Final answer:
The room is not a square, as shown by applying the Pythagorean theorem, because the calculated diagonal of a square with 17-inch sides would be approximately 24.04 inches, not 18.79 inches.
Explanation:
To determine if the room is in the shape of a square, we can use the Pythagorean theorem, which relates the lengths of the sides of a right-angled triangle. For a square, the lengths of all four sides are equal. Therefore, if we assume that the length and the width of the room are both equal to the given wall length of 17 inches, the diagonal (d) of the square can be calculated using the Pythagorean theorem:
c2 = a2 + b2
where c is the length of the diagonal, and a and b are the lengths of the sides of the square.
So, it would be:
c2 = 172 + 172
= 289 + 289
= 578
Now we find the square root of 578 to find the length of the diagonal (c):
c ≈ √578 ≈ 24.04 inches
Since the given diagonal length is approximately 18.79 inches, and our calculated value for the diagonal of a square with sides 17 inches is approximately 24.04 inches, the room is not a square. The diagonal is too short for the room to be a square given the 17-inch wall.
Jasmine practices the piano for 10 minutes on Monday. Every day she increases her practice time by 5. If she continues this pattern, how many minutes will she practice on the 7th day?
Answer:
40 minutes
Step-by-step explanation:
Day 1) Monday --> 10 min.
Day 2) Tuesday --> 15 min.
Day 3) Wednesday --> 20 min.
Day 4 )Thursday --> 25 min.
Day 5) Friday --> 30 min.
Day 6) Saturday --> 35 min.
Day 7) Sunday --> 40 min.
Using the formula for the nth term in an arithmetic sequence, we find that Jasmine will practice for 40 minutes on the 7th day.
Explanation:The problem can be solved by using arithmetic progression. The first term of this sequence is the amount of time Jasmine spent practicing on Monday, which is 10 minutes. The common difference is the amount of time she adds to her practice every day, which is 5 minutes. To find out how long she will practice on the 7th day, we can use the formula for the nth term in an arithmetic sequence: a + (n-1)d.
Plugging in our values, we find:
10 + (7-1)*5 = 10 + 30 = 40.
So, Jasmine will practice for 40 minutes on the 7th day.
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Yesterday, Julie’s bank account balance was $39.99. Today, she made a withdrawal from her account. The current balance is –$10.28.
How much did she withdraw from her account?
A). $50.27
B). $29.71
C). $0.00
D). $19.61
Answer:
A). $50.27
Step-by-step explanation:
Add $39.99 and -$10.28 to get $50.27
Final answer:
Julie withdrew $50.27 from her account, which can be calculated by adding her previous balance of $39.99 to the absolute value of her negative current balance, $10.28.
Explanation:
The question asks to determine how much was withdrawn from Julie's bank account, given that her balance went from $39.99 to -$10.28. To do this, we subtract the current balance from the previous balance. So the calculation is $39.99 - (-$10.28).
First, subtracting a negative is the same as adding its absolute value, so the equation can be rewritten as $39.99 + $10.28.
When these two values are added together, we get a total of $50.27. This means that Julie withdrew $50.27 from her account.
Therefore, the correct answer is A). $50.27.
Select the expressions that are equivalent to 2(9r)
2(-3r+12r)
r+11
r+18
18r
HELP ASAP PLEASE!!!
Answer:
18r
Step-by-step explanation:
Multiply 9 by 2
Lombardi pizza sells one 20in cheese pizza or two 12in pizzas for 12.99. Determine which size gives more pizza.
My guess is the two 12 inch pizza which in a total is 24 I’m not really good at math but I think this is the correct answer
Answer:
Two 12 inch pizzas
Step-by-step explanation:
Multiply12x2= 24 inches compared to 1 20inch pizza
PLZ HELP URGENT 30 POINTS!!!!!
Which of the following
functions maps 3 to -5
F(x)=4-x^2
F(x)=x-5
F(x)=-x+2
F(x)=x+8
Answer:
F(x)=4-x^2
Step-by-step explanation:
I am assuming that x=3 and y=-5
Put in x =3
F(3)=4-3^2 = 4-9 =-5 Yes
F(3)=3-5 = -2 No
F(3)=-3+2 = -1 No
F(3)=3+8=11 No
How many solutions are there to the equation below? 4(x-5)=3x+7
A. 1
B. 0
C. Infinitely Many
Answer:
A. 1
Step-by-step explanation:
4(x - 5) = 3x + 7
4x - 20 = 3x + 7
+ 20 = + 20
4x = 3x + 27
-3x -3x
1x = 27
x = 27
The answer is A.1
An equation is formed of two equal expressions. There exists only one solution to the problem which is equal to 27. Thus, the correct option is A.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be found as shown below,
4(x-5)=3x+7
4x - 20 = 3x + 7
4x - 3x = 20 + 7
x = 27
Hence, there exists only one solution to the problem which is equal to 27. Thus, the correct option is A.
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Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over $50. Enzel decides to buy his graphing calculator, with a price tag of $83, at this site because he knows that he will get the 15% discount when he checks out. Enzel pays 4.5% sales tax on the discounted price and pays a shipping fee of $6.35. What is the total of Enzel’s online purchase?
So firstly, we need to find the discounted price. Since this is going to be a decrease by percentage, we will be using this format:
(1 - p)m(p = percentage in decimal form and m = original price)In this case:
[tex]15\% = 0.15\\\\(1-0.15)*83\\0.85*83\\70.55[/tex]
Now that we have the discounted price, we must apply the 4.5% sales tax. Since this is going to be an increase by percentage, we will be using this format:
(1 + p)mIn this case:
[tex]4.5\%=0.045\\\\(1+0.045)*73.55\\1.045*70.55\\73.72[/tex]
Now we have the discounted price with the sales tax. Now all we have to do is add the shipping fee:
[tex]73.72+6.35=80.07[/tex]
AnswerThe total price of Enzel's purchase is $80.07.
Answer:
A) $80.07
Step-by-step explanation:
for all the lazy ones who don't want to actually learn :)
ED2020
Type the correct answer in each box. Spell all words correctly.
A sequence of transformations maps ∆ABC onto ∆A″B″C″. The type of transformation that maps ∆ABC onto ∆A′B′C′ is a
.
When ∆A′B′C′ is reflected across the line x = -2 to form ∆A″B″C″, vertex
of ∆A″B″C″ will have the same coordinates as B′.
Answer:
Reflection
Step-by-step explanation:
When we reflect a point on the x axis, the y coordinate changes its sign.
For example if a Point P has coordinates (x,y), it will be (x, -y) after reflection on the x axis.
A (-6,2) reflected on the x axis becomes A' (-6, -2)
B (-2,6) reflected on the x axis becomes B' (-2, -6)
C (-4,2) reflected on the x axis becomes C' (-4, -2)
So, the type of transformation that maps ∆ABC onto ∆A′B′C′ is a reflection on the x axis.
Answer:
Reflection
Step-by-step explanation:
When we reflect a point on the x axis, the y coordinate changes its sign.
For example if a Point P has coordinates (x,y), it will be (x, -y) after reflection on the x axis.
A (-6,2) reflected on the x axis becomes A' (-6, -2)
B (-2,6) reflected on the x axis becomes B' (-2, -6)
C (-4,2) reflected on the x axis becomes C' (-4, -2)
So, the type of transformation that maps ∆ABC onto ∆A′B′C′ is a reflection on the x axis.
Step-by-step explanation:
There are 96 coins in a bottle. 1\2 of the coins are £1 coins. The rest of the coins are 50p coins. work out the total value of the 96 coins I need help with this
Answer:
£72
Step-by-step explanation:
Firstly, if half of 96 coins are £1 coins then:
96/2 * 1 = value of half the coins = £48
Now, we simply need to multiply 96/2 by 0.5 to find the value of these coins:
48 * 0.5 = 24
Now we can add the two:
48 + 24 = 72
So the value of the 96 coins are £72.
Compute the following 8c8
Answer:
1
Step-by-step explanation:
using the definition of n[tex]C_{r}[/tex]
= [tex]\frac{n!}{r!(n-r)!}[/tex]
where n! = n(n - 1)(n - 2)........ × 3 × 2 × 1
note that 0! = 1
8 [tex]C_{8}[/tex] = [tex]\frac{8!}{8!(0!)}[/tex]= 1 ← cancel 8!
Given g(x)=3x+5, find g(-6)
g(-6) This means that x = -6, so you can plug in -6 for "x" in the equation
g(x) = 3x + 5
g(-6) = 3(-6) + 5
g(-6) = -18 + 5
g(-6) = -13
To find g(-6), substitute -6 into the given function and simplify the expression.
Explanation:To find g(-6), we substitute -6 into the given function, g(x) = 3x+5.
So, g(-6) = 3*(-6) + 5
g(-6) = -18 + 5
g(-6) = -13
Therefore, g(-6) = -13.
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let x = -5
evaluate the function for y
y=4.7x-6
Answer:
y = -29.5
Step-by-step explanation:
y = 4.7x - 6
x = -5
y = 4.7(-5) - 6
y = -23.5 - 6
y = -29.5
prime factorization of 39
Answer:
3 * 13 is the prime factorization
Step-by-step explanation:
We need to break 39 down into primes
39 = 3 * 13
Both 3 and 13 are primes so we are done
Answer:
3*13
Step-by-step explanation:
the factors of 39 are 3 and 13
Here is the new question, plz solve this one for me
Answer:
1805.4
Step-by-step explanation:
Answer:
the answer is 1,710 it is adding 30 each time
Step-by-step explanation:
1 month=1,500
2 months=1,530
3 months=1,560
4 months=1,590
5 months=1,620
6 months=1,650
7 months=1,680
8 months=1,710
Anyone know? Will mark brainliest if correct!
The answer is A. g(x).
Here's why:
f(x) = -x^4 - 2: This function is a downward-facing parabola (due to the negative coefficient of x^4) with a maximum y-value at its vertex. The vertex occurs at x = 0, and the maximum y-value is f(0) = -2.
g(x) = -3x^3 + 2: This function is a cubic function with a local maximum, but it does not have a global maximum. However, its maximum value is still greater than the maximum value of f(x).
Key points:
The maximum y-value of f(x) is limited to -2 because of the negative leading coefficient and the constant term of -2.
g(x) doesn't have a defined maximum y-value, but it can reach values greater than -2, making its maximum value larger than that of f(x).
Therefore, g(x) has the largest maximum y-value among the two functions.
Charlene sold 15 magazines subscriptions for the fundraiser. Mark sold 17 subscriptions and Paul sold 12. How many magazine subscriptions did they sell in all?
Let s represent subscriptions
Equation:______
They sold_____ subscriptions in all.
Charlene, Mark, and Paul sold a combined total of 44 magazine subscriptions for their fundraiser.
Explanation:In this problem, Charlene, Mark, and Paul collectively sold magazine subscriptions. We need to find the total number of subscriptions sold. We can do this using simple addition: Charlene sold 15 subscriptions, Mark sold 17 subscriptions, and Paul sold 12 subscriptions. Therefore, using s to represent total subscriptions, our equation would be: s = 15 (Charlene's sales) + 17 (Mark's sales) + 12 (Paul's sales). Summing the numbers, s = 44. Hence, they sold 44 subscriptions in total.
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ll the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. a How many hours would this job take if the number of workers decreased by factor of 2?
Answer:
44 hours
Step-by-step explanation:
Decreasing the people by a factor of 2 means we have 3 people
The job takes 6* 22 = 132 people hours
When we decrease the people, it will take more hours
132 people hours = 3 people * t hours
Divide each side by 3
132/3 = 3t/3
44 = t
It will take 44 hours
Please Solve #25 Thx
check the picture below.
notice, we can find the area of the pink triangle (garden), since we know its base and height, we can also find the areas of the yellow triangle (lawn), since we also know its base and height.
[tex]\bf \stackrel{\textit{area of the garden}}{\cfrac{1}{2}(40)(70)}\implies 1400~\hfill \stackrel{\textit{area of the lawn}}{\cfrac{1}{2}(100)(70)}\implies 3500 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{\textit{area of the lawn}}{\textit{area of the garden}}\qquad \qquad \cfrac{3500}{1400}\implies \cfrac{5}{2}\implies 2\frac{1}{2}\textit{ times larger}[/tex]
Which of the following would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years?
To earn the same amount of simple interest as $600 with 2.5% interest over six years ($90), another investment combination that would yield the same interest amount is $1,000 at 3% interest for 3 years.
Explanation:The student is asking which investment would earn the same amount of simple interest as a principal of $600 with 2.5% interest over 6 years. The formula for calculating simple interest is Interest = Principal imes Rate imes Time. For the given principal of $600 with 2.5% interest over 6 years, the interest earned would be:
Interest = $600 imes 0.025 imes 6
Interest = $90
To find another investment with the same interest earned, one must find a principal, rate, and time that satisfy the equation:
Interest Earned = New Principal imes New Rate imes New Time = $90
An example would be a principal of $1,000 with 3% interest for 3 years:
Interest Earned = $1,000 imes 0.03 imes 3
Interest Earned = $90
This indicates that both investments would earn the same amount of interest over their respective periods.
A developer has 7 1/2 acres of land to build houses on. If each house is to be built on 1/4 acre plot, how many houses can he build?
Answer:
He could build 30 houses.
Step-by-step explanation:
7 1/2 divided by 1/2 equals 30!
Answer: 30 houses can be built
Step-by-step explanation:
Travis is sewing a pillow for his Home Arts class. The pillow will be made from 2 identical rectangles. Each rectangle is 1 1/2 feet wide and 1 3/4 feet long. How many square feet of material is used in the sewing of the pillow?
Answer:
11/4
Step-by-step explanation:
Given the sequence -1,3,7,11 find a25
It'a an arithmetic sequence.
[tex]a_1=-1\\a_2=-1+4=3\\a_3=3+4=7\\a_4=7+4=11\\\vdots\\\\\text{The general formula of nth term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\\text{We have:}\\\\a_1=-1,\ d=4\\\\\text{Substitute:}\\\\a_n=-1+(n-1)(4)=-1+4n-4=4n-5\\\\\text{We want }\ a_{25}.\ \text{Substitute n = 25 to the formula:}\\\\a_{25}=4(25)-5=100-5=95\\\\Answer:\ \boxed{a_{25}=95}[/tex]
Find the sum or difference.
16/17 + 3/17=?
A.19/17
B.9/34
C.1/2
Please help me
What is the measure of abc ?
Answer:
Option D 63°
Step-by-step explanation:
Two secants AE and CD intersect each other at point B inside the circle.
So by secants theorem,
[tex]\frac{m(AC)+m(DE)}{2}[/tex] = ∠ABC = ∠DBE
= [tex]\frac{1}{2}[/tex] ( 82 + 44 )
= [tex]\frac{1}{2}[/tex] ( 126)
= 63
Option D 63° is the answer.
According to the manufacturer, about 26% of sour candy in a package of Sandy's Sours are grape. What is the probability that the first grape candy chosen from the bag will be, at LEAST, the third candy chosen overall?
To find the probability that the first grape candy chosen from the bag will be, at least, the third candy chosen overall, you multiply the probability that a candy is not grape (0.74) by itself (since we're considering two independent events, both candies not being grape). The answer is 0.5476.
Explanation:The subject of this question is probability which is a branch of mathematics. You're looking to find the probability that the first grape candy drawn from a bag of Sandy's Sours will be, at least, the third candy chosen overall.
Given that 26% of the candies are grape, the probability that the first candy drawn is not grape is 1 - 0.26 = 0.74 (or 74%). Since we're looking for the first grape candy to be the third candy drawn or later, we need the first two candies to be not grape.
The probability that the first candy drawn is not grape is 0.74. Because each candy draw is an independent event (the result of one draw does not affect the results of any other draws), the probability that neither the first nor the second candy drawn is grape is 0.74 * 0.74 = 0.5476 (or 54.76%).
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there are 11 regular players and 5 substitute players on a soccer team how many players are on 15 soccer teams ??
Answer:
225 players (including the substitutes)
Step-by-step explanation:
11 regular player and 4 substitutes makes 15 team members per team.
15 players on each team times 15 teams gives you 225 players in total.
The total number of players on 15 soccer teams can be calculated by multiplying the total number of players (including regular and substitute) on one team (16 players) by the number of teams (15), which equals 240 players.
Explanation:The subject of this question is Mathematics, and it's referencing a concept of multiplication in a real-world context. To determine the total number of players on 15 soccer teams, you consider that each team is composed of 11 regular players and 5 substitutes. So, the total number of players on one team is 16 (11 regular players + 5 substitutes).
To find out the number of players on 15 teams, you multiply the number of players on one team by 15. That is, 16 players * 15 teams = 240 players. So, there are 240 players on 15 soccer teams.
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The sum of the speeds of two trains is 718.7 miles per hour. If the speed of the first train is 3.3 mph faster than that of the second train, find the speeds of each.
Answer:
2x + 3.3 = 718.7 mph
Step-by-step explanation:
Which value is the same as 2 tenths?
2 tenths is equal to 0.2 in decimal format. This is derived from its fraction format, 2/10, and its place value in the base-ten number system, which is a 'tenths' place.
Explanation:In mathematics, the value that is equivalent to 2 tenths is 0.2. This is because when we say 'tenths', we are referring to a fractional or decimal value that has a denominator of ten in the context of fractions or one place after the decimal point.
Therefore, 2 tenths is essentially 2 divided by 10 which equals 0.2 in decimal format. We can further illustrate this using a base-ten number system. In this system, each place to the right of the decimal point represents a 'tenths' place value. Therefore, in the number 0.2, the digit '2' is in the 'tenths' place.
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A recursive rule for an arithmetic sequence is a1=-2; an=an-1 -9
What is an explicit rule for this sequence?
The explicit rule for the given arithmetic sequence is an = -2 + (n - 1) * (-9)
Explanation:An arithmetic sequence is a sequence of numbers in which each term is found by adding a common difference to the previous term. In this case, the recursive rule for the arithmetic sequence is given as a1 = -2 and an = an-1 - 9.
To find the explicit rule for this sequence, we need to find a formula that directly calculates the nth term of the sequence. We can do this by examining the pattern in the sequence:
First term: a1 = -2Second term: a2 = a1 - 9 = -2 - 9 = -11Third term: a3 = a2 - 9 = -11 - 9 = -20Fourth term: a4 = a3 - 9 = -20 - 9 = -29...From the pattern, we can see that each term is obtained by subtracting 9 from the previous term. So, the explicit rule for this arithmetic sequence is given by:
an = a1 + (n - 1) * d
where a1 is the first term, n is the term number, and d is the common difference. Plugging in the values, we have:
an = -2 + (n - 1) * (-9)
Simplifying this equation gives the explicit rule for the sequence.
Final answer:
The explicit rule for the arithmetic sequence is an = -2 + (n-1)(-9).
Explanation:
An explicit rule for an arithmetic sequence is given by the formula:
an = a1 + (n-1)d
Where:
an is the nth term of the sequence
a1 is the first term of the sequence
n is the position of the term in the sequence
d is the common difference between consecutive terms
In this case, the first term (a1) is -2 and the common difference (d) is -9. Therefore, the explicit rule for this sequence is:
an = -2 + (n-1)(-9)
1. Write an expression for "n decreased by 3."
Answer:
n-3
Step-by-step explanation:
Answer: The required expression is [tex]n-3.[/tex]
Step-by-step explanation: We are given to write an expression for the following statement :
"n decreased by 3."
We know that
if we are decreasing a units from some quantity b, then we should subtract a from b.
This is written as follows :
[tex]E=b-a.[/tex]
Therefore, for the given expression, we should subtract 3 from n.
This can be written as :
[tex]E=n-3.[/tex]
Thus, the required expression is [tex]n-3.[/tex]