Which expression is correctly developed to use the Product Rule of Exponents? (1 point)
A:(5 exponent 2) exponent 9
B:10 exponent 8 • 10 exponent 8
C:32 exponent 7
D:6 exponent 2 • 7 exponent 3
The correct expression that uses the Product Rule of Exponents is:
D: 6 exponent 2 • 7 exponent 3
Which of the following correctly used the Product Rule of Exponents to simplify the expression
100 exponent 8. 100 exponent 7? (1 point)
100 exponent 56
200 exponent 15
10,000 exponent 15
100 exponent 15
The correct answer is 10,000 exponent 15.
Find the numerical equivalent of
10 exponent 2 • 10 exponent 3 (1 point)
100,000
1,100
10
105
The numerical equivalent of 10 exponent 2 multiplied by 10 exponent 3 is 100 multiplied by 1000, which equals 100,000. Therefore, the correct answer is 100,000.
Find the numerical equivalent of
2 exponent 5 • 2- export 2 (1 point)
16
8
2
128
The numerical equivalent of 2 exponent 5 multiplied by 2 exponent -2 can be calculated as follows:
2 exponent 5 = 2 * 2 * 2 * 2 * 2 = 32
2 exponent -2 = 1 / (2 * 2) = 1 / 4 = 0.25
Therefore, the numerical equivalent of 2 exponent 5 • 2 exponent -2 is 32 * 0.25 = 8.
Therefore, the correct answer is 8.
Are you sure
Apologies for the mistake. I made an error in my calculation. The correct calculation is as follows:
2 exponent 5 = 2 * 2 * 2 * 2 * 2 = 32
2 exponent -2 = 1 / (2 * 2) = 1 / 4 = 0.25
Therefore, the numerical equivalent of 2 exponent 5 • 2 exponent -2 is 32 * 0.25 = 8.
Therefore, the correct answer is indeed 8.
Is it possible it’s 128
Apologies for the confusion. Let's reevaluate the expression correctly:
2 exponent 5 = 2 * 2 * 2 * 2 * 2 = 32
2 exponent -2 = 1 / (2 * 2) = 1 / 4 = 0.25
Now, let's calculate the numerical equivalent of 2 exponent 5 • 2 exponent -2:
32 * 0.25 = 8.
Therefore, the correct answer is 8. I apologize for the previous incorrect response suggesting it could be 128.
Find the numerical equivalent of
4 exponent 9 • 4- exponent 7 (1 point)
42
16
4
The numerical equivalent of 4 exponent 9 multiplied by 4 exponent -7 can be calculated as follows:
4 exponent 9 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 262,144
4 exponent -7 = 1 / (4 * 4 * 4 * 4 * 4 * 4 * 4) = 1 / 16384 ≈ 0.00006103515625
Therefore, the numerical equivalent of 4 exponent 9 • 4 exponent -7 is 262,144 * 0.00006103515625 ≈ 16.
Therefore, the correct answer is 16.
Mr. Washington spent the whole summer running a student car wash to raise money for the big garden project. He wants to create a farm-to-table type of program that allows for the school to grow its own fruits and vegetables. Mr. Washington made a pledge to the community last year that, as the new principal, he would do everything in his power to improve the nutritional value of school lunches.
Which answer is explicit evidence from the text about Mr. Washington?
(1 point)
A:Mr. Washington made a pledge to the
community.
B:Mr. Washington wants students to wash cars.
C:Mr. Washington is part of the garden project.
D:Mr. Washington likes fruits and vegetables.
The explicit evidence from the text about Mr. Washington is provided in option A: Mr. Washington made a pledge to the community. This shows that Mr. Washington is committed to improving the nutritional value of school lunches.
Dana complained to the produce manager that none of the avocados were ripe. The manager told her that an avocado will ripen quickly if placed in a paper bag with a banana. He also explained that the ripening process can be slowed down by placing the fruit in a refrigerator's crisper drawer. Dana thanked him for the information, and he gave her a coupon for two free avocados.
Which of the following does the text say explicitly about the produce manager?
(1 point)
A:He gave Dana a coupon.
B:He likes to help customers.
C:He knows a lot about avocados.
D:He thanked Dana.
The explicit evidence from the text about the produce manager is provided in option A: He gave Dana a coupon. This shows that the produce manager gave Dana a coupon for two free avocados.
Which of the following describes an inference?
(1 point)
A:a guess made about what a text is saying
B:evidence from the text that supports a conclusion
C:information directly provided in a text
D:a definition of an important term in a text
Option A: a guess made about what a text is saying is the correct answer. An inference is a conclusion or interpretation that is made based on evidence or clues provided in a text, but it is not directly stated or explicitly provided in the text.
Seaweed is used in most ice creams as a thickening agent. The food additive, carrageenan, is made from edible seaweeds and is often listed on the labels of ice cream and other products. There is some controversy over its use in foods that are labeled as "all-natural" or "healthy." The issue over carrageenan is that some studies have suggested it might cause inflammation in the intestines, while others have indicated that it might even contribute to the production of cancer cells. However, many scientists have found these studies to be flawed and declared the food additive as safe to eat.
What does the text explicitly state about carrageenan?
(1 point)
A:Carrageenan is made from edible seaweed.
B:People like the taste of it in ice cream.
C: People are concerned over its safety.
D: People are concerned over its safety