Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;
The number required is 1500The number in decimal notation is 1500.0Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:
{1000, 1001, 1002, 1003, 1004,......, 2000}
So that:
i. 1000 converted to base 5, we have:
5 1000
5 200 r 0
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13000_{5}[/tex]
ii. 1001 converted to base 5, we have:
5 1001
5 200 r 1
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13001_{5}[/tex]
iii. 1002 converted to base 5, we have:
5 1002
5 200 r 2
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13002_{5}[/tex]
So then, the set in base 5 is:
{13000, 13001, 13002, 13003, 13004,......, 31000}
To determine the number whose digits have the least sum;
a. 13000 = 1 + 3 + 0 + 0 + 0 = 4
b. 13001 = 1 + 3 + 0 + 0 + 1 = 5
c. 13002 = 1 + 3 + 0 + 0 + 2 = 6
d. 13003 = 1 + 3 + 0 + 0 + 3 = 7
e. 13004 = 1 + 3 + 0 + 0 + 4 = 8
. . . . . . .
. . . . . . .
z. 31000 = 3 + 1 + 0 + 0 + 0 = 4
Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:
[tex]\frac{1000+1500+2000}{3}[/tex] = 1500
The number is 1500The number in decimal notation is 1500.0Visit: https://brainly.com/question/25112081
Answer:
I think its 1500
Step-by-step explanation:
1500
7. Your class wants to raise more than $350 for the Freshman party and you choose to sell candy and cookies to accomplish this task. You earn $6 on
each basket of candy, b, and $3 on each box of cookies, c, that you sell.
a Write a linear inequality that represents this situation
3b + 6c > 350
b. If the number of box of cookies sold is 78, at least how many baskets of candy will you need to sell to reach your goal?
Answer:
20
Step-by-step explanation:
first, find out how much money you already made:
78 x 3 = 234
then, find out how much more you need to make:
350-234=116
divide the price of candy baskets by the amount of money left y out need to make:
116/6=19.3
round becauee you can’t sell .3 of a basket
19.3 rounds to 20
Which equation gives the line shown on the graph?
Answer:
[tex]y=\frac{1}{2} x+4[/tex]
Step-by-step explanation:
so the last option
hope this helps!
Answer 15 and 16 and get 50 points
No link
Answer:
(1) x=5 (2) I think the answer to 16 is 3/5 but not 100% sure
Step-by-step explanation:
(1) 29=5x+4
Step 1: Flip the equation.
5x+4=29
Step 2: Subtract 4 from both sides.
5x+4−4=29−4
5x=25
Step 3: Divide both sides by 5.
5x /5 = 25 /5
x=5
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120
Factor completely given the following factors: (x+5) and (x+3)
There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps
Answer:
(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized and the 2 trinomials is underlined
Step-by-step explanation:
Zane calculated the missing side length of one of these triangles using the pythagorean theorem. Which triangle is it? a b c d.
Answer:
d
Step-by-step explanation:
7.6.1 Determine the new dimensions of the follo figures below given the scale factor: 1 Scale Factor of 1/4 4 U! 6 15 in 12 in
Answer: at least 2
Step-by-step explanation: idek
Your Fourthknight team is holding a fundraiser. The list shows all expenses for the fundraiser.
- A tablet that costs $250
- Soccer tickets that cost $150
- Gift cards totaling $425
- The cost of catering is $875
The members of the team will sell tickets at the fundraiser. The ticket cost is set so that 68 tickets will pay for the cost of prizes and food.
How much does each ticket cost?
Model the profit for the fundraiser using an equation:
Answer:
25
Step-by-step explanation:
Because when you add all the cost and divide by the amount of tickets you get 25
The DEGREE of algebraic expression 2xy + 7 is
A) 2
B) 3
C) 7
D) xy
TY!!
8x^2x WHATS THE STANDARD FORM WHATS THE COEFFICIENT QUICKLY PLSS
Please solve correctly :)
Part C only!!!
Answer:
So, the average rate of change is 0.475.
Step-by-step explanation:
If n = 2, then f(n) = 8.82. If n = 6, then f(n) ≈ 10.72. Now, 10.72 – 8.82/ 6 – 2 = 1.9/ 4 = 0.475.
what is 75 percent of 18
Answer:
13.5
Step-by-step explanation:
can someone please assist me in these equations!?!?! pls
Answer:
1. -9 because -9x6= -54, -10 because 5 x -10= -50, and x=1 because -2 x 1= -2
Step-by-step explanation:
Answer:
1. = −9
2. = −10
3. = 1
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
-12-6p-(-2)
Answer:-2(5+3p)
Step-by-step explanation:
Can someone please help me? Thank you!
Answer:
Step-by-step explanation:
1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.
Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]
2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{5}[/tex]
3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.
Radical form is [tex]\sqrt[5]{3^{2} }[/tex]
4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{3^{5} }[/tex]
If you need to ask any question, please let me know.Question in on picture attached
Answer: 12
Step-by-step explanation:
180 = 76 + (3x+3) + (6x-7) = 12
Each diagram shows △ABC and △DEF on the coordinate plane, with ∠A ≅ ∠E,
and ∠C ≅ ∠F. Identify whether the two triangles are congruent. If they are not
congruent, explain how you know. If they are congruent, find the length of each
side of each triangle.
Please help a brother out, I need this for a test.
Answer:
they are not congruent
Step-by-step explanation:
please help me its easy
Answer: 31.6
Step-by-step explanation:
5. Write the following numbers in order from least to greatest. 1.23; 1.2; 2.31; 3.2
(a)Find the greatest common factor (GCF) of 16 and 6.
(b)Use the GCF to factor 16 +6.
Answer:
2 x (8 + 3)
Step-by-step explanation:
b) 16 + 6 = 2 x (8 + 3)
=> 22 = 2(11)
=> 22 = 22
Therefore, 2 x (8 + 3) is your answer.
A rectangle has a length of 10 3/16 inches and a width of 6 7/8 inches. what is the perimeter of the rectangle?
Answer:
P = 34 1/8 inches
Step-by-step explanation:
P = 2l + 2w
P = 2(10 3/16) + 2(6 7/8)
convert 10 3/16 to an improper fraction: 163/16
convert 6 7/8 to an improper fraction: 55/8, which equals 110/16
P = 2(163/16) · 2(110/16)
P = 326/16 + 220/16
P = 546/16
P = 34 1/8 inches
What dp they mean 2 to the fourth equal 16.
Answer:
See Below
Step-by-step explanation:
I think you mean 2 the the fourth power, showing 2, with an exponent of 4.
To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.
2x2=4, then 4x2=8, then 8x2= 16.
Hope this helps!
What is the slope of the line shown in the graph?
Answer:
-3/2
Step-by-step explanation:
Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Find out more at: https://brainly.com/question/25285332
Is this a function?
Answer:
No, because if you do the vertical line test, the line will hit that two times, Therefore it is not a function.
Step-by-step explanation:
solve pls brainliest
Answer:
y = 13x
Step-by-step explanation:
Substitute 2 in x and you'll get 26:
y = 13•2
y = 26
I need help with this question;(
Answer:
J
Step-by-step explanation:
How to find left and right inverse of a 3x2 matrix.
Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.
To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.
For the left inverse, we have
[tex]LA=I[/tex]
[tex](LA)A^\top = IA^\top[/tex]
[tex]L\left(AA^\top\right) = A^\top[/tex]
[tex]\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]LI = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L = A^\top \left(AA^\top\right)^{-1}[/tex]
We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.
[tex]AR=I[/tex]
[tex]A^\top(AR)=A^\top I[/tex]
[tex]\left(A^\top A\right)R = A^\top[/tex]
[tex]\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]IR = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]R = \left(A^\top A\right)^{-1} A^\top[/tex]
ANSWER QUICKLY WILL GIVE BRAINLIEST
Answer:
\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]
Step-by-step explanation:
The first one.
For the equation y = -x +5, find y when x = -2
Answer:
y = 7
Step-by-step explanation:
y = -x + 5
when x = -2
y = - (-2) + 5
Double negative is positive
y = 2 + 5
y = 7
Answer:
y=7
Step-by-step explanation:
When x=-2,
y=-x+5
=-(-2)+5
=2+5
=7
A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?
Answer:
$756
Step-by-step explanation:
To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so
63%=.63
.63 x 1200
