What is the exact distance from − 1 4 to 6 − 2 )? 4 points units units units units?

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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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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Dora's travel need to average for 50 miles per hour for her travel time to increase by 6 minutes.

Dora is traveling to visit diego at an average speed 60 of mi/h.

∴ Distance = Speed x Time

d = 60 x t   (i)

If dora travels with an average speed of 75 mi/h then, her travel time reduce by 6 mins the,

d = 75 x (t-6)   (ii)

By solving equations we get,

60 x t = 75 x (t-6)

60t = 75t - 450

15t = 450

t = 30.

In order to increase the travel time by 6 minutes ,

d = s x (t + 6)

60t = s (t + 6)

60x30 = s (36)

s = 50 mi/hr.

So Dora will travel at 50 mi/h for her to increase the time of her journey by 6 minutes.

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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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Answer: X = 15.

Step-by-step explanation: if 12x = 180, simply divide both sides by 12. Doing this will leave just X on one side, and it’s answer, 15, on the other.

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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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 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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Prime factorization of 96 is  = 2 × 2 × 2 × 2 × 2 × 3.

The prime factorization procedure is used to determine the prime factors of a given number, such as a composite number.

The only elements of these factors are the prime numbers.

A prime number is one that only has the number itself and factor 1 in it. For instance, the prime number 2 has two components, which are 2 and 1.

These are the steps in this procedure:

Starting with the number you wish to factor, in this case 96, is step one.

2. Subtract the quantity from the smallest prime number, which is 2.

Step 3: Divide the result by 2 once more if the answer is a whole number.

Step 4: Repeat this procedure up until the point when the result is not a whole number.

Step 5: Go to 3 and repeat the process once you get to a number that is not divisible by 2.

Step 6: Continue with the following prime number and repeat the process until you reach a number that is not divisible by 3.

Step 7: Keep doing this up until you reach 1.

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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 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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The required value of k root of the quadratic equation is 2.

Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfil the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

kx(x−2√5)x+10=0

kx² −2√5 kx+10=0

Compare the preceding equation to the quadratic equation's general form, which is

ax² + bx + c=0.

a=k,b=−2√5 k,c=10

Locate a discriminator

D=b² −4ac

=(−2 k)² −4×k×10 = 20k −40 k

Put D=0 because the roots are genuine and equal (given).

20k² −40k=0

k²−2k=0

k(k−2)=0

Otherwise, k=0 or k−2=0

hence, k=0 or k=2.

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Complete question:

For what values of k are the roots of the quadratic equation kx(x−2

5)+10=0 real and equal?

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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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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:5.142 square units

Step-by-step explanation:

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 value of t is -9. The equation of the curve is y = x² + 8x -9.

What is a curve?

An abstract term used in mathematics to describe the path of a continuously moving point (see continuity). An equation is typically used to generate such a path. The term can also refer to a straight line or a series of linked line segments.

The given curve cuts y-axis at -9 and  x-axis at 1 and ‘t’ where t < 0.

The equation of a quadratic curve is y = (x-a)(x-b) where a, b are x-intercepts.

Putting a = 1 and b = t in y = (x-a)(x-b):

y = (x-1)(x-t)

Since the y-intercept of the curve is -9. The curve passes through the point (0,-9).

Putting x = 0, y=-9:

-9 = (0-1)(0-t)

-9 = t

Now putting t = -9, in y = (x-1)(x-t):

y = (x-1)(x-(-9))

y = (x-1)(x+9)

y = x² - x+ 9x - 9

y = x² + 8x -9

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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 known values into the equation to determine the exact function of the graph

the known values into the equation to determine the exact function of the graph

1. Identify the type of graph you are dealing with. Is it a linear graph, an exponential graph, or a logarithmic graph?

2. Graph the data points on a coordinate plane.

3. Determine the equation of the best-fit line for the graph.

4. Determine the slope of the best-fit line.

5. Calculate the logarithmic function with the equation y = log(x) + b, where b is the y-intercept of the best-fit line.

6. Substitute the known values into the equation to determine the exact function of the graph

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These three angles cannot form a triangle.

The sum of angles of a triangle is always 180°, as per the triangle angle sum theorem. This means that any three angles whose sum is greater than 180° cannot form a triangle. In the given options, option b. 70°, 83°, 27° has a sum of 180°, so it can form a triangle. Option a. 67°, 51°, 62° has a sum of 180, so it can form a triangle. Option c. 90°, 70°, 20° has a sum of 180°, so it can form a triangle. Option d. 40°, 132°, 18° has a sum of 190°, so it cannot form a triangle. To calculate the sum of angles, we can use the formula: angle1 + angle2 + angle3 = 180°. Thus, in option d. 40°, 132°, 18°, 40° + 132° + 18° = 190° which is greater than 180° and thus, these three angles cannot form a triangle.

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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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The end behavior of the function c(x) = 3.75 + 2x tells us that as the distance of the trip increases or decreases, the cost of the ride increases or decreases at a constant rate of 2 dollars per mile.

The function c(x) = 3.75 + 2x represents the cost, in dollars, of a ride on Ryde as a function of the distance of the trip, in miles. The end behavior of a function refers to the behavior of the function as the input (in this case, the distance of the trip) approaches positive or negative infinity.

In this case, the end behavior of the function tells us about how the cost of the ride changes as the distance of the trip increases or decreases.

The function c(x) = 3.75 + 2x is linear with a positive slope of 2. This means that as the distance of the trip increases, the cost of the ride also increases at a constant rate of 2 dollars per mile. As x approaches positive infinity, the cost of the ride goes to positive infinity as well.

Similarly, as the distance of the trip decreases, the cost of the ride decreases at a constant rate of 2 dollars per mile. As x approaches negative infinity, the cost of the ride goes to negative infinity as well.

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Answer: -62.7

Step-by-step explanation:

7/10 = 0.7

-62 7/10 = -62.7

Answer:62.7

Step-by-step explanation:

Therefore , the solution of the given problem of ordered pair comes out to be (0, 10) , (1,10.5) and (2,11).

Two independent variables that are put in a manner that implies a particular order are known as "ordered pairs." Inside an order pair, the primary and second components, respectively, stand in for the x and y coordinates. The ordered pair is shown using close parentheses in the sample that follows.

Here,

The solution is to insert an x and observe what ever the y is. triple-check that.

So, for instance, I may enter x = 0. Check at what the y represents.

Let me just get y on its own first, though.

=> y=1/2x+10

=> 2y = x + 20

=> y = (x+20)/2

let's substitute x = 0 now.

=> y = (0 + 20)/2 = 10

Consequently, we have a single pair that was ordered: (0, 10)

order pair for x = 1

=>  y = (1+ 20)/2 = 10.5

=> (1,10.5)

Ordered pair for x = 2 and

=>y = (2+20) /2 = 11

=> (2,11)

Therefore , the solution of the given problem of ordered pairs comes out to be (0, 10) , (1,10.5) and (2,11).

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

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

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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Answer:

-7y= 93x + 11y =4

Step-by-step explanation:

93x+11y+7y=4