Answer:
The expression is a mathematical representation of an algebraic problem. The final form of the expression would be 75y -5 after combining like terms.
Here's the breakdown of the steps:
125y - 5 - 50y = (125-50)y -5 = 75y - 5
So the final simplified form of the expression is 75y -5.
solve
(3r-1)(2r+2r+3)
1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
2.) Becky invest $2500 at an annual interest rate of 9%. How much is the investment worth after 10 years if the interest is compounded continuously.
3.) suppose $2000 is invested at 5.75% annual interest compounded continuously for 21 months. How much will the investment be worth at the end of 21 months.
Will mark as Brainlessly or whatever it’s called (if you take my points I will report) thank you so much:)
Answer:
$5809.17
$6149.01
$2211.72
Step-by-step explanation:
Continous interest formula:
(pv)e^(rt)
we have
5000e^(5*.03)= 5809.17
Same equation from before
2500e^(.09*10)= 6149.01
2000e^(.0575*(21/12))
(we write 21/12 because that's how many years has passed)
= 2211.72
Lattice Arena sold a total of 150 tickets to a basketball game. 90 of the tickets were sold to fans of the home team. What percent of the tickets were sold to fans of the home team?
60 percentage of the tickets were sold to fans of the home team.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
To find the percentage of tickets sold to fans of the home team,
we need to divide the number of tickets sold to home team fans by the total number of tickets sold, and then multiply by 100 to convert the fraction to a percentage:
Percentage of tickets sold to home team fans = (Number of tickets sold to home team fans / Total number of tickets sold) x 100%
Number of tickets sold to home team fans = 90
Total number of tickets sold = 150
Percentage of tickets sold to home team fans = (90 / 150) x 100%
Percentage of tickets sold to home team fans = 0.6 x 100%
Percentage of tickets sold to home team fans = 60%
Therefore, 60% of the tickets were sold to fans of the home team.
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ples ill give you the brianliest
Answer:
72
Step-by-step explanation:
step 1: 10(4+14/7)+12
step 2: 10(4+2)+12
step 3: 10(6)+12
step 4: 60+12=72
Solve. 3 + 4(w + 5) = 31
Answer:
8/4We have,
3+4(w+5)
=31 Or, 3+20+4w
=31 or, 4w
=31−23
w=8/4
Thus, w comes out to be 2 .
Step-by-step explanation:
Hope it is helpful....
Answer:
w=2
Step-by-step explanation:
3 + 4(w + 5) = 31
distribute 4(w + 5)
4 x w = 4w
4 x 5 = 20
rewrite your equation
3 + 4w + 20 = 31
add like terms
3 + 20 = 23
rewrite equation
4w + 23 = 31
subract 23 on both sides
4w + 23 = 31
-23 -23
4w = 8
divide by 4 on both sides to get w by itself
4w = 8
4 4
w = 2
4/4 times 1/2 PLEASE HURRY ILL MARK BRAINLIEST
Answer: 1/2
Step-by-step explanation:4
4
×
1
2
=
1
2
Result in decimals: 0.5
Calculation steps:
4
4
×
1
2
=
4 × 1
4 × 2
=
4
8
=
4 ÷ 4
8 ÷ 4
=
1
2
Further explanation
For the problem:
4
4
×
1
2
= ?
Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
4 × 1
4 × 2
=
4
8
The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.
4
8
=
4 ÷ 4
8 ÷ 4
=
1
2
The result is:
4
4
×
1
2
=
1
2
Answer:
1/2
Step-by-step explanation:
any expression divided by itself is 1
1×1/2
any expression multiplied by 1 remains the same
1/2
800 liralık bir telefonun fiya-
tina %6 zam yapılıyor.
Yeni satış fiyatı kaç lira
olur?
Answer:
8ile 6 yı çarp sonucu 800 ile topla 48+800= 848
Lamont spends $120 on groceries. This is 25% of the money he earns this week. How much does Lamont earn? Show your work
Lamont's total earnings this week come to be $480.
Lamont spends $120 on groceries and this is 25% of the money he earns this week.
This means, $120 = 25% of the total earnings of Lamont
Suppose total earnings =x
What is the percentage?The percentage is the value per hundred.
25% of x= [tex]\frac{25*x}{100}=\frac{x}{4}[/tex]
Given [tex]\frac{x}{4} =120[/tex]
So, [tex]x=480[/tex]
So, his total earnings is $480.
Thus, Lamont's total earnings come to be $480.
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arkadaşlar 81×56 kaç
Answer:
big
Step-by-step explanation:
pp
Answer:
4536
Step-by-step explanation:
Hesap makinesi kulan
increase 2 hour 30 minute by the ratio of 6:5
Answer:
we get 180 minutes; this is equivalent to 3 hours
Step-by-step explanation:
Solving this problem is easier if we convert 2 hr 30 min to min: 150 min.
In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.
We write and solve an equation of ratios:
6 x
--- = ------ This becomes 5x = 900 through cross multiplication.
5 150
solving this for x, we get 180 minutes; this is equivalent to 3 hours.
The time taken should be 180 minutes or 3 hours.
Calculation of the time taken:
Since there is an increase of 2 hours 30 minutes by the ratio of 6:5
So here we convert 2 hr 30 min so it comes 150 min.
Now the time taken should be
5x = 900
x = 150 minutes
hence, The time taken should be 180 minutes or 3 hours.
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Which pair of points have equal x-coordinates?
no
B
5
37-8.5
8
+ 1 2 3 4 5 6 7 8 x
2
994019
5
6
S
O points Q and R
O points Q and T
points Rands
Opoints S and T
Answer:
option B
Step-by-step explanation:
I did it.
What is the first correct step in solving the inequality-4(3-5x)>-6x+9?
Answer:
follow PEMDAS (parentheses exponents multiplication division add subtract)
Fifteen students were registered in Section 1 and 15 students were registered in Section 2 of a research course. They took the same midterm exam, and their exam scores were distributed as follows: Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94 Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98 a. Calculate the mode, median, mean, range, variance, and standard deviation for both sections. Include your SPSS output below. (10 pts) b. Which section did better overall on the exam? Fully justify your answer using the concepts in W&G Chapter 3. (3 pts)
Answer:
a)
For Section 1 -
Mode : 45 , 98
Median - 78
Mean - 73.8
Range - 65
Variance - 537.03
Standard Deviation - 23.17
For Section 2 -
Mode : 67 , 77 , 87 , 88 , 98
Median - 77
Mean - 76.4
Range - 55
Variance - 333.11
Standard Deviation - 18.25
b)
Section 2 did better overall on the exam
Step-by-step explanation:
As given,
Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94
Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98
a)
For Section 1 -
Mode : 45 , 98
Median - 78
Mean - 73.8
Range - 65
Variance - 537.03
Standard Deviation - 23.17
For Section 2 -
Mode : 67 , 77 , 87 , 88 , 98
Median - 77
Mean - 76.4
Range - 55
Variance - 333.11
Standard Deviation - 18.25
b)
As,
Standard deviation of section 2 < Standard deviation of section 1
⇒ Students of Section 2 are more consistent.
Also,
mean of Section 2 > mean of Section 1,
⇒average score of Section 2 student > Average score of Section 1 student.
∴ we get
Section 2 did better overall on the exam.
Which variable is most important to the following problem? After two hours, Kaylee measured the temperature of a mixture to be 62.7°F. She noticed it was 3:47 p.m. At 4:58 p.m., the temperature reached its peak at 89.4°F. How much did the temperature of the mixture increase between 3:47 and 4:58?
The temperature early in the morning is 15 °C. The temperature increases by 2 °C for every hour for the
next 5 hours. Write a function for the temperature in degrees Celsius.
f(h)=
A) square root 6
B) 6
C) 6 square root 2
D) 12
E) 12 square root 2
Please help
sin(45degrees) or BC/AB is 1/sqrt2(that's the value of sin45 degrees I recommend you to memorize this.)
x/12=1/sqrt2
x*sqrt2=12
x=12/sqrt2
Now rationalize this fraction to make the answer more formal.
x=12sqrt2/2(I multiplied both top and bottom by sqrt2)
Now simplify
x=6sqrt2
Question done! answer is C 6 square root of 2
Hope this helped any questions just put them in the comments.
Answer:
6 square root 2
Step-by-step explanation:
if f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)
Step-by-step explanation:
g*f(x)=g(x+4)=(x+4)³
g*f(-3)=(-3+4)³
= 1³=1
The ratio of boys to girls In student council is 4 to 5. Students council has 18 members. How many are boys?
Answer:
Step-by-step explanation:
boy count is 1476
Explanation:
There is an important difference between the way counts are viewed in ratio to that in fractions.
The ratio of boys : girls
→
4
:
5
so you have 4 boys and 5 girls making the whole count
4
+
5
=
9
in its simplest form.
So to change the ratio proportion into fraction proportion we have:
boys
→
4
9
of the whole.
girls
→
5
9
of the whole.
It is given that the whole is 3321 therefore the count of boys is:
4
9
×
3321
=
1476
ANSWER QUICKLY PLEASE
Part A
For the following figure, the value of x is
Part B
Using the same figure, determine the value of y.
Choose the suitable option,
A) 16in
B) 64in
C) 8 square root of 2
D) 4 square root of 2
Option C is correct, the value of y is 8 square root of 2.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We need to find the value of y.
The given triangle is right angle triangle with opposite side of 8 inches.
Hypotenuse is y and adjacent side is x.
Now let us solve for sinB
sin45 =8/y
1/√2=8/y
Apply cross multiplication
y=8√2
8 square root of 2
Hence, option C is correct, the value of y is 8 square root of 2.
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A line passes through the point (8,-5) and has a slope of 3/2
Answer:
y=3/2x-17
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=3/2(x-8)
y+5=3/2(x-8)
y=3/2x-24/2-5
y=3/2x-12-5
y=3/2x-17
Help pls!!!!!!!!!!!!!!!!!
Answer:
the answer is 8/5
Step-by-step explanation:
LCM = 10
(14+2)/10 = 16/10
= 8/5
please give me brainlist if it is helpful for you
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. It is believed that the machine is underfilling the bags. A 13 bag sample had a mean of 415 grams with a standard deviation of 30. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
P value = 0.407
Hence, as P-value (0.407) is greater than 0.1
Fail to reject Null hypothesis
Step-by-step explanation:
Given the data in the question;
sample size n = 13
sample mean x" = 415
standard deviation s = 30
level of significance = 0.1
so;
Null hypothesis H₀ : μ = 417
Alternative hypothesis Hₐ : μ < 417
degree of freedom DF = n - 1 = 13 -1 = 12
Rejection Region { level of significance = 0.1, df = 12 }
critical value of t is - 1.356 as { left tailed test }
Test Statistics;
t = (x" - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]
we substitute
t = (415 - 417) / [tex]\frac{30}{\sqrt{13} }[/tex]
t = -2 / [tex]\frac{30}{\sqrt{13} }[/tex]
t = -0.24
so, from table;
P value = 0.407
Hence, as P-value (0.407) is greater than 0.1
Fail to reject Null hypothesis
which correctly shows 5.05 and 5.5
Answer:
how are we gonna answer the question if there is no picture of it
Step-by-step explanation:
Three farmers, share some
bags of fartilizers in the ratio
3:4:5. If the smallest
Share is 18 bags, find the
largest Share
sin (3x) dx = ?
find the integral
Answer:
[tex]\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C[/tex]
General Formulas and Concepts:
Calculus
Antiderivatives - Integrals
Integration Constant C
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Trig Integration: [tex]\displaystyle \int{sin(x)} \, dx = -cos(x) + C[/tex]
U-Substitution
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {sin(3x)} \, dx[/tex]
Step 2: Identify Substitution Variables
u = 3x
du = 3dx
Step 3: Integrate
[Integral] Rewrite: [tex]\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \frac{1}{3}\int {sin(u)} \, du[/tex][Integral] Trig Integration: [tex]\displaystyle \frac{1}{3}[-cos(u)] + C[/tex][Expression] Multiply: [tex]\displaystyle \frac{-cos(u)}{3} + C[/tex][Expression] Back-Substitute: [tex]\displaystyle \frac{-cos(3x)}{3} + C[/tex]Pleaseeee helpp its due in 6 mins
Answer:
5 8 as decimal is: 0.625
Step-by-step explanation:
What is 5/8 as a decimal?
To write 5/8 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 5 by 8 what we write down as 5/8 and we get 0.625
And finally we have:
5/8 as a decimal equals 0.625
Consider the line 2x-3y=-3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
What is the first step in solving 5x-2=3
Answer:
5x-2=3
5x=3+2
5x=5
x=5÷5
x=1
2 + − 1 ( − ) + 7 ( 2 − )
Answer:
Step-by-step explanation:
15
someone please help
What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102
Answer:
A. 3
Step-by-step explanation:
The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.
Our points are (-1,-1) and (1,5):
(5-(-1))/(1-(-1))
6/2
3
The slope of the line shown below is 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
Points from the graph (1, 5) and (-1,-1).
So, the slope of line
= (-1 - 5)/ (-1 - 1)
= -6 / (-2)
= 3
Thus, the slope of line is 3.
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