describes the data from which the sample size is gotten.

Now, we are told that A quality control manager randomly selects 40 bottles of orange juice that were filled on june 12 to assess the calibration of of the filling machine.

This means that the sample size is 40 bottles. The population from which this sample is gotten is therefore:

bottles of orange juice that were filled on june 12.

Option D is correct

Answer:

-20 + 12y

Step-by-step explanation:

Equation: 10 - 6(5 - 2y)

Step 1:

10 - 30 + 12y          Multiply (5 - 2y) by -6 (distributive property)

Step 2:

-20 + 12y            Subtract 10 by 30 (10 - 30 = -20)

Answer:

[tex]12y-20[/tex]

Step-by-step explanation:

First, we need to distribute.

[tex]= 10+(-6)(5)+(-6)(-2y)= 10+-30+12y[/tex]

Now, we need to combine these terms.

[tex]=10+-30+12y=(12y)+(10+-30)=12y+-20[/tex]

The answer is

[tex]12y-20[/tex]

Answer:

1). Option (C)

2). Option (A). degree of 3 = 0

Step-by-step explanation:

A polynomial having one term is called 'Monomial' in algebraic terms.

3 is a number that is a polynomial with a single term.

Therefore, the given expression is a polynomial.

Hence Option (C) is the answer.

3 can be written as 3x⁰ (Since x⁰ = 1)

Therefore, degree of the polynomial is 0.

Option (A). degree of the polynomial = 0

Answer:

125

Step-by-step explanation:

n+25 = 150.

150-25= 125.

n must equal 125.

answer is 125.

Answer:

Perpendicular bisector for the given segment AB is shown below.

Step-by-step explanation:

Construction steps for the perpendicular bisector for the given segment AB are:

1. Open your compass more than half of the distance between end points of the given segment, i.e., A and B.

2. Place the compass on point A and mark two arc on each side of line segment AB.

3. Place the compass on point B and mark two arc on each side of line segment AB, which intersect the previous arcs.

4. Arcs meet at two points. Mark them C and D.

5. Draw the line between C and D.

The perpendicular bisector for the given segment AB is shown below.

Answer:

The answer would be B because Ms. Shah's class planted four more trees so you would subtract 36 by 4 to get your answer

Answer:

there are no options given

Step-by-step explanation:

Answer:

28.1 - (-6.5) = 34.6

Step-by-step explanation:

Subtracting a negative is the same as adding a positive. So, 28.1 minus negative 6.5 is same as 28.1 plus 6.5 and you get 34.6

Answer:

yeah it is 34.6

Step-by-step explanation: