Answer:
To find : The error in the solution and what additional step needs to be completed?
Solution : The mistake is the step 3 and additional step need to be added after it.
Step 1 - \log x -\log_5 3 = 2\log_5 3logx−log
5
3=2log
5
3
Step 2 - \log x = 3\log_5 3logx=3log
5
3
Step 3 - \log x =\log_5 3^3logx=log
5
3
3
Step 4 - \log x=\log_5 27logx=log
5
27
Applying change base rule of logarithmic, \log_b a=\frac{\log a}{\log b}log
b
a=
logb
loga
Step 5 - \log x=\frac{\log 27}{\log 5}logx=
log5
log27
Step 6 - \log x=\frac{1.431}{0.698}logx=
0.698
1.431
Step 7 - \log x=2.050logx=2.050
Step 8 - x=10^{2.050}x=10
2.050
Step 9 - x=112.20x=112.20
From step 4 to 9 is the required steps.
Which type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3
inches?
A. a scalene triangle
B. an equilateral triangle
C. an isosceles triangle
D. no triangle
Answer:
the answer is C
Step-by-step explanation:
Which type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3
inches?
A. a scalene triangle
B. an equilateral triangle
C. an isosceles triangle
D. no triangle
Convert. 5 mi into yards
Answer:
8800 yards
Step-by-step explanation:
1 mile contains 1760 yards so 1760·8=8800
or..
1760x
(X)=x3-22x2+157x-360
Answer:
Step-by-step explanation:
x1 = x2 = 6
x3 = 10
this is it im pretty sure
Solve the equation 2/3x - 1/5x = x - 1
Answer:
To solve the equation:
2/3x - 1/5x = x - 1
First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:
(10/15)x - (3/15)x = 15/15 x - 1
Simplifying the left side:
(7/15)x = 15/15 x - 1
Multiplying both sides by 15:
7x = 15x - 15
Subtracting 7x from both sides:
-8x = -15
Dividing both sides by -8:
x = 15/8 or 1.875
Therefore, the solution to the equation is x = 1.875.
Zora saved of her paycheck and to that she added $40.40. If the total that went into her savings
was $185, what was the amount of Zora's paycheck?
evaluate the expression 9-3/4 x (3/5÷1/8
Answer:
Step-by-step explanation:
9-3/4 x (3/5÷1/8) =
9 - 0.75 * (0.6 / 0.125) =
9 - 0.75 * 4.8 =
9 - 3.6 =
5.4
Help me outttt please !!!!
The expression is factored to give;
(x + 4) = 0 , (x + 10) = 0. Step 2
How to determine the factorsFrom the information given, we have that the quadratic equation is expressed as;
x² + 14x + 40 =0
Now, find the product of 40 and the coefficient of x squared
The product is 40
Find the pair factors of 40 that adds up to 14, we have;
x² + 10x + 4x + 40 = 0
Group the expression in pairs, we get;
(x² + 10x) + (4x + 10)
factor the common terms, we have;
x(x + 10) + 4(x + 10)
Then, we have;
(x + 4) = 0
(x + 10) = 0
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there are 6 more football players wearing dark helmets than wearing light ones. The ratio of dark helmets to light is 2:1. The number of light helmets is ______
Answer:
6
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Well if there is 6 more football players wearing dark helmets then the ones that are wearing lights ones, and the ratio is 2:1 the answer would be 3 I think.
Find the volume of the object
Answer:
v=(6*9*12)
Step-by-step explanation:
Answer:
\(volume = \frac{1}{3} (length \times breadth \times height )\\ = (12 \times 9 \times 6) \frac{1}{3} \)
G = B. What is the length of CD?
CD = ___
Answer:
10
Step-by-step explanation:
Since G = B (and 284 + 76 = 360), then FE = CD
What was her regular and discounted charge?
Answer:
A
Step-by-step explanation:
At the beginning of 2002, an ice cream shop claimed to have "nearly 1,020 different ice cream flavors." Assuming that you could choose from 1,020 different flavors, that you could have your ice cream in a cone, a cup, or a sundae, and that you could choose from a dozen different toppings, how many different desserts could you have?
Answer:
36720 different desserts
Step-by-step explanation:
(1020x3)x12=36720
If anyone can do this for me step by step i will give you 30 points please help me out
Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
Please help me....................
Answer:
B = 43°
a = 44.7
c = 53.3
Step-by-step explanation:
✔️B = 180° - (90° + 47°) (sum of interior angles of a ∆)
B = 180 - 137
B = 43°
✔️Use trigonometric ratio formula to find a:
reference angle = 47°
Opposite = a
Adjacent = 29
Thus,
tan 47 = a/29
Multiply both sides by 29
29*tan 57 = a
44.7 = a
a = 44.7 (nearest tenth)
✔️Use trigonometric ratio formula to find a:
reference angle = 47°
Opposite = a = 44.7
Hypotenuse = c
Thus,
Sin 47 = 44.7/c
Multiply both sides by c
c*sin 57 = 44.7
Divide both sides by sin 57
c = 44.7/sin 57
c = 53.3 (nearest tenth)
use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
The second angle of a triangle is 75 more than the first angle. The third angle is three times the first. Find the three angles.
Answer:
Angle 1= 63°
Angle 2 = 21°
Angle 3 = 96°
Write the expressions for (s + r)(x) and (s - r)(x) and evaluate (sr)(3) .Suppose that the functions r and s are defined for all real numbers x as follows r(x) = x + 1 s(x) = 3x - 3
ANSWER:
\(\begin{gathered} (s+r)(x)=4x-2 \\ (s-r)(x)=2x-4 \\ (s\cdot r)(3)=24 \end{gathered}\)STEP-BY-STEP EXPLANATION:
We have the following functions:
\(\begin{gathered} r\left(x\right)=x+1 \\ s\left(x\right)=3x-3 \end{gathered}\)We calculate each operation, just like this:
\(\begin{gathered} (s+r)(x)=3x-3+x+1=4x-2 \\ (s-r)(x)=3x-3-x-1=2x-4 \\ (s\cdot r)(3)=(3x-3)(x+1)=(3\cdot3-3)(3+1)=(9-3)(4)=(6)(4)=24 \end{gathered}\)Morgan reads 45 pages in 60 minutes how much can she read in 1 minute
Answer:
Morgan can read \(\frac{3}{4}\) of a page in 1 minute.
Step-by-step explanation:
If you divide 45 ÷ 60 you get 0.75 which is equal to \(\frac{3}{4}\).
Morgan can read 0.75 pages in 1 minute.
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
To find out how many pages Morgan can read in 1 minute, we divide the total number of pages she read by the time it took her to read them. This gives us the average number of pages she read per minute.
In this case, Morgan read 45 pages in 60 minutes. So, we divide 45 pages by 60 minutes:
45 pages ÷ 60 minutes = 0.75 pages per minute
This means that on average, Morgan can read 0.75 pages in 1 minute.
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help now i will mark brainly
Ahmad and Daryl had an equal amount of money at first. Ahmad's father gave him another $180, and Daryl spent $255. Ahmad then had 4 times as much money as Daryl. How much money did each of them have at first?
Answer:
$400
Step-by-step explanation:
Suppose Ahmad and Daryl both started with the same x amount of dollars.
Ahmad gains another 180 from his father, so he now has x+180 dollars.
Daryl spends 255, so he now has x-255 dollars.
After these events, Ahmad has 4 times as much money as Daryl, so
x+180=4(x-255)
Now we can solve for x to get the original amount of money.
x+180=4(x-255)
x+180=4x-1020
1200=3x
x=400
Both Ahmad and Daryl started with $400.
Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+b.
x= 1, 2, 3
y= 11, 22, 33
Answer:
y= 11x
Step-by-step explanation:
find the slope: 22-11/2-1= 11/1 or 11
To find the y-intercept you can use the slope by subtracting 11 (inverse operation) from the y value of (1,11). So the y- intercept is (0,0). To write the equation plug in 11 for m and 0 for b. Since 0 has no value the equation would be y= 11x
If 4 kg of pork cost $1200, which would give the cost of 9kg of pork?
4 kg of pork = $1200
Then, 1 kg of pork = $1200/4 = $300
Now, cost of 9 kg of pork = $300 × 9
=》Cost of 9 kg of pork = $2700
_____
RainbowSalt2222 ☔
Which of the following is an identity?
A. csc²x + cot²x = 1
B. (cscx + cotx)2 = 1
C. sin²x-cos²x = 1
D. sin²x sec²x + 1 = tan²x csc²x
Answer:
Step-by-step explanation:
it is D as
L.H.S.=sin²x sec²x+1
\(\frac{sin^2x}{cos^2x} +1\\=\frac{sin^2x+cos^2x}{cos^2x} \\=\frac{1}{cos^2x} \\=sec^2x\)
again
\(R.H.S.=tan^2x csc^2x\\=\frac{sin^2x}{cos^2x} \times \frac{1}{sin^2x} \\=\frac{1}{cos^2x} \\=sec^2x\)
L.H.S.=R.H.S.
What is the value of x if 5x=12x-20
Answer:
x = 20/7Step-by-step explanation:
5x = 12x - 20
5x - 12x = -20
-7x = -20
x = 20/7
\(x = \frac{20}{7} \\ \\ x = 2 \frac{6}{7} \).
Step-by-step explanation:
\(5x = 12x - 20\)
Collect like terms and simplify
\(5x - 12x = - 20 \\ - 7x = - 20\)
Divide both sides of the equation by -7
\( \frac{ - 7x}{ - 7} = \frac{ - 20}{ - 7} \)
Simplify
\(x = \frac{20}{7} \\ \\ x = 2 \frac{6}{7} \)
If the simple interest on $6,000 for 10 years is $4,800, then what is the interest rate?
Answer:
The interest rate is 8% p.a.
Step-by-step explanation:
Simple interest changes by the same amount each year (per annum)
So in this case, it is $480 per year ($4800/10 years)
480/6000 = is 8%
The interest rate is 8% p.a.
Answer:
hey I hope it helps you
R=8%
Step-by-step explanation:
P=$6,000, T=10yrs and I=$4,800 and R=?
I=PRT/100
4800=6000xRx10/100
cross multiply
60000R=480000
divide both sides by 60000
R=8%
What is Set-builder and give example
It is just a way of describing a set.
You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.
Here are a few examples:
{x| x > 0} This is read: The set of all x such that x is greater than 0.
Reading it character by character:
{ — shows you that we are talking about a set, and it sort of opens up, or starts the set
x — tells you that we are talking about a set of elements x
| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.
x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.
So this example is just how you would use set builder notation to talk about the set “the positive real numbers”
So why use it? Because it can describe more complicated sets much more succinctly.
2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}
3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.
12. Reason A data set is represented by the box plot shown. Between which two values would the middle 50% of the data be found? Explain.
The middle 50% data of the boxplot will be calculated between the value of 7 to 14.
Explain about the box plot?The variation in information is shown using a boxplot, which is a standardized method based on a five-number summary ("minimum," first quartile ("Q1"), median ("Q3"), and "maximum"). It can reveal information about your outliers' values. Boxplots can also show you exactly securely your data is grouped, whether or not your data is skewed, and whether or not your data is symmetrical.The data set ranges are:
4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
Divide the given data in 4 quartiles Qs;
Q1 = 4 - 6
Q2 = 7 - 10
Q3 = 11 - 14
Q4 = 15 - 17
Thus, 50% data will be lying in Q2 and Q3.
Range - 7 - 14
Thus, the middle 50% data of the box plot will be calculated between the value of 7 to 14.
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Consider the following functions below.
f (x) = 2x² + 3x - 5
g(x) = 5x2 + 4x – 1
Which of the following represents g
g(x) – f(x)?
o - 3x² – x-4
o – 3x² + 7x - 6
3x²+x+4
3x² + 7x - 6
HELP ASSAAAPPPP!!!!!!
Answer:
(-4, 0); x = -4, y = 0
Step-by-step explanation:
The solution is the point that satisfies both equations. It is the point of intersection of the two lines.
Answer: (-4, 0)
please help me with this question!!
“Steven's mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kilograms. What is the amount of sugar in kilograms that Steven needs to buy?”. i DO NOT know the answer. it would be so awesome if someone could help.
Answer:
0.75
Step-by-step explanation:
there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.