Is the table linear or nonlinear?
X 0 1 2 3
Y 2 4 8 16
Answer:
It is linear
Step-by-step explanation:
The Y goes up by the same amount as the X (by 4 Y's per 1 X)
Write an equation in slope-intercept form of a line that has a slope of 1/5 and a y-intercept of 4.
Answer:
y=1/5x+4
Step-by-step explanation:
The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.
Answer:
41.91 is your answer right answer
In a GP, the sixth term is eight times the tenth term. The sum of the seventh and the eighth term is 192. Find the common ratio and the first term?
Let a(n) denote the n-th term in the GP. We're given
a(6) = 8a(10)
a(7) + a(8) = 192
In a geometric progression, consecutive terms are scaled up or down by a fixed ratio r such that
a(n) = r a(n - 1)
By substitution, we get
a(n) = r (r a(n - 2)) = r ² a(n - 2)
and we can continue the pattern down to the first term,
a(n) = r a(n - 1) = r ² a(n - 2) = r ³ a(n - 3) = … = rⁿ ⁻¹ a(1)
So we can rewrite the first two equations in terms of the first term of the GP a(1) and the common ratio r :
r ⁵ a(1) = 8r ⁹ a(1)
r ⁶ a(1) + r ⁷ a(1) = 192
Solve the first equation for r :
r ⁵ a(1) = 8r ⁹ a(1) → 1 = 8r ⁴ → r = 1/∜8 ≈ 0.5946
Solve the second equation for a(1) :
r ⁶ a(1) + r ⁷ a(1) = r ⁶ a(1) (1 + r ) = 1/(16√2) a(1) (1 + 1/∜8) = 192
→ a(1) = 6144 ∜2 / (1 + ∜8) ≈ 2724.48
Help ya girl out plsss
Answer: Scalane acute
Step-by-step explanation:
Answer:
Equilateral Acute.
Step-by-step explanation:
A triangle with 3 congruent angles is an equalateral triangle and all sides are acute
Ryan made a $3180 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
-3x + 7 = 1
what dose x represent
Answer:
the answer is x=3
Step-by-step explanation:
-3x=1-7
-3x=-6
-x=-6+3
-x=-3
x=3
4-58. Lisa plans to retire on her 61st birthday. On her
22nd birthday, Lisa will start saving SA per year for
40 years. Starting on her 62nd birthday, Lisa plans on
withdrawing $10,000 and will continue these annual
withdrawals until the account is exhausted on her 85th
birthday. If Lisa's bank account pays 3% per year, what
annual amount of SA will Lisa need to invest in her bank
account to achieve her retirement goal? (4.10)
Answer:
Lisa invest "$2180.81" in her bank.
Step-by-step explanation:
The given values are:
On Lisa's 62nd birthday,
she withdraw = $10,000
The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.
⇒ [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]
⇒ [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]
⇒ [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]
⇒ [tex]= 10000\times 16.4436\times 0.0132[/tex]
⇒ [tex]=2180.81[/tex] ($)
(BRAINIEST AND 7 POINTS !) One year ago Derek joined a health club. He paid a yearly membership fee of $28 that covered all the club's services except the raquetball
court. Derek paid an additional $7 each time he used the raquetball court. For the entire year at the health club, Derek paid a total of $119.
PART 1: Write an equation to represent the number of times (x) that Derek used the raquetball court.
Equation:
PART 2: Solve the Equation your wrote for part 1.
X=
—————————————
This is worth 60% of my grade ! Please help.
Answer: 7x+28=119
x=13
Step-by-step explanation:
Answer:
119= 7x + 28
x=13
Step-by-step explanation:
This problem requires an equation. y= mx+ b, where y is your total, mx is your slope, and b is your y intercept. Your total is 119, your yearly fee is 28 ( which is b since it only happens ones), and 7 is x (since x represents each time) So 119=7x+28. Now to solve this we would subtract 28 from both sides and then divide that number by 7. So 119-28 is 91. 91/7 is 13. He used the racketball court 13 times. You can plug 13 to make sure.
119= 7(13) + 28.
Skylas research Shows at eight empty cans make 1/ 4th pound of aluminum
she
wants to know how many cans it takes to make 5 pounds of aluminum how many kids are there per pound of aluminum
Answer:
160 cans for 5 pounds of aluminum
Step-by-step explanation:
which statement best describes the roots of f(x)=x^2-6x+25?
Answer:
permiteme veré en álgebra baldor
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
What are the roots of the equation?Let the equation be ax² + bx + c = 0. Then the roots of the equation will be
[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]
The quadratic equation is given below.
f(x) = x² - 6x + 25
Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.
Then the roots of the equation are given as,
[tex]\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}[/tex]
Simplify the equation further, then we have
x = 3 ± 4i
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
More about the roots of the equation link is given below.
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Can some one help plz
Given:
The parent function is
[tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex]
The translated function is
[tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex]
To find:
The correct statement from the given options.
Solution:
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex]
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
In the parent function we have x in the power but in the translated function we have (x+3). So, a=3>0, the graph shifts 3 units left.
In the translated function, we have b=-2<0, so the graph shifts 2 units down.
The graph of [tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex] is a horizontal shift to the left 3 units and a vertical shift down 2 units from the original function [tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex].
Therefore, the correct option is A.
raíz cuadrada de 19384
Answer:
WHat does that mean?/
Step-by-step explanation:
HELP AGAIN I NEED IT BADLY
Answer:
A. 5b - w + 8
Step-by-step explanation:
3w + 6 - 4w + 3b + 2 + 2b
= 3w - 4w + 3b + 2b + 6 + 2
= -w + 5b + 8
= 5b - w + 8
=> A. 5b - w + 8
The local newspaper tells you that ad space costs 40 per column-inch. A "column-inchis space one column wide nch high. You want to buy a space 3 columns wide and 5 inches high. What will it cost you?
A.) $40
B.) $120
C.) $200
D.) $600
Answer:
it should be 600
Step-by-step explanation:
40x3=120x5=600
Someone help me out please.
Answer:
The answer should be 64.21 or 64
Step-by-step explanation:
Help this Helped
3m+n=10
5m-2n=2
what is the answer for this one
Answer:
m = 2
n = 4
Step-by-step explanation:
Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:
3m + n = 10
multiply both sides by 2
6m + 2n = 20
now, in both of your equations you have 2n so you can add the two equations:
6m + 2n = 20
+ 5m - 2n = 2
11m = 22
divide both sides by 11
m = 2.
Now, plug this value into the original equation, 3m + n = 10:
3 * 2 + n = 10
6 + n = 10
subtract 6 from both sides
n = 4
please answer this quick. will give brainliest
Answer:
the time Ari spent to walk is
[tex]1 \frac{3}{4} \div 1 \frac{1}{4} = 1.4(h)[/tex]
the time Beth spent to walk is
[tex]1 \frac{1}{2} \div 1 \frac{1}{8} = 1.(3)(h)[/tex]
the time Cathy spent to walk is 1h21' = 1.35(h)
so the time Ari spent > Cathy > Beth
=> list: Beth, Cathy, Ari
If a sprinkler waters 1/20 of a lawn in 1/5 of an hour how much time will it take to water the entire lawn?
• 3/20 hour
• 1/4 hour
• 4 hours
• 5 hours
Answer:
4 hours
Step-by-step explanation:
ss of
3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:
Answer:
20 boys in the class
Step-by-step explanation:
40% of 50 is 20
16
Select the correct answer.
Which of these numbers are 11 units from 0 on the number line?
A: 0
B: +11
C: -11
O A.
A and B
O B.
A and C
O C.
B and C
OD. Conly
Answer:
b and c
Step-by-step explanation:
Melanie purchases 6 basketballs and 2 volleyballs for $114. A volleyball cost her $3 less than a basketball. How much did each volleyball cost?
Answer:
a volleyball is $16.5
Step-by-step explanation:
6b+2v= 114
v=b-3
6b+2(b-3)= 114
6b + 2b - 6
8b - 6 = 114
8b = 108
b= 13.5
substitute b in
6(13.5) + 2v = 114
81 + 2v = 114
2v = 33
v= 16.5
Use the graph of f to describe the transformation that results in the graph of g. Then sketch the graphs of g and f. f(x) = ; g(x) =
Answer:
Di ko alam
Step-by-step explanation:
Hirap niyan eh
A map has a scale of 2.5 inches : 4 miles. If two cities are 6 inches away from each other on the map, how far apart are they in real life?
Answer:
14.4
Step-by-step explanation:
2.5 divided by 6 is 2.4
2.4 x 6 = 14.4
2 + − 1 ( − ) + 7 ( 2 − )
Answer:
Step-by-step explanation:
15
Solve for x in the equation X2 - 10x+ 25 = 35.
o
X
<= 5+2.15
X=5+ 35
X = 10+ 2.15
X= 10+ 35
ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1
Answer:
The answer is either 56.55in or 28.27
Step-by-step explanation:
This is the formula that I used
C=2πr
Circumference = 2·π·4.5 ≈ 28.27433 or
Circumference = 2·π·9 ≈ 56.54867
The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.
Hope that helps :)
The circumference of the circle will be 56.52 inches.
The circumference of a circle can be found using the formula:
Circumference = 2πr
Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.
If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:
Circumference = 2π(9 inches)
Circumference = 18π inches
We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:
Circumference ≈ 56.52 inches
Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.
To know more about circumference follow
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To test the effectiveness of a drug proposed to relieve symptoms of depression, psychiatrists recruited volunteers for clinical tests. All of the volunteers were diagnosed with symptoms of depression. The psychiatrists provided the drug to first group and a sugar pill to the second group. In the description of the above situation, determine the control group.
Answer:
The control group is the group that takes the sugar pill
Step-by-step explanation:
In drug testing, to determine the efficacy of a drug, different groups of experimental subjects are recruited, one group is given the drug to be tested (treatment group) while another group is given a placebo.
A placebo is a fake version of the drug to be tested that does not have any therapeutic effect on the test subjects that receive it. In this case, the control group receives the placebo which is the sugar pill. They serve as the baseline of measurement when the outcome of the effect of the drug testing is done. The groups that received the actual drugs are compared against the groups that received the hoax treatment, and any change occuring in the test subjects become the changes occuring as a result of the test drug used, when the observations on the control group has been ruled out.
Michael is running a marathon. Michael can run 1/2 of a mile in 1/10 of an
hour. How many miles can he run in one hour?
Answer:
5 Miles
Step-by-step explanation:
First, start with multiplying 1/2 by 10 (because we are using 1/10), and you get 10/2, which equals 5.
Answer: How many miles can he run in one hour?
six miles
But for a normal person it's one mile per 10 minutes or about six miles per hour.
Given the perimeter is 180cm what is the length and breadth of the rectangle?