Answer:
Step-by-step explanation:
The largest number must be less than 31.
The smallest number must be greater than 9.
Which rule is a recursive rule for the sequence 1,-6,36, -216
Answer:
3rd option
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
r = - 6 ÷ 1 = 36 ÷ - 6 = - 216 ÷ 36 = - 6
To obtain a term in the sequence multiply the previous term by - 6
Then the recursive rule is
[tex]a_{n}[/tex] = - 6 . [tex]a_{n-1}[/tex]
Answer: 1*6°=6
1*(-6)^1=-6
1*(-6)^2=36
1*(-6)^3=-216
You are playing the Integer Game. The goal of the game is for the sum of the cards in your hand to be as close to zero as possible. Here are the cards in your hand,
4
-8
-3
2
What is the current value of your hand?
Tiana uses the equation c = 21h to figure out the total amount, c, she should
charge a customer for babysitting for h hours.
a. What is the constant of proportionality? What does it mean?
b. Tiana charges $94.50 for a job. How long did she babysit for?
Show your work.
Answer:
a. The constant of proportionality is, 21
b. Tiana charges $94.50 for a job, so, c=94.50
from the given equation,
c = 21h
or, 94.50 = 21h
or, h = 94.50/21
or, h = 4.5
She babysit for 4.5 hours.
Answered by GAUTHMATH
c = 21h
94.50 = 21h
h = 94.50 ÷ 21
h = 4.5hours.
Therefore, Tiana spent 4½ hours babysitting.
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On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?
1) 3rd graph
2) 2nd graph
3) B (-♾,0)
4) 1st graph
5) C (-5,-6)
6) D (10,♾)
7) B) h= -1.5
8) C the range changes from {y|y>0} to {y|y>2}
9) D h must be negative and k must be positive
10) A k= -2.5
Answer:
c
Step-by-step explanation:
it just is
A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.
Answer:
Bus charges for 30 people = $98
Step-by-step explanation:
Given:
Car A charges for 2 people = $14
Car B charges for 4 people = $20
Van charges for 8 people = $32
Find:
Bus charges for 30 people
Computation:
Assume;
Fix charge = b
Variable charges = a
So,
2a + b = 14.................................. Eq 1
4a + b = 20 ..............................Eq2
From Eq 1 and 2
a = 3
Variable charges = $3
Fix charge = 8
So,
Bus charges for 30 people = 30a + b
Bus charges for 30 people = 30(3) + 8
Bus charges for 30 people = $98
If eleven plus two equal one what does nine plus five equal?
Answer:
huh???
Step-by-step explanation:
how does that make sence
Anyone please help me
Answer:
A) 1/13
Step-by-step explanation:
In a deck of 52 cards, there are 13 clubs. Out of those 13 clubs, there is 1 ten.
Since a club was drawn, the probability of the card being a ten is:
1 ten out of 13 clubs = 1/13
how many halves are in 2 whole objects
Find the perimeter of the figure. Use 3.14 for pi. (The figure is not to scale, round to at least 1 decimal place).
The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?
Answer:
y = 4x -2
Step-by-step explanation:
y = 4x + b
6 = 4(2) + b
6 = 8 + b
-2 = b
Amanda has six more than four times the number of crayons that Clyde has. (write the equation)
Answer:
y = 4x + 6Step-by-step explanation:
Clyde has x crayons.
Amanda has y crayons.
The equation:
y = 4x + 6
I know you have to use the half life formula but I don’t know how to use it could someone show how to find the solution step by step? Thank you
Answer:
[tex]A = Pe ^{-0.03108 * t}[/tex]
Step-by-step explanation:
Note: these are typically two part questions...
you have the model and have to FIRST find a constant value "k"
once you have the "k" value you plug that into the model to finish the problem
[tex]A = Pe ^{-kt}[/tex] is a typical version of the continuous decay...
e is "e 2.717" not a variable "e"
so... step 1.. fink k
you are told that the 1/2 life is 22.3 years...
so lets assume that we started with 2 units of lead, and waited for it to decrease to 1 (1 is 1/2 of 2)
you would have
1 = 2[tex]e^{k * 22.3}[/tex]
.5 = [tex]e^{k * 22.3}[/tex]
ln(.5) = 22.3k ln(e)
ln(e) = 1
ln(.5) = 22.3k
ln(.5) = 22.3k ln(e)
[tex]\frac{ln(.5) }{22.3} = k[/tex]
[tex]\frac{\ln \left(0.5\right)}{22.3}=-0.03108[/tex] = k
Please help me!! I don’t underatsnd
Answer:
23°
Step-by-step explanation:
13x + 154 = 180
13x = 26
x =2
~~~~~~~~~~~~
6(2) + 11
12+11 =23
Ricardo llega cada mañana a su trbajo con 5 minutos de retraso. Cúanto dinero le descuentan al cabo de 30 dIas si por cada hora tiene una multa de s/2,80
Respuesta:
7
Explicación paso a paso:
Dado :
Último minuto por día = 5 minutos
Número de retrasos = 3 días
Número total de minutos tarde = (30 * 5) = 150 minutos
Cargo por multa por pago tardío por hora = 2,80
Total de horas tardías = 150 minutos / 60 = 2,5 horas
Cargo total por multa por mora = 2.80 * 2.5
Cargo total por multa por mora = 7
Here is a circle, centre 0, and the tangent to the circle at the
point (-7, 24) on the circle.
Find an equation of the tangent at the point P.
Give your answer in the form y = ax + b where a and b are both
fractions with denominator 24.
Answer:
[tex] y = \dfrac{7}{24}x + \dfrac{625}{24} [/tex]
Step-by-step explanation:
The radius drawn to the tangent at the point of tangency is perpendicular to the tangent.
The radius has endpoints (0, 0) and (-7, 24). The slope of the line containing the radius is
[tex] m_r = \dfrac{24 - 0}{-7 - 0} [/tex]
[tex] m_r = -\dfrac{24}{7} [/tex]
The slope of the tangent is the negative reciprocal of the slope of the radius.
[tex] m_t = \dfrac{7}{24} [/tex]
The tangent contains point (-7, 24).
y = mx + b
[tex] 24 = \dfrac{7}{24}(-7) + b [/tex]
[tex] 24 = -\dfrac{49}{24} + b [/tex]
[tex] \dfrac{576}{24} + \dfrac{49}{24} = b [/tex]
[tex] b = \dfrac{625}{24} [/tex]
The equation of the tangent is
[tex] y = \dfrac{7}{24}x + \dfrac{625}{24} [/tex]
An equation of the tangent at the point P is y=7/24 x+625/24.
Given that, here is a circle, center O, and the tangent to the circle at the point (-7, 24) on the circle.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The radius drawn to the tangent at the point of tangency is perpendicular to the tangent.
The radius has endpoints (0, 0) and (-7, 24). The slope of the line containing the radius is m= (24-0)/(-7-0)
= -24/7
The slope of the tangent is the negative reciprocal of the slope of the radius.
So, slope =7/24
The tangent contains point (-7, 24), so 24=7/24 (-7)+24b
⇒ 576=-49+24b
⇒ b=625/24
Now, with m=7/24 and b=625/24, we have
y=7/24 x+625/24
Therefore, an equation of the tangent at the point P is y=7/24 x+625/24.
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Sphere A has a radius of 24 centimeters, and sphere Bhas a diameter of 42 centimeters. The radius of sphere A is
muided by what factor to produce the radius of sphere B2
Answer:
A's radius is half so multiply it by 2 to get the diameter which is the same as B's.
Step-by-step explanation:
Giải hệ pt :{ 2x-3y=1
{x+2y=4
x+2y=4 ] × (-2) —> -2x-4y=-8
2x-3y=1
-2x-4y=-8
_________o_o___
–7y=–7 —> y =1
2x-3y=1 —> 2x -3(1)=1 —> 2x-3=1 —> 2x=1+3 —> 2x=4
x=4/2 —> x=2
(x,y) —> ( 2,1)
I hope I helped you ^_^Which choice is equivalent to the quotient below square root 32/ square root 8
Answer:
there no choice but what i can do for you is [tex]\sqrt{32} =4\sqrt{2}[/tex] & [tex]\sqrt{8} =2^3[/tex]
The equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.
What is the square root of any number?
The square root of any number is equal to a number, which when squared gives the original number.
What is an equivalent expression?Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.
According to the given question.
We have a fraction [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex]
Therefore, the equivalent fraction for [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is given by
[tex]\frac{\sqrt{32} }{\sqrt{8} } =\frac{\sqrt{4} \sqrt{8} }{\sqrt{8} }[/tex]
⇒[tex]\frac{\sqrt{32} }{\sqrt{8} } =\sqrt{4} =\frac{2}{1}[/tex]
Hence, the equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.
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The length and width of a rectangle are in a 3 : 5 ratio. The perimeter of the
rectangle is 64. What are the length and width of the rectangle?
Answer:
Step-by-step explanation:
Rectangle:
Length : Width = 3 : 5
Length = 3x
Width = 5x
Perimeter = 64
2*(length + width) = 64
2*(3x + 5x) = 64 {Add like terms}
2 * 8x = 64
16x = 64 {Divide both sides by 16}
x = 64/16
x = 4
Length = 3*4 = 12 units
Width = 5*4 = 20 units
Answer:
Step-by-step explanation:
solution;
here
let us suppose the ratios of length and width of rectangle be 3x and 5x
if the perimeter of rectangle is 64
we know that,
perimeter of rectangle=2 (l + w)
or, 64=2(3x +5x)
or, 64=2(8x)
or, 64=16x
or, x=4
therefore length=3x
3*4=12
width=5x
5*4=20
need help, please need help
Answer:
Step-by-step explanation:
thats your problem learn how to pay attention lol
HELP !!!!
what is the area of this figure
Answer:
1049760
Step-by-step explanation:
Just multiple
This is the answer to this question
Answer:
1,049,760
Step-by-step explanation:
9 x 3 = 27
27 x 8 x 3 = 648
648 x 15 x 3 = 29,160
29,160 x 6 x 6 = 1,049,760
Therefore the answer is 1,049,760.
Does anyone know the answer to this math question?
Answer:
sorry i don,t know but i am finding
if i get then i hep you
Step-by-step explanation:
thanks and have nice day
if x = 2 is a solution to the system shown below, then what must be value of b?
y = 7x + 4
y = 3x + b
——————————————-
(1) 5
(2) -4
(3) -17
(4) 12
thank you in advance for anyone that helps answer this :))
Answer:
(4). 12
Step-by-step explanation:
Question 1 of 9
Which of the following is the equation of the quadratic function below?
-10
10
10
Answer:
B
Step-by-step explanation:
The zeros ( where the graph crosses the x- axis ) are x = 2 and x = 6
The corresponding factors are (x - 2) and (x - 6) and the equation is the product of the factors, so
y = (x - 2)(x - 6) ← expand using Foil
y = x² - 8x + 12 → B
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
Step-by-step explanation:
7) 4*5 - 2*3 = answer
20-6 = 14
8) 5*4 - 2*(2*2) = answer
20 -8 = 12
Find the diagonal of a rectangular frame which measures 77 in. by 36 in.
Answer:
85
Step-by-step explanation:
think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :
77^2 + 36^2 = c^2
7225 = c^2
c = 85
Graph: f(x) = 3/2 (2)x
Step 1: Calculate the initial value of the function.
f(0)=
Answer:
Step 1: 1.5
Step 2: Plot the points (0, 1.5)
Step 3: 3, then 0.75
Step 4: Plot the points (1, 3) and (-1, 0.75)
Step 5: y=0
Step-by-step explanation:
Ur welcome and have a nice day :>
The initial value of the function f(x) = 3/2 (2)^x is 3/2
How to calculate the initial value of the function?The function expression is given s:
f(x) = 3/2 (2)^x
Substitute 0 for x
f(0) = 3/2 (2)^0
Evaluate the exponent
f(0) = 3/2 * 1
Evaluate the product
f(0) = 3/2
Hence, the initial value of the function is 3/2
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SOMEONE PLEASE HELP ME!
What does it mean in geometry when they are putting segments over each other to show proportionality? In some video about triangle proportionality theorem, he says "BA to the length of MA " then draws BA over MA like a fraction. What does he mean "to the length of"
Answer:
Read below.
Step-by-step explanation:
The expression "BA to the length of MA" is probably part of the expression "the length of BA to the length of MA" and is a ratio.
A proportion is setting two ratios equal.
If two triangles are similar, then the lengths of corresponding sides are proportional. That means that the ratios of the lengths of corresponding sides are equal.
For example, let's say you are given triangles ABC and XYZ, and you are told that triangle ABC is similar to triangle XYZ.
By the order of the letters in ABC and XYZ, you can conclude that
side AB corresponds to side XY
side AC corresponds to side XZ
side BC corresponds to side YZ
Since the lengths of corresponding sides are in the same ratio, so you can further conclude that
the length of AB is to the length of XY as
the length of AC is to the length of XZ as
the length of BC is to the length of YZ
Mathematically, you can write the previous three lines as the proportion
AB/XY = AC/XZ = BC/YZ
How many positive integers less than 100 are divisible by 7 but not divisible by 2, 3, 4, or 5?
Answer: 4 positive integers
Step-by-step explanation:
Positive integers less than 100 that are divisible by 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.
Let's write out numbers that are not divisible by 2 or 4:
7, 21, 35, 49, 63, 77, 91.
Now let's write out numbers that are not divisible by 3:
7, 35, 49, 77, 91.
Finally, let's write out the numbers that are not divisible by 5:
7, 49, 77, 91.
Thus, there are only 4 positive integers less than 100 that are divisible by 7, but not divisible by 2, 3, 4, or 5.
