Answers
Related Questions
A television is on sale for 30% off. The sale price is $322. What is the original price of the television?
PLEASE HELP QUICK
Answers
Answer:
$460
Step-by-step explanation:
Let
x = original price of the television
Sale price = $322
Discount = 30%
x - 30% of x = 322
x - 0.3 * x = 322
x - 0.3x = 322
0.7x =322
x = 322/0.7
x = $460
x = original price of the television = $460
When rolling a die, what is the probability of rolling a 1 or a 4 write your answer in a fraction?
Answers
Answer:
\(1/3\)
Step-by-step explanation:
There are 6 values on a die, and we want 2 values. The fraction now is \(2/6\). But, wait! We can simplify this fraction: \(1/3\).
Side note:
I understand if you wanted just the \(2/6\) fraction and not simplified.
the burning time of a very large candle is normally distributed, with a mean of 2500 hours and a standard deviation of 20 hours. find the z-score that corresponds to a lifespan of 2470 hours.
a. 2.5
b. 1.5
c. -1.5
d -2.5
Answers
Answer:
Value of z-score is -1.5
Option C is correct.
Step-by-step explanation:
We are given
Mean = 2500 hrs
Standard Deviation = 20 hours
X = 2470
We need to find z-score
The formula used to calculate z-score is: \(z-score=\frac{x-\mu}{\sigma} \\\)
Putting values of x, mean and standard deviation in the formula
\(z-score=\frac{x-\mu}{\sigma} \\z-score=\frac{2470-2500}{20} \\z-score=-1.5\)
So, value of z-score is -1.5
Option C is correct.
Select the correct answer.
Which exponential equation is equivalent to this logarithmic equation?
log^5 x - log^5 25 = 7
Answers
Answer:
\(\textsf{D.} \quad 5^9=x\)
Step-by-step explanation:
Given logarithmic equation:
\(\log_5x-\log_525=7\)
\(\textsf{Apply the quotient log law}: \quad log_ax - \log_ay=\log_a \left(\dfrac{x}{y}\right)\)
\(\implies \log_5\left(\dfrac{x}{25}\right)=7\)
\(\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b\)
\(\implies 5^7=\dfrac{x}{25}\)
Multiply both sides by 25:
\(\implies 25 \cdot 5^7=x\)
Rewrite 5 as 5²:
\(\implies 5^2 \cdot 5^7=x\)
\(\textsf{Apply exponent rule}: \quad a^b \cdot a^c=a^{b+c}\)
\(\implies 5^{2+7}=x\)
\(\implies 5^9=x\)
A scale drawing of a rectangular park is 8 inches wide
and 11 inches long.
The actual park is 330 yards long. What is its area?
Use paper to help you with your thinking.
79200 square yards
240 square yards
88 square yards
2640 square yards
Answers
The area of park in terms of scale drawing is 79200 square yards with scale drawing of a rectangular park is 8 inches wide and 11 inches long.
What is area of rectangle?Area of rectangle=Length * width.
Given:
scale length of rectangular park = 11 inch =
scale width of rectangular park = 8 inch
scale length / actual length of park = scale width/ actual width of park
11/330= 8/ actual width of park
1/30 = 8/ actual width of park
actual width of park = 240
So,
Area = length* width
=330*240
= 79200 square yards
Hence, the area of the actual parking is 79200 square yards.
learn more about area of rectangle here:
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Answers
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
What is the prime factorization of 144? A) 2.72 B) 24 • 32 I C) 12.12 D) 22 • 62
Answers
Answer: So maybe D or B.
Step-by-step explanation:2to the 4-power x 3 to the 2nd power.
Solve each equation for all values of x.
3 cot2x-5=-4
Answers
1is answer
Step-by-step explanation:
1ttttttyyuiio
40 - [(8 x 7) - (5 x 6)] need the work also
Answers
\(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)
______________________________
\(\bold{Solution~Steps:}\)
\(1.)~Multiply~the~parenthesis:\)
\(\bold{8}\) × \(\bold{7=56}\)\(\bold{5}\) × \(\bold{6=30}\)\(2.)~Subtract~the~parenthesis:\)
\(\bold{[56-30]=26}\)\(\bold{When~there~are~2~sets~of~parentheis~you~have~to~solve~according~to~order.}\)\(3.)~Subtract~on~the~side~without~an~equal:\)
\(\bold{40-26=14}\)\(\bold{14=14}\)______________________________
\(\bold{Answer:}\)
\(\bold{The~exact~form~of~this~expression~is~\boxed{14=14}}\)______________________________
\(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}\)
Please tell me how to find the limit of: lim (x -> 0) (sin(x)) / x
Answers
Step-by-step explanation:
The limit of (sin(x)) / x as x approaches 0 is a well-known limit in calculus, known as the limit definition of the derivative of the sine function.
lim (x -> 0) (sin(x)) / x = 1
This limit can be proven using L'Hopital's rule or by considering the Taylor series expansion of the sine function about x = 0:
sin(x) = x - (x^3) / 6 + (x^5) / 120 + ...
As x approaches 0, the higher order terms in the Taylor series become arbitrarily small, and the expression (sin(x)) / x approaches 1. This shows that the limit of (sin(x)) / x as x approaches 0 is equal to 1.
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Hi, am I supposed to find the stationary points of the f(x) and g(x) then use the distance formula to solve for the final answer?
Answers
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
__
Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
Which value is an input of the function?
-14
-2
0
4
Answers
Answer:
4
Only answer on the x-axis
Answer:
It's 4.
Step-by-step explanation:
Did the test on edge2021
what is the greatest common factor (GCF) of the numerator and denominator of the rational expression below? 4x+20/x^2+2x-15
Answers
Answer:
The greatest common factor between the numerator and denominator is 4x, thus the answer is
C. x
Step-by-step explanation:
To find the greatest common factor (GCF) of the numerator and denominator, we need to factor them and find the common factors.
The numerator:
4x+20 = 4x +4x+16 = 4x(1+5) = 4x(6) = 24x
The denominator:
x²+2x-15 = (x-3)(x+5)
The volume of a rectangular prism is 5058
50
5
8
cubic inches.
The dimensions are given below.
What is the missing value in the table?
Answers
The missing value in the table include the following: B. 4 1/2 in.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
50 5/8 = 5 × W × 2 1/4
Width, W = 4 1/2 inches.
Read more on volume of prism here: brainly.com/question/21012007
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Complete Question:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
Length Width Height
5 in. 214 in.
A. 79in.
B. 412in.
C. 134in.
D. 1018in.
Three uniform shirts sell for $34.50. How much will 5 uniform shirts cost?
Answers
Answer:
57.5
Step-by-step explanation:
Recognize our numbers
3,5,34.50
Three uniform shirts sell for 34.50
34.50/3
=11.5
How much will five cost?
5x11.5
=57.5
Hope this helps!
Answer:
55.25
Step-by-step explanation:
1. First we need to work out the price of ONE shirt. To do that we divide the total price of 3 shirts by 3.
34.50 / 3 = 11.05
2. Now we know that the price of one shirt is $11.05p we can multiply that by 5 to get the price of 5 shirts.
11.05 * 5 = 55.25
= $55.25p
Find unit rate $602 for 20 hours of work
Answers
Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answers
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answers
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
another question from me ahheheheheheh help pls
Answers
Answer: \(\displaystyle \frac{1}{9(1-3x)^{3}}+C\)
Where C is a constant.
========================================================
Explanation:
Apply u-substitution
\(u = 1 - 3x\\\\\frac{du}{dx} = -3\\\\du = -3dx\\\\dx = -\frac{du}{3}\\\\\)
So,
\(\displaystyle \int \frac{dx}{(1-3x)^4} = \int \frac{dx}{(1-3x)^4}\\\\\\\displaystyle \int \frac{dx}{(1-3x)^4} = \int (1-3x)^{-4} \ dx\\\\\\\displaystyle \int \frac{dx}{(1-3x)^4} = \int (u)^{-4} \ \left(-\frac{du}{3}\right)\\\\\\\displaystyle \int \frac{dx}{(1-3x)^4} = -\frac{1}{3}\int (u)^{-4} \ du\\\\\\\)
which further leads to
\(\displaystyle \int \frac{dx}{(1-3x)^4} = -\frac{1}{3}\left[\frac{1}{1+(-4)}u^{-4+1}+C\right]\\\\\\\displaystyle \int \frac{dx}{(1-3x)^4} = -\frac{1}{3}\left[-\frac{1}{3}u^{-3}+C\right]\\\\\\\displaystyle \int \frac{dx}{(1-3x)^4} = -\frac{1}{3}\left[-\frac{1}{3}(1-3x)^{-3}+C\right]\\\\\\\displaystyle \int \frac{dx}{(1-3x)^4} = \frac{1}{9(1-3x)^{3}}+C\\\\\\\)
Don't forget about the +C at the end.
You make a scale drawing of a tree using the scale 5 inches. = 27 feet. If the tree is 67.5 feet tall, how tall is the scale drawing?
Answers
Answer:
12.5 inches
Step-by-step explanation:
We use proportion to calculate the scale drawing
27 feet = 5 inches, so
67.5 feet = more inches (we know that it would be bigger than 5 inches)
We then put the bigger number on top and crossmultiply by saying:
67.5 over 27 × 5
Your answer should come out as 12.5 inches.
Introduction to the probability of an event 1 A spinner with 8 equally sized slices has 4 red slices, 3 blue slices, and I yellow slice. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a slice that is not red? Write your answer as a fraction in simplest form. Explanation Check کے 0 00 x . Ś 1/5 ?
Answers
The spinner has 8 equally sized slices from which:
4 are red
3 are blue
1 is yellow
Note there are 3 + 1 = 4 slices that are not red.
The probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
There are 4 favorable outcomes out of 8 total outcomes, thus:
\(p=\frac{4}{8}=\frac{1}{2}\)Answer: 1/2
Which set of three angles could represent the interior angles of a triangle?
O 19°, 70°, 91°
O 47°, 12°, 31°
O 50°, 20°, 20°
O 25°, 25°, 100°
Answers
Answer:
19 degrees, 70 degrees, and 91 degrees.
Step-by-step explanation:
The interior angles of a triangle sum to 180 degrees. 19 plus 91 is equal to 110, add 70 to 110 and you'll get 180. :)
What is the rule of square numbers?
Answers
Ex: 3x3=9
And to divide a number to find the square number
/9=3 because 3x3=9
Find the area of the figure
Answers
1) Find the total cost (in dollars) of buying:
a) 5 toys at $300 each
b) a toys at $300 each
c) a toys at $ c each
Answers
Answer:
b
Step-by-step explanation:
because it one toy for that many dollars and i hope this will help you
Susan counted a total of 36 red and green cars in the parking lot. There were 8 times as many red cars as green cars. How many red cars did Susan count?
Answers
Answer:
32 red cars.
Step-by-step explanation:
Let the red cars be denoted by R
Let the green cars be denoted by G
Translating the word expression into an algebraic equation;
\( R + G = 36\) ...........equation 1
\( R = 8G\) ...........equation 2
Substituting equation 2 into equation 1;
\( 8G + G = 36\)
\( 9G = 36\)
\( G = \frac{36}{9}\)
G = 4
The number of green cars are 4.
From, \( R = 8G\)
\( R = 8*4\)
R = 32
Therefore, the number of red cars that Susan counted are 32.
A triangle has two sides with lengths 7 m and 12 m. Which of the following lengths could represent the length of the third side? *
1 point
4 m
19 m
17 m
2 m
Answers
Answer:
i think its 17
please rate and leave a like :-)
An iPhone costs £850 in London, €800 in Paris and $1,000 in New York.
Using £1 = €1.18 and £1 = $1.43, state the lowest price of the iPhone in £.
Answers
Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.
What is lowest value of iphone ?It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.
Sterling to Euro : \($750 \times 1.14=6855$\)
Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)
One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.
The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.
To learn more about iPhone refer to :
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Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)
Answers
Answer:
Circ=37.704, Area= 112.112
Step-by-step explanation:
Circumference= pi *Diameter
Taking pi=3.142, Diameter=12
Circ=3.142*12=37.704
Area= pi * r^2
Area= 3.142*6*6=112.112