Answer:
[tex]3^{8}[/tex]
Step-by-step explanation:
[tex]3^{8}[/tex]x1 any expression multiplied by 1 remains the same
alternative form - 6561
Please Help!!! "What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at any steps."
Answer:
The Answer is 37.5
Step-by-step explanation:
In the measurement 0.503 l, which digit is the estimated digit? the 0 immediately to the left of the 3 5 the 0 to the left of the decimal point 3
Answer:
3.
Step-by-step explanation:
We are asked to find the estimated digit in the measurement 0.503 L.
We know that in each measurement the estimated digit is always the last digit.
We can see that the first digit in the given measurement is 5, the second digit is 0 and the last digit is 3.
Since the last digit is in our given measurement 3, therefore, the estimated digit is 3.
Which principle helps us to determine the total number of outcomes in a sample space?
A sofa is on sale for 357 which is 32 percent less than the original price how much is the original price
The sofa's original price is calculated by using the formula: original price = sale price/percentage in decimal format. In this case, the percentage is 68%, and hence the original price would be 357 / 0.68 which is equal to $525.
Explanation:This is a percentage problem. If the sale price of $357 represents 68% of the original price (because 100% - 32% is 68%), we can find the original price of the sofa using the formula: original price = sale price/percentage in decimal format.
Therefore, the original price would be 357 / 0.68 = $525
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log(w^2+21)=log(10w)
[tex]\[ w = 7 \][/tex]
Explanation:The given equation is [tex]\(\log(w^2+21)=\log(10w)\)[/tex]. To find the solution, we can set the arguments of the logarithms equal to each other, giving [tex]\(w^2 + 21 = 10w\)[/tex].
Rearranging, we get a quadratic equation [tex]\(w^2 - 10w + 21 = 0\).[/tex] Factoring or using the quadratic formula yields the solutions
However, we need to check for extraneous solutions. Substituting [tex]\(w = 3\)[/tex] back into the original equation results in taking the logarithm of a negative number, which is undefined in the real number system. Therefore, [tex]\(w = 3\)[/tex] is extraneous, and the valid solution is [tex]\(w = 7\).[/tex]
In the detailed explanation, we used the property of logarithms that states [tex]\(\log(a) = \log(b)\)[/tex] implies [tex]\(a = b\)[/tex]. By setting the arguments of the logarithms equal to each other, we obtained a quadratic equation.
Factoring or applying the quadratic formula allowed us to find the solutions. However, we must always check for extraneous solutions by substituting them back into the original equation and ensuring the logarithms are defined for the real number system.
In this case, only [tex]\(w = 7\)[/tex] satisfies the equation without resulting in undefined logarithms.
) compute $x+y$ and $\sqrt{x^2+y^2}$ when $x=5$ and $y=12.$
b.when is \[x+y=\sqrt{x^2+y^2}?\]when is
Solve x2 + 6x + 7 = 0.
Answer:
[tex]x=-3+\sqrt{3}[/tex] , [tex]x=-3-\sqrt{3}[/tex]
Step-by-step explanation:
x2 + 6x + 7 = 0
Solve the equation for x
To solve this we apply quadratic formula
[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
a= 1 , b= 6 , c= 7
Plug in all the values in the formula
[tex]x=\frac{-6+-\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]
[tex]x=\frac{-6+-\sqrt{36-28} }{2(1)}[/tex]
[tex]x=\frac{-6+-\sqrt{8} }{2(1)}[/tex]
[tex]x=\frac{-6+-2\sqrt{2} }{2}[/tex]
Divide each term by 2
[tex]x=-3+- \sqrt{3}[/tex]
so we got two value for x
[tex]x=-3+\sqrt{3}[/tex] , [tex]x=-3-\sqrt{3}[/tex]
An astronaut who weighed 150 pounds on Earth found that his weight on Jupiter was 400 pounds. He captured an alien that weighed 120 pounds on Jupiter. What is the alien's weight on Earth?
Answer:
45 pounds
Step-by-step explanation:
What should you do to both sides of the inequality in order to solve x + (-2) > 3?
Subtract 2.
Add 2.
Add 3.
Subtract 3.
A weather forecaster predicts that the temperature in antarctica will decrease 8 degreesf each hour for the next 6 hours how long will it take to go down 36 degrees
Your parents win the lottery and offer you an incredible deal. They will pay you money each day for 30 days for doing your chores. You can choose to be paid one million dollars on the 30th day, or you can pay be paid one cent the first day, and each day the amount you get paid is doubled from the previous day. Which is deal would you choose and why?
there are 45 cans of mixed nuts if each can has 338 nuts what is the total number of nuts,n, in all of the cans
The total number of nuts in all the cans is found by multiplying the number of cans (45) by the number of nuts in each can (338). Hence, the total number of nuts, n, in all of the cans is 15210.
Explanation:This problem is related to simple multiplication. Here, you have 45 cans of nuts and each can contains 338 nuts. So if you want to find the total number of nuts in all the cans, you need to multiply 45 (total number of cans) by 338 (number of nuts in each can).
The multiplication is as follows:
45 * 338 = 15210
So, the total number of nuts, n, in all of the cans is 15210.
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Fred has a savings account balance of $1728.57. The interest-rate on the account is 3.4% compounded daily. If he opened the account nine years ago, what was the value of his initial deposit?
Fred's initial deposit, considering a 3.4% interest rate compounded daily over nine years, was approximately $1258.16.
To find Fred's initial deposit, we need to use the formula for compound interest:
A = P(1 + r/n)ⁿᵗ, where:
Here, we know:
A = $1728.57r = 0.034 (3.4% interest rate)n = 365 (compounded daily)t = 9 yearsWe need to find P. Rearrange the formula to solve for P:
P = A / (1 + r/n)ⁿᵗ
Substitute the known values:
P = 1728.57 / (1 + 0.034/365)³⁶⁵×⁹
First, calculate the daily interest rate
0.034 / 365 = 0.00009315
Next, calculate the exponent:
(365 × 9) = 3285
Now, compute (1 + daily interest rate) raised to the power of 3285:
(1 + 0.00009315)³²⁸⁵ = 1.37423
Finally, divide the final amount by this value:
P = 1728.57 / 1.37423 = 1258.16.
henry is following the recipe card to make a cake. he had 95 cups of flour. how many cakes can henry make?
flour needed for each cake
2 2/9 cups of batter
1/2 cup for topping
Answer:
the number of cakes that can be produced is only 34.
Step-by-step explanation:
total flour needed = flour need for batter + flour needed for topping
,
total flour needed = 2 2/9 cups + 1/2 cup = 49/18 cups
after, we divide the total amount of flour by the answer obtained above to determine the number of cakes that can be made.
number of cakes is the total amount of flour needed per cake
number of cakes is 95 cups / (49/18) = 34.89 cakes
the number of cakes that can be produced is only 34.
List two advantages of buying and two advantages of renting
Answer:
advantages of buying:
-you own your own property
-the value of your property may increase over time
-you can improve or decorate your house as you wish
advantages of renting:
-your landlord is responsible for repairs
-you need to pay fewer up-front cost
-paying rent on time helps you build a good credit history
-renting is better if you dont plan to stay long
-you can have roomates to share costs
What is m∠AEB?
Enter your answer in the box.
Answer: It's 115 I took the k12 test
Step-by-step explanation:
sin x°= 4/15 round to nearest tenth find x
LeAnn wants to gift wrap a present she got for her little brother. How many square inches of gift wrap will be needed to cover a box that is 4in x 6in x 2in?
Calculate 6¾% tax on $2,305 a.$15.56 b.$145,22 c.$146,14 d.$155,59.
Artaud noticed that if he takes the opposite of his age and addes 40 he gets the number 28 how old is artaud
Answer:
Artaud is 12 years old
Step-by-step explanation:
A box contains 3 items that are labeled a, b, and
c. two items are selected at random (without replacement) from this box. list all the possible outcomes for this experiment.
you could pick:
A & B
A & C
B & C
B & A
C & A
C & B
The total number of possible outcomes is 6 and this can be determined by using the given data.
Given :
A box contains 3 items that are labeled a, b, and c.Two items are selected at random (without replacement) from this box.The following steps can be used in order to determine all the possible outcomes for this experiment:
Step 1 - According to the given data, the total number of items in the box is 3.
Step 2 - The total number of outcomes for this experiment is given by:
Total outcomes = 3!
Step 3 - Simplify the above expression.
Total outcomes = 3 [tex]\times[/tex] 2 [tex]\times[/tex] 1
= 6
Step 4 - Now, the list of all the outcomes for this experiment:
A and B
A and C
B and C
B and A
C and A
C and B
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At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?
Answer:
$0.80
Step-by-step explanation:
What is the best answer???
LaTonya has 16 photos on her phone , and Luis has p photos in his wallet.
Which algebraic expression represents the total number of photos that LaTonya and Luis have ?
Answer:
The expression is 16 + p
Step-by-step explanation:
Algebraic expression is a mathematical phrase that contains numbers and variables with an operation ( addition or subtraction etc. )
Given,
The number of photos Latonya has on her phone = 16,
While p represents the number of photos Luis has in his wallet,
Where p is a variable,
So, the total number of photos = Latonya's photos + Luis's photos
= 16 + p
Hence, the required expression is '16 +p'
Which phrase accurately describes a distribution that's bell shaped but not symmetric
Answer:
The distribution is skewed (either to the left or to the right).
Step-by-step explanation:
Skewness is the measure of how symmetric the distribution of the data is around its mean. It can be skewed either to the left or to the right (meaning that one of the "tails" of the distribution is longer than the other). This means that the mass your data set's observations tends to accumulate more around one extreme of the distribution than around the other.
A strictly symmetric, normal distribution would have a skewness measure of 0.
Which linear inequality is represented by the graph
Option B is correct, y≤1/3x-4 is the linear inequality which is represented by the graph
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The equation of line passing through points (3, -3) and (0, -4)
Slope = -4+3/0-3
=1/3
Now let us find y intercept
-4=1/3(0)+b
b=-4
Equation is y=1/3x-4
y≤1/3x-4 is the required inequality of the graph
Hence, y≤1/3x-4 is the linear inequality which is represented by the graph
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Solve to the equation for y
4x+2y=6
During a soccer game, Erin scored 1 out of 3 goals attempted. Lauren scored 2 out of 8 goals attempted. Write the fraction that represents each and compare. Who was most successful?
A: 1/3<2/8;Erin
B: 1/3>3/8;Erin
C: 1/3<2/8;Lauren
D: 1/3>2/8;Lauren
NEED HELP ASAP PLZ
The measure of the angle's supplement is 40° more than three times that of its complement. find the measure of the angle described
The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 4 miles east and 4 miles north of the City Center. The park is 2 miles west and 4 miles south of the Center. How far is it from the mall to the park to the nearest tenth of a mile?
11.1 miles
5.7 miles
10.0 miles
4.5 miles
Answer:
10.0 is the correct answer
Step-by-step explanation: