step 1
Convert mixed number to an improper fraction
so
2 1/4=2+1/4=9/4
2 1/6=2+1/6=13/6
step 2
Adds the fractions
9/4 + 13/6=(6*9+4*13)/24=106/24
step 3
Convert to mixed number the result
106/24=96/24+10/24=4+10/24=4+5/12=4 5/12
the answer is 4 5/12What does x equal???
here is ur answer seeee now
1/3 divided by 1/4 as a fraction
Is this correct or incorrect …..
A zero has the same meaning as the vertex.
What is a vertex?The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.
The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.
Thus, a zero has the same meaning as the vertex.
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a professor at a certain school polled 12 colleagues about the number of meetings they attended in the last five years (x) and the number of papers they submitted to peer reviewed journals (y) during the same period. the summary data are as follows: n
The number of meetings they attended in the last five years (x) and the number of papers they submitted to peer reviewed journals (y) during the same period is \(-8.6+3.15\).
What is formula for slope and intercept is?
\($$\begin{aligned}& b=\frac{n \sum x y-\left(\sum x\right)\left(\sum y\right)}{n \sum x^2-\left(\sum x\right)^2} \\& a=\bar{y}-b \bar{x} \\& \hat{y}=a+b x\end{aligned}$$\)
The slope is
\($$\begin{aligned}b & =\frac{n \sum x y-\left(\sum x\right)\left(\sum y\right)}{n \sum x^2-\left(\sum x\right)^2} \\& =\frac{12 \times 318-(12 \times 4)(12 \times 4)}{12 \times 232-(12 \times 4)^2} \\& =3.15\end{aligned}$$\)
The intercept is
\($$\begin{aligned}a & =\bar{y}-b \bar{x} \\& =4-3.13 \times 4 \\& =-8.6\end{aligned}$$\)
The regression equation is
\($$\begin{aligned}\hat{y} & =a+b x \\& =-8.6+3.15 x\end{aligned}$$\)
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A Leopoldo su Maestra l le pidió que calcular el perímetro de un rectángulo que tiene las medidas que se indican en el dibujo cuánto mide su perímetro
english only on this website
read the rules
HELP ASAP!!WILL GIVE GOOD RATINGS
Calculate 0.82 + 0.35 ?
ANSWER
EXPLANATION
We want to add the two numbers:
0.82 + 0.35
Using the long addition method, we have:
0 . 8 2
+ 0 . 3 5
Start on the right hand side:
What number should be placed in the box to help complete the division calculation?
(Long division setup showing an incomplete calculation). 13 is in the divisor, 4231 is in the dividend, and 3 hundreds and 2 tens is written in the quotient. 3900 is subtracted from 4231 to give 331. An unknown value represented by a box is being subtracted from 331.
Answer:
299
Step-by-step explanation:
Prove: AB CD and AD BC
Complete the flow chart proof
alternate exterior
angles theorem
construct AC
two points
define a line
AB CD
AD || BC
given
alternate intenor
angles theorem
AC AC
CPCTC
ZDAC = ZBCA
ZACD= ZBAC
ASA
SAS
AACD ACAB
reflexive property
of congruence
AB= CD
AD=BC
We can see here that
1. Side AC ≅ AC = CPCTC
2. ∠DAC ≅ ∠BCA
∠ACD ≅ ∠BAC - alternate interior angles theorem
3. ΔACD ≅ ΔCAB - reflexive property of congruence
4. Side AB ≅ Side CD
Side AD ≅ Side BC - CPCTC
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. In other words, opposite sides of a parallelogram are parallel and equal in length. Additionally, opposite angles in a parallelogram are congruent (i.e., they have the same measure).
Some common properties of parallelograms include:
The diagonals of a parallelogram bisect each otherThe area of a parallelogram can be found by multiplying the length of the base by the height.The sum of the interior angles of a parallelogram is equal to 360 degrees.The opposite sides of a parallelogram are congruent.Learn more about parallelogram on https://brainly.com/question/20526916
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(b) Find the sum of first twenty terms of the following arithmetic progressions A.P
(i) -4,-1, 2,...
(ii) 2, 3, 5,...
(iii) -2, -5, -8, -11,...
Answer:
-4*20+3*190=490
2*20+190=230
-2*20-3*190=-610
The lines y = 3x + 4 and y = 3x - 17 are perpendicular
Answer: No
Step-by-step explanation: Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).
Use the square root property of equality to solve
(x - 3)2 = -4.
The solutions are
Answer: 3 +\- 2i
Step-by-step explanation:
Just took the assignment
Answer:
c. 3 +\- 2i
Step-by-step explanation:
edge 2020
10. The set of prime numbers greater than 11 with the cardinality of 5.
The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}
How to determine the setFrom the question, we have the following parametes that can be used in our computation:
Set = prime numbers
Cardinality = 5
The cardinality implies that the number of elements in the set is 5
5 prime numbers greater than 11 are 13, 17, 19, 23, 29
Hence, the set is {13, 17, 19, 23, 29}
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A chicken traveled 4.5 miles in 30 minutes . A squirrel traveled 4 miles in 20 minutes . Which animal traveled at a faster rate ?
Answer:
The squirrel
Step-by-step explanation:
4.5/30 is 0.15 per minute while the squirrel is 4/20 which equals 0.2 per minute. 0.2 is greater than 0.15 making the squirrel faster. Hope this helps!
2 1/4 - 1/15
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEE
Answer:
2 11/60
Step-by-step explanation:
15/60 -4/60=11/60
2+11/60=2 11/60
double the difference of 25 and 10 is
Answer:
30
Step-by-step explanation:
25-10 = 15
15 x 2 = 30
------------------
First we must get the difference between 25 and 10.
\(25 - 10 = \green{15}\)
Next, we must double the answer.
\(15 \times 2 = \bold \blue{30} \\ \tt or \\ {15}^{2} = \purple {\sf{30}}\)
Therefore, the answer is 30.Stay safe!
what is the calculation of
\(2 5 \6 - (4 1 \3 - 3 \2)\)
25 ( 39 -9)
6 (6)
25 × 30
6 6
125
6
20 5 [ans]
6
Radhika buys papaya at the rate of p(x) = x² – 12x – 220 per kg
(i) the factors of the given polynomial
(ii) if she purchase 5kg papaya, what money she have to pay?
Answer:
(i) The factors of the given polynomial is (x – 22) and (x + 10)
(ii) If she purchase 5kg papaya then she pays 110
Step-by-step explanation:
Given;p(x) = x² – 12x – 220 per kgTo Find;The factors of the given polynomialif she purchase 5kg papaya, what money she have to pay?(i)Now,
x² – 12x – 220 = 0
Splitting the middle term
x² – 22x + 10x – 220 = 0
x(x – 22) + 10(x – 22) = 0
(x – 22) + (x + 10) = 0
x – 22 = 0 or x + 10= 0
x = 22 or x = -10
Here, (-10) is the negative value hence it is not possible
So, The value of x is 22
The factors of the given polynomial is (x – 22) and (x + 10)
(ii)if she purchase 5kg papaya then,
we know the price of 1 kg papaya i.e., 22 per kg
So,
5 × 22 = 110
Thus, if she purchase 5kg papaya then she pays 110
-TheUnknownScientist 72
Yesterday Isabel exercised 15 minutes longer than she exercised today. Yesterday she exercised for 40 minutes. Which equation can be used to find m, the number of minutes Isabel exercised today?
Yesterday = She exercised 15 min more than today (m + 15 )
Yesterday = 40 min of exercises
m = number of minutes Isabel exercised today
m + 15 = 40
Option A
What formula could you use to help find the area of the given triangle?
Answer:
Since it is a right triangle, you can use pythagorean theorem to find the missing side.
Step-by-step explanation:
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
1. The slant height of a cone is 5cm and the radius of its base is 3cm. Find correct to the nearest
whole number the volume of the cone (A) 48cm3 (B) 47cm3 (C) 38cm3 (D)13cm3
The volume of the cone is 13 cm³. option D
How to determine the volumeTo determine the volume of the cone, we have that;
The formula for calculating the volume of a cone is expressed as;
Volume = (1/3)πr ²√(L ² - r ²).
Such that;
r is the radiusL is the slant heightSubstitute the values, we have;
Volume = 1/3 × 3.14 ² × √(25 - 9)
Find the squares, we get;
Volume, V = 1/3 × 9. 86 × √16
Find the square root
Volume, V = 1/3 × 9.86 × 4
Volume, V = 13 cm³
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b)Given 0º < x < 360° , solve for x in:
2 sin (2x - 30°) = √3.
Answer:
180°
because x is the mid pf 0° and 360°
Write a function for the sinusoid (the curve).
У
(2,5)
14
(1, -1)
3
1
Choose...
3 cos x + 2
The function is f(x) = 3 sin x
3 sin x
3 cos x
2 X
The equation of the sinusoid function is:
3 Sin πx + 2.
Let's analyze the given options to find the correct equation:
a. 3 Cos πx + 2:
This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.
b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.
c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:
To determine if the period is correct, we need to calculate the x-values when the function repeats itself.
In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.
sin(πx) = 0 when πx = 0, π, 2π, 3π, ...
Solving for x, we have:
πx = 0 ⟹ x = 0
πx = π ⟹ x = 1
πx = 2π ⟹ x = 2
πx = 3π ⟹ x = 3
From this, we can see that the function repeats itself every integer value of x, which matches the given information.
Therefore, option (c) is the correct equation: 3 Sin πx + 2.
Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.
Hence, the equation of the sinusoid function is:
3 Sin πx + 2.
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The days of training a new employee needs are normally distributed with a population standard deviation of 3 days and an unknown population mean. If a random sample of 23 new employees is taken and results in a sample mean of 18 days, use a calculator to find a 90% confidence interval for the population mean.
Answer:
90% confidence interval for the population mean
(16.971 , 19.029)
Step-by-step explanation:
Step(i):-
Given mean of the sample x⁻ = 18 days
Standard deviation of the Population 'σ' = 3 days
Given sample size 'n' =23
Step(ii):-
90% confidence interval for the population mean is determined by
\(((x^{-} - Z_{0.10} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.10} \frac{S.D}{\sqrt{n} } )\)
Critical value Z = 1.645
\(((18 - 1.645 \frac{3}{\sqrt{23} } , 18+ 1.645 \frac{3}{\sqrt{23} } )\)
(18 -1.029 , 18 + 1.029)
(16.971 , 19.029)
final answer:-
90% confidence interval for the population mean
(16.971 , 19.029)
A function is represented by the graph. Complete the statement by selecting from the drop-down menu. The y-intercept of the function y=3x+2 is
A.greater than
B.less then
C.equal to
the y-intercept of the function represented in the graph.
Answer:
the y intercept is 2 in both cases
Step-by-step explanation:
the y intercept is where it crosses the y axis
y intercept =2
the function y = 3x+2 is in the form y= mx+b
where b is the y intercept
b=2 so the y intercept is 2
2=2 so the y intercepts are equal
Write the equation of the line. , ILL MARK BRAINLIST
Step-by-step explanation:
line equation
we know that the equation on the line is given by y equals MX plus b, where M & B are numbers it's is its slope and b is it's y - intercept.
in order to find the equation we must find m and b.
we are going to use two points where the line crosses, in the figure we can see that it crosses points
(0, 4) and (2,1).
staff one first, we change of each variable from point 1 to point to
then, our equation should look like
y = -3/2x + 4
Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
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what is 8.75% of 58.45
explain
Answer:
5.1143
Step-by-step explanation:
hope it helps
Graph the linear equation.
x = 6
Use the graphing tool to graph the linear equation.
The graph of the linear equation, x = 6, is shown in the image attached below.
How to Graph the Equation of a Vertical Line?The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.
Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.
Thus, the graph of the linear equation, x = 6, is shown in the image attached below.
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