What is the Solution to 1-x<5

Answers

Answer 1

[tex]~~~~~1-x < 5\\\\\implies -x < 5-1\\\\\implies -x < 4\\\\\implies x > -4\\\\\text{Interval notation:}~ (-4, \infty)[/tex]


Related Questions

Latonya works in a factory where she makes crispy snacks. first, she uses a machine that forms large 100 lb blocks of crispy. she cuts one block evenly into bars that each weigh 8oz. these bars are then pressed into a mold that creates 2 flat square wafers that each weigh 3oz. the left over waste material is put into recycle bins to be used elsewhere. these flat squares are then packed into bags of 5 which are sealed and finally packed into boxes, each containing 14 bags ready to be sent out to the stores. how much weight out of the original 100 lb block as a % is contained in the completely filled boxes (i.e. those containing a full 14 bags)?

Answers

The percentage of the original block cookie that is packaged and ready to be distributed to stores is: 12.6%.

How to calculate the biscuit percentage of the original biscuit that is packaged?

To calculate the percentage of the original 100lb cookie that is packaged and ready to be distributed, we must perform the following operations:

We must calculate how much each package of 5 cookies weighs, for this we multiply the weight of each cookie (3 ounces) 0.18 pounds by the number of cookies in each package (5).

0.18lb × 5 = 0.9 lb

Next, we need to calculate how much the box containing 14 packages of cookies weighs by multiplying the weight of each package (0.9 lb) by the number of packages in each box (14).

0.9lb × 14 = 12.6 lb

Lastly, we need to calculate how much percentage the weight of each box is equal to the weight of the original 100 lb cookie that Latonya made. For that we divide 100 lbs. by 100 and multiply the result by the final weight of the box (12.6lbs).

100lbs ÷ 100 = 11 × 12.6 = 12.6%

Based on the above, each box contains 12.6% of the first 100-lb cookie Latonya made.

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The circumference of the hub cap of a tire is 80.07 centimeters. find the area of this hub cap. use
3.14 for it. if the circumference of the hub cap were smaller, explain how this
would change the area of the hub cap.
the area of this hub cap is about how many
square centimeters?

Answers

The area of this hub cap is about  510.44625 cm².

What is Area of Circle?

The area of circle is pi times the square of the radius.

Area of circle =π r²

Circumference (C) = 2π r

80.07 = 2 (3.14) r

76.87/ (2x 3.14) =r

r = 12.75 cm

now, Area be

=π r²

= 3.14*12.5*12.75

=510.44625 cm²

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Abrianna sold 20, 23, 18, 4, 17, 21, 15, and 56 boxes of cookies after different football games. Which data value(s) are outliers? Select all that apply.

Answers

The data values that are outliers are 4 and 56.

What is an outlier?

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier distorts the mean and median of the dataset.

In this data, 4 is smaller than the average of the data set and 56 is larger than the average numbers. They are the outliers.

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A polynomial function is represented by the data in the table. choose the function represented by the data.
choose the function represented by the data.

Answers

The polynomial function represented by the data is equal to D. f(x) = −x² + 10.

How to determine the polynomial function?

In order to determine the polynomial function represented by the data, we would substitute the value of x (-3) into the given set of functions as follows:

For option A, we have:

f(x) = 6x + 15

f(-3) = 6(-3) + 15

f(-5) = -18 + 15

f(-5) = -3 (False).

For option B, we have:

f(x) = -6x - 45

f(x) = -6(-3) - 45

f(x) = 18 - 45

f(x) = -27 (False).

For option C, we have:

f(x) = x² - 40

f(x) = -3² - 40

f(x) = 9 - 40

f(x) = -31 (False).

For option D, we have:

f(x) = −x² + 10

f(x) = −(-2)² + 10

f(x) = −9 + 10

f(x) = 1 (True).

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Complete Question:

A polynomial function is represented by the data in the table.

x = -5, -4, -3, -2, -1

f(x) = -15, -6, 1, 6, 9

Choose the function represented by the data.

A. f(x) = 6x + 15

B. f(x) = −6x − 45

C. f(x) = x² − 40

D. f(x) = −x² + 10

Select all the correct locations on the image.
Identify which functions have complex roots by selecting the function names on the provided coordinate plane

Answers

The functions have complex roots from the image are

Functions (b) and (d). This is further explained below.

What is Function?

Generally, Function is simply defined as a connection between two or more variables that may be expressed mathematically.

In conclusion,  Functions with graphs that never touch or cross the x-axis are said to have complicated roots, not real ones.

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You decide to buy a car that costs $10,000. The normal depreciation for such a car is 5% per year. How much will the car be worth in 2 years?​

Answers

Answer:

11,000

Step-by-step explanation:

10% of 10,000 is 1,000 so 5% is 500 and add 2 of 5% you get 1,000 and add it to the old price thus you get 11,000.

Solve for x. Figures are not necessarily drawn to scale.

Answers

Answer:

13.2 units

Step-by-step explanation:

12 is to 7.2 as   (12+10) is to x

12/7.2   =  (12+10)/x

x = 22 * 7.2/12 = 13.2 units


4. In how many ways can all of the letters of the word NUMBERS be arranged if it
start with a consonant and end with a vowel? /2

Answers

Answer:

2400 words

Step-by-step explanation:

First choose the first letter. You have 5 choices of consonant for this.

Next choose the last letter. You have 4 remaining consonants for this.

Now you have 5 remaining letters which can be placed in any order.

So the answer will be:

5⋅4⋅5!

20⋅120

2400

What does the graph of the parametric equations x(t)=2−t and y(t)=(t+3)^2, where t is on the interval [−4,0], look like? Drag and drop the answers to the boxes to correctly complete the statements.

Answers

The graph state that the initial point is (6.9), and the terminal point is (2,1). The vertex of the parabola is  (3,0). Arrows along the parabola to indicate motion right to left.

What is the parametric equations about?

Let take x = 4 - t    =t  =  4 - x       as equation  (1)

And y = (t - 1)^2       as equation (2)

Then input equation  (1)  into equation   (2)

y  = ( 4 - x - 1)^2

y = ( 3 - x)^2

y = ( x - 3)^2

So therefore, y = a ( x -3)^2  +  0

It can be written as y  = a(x - h)^2  + k      

Where, a = 1    

The vertex  known to be (h, k)  will be = (3,0).

The starting point is  if t = -2

Therefore, x  = (4 - -2)   = 6      

  y =  (-2 - 1)^2  = (-3)^2    = 9  

So x, y =  (6,9).

Note that if t  = 2

Then x = (4 - 2) =  2      

  y  =  (2 - 1)^2   = 1^2  

=  1    

Therefore, x, y =(2, 1).

Therefore, The graph of the parametric equations  state that the initial point is (6.9), and the terminal point is (2,1). The vertex of the parabola is  (3,0). Arrows along the parabola to indicate motion right to left.

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What does the graph of the parametric equations x(t)=4−t and y(t)=(t−1)^2, where t is on the interval [−2,2], look like?

The parametric equations graph as a portion of a parabola. The initial point is _____, and the terminal point is _____. The vertex of the parabola is ____. Arrows are drawn along the parabola to indicate motion ____.

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[urgent] the area of a circle is 40. if the circle is dilated by a scale factor of 3, how much does the area grow?

Answers

The area of the circle grows by a factor of 9, and the actual area is 360

How to determine the new area?

The given parameters are:

Old area = 40

Scale factor = 3

When the circle is dilated, the new area becomes

New area = Old * (Scale factor)^2

Substitute 3 for scale factor

New area = Old * 3^2

Evaluate the exponent

New area = Old * 9

This means that the area of the circle grows by a factor of 9, and the actual area is:

New area = 40 * 9 = 360

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What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

A:–12 – 20x ≤ –6x + 9
B:–12 – 20x ≥ –6x + 9
C:–12 + 20x ≤ –6x + 9
D:–12 + 20x ≥ –6x + 9

Answers

D btw I'm sick of this 20 rule of brainly

The correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9 is,

⇒ - 12 + 20x ≥ - 6x + 9

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ - 4(3 - 5x) ≥ - 6x + 9

Now, We can simplify as;

⇒ - 4(3 - 5x) ≥ - 6x + 9

⇒ - 12 + 20x ≥ - 6x + 9

⇒ 20x + 6x ≥ 12 + 9

⇒ 26x ≥ 21

⇒ x ≥ 21/26

Thus, The correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9 is,

⇒ - 12 + 20x ≥ - 6x + 9

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which 2 numbers have a mean of 10 and a range of 12

Answers

Answer:

Step-by-step explanation:

16 - 4 = 12

16 + 4 = 20

then 20 ; 2 = 10

Half of 12 is 6, therefore the two numbers 10 - 6 = 4 and 10 + 6 = 16 will have a mean of 10 and a range of 12.

1. Write the point where the linear equation 3x + 4y = 12 cuts the x-axis.​

Answers

Answer:

(4,0)

Step-by-step explanation:

The point where the line cuts the x-axis is called the x-intercept.

x-intercept is when y = 0.

So given y = 0,

3x+4(0) = 12

3x =  12

x = 12/3

x = 4

therefore the point is (4,0)

The vale’s in the table represent a linear function

Answers

Answer:

B

Step-by-step explanation:

an arithmetic squeegee is defined by

an = an-1 + d

that means that every term of the sequence is created by adding a constant d (the common difference) to the pervious term.

so, we get the common difference by caucuses the difference of 2 neighboring terms.

e.g.

a1 = 9

a2 = 22

a2 - a1 = 22 - 9 = 13

so, B. 13 is the right answer.

as a quick check if it is truly an arithmetic sequence, we can look, if all the other pairs have the same difference.

yes, they do. the difference is always 13.

Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).

Answers

Answer:

Step-by-step explanation:

A line perpendicular to the given line has a slope that is the negative inverse of the reference line.  

Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.

2x + 3y = 4

3y=-2x+4

y = -(2/3)X + (4/3)

The reference slope is -(2/3).  The negative inverse is (3/2), which will be the slope of a perpendicular line.  We can write the new line as:

y = (3/2)x + b

Any value of b will still result in a line that is perpendicular.  But we want a value of b that will shift the line so that it intersects the point (-3,-5).  Simply enter this point in the above equation and solve for b.

y = (3/2)x + b

-5 = (3/2)(-3) + b

-5 = -(9/2) + b

-5 = -4.5 + b

b = - 0.5

The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is

y = (3/2)x - 0.5

Match the following items by evaluating the expression for x = -7. x-2 x-1 x0 x1 x2

Answers

Answer:

[tex] {x}^{ - 2} = \frac{1}{ {x}^{2} } \: \: –> {7}^{ - 2} = \frac{1}{ {7}^{2} } = \frac{ 1}{49} \\ \\ {x}^{ - 1} = \frac{1}{ {x}^{1} } \: –> {7}^{ - 1} = \frac{1}{ {7}^{1} } = \frac{1}{7} \\ \\ {x}^{0} –> {7}^{0} = 1 \\ \\ {x}^{1} –> {7}^{1} = 7 \\ \\ {x}^{2} –> {7}^{2} = 49[/tex]

If increasing the number of goods produced is one way to increase
productivity, what is the other way to increase productivity?
A. Decrease the resources invested
OB. Raise the price of the goods
OC. Increase market share
OD. Lower the quality of the materials used

Answers

Answer: decrease the resources invested

Step-by-step explanation:

Find the value of z if the volume of the cylinder is 1696.5m^3. Use 3.14 for pi and round your answer to the nearest whole number.

Answers

Answer:

πr²h= 1696

⇒r²=1696/3.14×15

⇒r²=36.009

⇒r=√36.009

∴r=6.0008=z

Which Box-and-Whisker Plot below correctly illustrates the data shown below?

{22, 22, 23, 24, 25, 26, 27, 28, 29, 30}
A.
B.
C.
D.

Answers

The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).

What is a Box-and-Whisker Plot?

A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile.

Here, Given the data set,

30, 22, 22, 27, 28, 23, 24, 25, 26, 23

the five-number summary for the box-and-whisker plot would be:

Minimum: 22

Quartile Q1: 22.75

Median: 24.5

Quartile Q3: 27.25

Maximum: 30

Thus, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).

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help me plss ty in advanced​

Answers

Answer:

See below ~

Step-by-step explanation:

Q1

⇒ Remember that sides opposing larger angles are greater in size

⇒ 75° > 54° > 51°

AC > BC > AB

Q2

⇒ The exterior angles lie outside the triangle

∠1 + ∠2 = ∠6 (Exterior Angle Property)

∠1 + ∠2 = ∠P (Exterior Angle Property)

∠3 = ∠5 (Vertical Angles)

Could someone help me on this

Answers

Answer:

13.) 314.2 in²

15.) 181.5 ft²

Step-by-step explanation:

The area of a circle is found using the equation:

A = πr²

In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).

For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".

A = πr²

A = π(10)²

A = π x (100)

A = 314.2 in²

For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.

diameter = 15.2 ft
radius = 7.6 ft

A = πr²

A = π(7.6)²

A = π x (57.76)

A = 181.5 ft²

In the table, pattern A uses the rule add five pattern B uses the rule at 10 which statement is true every term in pattern b is 10 more than the corresponding term in pattern a every term in pattern B is two times the corresponding term in pattern A every term pattern B is 10 times the corresponding term in pattern A every term in pattern B is 1/2 the corresponding term in Pattern A

Answers

Every term in pattern B is two times the corresponding term in pattern A

The correct option is (B).

What is algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

pattern A uses the rule add five pattern

pattern B uses the rule add 10

if we take example

5x2=10 and comparable to pattern A x2 to get the next number.

Hence, every term in pattern B is two times the corresponding term in pattern A.

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The correct option is (B).

find the slope between these two points (-8,3) and (6,7)

Answers

Answer:

[tex]slo pe \: = \frac{2}{7} [/tex]

Step-by-step explanation:

[tex]y1 = 3\\ x1 = - 8 \\ y2 = 7 \\ x2 = 6[/tex]

[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]sope = \frac{7 - 3}{6 - ( - 8)} [/tex]

[tex]slope = \frac{4}{6 + 8} [/tex]

[tex]slope = \frac{4}{14} [/tex]

[tex] = \frac{2}{7} [/tex]

Answer:

[tex]\textsf{slope}=\dfrac{2}{7}[/tex]

Step-by-step explanation:

[tex]\textsf{let}\:(x_1,y_1)=(-8,3)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(6,7)[/tex]

Using the slope formula:

[tex]\textsf{slope}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{7-3}{6-(-8)}=\dfrac{4}{14}=\dfrac{2}{7}[/tex]

Therefore, the slope between the two points (-8, 3) and (6, 7) is 2/7

Question 38 Evaluate sin 45°. Round your answer to the nearest hundredth. ​

Answers

Answer:

≈0.71 or [tex]\frac{\sqrt{2}}{2}[/tex].

sin(45°) =  approximately 0.71. The value is also equal to [tex]\frac{\sqrt{2}}{2}[/tex].

Hope this helps!!!

Please mark me as brainliest!!!

Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2

Answers

Answer:

You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:

1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?

2. What role does creativity play in "The Bat-Poet"?

3. How does the character of Squeaky change over the course of "Raymond's Run"?

4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.

You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.

• Submit completed pre-writing and outline documents.

• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.

• Use transitions appropriate to the pattern of organization.

• Use vocabulary to create tone and voice.

• Cite primary source (quotation).

• Submit completed revision checklist.

• Vary sentence structure.

• Create sentences with parallel structures.

• Use technology in the writing process.

Step-by-step explanation:

If $360 is divided between Pam and Bill in the ratio 3:5 respectively, how much more did Bill receive than Pam?

Answers

Bill received $144 more than Pam.

Explanation:
To create the ratio, we can divide 360 by 5 which equals 72.
3x72= 216
360

The ratio that is proportionate to 3:5 is 216:360
So, 360 - 216 = 144

PLEASE HELP ILL MAKE YOU THE BRAINIEST!!
Find the area of the shaded segment of the circle

Answers

Answer:

Exact Area =

16pi - 32 square meters

Decimal Approx:

A = 18.3 sq m

Step-by-step explanation:

In degrees, it's 360° all the way around a circle. The 270° in the image is to show you that the small piece (the triangle and yellow segment) are in a 90° part of the circle. That is 1/4 of the circle, this helps with area two ways. We'll find 1/4 of the circle area and also, that makes the triangle base 8 and height 8. This helps us find triangle area. See image.

The average American consumes 3.4 x 10^3 mg of sodium daily. If there are
3.27 x 10^8 people in the United States, then how many milligrams of sodium is consumed each day? Express your answer in scientific notation.

Answers

Answer:

1.1 x 10¹² mg of sodium

Step-by-step explanation:

(3.4 x 10³ mg)(3.27 x 10⁸) = 1.1 x 10¹² mg

A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
A. A pair of intersecting lines
B. A pair of parallel lines
C. A point
D. A single line

Answers

Answer:

A a pair of intersecting lines

Step-by-step explanation:

i got it right on the test bub

Answer: a pair of intersecting lines

Step-by-step explanation: i had many people help me know this is right

Consider functions fand g.
f(x) = -x3
g(x) = |1/8x-1|
What is the value of (gof)(4)?
O A. -1/8
OB. 9
O C. -9
O D. 1/8

Answers

The value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -x³

[tex]\rm g(x) = |\dfrac{1}{8}x-1|[/tex]

Plug x = 4 in the f(x)

f(4) = -4³ = -64

Plug the above value in the g(x)

[tex]\rm g(x) = |\dfrac{1}{8}(-64)-1|[/tex]

g(f(4)) = |-8-1| = |-9| = 9

Thus, the value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.

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