Answer:
To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).
Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...
2^1
-----
2^1
Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...
2^1-1
...because of the quotient rule. And what does 1-1 equal? 0. So you'd get
2^0
This is known as the "zero-exponent rule!"
Hope this helped.
Step-by-step explanation:
a 2-quart carton of pineapple juice costs $5.28. what is the price per cup
Answer:
$0.66 per cup
Step-by-step explanation:
There are 8 cups in 2 quarts, so 5.28/8 is $0.66 per cup.
Answer:
0.66
Step-by-step explanation:
8 cups are in 2 quarts so you going to count 8 cups untill you get 5.28 and then you see how many cents that it is so its 0.66
Please Help!
Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):
Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65
Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia?
Make Sure You Do Tis Because I Will Report You If You Don't
Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Answer:
8 or Ryan
Step-by-step explanation:
mean = sum of terms / number of terms so,
6+7+8+9+10/5=8
PLEASE HURRY!!!!! Which statement describes the situation shown in the graph?
Answer:
Sales increase with a decrease in the price.
Step-by-step explanation:
Use a table to identify three equivalent ratios of 2/5.
Answer: The simplest form of ratio 6:15=2×3:5×3=2:5
Step-by-step explanation: So, 2:5 is equivalent to 6:15.
So far this year, Adam has played 30 games of chess and has only won 6 of them. What is the minimum number of additional games he must play, given that he is sure to lose at least one-third of them, so that for the year he will have won more games than he lost?
A) 24
B) 57
C) 87
D) It is not possible for Adam to do this.
The correct answer is B) 57, but not sure how?
Answer:
Step-by-step explanation:Yikes. Just so we’re all clear—this is not a real SAT question.
So far, Adam’s record is 6 wins/30 games. If he plays x more games, his record will be:
image
You find the minimum x such that the fraction is greater than ½, which would mean he won more than ½ of his games.
Let’s do some math!
image
So if he plays 54 more games, and wins 2/3 of them, he’ll have the same number of wins as losses. Check on that to make sure: He’ll have played 30 + 54 = 84 games, and won 6 + (2/3)54 = 42 of them. Yep, that works.
Now here is where it gets tricky (and why this question is not SAT-caliber). Remember that he’s losing 1/3 of his games. If his 52nd, 53rd, and 54th additional games were win, win, loss, then he would have had, very briefly, a winning record after his 53rd additional game.
His 55th additional game is another chance at a winning record. If he loses that game, then he’ll win the next two, and have a winning record for sure by the 57th additional game. From there, if he continues winning 2/3 of his games, he’ll have a winning record forever.
PLS HELP BEST OF YOUR ABILITY
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answer: x = 60°
Step-by-step explanation:
We know a circle is equal to 360°, so we can subtract from 360° to find x using vertical angles and other given details.
Vertical (opposite) angles are equal to each other. This is why, for example, we know AGE and FGC are both 30°.
See attached for a breakdown of the angles.
360° - 30° - 30° - 90° - 90° = 2x
120° = 2x
60° = x
Answer:
x = 60°
Step-by-step explanation:
Hello!
The sum of angles on a line is 180°.
Given that Angle G is 90°, the other measure on Line DB would also be 90°. The missing angle next to x can be called y.
x° + y° = 90°Angle YThe Angle y can be calculated by using the Vertical Angles Theorem. The theorem states that if two non-adjacent angles are formed by the intersection of two lines, the measures of the angles are congruent.
This means that the measure of Angle y is 30°, as the 30° angle and y are non-adjacent and are formed by the intersection of lines AC and EF.
Angle XWe can now solve for x by plugging in 30° for y in the equation.
x° + y° = 90°x° + 30° = 90°x° = 60°The value of x is 60°.
Manu borrowed Rupees 8500 at the rate of 5% interest per annum for 150 days. Find the interest and amount he paid
Answer:
See below
Step-by-step explanation:
5% interest = .05 :
8500 x .05 x 150days /365 days/year = R 174 .66 = interest......
then amount to be paid = 8500+ 174.66 = R 8674.66
Which of the following can be directly measured using a ruler?
A. Distance between the earth and the moon
B. Distance between two cities
C. Width of a window frame
D. Height of a mountain
Answer:
C
Step-by-step explanation:
windows arent that big compared to 2 cities, distance between the and moon, or a height of a mountain. so i think C is the only reasonable answer
Pls assistance
What is X?
x =x=x, equals
^\circ
∘
Answer:
x = 60°
Step-by-step explanation:
A straight angle is bascially a line with a point marked in it. That is 180°. Supplementary angles add up to 180°. Like the two right angles on the top part of the image are supplementary, as well as the two angles on the bottom part of the image.
120° + x = 180°
x = 60°
A bank gives each new customer a 4-digit code number which allows the new customer to create their own password. The digits are 1, 3, 5, 7 with no digits repeating. What is the possibility the password does not contain 5, that the number will start with 371?
Answer:
firstly it is a four number combo with no repeating numbers so it has to include 5 but if you mean it like you said it 0
Step-by-step explanation:
sry i read it wrong the first time
Answer:
ZERO probability
Step-by-step explanation:
POSSIBLE combos 4 x 3 x 2 x1 = 24 possible combos
if it starts with 371 then the only choice for the 4th digit is 5
but no combo can have a 5 (per question)
so there are ZERO chances of this happening
which symbol will make the number sentence |-12|?12 true
A =
B with a line going through it
C<
d>
Answer:
A
Step-by-step explanation:
|-12| = 12
distance from 0 to -12 is 12
and 12 = 12
pls help best u can
What is the range of possible sizes for side x?
pls show work and also you will get 100 points 4 this
Answer: Alligators
Step-by-step explanation: This entire paper is just about combining like terms.
I won't go too in depth about it since it's self-explanatory, but I'll explain it just a bit. Like terms are two terms that have the same variable. For example, 19 and 24 are like terms since they are both numbers. 15x and 18x are like terms since they are both the same variables. 2y and 5y are like terms since they are both the same variables. However, 3x and 4y are NOT like terms, they do not have the same variable.
Also, variables that have different exponential powers are also not like terms. For example, 5x^2 and 7x are not like terms as one is squares and one is to the 1st power. Similarly, 3x^3 is not the same variable as 2x^4.
When you have 5x and -2x, you subtract 5x and 2x. Thus, the combination would be 3x. When you have -4x - 2x, you would get -6x, and if you have -4x + 2x, you would get -2x.
What you were supposed to do is simplify the equations by combining like terms, and then crossing off the letters that correspond to what you have left in the expression. The remaining letters should spell out a joke.
Attached below I have provided the correct answer.
Hope this helped.
Answer:
1. 3x+5x+14x = 22x
2. 4x+7+11x = 15x+7
3. 10x+8-3x = 7x+8
4. 6x-5+x-11 = 7x-5-11 = 7x-16
5. -8x +19 + 2 - 2x = -10x+19+2 = -10x+21
6. -x+23+4x-34-x = 2x+23-34 = 2x-11
7. 105+27x-68-19x-27+x = 9x+105-68-27 = 9x+10
8. 7x+16-3x+3-2x-2x = 0x+19 = 19
9. -18 + 6 -4x+ 10 - 11x + 2 = -15x
10. 16+4x-12x-28-6x+17+x-1 = -13x +4
Ariana was looking at rent costs for 555 apartments. Each rent was a different amount between \$1{,}000$1,000dollar sign, 1, comma, 000 and \$1{,}400$1,400dollar sign, 1, comma, 400 per month, except for one apartment whose rent was \$4{,}800$4,800dollar sign, 4, comma, 800 per month. [Show data]
Ariana looked at the mean and median of the rents. Then, she decided to remove the \$4{,}800$4,800dollar sign, 4, comma, 800 rent from the set and recalculate the mean and median.
How will removing this rent affect the mean and median?
The way that this action is going to affect the mean and the mean and the median value would be decreased than what it was supposed to be.
What is the mean?In a frequency distribution, the mean is the number that is used to represent the average of a group of data. To get the mean, you have to add up the numbers in the data set and divide by the total number in the data set.
The formula is fx/n
When the average of $4800 is removed from the data set, the mean is going to decrease by the number and the value of fx would also decrease. Hence we can conclude that it would cause the value to reduce.
The median is the middle value, it would also cause the median in the data set to be smaller than it was.
Read more on mean and median here:
https://brainly.com/question/6281520
#SPJ1
help
Is Figure BBB a scale copy of Figure AAA?
The ratios of corresponding side lengths are not equal.
Therefore, Figure B is not a scale copy of Figure A.
Here, we have to determine if Figure B is a scale copy of Figure A, we need to compare the corresponding sides of the two triangles and check if the ratios of their side lengths are equal.
Figure A has side lengths: 3.6, 2, and 5.
Figure B has side lengths: 8.9, 4, and 11.3.
Let's check if the ratios of corresponding side lengths are equal:
Ratio of corresponding side lengths of A and B:
3.6 / 8.9 ≈ 0.4045
2 / 4 = 0.5
5 / 11.3 ≈ 0.4425
The ratios of corresponding side lengths are not equal.
Therefore, Figure B is not a scale copy of Figure A.
In order for two triangles to be scale copies of each other, all corresponding side lengths must have the same ratio.
Since the ratios of side lengths in Figure A and Figure B are not equal, they are not scale copies of each other.
To learn more on scale factor click:
brainly.com/question/5992872
#SPJ3
PLEASE PLEASE PLEASE HELP ME ASAP!!!
The table completing the proof is:
Statements Reasons
Draw segments UT Construction.
[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex] This is reflexive property.
[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex] Given
[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex] Given
ΔUBT ≅ ΔUET SAS congruency
∠B ≅ ∠E Proof
We have,
From the figure,
Step 1:
Draw segments UT.
Construction.
Step 2:
UT ≅ UT
This is reflexive property.
Step 3:
BT ≅ EU
Given
Step 4:
BU ≅ ET
Given
Step 5:
ΔUBT ≅ ΔUET
This is due to SAS.
Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
Step 6:
∠B ≅ ∠E
Thus,
Statements Reasons
Draw segments UT Construction.
[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex] This is reflexive property.
[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex] Given
[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex] Given
ΔUBT ≅ ΔUET SAS congruency
∠B ≅ ∠E Proof
Learn more about triangle congruency here:
https://brainly.com/question/12413243
#SPJ7
Which table represents a linear function?
o 16 30 one
as it forms a pattern
How many significant digits are there in the number obtained by dividing 10.24 by 16 using significant digits?
A. 1
B. 2
C. 3
D. 4
[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
Given:▪ [tex]\longrightarrow \sf{10.24}[/tex]
▪ [tex]\longrightarrow \sf{16}[/tex]
We start by obtaining it:
[tex]\longrightarrow \sf{\dfrac{10.24}{16} = 0.64}[/tex]
Therefore, we are asked how many significant figures 0.64 has. The answer is 2. In this case, the significant digits are 6 & 4.
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
[tex]\large \bm{B. \: 2}[/tex]
Please help with this qn :)
The sum of the length of a side of two squares is 18cm and the sum of their areas is 212 cm^2. find the length of a side of the smaller square
Answer:
4 is the length
Step-by-step explanation:
14 and 4
14 x 14 + 4 x 4 = 212
14 + 4 = 18
In a group of 200 students, the ratio of students who like Nepali and Social studies is 2:3. If 45 students like both the subjects and 20 students like none of the subjects:
A. Illustrate the given information in a venn diagram.
B. How many students like Nepali?
C. How many students like Social study only?
Please give right answer don't give any thing wrong to get 50 points .
Answer:B. 80 students like Nepali
C. 75 students like Social Studies only
Step-by-step explanation: The total of the ratio = the total number of students
2 + 3 = 5
5 parts = 200 students
1 part = 200 ÷ 5 = 40 students
Therefore,the students who liked Nepali(2 parts) = 2 × 40 = 80
The students who liked Social Studies(3 parts) = 3 × 40 = 120
But since 45 students liked both subjects,then those who liked Social Studies only:
120 - 45 = 75
The answers are a) attached b) 80 and c) 75
What is a Venn diagram?A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.
Given that, In a group of 200 students, the ratio of students who like Nepali and Social studies is 2:3. If 45 students like both the subjects and 20 students like none of the subjects,
The total of the ratio = the total number of students
2 + 3 = 5
5 parts = 200 students
1 part = 200 / 5 = 40 students
b) Therefore, the students who liked Nepali(2 parts) = 2 × 40 = 80
c) The students who liked Social Studies(3 parts) = 3 × 40 = 120
Since, 45 students liked both subjects, then those who liked Social Studies only:
120 - 45 = 75
Hence, The answers are a) attached b) 80 and c) 75
For more references on Venn diagram, click;
https://brainly.com/question/29301560
#SPJ2
HEEEELLLLLLLPPPPPPPP
The hexagon PQRSTU is plotted on a coordinate plane with vertices P(–1, 0), Q(–1, 3), R(1, 4), S(2, 5), T(4, 4), and U(4, 0). What is the hexagon's perimeter?
15.8 units
14.4 units
17.8 units
12.0 units
Michael is baking cookies. His cookie recipe calls for 3/4 cups sugar and makes 24 cookies. If he wants to scale the recipe to make exactly 18 cookies, how many cups of sugar will he need? Express your answer as a mixed number.
[tex]\begin{array}{ccll} \stackrel{cups}{sugar}&cookies\\ \cline{1-2} \frac{3}{4}&24\\[1em] x&18 \end{array}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{x}~~ = ~~\cfrac{24}{18}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{\frac{x}{1}}~~ = ~~\cfrac{4}{3}\implies \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{4}{3} \\\\\\ \cfrac{3}{4x}=\cfrac{4}{3}\implies 9=16x\implies \cfrac{9}{16}=x[/tex]
now, the fraction is not an improper one, thus we can't quite put it in a mixed format, unless you count 0 as its whole, then I guess we can say is [tex]0\frac{9}{16}=x[/tex]
Answer:
9/16
Step-by-step explanation:
24/6=4
18/6=3
(3/4)x(3/4)=9/16
Please Helpppp!!!!! I Have no clue I forgot how to find the slope.
HELP PLS
Figure AAA is a scale image of figure BBB.
Figure AAA maps to figure BBB with a scale factor of \dfrac{2}{3}
3
2
start fraction, 2, divided by, 3, end fraction.
What is the value of xxx?
factor the following expression. 3x^3-12x^2-2x-8
Polynomials are mathematical expressions made up of many terms.
To simplify a polynomial as much as possible, you must group all the like terms and rearrange them from higher to lower power.
3x³ - 12x² - 2x-8The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of any constant term is 0. The derivative of axⁿ it's naxⁿ⁻¹.
3 × 3x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹Multiply 3 x 3.
9x³⁻¹ + 2(-12)x²⁻¹ - 2x¹⁻¹Subtract 1 from 3.
9x² + 2(-12)x²⁻¹ - 2x¹⁻¹Multiply 2 by −12.
9x² - 24x²⁻¹ - 2x¹⁻¹Subtract 1 from 2 and subtract 1 from 1.
9x² - 24x¹ - 2x⁰For any term t, t¹ = t.
9x² - 24x - 2x⁰For any term t except 0, t⁰=1.
9x² - 24x - 2Answer: The solution of the polynomial 3x³ - 12x² - 2x-8 is 9x² - 24x - 2.
See more at:https://brainly.com/question/12968773
NEED HELP
rouund each number to the nearest TEN
# 1
82.14
#2
38.5
#3
41.3
Answer:
80, 40, 40
Step-by-step explanation:
The rule is if the number before the tens place is 5 or more round up and if it is 4 or less round down.
I like to look at it without the rule and what makes sense.
82.14: my choices are 80 or 90. What number is 82.14 closer to on the number line? 80.
38.5 The choices are 30 and 40. This number on a number line would be closer to 40
41.3 The choices are 40 and 50. On a number line this number would be closer to 40.
Which of the following is a line segment as shown in the drawing?
Answers:
- DH is correct because a line is connecting the two points D and H as shown in the image, forming a line segment.
- ED is correct because a line is connecting the two points D and E, forming another line segment, as shown in the drawing.
- EH is incorrect because in the drawing shown, there is no line connecting the two points E and H, so there would be no line segment formed between these two points.
- CD is correct because there is another line connecting the two points C and D, forming another line segment in the drawing.
Therefore, lines DH, ED, and CD are all line segments.
20 POINTS+BRAINLIEST: 8TH GRADE MATH PART 3: Word problem with fractions - please list out the steps and explain how you came to the answer
Answer: H. 12
Step-by-step explanation:
Add all cost of each price of the each fabric once to get $925 (150+275+500). Then, divide 5,550/925 to get 6. Then multiply 1/3 by 6 to get 2. Then multiply 2/3 by 6 to get 4. Then add 2+4+6 to get 12.
PLEASE!!!!! I REALLY NEED THIS ASAP!!!
PLEASE HELP ME!!! I NEED THIS ASAP!!!!!
Answer:
It is proved because line segment AC and line segment BD are parallel.
Step-by-step explanation:
I am also trying my best. Please let me know if it’s wrong or you need more help. Have a great day!
