Answer:
The difference is 145.7
Step-by-step explanation:
89+56.7= 145.7
Answer:
-32.3
Step-by-step explanation:
I got -32.3 because when I subtracted -89 from 56.7 I got -32.3. If you don't know how to subtract integers it's simple, you just subtract 89 from 56.7 then choose the sign that has the greater absolute value. In this case -89 has the greater absolute value, so you take the negative sign.
if the formula for the perimeter of a rectangle is p=2l+2w, what is the formula for w in terms of p and l
Answer:
(p-2l)/2 = w
Step-by-step explanation:
p=2l+2w
We want to solve for w.
The first step is to subtract 2l from each side
p-2l=2l-2l+2w
p-2l=2w
Then we will divide each side by 2 to isolate w
(p-2l)/2 = 2w/2
(p-2l)/2 = w
If x = 6 units and y = 15 units, then what is the volume of the square pyramid shown above?
Answer:
I need the picture of the pyramid to solve.
Step-by-step explanation:
Identify an equation in point slope form for the line perpendicular to y = -1/3 x - 6 that passes through (-1,5)
Answer:
y + 1 = 3(x - 5) Answer
Step-by-step explanation:
Find the slope of the perpendicular line.
m1 * m2 = - 1
m1 = - 1/3
m2 is the slope of the perpendicular
(-1/3) * m2 = - 1 Multiply both sides by -3
-(3)(-1/3) * m2 = -1 * -3
m2 = 3
The slope of the perpendicular line is 3
Find the equation of the line.
m = (y - y1)/(x -x1)
y - y1 = m(x - x1) is the equation of the line.
y1 =5
x1 = - 1
(y - - 1) = 3(x - 5)
y + 1 = 3(x - 5) Answer
Determine the correct scientific notation form of the number. 518,000,000 A) 5.18 x 106 B) 5.18 x 108 C) 51.8 x 107 D) 518 x 106
Answer:
It's B ) 5.18*108
Step-by-step explanation:
Multiplying these two gives you 518,000,000
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
518, 000, 000
So, it can be written as
[tex]518\times 10^6[/tex]
But we need a scientific notation which means that decimal should be put after first number.
So, scientific notation would be
[tex]5.18\times 10^8[/tex]
Hence, Option 'B' is correct.
What is the additive inverse of the complex number –8 + 3i?
Additive inverse is what you add to a number to get zero.
So, by definition, the additive inverse of (-8 + 3i) would be (8 - 3i).
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3jb+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping.
How many trees do they chop down after Ben spends 88 hours chopping, Cam spends 33 hours chopping, and Justin spends 44 hours chopping?
Answer:
748 trees PLEASE GIVE BRAINLIEST
Step-by-step explanation:
b + 2c + 3jb + 2c + 3j =
88 + 2(33) + 3(44)(88) + 2(33) + 3(44) =
88 + 66 + 396 + 66 + 132 = 748 trees
After Ben spends 88 hours chopping, Cam spends 33 hours chopping, and Justin spends 44 hours chopping, they chop down a total of 286 trees.
To find the total number of trees chopped down, we'll use the given formula: ( b + 2c + 3j ), where ( b ) is the number of hours Ben spends chopping, ( c ) is the number of hours Cam spends chopping, and ( j ) is the number of hours Justin spends chopping.
Given that Ben spends 88 hours chopping ( b = 88 ), Cam spends 33 hours chopping ( c = 33 ), and Justin spends 44 hours chopping ( j = 44), we can substitute these values into the formula.
Plugging in the values:
[tex]\[ \text{Total trees} = 88 + 2(33) + 3(44) \][/tex]
Now, we calculate each term:
[tex]\[ 2(33) = 66 \][/tex]
[tex]\[ 3(44) = 132 \][/tex]
Then, we add up all the terms:
[tex]\[ \text{Total trees} = 88 + 66 + 132 \][/tex]
[tex]\[ \text{Total trees} = 286 \][/tex]
So, after Ben spends 88 hours chopping, Cam spends 33 hours chopping, and Justin spends 44 hours chopping, they chop down a total of 286 trees.
School started at 8:05 a.m. and ended at 2:40 p.m. The work below shows Erica’s calculation of the length of the school day.
Erica made errors by failing to borrow 1 hour when subtracting the hours and misrepresenting the final duration of the school day as 5 hours and 25 minutes instead of the correct 6 hours and 45 minutes.
Erica's calculation:
7hr 65
8 hr 5 min -
2hr 40 min
---------------
5hr 25 minutes
1. **Subtraction of minutes:**
Erica correctly subtracted the minutes: 5 minutes - 40 minutes = 25 minutes.
2. **Subtraction of hours:**
Here's where the error lies. Erica attempted to subtract the hours directly without borrowing. Let's correct this step:
Borrow 1 hour from the 7 hours:
[tex]\[7 \text{ hours} - 1 \text{ hour} = 6 \text{ hours}\][/tex]
Now subtract the remaining hours:
[tex]\[6 \text{ hours} - 2 \text{ hours} = 4 \text{ hours}\][/tex]
So, the corrected calculation is:
6 hr 65
4 hr 25 min -
2hr 40 min
---------------
1hr 45 minutes
```
Therefore, the correct length of the school day is 6 hours and 45 minutes, not 5 hours and 25 minutes.
Complete correct question:
School started at 8:05 a.m. and ended at 2:40 p.m. The work below shows Erica’s calculation of the length of the school day.
7hr 65
8 hr 5 min -
2hr 40 min
---------------
5hr 25 minutes
Which two errors did Erica make?
An author has 18 pages to send to a publisher. The author has only small envelopes and can't fit all the pages into a single envelope. It ends up taking 6 envelopes to hold all the pages. If each envelope has the same number of pages in it, how many pages are there in each envelope? A) 2 pages B) 3 pages C) 4 pages D) 5 pages
Which of the following angles is not coterminal with the other three? Question 15 options: 231° 51° –129° 591°
Answer:
51
Step-by-step explanation
Given angles can break like this :
231 = 180 +51
51= 0+51
-129= -180+51
591= 360+180+51
so angles 231, -129 and 591 corresponds to the same terminal while 51 is not related to the particular quadrant . so 51 is not co-terminal with the other three angles .
Use the double intercept approach to find the graph of –1 = –y + x. A. B. C. D.
Answer:
Intercepts at (-1, 0) and (0, 1).
Step-by-step explanation:
The double intercept form for the equation of a line is
ax + by = 1
-1 = -y + x
y = 0
x = -1 Multiply each side by -1
-x = 1
The x-intercept is at (-1, 0).
=====
x = 0
-1 = -y Multiply each side by -1
y = 1
The y-intercept is at (0, 1).
=====
The graph (see below) is a straight line passing through the points (-1, 0) and (0, 1).
Given the regular decagon (10-sided polygon), which statements are true?
Choose all that apply
A. The polygon has 90° rotational symmetry
B. The polygon has 36° rotational symmetry
C. The polygon has 144° rotational symmetry
D. The polygon has point symmetry
The regular decagon has 36° rotational symmetry and point symmetry because it can map onto itself by rotating 36° and when flipped 180° around its center.
Explanation:The subject of the question is a regular decagon, which is a 10-sided polygon.
To find out which statements are true regarding its symmetry, consider that rotational symmetry of a polygon is determined by the angle of rotation that maps the polygon back onto itself without altering its general outline.
For a regular decagon, the angle of rotation that achieves this is 360 degrees divided by the number of sides, which is 10 in this case.
Therefore, the correct angle of rotational symmetry is 360/10 = 36 degrees.
Thus, the correct answer from the provided options is:
B. The polygon has 36° rotational symmetryD. The polygon has point symmetryWhat is the total amount of sap trees produced that day? Please tell me ASAP(as soon as possible) because this lesson is due for a grade tomorrow and I’m stuck on this question. Please tell me now because I have to go, Thanks!
Answer: 5 gallons
Step-by-step explanation:
There are 3 x's on the graph for 1/4, so 1/4 times 3=3/4
There are 2 x's on the graph for 3/8, so 3/8 times 2=3/4
There are 4 x's on the graph for 5/8, so 5/8 times 4=5/2
There is only 1 x for 1, so it will remain 1.
So if you add these up,
3/4+3/4+5/2+1
6/4+10/4+1
16/4+1
4+1
There is 5 gallons of sap produced that day.
Hope this helped!
Answer:
5 gallons
Step-by-step explanation:
Number of x's on 1/4 = 3
So, amount of sap trees produce that day = 3/4
Number of x's on 3/8 = 2
So, amount of sap trees produce that day = 2 × 3/8 = 3/4
Number of x's on 5/8 = 4
So, amount of sap trees produce that day = 4 ×5/8 = 5/2
Number of x's on 1 = 1
So, amount of sap trees produce that day = 1 × 1 =1
Therefore,
total amount of sap the trees produce = amount of sap trees produce based on number of x's on 1/4 + amount of sap trees produce based on number of x's on 3/8 + amount of sap trees based on number of x's on 5/8 + amount of sap trees based on number of x's on 1 = [tex]\frac{5}{2}+\frac{3}{4}+\frac{3}{4}+1=\frac{10+3+3+4}{4}=\frac{20}{4}=5\,\,gallons[/tex]
what two numbers have 90 as their lcm and 810 as their product
Answer:
9,90
Step-by-step explanation:
Since their lack is 90, we can divide 810 by 90 and get 9. So 9 is their common factor. So 9 and 90.
To find two numbers with 90 as their LCM and 810 as their product, prime factorize 810, and choose two numbers from the prime factors that satisfy the conditions.
Explanation:The question asks to find two numbers that have 90 as their lowest common multiple (LCM) and 810 as their product.
To find these numbers, we need to first prime factorize 810. The prime factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5.
Now, we need to choose two numbers from these prime factors such that their product is 810 and their LCM is 90. Since 90 = 2 x 3 x 3 x 5, we can choose 3 x 3 x 2 = 18 and 5 as the two numbers.
Jasmine borrowed $15,000 for 8 years and she paid $6,600 in interest. What was the interest rate for Jasmine's loan?
A) .055%
B) 6%
C) 3.25%
D) 5.5%
Answer:
D) 5.5%
Step-by-step explanation:
To find the interest rate, use the equation: I = prt
I = Interest = $6,600
p = principal = $15,000
r = rate = unknown
t = time = 8 years
Now plug the numbers into the equation.
6,600 = 15,000 * r * 8
6,600 = 120,000 * r
Now isolate the variable by dividing both sides of the equation by 120,000.
0.055 = r
Now change the rate to a percent by moving the decimal point 2 digits to the right.
5.5% = r OR r = 5.5%
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Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 42 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 1% level of significance.
Answer:
The null and alternative hypotheses are:
[tex]H_{0}: p=0.67[/tex]
[tex]H_{a} : p <0.67[/tex]
Under the null hypothesis, the test statistic is:
[tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
Where:
[tex]\hat{p}= \frac{23}{42} = 0.5476[/tex]
[tex]\therefore z = \frac{ 0.5476 -0.67}{\sqrt{\frac{0.67(1-0.67)}{42} }}[/tex]
[tex]=\frac{-0.1224}{0.072555398}[/tex]
[tex]=-1.69[/tex]
Now, we have to find the left tailed z critical value at 0.01 significance level using the standard normal table. The z critical value at 0.01 significance level is:
[tex]z_{critical} = -2.33[/tex]
Conclusion: Since the test statistic does not fall in the critical region, therefore, we fail to reject the null hypothesis, and conclude that there is not sufficient evidence to say that the population proportion of women athletes who graduate from the university is now less than 67%.
Answer: No
Step-by-step explanation:By considering the given information , the null and the alternative hypotheses will be :-
[tex]H_0: p=0.67\\\\H_a: p<0.67[/tex]
Since the alternative hypotheses is left-tailed , so the test applied here is left-tailed.
Sample size : n= 42
The sample proportion of graduated : [tex]\hat{p}=\dfrac{23}{42}\approx0.55[/tex]
The test statistic for population proportion :-
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
i.e. [tex]z=\dfrac{0.55-0.67}{\sqrt{\dfrac{0.67(1-0.67)}{42}}}\approx-1.65[/tex]
The p-value : [tex]P(z<-1.645)=0.0494715[/tex]
Since the p-value is greater than the significance level, then we do not reject the null hypothesis.
Hence, it does not give enough evidence to indicate that the population proportion of women athletes who graduate from the university is now less than 67%.
______-8=9
Blank -8=9
Answer:17
Step-by-step explanation:8+9 =17
which graph shows rotation?
If a,b,c,d are replaced by four different digits from 1 to 9, inclusive, then what's the largest possible value for a.bc + 0.d ?
Answer:
Step-by-step explanation:
I'm not sure but I would nominate 9 8 7 6 written this way.
9.86
0.7
10.56
Answer:
9.86 plus 0.7 is 10.56
Step
Suppose you had $100 in a savings account and the interest rate was 2% per year. After 5 years, how much do you think you would have in the account if you left the money to grow?
Answer:
$110
Step-by-step explanation:
A = P(1 + r/n)ⁿ⁺
A = 100(1 + .02/1)¹⁽⁵⁾
A = 100(1.10)
A = $110
Using the simple interest formula, you can calculate that after 5 years at an annual interest rate of 2%, an initial deposit of $100 in a savings account would grow to $110.
Explanation:The subject of this question is simple interest, which is important in Mathematics. To calculate how much money would be in your account after 5 years with an interest rate of 2% per annum, you would utilize the simple interest formula:
Interest = Principal x Rate x Time (I = PRT)
The principal (P) is the initial amount of money, which is $100. The rate (R) is the interest rate per period. The time (T) represents the number of periods.
In our case: The principal is $100, the rate is 2% (or 0.02 in decimal form), and the time is 5 years. Substituting these values into the formula gives. Interest = $100 x 0.02 x 5 = $10. After 5 years, you are entitled to $10 interest. This means the total amount in your account will be your initial principal plus the earned interest: $100 + $10 = $110.
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Diet cola was on sale last week, it cost $10 for every 4 pack. How much do 2 packs of diet cola cost
Answer:
Step-by-step explanation: Your answer to this question is 5$. Reason is because for 4 packs is 10$. You are trying to figure out how much it will be for 2 packs. The only thing you have to do is divide 10$ by 2 which should give you 5. Hope this helps!!!!
Please mark brainliest!!!!☺
Which expression is equivalent to 36x^2-25
Answer
The answer is the fourth one or D.
Step-by-step explanation:
Answer:
THE ANSWER IS D
Step-by-step explanation:
I DID TEST GOT 100
Common denominator for 9/15 and 4/9
Answer:
45 and 36
Step-by-step explanation:
The common denominator for the two proper fractions is 45
What are proper fractions?A proper fraction is a fraction which has its numerator value less than the denominator. For example, ⅔, 6/7, 8/9, etc. are proper fractions.
Given here: The proper fractions 9/15 and 4/9
now LCM(9,15) = 45
Thus, 9×3/45=27/45 , 4×5/45=20/45
Hence, The common denominator for the two proper fractions is 45
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For the function y=3x, what is the output when the input is -4?
Answer:
x is the input, y is the output
Step-by-step explanation:
Answer:
I believe the answer is -12.
Step-by-step explanation:
If the input if the x value, then y would be equal to -12.
0.524 as a percentage
Answer:
52.4%
Step-by-step explanation:
Simply multiply the value with 100 to find the percentage
thus 0.524× 100 = 52.4%
To convert the decimal 0.524 to a percentage, you multiply it by 100, which results in 52.4%.
Explanation:To convert 0.524 to a percentage, you multiply the number by 100. This is because when converting a decimal to a percentage, you are essentially calculating how many parts out of 100 it represents. Thus, converting the decimal 0.524 to a percentage involves the calculation:
0.524 × 100 = 52.4%.
So, the decimal 0.524 is equal to 52.4% when expressed as a percentage. This concept is useful in various contexts such as interpreting statistics, understanding the rise in cost of living, or when calculating a rate of growth or decline in a given scenario.
The variables y and x have a proportional relationship, and y = 9 when x = 2.
What is the value of y when x = 3?
Answer: [tex]y=13.5[/tex]
Step-by-step explanation:
1. By definition, if [tex]y=9[/tex] when [tex]x=2[/tex], then:
[tex]\frac{y}{x}=\frac{9}{2}[/tex]
2. Keeping this on mind, to find the value of [tex]y[/tex] when [tex]x=3[/tex], you must apply the following proccedure:
[tex]\frac{y}{3}=\frac{9}{2}[/tex]
3. Now, you must solve for [tex]y[/tex], as following:
[tex]y=3(\frac{9}{2})\\y=\frac{27}{2}\\y=13.5[/tex]
4. Then, the result is:
[tex]y=13.5[/tex]
What is the length of chord cd in 0 below
Answer:
I believe 5 units
Step-by-step explanation: I believe it is five units because the other one Chord AB is also 5 units. Plz mark brainliest if correct
Answer:
5
Step-by-step explanation:
Because it is at same distance as other one from center so they have same lengths
naomis fish is 40 ml long her guinea pig is 25 cm long how much longer is her guinea pig than her fish
Answer:
the guinea pig is 21 cm longer
Step-by-step explanation:
fish = 40 mm
guinea pig 25 cm
convert the fish to cm
1 cm = 10 mm
40 mm * 1 cm/10 mm = 4 cm
guinea pig - fish
25 cm - 4 cm
21 cm
the guinea pig is 21 cm longer
James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They despoit $400. Into the account each month. How much will be in the account after 20 years.
Answer:
$128,088.54
Step-by-step explanation:
Year Year Deposits Year Interest Total Deposits Total Interest Balance
1 $4,800.00 $72.10 $4,800.00 $72.10 $4,872.10
2 $4,800.00 $207.79 $9,600.00 $279.89 $9,879.89
3 $4,800.00 $347.25 $14,400.00 $627.15 $15,027.15
4 $4,800.00 $490.60 $19,200.00 $1,117.74 $20,317.74
5 $4,800.00 $637.94 $24,000.00 $1,755.68 $25,755.68
6 $4,800.00 $789.38 $28,800.00 $2,545.06 $31,345.06
7 $4,800.00 $945.04 $33,600.00 $3,490.11 $37,090.11
8 $4,800.00 $1,105.04 $38,400.00 $4,595.14 $42,995.14
9 $4,800.00 $1,269.49 $43,200.00 $5,864.63 $49,064.63
10 $4,800.00 $1,438.52 $48,000.00 $7,303.15 $55,303.15
11 $4,800.00 $1,612.26 $52,800.00 $8,915.41 $61,715.41
12 $4,800.00 $1,790.83 $57,600.00 $10,706.24 $68,306.24
13 $4,800.00 $1,974.38 $62,400.00 $12,680.62 $75,080.62
14 $4,800.00 $2,163.05 $67,200.00 $14,843.67 $82,043.67
15 $4,800.00 $2,356.96 $72,000.00 $17,200.63 $89,200.63
16 $4,800.00 $2,556.28 $76,800.00 $19,756.91 $96,556.91
17 $4,800.00 $2,761.14 $81,600.00 $22,518.05 $104,118.05
18 $4,800.00 $2,971.72 $86,400.00 $25,489.77 $111,889.77
19 $4,800.00 $3,188.15 $91,200.00 $28,677.92 $119,877.92
20 $4,800.00 $3,410.62 $96,000.00 $32,088.54 $128,088.54
Answer:
The account after 20 years is $73798.8.
Step-by-step explanation:
Given : James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They despoit $400. Into the account each month.
To find : How much will be in the account after 20 years ?
Solution :
Using monthly payment formula,
[tex]M=\frac{\text{Amount}}{\text{Discount factor}}[/tex]
Discount factor is [tex]D=\frac{1-(1+i)^{-n}}{i}[/tex]
Substitute in the formula,
[tex]\text{Amount}=M\times \frac{1-(1+i)^{-n}}{i}[/tex]
Where, M=$400 amount deposited monthly
r= 2.75%=0.0275 is the interest rate
[tex]i=\frac{0.0275}{12} =0.00229[/tex]
t=20 years is the time
[tex]n=12\times 20=240[/tex]
Substitute the value,
[tex]\text{Amount}=400\times \frac{1-(1+0.00229)^{-240}}{0.00229}[/tex]
[tex]\text{Amount}=400\times \frac{1-0.5775}{0.00229}[/tex]
[tex]\text{Amount}=400\times 184.497[/tex]
[tex]\text{Amount}=73798.8[/tex]
Therefore, the account after 20 years is $73798.8.
which of the following expressions are equivalent to 2/x^8-y^8? choose all that applyA.2/(x^4-y^4)*1/(x^4+y^4)B.2/(x^4)^2-(y^4)^2C.2/(x4-y^4)*1/(x^4-y^4)D.1/(x^4-y^4)*1/(x^4+y^4)
Answer: option a and b are correct :)
Step-by-step explanation:
Solve using elimination
2x+5y=34
x+2y=14
2x + 5y = 34
x+2y = 14
Multiply the second equation by two to create like terms for one variable.
2(x+2y = 14)
2x + 4y = 28
2x + 5y = 34
2x + 4y = 28 -- Subtract.
y = 34.28 = 6
Solve for x
x + 2(6) = 14
x + 12 = 14
x = 2
Check:
2 + 2(6) = 14
2 + 12 = 14
14 = 14
Answer:
X = 2
Y = 6