A length is stated as 5 cm correct to the nearest cm. What is the lower bound?

Answers

Answer 1

Answer:

Lower bound = 4.5cm

Step-by-step explanation:

4.5cm is the lowest number that can be approximated to 5cm

Answer 2

The lower bound is the smallest value that will round to the given value.

The lower bound of 5cm is 4.5 cm.

What are the bounds of a number?

There is a lower bound and upper bound of a number.

The lower bound is the smallest value that will round to the given value.

The upper bound is the smallest value that would round up to the next value.

Example:

The lower and upper bound of the number 6 is 5.5 and 6.6.

We have,

Length = 5 cm

The lower bound is the smallest value that will round to the given value.

So,

we can have 4.5 as the lower bound since 4.5 is the smallest value that will round to 5.

The upper bound is the smallest value that would round up to the next value.

We can have 5.5 as the upper bound since 5.5 is the smallest value that will round to 6.

Thus,

The lower bound of 5cm is 4.5 cm.

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Related Questions

The following data points represent how many houses Gregg the Garbage Man visited each day last week.
12,28,33,37,23,14,9
use the data,and create a histogram

Answers

Answer:

Here we want to create a histogram of:

Number of houses Vs day.

First you need to create a rectangular coordinate axis.

In the x-axis you will divide the days as:

day 1, day2, day3 etc

in the y-axis you will measure the number of houses visited.

then, for the first day our height will be 12 units

for the second day, our height will be 28 units...

and so on.

Remember that for histograms you need to use columns.

Then, our histogram will look like:

At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?

Answers

Answer:

see below

Step-by-step explanation:

$11.60 for $5

1. Find the rate.

$11.60 divided by $5= $2.32

2. 1 gemstone= $2.32

Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.

Answer:

D) x/11.60= 1/5

Step-by-step explanation:

Solve the system of equations. x+y=2 and y=-1/4x²+3

Answers

Answer:

2 solutions:

(-2.899, 0.899) and (6.899, -8.899)

Step-by-step explanation:

x+y=2

y=-x+2

y=1/4x²+3

Graph both equations into graphing calculator

Graph in attachment shows solutions

Pls help me with trig! i would rlly appreciate

Answers

Answer:

c≤

Step-by-step explanation:

hypotenuse=√(a²+b²)=√(5²+6²)=√(25+36)=√61

cosθ=5/√61=5/√61× (√61/√61)=5√61/61

Answer:

[tex]6 \sqrt{61} \div 61[/tex]

is ans

Step-by-step explanation:

given, a=5 and b=6

as the refrence angle is thit

p=6 and b= 5

[tex]now \: h \: = \sqrt{p {}^{2} + b {}^{2} } [/tex]

[tex] = \sqrt{6 { }^{2} + 5 {}^{2} } [/tex]

[tex] \sqrt{61} = [/tex]

therefore h

[tex] = \sqrt{61} [/tex]

now cos thita =b/h

therefore cos thita=

[tex]6 \sqrt{61} \div 61[/tex]

...is ans..

Radium-226 was discovered by Marie-Curie in 1898.
The notebooks she used were contaminated with radium-226 and are still hazardous.
Explain why the notebooks are still hazardous. (2) *

Answers

Answer:

The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.

Step-by-step explanation:

Una importadora planea sus gastos para realizar la importación de 12 000 hasta 60 000 piezas de auriculares con aranceles y sin ellos. El precio de los auriculares antes del primero de septiembre de 2019 es de 96$ contemplando gastos de importación; el arancel de impuesto a ese producto es de 10%. Determina la expresión algebraica para modelar la compra de auriculares, indica si es una proporción directa o inversa.

Answers

Answer:

La expresión algebraica que representa la compra de los auriculares es [tex]c = 105.6\cdot n[/tex], existe una proporcionalidad directa.

Step-by-step explanation:

Existe un proporcionalidad directa, pues el coste total de importación aumenta conforme aumenta la cantidad de auriculares a importar. Esto es:

[tex]c \propto n[/tex]

[tex]c = k\cdot n[/tex]

Donde:

[tex]n[/tex] - Cantidad de auriculares a importar, adimensional.

[tex]c[/tex] - Coste total de importación, medido en pesos.

[tex]k[/tex] - Constante de proporcionalidad, medido en pesos.

La constante de proporcionalidad es igual al coste unitario del auricular más el impuesto de arancel, es decir:

[tex]k = 1.10\cdot (\$\,96)[/tex]

[tex]k = \$\,105.6[/tex]

Entonces, la expresión algebraica que representa la compra de los auriculares es:

[tex]c = 105.6\cdot n[/tex]

Choose the correct equation type for each system.

Answers

Answer:

first one

Step-by-step explanation:

A region is bounded by semicircular arcs constructed on the side of a square whose sides measure 2/\pi, as shown. What is the perimeter of this region?

Answers

Answer:

4

Step-by-step explanation:

The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:

Perimeter of region = 4 × Perimeter of semicircular arc.

The side of the square = diameter of the semicircle = 2/π.

The radius of semicircle = diameter/2 = [tex]\frac{2/\pi}{2} =\frac{1}{\pi}[/tex]

The perimeter of a semicircle = perimeter of a circle ÷ 2

[tex]Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\[/tex]

There are only green pens and red pens in the box.There are three more red pens than green pens in the box.Sheila is going to take at random two pens from the box.The probability that sheila will take two pens of the same colour is 17/35.Work out the two different numbers of green pens that could be in the box.

Answers

Answer:

6 or 9

Step-by-step explanation:

Let the number of green pens =x

There are three more red pens, therefore:

The number of red pens =x+3

Total Number of pens =x+x+3=2x+3

The probability that sheila will take two pens of the same color = [tex]\frac{17}{35}[/tex]

Therefore, we have that:

[tex]\text{P(two red pens)}=\dfrac{x+3}{2x+3} \times \dfrac{x+2}{2x+2}\\\\P(RR)=\dfrac{(x+3)(x+2)}{(2x+3)(2x+2)}[/tex]

[tex]P$(two green pens$)=\dfrac{x}{2x+3} \times \dfrac{x-1}{2x+2}\\\\P(GG)=\dfrac{x(x-1)}{(2x+3)(2x+2)}[/tex]

Therefore, the probability that sheila will take two pens of the same color

=P(RR)+P(GG)

[tex]\dfrac{(x+3)(x+2)}{(2x+3)(2x+2)}+\dfrac{x(x-1)}{(2x+3)(2x+2)}=\dfrac{17}{35}\\\dfrac{(x+3)(x+2)+x(x-1)}{(2x+3)(2x+2)}=\dfrac{17}{35}\\[/tex]

Cross multiply

[tex]35[(x+3)(x+2)+x(x-1)]=17[(2x+3)(2x+2)]\\35[x^2+3x+2x+6+x^2-x]=17[4x^2+4x+6x+6]\\35[2x^2+4x+6]=17[4x^2+10x+6]\\70x^2+140x+210=68x^2+170x+102\\70x^2-68x^2+140x-170x+210-102=0\\2x^2-30x+108=0[/tex]

Factorizing, we have:

[tex]2(x-6)(x-9)=0\\x-6=0$ or $x-9=0\\x=6$ or 9[/tex]

Therefore, the two different numbers of green pens that could be in the box are 6 or 9.

23. A 340 million square mile forest is how many hectares?

Answers

Answer: in 340 million square miles there are 8.808 x 10^10 hectares

Step-by-step explanation:

he price of a computer was decreased by 20% to £136.
What was the price before the decrease?

Answers

Answer:

The original price is 170

Step-by-step explanation:

Let x be the original price

x* .20 is the decrease

x - .20x = new price

.80x = new price

.8x = 136

Divide each side by .8

.8x/.8 = 136/.8

x =170

The full price is represented by 100%. If this computer was decreased by 20%, so it worth 80% now.

So, we can make a rule of three: 80% value is equals to 136, how much is 100%?

80% ------------ 136

100% ----------- x

Let's multiply "making a x":

[tex]80x = 136\cdot 100\\80x = 13.600\\x = \frac{13600}{80} \\x = 170[/tex]

Therefore, the price before the decrease was £170.

helllllllllllllllllpppppp meeeeeeeeeeee please i really need this Sabastian wanted to compare how much time his neighbors spend on the Internet to how much mail they receive in a week. He gathered data by surveying his neighbors. [ NOTE: He gathered data, so He Has it Already, do not go back in time...] Explain the steps Sabastian should take in order to analyze the data.

Answers

Answer:

Step-by-step explanation:

Step 1: Create a Survey

Step 2: Administer the Survey

Step 3: Collect responses.

Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.  

Step 5: Analysis

Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?

The step to analyze the collected data include plotting the data on an histogram

How to determine the steps?

From the question, we understand that the data has already been gathered.

The next step is to analyze the collected data.

This can be done in several ways.

One of them is as follows:

Sort the data in ascending orderDetermine the mean, median, mode and rangeDetermine the standard deviation and variancePlot the data on a chart (e.g. histogram)

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A line has____rotational symmetry,

Answers

Answer:

two-fold

Step-by-step explanation:

you can rotate it one other way for it to look the exact same, meaning there are a total of 2 ways to rotate it

Answer:

A line has two-fold rotational symmetry; A

Step-by-step explanation:

One fold when it is turned 180°

And another fold when it is turned 360°

Hope that helps!!

Using factor theorem, factorise x⁴-x³-7x²+x+6

Answers

Answer:

Add and subtract the second term to the expression and factor by grouping .

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

Answer:

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

Step-by-step explanation:

x⁴-x³-7x²+x+6=

x⁴-x³-x²+x -6x²+6=

x³(x-1)-x(x-1)-6(x²-1)=

x³(x-1)-x(x-1)-6(x-1)(x+1)=

(x-1)(x³-x-6x-6)=

(x-1)(x³-3x²+3x²-9x+2x-6)=

(x-1)(x-3)(x²+3x+2)=

(x-1)(x-3)(x²+x+2x+2)=

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

Which number is a factor of 51?

Answers

factors of 51 are  1, 3, 17,  51

Answer:

1 × 51 = 51

3 × 17 = 51

_________

1, 51, 3, 17 are all factors of 51!

51 is composite.


What percent of discount should be given in a doll costing Rs 180
such that a customer can buy at Rs 160?​

Answers

Answer:

11.11%

Step-by-step explanation:

So the question is:

$180 * (x)% = $y

Therefore $180 - $y = $160

Now:

180 - 160 = 20

Therefore; $20 is the discount

Now per cent of discount:

20/180 * 100 = 11.111111111111111111111%

therefore: per cent of discount is 11.11% (rounded to two decimal place)

Answer:

11.11 %

Step-by-step explanation:

Costing Price = Rs 180

Selling Price = Rs 160

Discount = C.P - S.P

=> 180-160

=> Rs 20

In %age:

=> [tex]\frac{20}{180} * 100[/tex]

=> 11.11 %

which statement is true about the value of /-5/

Answers

Answer:

-Absolute value is a measure of distance. 5 is in fact 5 units from 0 on the number line, just like +5.  Its all about distance, and there are 2 things in math that will NEVER be negative...distance/length and time.

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

The absolute value measures the distance from 0. In this case, since the number is -5, the absolute value will be 5 since -5 is 5 units away from 0.

Hope this helps!

What is the unit rate of each point (10,2.4) (15, 3.6) (17.5, 4.2)

Answers

Answer:

0.24

Step-by-step explanation:

Given the points (10,2.4) (15, 3.6) (17.5, 4.2)

The unit rate is the slope of the line joining any of the two points.

Using points (10,2.4)  and (15, 3.6)

[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]

=0.24

Using points (10,2.4)  and (17.5, 4.2)

[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]

Therefore, the unit rate for each point is 0.24

A survey asked people whether their pets are picky eaters. For these results,
are being a picky eater and being a dog independent or dependent events?
Justify your answer

Answers

Answer:

The probability for the dependent and the independent picky eater and not picky is similar in case of dependent variable and is different in case of independent variable.

Step-by-step explanation:

Independent variable is defined as the variables that are being manipulated, changed, or altered in a specific experiment or research in order to see its effect on the dependent variable.

The dependent variable is defined as the variable that is being measured or tested in a particular experiment or research by the investigator.

In the question above, as mentioned in the image or attachment, the probability of dog being picky or non-picky eater can be both dependent and independent in the different scenarios.

Drag each tile to the correct location on the algebraic problem. Not all tiles will be used. Fill in the missing steps and justifications used to solve the given equation.

Answers

RIGHT SIDE

3: Simplification

4: Subtraction property of equality

LEFT SIDE

4: 6x -7 + 7 = 12 + 7

7: x=19/6

Hope this helped!

<!> Brainliest is appreciated! <!>

Simplification

[tex]6x-7+7=12+7[/tex],  addition property of equality

[tex]x =\frac{19}{6}[/tex]

According to the given question.

We have a equation

[tex]4x-7=-2x+12[/tex]

The following steps which are required to solve the above equation are

Step 1:

[tex]4x - 7 = -2x + 12[/tex]   (given)

Step 2:

[tex]4x - 7+ 2x = -2x + 12 + 2x[/tex]    (addition property of equality)

Step 3:

[tex]4x - 7 + 2x = -2x +12+2x\\\implies 6x-7 = 12[/tex] (simplification)

Step 4:

[tex]6x -7 + 7 = 12 +7[/tex]                 (addition property of equality)

Step 5:

[tex]\implies 6x = 19[/tex]                                  (simplification)

Step 6:

[tex]\frac{6x}{6} =\frac{19}{6}[/tex]                                      ( division property of equality)

Step 7:

[tex]x = \frac{19}{6}[/tex]                                            (simplification)

Hence, the value of x in [tex]4x-7 = -2x + 12[/tex] is [tex]\frac{19}{6}[/tex].

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Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.

Answers

Answer:

From Dial it, we have plans of $16 per 2 gb.

then the ratio is (number of gb you get):price

in this case:

2:16 or we can reduce it to 1:8

this means that per each Gigabyte, you pay 8 dollars. 1:8

Ring Ring has plans of $9 per 1gb

then the ratio of gb to Dollars is 1:9

And the ratio between the prices of the companies is: 8 to 9 or 8:9

which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.

Answer:

Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.

Someone help me plz​

Answers

Answer: x = 3

Step-by-step explanation:

The area of a triangle is 1/2bh.  Thus, the area of the triangle is 30.  The area of a rectangle is lw.  Thus it is 10x here.  Thus, 10x = 30 and x = 3.

Hope it helps <3

Answer:

x = 3

Step-by-step explanation:

To find the area the area of a triangle is 1/2 b×h

that will be 1/2× 5×12 = 30

since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30

= 10x= 30 divide both sides by 10 = 3

so x = 3

What is the domain of the function shown in the graph?
8
6+
4+
2+
N1
+21
-4
-6
-8
A. Ico
B.-00 C. I > -1
D. 1 3 - 1

Answers

Answer:

all the answers are wrong

Answer:

x ≥ -1

Step-by-step explanation:

The domain is the possible input values or x values for this graph

X can be from 0 to infinity

The best choice out of the ones listed is

x ≥ -1

What is the slope of the line that goes through the points (1, -5) and (4, 1)

Answers

Answer:

D) 2

Step-by-step explanation:

Use the following slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (4 , 1)

(x₂ , y₂) = (1 , -5)

Plug in the corresponding numbers to the corresponding variables:

m = (-5 - 1)/(1 - 4)

Simplify. Remember to follow PEMDAS. First subtract, then divide:

m = (-5 - 1)/(1 - 4)

m = (-6)/(-3)

m = 2

D) 2 is your answer.

~

Which of the following is equivalent to 18 minus the square root of -25

Answers

Answer:

Undefined

Step-by-step explanation:

Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.

Answer:

18-5i

Step-by-step explanation:

I can't see the answer choices but all you have to do is simplify this equation.

18-√-25

What is the square root of -25?

Well first we make the -25 into 25 because we can't do anything with a negative.

So square root of 25 is 5

Now plug 5 into the equation

18-5

Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.

Hope this Helps!

help plz. I will give brainliest (:

Answers

Answer:

f(2)=g(0) and f(0)=g(4)

3rd option for the second pic

Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D.

Answers

Answer:

The answer is given below

Step-by-step explanation:

The addition postulate for line segment states that if we have points A, C and a point B on line AC, The distance between points A and C can be given as:

AC = AB + BC

Point A is at -6, point B is at -1, point C is at +2 and point D is at point 8.

Therefore using line segment postulates:

AD = AB + BC  + CD

But AB = -1 - (-6)= -1 + 6 = 5

BC = 2- (-1) = 2 +1 = 3

CD = 8 - (+2) = 8 - 2 = 6

Also AD = 8 - (-6) = 8 + 6 = 14

To prove AD = AB + BC  + CD

AD = 5 + 3 + 6 = 14

Problemas de algoritmo a, um buso se encuentra a 12m bajo el nivel del mar ,si sube 3 m ,cual sera su nueva posicion ,rrepresenta numeros enteros,positivo y negativo

Answers

Answer:

9 metros bajo el nivel del mar

Step-by-step explanation:

Aquí, tenemos un autobús que está a 12 metros bajo el nivel del mar.

Ahora, el autobús ganó algo de altura y subió 3 metros hacia arriba Debemos entender que el autobús todavía está bajo el nivel del mar pero a un nivel más alto en relación con el fondo del mar.

Por lo tanto, la altura del autobús sería + 3 + (-12) = 3-12 = -9 Esto muestra que el autobús todavía está a 9 metros bajo el nivel del mar.

Factor 10x2 − 17x + 3.

Answers

Answer:

(2x-3)(5x-1)

Solution,

[tex]10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)[/tex]

Hope this helps..

Good luck on your assignment...

A movie theater has a seating capacity of 153. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1100, How many children, students, and adults attended? Children Attended= ? Students Attended= ? Adults Attended=? PLEASE ANSWER ASAP

Answers

Answer:

x (children) = 58

y (students) = 66

z (adults) = 29

Step-by-step explanation:

Step 1: Write system of equations

x + y + z = 153

5x + 7y + 12z = 1100

1/2x = z

The best way to solve the systems of equations is to use an augmented matrix:

Top row: [1 1 1 | 153]

Middle row: [5 7 12 | 1100]

Bottom row: [1/2 0 -1 | 0]

And then put it in RREF form:

Top row: [1 0 0 | 58]

Middle row: [0 1 0 | 66]

Bottom row: [0 0 1 | 29]

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Regarding voting and other forms of political participation, the people of TexasGroup of answer choicesa) re only very vocal.b) are very active.c) are generally uninterested.d) expect one another to participate.e) participate vigorously. Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are alternate exterior angles with angle 11? Angle5 and Angle13 Angle7 and Angle15 Angle6 and Angle16 Angle8 and Angle14 Why is the slope of line segment AC the same as the slope of line segment DF in the figure below? A.because AB/EF=BC/DE? ...................................B.because AB/DE=BC/DF ?...............................C.because AB=EF ?...............................D.because BC=DE?............................ Which symptoms are a sign you are addicted to nicotine? Check all that apply. You have your first cigarette soon after waking up. Cutting back produces headaches. You tried to quit, but started smoking again after four days. You stop smoking when youre sick. You will choose buying lunch over buying a pack of cigarettes. Find the terminal velocity (in m/s) of a spherical bacterium (diameter 1.81 m) falling in water. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.10 103 kg/m3. (Assume the viscosity of water is 1.002 103 kg/(m s).) HURRY PLZZ!!! THIS IS 90 POINTS!!! I WILL MARK BRANLYEST!!!! 2. A ladder is leaning against the outside wall of a building. The ladder is exactly 10 feet long and makes an angle of 60 with the ground. Lets find the height the ladder reaches along the building. Label this height as x in your diagram. e. Use your calculator to find the value of sin 60. In your equation, replace sin 60 with this number, and solve your equation to find the height up the wall. f. Now lets figure out how far the base of the ladder is from the building. Label this distance as z in your diagram. i. Which trig ratio (sin 60, cos 60, or tan 60) would be most helpful for finding z? _________ Explain. ii. Write and solve a trig equation to help you find z (Use #1d as a guide.) The slope of a line passing through (-9, 10) and (-9, -9) is... What is the scale factor of ABC to DEF? If the graph of the function y = f(x) is compressed horizontally by 3, and then reflected across the y -axis , then the resulting graph is the graph of the function :(a) y = -f(3x) (b) y = f(-3x) (c)y=-f(1/3x)(d) y = -f(1/3x)(e) none answer the following question Which statement about the roots of the word counterintuitive is correct?a) One of the roots in the word counterintuitive is counter-, which means contrary.b) One of the roots in the word counterintuitive is intuitive, which means ignorant.c) One of the roots in the word counterintuitive is counter-, which means surface.d) One of the roots in the word counterintuitive is intuitive, which means insightful.