a =14.6 rounded to 1 DP
b= 3.25 rounded to 2 DP
Find the maximum of a - b

Answers

Answer 1

Answer:

11.405

Step-by-step explanation:

When rounding numbers, check the digit to the right of the one you're rounding to:

If it is 0, 1, 2, 3 or 4 round downIf it is 5, 6, 7, 8 or 9 round up

If a = 14.6 is rounded to 1 decimal place then:

minimum value of a = 14.55   (rounds up to 14.6)maximum value of a = 14.649999...   (rounds down to 14.6)

If b = 3.25 is rounded to 2 decimal places then:

minimum value of b = 3.245   (rounds up to 3.25)maximum value of b = 3.2549999...   (rounds down to 3.25)

Therefore, to find the maximum value of a - b, subtract the smallest value of b from the largest value of a:

[tex]\implies \sf a_{max}-b_{min}=14.649999...-3.245=11.405[/tex]


Related Questions

5. Sarah made 17 out of 25 free throws during practice. What percentage of free throws did she NOT make? A. 68% B. 58% C. 32% D. 36%​

Answers

Answer:

C. 32%

Step-by-step explanation:

The percent 17 is of 25.

17 of 25 can be written as:

17/25

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

17/25 * 100/100

= (17 * 100/25) * 1/100 = 68/100

Therefore, the answer is 68%

If Sara made 68% of her free shows, that means she didn't make 32% of her free throws (100 - 68 = 32).

Triangle congruence by SSS/SAS
State if the two triangles are congruent. If they are, state how you know.

Answers

Answer:

if all three side equal to another traingle than we can say SSS congruent criteria

if two side and one angle equal than we can say SAS criteria

Step-by-step explanation:

I hope it's helpful for you

<~~• ¥ Pls HELP me!! ¥ • ~~>

Answers

Answer:

18

Step-by-step explanation:

Area of a triangle: 0.5 x base x height

In this case: 0.5 x 9 x 4

hope this helps

have a good day

Answer:

Area =  18

Step-by-step explanation:

Formula

b*h /2

so

9 *4 /2

= 18

The time it takes Adam to drive to Disney World varies inversely with his
average rate of speed.
If it takes Adam 10.8 hours at an average speed
of 50 miles per hour, how long would it take him at
an average speed of 60
miles per hour?

Answers

The distance will remain constant. Then the time taken by Adam with an average speed of 60 miles per hour is 9 hours.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm Speed = \dfrac{Distance}{Time}\\\\\\[/tex]

The formula can be written as

Distance = Speed × Time

The time it takes Adam to drive to Disney World varies inversely with his average rate of speed.

If it takes Adam 10.8 hours at an average speed of 50 miles per hour.

If the average speed is 60 miles per hour, then the time taken will be

The distance will remain constant.

S₂ × T₂ = S₁ × T₁

60 × T₂ = 50 × 10.8

        T₂ = 9 Hours

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The ratio of the side length of a square to the square's perimeter is always 1 to 4.
Side lenght of square (inches): 1 ,___, ___, 7
Perimeter of square (inches). : 4, 8, 16, ____

Answers

Answer:

Side length of square (inches): 1 ,2, 4, 7

Perimeter of square (inches). : 4, 8, 16, 28

Step-by-step explanation:

Ratio is 1:4 (S:P).

So:

#:8, #=2. This is because 2/8 and 1/4 both = 0.25.

#:16, #=4. 4/16=0.25

7:#, #=28. 4x7=28, 7/28=0.25

Hope that helps

PLEASE HELP ME WITH THIS!!!

Answers

Answer:

B. 1

Step-by-step explanation:

imagining where 10 would be on the graph you can see that the line will cross with 1 missed shot

Answer the following.
Calculate the cost of carpet for the following room.
The room is 15 feet x 12 feet. The cost of the carpet is $2.99 per square foot and the cost of
the pad is $.50 per square foot. Installation costs are $.50 per square foot.

Answers

Answer:

I think the total is 628.20$

Step-by-step explanation:

15*12=180

180*2.99=538.2

180*.5=90

90+538.2=628.2

Hope this helped :)

Amna multiplies 38 by 4.

Should her answer be greater than or less than 4?

Answers

It should be greater not lesser

The function C (t) = StartFraction 4 t Over t squared + 2 EndFraction models the cost per student of a field trip when x students go on the trip. How is the parent function On a coordinate plane, 3 curves are shown. One curve opens up and to the right in quadrant 1 and goes through (2, 4) and (4, 1). Another curve approaches x = negative 2 in quadrant 2, changes direction at (0, 0), and then decreases in quadrant 4 and approaches y = 2. The third curve opens down and to the left in quadrant 3 and goes through (negative 4, negative 1) and (negative 2, negative 4). transformed to create the function On a coordinate plane, 2 curves are shown. One curve opens up and to the left in quadrant 2 and goes through (negative 4, 8) and (negative 6, 6). Another curve opens down and to the right and goes through (negative 1, negative 3), (0, 0), and (6, 3).?

Answers

Answer:

It is vertically stretched by a factor of 200 and shifted 10 units up.

Step-by-step explanation:

cool like that

It is vertically stretched by a factor of 200 and shifted 10 units up.

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

How do you write a function?

You write functions with the function name followed by the dependent variable.

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a 2-quart cartoon od chocolate milk costs 1.52 what is the price per cup

Answers

Answer:

The price per cup is $0.19

Step-by-step explanation:

In a quart there are 4 cups.

1.52÷4=0.38

But because there are 2 quarts you have to divide it by 2.

Which is 0.19

Thats the answer

Pls give Brainliest

Im desperate...

Find the total surface area of the triangular prism
shown below.
5 cm.
5 cm.
11 cm.
6 cm.

Answers

Answer:

Answer:

124.84

Step-by-step explanation:

A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )

≈ 124.84313

Step-by-step explanation:

A correlation coefficient of -0.85 means:

As one variable increases in value the other variable decreases in value

No relationship between the variables

As one variable increases in value the other variable also increase in value

Answers

Answer:

do you got an answer key

Step-by-step explanation:

If $1.35 is invested in an
account, find the amount of
money in the account after
10 years if it earns 1.15%
interest compounded semi-
annually.

Answers

Answer:

$1.51 is in the account after 10 years.

Step-by-step explanation:

Step 1: Identify the Type of Problem

We can see that this is a compound interest problem due to the phrase "earns 1.15% interested compounded" in the problem.

The formula for compound interest is as follows:

[tex]A=P(1+\frac{r}{n})^{n*t}[/tex] where:

A = final amount P = principal amount (in other words, the initial or first investment)r = interest rate (as a decimal)n = number of times interest is compounded per yeart = time (in years)

Step 2: Identify what we Know

Now that we have the formula we'll be working with, let's see what we know. From the problem, we can see:

A = ? (this is what we are solving for)P = $1.35r = 1.15% → 0.0115n = 2 (semi-annually means twice a year)t = 10 years

Step 3: "Plug and Chug"

Now, all we have to do is substitute the above values into our formula. Doing so, we get:

[tex]A=1.35*(1+\frac{0.0115}{2})^{2*10} \\= \bf \$1.51[/tex]

(Note: Since the answer is an amount of money, I have rounded to the hundreths place.)

Hope this helps!

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Where is the circumcenter of a right triangle located?
on the hypotenuse
on one of the legs
outside the triangle
inside the triangle

Answers

Answer:

on the hypotenuse

Step-by-step explanation:

Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle.

Solve the system of linear equations
x+y=4
-3x-y+-8

Answers

Answer:

y=3x+8

Step-by-step explanation:

Formula is L(x)=f(a)+f(a)(x-a)

This is for linearization

WHICH ONE?? NEED HELP ASAP

Answers

Answer:

DD

Step-by-step explanation:

If you distribute the 2 you get 12.2x + 14 so D

Which problem can be solved with 16 divided by one-eighth?

Answers

The value of the 16 divided by one-eighth is 48 after simplification of the fraction.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

We have:

16 divided by one-eighth.

Here the option is not given, but we can solve the above expression.

= 16 ÷ (1/8)

= 16×8  (after simplification)

= 48

Thus, the value of the 16 divided by one-eighth is 48 after simplification of the fraction.

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WILL MARK BRAINLIEST

Answers

Answer:

cot(t) = 56/33

Step-by-step explanation:

cot(t) = 56/33, because cot = adj/opp simple as that..

Given: sin = 4/5 and cos x = -5/13 ; evaluate the following expression.

cos( ∅ - x )

Answers

Answer:

[tex]\cos(\theta - x)=\dfrac{33}{65}[/tex]

Step-by-step explanation:

Given:

[tex]\sin\theta=\dfrac{4}{5}\implies \cos \theta=\dfrac{3}{5}[/tex]

[tex]\cos x=-\dfrac{5}{13}\implies \sin x=\dfrac{12}{13}[/tex]

Using the trig identity:

[tex]\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B[/tex]

[tex]\begin{aligned}\implies \cos(\theta - x) &=\cos \theta \cos x + \sin \theta \sin x\\\\&=\dfrac{3}{5} \cdot -\dfrac{5}{13} + \dfrac{4}{5} \cdot \dfrac{12}{13}\\\\&=-\dfrac{15}{65} + \dfrac{48}{65}\\\\&=\dfrac{33}{65}\end{aligned}[/tex]

sinø=4/5

so

cosø=3/5

And

cosx=-5/13

so

sinx=12/13

cos(ø-x)

sinøsinx+cosøcosx(4/5)(12/13)+(3/5)(-5/13)(48/65)-(15/65)48-15/6533/65

Here is a 15-by-8 rectangle divided into triangles.
8
9
6
Is the shaded triangle a right triangle?
no

Answers

The sides of the shaded triangle do not form a Pythagorean triple, therefore, it is not a right triangle.

What is a Right Triangle?

A triangle is a right triangle if the square of its longest side equals the sum of the square of the other two smaller sides, based on the Pythagorean Theorem.

Using the Pythagorean Theorem, find the lengths of the legs of the shaded triangle, and find out the sum of their squares equals the length of the longest side.

First leg of the shaded triangle = √(8² + 6²) = 10

Second leg of the shaded triangle = √(8² + 9²) = 12

The third side (longest side) of the shaded triangle is 9 + 6 = 15.

15² = 10² + 12²

225 = 244 (not true)

Therefore, the shaded triangle is not a right triangle.

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PLS HELP

Find the value of x and y

Answers

Answer: 'X' = 24 degrees

Step-by-step explanation:

5 times 'X' = 120 degrees (because the formula is base times height divided by 2).

120 divided by 5 = 'X'

                            = 24

'X' = 24 degrees

Where is the function f(x)=3x^2-6x-45/x^2-5x discontinuous, and what types of discontinuities does it have?

Answers

Answer:

Below.

Step-by-step explanation:

f(x)=3x^2-6x-45/x^2-5x

= 3x^2-6x-45 / (x(x - 5))

The denominator is zero when x - 0 and x = 5.

So there will be a vertical asymptote  at x = 0 and a hole at x = 5.

If we do the division  we get f(x)  = 3  remainder 9x - 45

so there will also be a horizontal asymptote where x = 3.

Answer:

Hole at (3, 4.8)

Asymptotes at x = 0 and y = 3

Step-by-step explanation:

[tex]f(x)=\dfrac{3x^2-6x-45}{x^2-5x}[/tex]

Factor the numerator:

[tex]\implies 3x^2-6x-45[/tex]

[tex]\implies 3(x^2-2x-15)[/tex]

[tex]\implies 3(x^2+3x-5x-15)[/tex]

[tex]\implies 3(x(x+3)-5(x+3))[/tex]

[tex]\implies 3(x-5)(x+3)[/tex]

Factor the denominator:

[tex]\implies x^2-5x[/tex]

[tex]\implies x(x-5)[/tex]

Factored form of function:

[tex]\implies f(x)=\dfrac{3(x-5)(x+3)}{x(x-5)}[/tex]

Discontinuity: a point at which the function is not continuous.

Holes

After factoring the rational function, if there is a common factor in both the numerator and denominator, there will be a hole at that point (x-value):

[tex]\implies (x-5)=0 \implies x=5[/tex]

Factor out the common factor from the function and input the found value of x into the new function to find the y-value of the hole:

[tex]\implies f(x)=\dfrac{3(x+3)}{x}[/tex]

[tex]\implies f(5)=\dfrac{3(5+3)}{5}=4.8[/tex]

Therefore, there is a hole at (5, 4.8)

Asymptotes

To find the vertical asymptotes, set the denominator of the new (factored) function to zero and solve:

⇒ Vertical Asymptote at x = 0

As the degrees of the leading terms of the numerator and denominator are equal (both x²), the horizontal asymptote is equal to the ratio of the leading coefficients.

⇒ Horizontal Asymptote at y = 3

Lines c and d are perpendicular. The slope of line c is −1/3. What is the slope of line d?

Answers

Answer:

1/3

Step-by-step explanation:

When two lines are perpendicular, it means the lines intersect at a right angle and have opposite reciprocal slopes.The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

To figure out d we need to use the formula:

- 1 / m

Plug in:

- 1 / - 1/3

Solve:

1/3

[tex]~~~~~~m_c \times m_d = -1\\\\\implies -\dfrac 13 \times m_d=-1\\\\\implies m_d = 3\\\\\text{The slope of line d is 3.}[/tex]

Which one of the following statements is not true.
A. Soil is the second layer of Earth's crust.
B. Metals can be extracted from minerals.
C. Oil is made from dead plants and animals.
D. Chemical weathering can break down rocks into fragments.

Answers

Answer:

I think c sorry if wrong

Step-by-step explanation:

have a good day

A car who travels 225km in 15 hours, what is the average speed?​

Answers

Answer:

= 15km/hour

Step-by-step explanation:

Distance = 225km
Time = 15 hours

We will divide distance over time and then we will get the average speed so the average speed will be = 15 km\hour.

Answer:

Below in bold.

Step-by-step explanation:

Speed = distance / time

= 225/15

= 15 km/hour.

Why does the shape of the moon appear to change over the course of about a month? (2 points)

Group of answer choices

The sun is always lighting up the same amount of the moon.

The sun is lighting up different amounts of the moon.

The moon changes shape over the course of a month.

The moon shrinks and grows bigger depending on the time of month.

Answers

B. The sun is lighting up different amounts of the moon

On a coordinate plane, the pre-image is shifted 2 units to the right and 1 unit up. It is rotated 90 degrees counterclockwise.
Which sequence of transformations produced the image?

Answers

Answer:B.

Step-by-step explanation:

B.a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin

PLEASE HELP ASAP A can has a radius of 1.3
inches and a height of 3.8 inches. What is the
volume of the can? (The volume of a cylinder
is V = Tr? where 7 ~ 3.14, r is the radius,
and / is the height.)

Answers

Answer:

V=20.17

Step-by-step explanation:

V=πr²h

=π1.3²×3.8

=20.17

difference of 2.4 − 1.8 = ________ by rounding each number to the nearest whole number.

Answers

do you mean 2.4-1.8=.6 >>> 1 (rounding at the end)

or

2-2=1 (or rounding the numbers then finding the difference.

how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.

Answers

Answer:

3(x+4)=36

You would multiply 3 times x and 4

3x+12=36

Subtract 12 from both sides

3x=24

x=8

Step-by-step explanation:

       [tex]\rule{289}{2}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

          how to solve [tex]\textsc{3(x+4)=36}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First of all, multiply the number before the parentheses by the expression inside the parentheses:-

[tex]\bigstar\sc{3\times x\times4}[/tex]

Which equals

[tex]\bigstar\textsc{3x+12}[/tex]

So the equation is:-

[tex]\square[/tex] [tex]\textsc{3x+12=36}[/tex]              Subtract 12 on both sides:-

[tex]\textit{3x=24}[/tex]                     Next, divide by 3 on both sides:-

[tex]\textit{x=8}\Huge\checkmark[/tex]

Good luck with your studies.

[tex]\smile\rule{300}{2}\smile[/tex]

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