Answer:
4³ × 4 ^-3
Use the rules of indices
You will get
4^3-3
= 4^0
= 1
Hope this helps
Answer:
The answer is 1, the second option.
Step-by-step explanation:
Took the test, hope this helps!
To make a batch of four dozen cookies, Denis needs 1 3/4 cups of four, 1 cup of sugar, and 1/3 cup of milk. Calculate the amount of each ingredient that Denis needs to make 12 dozen cookies
Answer:
Flour
12/4 * 1 3/4 = 9/4 cups = 2 1/4 cups
Sugar
12/4 * 1 = 3 cups
Milk
12/4 * 1/3 = 1 cup
We want to see how much of each ingredient we need to make 12 dozen cookies. The ingredients needed are:
(5 + 1/4) cups of flower3 cups of sugar. 1 cup of milk.So we know that for 4 dozen cookies we need:
(1 + 3/4) cups of flour.1 cup of sugar.1/3 cup of milk.So to make 12 dozen cookies, we need to use 3 times the above quantities, so we just need to multiply these numbers by 3.
Then to make 12 dozen cookies, we need:
3*(1 + 3/4) = (3 + 9/4) = (5 + 1/4) cups of flower3*1 = 3 cups of sugar.3*(1/3) = 3/3 = 1 cup of milk.If you want to learn more about multiplications, you can read:
https://brainly.com/question/2475734
Rewrite the expression in the form a^n
a^2/5 (a^-3)
Answer:
[tex]a^{-13/5}[/tex]
Step-by-step explanation:
[tex]a^{2/5} (a^{-3})[/tex]
[tex]=a^{2/5 + (-3)}[/tex]
[tex]=a^{2/5-3}[/tex]
[tex]=a^{2/5-15/5}[/tex]
[tex]=a^{-13/5}[/tex]
Answer:
[tex] {a}^{ \frac{ - 13}{5} } [/tex]
please see the attached picture for full solution
hope it helps...
Good luck on your assignment...
25 POINTS!!!!! add. express your answer as a fraction. Do not include spaces in your answer 5 1/4+ 15.5
Answer:
The answer is 83/4
Step-by-step explanation:
5 1/4+15.5
21/4+15.5
Taking LCM
21/4+15.5*4/1*4
21/4+62/4
83/4
Answer:
[tex]20\frac{3}{4}[/tex]
Step-by-step explanation:
=> [tex]5\frac{1}{4} + 15\frac{1}{2}[/tex]
=> [tex]\frac{21}{4}+ \frac{31}{2}[/tex]
=> [tex]\frac{21+62}{4}[/tex]
=> [tex]\frac{83}{4}[/tex]
=> [tex]20\frac{3}{4}[/tex]
help me for brainliest answer
Answer:
[tex]6n - 5[/tex]
Step-by-step explanation:
[tex]7 - 1 = 6[/tex]
[tex]6n - 5[/tex]
to check whether your answer is correct.
[tex]n = 1 \\ 6 \times 1 - 5 \\ 6 - 5 \\ = 1[/tex]
[tex]n = 2 \\ 6 \times 2 - 5 \\ 12 - 5 \\ = 7[/tex]
yes, it's correct
hope this helps you
How many two-digit primes have both their digits non-prime? 6 5 4 3 2
Answer:
6 and 4
Step-by-step explanation:
Which graph represents the function r(x) = |x – 2| – 1
Answer:
picture?
Step-by-step explanation:
Answer:
Which graph represents the function r(x) = |x – 2| – 1
- The first graph
Step-by-step explanation:
What is the value of S, for ΣΒ(2) -
=1
Ο 43
84
90
ΘΕ
Answer:
Option (3)
Step-by-step explanation:
Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.
[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]
First term of this series 'a' = 6
Common ratio 'r' = 2
We have to find the sum of 4 terms of this infinite series (n = 4).
Sum of n terms of a geometric series is,
[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]
[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]
[tex]=\frac{6(16-1)}{(1)}[/tex]
[tex]=90[/tex]
Therefore, sum of 4 terms of the given series will be 90.
Option (3) will be the answer.
PLUS 100 POINTSSSS!!!!!!! If u do this i will cry !!! tysm! please help me out !!! i need it in 5 to 10 min so please!!! Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties. Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (50 points) Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (50 points)
Answer:
see below
Step-by-step explanation:
vanilla = 4 dollars per packet
chocolate = 1 dollar per packet
v = number of vanilla packets
c = number of chocolate packets
v+c = 27 for a total of 27 packets
4v+1c = 45 for 45 dollars spent
Subtract the first equation from the second equation ( eliminate c to find v)
Since both equations have a coefficient of 1 for c, we can easily subtract to eliminate the c variable
4v + c =45
-v -c = -27
-------------------------
3v = 18
Divide by 3
3v/3 = 18/3
v = 6
6 packets of vanilla
Now find c
v+c = 27
6+c = 27
c = 27-6
c = 21
21 packets of chocolate
20 boys are trying out for 10 spots on the basketball team. if you wanted to determine how many different groups of 10 boys can be created, would you use a permutation or combination?
Answer:
Combination would be the best choice here because they are in groups of 10 different.
PLEASE HELP ASAP!!
If f(x) = 2x+3 and g(x) = x^2+x/2 - 7 then find (f+g)(x)
Answer:
x2+5x/2 -4
Step-by-step explanation:
f(x) = 2x+3 and g(x) = x^(2)+(x)/(2) - 7 , what is (f+g)(x)
x^2+5x/2-4
Do negative numbers have positive square roots?
Answer: yes
Step-by-step explanation:
Answer: not exactly
Step-by-step explanation:
If you put a negative number in a square root you would end up with an error on the calculator. Thats because you end up with an imaginary number since a negative inside a square root can never be calculated, its simply not possible because in order for a negative number to form, a positive number must always be multiplied to a negative number. So people came up with the concept of i:
[tex]\sqrt{-1}[/tex] = i
So something like [tex]\sqrt{-4}[/tex] can be simplified like:
[tex]\sqrt{4}[/tex] * [tex]\sqrt{-1}[/tex]
2 * i
2i
But if you're talking about squares like exponent wise, then yes
something like [tex](-2)^{2}[/tex] will always be positive, but you have to be careful with the parentheses.
There is a difference btw [tex](-2)^{2}[/tex] and[tex]-2^{2}[/tex]
[tex](-2)^{2}[/tex] = 4 because you are multiplying (-2)(-2)
but
[tex]-2^{2}[/tex] = -4 because you are multiplying -(2)(2)
What is the Greatest Common Factor of x6 and x4? (1 point) x x4 x6 x10
Answer: The greatest common factor of two numbers can be determined by laying the factors first of the two numbers each and then identifying which is the largest number ..soo it should be B. x4
Step-by-step explanation:
Answer:
Option B: x^4
Step-by-step explanation:
How many times can 13 go into 22
Answer:
1 time.
Step-by-step explanation:
1 time.
13 x 1 =13.
13 x 2 = 26.
22<26.
Therefore, 1 time.
Answer:
yes the answer above me is correct
Step-by-step explanation:
only one time
because it has no multipule with 22
Work out the area of the shape after it has been enlarged by scale factor 2.
State the units of your answer
Answer:
The area of the now-enlarged shape quadruples. The units are the same; square units.
Step-by-step explanation:
The diagram of the structure isn't provided. But, we can work on a generalized principle for enlargement or reduction.
When a shape is enlarged by a scale factor of 2, it means all of its lengths are increased according to that scale facfor (doubled).
Whatever the shape of the figure was, by enlarging it by a scale factor of 2, all of its dimensions become doubled, and as area is a product of dimensions, two dimensions to be precise, the Area of the object increases by a scale of 4.
For example, if the shape was a rectangle.
A = L × B
When enlarged, new L = 2L, new B = 2B
new Area = new L × new B = 2L × 2B = 4LB = 4 × old area.
A circle
A = πr²
When enlarged, new R = 2r
new Area = π(new R)² = π(2r)² = 4πr² = 4 × old area.
Whatever the original shape was, when it is enlarged by a scale factor of 2, the Area if the new enlarged shape is quadruple of the Area of the old shape.
Hope this Helps!!!
Given:
AC – AR
<1 = <2
Prove:
<3 =<4
Answer:
Proved: <3 =<4
Step-by-step explanation:
Alternate angles are equal
<1 = <4
<2 = <3
AC ≅ AR (Given)
Where ≅ means congruent to
When two straight lines intersect, the Vertical angles have opposite sides that are equal.
<CAR ≅ <TAD
<CAT ≅ <RAD
From the above
∆CAR is congruent to ∆TAD
This is a side angle side theorem
∆CAT is congruent to ∆RAD
This is a side angle side theorem
The side angle side theorem shows that two sides and an included angle of one triangle are equal to two sides and an included angle of another triangle.
Since corresponding parts of congruent angles are equal, <3 is congruent to <4.
<3 ≅ <4
What is the solutions of x2 = –5x + 8?
Answer:
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Step-by-step explanation:
Since moving it to one side can't be factored, I'm going to complete the square.
[tex]x^2+5x=8[/tex]
[tex]x^2+5x+6.25=8+6.25[/tex]
[tex](x+2.5)^2=14.25[/tex]
[tex]x+2.5=\sqrt{14.25}[/tex]
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
In 2010 Singapore welcome 11600000 overseas visitors.This value has been rounded off to the nearest 100000.What are the largest and smallest possible numbers of overseas visitors?
Answer:
The largest possible number of overseas visitors would be 11,640,000.
The smallest possible number of overseas visitors would be 11,550,000.
Step-by-step explanation:
The number 11,600,000 was rounded off to the nearest 100,000.
This means that either 0 or 1 was added to the figure with place value of 100,000.
It would be zero (0) in the case where the number after the 100,000th placed value number is lower than 5 and it would be one (1) in the case where the number after the 100,000th placed value is greater than or equal to 5.
Therefore, the largest possible number of overseas visitors would be 11,640,000.
The smallest possible number of overseas visitors would be 11,550,000.
Question is in the pic
Answer:
Brainliest!
Step-by-step explanation:
took 5 minutes to drain at a rate of 300 gallons per minute
this means there were 1500 gallons that need to be drained
it is now draining at a speed of 500 gallons per minute
1500/500 = 3
so its 3 minutes
[tex]\sqrt{-16} -\sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4} +3i-3i^{2} +3i^3[/tex]
Answer:
4(i-1)Step-by-step explanation:
Given the expression [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]
On simplifying;
First we need to note that i² = -1 and √-1 = i
Substituting the values in the expression, it becomes;
= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)
= 4i-√9-√16+3i+3-3i
= 4i-3-4+3
= 4i-4
= 4(i-1)
Which table represents a linear function that has a slope of 5 and a y-intercept of 20? A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, 20, 40, 60. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, negative 20, negative 40, negative 60. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 20, 40, 60. Column 2 is labeled y with entries negative 4, 0, 4, 8. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 60, negative 40, negative 20, 0. Column 2 is labeled y with entries 8, 4, 0, negative 4.
Answer:
A
Step-by-step explanation:
Answer:
A should be the correct answer.
Step-by-step explanation:
Hope this helps
Can I get help with this?
Answer:
BC = 38
Step-by-step explanation:
Central Angle = Intercepted Arc
BC = 38
.
[140
m21%
10.70
050
060
Answer:
93%
Step-by-step explanation:
caculator
Solve application using algebra. Write your equation or inequality and show your solving steps. The sum of 3 consecutive integers is 147. Find the 3 integers.
Answer:
Integers are 48, 49, 50
Step-by-step explanation:
x+(x+1)+(x+2) = 147
3x + 3 = 147
3x = 147-3
x = 144 / 3 = 48
5.
Statements
Reasons
Given
AC bisects ZBCD
8
DC I AD
Given
Given:
ВСІ АВ
Given
AC bisects ZBCD
DC 1 AD
BC 1 AB
Right angles are:
Prove:
AC = AC
BC=DC
I
Answer:
Step-by-step explanation:
Given: AC is a bisector of ∠BCD
DC ⊥ AD
BC ⊥ AB
To prove : BC ≅ Dc
Statements Reasons
1). AC bisects ∠BCD 1). Given
2)∠ACB ≅ ∠ACD 2). AC is a bisector of ∠BCD
3). DC ⊥ AD 3). Given
4). m∠ADC = 90° 4). DC is perpendicular to AD
5). BC ⊥ AB 5). Given
6). m∠ABC = 90° 6). BC is perpendicular to AB
7). ∠ABC ≅ ∠ADC 7). Right angles are congruent
8). AC ≅ AC 8). Reflexive property
9). ΔABC ≅ ΔADC 9). AL property of congruence
10). BC ≅ DC 10). CPCTC
Help help help please urgent ❤️
Answer:
5565
Step-by-step explanation:
5565
intuitively i think its 5565 ;)
Please help me with this math problem, urgent please
problem decoded dude
follow meh
Answer:
(5z +2) (z+1)
Step-by-step explanation:
5z^2 +7z +2
(5z +2) (z+1)
The first term when multiplied out is 5z^2 The last term is 2
The middle term is 2z+5z = 7z so this is the correct factorization
Which set of angles measures could be the angles of a triangle?
Answer:
option A
Step-by-step explanation:
a triangle must equal 180 degrees option a equals 180 degrees
Answer: 75 10 34
Step-by-step explanation:
Drag each equation to show if it could be a correct first step to solving the equation
4(3 + x)=36
4(3+x)=144
(4•3)+(4•x)=36
12+4x=36
12+x=36
3+4x=36
3+x=9
Yes,no,not enough
Answer:
x=6
Step-by-step explanation:
4(3+x)=36
12+4x=36
4x=36-12
4x=24
x=6
Proof: 4(3+x)=36
4(3+6)=36
12+24=36
36=36
Hope it helps
Answer:
yw
Step-by-step explanation:
Simplify
Please thanks
Answer: - 6xy/23xy
Step-by-step explanation:
They're both simplified by 11.
How many units long is a segment whose endpoints are (2,3) and (7,15)?
Answer:
13 units
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Simply plug in your variables
[tex]d = \sqrt{(7-2)^2 + (15-3)^2}[/tex]
[tex]d = \sqrt{5^2 + 12^2}[/tex]
[tex]d = \sqrt{25 + 144}[/tex]
[tex]d = \sqrt{169}[/tex]
d = 13