Fractions
The values are [tex]\frac{1}{4} , \frac{1}{8} , \frac{1}{81}[/tex]
Step-by-step explanation:
As we know the fractions whose numerators are 1 can be represented in exponents and vice versa provided that the power of the exponent is (-1) ,
like 1/a = a^(-1)
[tex]\frac{1}{a}[/tex] = [tex]a^{-1}[/tex]
so accordingly
a)
4^(-1) or [tex]4^{-1}[/tex] can be represented exponentially as ¼ .
⇒ [tex]\frac{1}{4}[/tex]
Part b)
2^(-3) or [tex]2^{-3}[/tex]
We can simplify the exponent so that the power should be equal to -1.
And, so [tex]2^{3}[/tex] = 8
So we can write the above the expression as 8^(-1) or [tex]8^{-1}[/tex]
So the fraction corresponding to it is [tex]\frac{1}{8}[/tex].
⇒ [tex]\frac{1}{8}[/tex]
Part c)
3^(-4) now we can simplify the exponent so that the power of the exponent is -1.
And thus , (3 ^4)^(-1) = 81^(-1) = [tex]\frac{1}{81}[/tex]
So the fraction obtained is [tex]\frac{1}{81}[/tex].
⇒ [tex]\frac{1}{81}[/tex]
The values are [tex]\frac{1}{4} , \frac{1}{8} , \frac{1}{81}[/tex]
What is the difference between the circumference of the outer circle and the circumference of the inner circle? Leave your answer in terms of π.
Diameter is 9m and the outer part of the circle is 2m
Will give brainiest
Final answer:
The difference between the circumferences of the outer and inner circles, given a diameter of 9m for the inner circle and an outer part thickness of 2m, is 4π m.
Explanation:
To find the difference between the circumferences of an outer circle and an inner circle, we first need to determine their respective radii and then apply the circumference formula C = 2πr.
The given diameter of the inner circle is 9m, hence its radius is 9m / 2 = 4.5m. The thickness of the outer part of the circle is 2m, so the radius of the outer circle is 4.5m + 2m = 6.5m.
The circumference of the inner circle is C_inner = 2π(4.5m) = 9π m, and the circumference of the outer circle is C_outer = 2π(6.5m) = 13π m.
The difference between the circumferences is therefore Couter - Cinner = 13π m - 9π m = 4π m.
does anyone know adjacent angles ?
20 PTS QUICK QUICK PLEASE! 1 MINUTE ONLY! WITH EXPLANATION PLEASE! ANSWER 3 QUESTION AND YOU WILL BE THE BRAINLIEST!
1) Which expression will help you find the area of the triangular bases?
3 × 12
8 × 3
1/2 × 8 × 3
8 × 12
2) Which expressions will help you find the areas of the rectangular faces? Select all that apply.
8 × 3
8 × 5
5 × 12
8 × 12
3) Find the surface area of this net.
_____a0 square centimeters
THE NET IS DOWN BELOW FOR ALL QUESTION IT IS THE SAME NET DRAWING GOOD LUCK!
1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.
A = 8 x 3
2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.
A = (8 x 12) + (5 x 12)
3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.
Triangles = 8 x 3 = 24
Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156
Surface area = 24 + 156 = 180 square centimeters
Hope this helps! :)
I WILL MARK BRAINLIEST!!
Approximate the distance between the two points.
(-3,5)
(7,-1)
-32 units
-136 units
-11.7 units
-5.7 units
Answer:
-11.7 units
Step-by-step explanation:
using the distance formula d= sq route of (x2-x1)squared+ (y2-y1)squared
the distance is found to be the square root of 136, which is 11.66 so round to 11.7
By visual inspection, determine the best fitting repression model for the scatterplot
A. Quadratic
B. No pattern
C. Linear
D. Exponential
Answer:
D. Exponential
Step-by-step explanation:
The point are going down at an exponential rate.
Can someone find the area please?
The profit( in thousands ) that a company makes, t years after opening, can be found by: F(t) = 2t^2 - 6t -3
a) How many years after opening did the company’s profit switch from negative to positive? ( round to the nearest tenth)
b) How many years after opening was the company’s profit the lowest?
c) What was the company’s profit( in thousands of dollars) when it was the lowest? ( don’t use dollar signs in your answer)
a) After 4 years the profit will change from negative to positive.
b)after 4 years the profit will be lowest.
Because the equation is a quadratic equation so, it will be increasing.
c) after 4 years the profit will be 5.
Step-by-step explanation:
a) After 1 year = 2(1) -6(1) -3
= 2-9
= -7
It's negative
After 2 years = 2(4) -6(2) -3
= 8-12-3
= -7
It's negative
After 3 years = 2(9) -6(3) -3
= 18 - 18 -3
= -3
It's negative
After 4 years = 2(16) -6(4) -3
= 32 -24-3
= 5
It's positive
After 4 years the profit will change from negative to positive
b) after 4 years the profit will be lowest.
Because the equation is a quadratic equation so, it will be increasing.
c) profit = 2(16) - 6(4) -3
= 32 -24 - 3
= 5
after 4 years the profit will be 5
Calculate the range of javelin throws from the World Cup:
Answer:
13.28
Step-by-step explanation:
range=the difference of biggest number and lowest number
Antonia is using the calculator shown to find the value of
1,035 x 6. What key on the calculator should she press first?
1.) 1
2.) +/-
3.) C
4.) /
Answer:
1.) 1
Step-by-step explanation:
which symbol makes 3 13/28 and 3 17/30 a true sentence
Answer:
Step-by-step explanation:
13/28 = 195/420
17/30 = 238/420
So that means that 3 17/30 > 3 13/28
a rectangle container messuring 20cm by 14.5cm by 10.5cm is filled with filled with water to its brim. if 300cm are drained out of the container, what will be the hight of the water level?
Correction
If 300cm3 are drained out of the container,
Answer:
9.47 cm
Step-by-step explanation:
Volume of the container is given by, V= lwh where l is the length of the container, w is width and h is height.
When filled with water, taking l as 20cm, width as 14.5 cm and height as 10.5cm, the volume of container is
V=20*14.5*10.5=3045 cm3
When 300 cm3 is drained, the remaining volume is 3045-300=2745 cm3
Since the length and width is constant but height varries, the new height will be
20*14.5*H=2745
H=2745/290=9.4655172413793
Rounded off, H=9.47 cm
j+2 = 3k+5 in terms of k
Answer:
(j-3)/3 =k
Step-by-step explanation:
j+2 = 3k+5
Solve for k
Subtract 5 from each side
j+2-5 = 3k+5-5
j-3 = 3k
Divide each side by 3
(j-3)/3 = 3k/3
(j-3)/3 =k
Mrs. Téllez has a roll of wrapping paper in her gift shop. She uses 1/4 yard to wrap each gift. If there are 20 yards of wrapping paper on the roll, how many gift of the same size can she wrap until the roll is empty ?
Final answer:
Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.
Explanation:
To find out how many gifts of the same size Mrs. Téllez can wrap until the roll is empty, we need to divide the total length of wrapping paper by the amount used per gift. Mrs. Téllez uses 1/4 yard to wrap each gift, and there are 20 yards of wrapping paper on the roll. So, we need to divide 20 by 1/4 to get the number of gifts.
To divide a whole number by a fraction, we can multiply the whole number by the reciprocal of the fraction. The reciprocal of 1/4 is 4/1. So, we multiply 20 by 4/1:
20 x 4/1 = 80/1 = 80
Therefore, Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.
20% of the 7th graders are on the football team. If 48 students are on the team, how many total students are in the 7th grade?
Answer:
i think its 13
Step-by-step explanation:
Use the following set of data: 5, 7, 7, 6, 4, 8, 17, 5, 7, 5, 6, and 5. Find the interquartile range of the data. *
The answer is 2 because The interquartile range (IQR) is a number that indicates how spread out scores are and tells us what the range is in the middle of a set of scores.
For extra im going to tell you all the quartile ranges.
First Quartile-5
Third Quartile-7
Median-6
Interquartile-2
Answer:
2
Step-by-step explanation:
I SAID 2 I DID THIS QUIZ
The table and the graph below each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table than its value on the graph when x = 11?
(answers)
110
150
215
275
Answer:
if x = 11 then y = 660
Step-by-step explanation:
when the x increases by 1 at a constant rate, the y increases by 60 at a constant rate
so, if we keep moving forward with the table, you'll easily see that when x = 11, y = 660
The value of y would be 275 more in the table than on the graph when x = 11. Hence the correct option is 4.
The value of y would be 275 more in the table than its value on the graph when x = 11.
By substituting x = 11 into the equation y = 10 + 2x, we get y = 10 + 2(11) = 32 for the graph.
From the table, the corresponding value for y when x = 11 is 307.
Thus, the difference in the value of y between the table and the graph is 307 - 32 = 275.
Brenda has 18 fish in an aquarium. The fish are the following colors: 5 orange, 7 blue, 2 black, and 4 green. Brenda’s trouble-making cat has grabbed a fish.
What is the probability the cat did NOT grab an orange fish?
1/3
3/4
13/18
13/5
Answer:
It should be 13/18
Step-by-step explanation:
Subtract the number of orange fish from the total number of fish. The number you get will them be divided by the total number of fish.
18- total number of fish
5-total number of orange fish.
18 - 5 = 13
13 divided by 18
13/18
Which set of numbers cannot represent the lengths of the sides of a triangle?
A. 9, 12, 19
B. 7, 18, 11
C. 7, 5, 6
D. 6, 8, 11
Answer:
i think it's B, but I'm not sure
start overline, A, C, end overline are diameters of circle
P
PP.
Given:
m∠APB = 19°
To find:
The arc measure of DBC.
Solution:
∠APB and ∠DPC are vertical angles.
By vertical angle theorem:
m∠APB = m∠DPC
m∠DPC = 19°
DB is the diameter of the circle.
Angle measure of diameter = 180°
m∠DPB = 180°
m∠DPC + m∠CPB = m∠DPB
19° + m∠CPB = 180°
Subtract 19° from both sides.
19° + m∠CPB - 19° = 180° - 19°
m∠CPB = 161°
The measure of central angle is equal to the measure of intercepted arc.
m∠CPB = m(ar CPB)
m(ar CPB) = 161°
The arc measure of DBC is 161°.
The local pizzeria offers a choice of 2 pizzas - supreme or vegetarian, 3 sides - chips, salad
or coleslaw, and 4 drinks - juice, coke, ginger beer or water. For dinner I decide to have
1 pizza, 1 side, and 1 drink. How many possible meals do I have to choose from?
Answer:
24
Step-by-step explanation:
To determine the number of possible meal combinations at the pizzeria, multiply the number of options for each course, yielding 2 (pizzas) × 3 (sides) × 4 (drinks), which equals 24 possible meals.
Explanation:To calculate the number of possible meals you can choose from at the pizzeria, you can use the Fundamental Principles of Counting, specifically the Multiplication Principle. The principle states that if one event can occur in m ways and a second independent event can occur in n ways, then the two events can occur in m × n ways together. Since we are dealing with more than two events, we extend this principle.
In this scenario, you have 2 kinds of pizzas, 3 sides, and 4 drinks to choose from. To find the total combinations of meals, you multiply the number of options for each selection. That is:
Pizza options (2) × Side options (3) × Drink options (4) = Total meal options.So, the calculation would be:
2 × 3 × 4 = 24 possible meals.
This calculation shows that there are 24 different combinations of meals that you can choose from when you pick one pizza, one side, and one drink.
Express the height of the following rectangular prism in meters. (Note: 1 m = 100 cm)
7,500 m
750 m
7.5 m
0.75 m
Answer:
0.75m
You take the 75cm because that is the height and then you have to convert it to meters I used Google
What is the slope of 3x - 3y =5
Do anyone know what goes in these blanks
Answer:
Blank 1 is Pythagorean Theorem, 2 is sides, 3 is right, 4 is legs, and 5 is the hypotenuse.
Step-by-step explanation:
PLZ HELP! WILL GIVE BRAINLIEST!
Answer:35X 10^-13
Step-by-step explanation: multiply the coefficient 7x5 add exponents when multiplying
5) A mathematical term that does not include an equal or inequality sign is called an _ _ _ _ _ _ _ _ _ _.
Answer:
this is called a Expression
Step-by-step explanation:
Answer:
expression
Step-by-step explanation:
NEED HELP URGENTLY!!!!!
Given angles:
[tex]$\pi, \frac{\pi}{3} , \frac{3 \pi}{4}, \frac{4 \pi}{2}, \frac{7 \pi}{3}[/tex]
To order the angles from least to greatest:
The value of π = 180°
[tex]$\frac{\pi}{3}=\frac{180^\circ}{3}= 60^\circ[/tex]
[tex]$\frac{3 \pi}{4}=\frac{3 \times 180^\circ}{4}= 135^\circ[/tex]
[tex]$\frac{4 \pi}{2}=\frac{4 \times 180^\circ}{2}= 360^\circ[/tex]
[tex]$\frac{7 \pi}{3}=\frac{7 \times 180^\circ}{3}= 420^\circ[/tex]
Order from least to greatest:
60° < 135° < 180° < 360° < 420°
Now write using π:
[tex]$\frac{\pi}{3}< \frac{3 \pi}{4}< \pi < \frac{4 \pi}{2}< \frac{7 \pi}{3}[/tex]
2
Jeremy got $53.00 from his grandparents for his birthday. He wants to spend exactly
half of the money on a new toy, and put the other half in his savings account
a
How much money will Jeremy put into his savings account? Show your work.
Answer: 26.5
b
How did you handle the remainder in this problem?
O Left it as a whole number.
O Turned it into a fraction.
O Turned it into a decimal number.
C
Explain your choice.
Answer:
the answer is c.
Step-by-step explanation:
that is for the second question
Please answer this asap! Its midnight and I'm tired 40 points
Answer:
1:
A'(6,6) B'(5,2) C'(2,6)
2: They are congruent if they have the same shape and size, if not, then they are not congruent
3: Can't answer
Answer:
They are the same shape as ABC and LMN both measure 4 base and 4 side measurement each along with hypotenuse shared value of 5. Making these triangles isosceles.
We can see that LMN is the only triangle whos base that lies parallel with the y (inverse usual x line), this is proof that the transition was 270° in total and 222.5° flip from the ABC last transition.
Each transition was the following
1) As shown on diagram 90 flip
We found 67.75° with ABC, then 222.5°
Meaning 270° from start to finish.
There was a 22.5 transition in the first grid too, so if counting that we deduct that from 270° to equal 247.5° full rotation from first replacement coordinate drawn in question 1.
Step-by-step explanation:
9. Anderson writes his name in English and Spanish language with
chalk, pencil, and pen. How many ways did he write his name?
Answer:
6.
Step-by-step explanation:
The number of ways = 2 languages * 3 implements
= 6
The linear inequalities that will limit the solution region in a linear programming problem are called the ___. i need the answer asp
Answer: Constraints
i got that question its constraints