Indicate which is the largest decimal in each of the following pairs.
0.01 and 0.005
Answer:
0.01Step-by-step explanation:
0.01 is the largest decimal in the pair of 0.01 and 0.005
Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1
Base case: if n = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.
Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have
(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1
… = (k ² - k) + 2k
… = 2m + 2k
… = 2 (m + k)
which is clearly even. QED
447,077 is ____________________then 347,077.
Fill in the blank.
447,077 is greater than 347,077
447,077 greater than 347,077 by 100,000
447,077-347,077= 100,000
I can list more if you want! I hope I've helped!
What is the value of the expression?
3 * [(2 * 6 - 5) + (8 divided by 4)] - 1
A. 9
B. 11
C. 26
D. 32
Show Work!
[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]
Consider the equation −8x−5y=−10
A line parallel to the above line would have a slope of
A line perpendicular to the above line would have a slope of
Please Help!!
Answer:
Explanation :
The slope of the line with the equation -8x - 5y= -10 is -8/5 so the line parallel to it will have a slope of -8/5 because parallel limes have the same slope.
The line perpendicular to it will have a slope of 5/8. This is because the slopes of perpendicular lines add up to -1.
Hope this help
Determine if the following are functions of x.
(a) 5(y + 1)3 + x2 = 1
9514 1404 393
Answer:
is a function
Step-by-step explanation:
The graph passes the vertical line test, so the relation is a function of x.
100 points-Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)^x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.
Step-by-step explanation:
Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:
A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time
Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.
Thus, to combine these, we simply multiply them together to get:
h(x) * s(x) = 200(1.05)^(x - 1)
ps.can u pls mark me as the brainliest you'll also get point for that;)
Victoria can combine the two functions to model the total amount of money. Then the equation will be given below.
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function
[tex]\rm h(x) = 200[/tex]
She reads about a bank that has savings accounts that accrue interest according to the function
[tex]\rm s(x) = (1.05)^{x-1}[/tex]
[tex]A = P(1 + r)^n[/tex]
where A represents the sum, P represents the principal (starting amount), r represents the interest rate, and n represents the time.
To combine these, we simply multiply them by each other, yielding:
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
More about the compound interest link is given below.
https://brainly.com/question/25857212
Can someone help me solve these 3 trig identity problems? I am stuck on these last 3... I will give brainliest!
(calculators are allowed)
Answer:
1. 1,246
2. 0,545
3. 0,9539
Step-by-step explanation:
semoga membantu :)
Given: g(x) = -4x and h(x) = 4x +3
Find: g(h(x+1))
Answer:
-16x-28
Step-by-step explanation:
h(x+1)= 4(x+1)+3 = 4x+7
g(h(x+1))= -4[4x+7] = -16x-28
Let f(x) = -3x and g(x) = 2x-1
Find the following:
(fog)(1)
Step-by-step explanation:
steps are in picture above.
Note : if you have any confusion let me know.
9514 1404 393
Answer:
-3
Step-by-step explanation:
[tex](f\circ g)(1) = f(g(1)) = f(2\cdot1-1) = f(1)=-3\cdot1\\\\\boxed{(f\circ g)(1)=-3}[/tex]
Carmen is riding her bicycle. She rides for 22.5 kilometres at a speed of 9 kilometers per hour. For how many hours does she ride?
Answer:
2.5 hours
Step-by-step explanations:
22.5/9 = 2.5
Hope this helps! :D
(b) Ivanna bought 9 pounds of flour for $5.
How many pounds of flour did she get per dollar?
Answer:
1.8 pounds per dollar
Step-by-step explanation:
Take the pounds and divide by the dollars
9 pounds / 5 dollars
1.8 pounds per dollar
-1 and 3 tenths plus 4 tenths
The answer you are looking for is -9/10, or -0.9.
Solution:
-1 3/10+4/10
-13/10+4/10
-9/10, or -0.9
Answer:
-0.9
Step-by-step explanation:
You buy 1.86 pounds of ground beef 2,8
pls help me , i need it done
Answer:0.50
Step-by-step explanation:
Range= Highest number - lowest number
=1.50 -1.00= 0.50
Algebra Please Help!!
Answer:
c = 5/9 (F-32)
F-32 = c ÷ (5/9)
F-32 = c × (9/5)
F-32= 9c/ 5
F= (9c/5) + 32
I hope I helped you^_^
what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x
This is college? Woah I'm not advanced. Middle school!
find the smallest n so that all all of the numbers are natural, 27+n, n/3 , square root of (n+16)
Answer:
9
Step-by-step explanation:
We know it has to be a multiply of 3
27 + 3 = 30 nat number
3/3 = 1 nat number
sq root 19 not nat number
27 + 9 = 36 nat number
9/3 = 3 nat number
sq root 25 = 5 nat number
correct!
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which of the following correctly represents the movement on the number line for the calculation 21 - (- 15) + (- 30) ?
Answer:
It moves 6 to the right.
Step-by-step explanation:
21 -(-15) = 36
36+(-30)=6
write the simplest form 1/6 + 2/3 + 3/4
Answer: The answer is 1 7/12
On Monday Ryan picked a third of a pound of strawberries. On Tuesday he
icked three-fourths of a pound of strawberries. What was the total weight of the
trawberries Ryan picked?
Answer:
[tex]17 \frac{1}{3} [/tex]
Step-by-step explanation:
1/3 pound = 5.333 ( 5 1/3 ) ounces
3/4 pound = 12 ( 12 ) ounces
helppp
find the measure of the missing angles
Answer:
B and c both equal 46
Step-by-step explanation:
134-180=46
B and c are verticle angles they will equal the same number
You have 2 cups of ketchup. You need 2 Tbsp to make one serving of barbecue sauce. How many servings can you make?
Here we need to perform a change of units to see how many servings can we make. We will see that we can make 48 servings.
Change of units:
We know that we have 2 cups of ketchup and we need 2 tbsp to make a serving, so to see the total number of servings that we can make, we need to see how many teaspoons we have in 2 cups.
We can use the relation:
1 cup = 48 teaspoons.
Then:
2 cups = 2*(48 teaspoons) = 96 teaspoons.
And we need 2 per serving, then we can make a total of:
96/2 = 48 servings.
If you want to learn more about change of units, you can read:
https://brainly.com/question/9032119
Algebraic Expressions Use the Distributive Property to expand each expression 4(3x-9)
Answer:
12x-36?
Step-by-step explanation:
well 4×3x and 9× 4 gives the answer
Find the value of 9 - [4 2 - (3 + 2)].
8
6
-2
Answer:
-2
Step-by-step explanation:
9 - [4^2 - (3 + 2)]
PEMDAS says parentheses first
Working from inside out
9 - [4^2 - (5)]
9 - [16 - (5)]
9 - [11]
Subtract
-2
Step-by-step explanation:
hope it is visible and makes sense
:)
if 3x+7 Y-37 and x = 3, then Y = ?
Answer:
y = 4
Step-by-step explanation:
Given
3x + 7y = 37 ← substitute x = 3 into the equation
3(3) + 7y = 37, that is
9 + 7y = 37 ( subtract 9 from both sides )
7y = 28 ( divide both sides by 7 )
y = 4
Step-by-step explanation:
Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)
Hurry!
The simple meaning of a translation is?
O Slide
O Flip
O Turn
O Change in size
Answer:
to turn
Step-by-step explanation:
to translate in a simple definition is to turn something of a shape into another form of shape example for you to translate a language into another language in a sentence, you have to turn the letters of that language into the specific language that you want to translate
Que costaría más comprar una vaca o comprar hamburguesas de 1€ hasta igualar a una vaca.
Answer:
haha pues cuesta mas las hamburgesas porque toca ir al doctor despues
Step-by-step explanation:
(18 - 3)2 = ?
show your work
help me pls ty
Answer: 30
Step-by-step explanation:
18 - 3 is in the parenthesis so you have to solve that first. it’s 15 so the equation would then become (15)2 which is equal to 15 times 2. 15 times 2 equals 30.