A number p, when truncated to 1 decimal place, is equal to 14.3
Find the upper and lower bound of p.
Lower bound =
Upper bound=
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Answers

Answer 1

The lower bound of [tex]\(p\) is \(14.25\)[/tex] and the upper bound is [tex]\(14.35\).[/tex]

The given truncated number is [tex]\(14.3\)[/tex]. To find the upper and lower bounds of [tex]\(p\)[/tex], we need to consider the possible range of values that could round to [tex]\(14.3\)[/tex] when truncated to 1 decimal place.

Lower bound: To find the lower bound, we need to consider the greatest number that rounds down to [tex]\(14.3\)[/tex]. This is obtained by subtracting 0.05 from the given truncated number:

[tex]\(\text{{Lower bound}} = 14.3 - 0.05 = 14.25\)[/tex]

Upper bound: To find the upper bound, we need to consider the smallest number that rounds up to [tex]\(14.3\)[/tex]. This is obtained by adding 0.05 to the given truncated number:

[tex]\(\text{{Upper bound}} = 14.3 + 0.05 = 14.35\)[/tex]

Therefore, the lower bound of [tex]\(p\) is \(14.25\)[/tex] and the upper bound is [tex]\(14.35\).[/tex]

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Answer:

Slope: 2

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Step-by-step explanation:

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Answer:

9.

Step-by-step explanation:

You are 9 ( 9 = 3*3 so it is composite).

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Step-by-step explanation:

because 9 is not a multiple of 2, it is less than 10, and  it is also a composite #

A recipe calls for 2 1/4 teaspoons of baking soda. If the recipe is tripled how much baking soda is needed

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Answer: it wold be 6 3/4 teaspoons

Step-by-step explanation:

Evaluate [(51 + 3) − 32] ÷ 9 ⋅ 2.

Answers

Answer:

2.39130435

Step-by-step explanation:

[(51+3)-32]÷9.2

[54-32]÷9.2.

22÷9.2

2.39130435

[(51 + 3) - 32] / 9 * 2
work on the problem in the parenthesis, then brackets
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work from left to right
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Enter the correct answer in the box. Consider the graph of the sixth-degree polynomial function f. Replace the values b, c, and d to write function f.
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Answers

Answer: (x - 1)(x + 1)^2(x - 4)^3

Step-by-step explanation:

First, remember that:

in expressions like: (x - b)^n

b is the value of x where the graph intersects the x-axis.

n can represent:

n = 1, the line just goes through the x-axis

n = 2, the line may change the direction (an inflection point), and touch the x-axis in one point.

n = 3, the line may have two inflection points when it intersects the x-axis.

Then we have the expression:

(x-b)(x-c)^2(x-d)^3

b is in the linear part, the graph crosses the x-axis linearly in x = 1.

c is in the quadratic part, the graph crosses the x-axis with one point of inflection at x = -1.

d is in the cubic part, the graph crosses the x-axis with two inflections in x = 4.

Then we can writhe the polynomial as:

f(x) = (x-1)(x-(-1))^2(x-4)^3 = (x - 1)(x + 1)^2(x - 4)^3

Answer:

(x - 1)(x + 1)^2(x - 4)^3


The top of a house is 32 feet above ground. The basement floor is 12 feet below
ground. What is the distance between the top of the house and the basement floor

Answers

12 feet below would be -12. from -12 to 0 would be 12 feet.

from 0 to 32 above would be 32 feet.

Total distance = 12 + 32 = 44 feet.

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Answer: B

Step-by-step explanation:

The line is curved which makes it a non-linear function.

the answer you are looking for is B

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Answer:

*******........................?????????

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Carmen takes 1 breath every
4 seconds. How many breaths will she take
in 1 minute?

Answers

Answer:

15

Step-by-step explanation:

60/4 =15

Answer:

15 breaths

Step-by-step explanation:

60 divided by 4 is 15

Mhm sorry but I need help on this

Answers

Answer:

x>2

Step-by-step explanation:

Answer:   [tex]x \ge 2[/tex]

The x part is already taken care of, so you'll fill the rest into the box.

On a keyboard you could type x >= 2 to mean [tex]x \ge 2[/tex]

=====================================================

Explanation:

We have a closed or filled in circle at x = 2. This means 2 is included in the shaded region solution set. So we'll have "or equal to" as part of the inequality.

We'll also have "greater than" because how the shading is to the right of the closed circle.

So put together that's why the graph represents [tex]x \ge 2[/tex]

Something like x = 5 is a solution because [tex]5 \ge 2[/tex] is true

Something like x = 0 is not a solution because [tex]0 \ge 2[/tex] is false

A line is given by the formula y=x+2. Determine which of the following points belong to its graph: M(0, 2),N(1, 3), A(−1, 1), B(−4.7, −2.7), C(−2 1/2 , 1/2 ).

Answers

Answer: M, N, A, B

Step-by-step explanation:

Plug in x-value (add 2 to x-coordinate) and see if it matches the y-value. Only C isn’t on the graph because -2.5+2=-0.5, not positive 0.5.

Compare 9 ⋅ 104 with 3 ⋅ 102

Answers

Answer:

1. 936

2. 306

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Step-by-step explanation:

Please SImplify and Make A fraction!

Answers

Answer:

-8/7

Step-by-step explanation:

In fraction form, division means reversed multiply.

You have -3/7 divide 3/8 which also means -3/7 multiply by 8/3, which will be -24/21. The common factor of 24 and 21 is 3 so we simplify both the numerator and denomitator by 3 and the final answer will be -8/7.

the negative sign can be read as the opposite of?

True or false

Answers

Answer:

True the - sign can be read as the opposite of

Step-by-step explanation:

This is true when the problem is written as -(x)

- (x) would be the opposite of x

It is not always read as the opposite of but it can be

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Answers

Answer:

301 is your answer

The answer to your question is 301. You take 903 and divide it by 3 either in a calculator or do long division which would look like this:

For small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g-L=aL(t-T), where g is the length of the object at temperature t,and L is the length at temperature T,and a is a constant which depends on the type of metal a) express g as the linear function of t.Find the slope and vertical intercept in terms of L,T,a

Answers

Answer:

[tex]g(t) = aLt - aLT + L[/tex]

[tex]Slope = aL[/tex]

The vertical component is: [tex]L - aLT[/tex]

Step-by-step explanation:

Given

[tex]g - L = aL(t - T)[/tex]

Solving (a): Write g as a function of t

[tex]g - L = aL(t - T)[/tex]

Open Bracket

[tex]g - L = aLt - aLT[/tex]

Add L to both sides

[tex]g - L + L= aLt - aLT + L[/tex]

[tex]g= aLt - aLT + L[/tex]

Represent as s function

[tex]g(t) = aLt - aLT + L[/tex]

Since the function is a function is t:

The slope is the coefficient of t;

Hence:

[tex]Slope = aL[/tex]

To get the vertical intercept, we set t to 0

[tex]g(0) = aL * 0 - aLT + L[/tex]

[tex]g(0) = - aLT + L[/tex]

Hence, the vertical component is: [tex]L - aLT[/tex]

Team A has 12 more points than team b team A has 5 times as much points as team b

Answers

Answer:

make no sense

You decide to go to the movies for your birthday. You need to buy 8 student tickets and 2 adult tickets. If student tickets are $10.68 and adult tickets are $13.68, how much do the tickets cost in total?

Answers

Answer:

$112.80

Step-by-step explanation:

You are buying 8 student tickets, each costing $10.68. Multiply 8 with 10.68:

10.68 x 8 = 85.44

You are buying another 2 adult tickets, each costing $13.68. Multiply 2 with 13.68:

13.68 x 2 = 27.36

Next, add the two costs together:

27.36 + 85.44 = 112.80

$112.80 is your total cost.

~

Answer:

112.80

Step-by-step explanation:

multiply 8 by 10.68 and 2 by 13.68 add together

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Answers

Answer:

-1/2 or no solution (depends on what the teacher is asking)

Step-by-step explanation:

2x*2 - 4x = 2

combine like terms

-2x*2=2

divide by 2

-2x=1

divide by -2

x= -1/2

3.2 divided by 592.8

Answers

Answer:

0.0005

Step-by-step explanation:

       0 0. 0 0 5

5 9 2 8 3 2. 0 0 0

     − 0        

       3 2      

     −   0      

       3 2 0    

     −     0    

       3 2 0 0  

     −       0  

       3 2 0 0 0

     − 2 9 6 4 0

         2 3 6 0

1.3.12
The coordinates of point T are (0,2). The midpoint of ST is (1, -5). Find the coordinates of point S.

Answers

Answer:

(0.5,-1.5)

Step-by-step explanation:

this is the numbers i got when I put it in...

m=([tex]{-\frac{1+0}{2} , \frac{-5+2}{2}[/tex])

(0.5,-1.5)

Answer:

S = (2, - 12 )

Step-by-step explanation:

Using the midpoint formula

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Equate each of the coordinates of the midpoint

let S = (x, y ), then

(x₁, y₁ ) = T(0, 2) and (x₂, y₂ ) = S(x, y ), then

 [tex]\frac{0+x}{2}[/tex] = 1 ( multiply both sides by 2 )

x = 2

[tex]\frac{y+2}{2}[/tex] = - 5 ( multiply both sides by 2 )

y + 2 = - 10 ( subtract 2 from both sides )

y = - 12

S = (2, - 12 )

Shaun drew 6 plus signs and 3 dots on his paper. What is the ratio of plus signs to the total number of plus signs and dots

Answers

Answer:

2:1

Step-by-step explanation:

6 divided by 3 is 2

and 3 divided by 3 is 1

Answer:

2;3

Step-by-step explanation:

6 plus signs

6 plus signs+ 3 dots= 9 plus signs and dots

6;9 is the ratio of dots and plus signs to the plus signs

If you simplify it is 2;3

a baker made 35 pastries in 3 1/2 hours. how many pastries dod the baker make in one hour?

Answers

Answer:

10 pastries

Step-by-step explanation:

To find how many they made in 1 hour, divide 35 by 3 1/2

35/3.5

= 10

So, he made 10 pastries in 1 hour

The pastries dod the baker make in one hour is 10 pastries.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that a baker made 35 pastries in 3 1/2 hours.

In order to find how many they made in 1 hour,

Divide 35 by 3 1/2

35/3.5

= 10

Therefore, he made 10 pastries in 1 hour.

The pastries dod the baker make in one hour is 10 pastries.

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Please help I got 30 mins left

Answers

Answer:

I think the correct answer is C

Please respond ASAP (Free response be specific and explain ! thanks )

Answers

Answer:

No it's not, because a square has all the sides equal, but this hasn't, therefore it's not a square

The perimeter of a rectangle must be less than 196 feet. If the length is known to be 56 feet, find the range of possible widths for the rectangle. (Note: The formula for the perimeter of a rectangle is P=2l+2w , where l is the length and w is the width).

Answers

Answer:

< 42

Step-by-step explanation:

Given that :

Perimeter of a rectangle(P) = 2l + 2w

where l is the length and w is the width

P = 2(l + w)

P must be less than 196 feets

Length (l) = 56 feets

Range of possible widths :

196 = 2(56 + w)

196 = 112 + 2w

196 - 112 = 2w

84 = 2w

w = 42

Hence, the width must be less than 42

< 42

PLEASE HURRY According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exactly 2 voters will be in favor of the ballot initiative? Round the answer to the nearest thousandth.


P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction

0.024

0.031

0.132

0.309

Answers

Answer:

0.309

Step-by-step explanation:

→ Utilise the binomial distribution formula

[tex]p=nCr*p^{n} *q^{n-r}[/tex]

→ It first will be 5C2 as there is 5 possible voters but he wants 2 voters

[tex]p=5C2*p^{n} *q^{n-r}[/tex]

→ Then it will be [tex]0.3^{2}[/tex] as the probability they are in favour is 0.3 and we get the n from the 2 number for the 5C2

[tex]p=5C2*0.3^{2} *q^{n-r}[/tex]

→ There for q will be 0.7 as it is the other probability left and the power will be 3 as it is n - r

[tex]p=5C2*0.3^{2} *0.7^{3}[/tex]

→ Then getting 0.3087 which is 0.309

Answer:

Option D) 0.309

Step-by-step explanation:

Correct on edge


Sanad has a piece of wood that is 3/4 of a meter in length. He needs to cut pieces that are 1/16 of a meter long. How many pieces can Sanad cut?

Answers

Answer:

12

Step-by-step explanation:

The answer is a complex fraction division. The easiest way to do it is likely to convert both fractions to a decimal.

3/4 = 0.75

1/16 = 0.0625

Now do a division

0.75 / 0.0625 = 12

===============

You could do it the old fashioned way by doing a division of fractions.

3

----

4

======

1

-----

16

Invert the bottom fraction and multiply by the top fraction.

1/16 inverted becomes 16/1

3          16

===x  =====

4           1

48/4 = 12

I think you will agree that the first method is a bit easier.

What is the surface area of the shape?

Answers

I believe the surface area would be the two measurements up top multiplied.
7 ft * 9.4 ft which would equal 65.8 ft
I found this by using the formula A=L*W

Create a quadratic equation where the graph will open downward and the vertex (5,12).

Answers

Answer:

The quadratic equation is y = - (x - 5)² + 12

Step-by-step explanation:

The vertex form of the quadratic function is

y = a(x - h)² + k, where

(h, k) are the coordinates of its vertex pointa is the coefficient of x²If a > 0, then the graph of it is open upward and the vertex point will be a minimum point.If a < 0, then the graph of it is open downward and the vertex point will be a maximum point.

In the question

∵ The graph is open downward

a < 0 (a is a negative number)

∵ The vertex point is (5, 12)

h = 5 and k = 12

Substitute them in the form of the equation

∴ y = a(x - 5)² + 12

→ To find a you must have a point on the graph of it to substitute

   x and y by its coordinates. because we don't have a point on

   the graph we can choose a any negative number.

∵ a is a negative number, let us choose it -1

∴ y = - (x - 5)² + 12

The quadratic equation is y = - (x - 5)² + k

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