Answer:
The scientist stated her hypothesis, set up a controlled experiment, and isolated the variable that could affect her work.
Which equation represents a population of 490 animals that increases at an annual rate of 20% ?
Answer:
Step-by-step explanation:
The standard form of this exponential function is
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is
[tex]y=490(.2)^x[/tex]
Find the constant of proportionality (r) in the equation y=rx
Answer:
r = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given the proportional equation
y = rx ← r is the constant of proportion
Divide both sides by x
[tex]\frac{y}{x}[/tex] = r
Use any ordered pair from the table.
Using (8, 2 ) , then
r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
Answer:
1/4
Step-by-step explanation:
Multiplying the input (x) by (1/4) results in the output. This is direct proportion, and the constant of proportionality is (1/4).
Can you please show all your work plus the equation
Indicate the answer choice that best completes the statem
Write each equa ton in standard form. Identify A, B, and c
y=3/8x+5
Answer:
y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina
Step-by-step explanation:
[tex]\frac{1}{3} (21y + 39) = -36[/tex]
1/3(21y+39)=-26 can be simplified into
7y +13 = -26
Next, subtract 13 from both sides
7y= -39
Now divide both sides by 7
Your answer is y=-39/7
Answer:
y = -7
Step-by-step explanation:
1/3 (21y+39) = -36
Distribute
7y +13 = -36
Subtract 13 from each side
7y+13-13 = -36-13
7y = -49
Divide each side by 7
7y/7 = -49/7
y = -7
Monica has $10-off coupon. write an expression that describes the cost of t T-shirts, not including sales tax.
Answer:
19.95t - $10
Step-by-step explanation:
I think this is the answer but i could be absolutely wrong
How do you factorise with letters and numbers please explain clearly example
7ab+14b how do I put that in brackets and what are the rules when factoring
Answer:
7b(a+2)
Step-by-step explanation:
First. look at the coefficient. See if they are common multiple of some number. If so find the GCF between them.
Then find the variable both terms share.
Put the GCF coeffiecnt and the variable both terms share outside the parentheses.
Inside the parenthesis will be a term that multiplied by the term outside of the parenthesis will equal the original equation.
For example, 7ab+14b.
Set up equation.
[tex]7ab + 14b[/tex]
Both terms share a b variable and 7 and 14 GCF is 7 so
let factor out 7b.
[tex]7b(a + 2)[/tex]
Why is inside the parenthesis is the term (a+2). If we divide 7ab+14b by 7b separately we get
[tex]a + 2[/tex]
Claire is c years old now. In 6 years' time she will be 18.
Answer:
12
Step-by-step explanation:
she is now 12 years old.how easy question.
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
х
y
6
2.
А
12
4
30
10
х
у
3
1.8
B
7
4.2
9
5.4
T
y
4
1.2
с
8
2.4
13
3.9
Answer:
C
Step-by-step explanation:
y=kx or xy=k are true such that k=0.3
in C, 1.2=4*0.3, 2.4=8*0.3, and 3.9=13*0.3, so C follows this rule
Simplify. (4x^2 - 2x) (-3x^2 - 4x^2 +1)
A) -12x^5 - 10x^4 + 8x^3 + 4x^2 -2x
B) -12x^5 -22x^4 - 8x^3 + 4x^2 - 2x
C) 12x^5 - 10x^4 +8x^3 + 4x^2 -2x
D) 12x^5 - 22x^4 - 8x^3 + 4x^2 - 2x
Answer: Is the equation enered correctly?
1. The second term, (-3x^2-4x^2+1) is the same as (-7x^2 + 1)
2. I don't see how the answer could contain an x^5 term. The largest I see from the information is x^4
Step-by-step explanation:
4 - 2(x-4)/ 3= 3(2x+5)/2
linear equation in one variable
no spamms❌❌❌❌
Step-by-step explanation:
4-2x+8/3 = 6x+15/2
12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)
20-2x/3=6x+15/2
Do cross multiplication
2(20-2x) = 3(6x+15)
40-4x=18x+45
-4x-18x=45+40
-22x= 85
-x= 85/22
x= - 3.86..
hope it helps
if a set of 14 pens is 12.44 then what is the cost of each pen
Answer:
Convert to a decimal by dividing the numerator by the denominator.
$1.15 = Estimate.
pens per then .
Step-by-step explanation:
14 Divided 12.44
A recipe for fluffy slime calls for 3 3/4 cups of shaving
cream, 1/2 cup of glue, 1/2 teaspoon of baking soda
and 1 1/2 tablespoons of saline solution; this is
enough for 2 people. How much shaving cream
would you need if you were making enough slime
for ten people?
Answer:
75/4 cups (or 18-3/4 cups)
Step-by-step explanation:
2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream
10 people ----> requires 5 times the amount of shaving cream needed for 2 people
Hence shaving cream is needed for 10 people
= 5 x 3 3/4 cups
= 5 x 15/4 cups
= 75/4 cups (or 18-3/4 cups)
lemme know if it helped <3. and lemme me know if it's right :) .!
A shopkeepers bought 500 glass tumblers at rs 40 each . 20 glass tumblers were broken and he sold the rest at rs 45 each. Find his profit or loss percent
if you will solve this questions in copy and send me pictures of the answer then it will be very helpful for me please
500 at 40 each = £20000
To make a profit he needs to make more than £20000
20 broke so he sold 500-20 = 480 at 45 each.
480 x 45 = 21600
Profit = 21600 -20000 = 1600
His profit was £1,600
if two rectangles have the same perimeter, do they have to be congruent??
Answer:
No they do not have to be congruent.
Two rectangles with the same perimeter but may not be congruent, because the length and width dimensions of each may be different.
Match each value with its formula for ΔABC.
(choices are in 2nd pic)
Answer:
1- x b
2-sinc
3-sin b
4-sin a
5- x c
6- x a
Step-by-step explanation:
Evaluate :
A. [tex]x^{x^3}=3[/tex]
B. [tex]4^x +6^x =9^x[/tex]
Answer:
A. [tex]x^{x^3} = 3[/tex]log [tex]x^{x^3}[/tex] = log 3x³ log x = log 33x³ log x = 3 log 3x³ log x³ = log 3³[tex]x^3^{x^3}[/tex] = 3³x³ = 3x = [tex]3^{1/3}[/tex]B.4ˣ + 6ˣ = 9ˣ2²ˣ + 2ˣ3ˣ = 3²ˣDivide both sides by 2²ˣ
1 + (3/2)ˣ = (3/2)²ˣSubstitute (3/2)ˣ = t
t² - t - 1 = 0Solve for t:
t = (1 ± √5)/2Positive root is considered as (3/2)ˣ can't be negative.
(3/2)ˣ = (1 + √5)/2x = log [(1 + √5)/2] / log (3/2)x = 1.18681439028PLEASE HELP, I UNDERSTAND BUT DONT UNDERSTAND
Answer:
(7/12) + (4q/6)
Step-by-step explanation:
[tex] \frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3} \\ = \frac{11}{12} + \frac{4}{6} q - \frac{1}{3} \\ = \frac{11}{12} - \frac{1}{3} + \frac{4}{6} q \\ = \frac{11}{12} - \frac{4}{12} + \frac{4}{6} q \\ = \frac{7}{12} + \frac{4}{6} q[/tex]
Answer:
Step-by-step explanation:
Like terms have same variable with same power.
(11/12 and 1/3 are like terms) & (-1q/6 & 5q/6 are like terms}
[tex]\dfrac{11}{12}-\dfrac{1}{6}q+\dfrac{5}{6}q-\dfrac{1}{3}=(\dfrac{11}{12}-\dfrac{1}{3})-\dfrac{1}{6}q+\dfrac{5}{6}q\\\\=(\dfrac{11}{12}-\dfrac{1*4}{3*4})+[\dfrac{-1+5}{6}]q\\\\=(\dfrac{11}{12}-\dfrac{4}{12})+\dfrac{4}{6}q\\\\=\dfrac{(11-4)}{12}q+\dfrac{4}{6}q\\\\=\dfrac{7}{12}+\dfrac{4}{6}q[/tex]
Are the following proportional? Explain or show
your reasoning
3/5 and 18/25
Answer:
No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!
Step-by-step explanation:
Hope this helps :)
what is the solution to the compound inequality in interval notation
Answer:
First choice is the right answer (-∞, -9] or (2, ∞)
Step-by-step explanation:
I. Solve 1st problem 2(2x - 1) > 6
4x-2 > 6
4x > 6+2
x > 2
II. Solve 2nd problem x + 3 <= -6
x <= -6-3
x <= -9
III. Prove the answer
if x > 2 then x = 3
2( 2(3)-1 ) > 6
2(5) > 6
10 > 6 so the answer is true
if x <= -9 then x = -9
-9 + 3 <= -6
-6 <= -6 so the answer is true
Hope that help :D
How do you translate "Twelve decreased by a quarter of number, x. in a variable expression
Answer:
12 - (¼*x)
Step-by-step explanation:
If something is "decreased by" in mathematics we are looking at a minus sign (-).
For instance 5 decreased by 2 is 5 - 2
Write 6.21 as a mixed number in simplest form.
Answer:
6.211=( 6.21×100) (1×100) =621100
Hope that helped you
The ratio of oranges to apples in a basket is 3:4. If 6 oranges were taken from the basket and 6 apples were added to the basket, the ratio of the number of oranges to apples would be 1:6. How many more apples than oranges are there in the original basket?
Answer:
There was 9 oranges and 12 apples in the original basket
Step-by-step explanation:
3:4
9:12
subract 6 oranges and add 6 apples
3:18
divide by 6
1:6
Line RS bisects segment PQ at R. If RQ = x + 9 and RP = 2x, find PQ.
Answer:
PQ measures 36 units.
Step-by-step explanation:
Line RS bisects segment PQ at R. By the definition of a bisector:
[tex]\displaystyle PR = RQ[/tex]
Hence:
We are given that RQ = x + 9 and RP = 2x, and we want to determine PQ.
Solve for x. Substitute:
[tex]\displaystyle (2x) = (x+9)[/tex]
Hence:
[tex]\displaystyle x = 9[/tex]
PQ is given by:
[tex]\displaystyle PQ = PR + RQ[/tex]
Since PR = RQ:
[tex]\displaystyle PQ =2PR[/tex]
Substitute and evaluate:
[tex]\displaystyle \begin{aligned} PQ &= 2PR \\ &= 2(2x) \\ &= 4x \\ &= 4(9) \\ &= 36 \end{aligned}[/tex]
Hence, PQ measures 36 units.
Plz Help!!
Kim is planning to rent a bike. It costs $15 per day plus $5 per hour. Kim's total bill was $100, how many hours did she rent the bike?
Answer:
17 hours
Step-by-step explanation:
total cost = fee + cost per hour * hours
100 = 15 + 5h
Subtract 15 from each side
100-15 = 5h
85 = 5h
Divide by 5
85/5 = 5h/5
17 =h
Answer:
Kim rent the bike for 17 hours.
Step-by-step explanation:
h=hours
15 + 5h = 100
Subtract 15 on both sides.
5h = 85
Divide 5 on both sides.
h = 17
9 + x + 1 + 2x
Can someone help me out with this :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{9 + x + 1 + 2x}[/tex]
[tex]\huge\text{= 9 + 1x + 1 + 2x}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{= (9 + 1) + (1x + 2x)}[/tex]
[tex]\huge\text{= 10 + 3x or 3x + 10}[/tex]
[tex]\huge\text{Answer: \textsf{3x + 10}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
You have a cup with 19 coins inside. The total inside the cup is $1.30. Determine how many nickels and dimes are inside the cup. Use a system of equations. Be sure to defined the variables and show all your work. PLS HELP!
Answer:
7 dimes and 12 nickels.
Step-by-step explanation:
12 nickels = $0.60 and 7 dimes = $0.70. $0.70 + $0.60 = $1.30.
Midpoints & endpoints
Answer:
The coordinates of A are (1, -4)
Step-by-step explanation:
The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)
However, in this problem, we're already given the midpoint. We're trying to find an endpoint. So, the equation changes into:
((x + 9) / 2 = 4, (y + 0) / 2 = -2)
For the x and y coordinates, multiply both sides by 2
(x + 9 = 8, y = -4)
(x = -1, y = -4)
Rewrite as coordinates.
(-1, -4)
find EF given E (-7, -2) and B (11, 3)
how do i solve this?
Answer:
EF ≈ 18.68
Step-by-step explanation:
Based on the info I am given I believe they are asking for the distance between E and F (i think you wrote B by mistake). (d = distance)
d =√ (x2 - x1)² + (y2 - y1)² --> (this is the distance formula)
d =√ (11 - (-7))² + (3 - (-2))²
d =√ (18)² + (5)²
d =√ 324 + 25
d =√ 349
d ≈ 18.68
can someone solve this for me?
