The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

The label on the car's antifreeze container claims to protect the car between -40°C and 125°C.

So inequality which models this situation will be -40°C < T < 125°C

Now we have to show this inequality in Fahrenheit temperature with the help of [tex]C=\frac{5}{9} (F-32)[/tex]

So the compound inequality in Fahrenheit temperature will be

[tex]-40 < \frac{5}{9} (F-32) < 125[/tex]


Related Questions

g(a) = 2a - 4
h(a) = 3a- 3
Find (g o h)(10)
A) 50
B) 44
C) -75
D) 45

Answers

Answer: i think its D

Step-by-step explanation:

i’m pretty sure it is C i took thsi a while ago

How do my child do this

Answers

It wouldn’t change because you would order them all out and one way you get in between 6 and 8 which would give you 7 and if you add 7 that is in the middle by itself

Marina bought a bag of 10 chocolate cookies, 35 vanilla cookies, and 30 peanut butter cookies.

If she selects a cookie from the bag without looking, what is the probability she selects a peanut butter cookie?

Answers

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

1) Add all the values.

= 10 + 35 + 30

= 75

2) 75 will be the denominator and the one required will be the numerator.

Since there are 30 peanut butter cookies, the probability is [tex]\frac{30}{75}[/tex].
3) Simplify the fraction if necessary.

Divide both sides by 15.

= [tex]\frac{2}{5}[/tex]

n is a rational number.
m is an irrational number.
so can nm be a rational number?

Answers

Answer:

yes than can become a rational number!!

2. Choose the graph that shows the solution of the inequality on the number line
c<-1
|||||||||
-6 -4 -2 0 2
|||||||→
-6
-4 -2 0 2
|||→
-6 -4 -2 0 2
++
6
-4 -20

Answers

Answer:

Number line 3 also known as [C]

Step-by-step explanation:

Given that:

c ≤ -1

Knowing that:

≤  = Less than or equal to

Now substitute into the equation:

C less than or equal to -1

Thus, it going left on a number line.

The only number line with left is [A] and [C]

Since ≤  = Less than or equal to -1

then, it including -1

also known as a closed circle means the number is included and an open circle means it is not.

Hence, it closed circle.

Thus, the answer is [C]

Kavinsky

Sophia draws a game piece at random from a bag containing 54 game pieces. The bag contains only red pieces, blue pieces, and green pieces. If the 1 probability of Sophia drawing a red piece is how 9 many red game pieces are in the bag?

Answers

18 I think I might not be right tho.

PLEASE HELP!! I DON'T UNDERSTAND IT

Answers

Well from the looks i don’t know what X is in this situation, but you should have the sam degrees for both answers. So what ever X is add it to that 30 and the other angle sound be the same degrees as that angle.

4.
Which statement best describes the figure shown below?

A The ray appears to be perpendicular to 2 line segments that appear to be
parallel
B The ray appears to be parallel to 2 line segments that appear to be
perpendicular.
C The line segment appears to be perpendicular to 2 lines that appear to be
parallel
D The line segment appears to be parallel to 2 lines that appear to be
perpendicular.

Answers

999999999999999999999999

A polygon that is equiangular but not equilateral, or equilateral but not equiangular, or neither equiangular nor equilateral is an___.
A. regular polygon
B. convex polygon
C. irregular polygon
D. concave polygon
E. diagonal of a polygon

Answers

A polygon that is equiangular but not equilateral, or equilateral but not equiangular, or neither equiangular nor equilateral is an irregular polygon.

there are five geometric mean between a and b. if second and last mean are 2 and 16 respectively, find the value of a and b.​

Answers

Answer:

a = 1/2, b = 32.

Step-by-step explanation:

Second = a1r  and fifth = a1r^4   where  r = common ratio   and  a1 is the first mean after a.

So 1ar^4 / a1r = r^3 = 16/2

r^3 = 8

r = 2.

So a1 = 1.

The 5 means are 1, 2, 4, 8, 16

S0 a = 1/2 = 1/2 and b = 2*16 = 32.

How to figure out how to do this problem

Answers

The circumference should be 37.68 because area= pi *r^2. So if area=pi*36, then the radius must be 6 which makes the diameter 12 and circumference=pi*diameter and 3.14*12= 37.68. So circumference of the circle is 37.68!

Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line. ​

Answers

Answer:

The slope of the line would be -3/2.

Step-by-step explanation:

Let's get this equation into the proper slope form:

2x - 3y - 5 = 0

2x - 3y + 3y - 5 = 0 + 3y

2x - 5 = 3y

(1/3)(2x - 5) = 3y * 1/3

2/3x - 5/3 = y

Since the slope is 2/3, we need to find the negative reciprocal of that number, which is -3/2.

Given ↓The equation of the line 2x - 3y -5 = 0

To find ↓The slope of the line perpendicular to this line

Calculations ↓

First of all, we need to add 5 on both sides :

2x-3y=5

Now, subtract 2x on both sides ↓

-3y=5-2x

Or

-3y=-2x+5

Now we need to divide by -3 on both sides to get y all by itself ↓

y=-2/-3+5/-3

[tex]\boxed{\\\begin{minipage}{2cm}y=$\displaystyle\frac{2}{3} x-\frac{5}{3}$ \\ \end{minipage}}[/tex]

Now determining the slope is facile.

If lines are perpendicular to each other, they

Intersect at a 90º angleHave slopes that are opposite reciprocals

In order to find the opposite reciprocal of a fraction, we need to switch the numerator & the denominator places and then change the fraction's sign as follows ↓

(slope = 2/3)

Switch the numerator and denominator places ↓

3/2

Change the fraction's sign ↓

-3/2

Therefore the slope's -3/2

hope helpful ~

Can someone help me on this I am not sure how to do it

Answers

Answer:

B. 5

Step-by-step explanation:

In order to estimate how many pizzas were eaten, we need to subtract the amount of pizza left from the original amount. The amount of pizza left is 5/6 + 1 3/4. 5/6 is about 1 and 1 3/4 is about 2. 1 + 2 = 3 pizzas eaten.

The original amount of pizzas, 8, minus the amount of pizzas eaten, 3, is 5.. We can estimate that 5 pizzas were eaten.

what is 3/4 - 3/8 = in simplest form

Answers

Answer:

3/8

Step-by-step explanation:

We have to use a common denominator of 8 for this problem. 3/4 = 6/8. 6/8  - 3/8 is 3/8. 3/8 is in its simplest form, so that would be the answer.

Answer:

3/8

Step-by-step explanation:

Reduce the fraction to lowest terms

1 is the greatest common divisor of 3 and 8. The result can't be further reduced.

PLEASE HELP ME WITH THIS!!!!

Answers

Answer:

Triangles A and B

Step-by-step explanation:

Similar triangles have congruent corresponding angles. Triangles a and b both have angle measures of 90°, 23° and 67°. Triangle C has different angle measures therefore it cannot be similar to either triangle A and B.

Similar triangles also have similar side length ratios via corrsesponding sides. This is true for triangles A and B eg. have corresponding side length ratios of 24/12 , 26/13 and 10/5 which all equal 2

So we can conclude triangles A and B are similar

Can some one help me with this ASAP

Answers

4x - 2y = 12

x + 2y = 8

(to cancel 2y, solve by adding)

4x - 2y = 12

+

x + 2y = 8

4x + x = 5x

-2y + 2y = 0

12 + 8 = 20

5x = 20

÷5

x = 4

Substitute x=4 to one of the equation:

x + 2y = 8

4 + 2y =8

-4

2y. = 4

÷2

y. = 2

Check:

4 + (2x2) does give you 8

Hope this helps!

What is the measure of ZC?
184°
B
E
O 30 degrees
O 50 degrees
O 55 degrees
O 80 degrees
74°
D
?
C

Answers

Answer:

55°

Step-by-step explanation:

[tex]m\angle C = \frac{1}{2} (184 \degree - 74 \degree) \\ \\ \implies \: m\angle C = \frac{1}{2} (110 \degree) \\ \\ \implies \: m\angle C = 55 \degree[/tex]

Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

the answer is in the picture

The results of a poll show that between 74% and 82% of consumers prefer Chip A to Chip B. What is the point estimate for the percent of consumers that prefer Chip A to Chip B?

74%

78%

82%

8%

Answers

Answer:

78%

Step-by-step explanation:

First of all, the point estimate is a value located in between the upper confidence limit and the lower confidence limit, it identifies a point in some parameter space.

This question provides us with an interval estimate which is a range of values used to estimate a population parameter.

Interval Estimate = 74% to 82%

74% = Lower confidence limit

82% = Upper confidence limit

Point estimate = middle value

= [tex]\frac{74+82}{2}=\frac{156}{2}[/tex]

= 78%

Find the equation of the parabola with a focus F (0, 3) and a directrix of y = -5.

Answers

Answer:

y=116⋅x2−1

Step-by-step explanation:

What is the measure of angle x?

Answers

Answer:

The answer is 47°

Step-by-step explanation:

Total angles in a triangle is 180°

so 31+x+102 = 180

x= 180-133

x=47°

If a bank offers to double your money in 8 years, what is the effective rate of interest? ​

Answers

Answer:

I think I would be 16 cause if 8 double it is 16

FIND THE AREA PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

28.8 yd^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height in this triangle is 6.4 yd and the base is 9 yd

1/2*9*(6.4) = 28.8

From a hot-air balloon, Enola measures a 22 degrees angle of depression to a landmark that’s 310 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

  125.25 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...

  Tan = Opposite/Adjacent

__

Solving for the Opposite side (the height of the balloon), we find ...

  Opposite = Adjacent · Tan

  height = (310 ft)·tan(22°) ≈ 125.25 ft

Enola's balloon is about 125.25 ft above the ground.

_____

Additional comment

If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).

Find the circumference of a circle with diameter,
d
= 11.8cm.
Give your answer rounded to 3 SF.

Answers

Answer:6.8

Step-by-step explanation:

i dont know how to explain.

find the simple interest due on a 270-day loan of $20,000 at an interest rate of 8.875%

Answers

Answer:

first you need to take way 20,000-88.75 =19,911.25 now you need to multiple 19,911.25×270=3,982345.go and see for your self

Express 0.70330.70330, point, 7033 as a fraction.

Answers

Answer:

7033 / 10 000

Step-by-step explanation:

x = .70330

10 000 x = 7033.0   divide both sides by 10 000

x = 7033 / 10 000

i need a an A pls help

Answers

Answer:

it B

Step-by-step explanation:

B stands for ben

like talking ben?

Answer:

c. 7x-2=19

Step-by-step explanation:

1. add 2 to both sides 7x-2(+2)=19+2

2. divide by 7 on both sides7x/7=21/7

3. x=3

6] divide -7 by -4/5
whats the answer

Answers

given:

[tex] - 7 \div \frac{ - 4}{5} [/tex]

solution:

[tex] \frac{ - 7}{1} \div \frac{ - 4}{5} [/tex]

[tex] =8.75[/tex]

( just keep the first fraction as it is, change the divide sign to a multiply and flip the second fraction upside down. )

Answer:

35/4 or 8 3/4.

Step-by-step explanation:

-7 / -4/5

Invert the second fraction and multiply:

= -7 * -5/4

=  35/4

= 8 3/4.

Got stuck, need help for solving the measure of arc LP.

Answers

Answer:

-3 degrees

Step-by-step explanation:

13x + 78= 39 degree

-78 -78

(divide both sides by 13)

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