1. A piece of thread is inches long. Jenny needs to out the thread into inch segments.
How many segments can she cut?

The inequality that could be used to determine the range of body temperature is; |t − 100| ≤ 1.2

An absolute value inequality is defined as an expression with absolute functions including inequality signs. For example, the expression |x + 2| ≥ 1 is an absolute value inequality containing a greater than or equal to symbol.

Now, we are told that The normal body temperature for an adult horse is 100° F, but it can vary by as much as 1.2°.

Now, since it varies by as much as 1.2 degrees, it means the maximum varied temperature is  1.2°. Thus, we can say that the absolute value inequality is; |t − 100| ≤ 1.2

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Answer: x= 5

Step-by-step explanation: Refer to the image, all the explanations included

Check the picture below.

The given information is a geometric sequence with the missing numbers are 27 and 3.

Geometric sequence is a sequence of numbers/terms that has a fixed pattern, based on the operation of multiplying by a constant. Thus, each sequence of numbers will have a constant ratio. This is what distinguishes it from an arithmetic sequence.

In an arithmetic sequence, the fixed pattern is based on the operation of subtraction or addition. Thus, each sequence of numbers will have a common difference.

Let us write out the given sequence, with x and y for the missing numbers:

81, x, 9, y, 1

Then we observe the sequence that how its first term reaches the second and so on. We must think about every possible logic that may be in the pattern.

term 1: 81 = 3⁴

term 2: x

term 3: 9 = 3²

term 4: y

term 5: 1 = 3⁰

We can conclude that the pattern is 3⁵⁻ⁿ where n is the term's order.

As we had the pattern, we can obtain the value of x and y:

x = 3⁵⁻ⁿ = 3⁵⁻² = 3³ = 27

y = 3⁵⁻ⁿ = 3⁵⁻⁴ = 3¹ = 3

Thus we can conclude that the missing numbers are 27 and 3.

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The outcome that makes up the event a that the sum of the three faces showing equal 5 is; P(E) = 1/36

There are three dice, thus.

Set the Red die to R.

Set the Blue die to B.

Green Dice should be G.

Now, none of the six potential numbers can be bigger than 3 in order for the sum of the three numbers on all dice to equal 5.

So, P(R) = 3/6.

Now, if P(R) = 3/6, none of the other 2 dice can produce 3 or more because doing so would cause the sum to exceed the necessary 5.

So, P(B) = 2/6.

Now that P(R) and P(B) have been obtained, P(Y) must be 1/6.

As a result, P(E) = 3/6 2/6 1/6 is the result that constitutes the event that the sum of the three faces shown equals 5.

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1. Using Radicals the number √17 has a value of 4.123.

2. √510 =260100.

3. √4x = 2√x.

Simply multiply or divide the numbers at each point where it makes sense to multiply or divide a function. If the functions are specified by formulas, you can simply multiply or divide the formulas (inserting numbers before or after is irrelevant).

When multiplying or dividing, it is standard practise for the final result to contain the same number of significant figures as the number with the fewest significant figures. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend.

The number that divides the number (dividend) into equal parts is known as the divisor.

1. [tex]\sqrt{17}\\[/tex] = 4.123 (The values of the number √17 is 4.123.)

2.  √510

= 510^2

=(500+10)^2

=500^2+10^2+2×500×10

=250000+100+10000

=260100.

3. √4x = 2√x.

because 4 = 2*2

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The probability they will select and purchase your widget out of the 6 companies is 1/6 i.e 0.1667.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

The success rate for choosing your company out of 6 is 1/6

Therefore probability is 1/6 = 0.1667.

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The rate of change of this simple index over 1 week as calculated from the data given in the question is found out to be as -  -8.81 %.

  Day one simple index value ,

= (8000 x $4.25) + (5000 x $2.90) + (2000 x $6.40)

= $61,300

Value at day 8 = (8000 x $3.90) + (5000 x $2.50)+(2000*6.10)  

= 55900

therefore, the rate of change of this simple index over 1 week

= (55900-61300)/ 61300 x 100 %

= -8.81 %

Simple index numbers are the numbers which gives equal importance to all items no matter what share it has. We can say that , it takes into consideration each item to be equal with respect to the given variable. Consequently, it is a simple average and is less accurate when compared to the other class of index numbers.

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If the point R has the coordinates (-12, 4) and point M has coordinates (1,-2)  then the coordinates of point S are (14 , -8) .

The midpoint (x,y) of the line segment having the endpoints as (a,b) and (c,d) can be calculated by using the formula :

(x,y) = [tex](\frac{a+c}{2} ,\frac{b+d}{2} )[/tex] ;

The end points of the line segment RS are R (-12, 4) and S(x,y) ,

the point M is the mid point and the coordinate is M (1, -2) .

So , the coordinate of point S are represented as :

(1,-2) = [tex](\frac{-12+x}{2},\frac{4+y}{2} )[/tex];

Simplifying both the equations ,

we get ;

2 = -12 + x       and     -4 = 4 + y  

x = 12 + 2      and      y = -4 - 4

x = 14       and      y = -8   .

Therefore , the coordinate of S is (14,-8) .

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Answer:

793550

Step-by-step explanation:

Rounding to the nearest ten means we look at the ones digit, 8

Since it is 5 or higher the tens digit moves 1 up from 4 to 5

The ones digit becomes a 0

793548 round to 793550

:5.142 square units

Step-by-step explanation:

The value of x, given that the area of the square is 121 meters, is 4.

A square is a four-sided polygon with all sides of equal length and all angles equal to 90 degrees. It is a special case of a rectangle in which the length and width are equal.

The area of a square is the amount of space inside its boundary and it is calculated by multiplying the length of one side of the square by itself. The formula for the area of a square is A = s^2, where s is the length of one side of the square.

If the area of the square is 121 meters, then its side length is 11 meters.

A = s^2

121 meters = s^2

s = 11 meters

If the side length is a square can be expressed as 2x + 3, then the value of x is 4.

s = 11 meters = 2x + 3

11 = 2x + 3

2x = 11 - 3

2x = 8

x = 4

Hence, the value of x is 4.

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Answer:

8 plates: $26

25 plates: 51.50

Step-by-step explanation:

8 plates:

2(8)+10=$26

25 plates:

25(1.50)+14=$51.50

The proportion of the area under the curve that lies to the right of t = 2.015 in a t-distribution with 5 degrees of freedom can be calculated using the t-distribution function in a statistical software package such as R.

The answer is approximately 0.9522. This means that 95.22% of the area under the curve lies to the right of t = 2.015. This indicates that the probability of observing a value of t greater than 2.015 is quite high.

This is because the t-distribution with 5 degrees of freedom has a larger spread than the normal distribution, which means that the probability of observing values further from the mean is greater.

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The perimeter of the larger lot is 155 yards.

If the ratio of similarity of the two house lots is 3:1.8, and the smaller lot has a perimeter of 93 yards, we can set up the following proportion to find the perimeter of the larger lot:

perimeter of larger lot : perimeter of smaller lot = 3:1.8

To find the perimeter of the larger lot, we can cross-multiply and solve for the unknown:

perimeter of larger lot = perimeter of smaller lot (3) / 1.8

We know that the perimeter of the smaller lot is 93 yards, so we can substitute that in:

perimeter of larger lot = 93 yards (3) / 1.8

perimeter of larger lot = 155 yards

Therefore, the perimeter of the larger lot is 155 yards.

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The gap is approximately 259,854.9 inches wide.From the Given Scenario,We can decide that the value to find is the Circumference of the  Band around the Earth .

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m.

The radius of the circle is considered when applying the formula to determine the circumference of the circle. Therefore, in order to calculate the circle's perimeter, we must know the diameter or radius of the circle.

Given,

The length of the steel band is =25,000 mile

When the steel band was cut and spliced

The new circular band has a circumference of 25,036 inches.

The circumference of a circle is given by the formula C = 2πr,

where C is the circumference and r is the radius of the circle.

As we know The Earth's equator has a circumference is about 24,901 miles.

The steel band's circumference was expanded by 36 inches when it was cut and joined. Since the diameter and circumference are inversely proportional, the new band has a larger diameter than the old band.

To find the increase in diameter:

25,036 inches / 2π = 3957.1 inches

24,901 miles * 12 inches/mile = 298,812 inches

The gap is the difference between the two diameters:

298,812 inches - 3957.1 inches = 259,854.9 inches

Hence, The gap is approximately 259,854.9 inches wide.

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The line GE will be an altitude. The correct option is D.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

A triangle's altitude is the perpendicular drawn from the triangle's vertex to the opposite side. The altitude, also known as the triangle's height, forms a right-angle triangle with the base.

Given that an isosceles triangle EDF with height EG. The sides ED and EF are indicated to have equal lengths. The lengths FG and GD are 3a and (a plus 6) respectively.

The length GE will be the perpendicular drawn and is called the altitude.

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An expression which can be used to determine the total cost of the project if the project is not completed by the due date is: D) x - 0.15x.

In Mathematics, a mathematical expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Since the cost of the streetcar project is x dollars and the cost of the project is reduced by 15% if the project is not completed by the due date, a mathematical expression which can be used to determine the total cost of the project;

Total cost = x - 15% of x

Total cost = x - (15/100 × x)

Total cost = x - (0.15 × x)

Total cost = x - 0.15x

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The equation of the graph in blue mark is

Transformation is a term used in mathematics to refer to the movements made by objects such as graphs.

Translation refers to a type of transformation that involve a linear movement.

Movements as seen in translation includes

The up and down movements are on the vertical direction controlled by the y coordinate. While the left and right movements are on the horizontal direction controlled by the x coordinate.

The translation in the graph is a movement 4 units to the right and this is represented as equation to be g(x) = (x - 4)²

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If the machinist makes 500 of these parts, the cost of the steel is 1170 dirham ( rounds to the nearest dirham).

We have, A machinist creates a solid steel part for a wind turbine engine. Let us consider volume, mass and density of steel part be "V", "M", "D" respectively.

Density of a material is defined as mass of material per unit volume of material,

D = M/V .

Volume of steel part, V = 1015 cm³

The cost of steel part = 29 fils per kg

Density of steel part, D = 7. 95 g/cm³

Number of steel part used by machinist

= 500

So, Denssity = Mass of steel part/ Volume of steel part

=> 7. 95 g/cm³ = M/1015 cm³

=> M = 7.95× 1015 g

=> M = 8,069.25 g

Now, Convert the mass of steel part from grams to kilograms using conversion units.

Mass of steel part, M = 8,069.25/1000 g

=> M = 8.07 kg

So, cost of one steel part = 29 fils/kg × 8.07 kg = 234.008 ~ 234 fils

If the machinist makes 500 of these parts, the cost of the steel = 500× 234

= 117,000 fils.

But we wants the cost of steel in dirham so we have to convert the fils units into dirham units,

One dirham is divided into 100 fils.

So, 117,000 fils = 117,000/100 dirham

= 1170 dirham.

Thus, required cost of steel is 1170 dirham.

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The third variable is the type of hiking boots the hiker wears. Option C

We know that when we talk about a positive correlation, what we are saying is that the the increase in none of the variables does affect the other variable and causes it to increase also or vice versa.

In this case, we have been told that An outdoor reporter finds a positive correlation between the number of granola bars a hiker eats on a trip and the number of bug bites the hiker receives.

Hence, the third variable must be the type of hiking boots the hiker wears.

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The parts in the proof is completed as follows

Slope of line DE = (c - c) / (a + b - b) = 0 / a = 0

Slope of line BC = (0 - 0) / (2a - 0) = 0 / 2a = 0

Therefore because slope of line DE =  slope of line BC, DE || BC

The term parallel lines refers to lines in a plane that never cross each other, even when we stretch them.

The parallel lines are never in contact, hence their distance is always the same.

The slope of parallel lines are always equal.

In the proof the slope of the line DE and line BC is calculated as the values of zero was gotten

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The total surface area of the square pyramid is 300 in²

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

The surface area of a solid figure is gotten by adding all the individual surfaces area.

Given the square pyramid with base of 10 inches and the height of each lateral face of the pyramid is also 10 inches. Hence:

Area of pyramid base = 10 in * 10 in = 100 in²

The lateral face have 4 triangles faces, hence:

Area of each lateral face = 1/2 * base * height = 0.5 * 10 * 10 = 50 in²

Total area of lateral face = 4 * 50 in² = 200 in²

Total surface area = 200 in² + 100 in² = 300 in²

The surface area is 300 in²

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Answer:

-7y= 93x + 11y =4

Step-by-step explanation:

93x+11y+7y=4

Answer:

0.25x + 15

Step-by-step explanation:

Let x = number of months.

weight = initial weight + monthly increase

weight = 15 + 0.25x

Answer: 0.25x + 15

The length of the unknown side BC which is similar to QR as per similarity of triangle is 54 units.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

If the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable (or proportion). Triangles that are similar will have the same form but may not be the exact same size.

let the lenght of the unknown side BC be x

Since the ratio of sides are equal we can write :

x/6 = 27/3

⇒x = 9 * 6 = 54

The length of the unknown side BC which is similar to QR as per similarity of triangle is 54 units.

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So, the factor of 4x² 3x 7 is (4x - 1)(x - 7).

To find the factors of an algebraic equation, we can use the method of factoring by grouping. This method involves grouping the first two terms and the last two terms, and then factoring out the greatest common factor (GCF) of each group.

In this case, we have 4x² 3x 7

We can group the first two terms, 4x² and 3x, and factored out the GCF of 4x and 3x, which is x.

Then we can group the last two terms, 3x and 7, and factored out the GCF of 3x and 7, which is 1.

So the factor of 4x² 3x 7 is (4x - 1)(x - 7).

It is the correct factorization of the given polynomial equation.

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The random variables which is geometric is the number of digits I will read beginning at a randomly selected starting point in a table of random digits until I find a 7.

The probability of success is same in every trial whichever is being conducted at that time.

When modelling a set of trials with one of two possible outcomes—success or failure—the geometric random variable is utilized. The geometric random variable reveals how many experiments were conducted before a success.

In mathematical modelling, statistical modelling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

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Algebraic equations with equivalent solutions or roots are called equivalent equations.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. An equivalent equation is one that is created by adding or subtracting the same quantity or expression from both sides of a given equation.

Here,

Equations in algebra are referred to as equivalent if they have the same answers or roots. The same quantity or expression must be added to or subtracted from both sides of an equation to produce an equivalent equation.

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Answer:0.02 then 34/100 then 0.63 then 7/10

Step-by-step explanation:no explanaitin cause i cant be bothered