The length of a rectangle is measured as 370 mm correct to 2 significant figures. a) What is the upper bound for the length? The width of this rectangle is measured as 19.4 mm correct to 1 decimal place. b) What is the lower bound for the area of the rectangle?​

Answers

Answer 1
Answers: a) 375mm b) 19.35

Think of bounds as the most a number can possibly be stretched to still give you a desired result. Up to, but not including, 375mm would still round down to 370mm (that is as far as the number can stretch, up). That is therefore the upper bound. The lower bound would be 365mm, as that is as low as you can possibly go whilst still rounding up (as low down as we can stretch it.)
Using this logic, we can work out any bounds. 19.35 is the lowest we can go, and 19.44999999 recurring is the lowest, so we can go up to, but not include, 19.45.

Related Questions

Select all the points that are on the graph of the function defined by y = 2x + 3
a. (-4,3)
b. (-1,1)
C. (0,0)
d. (2,7)
e. (3,9)
f. (3,12)
g. (4.5, 12)​

Answers

Answer:

b, d, e, g are the points

The coordinates (-, 1), (2, 7), (3, 9) and (4.5, 12) are the points that are on the graph of the function. Therefore, the options B, D, E and G are the correct answers.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y=2x+3.

A) Substitute (x, y)=(-4, 3) in y=2x+3, we get

3=2(-4)+3

3≠-5

B) Substitute (x, y)=(-1, 1) in y=2x+3, we get

1=2(-1)+3

1=1

C) Substitute (x, y)=(0, 0) in y=2x+3, we get

0≠3

D) Substitute (x, y)=(2, 7) in y=2x+3, we get

7=2(2)+3

7=7

E) Substitute (x, y)=(3, 9) in y=2x+3, we get

9=2(3)+3

9=9

F) Substitute (x, y)=(3 12) in y=2x+3, we get

12=2(3)+3

12≠9

G) Substitute (x, y)=(4.5, 12) in y=2x+3, we get

12=2(4.5)+3

12=12

Therefore, the options B, D, E and G are the correct answers.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

1. Write a rule for the transformation performed if Q(3 , 5) translates to Q’( 3, 18).


2. Consider the point Q(4,-3) which is translated to (3,2). What would the pre-image of P(1, 2) be under the same translation?


Function Notation.

Find the range values (y-values) for function f(x)=2x^2-4 when the domain (x-value) is (-2,0,1)

f(-2)=2(-2)^2-4= ?


f(0)=2(0)^2-4= ?


f(1)=2(1)^2-4= ?

Answers

Answer:

1. vertical translation (the point goes straight up)

2. P'(0,7) (the translation was up five units and over 1 unit)

3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)

f(0)=2(0)^2-4= (all y values are -4) (0,-4)

f(1)=2(1)^2-4= (all y values are -2) (0,-2)

Factor the expression. 48 + 16x

correct answers get brainiest and 5 stars, wrong answers reported

Answers

8(6+2x)

hope that helps^^

I believe the answer is 16(3+x) or 8(2+3x)

Henrik is buying a television it has a 38 inch screen (this is the diagonal measurement). If it is 18 inches tall, how wide is the screen?

Answers

Answer:

18 inches

Step-by-step explanation:

In geometry the shorter side is the width.

Therefore 18 inches is the width.

(I didn't really get this question)

The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rectangle.

Answers

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 [tex]m^{2}[/tex]

From there

x * (2x - 4) = 70

[tex]2x^{2}[/tex] - 4x = 70

[tex]2x^{2}[/tex] - 4x - 70 = 0

[tex]x^{2}[/tex] - 2x - 35 = 0

Now we have a quadratic equation, which is  a[tex]x^{2}[/tex] + bx + c = 0, where a [tex]\neq[/tex] 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = [tex]-2^{2}[/tex]  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  [tex]\frac{- b - \sqrt{D} }{2a}[/tex] and [tex]\frac{- b + \sqrt{D} }{2a}[/tex]

[tex]x_{1}[/tex] =  [tex]\frac{- (-2) - \sqrt{144} }{2}[/tex] = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

[tex]x_{2}[/tex] = [tex]\frac{- (-2) + \sqrt{144} }{2}[/tex] = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

When I...
square my number ...
add three ...
divide by two and
add one
I get seven.
My number is:

Answers

3

3^2 = 9
9+3=12
12/2=6
6+1=7

17. Convert 37/6 to a mixed number.
A. 55/6
B. 6576
C. 6/6
D. 62/3

Answers

Answer:

6 1/6.

Step-by-step explanation:

That would be 6 1/6. Because 37/6 = 6 remainder 1, which is 1/6, so 6 1/6.

5. Simplify the expression.
-3+5n+14n+7

Answers

19n+4 is the answer to your question
Your answer would be 19n+4

Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end text. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which Mariana wears her winter coat.

Answers

Answer:

T < - 4°C

Step-by-step explanation:

Given that Mariana wears her coat only when temperature is colder than - 4°C

Recall that lower temperature values indicate higher degree of coldness ;

Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.

Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :

Temperature = T

T < - 4°C

Answer:

t < -4

Step-by-step explanation:

a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi​

Answers

You need two formulas for this:

C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius

A = πr² Where A is area, and r is radius

First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.

Answer:

[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]

Step-by-step explanation:

1. Find the Radius

We are given the circumference of 40.82 centimeters. The formula for circumference is

[tex]c=\pi d[/tex]

The diameter is twice the radius, so we can also write this formula as:

[tex]c= \pi 2r[/tex]

Substitute 40.82 for the circumference and use 3.14 for pi.

[tex]40.82 \ cm= (3.14) 2r[/tex]

[tex]40.82=6.28 r[/tex]

6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82

[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]

[tex]6.5 \ cm=r[/tex]

2. Calculate the Area

Now we can calculate the area using this formula:

[tex]a= \pi r^2[/tex]

The radius is 6.5 centimeters and we are using 3.14 for pi.

[tex]a= 3.14(6.5 \ cm)^2[/tex]

Solve the exponent.

(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²

[tex]a= 3.14 (42.45 \ cm^2)[/tex]

Multiply.

[tex]a=132.665 \ cm^2[/tex]

The area is 132.665 square centimeters.

Alternate interior and alternate exterior angles can be congruent

True or false

Plss answer

Answers

Answer:

it's false

Step-by-step explanation:

hope it's correct

Write the equation 6x – 3y = 9 in slope-
intercept form.

Answers

the answer to this question is y=2x-3

The Answer is is y=2x-3

Step-by-step explanation:

On coordinate plane point located at (- 1, - 2) and point K located at (8, 10) What is the distance, in units from point to point

Answers

Answer:

The answer would be 17

Step-by-step explanation:

Answer:

i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.

I hope this helps! :)

what does the E stand for in 3.1536e+17

Answers

Answer:

well e stands for like what you multiply

Step-by-step explanation:

like well here is an example y=16e and you have to find what e stands for so E=

e is a natural logarithm. It’s like pi, it has a value associated with itself.

The approximate value for e is 2.71828

Find and reduce -4/7 x 2/3

What is the answer to this?

Answers

Answer:

-8/21

Step-by-step explanation:

The answer to your asked question is -8/21

Decide if the ansewer to 7/5x11 is less than greater than or equal to 11. A.greater than B.less than C.equal to

Answers

Answer:

The answer to 7/5x11 is 15.4, so A. Greater than.

Step-by-step explanation:

7/5= 1.4, 1.4x11=15.4.

please help, first person with the right answer will be rewarded!!​

Answers

Suhana suhana suhana suha
step by step explanation:

PLS HELP 5TH GRADE MATH GIVING BRAINLIEST TO CORRECT ANSWER

Answers

9514 1404 393

Answer:

  line A

Step-by-step explanation:

The "+6" in the equation is the y-intercept. That is the point where the graph crosses the y-axis. Line A has a y-intercept of 6, so that is the graph of the equation.

Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm​

Answers

Answer:

86 cm is the perimeter

Step-by-step explanation:

y= 5x - 7
-3x - 2y = -12

Solve each system of equations using the substitution method

Give the solution in (x,y) form​

Answers

Point form: (2,3) and x=2 and y=3

1
How many cubes with side lengths of
3
cm does it take to fill the prism?
CON
cm
coln
cm
1 cm

Answers

Answer:

can you explain the question?

Step-by-step explanation:

What's the circumference of a circle with a radius of 22 inches

no round

Answers

Answer:

22π

Step-by-step explanation:

Ok so the equation for the circumference of a circle is diameter * pi, so you have diameter = 22 and you can plug that into the equation:

diameter * pi --> 22 * pi = 22π

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

How many solutions does this equation have?
10n + 8 = 3 + 10n

Answers

There are no values of x that make the equation true.
Answer: No Solution
The equation has 2 solutions: -0.8 and -0.3.

Explanation:

10n + 8 = 3 + 10n

10n+8 = 0 ............. (1)
3+10n = 0 ............. (2)

(1):
10n+8 = 0

10n = -8

n = -8/10 or -0.8

(2):
3+10n = 0

10n = -3

n = -3/10 or -0.3

What is the inequality for -8x>48

Answers

Answer: x<−6

Step-by-step explanation:

(cosec a + 1)*(1 - sin a)= cos a* cot a

Answers

Answer:

See proof below

Step-by-step explanation:

Given the equation, we are to prove that it is true

(cosec a + 1)*(1 - sin a)= cos a* cot a

From LHS

(cosec a + 1)*(1 - sin a)=

Expand

cosec a - cosecasina + 1 - sina

Since cosec a = 1/sina

1/sina - (1/sina)sina + 1 - sina

1/sina - 1 + 1 - sina

1/sin a - sina

Find the LCM

1-(sin^2a)/sina

cos^2a/sina

cosa * cosa/sina

cos a * cot a (which gives the RHS)

Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket

Find the slope, y-intercept and write the equation for this Linear Relationship. ​

Answers

Answer:

Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.

solve for the missing side,x

Answers

Answer:

7.44

Step-by-step explanation:

With reference angle 28°

perpendicular (p) = x

base (b) = 14 cm

Now

Tan 28° = p / b

0.532 = x / 14

x = 7.44

Hope it will help :)

Answer:

Step-by-step explanation:

Find the slope of any line parallel to the line through the given points (3,2),(3,1)

Answers

Answer:

the qoustion is not correct

Convert to equation: four times a number increased by 8 is 24 ​

Answers

Answer:

4*4

Step-by-step explanation:

since 4 times 4 is 16 then if you add 8 its 24

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