Answer:
690
Step-by-step explanation:
The multiples of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57+60+63 which gives you 690.
Hope this helps, have a good day! :D
Answer: ∑=690
Step-by-step explanation:
Let's use the formulas for an arithmetic progression:
[tex]a_1=6 \ \ \ \ \ a_n=63\ \ \ \ d=3\\a_n=a_1+(n-1)d\\63=6+(n-1)3\\63=6+3n-3\\63=3+3n\\63-3=3+3n-3\\60=3n\\[/tex]
Divide both parts of the equation by 3:
[tex]20=n[/tex]
Thus,
[tex]\displaystyle\\\sum=\frac{a_1+a_n}{2} n\\\\\sum=\frac{6+63}{2}20 \\\\\sum=\frac{69*20}{2} \\\\\sum=69*10\\\\\sum=690[/tex]
What is the simplified value of the expression, below, when x = 4 and y = 6? Leave your an
simplified fraction
Show all steps for full credit. Circle your final answer. (4 points).
3x - y/
2y + x please help
Answer:
2
-
2 - 4 ^ 5
Step-by-step explanation:
Find the coordinates of the point 7/10 of the way from A to B.
(-1/5, 37/70) are the coordinates of a point 7/10 of the way between A and B.
What exactly is the section formula?In coordinate geometry, the Section formula is used to obtain the ratio of a line segment separated by a point, whether in internally or externally.It finds the triangle's centroid, incenter, and excenter.Let P be the point 7/10 of the way from A to B. This implies that it partitions P in the 7:10 ratio (AP/PB = 7/10).
Should use section formula to find the coordinates, which is given as:
x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Where,
(x₁, y₁) = A(-4, -7)
(x₂, y₂) = B(11, 5)
m = 7 and n = 10.
Put the values to obtain the x and y coordinates of point P.
y = (7×5 + 10(-7))/(7 +10)
On solving;
y = -1/2
Solve for x coordinates;
x = (7(11) + 10(-4))/(7 +10)
on solving;
x = 37/70
Therefore, the coordinates of a point 7/10 a way from A and B is (-1/5, 37/70).
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Consider sets a = { x | x is a prime number less than 7} and b = { y | y is perfect square of an integer and y is less than 29}. what is the cardinality of the cartesian product of a and b ?
The cardinality of the cartesian product of A and B is 18.
Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.
Cardinality of a set is defined as the number of elements in that particular set.
For example, for a set A={2,6,4} , the cardinality is 3.
Given set A= { x | x is a prime number less than 7}
A={2,3,5}
set B = { y | y is perfect square of an integer and y is less than 29}
B={0,1,4,9,16,25}
The cartesian product of A and B denoted by AxB will be
AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}
The number of elements in AxB is 18.
Therefore , the cardinality of the cartesian product of A and B is 18.
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This figure is composed of a parallelogram and a trapezoid.
32 cm
26 cm
40 cm
T
16 cm
1
What is the area of the figure in square centimeters?
Answer:
944cm²
Step-by-step explanation:
Area = Area of parallelogram + Area of trapezoid
Area of parallelogram= l× b= 16×26= 416cm²
Area of trapezoid= h/2(a+b)
where a=26cm, b=40cm, h=16cm
Area of trapezoid= 16/2(26+40)=8(66)=528cm²
Area= 416+528=944cm²
find the length of each segment with the given endpoints
(3, -2) and (-4, 7)
Exact Distance: [tex]\sqrt{130}[/tex] units
Approximate Distance: 11.4018 units
===================================================
Explanation:
Use the distance formula to have the following steps
[tex](x_1,y_1) = (3,-2) \text{ and } (x_2, y_2) = (-4,7)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-4))^2 + (-2-7)^2}\\\\d = \sqrt{(3+4)^2 + (-2-7)^2}\\\\d = \sqrt{(7)^2 + (-9)^2}\\\\d = \sqrt{49 + 81}\\\\d = \sqrt{130}\\\\d \approx 11.4018\\\\[/tex]
The exact distance is [tex]\sqrt{130}[/tex] units
This approximates to about 11.4018 units.
Tyler solves an equation. His work is shown.
Step
Original equation 10x = -4(2x-9)
10x = -8x +36
2
X=2
1
2
In step 2, Tyler uses the addition property of equality.
Create the equation that could show the missing step.
The equation which could show the missing step in Tyler's solution to the equation as requested in the task content is; 10x + 8x = 36.
What is the solution that could show the missing step in Tyler's solution to the equation as requested in the task content?It follows from the task content that the missing step in the solution steps is to be determined.
Given an equation;
10x = -4(2x-9)
By distributing -4 on the right hand side, we have;
10x = -8x + 36
The next step which is therefore the missing step is;
Add 8x to both sides of the equation so that we have;
10x + 8x = 36
18x = 36
Divide both sides by 18, so that we have;
x = 2 as obtained in the task content.
Ultimately, the equation which could show the missing step in Tyler's solution to the equation as requested in the task content is; 10x + 8x = 36.
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Describe maysa's error. explain how you would use a model or place-value concepts to help maysa build understanding. give the correct answer in your explanation.
2/3 would use a model or place-value concepts.
What is probability?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.The possible rolls are 1,2,3,4,5,6 total of 6
2 or less than 5 rolls are 1,2,3,4 total of 4
P (2 or less than 5) = total number of choices of 2 or less than 5 / total
=4/6
=2/3
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HELP PLEASEEEI’ll
Make you brainlist
Answer:
Step-by-step explanation:
0,5 0.6 and 0.5 again? sorry i might be wrong if i am my apologies
Briana wrote an integer. The opposite of her integer is -53. Which of these statements about Briana’s integer must be true?
Select two answers.
Group of answer choices
The integer is 53
The integer has an absolute value of -53
The integer is -53
The integer has an absolute value of 53.
Answer:
The integer is 53The integer has an absolute value of 53.Step-by-step explanation:
The opposite of an integer is the negative of that integer.
The absolute value of an integer is its distance from 0
Simplify (9-2a)-(4+3a)
Answer:
subtract the numbers[tex]9 - 4 =5 = -5a + 5[/tex]
Step-by-step explanation:
( a ) = a
( 9 - 2a ) = 9 - 2a
= 9 - 2a - 4 -3a
- (a + b ) = -a -b
-( 4 + 3a ) = -4 - 3a
= - 2a - 3a + 9 - 4
- 2a - 3a = - 5a = -5a + 9 - 4
give me a thanks
When analyzing three linear functions, Bill noticed that they all intersect at the point (10,10). What conclusion can Bill come to about the linear function with the largest slope?
a. It has the highest y-intercept.
b. It has the middle y-intercept.
c. It has the lowest y-intercept.
d. Bill cannot conclude anything.
I will give brainliest if you explain
Answer:
See below
Step-by-step explanation:
The first one scales UP from 4 to 6 F'G'/FG = factor is 6/4 = 1.5
second one scales DOWN from 4 to 3
F'G' / FG = scale factor is 3/4
Third one is scaled DOWN
F'G' / FG = 2/4 = 1/2
Note when scale is DOWN the factor is less than one
when scale is UP , factor is more than one
4x+2(x+6)=36 ummm.....what?
Answer:
x = 4
Step-by-step explanation:
4x + 2(x + 6) = 36
4x + 2x + 12 = 36
6x = 36 - 12
6x = 24
x = 24
6
x = 4
I am a two-dimensional shape.
I have two pairs of parallel sides.
I have no axis of symmetry.
What am I?
Answer: Non-rectangular Parallelogram
The opposite sides are parallel, but the figure is not a rectangle. It's also not a square either since those figures have an axis of symmetry.
Rani is making rice pudding. She uses
cup
cup of white rice for every 2 cups
of milk. How many cups of rice does she need when she uses 3 cups of
milk?
Rani will use 3/2 cups of white rice for 3 cups of milk.
What is termed as unitary method?"It is a method in which we obtain the value of a single unit by subtracting the value of multiple units and thus the value of multiple units by subtracting the value of a single unit."
The value of several things is given in the unitary method, and we must either figure out the significance of more or lesser things. To do so, we must first determine the value of one item by division and then determine the value of ever more or fewer items by multiplication.Now, for the given question;
1 cup of white rice is required for every 2 cups of milk by Rani.
Thus,
2 cups of milk ------> 1 cup of white rice.
So, using unitary method. Divide both side by 2.
1 cups of milk ------> 1/2 cup of white rice.
Now, calculate for the 3 cups of milk.
multiplying both side by 3.
3 cups of milk ------> 3/2 cup of white rice.
Therefore, the 3/2 cups of white rice required for the 3 cups of milk.
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Given the inequality −6
The absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12
How to complete the inequality?The inequality expression is given as
-6 < x < 18
The distance is calculated as:
Distance = |18 -(-6)|/2
Evaluate the difference
Distance = 12
The midpoint is calculated as:
Midpoint = 0.5 * (18 - 6)
Evaluate
Midpoint = 6
The absolute value inequality is represented as
|x - Midpoint| < Distance
So, we have
|x - 6| < 12
Hence, the absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12
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Evaluate the function f(x)= |x+4|−5 for
Answer:
f(-1) = |-1+4| - 5 = -2
f(0) = |0+4| -5 = -1
f(2) = |2+4| -5 = 1
A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is $3/2$ times the probability that a freshman is elected. Everyone on the junior varsity swim team is either a freshman or sophomore. What fraction of the swim team are sophomores?
Using the probability concept, it is found that 60% of the swim team are sophomores.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The sum of the probabilities of all outcomes of an event is of 1, hence:
P(freshman) + P(sophomore) = 1.
The probability that a sophomore is elected is $3/2$ times the probability that a freshman is elected, hence:
x + 3/2x = 1.
5/2x = 1
5x = 2
x = 0.4.
Thus:
40% of the swim team is composed by freshman.60% of the swim team is composed by sophomores.More can be learned about probabilities at https://brainly.com/question/14398287
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1. Which one of the following is a solution of 5x + 3y = 11?
A. (-1, 2)
B. (2, -1)
C. (2, 1)
D. (1, 2)
E.(1/5,3)
You are given two wind instruments of identical length. one is open at both ends, whereas the other is closed at one end. which is able to produce the lowest frequency?
The wind instrument with the closed end.
Why is it known as a node?
Node is the actual name in use. It was initially intended to be used as a web application, but the author changed the name to node after realizing it could be applied to a variety of situations.
Pipe standing wave resonances exhibit a number of intriguing characteristics. When sounding a resonance, the closed end of the pile must have a "node." An "anti-node" is required if a pipe's end is open.The lowest frequency resonance occurs in the case of a pipe that is closed at one end when there is just one node at the closed end and an anti-node at the other end. This sound has a wavelength that is four times as long as the pipe. This is referred to as a quarter-wave resonator.When a pipe is opened on both ends, the lowest frequency resonance has an anti-node at either end and a node in the center. A half-wave resonance is present here; The pipe is able to contain half of the wavelength. The frequency of this resonance will be twice that of the closed pipe if this pipe is the same length as the closed pipe.Learn more about node
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If tanθ= 3/4, find sin θ
P= 3
b=4
By using pythagorus therom,
h^2=p^2+b^2
=3^2+4^2
=9+16
=25
h =5
now,
sin(theta)= p÷h
=3÷5
What price do farmers get for their watermelon crops? in the third week of july, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. assume that is known to be $2.00 per 100 pounds.
We have given a sample size of n=40
Sample mean ¯x=$6.88 per 100 pounds
Population standard deviation= 1.96 per 100 pounds
First, we need to find the value of z α /2 =z (1−0.90/2)
Z (α/2) =z0.05
Z (α/2) =1.645
(a)The required 90% confidence interval is;
¯x ± margin of error
¯x ± z (α/2) * σ/sqrt 40
6.88 ± 1.645 * 1.96/sqrt 40
6.88±0.5097
(6.38,7.38)
Therefore, the lower limit is $6.38 per 100 pounds.
The upper limit is $7.38 per 100 pounds.
The margin of error is 0.50 per 100 pounds.
(b) to have the maximum of E, we use the formula;
n= (z (α/2)×σ/E) ^2
n= (1.645× (1.96/0.41)) ^2
n=61.84≈62
Therefore, the required farming region will be 62.
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#15: m∠NST = ____°
need answer
Answer:
∠ NST = 59°
Step-by-step explanation:
∠ NST and ∠ LSN form a right angle , that is
∠ NST + ∠ LSN = 90
3x - 1 + 2x - 9 = 90
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Then
∠ NST = 3x - 1 = 3(20) - 1 = 60 - 1 = 59°
|−9| − |−5| i hate next gen but help pls
Answer:
4
Step-by-step explanation:
[tex]\mathrm{-9 = 9, -5 = 5,\:because\:they\:are\:in\:absolute\:value}\\9 - 5 = 4[/tex]
Answer:
-4
Step-by-step explanation:
−9 − (−5)
Multiply
−1 by −5.
−9 + 5
Add
−9 and 5.
you get...
−4
6/5 Given that and k are roots of the quadratic equation = h(x-2), where h is a constant. Find the values (5x-6)(x+2) of h and k.
Use the Angle Addition Postulate to find the measure of the unknown angle
Answer:
103
Step-by-step explanation:
61+42 = 103
please help me out with 2, 5, 8, 9, 7, and 10!
Considering the condition for a relation to be a function, we have that:
These items represent functions: 2, 5, 9, 10B.These items do not represent functions: 7, 8, 10A.When does a relation represents a function?A graph represents a function if each value of the input is mapped to only one value of the output.
When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
Hence:
The table in item 2 represents a function, as each value of x is mapped to only one value of y.The relation in item 5 represents a function, as each value of x is mapped to only one value of y.The table in item 7 does not represent a function, as the input -4 is mapped to two outputs, -2 and 2.The relation in item 8 does not represent a function, as the input 1 is mapped to two outputs, -1 and 1.The graph in item 9 represents a function, as it has no vertically aligned points.The table A in item 10 does not represent a function, as the input -9 is mapped to multiple(four) outputs.The table B in item 10 represents a function, as each value of x is mapped to only one value of y.More can be learned about relations and functions at https://brainly.com/question/12463448
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A printing service charges a set-up fee of $10.00 for each order and 8 cents more for each copy. The total cost, C (in dollars), for an order of x copies is given
by the following function.
C(x) = 10.00 +0.08x
What is the total cost for an order of 50 copies?
Answer:
$14 for 50 copies.
Step-by-step explanation:
Given that,
→ C(x) = 10.00 + 0.08x
Then the cost for 50 copies will be,
→ C(50) = 10.00 + (0.08 × 50)
→ C(50) = 10.00 + 4
→ [ C(50) = $14 ]
Hence, the total cost of $14.
Give 3 example of real life function with rule of correspondence input and output
1.
2.
3.
Here are the examples of functions in real life.
1. ATM
If you want to withdraw money from your account, the amount of money dispensed by the machine is the amount you request{input}.As a result, the amount requested is a function of the amount distributed{output}. The machine will never give you more or less than what you asked for.
2.Places you can drive with Two Gallons of Fuel
If you still have two gallons of gas in your car's tank, you can visit several locations before running out of gas. As a result, there could be several answers to this question. In this case, the input is two gallons of fuel, and the output is a list of places you can visit with that amount of fuel.
3. Number of Sodas in a Vending Machine
The number of sodas you get from a vending machine is determined by the amount of money you put into it. If you put the same amount in twice and choose the same soda, you will get the same number of cans as you did the first time. In this case, the number is determined by the amount fed into the machine.
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21 ones + 153 thousandths
Answer:
21.153
Hope this helps! (:
Answer:
21.153
Step-by-step explanation:
(Don't confuse thousandths for thousands.)
21 + 0.153 = 21.153