2+2=4-1= blank who rembers this

Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

General Arithmetic Terms

\( \displaystyle \large{a_n = a_1 + (n - 1)d}\)

We want to find a8; we know:

Substitute in the formula.

\( \displaystyle \large{a_n = 9 + (n - 1)4} \\ \displaystyle \large{a_n = 9 + 4n - 4} \\ \displaystyle \large{a_n = 4n + 5}\)

To find a8, substitute n = 8

\( \displaystyle \large{a_8= 4(8) + 5} \\ \displaystyle \large{a_8= 32 + 5} \\ \displaystyle \large{a_8= 37}\)

Hence, the 8th term of sequence is 37

Answer:

A) y = x^2/144

Step-by-step explanation:

EDGE 2021

The rectangular form of the parametric equation is y = x²/144.

The parametric equation is in which the dependent and independent variable are defined in terms of an individual parameter, converting it into rectangular form is called eliminating the parameter.

The parametric equation is converted into a Rectangular equation by keeping the value of the parameter from one equation in the other equation.

The parametric equations are:

x =6t

y = t²/4

t = x/6 from the equation 1

y = (x/6)²/4

y = x²/ (36 *4)

y = x²/144

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The range of heights in the data set is the difference between the highest height and lowest height which is C. 14 cm.

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

The range of a data set is the difference between the highest term and the lowest term.

Given, The heights of the girls on a basketball team.

Now, from the data set Busby has a height of 152 cm and Stills has a height of 168 cm.

So, The range of heights is (168 - 154) cm.

= 14 cm.

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They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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answer:35 grams

explication: because if he need 350 grams of sugar to make 100 cookies , we have to divide 350 by 100 so it gives 35

The number of grams of sugar would he need to bake 10 cookies will be 35 grams.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

To bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar.

Let x be the amount of sugar for 10 cookies.

The number of grams of sugar would he need to bake 10 cookies will be

x / 10 = 350 / 100

x / 10 = 3.5

x = 35 grams

The number of grams of sugar would he need to bake 10 cookies will be 35 grams.

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Answer:

3

Step-by-step explanation:

The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

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Answer:

none

Step-by-step explanation:

distribute the left side

3x+24-1=3x+4

simplify

3x+23=3x+4

23=4

this is never true, therefore there are no solutions

Answer:

None

Step-by-step explanation:

3(x + 8) − 1 = 3x + 4

Distribute

3x + 24 - 1 = 3x + 4

3x + 23 = 3x + 4

Subtract 3x from both sides

23 = 4.....False

No Solution

On solving the provided question, we can say that Therefore, you would need multiply  approximately 27.84 pounds of food each day for your horse.

One of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."

First, we need to convert the weight of the horse from kilograms to pounds, so:

678 kg x 2.20462 lbs/kg = 1495.69 lbs

Next, we need to calculate how many Mcal the horse needs per day:

0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day

Then, we can convert the Mcal to kcal:

22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day

Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:

22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day

Therefore, you would need approximately 27.84 pounds of food each day for your horse.

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Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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We know that triangles ABC and DEF are similar. So, in order to find all the unknown values we can use proportional relationships because we have all values of the small triangle and at least, one value of the big triangle.

For instance, if we want to know the lenght of segment FD, the following ratio must be preserved:

since BC=5 , AC=4 and EF=10, we have

so ED is equal to

Similarly, we can obtain ED as

so, ED is

Answer:

412.10 USD

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

x1 = 21.1 ; n1 = 53 ; s1 = 1.1

x2 = 20.7 ; n2 = 46 ; s2 = 1.2

The test statistic :

(x1 - x2) / √[(s1²/n1 + s2²/n2)]

(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]

0.4 / 0.2326682

Test statistic = 1.719

The degree of freedom using the conservative method :

Comparing :

Degree of freedom = n - 1

Degree of freedom 1 = 53 - 1 = 52

Degree of freedom 2 = 46 - 1 = 45

Smaller degree of freedom is chosen ;

The Pvalue from Test statistic, using df = 45

Pvalue = 0.0462

Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.

Answer:

All conjecture postulates and theorems prove a logical argument.

This is my opinion

Step-by-step explanation:

Theorems are the basics of mathematics.

They are verified multiple times in past.

They are certified by all famous mathematicians of world.

Some famous theorems are

Answer:

Tens unit:4 and 40

Step-by-step explanation:

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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112

suplementry angle add to 180 so 180_68=112

Answer:

3 1/6

Step-by-step explanation:

Answer:

3 1/6

Step-by-step explanation:

Solving for x on both images; we have; x= 157/12 and x= 11 respectively

From the law of Congruence in the first image (triangle)

We have;

x = 157/12

For the second image;

We have;

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The unit price of the pairs of gloves is $8.19.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, a package of 5 pairs of insulated gloves costs $40.95.

The unit cost will simply be the division of the values given. This will be:

= $40.95 / 5

= $8.19

The price is $8.19.

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The area of a triangle with base (x) and height which is two more than eight times its base is 4x² + x square units

An equation is an expression that shows the relationship between two or more numbers and variables. Types of equation are linear, quadratic, cubic and so on.

The area of a triangle is the amount of space it occupies. It is the product of  the base and height divided by 2. Hence:

Area = (1/2) * base * height

Let x represent the base

The height is two more than eight times its base, hence:

height = 8x + 2

Area = (1/2) * base * height

Substituting:

Area = (1/2) * x * (8x + 2)

Area = 4x² + x

The area is 4x² + x square units

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Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.

Answer:

0.6x = 6.6

Step-by-step explanation:

3.3x - 6.6 = 2.7x

3.3x - 2.7x - 6.6 = 0

0.6x = 6.6

x = 11

Answer:

30 clovers

Step-by-step explanation:

If Nathaniel find 2 four-leaf clovers in the first 12 minutes of his search, the rate at which he finds the four-leaf clovers is:

\(\implies \sf Rate=\dfrac{2\;clovers}{12\;minutes}=\dfrac{1}{6}\;clovers\;per\;minute\)

To predict the number of four-leaf clovers Nathaniel will find in 180 minutes, multiply the found rate by 180 minutes:

\(\implies \sf \dfrac{1}{6} \times 180=30\;clovers\)

Therefore, Nathaniel will find 30 clovers in 180 minutes based on the rate at which he found 2 clovers.

\( \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=2/12×180

\: \)

\( \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=30clovers\)

5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².

Firstly, we will calculate the area of the square of paper in which the holes are punched.

Side of square = 12 cm

Area of square = side²

= (12) ²

= 144 cm²

Now, we will calculate the area of the bigger punch holes

Radius of big punch hole = 3 cm

Area of 1 big punch = π (radius) ²

= 22/7 × (3)²

22 / 7 × 9

= 198 / 7 cm²

Area of 4 punches = 4 × 198/7

= 792/7 cm²

Now, we will calculate the area of smaller punch whose radius is 1cm

Area = 22/7 × 1²

= 22/7 cm²

Now, we will calculate the total area covered by circles

Total area covered by circles = area of small punch + area of 4 big punch

= 22/7 + 792/7

= 814 /7 cm²

Remaining area = area of square - area of circles

= 144 - 814/7

= (1008 - 814) / 7

= 194 / 7

= 27.714 cm²

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