Answer:
3
Step-by-step explanation:
2+2=4-1=3
(hope this helps can i plz have brainlist :D hehe)
Answer:
3
Step-by-step explanation:
2+2 is 4
4-1= 3
simple
What is the rectangular form of the parametric equations x = 6t and y =t^2/4?
Answer:
A) y = x^2/144
Step-by-step explanation:
EDGE 2021
The rectangular form of the parametric equation is y = x²/144.
What is a Parametric Equation?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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Represent the given condition using a single variable, x..
The base and height of a triangle whose height is two more than eight times its base
The base is
X
The area of a triangle with base (x) and height which is two more than eight times its base is 4x² + x square units
What is an equation?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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what would be your first step in completely factoring 6a^2-15a+6
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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A line passes through the point (1,5) and has a slope of 7
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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Find the unknown coordinate so the line through the
points has the given slope
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)
Nathaniel is searching for a four-leaf clover in a field. He finds 2 four-leaf
clovers during the first 12 minutes of his search. If Nathaniel spends a total of
180 minutes searching in the field, predict the number of four leaf clovers
Nathaniel will find.
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.
\( \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=2/12×180
\: \)
\( \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=30clovers\)
The images below show a picture of ricoffy tin container with no dimensions indicated.the container is 2,5 times smaller than what it is in reality. Measure the diameter of the tin in mm and write down the real diameter in mm
The diameter of the tin in the picture is \(3d/5\) where 'd' is the diameter of the tin in reality.
What is the measurement of the diameter?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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A merchant has 1500 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is
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.
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
State the domain and range of the relation given in the table below, and determine if it is a function,
х 16 -8 4 1 -8 7
y 8 -6 -14 -9 7 24
Domain: {
Range:{
Is the relation a function?
O No
OYes
The average horse requires 0.0333 Megacalories (Mcal) each day for every kilogram (kg) it weighs. If your horse weights 678 kg, and the food you are buying provides 810 kcal per pound of food, how many pounds of food do you need each day for your horse?
Use the following facts:
1000 kcal = 1 Mcal
1 pound food = 810 kcal
0.0333 Mcal = 1 kg horse
Round to the nearest whole number.
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.
what is multiplyOne 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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A 12 cm by 12 cm square piece of paper has 5 holes punched out of it. 4 of the holes are circles of radius 3 cm and 1 of the holes is a circle of radius 1 cm. The paper and punched holes can be visually interpreted as below. Determine the area of paper remaining after the holes have been punched out.
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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10x 4 tens unit and standard form
Answer:
Tens unit:4 and 40
Step-by-step explanation:
What is the step by step process of adding and subtracting matrices
Will mark brainiest
The equation 3.3x − 6.6 = 2.7x can be transformed to form which of the following expressions?
6.0x = 6.6
0.6x = 6.6
6.0x = −6.6
0.6x = −6.6
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
to bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar. How many grams of sugar would he need to bake 10 cookies?
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.
What are ratio and proportion?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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"When finding all the unknown values in similar right triangles you have choices: you can useproportional relationships or the Pythagorean Theorem. Which would you use for each of theseexamples, and why?"
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:
\(\frac{BC}{AC}=\frac{FE}{FD}\)since BC=5 , AC=4 and EF=10, we have
\(\frac{5}{4}=\frac{10}{FD}\)so ED is equal to
\(\begin{gathered} FD=\frac{4\cdot10}{5} \\ FD=\frac{40}{5} \\ FD=8 \end{gathered}\)Similarly, we can obtain ED as
\(\frac{ED}{10}=\frac{3}{5}\)so, ED is
\(\begin{gathered} ED=\frac{10\cdot3}{5} \\ ED=\frac{30}{5} \\ ED=6 \end{gathered}\)1) 1. What is the vertex of the graph of the function f(x) = x2 – 8x + 5?
A fast-food restaurant serves their fries in paper cones. The cones have a radius of 2 inches and a height of 6 inches. It is a challenge to fill the narrow cones with their long fries. They want to use new cones that have the same volume as their existing cones but a larger radius of 4 inches. What will the height of the new cones be?
Answer:
3
Step-by-step explanation:
You want to test the claim that the average age of students at Gorka College is greater than the average age of students at Yapoah College. You take a simple random sample of 53 people from Gorka and compute an average age of 21.2 (years) and a standard deviation of 1.1. Then you take a simple random sample of 46 students from Yapoah College and compute an average age of 20.7 and a standard deviation of 1.2.
Compute the t-statistic for testing the alternative hypothesis that the average age of Gorka students is greater than the average age of Yapoah students (set things up so that t is positive).
What are the degrees of freedom (using the conservative method)?
What is the P-value?
Is there significant evidence at the 0.05 level to support the hypothesis that the average age of Gorka students is higher than for Yapoah?
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.
The measure of angle B is 68 degrees. What is the measure of its supplementary angle?
112
suplementry angle add to 180 so 180_68=112
The heights of the girls on a basketball team are shown in the table.
Player
Hanson
Jones
Kingsbury
Lane
Kerr
Busby
Folson
Stills
Height (cm)
155
160
163
158
163
154
163
168
What is the range of heights?
A 8
B. 13
C. 14
D. 155
E. 168
The range of heights in the data set is the difference between the highest height and lowest height which is C. 14 cm.
What are the mean, median, mode, and range of a data set?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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a package of 5 pairs of insulated gloves costs $40.95. What is the unit price of the pairs of gloves?
The unit price of the pairs of gloves is $8.19.
What is a expression?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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How many solutions for x does the following equation have?
3(x + 8) − 1 = 3x + 4
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
WWrite improper fraction as a mixed number 19/6
Answer:
3 1/6
Step-by-step explanation:
Answer:
3 1/6
Step-by-step explanation:
. If the current US exchange rate is 0.77, how many U.S. dollars can you buy with $500
CAD?
Answer:
412.10 USD
Step-by-step explanation:
Solve for X on both images
(25 points)
Solving for x on both images; we have; x= 157/12 and x= 11 respectively
Congruent trianglesFrom the law of Congruence in the first image (triangle)
We have;
15/21 = (3x-4)/(5x -16)75x -241 = 63x -8412x = 157x = 157/12
For the second image;
We have;
(2x +6)/32 = 52.5/60120x + 360 = 1680120x = 1320 x = 11Read more on congruent triangles;
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Inference: All _______ postulates and theorems prove ______.
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
Pythagorean theoremThales theoremPlease awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?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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Find a8 when a1= 9, d = 4 of the arithmetic sequence whose first term is a1 and common difference is d.
General Arithmetic Terms
\( \displaystyle \large{a_n = a_1 + (n - 1)d}\)
We want to find a8; we know:
a1 = 9d = 4Substitute 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