Answer:
First term: 5
Fourth term: 5 1/2
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
log3 (7x - 1) = log2 (5x +17)
SOLVE.
Answer:
x=1.113317
Step-by-step explanation:
It’s a statistics mathematical question
Answer: About 0.8034 of the items will be classified as good.
Step-by-step explanation:
Let's first understand that because 13% of the items are defective, that means 87% of the items are not defective. And because the inspector incorrectly classifies the items 9% of the time, it's important to understand that that means both the defective and the not defective items may be incorrectly classified. In order to figure out what proportion will be classified as 'good,' let's set up a tree diagram:
--0.13--defective
|__0.09__ classified as 'good'
|__0.91__ classified as 'defective'
--0.87--not defective
|__0.09__ classified as 'defective'
|__0.91__classified as 'good'
This chart essentially reiterates the information in the prompt, showing that 9% of each type of item will be incorrectly classified. Now we need to find the proportion of items that will be classified as 'good.' To do this, we must multiply the proportion of items classified as 'good' by the proportion of items that are either defective or not defective for both types, like this:
(0.13 * 0.09) + (0.87 * 0.91)
this expression in words means: "13% of the items will be classified as good 9% of the time, and the other 87% of the items will be classified as good 91% of the time"
When we multiply and add these numbers together, we get 0.8034, but you should round to 2 or 3 decimal places like the prompt instructs. Hope this helped! :)
PLEASE HELP I NEED TO PASS THIS TEST!!! (first actual answer gets brainliest)
Iliana rotated trapezoid WXYZ 180° about the origin.
*graph below*
What is the correct set of image points for trapezoid W’X’Y’Z’?
Answer:
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)
I hope this helps you. If you can give brainliest that would be greatly appreciated.
Answer:
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
Step-by-step explanation:
look at picture
8 inch by 6 inch retangular photo inside a 10 inch by 8 inch rectangular fram how much greater is the perimeter of the frame
The perimeter of frame is 1.29 greater
Step-by-step explanation:
Perimeter of a rectangular shape object is given by the formula;
2(l+w) when, l is length and w is width
Perimeter of the photo is;
2(8+6)= 2(14) =28 inches
Perimeter of the frame is;
2(10+8)= 2(18) =36 inches
Divide perimeter of frame by that of photo as;
36/28 =1.29
The perimeter of frame is 1.29 greater
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Sallys basketball team played 6 games . They scored 76 points in the first game , 88 points in each of the next two games , and 92 points in each of the following two games . The team scored 515 points altogether . Write an expression and calculate the number of points they scored in the last game .
The expression is 436 + x = 515
The number of points they scored in the last game is 79
Step-by-step explanation:
Sally's basketball team played 6 games
They scored 76 points in the first game88 points in each of the next two games92 points in each of the following two gamesThe team scored 515 points altogetherWe need to write an expression and calculate the number of points they scored in the last game
Assume that the score of the last game is x
∵ Sally's basketball team played 6 games
∵ The score of the first game is 76 points
∵ The score of the next two games is 88 points each
∴ The score of the 2nd game is 88 points and the score
of the 3rd game is 88 points
∵ The score of each following two games is 92 points
∴ The score of the 4th game is 92 points and the score
of the 5th game is 92 points
∵ The score of the 6th game is x points
- Add all of them to find the total score of the 6 games
∴ The total score = 76 + 88 + 88 + 92 + 92 + x
- Add the like terms
∴ The total score = 436 + x
∵ The team scored 515 points altogether
- Equate the expression of the total by 515
∴ 436 + x = 515
- To find the value of x subtract 436 from both sides
∴ x = 79
∴ The score of the last game is 79 points
The expression is 436 + x = 515
The number of points they scored in the last game is 79
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We formulate an expression to represent the overall score of Sally's basketball team and solve for the final game's score. The outcome of the expression found that Sally's team scored 79 points in the last game.
Explanation:The subject of this question is regarding basketball scoring, which falls under the subject of mathematics, specifically algebraic expressions. The first step in finding out how many points were scored in the last game by Sally's basketball team is to write an expression that represents the total points scored in all games. This could be done as follows:
76 (first game score) + 88*2 (second and third game score) + 92*2 (fourth and fifth game score) + X (sixth game score) = 515 (total score)
To resolve this expression, you first do the multiplications and then the additions. This results in the partial sum of 436 points for the first five games.
Next, subtract this partial sum from the total score (515-436), the outcome is 79.
Therefore, Sally's basketball team must have scored 79 points in the last game.
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can somebody please let me know what the formula would be flipped?
Step-by-step explanation:
The flipped formula would be:
[tex]C = \frac{5}{9} (F - 32) \\ [/tex]
The drink dispenser in a fast food restaurant holds 250 liters
Question:
A drink dispenser in a fast-food restaurant holds 250 litres of lemonade. How many 0.6-litre drinks can be dispensed before a refill is needed?
Answer:
The number 0.6-litre drinks can be dispensed before a refill is needed is 416
Step-by-step explanation:
Given:
The capacity of the drink dispenser = 250 litres
To Find:
Number of 0.6-litre drinks can be dispensed before a refill is needed = ?
Solution
Let the number of 0.6-litre drinks can be dispensed before a refill is needed be x
Then
[tex]x = \frac{ \text{total capacity of the dispenser}}{\text{0.6-litre drinks}}[/tex]
On substituting the values we get
[tex]x = \frac{250}{0.6}[/tex]
x = 416. 667
Thus only 416 can be filled
1. What is the fourth term of the
sequence 4, 8, 12, 16, 20, 24,
Answer:
16
Step-by-step explanation:
bruh, it's right there
Answer:
16
Step-by-step explanation:
it's the fourth number in the pattern
robin wants to find the area of the triangle below. to find the area of a triangle, multiple the base times the height and then divide by 2. the base and height of the triangle are shown. represent the area of the triangle with numerical expression.
Answer:
6
Step-by-step explanation:
Base = 4 in
Height = 3 in
Area= 1/2 Base * Height
Area = 1/2 * 4 * 3
Area = 1/2 * 12
Area = 6
Loc weighs 14 pounds. The HCP prescribes an IV infusion of 5% dextrose in 1/4 normal saline to be infused at 8mL/kg/hr. How many mL of the prescribed solution should the nurse infuse each hour?
After converting the patient's weight from pounds to kilograms, it is multiplied by the prescribed infusion rate to calculate that approximately 50.88 mL of the IV solution should be infused each hour.
The question involves calculating the volume of IV fluid to infuse per hour based on the weight of the patient and an ordered flow rate. Given that Loc weighs 14 pounds, we need to convert his weight to kilograms to match the units given in the infusion rate (8mL/kg/hr). There are 2.2 pounds in one kilogram.
To find Loc's weight in kilograms, we divide his weight in pounds by 2.2:
Weight in kilograms =Weight in pounds / 2.2 = 14 pounds / 2.2 = 6.36 kilograms (rounded to two decimal places)
Next, we multiply Loc's weight in kilograms by the prescribed infusion rate to determine the flow rate:
Infusion volume per hour =
Weight in kilograms × Infusion rate = 6.36 kg × 8 mL/kg/hr = 50.88 mL/hr (rounded to two decimal places)
Therefore, the nurse should infuse approximately 50.88 mL of the prescribed solution each hour.
How do you write 40.545 in word form
The requried word form of the given number is forty and five hundred forty-five thousandth.
What is a number system?A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
Since the given number is of decimal form.
A word form of the given number 40.545 is given as,
40.545 = forty and five hundred forty-five thousandth.
Thus, the requried word form of the given number is forty and five hundred forty-five thousandth.
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What is (2x + 3y)^4?
Answer:
the answer is 8x+12y
Step-by-step explanation:
How do simplify 4(x-3)+5(x-3)
Answer:
9x-27
Step-by-step explanation:
4(x-3)+5(x-3)=4x-12+5x-15=4x+5x-12-15=9x-27
simplify the expression 2a + 5b² - a - b - 3b²
Answer:
a+2b²-b (correct order is 2b²+a-b)
Step-by-step explanation:
combine like terms ( terms with the same variable and are to the same power) so thats 5b² and -3b² and 2a and -a. the -b doesnt have any like terms so leave that alone for now. combine like terms 5b²-3b² is 2b² and 2a-a is a. so you have 2b²+a and plug in the -b so you get 2b²+a-b.
Answer:
a-b+2b^2
Step-by-step explanation:
collect like terms
2a-a-b+5b^2-3b^2
a-b+2b^2
Does the example showing 1/2 × 2/5 support a similar rule when multiplying a fraction by a fraction less than 1
Final answer:
The multiplication of fractions, such as 1/2 × 2/5, follows the principle of multiplying the numerators and denominators to get the product. This supports the rule that the product of any two fractions is the quotient of the products of their numerators and denominators, which also holds true for fractions less than 1.
Explanation:
The multiplication of fractions, regardless of whether the fractions are less than 1 or not, follows the same basic principles. When multiplying two fractions, you multiply the numerators together and the denominators together. For example, when you multiply 1/2 by 2/5, you multiply the numerators (1 and 2) to get 2, and the denominators (2 and 5) to get 10. The result is 2/10, which simplifies to 1/5. This process supports the general rule of fractional multiplication.
Similarly, when dealing with a fraction such as 1/2 and a fraction less than 1, the product will be less than the original fraction (1/2 in this case). This is because you are multiplying by a number that is less than the whole. For instance, if you multiply 1/2 by 1/3, you get 1/6, which is indeed less than 1/2.
In the context of fractional exponents, the exponent represents the root of the number. So, an exponent of 1/2 would mean the square root.
What are the answers for a,b,c
Answer:
a=51
b=48
c=70
Step-by-step explanation:
C=180-110=70
a=180-110-19=51
b=180-70-62=48
what is 2.99 times 0.150 ?
Answer:
0.4485
Step-by-step explanation:
2.99 times 0.150 = 0.4485
Write a four digit number that is divisible by 3 and 5
Answer:
There are many numbers like 1005, 3000, and 2700.
Step-by-step explanation:
The divisibility rule for 3 is the sum of the numbers is divisible by 3. example is 111. well 1+1+1 is 3 so its divisible by three.
The divisibility rule for 5 is any number that ends in 5 or 0.
If you have any questions feel free to ask in the comments - Mark
What is x equal to in this equation: 6(x - 2) = -18
1. Which figure has a circumference of
31.4 centimeters?
Figure A Figure C
Figure B. Figure D
Answer:
Figure B
Step-by-step explanation:
Circumference of a circle is simply the length of the boundary of the circle which can be measured by the formula of [tex]2\pi r[/tex]
In the figure B the given radius in the figure is 5
Putting 5 in the formula to find the circumference of the circle gives
[tex]2\pi *r[/tex]
= [tex]2*3.14*5[/tex] : [tex]\pi =22/7=3.14[/tex]
Circumference of the circle in fig B = 31.4 cm
So, Circle in the figure B will have the circumference of 31.4 cm. Also the Circumference of the fig A, C and D are different and are not equal to 31.4 cm
Kathy is paid a project fee of $70 plus $40 per hour. she wants to buy a new iPad and need $710. write an equation to represent how many hours(h) kathy needs to work to have the exact amount for the iPad
Answer:
70+40h=710
Step-by-step explanation:
A bag contains 2 red, 5 blue, and 3 green balls. A ball is chosen at random. What is the probability of not choosing a red ball?
Answer:
Step-by-step explanation:
Let f(x) = (x^2+3x-5)/(x^2-8x+15) What is the domain of f(x) ?
Answer:
So, Domain = {set of all the real numbers except 3, 5}
Interval notation = {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}
Step-by-step explanation:
The given function is f(x) = [tex]\frac{x^2 + 3x - 5}{x^2 - 8x + 15}[/tex]
Here we need to find the domain.
To find the domain, let's find the restricted domain.
If we set the denominator equal to zero and solve for x, we can find the restricted domain.
Here the denominator is [tex]x^2 -8x + 15 = 0[/tex]
Now we can factorize and solve for x.
(x - 3)(x - 5) = 0
(x - 3) or (x - 5) = 0
x -3 = 0 and x - 5 = 0
Solving the above equations, we get
x = 3 and x = 5
The restricted domains are x = 3 and x = 5.
Now we can find the domain.
Except 3 and 5, all the real numbers can be domain of this function.
So, Domain = {set of all the real numbers except 3, 5}
= {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}.
Answer: all real numbers except 3, 5
Step-by-step explanation:
A segment is dilated, and the resulting segment is shorter than the original.
Which of the following options could be the scale factor of the dilation?
Select all that apply.
3/8
1
5
1/5
Answer:
3/8 and 1/5
Step-by-step explanation:
If the scale factor is 1 then it stays the same. If it's larger than 1 then is gets larger, so the fractions, which are smaller than 1, would make it shorter.
hope this helped :)
Answer:1/5 and 3/8
Step-by-step explanation:
If n=3 then what is (4n-2) (7-2)
The value of equation when n = 3 is 50
Solution:
Given equation is:
[tex](4n -2)(7-2)[/tex]
We have to find the value of equation when n = 3
By plugging in n = 3 in given equation we can find the value of given equation
Substitute n = 3 in given equation
[tex]\rightarrow (4(3) -2)(7-2)\\\\Solve\ the\ above\ equation\\\\\rightarrow (12-2)(7-2)\\\\\rightarrow (12 - 2)(5)\\\\Simplify\ the\ above\ equation\\\\\rightarrow 10 \times 5 = 50[/tex]
Thus the value of equation when n = 3 is 50
What is -5/6 time -6/5
Answer:
1
Step-by-step explanation:
you are just multiplying by the reciprocal here which would make this equal to 1
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Total score:
of 15 points
(Score for Question 1: __of 4 points)
1. To go bowling, it costs $2.00 to rent shoes and $3.50 per game. The function t(x) = 3.5x + 2 is used to find the
total cost, 1, for x amount of games. Find the following and show all work:
(a) What is the charge to play 1 game?
(b) What is the charge to play 5 games?
Please help
Answer:
A). $5.50
B).19.50
Step-by-step explanation:
A). 3.5(1)+2=5.50
B). 3.5(5)+2=19.50
All you are are doing is inputing the number of games played (x) in for x in the function/equation.
solve 4√2 as the square root of a single number
Step-by-step explanation:
[tex]4 \sqrt{2} = \sqrt{ {4}^{2} \times 2} = \sqrt{16 \times 2} = \sqrt{32} [/tex]
Will give Brainliest if answer is correct!
Answer:
a|| b then
<6=<4=<2=146
A landscaping company is putting small stones around a circular fish pond with a diameter of 5.5 yards. If each bag of stones fills a distance of 4 yards, how many bags do they need
Answer:
2
Step-by-step explanation:
If one bag of stones is sufficient to fill the distance of 4 yards , then to complete 5.5 yards of pond boundary, 2 bags are enough.
What is distance?Distance is a physical quantity measuring the length over an area covered by an object or place. The change in distance is called displacement. For a moving object the distance is the product of its speed and time take to cover the distance.
Distance can be measured in meter, kilometer, feet, yard etc. These units can be interchanged in between based on the relationship between them.
It is given that the diameter of the circular fish pond is 5.5 yards. One bag of stones can fills a distance of 4 yards. of the pond. Then two bag of stones is enough to fill up the total distance of 5.5 yards.
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