Jude incorrectly squared the common base (1/2) when she should have added the exponents. The correct simplification of (1/2) ² × 1/2 × (1/2) ³ is (1/2) ⁵, which equals 1/32.
Jude made a common mistake while simplifying the expression (1/2) ² × 1/2 × (1/2) ³.
Instead of combining the exponents correctly, Jude incorrectly assumed that raising the power of a power would simply entail squaring (1/8), thus ending up with (1/8) ⁶ which equates to 1/262,144.
However, the correct method to simplify the expression involves adding the exponents when multiplying the same base number.
The correct simplification would be (1/2) ⁵ because we have (1/2) ² (twice), then multiplied by 1/2 (once), and then by (1/2) ³ (thrice), so the sum of the exponents is 2+1+3=6.
Therefore, (1/2)⁵ equals 1/32.
Following the rules for powers and exponents ensures that we arrive at the correct mathematical solution.
Edward jogs 34 of a mile around a park. Edward jogged around the trail 2 times in 1 hour. What is Edward's speed in miles per hour?
The figure below shows parallel lines cut by a transversal: A pair of parallel lines is shown, cut by a transversal. Angle 3 is located in the upper right exterior corner on the top line, and angle 4 is located in the lower left exterior corner of the bottom line. Which statement is true about ∠3 and ∠4?
Answer:
∠3 and ∠4 are congruent because they are a pair of alternate exterior angles.
Step-by-step explanation:
Answer: Choice number 1
Step-by-step explanation:
The first choice because they are on opposite sides of the transversal Therefore they are alternate exterior angles.
Choose the correct simplification of the expression (7ab3)2.
Answer:
[tex]49a^2b^6[/tex]
Step-by-step explanation:
The given expression is:
[tex](7ab^3)^2[/tex]
Now, squaring the above expression, we get
=[tex](7)^2(a)^2(b^3)^2[/tex]
=[tex]49(a^2b^6)[/tex]
=[tex]49a^2b^6[/tex]
which is the required simplification of the given expression.
Thus, the correct simplification of the expression [tex](7ab^3)^2[/tex] is [tex]49a^2b^6[/tex].
Mrs. Kuss is playing a crazy game of Monopoly with her son Ethan. In order to land on Boardwalk she will need double sixes. What is the probability as a percent that she will roll two sixes?
Solve for e. 9e-7=7e-11
The value of e is -2.
To solve the equation 9e - 7 = 7e - 11, follow these steps:
Move all terms involving e to one side of the equation:
9e - 7e = -11 + 7
Combine like terms:
2e = -4
Divide both sides by 2 to solve for e:
e = -2
Thus, the value of e is -2.
what is the answer to y−(−10)=−41
Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?
Steven has a rectangular closet the length is 10 feet and the width is 48 inches determine the area of the closet in square feet.
how does understanding place value help you to subtract across zeros
peter has 18 oranges, 27 pears, and 12 bananas. He wants t o make fruit baskets with the same number of each fruit in each basket.
a. What is the greatest number of fruit baskets he can make?
b. How many oranges will be in each basket?
c. How many bananas will be in each basket?
d. How many pears will be in each basket?
Answer:
a. Maximum 3 baskets
b. Number of oranges = 6
c. Number of bananas = 4
d. Number of pears = 9
Step-by-step explanation:
Peter has 18 oranges, 27 pears and 12 bananas.
He wants to prepare the fruit baskets with the same number of each fruit in each basket.
a). Greatest number of fruit baskets can be prepared by calculating highest common factor.
Factors of 18 = 2×3×3
Factors of 27 = 3×3×3
Factors of 12 = 2×2×3
Now highest common factor of 18, 12 and 27 = 3
Therefore, maximum 3 baskets can be prepared.
b. Number of oranges in each basket = [tex]\frac{18}{3}=6[/tex]
c. Number of bananas in each basket = [tex]\frac{12}{3}=4[/tex]
d. Pears in each basket = [tex]\frac{27}{3}=9[/tex]
is 5.871 greater than or equal to 5.781
a=p（1+rt） solve r answer
In the simple interest formula a=p(1+rt), r can be solved by rearranging the formula to r = [a/p - 1] / t.
Explanation:The question involves the formula a=p(1+rt) which you would normally see in simple interest calculations in mathematics. Your task is to solve for r (the rate).
To do that, you could rearrange the formula: r = [a/p - 1] / t
So, to calculate r, you would subtract one from the quotient of a and p, then divide that result by t (the time).
Learn more about Solve for variable here:https://brainly.com/question/32610670
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One advantage of credit-card buying is the monthly list of expenditures you receive. True or False
Answer: False .
Step-by-step explanation:
False, it is not an advantage of credit-card buying to get the monthly list of expenditures.
As if we use credit card for every purchase, our liability would get increase, and to burden to pay off with interest will be increased as well.
So, it will be disadvantage instead of advantage to use credit card for every buying.
If one side of a square is 8 inches, what is the perimeter of the square?
Write 6 27/100 as a decimal
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠n + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 3; it should be m∠m + m∠n + m∠o = m∠o + m∠p
Step 2; it should be m∠o − m∠p = 90 degrees (complementary angles)
PLEASE HELP!!!
Answer:
its step 3
Step-by-step explanation:
i just took the test.
The Outdoors Club members are planning some activities to do on a sunny autumn Saturday. One half of the members are going hiking. One fourth of the members are bike riding. One eighth of the members are rock climbing. Nine of the members are walking their dogs. How many Outdoor Club members are doing an activity on Saturday?
Answer:
72
Step-by-step explanation:
Lets say total number of Outdoor club member = [tex]x[/tex]
Members going for hiking = [tex]\frac{x}{2}[/tex]
Members going for bike riding = [tex]\frac{x}{4}[/tex]
Members going for rock climbing = [tex]\frac{x}{8}[/tex]
Member going for walking their dogs = 9
Thus,
[tex]x=\frac{x}{2}+\frac{x}{4}+\frac{x}{8}+9[/tex]
[tex]x-\frac{x}{2}-\frac{x}{4}-\frac{x}{8} = 9[/tex]
[tex]\frac{8x-4x-2x-x}{8}=9[/tex]
[tex]\frac{x}{8}=9[/tex]
[tex]x=72[/tex]
72 Outdoor Club members are doing an activity on Saturday.
Which describes the slope of this line?
A.
negative slope
B.
zero slope
C.
positive slope
D.
undefined slope
write an equation in function form 3x-y=7
Ted Thomason found a good deal when he purchased a bedding set. He paid the store's clerk two $20 bills and a $5 bill. The clerk gave him $2.65 in change. If the sales tax is 7.2%, what was the selling price of the bedding set before taxes?
The directions on a seed packet day to plant the seeds 1 7/8 inches apart. What is the decimal equivalent of this mixed number.
Answer:
1.875 inches
Step-by-step explanation:
We are given that the direction on a seed packet day to plant the seeds apart=[tex]1\frac{7}{8}[/tex] inches
We have to find the decimal equivalent to given fraction.
In order to find the value of given fraction in decimal we will convert mixed fraction into simple fraction.
[tex]1\frac{7}{8}\; inches=\frac{15}{8}[/tex] inches
Now, divide 15 by 8
Then, we get [tex]\frac{15}{8}=1.875[/tex]
Therefore, the value of given fraction =1.875 inches
The average weight of an almond is 1,200 milligrams. You buy 65 almonds at the price of $0.10 per gram. How much do you pay for the almonds?
Final answer:
To find the total cost for 65 almonds at $0.10 per gram, multiply the weight of one almond (1.2 grams) by the number of almonds (65), then multiply the total weight by the price per gram. The total cost is $7.80.
Explanation:
To calculate the total cost of 65 almonds when the average weight of an almond is 1,200 milligrams and the price is $0.10 per gram, we will first need to determine the total weight of the almonds in grams and then multiply by the price per gram.
Convert the average weight of one almond to grams: 1,200 milligrams = 1.2 grams (since 1,000 milligrams = 1 gram).
Multiply the weight of one almond by the number of almonds: 1.2 grams/almond × 65 almonds = 78 grams.
Calculate the total cost by multiplying the total weight by the price per gram: 78 grams × $0.10/gram = $7.80.
Therefore, you would pay $7.80 for 65 almonds.
Use scientific notation to find the product of 4.59 · 10 -5 and 30. Include all of your calculations in your final answer.
A student drops some metal paper clips in a box of sand. The student use a magnet to separate the metal paper clips from the sand. The reason this works is that the sand and paper clips together are
A) a mixture
B) an element
C) a compound
D) a substance
Answer:
The answer is mixture.
Step-by-step explanation:
A mixture is a material that consists of two or more different physically combined substances; in this scenario the things are paper clips and sand.
Here, the student uses a magnet to separate the metal paper clips from the sand. So, here sand and paper clips together are a mixture.
Which inequality models this problem?
Miranda started a car-washing business. She spent $75 to purchase supplies to get started and she uses about $0.50 worth of supplies per car washed. Miranda charges $9 for each car washed. Let c represent the number of cars.
What is the minimum number of cars Miranda will need to wash to make a profit?
9c>75+0.5c
0.5c>75+9c
9c<75+0.5c
0.5c≥75+9c
Answer:
9c>75+0.5c Is your answer
Step-by-step explanation:
I took the test :3
Good luck
what is the opposite of zero on a number line
Marisol plans to make 9 mini-sandwiches for every 2 people attending her party. Write a ratio that is equivalent to marisol's ratio.
A barrel holds 50L how many gallons is this
Danielle is saving to buy a flat screen television that cost $510. She wants to know how long it will take to save the money and writes the expression 510 ÷ [(35×11)]. Will Daniels expression help her find how long it will take to save the money she needs? Explain your answer.
Danielle's expression doesn't provide the correct time frame for saving unless $385 is her savings rate. She needs to divide the cost of the television by her regular savings amount to find the needed time to save.
Explanation:Danielle is trying to figure out how long it will take to save enough money to buy a flat screen television that costs $510. However, her expression 510 ÷ (35×11) will not accurately give her the information she needs unless $385 (which is 35×11) represents her monthly savings or some other specific saving interval. To determine how long it will take to save the money, Danielle would need to know her savings rate per week, month, or another interval of time and then divide the total cost of the television by that rate.
For example, if Danielle can save $50 each month, the correct expression would be $510 ÷ $50/month. This would yield 10.2 months, assuming she can save that amount consistently every month without any additional costs or interest. Budgeting and cutting unnecessary expenses can also help Danielle accelerate her savings plan. If she finds ways to increase her savings rate by reducing discretionary spending, she would be able to purchase her desire faster.
Sue has $4, Tom has $11, Brian has $6, and Anita has $9. Use mental math to find how much money they have altogether. Show your work.