Answer:
Centimeter is the best choice.
Step-by-step explanation:
And if you want to weight the cat, it you should in ounces.
Best Regards!
Answer:
Centimeters.
Step-by-step explanation:
The metic unit that would be best to measure the height of a cat is centimeters.
The average height of cats is up to 25 centimeters.
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option. Part B: Graph each equation on the same set of axes and compare. Under what conditions is each purchasing option the best choice? Be sure to provide a thorough answer. Use detailed information from your graph to back up your choices.
Answer:
y=250x+4000y=400x+400Step-by-step explanation:
Given that:
x represents the number of months of ownership; and y represents the total paid for the car after ‘x' months.First Option (Leasing)
250x - y + 4000 = 0
Expressing the equation in the Slope-Intercept Form y=mx+b, we have:
y=250x+4000
Second Option (Financing)
$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
First, we determine the slope of the line joining (0,400) and (10,4400)
[tex]Slope, m= \dfrac{4400-400}{10-0}= \dfrac{4000}{10}=400[/tex]
We have:
y=400x+b
When y=400, x=0
400=400(0)+b
b=400
Therefore, the Slope-Intercept Form of the second option is:
y=400x+400
Significance
In the first option, there is a down payment of $4000 and a monthly payment of $250.In the second option, there is a down payment of $400 and a monthly payment of $400.Part B
We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.
i.e
When x=0, y=$4000 for leasingWhen x=0, y=$400 for financingBill is 5 years older than Sue is, and the sum of their ages is 67 years. How old is Bill ?
Answer:
36
Step-by-step explanation:
x+5=y x - Sue age and y - Bill age
x+y=67
---------
x+x+5=67
2x=62
x=31 - Sue age
---------
y=31+5
y=36 - Bill age
Answer:
Bill is 36 years old
Step-by-step explanation:
Let Bill's age be "B" and Sue's age be "S"
Given that Bill is 5 years older than Sue, we can reason that the difference between Bill's and Sue's age must be 5 years, or:
B - S = 5 -----(eq 1)
We are also given that the sum of their ages is 67, or:
B + S = 67 -----(eq 2)
We can solve this system of equations via elimination (by adding the two equations).
(eq 1 ) + (eq2)
(B - S) + (B + S) = 5 + 67
2B = 72
B = 72/2
B = 36 years old
help I don’t understand this
Answer: 90 degrees
Step-by-step explanation: Each of these angles are at 90 degrees since there is a square box at each of their second points.
NEED ANSWER IN 2 MINUTES!
Answer: 11
Step-by-step explanation:
The stem is the 10s place and leaf is the ones
Pleaseeeeeee. Helpppppppppppp meeeeeeeeeeee
Answer:
first tower needs 4
second needs 3
third needs 2
and the fourth needs 1
Total needed triangles for all is 10
Step-by-step explanation:
. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores pastel, al realizar la revisión de su paleta de pintura, este artista cuenta con siete colores fluorescentes y cinco colores pastel. De lo anterior se puede indicar que la cantidad de maneras en que puede realizar la pintura como lo desea es *
A. 305.
B. 350.
C. 405.
D. 450
Answer: B. 350.
Step-by-step explanation:
Given: Total number of fluorescent colors = 7
Total number of pastel colors = 5
Since , he want three fluorescent colors and two pastel colors.
Number of ways to select r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Number of ways to choose colors = [tex]^7C_3\times\ ^5C_2[/tex]
[tex]=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350[/tex]
Hence, the correct option is B. 350.
Use long division to find the quotient below.
(4x3 + 2x2 + 50) / (2x+5)
The quotient of the equation 4x³ + 2x² + 50 ÷ 2x + 5 using long division method is 2x² - 4x
Long division4x³ + 2x² + 50 ÷ 2x + 5
[tex] \sqrt[2x + 5]{ {4x}^{3} + {2x}^{2} + 50 } [/tex]
2x² - 4x
_____________
= 2x + 5 | 4x³ + 2x² + 50
4x³ + 10x²
__________
- 8x² + 50
-8x² - 10
__________
40
Therefore,
the quotient is 2x² - 4xThe remainder is 40Learn more about long division:
https://brainly.com/question/25289437
#SPJ1
The right triangular prism has a volume of 1,152 cm3. A right triangular prism has a volume of 1,152 centimeters cubed. The triangular bases have 2 sides with lengths of 12 centimeters. The hypotenuse length is not given. The height of the prism is x centimeters. What is the value of x, the height of the prism? 6 8 12 16
Answer:
16 cm
Step-by-step explanation:
A "right" prism is one that has the planes of the lateral faces perpendicular to the plane of the base. Here, we assume your "right triangular prism" is one that has a right triangle as a base, because you mention the "hypotenuse."
The area of the base is ...
A = (1/2)bh = (1/2)(12 cm)(12 cm) = 72 cm²
The volume of the prism is ...
V = Bh . . . . where B represents the area of the base
Filling in the numbers, we have ...
1152 cm³ = 72 cm²×h
h = (1152/72) cm = 16 cm
The height of the prism is 16 cm.
Answer:
16 cm
Step-by-step explanation:
Can someone help me
Answer:
y=22cm
Step-by-step explanation:
using L×B=A where y is L
308=14y
y=308/14
y=22cm
can someone please help me understand this
Answer:
No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
Given a function where x represents an input of a particular value, which gives an output for that particular value inputted as defined by the function, if the function is true and valid, a particular value of input should not give us different values of output.
Thus, from the table given, at x = 5, we have y = 3.
Also, at x = 5, we have y = 2.
Here, one x-value is given us two different y-values. This is not true if a function. We cannot regard the table given as representing a function.
Therefore, the answer is:
No, because one x-value corresponds to two different y-values.
Help please thank you so much
Answer:
it is a function because it doesn't have two x coordinates at the same y coordinate.
solve (-t-5)/3= (t-3)/5
Answer & Step-by-step explanation:
[tex]\frac{-t-5}{3}=\frac{t-3}{5}[/tex]
Cross multiply.
[tex]-5t-25=3t-9[/tex]
Subtract -3 on both sides.
[tex]-8t-25=-9[/tex]
Add 25 on both sides.
[tex]-8t=16[/tex]
Divide -8 on both sides.
[tex]t=-2[/tex]
What is the appropriate symbol? 1.42 _____ 1.420 = < >
Answer:
=
Step-by-step explanation:
1.42 is equal to 1.420. The 0 adds no value since it is after the decimal point so 1.420 is just 1.42, which is equal to itself, 1.42.
Answer:
=
Step-by-step explanation:
When you are looking at decimals, specifically on the right side of the decimal point, the amount of 0's after the last given non-0 digit can be disregarded.
1.420 is the same as 1.42
With this given information:
1.42 ____ 1.420
1.42 ____ 1.42
1.42 = 1.42
= would be your sign.
~
A cylinder has a diameter of 18 inches and a volume of 405/2π cubic inches. What is the height, in inches, of the cylinder? Enter the height in decimal form rounded to the nearest tenth.
Answer:
Step-by-step explanation:
diameter = 18 inches
radius = r = 18/2 = 9 in
Volume of cylinder = 405π/2
[tex]\pi r^{2}h = \frac{405}{2}\pi \\\\\\\pi * 9 * 9* h =\frac{405}{2}\pi \\\\\\h =\frac{405}{2*9*9*\pi }*\pi \\\\\\h=\frac{5}{2}[/tex]
h = 2.5 inches
Which of the following equations is graphed below?
Answer: 3rd answer choice
Step-by-step explanation:
Answer: 4th answer choice
Step-by-step explanation:
On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get groceries for the week and ends up spending more than planned. When Mica checks her account, she now has a balance of $-48.15. How much money did Mica spend at the market?
Answer: $70.65
Step-by-step explanation:
From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.
To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:
= $22.50 - (-$48.15)
= $22.50 + $48.15
= $70.65
Mics spent $70.65 at the market.
i will give best answer a right rectangular prism is shown What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
Answer:
parallelogram
Step-by-step explanation:
Answer:
parallelogram
Step-by-step explanation:
did the test
On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A straight blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4). Which statement is true regarding the functions on the graph? f(–3) = g(–4) f(–4) = g(–3) f(–3) = g(–3) f(–4) = g(–4)
Answer:
f(-3) = g(-3)
Step-by-step explanation:
We know that f(x) = g(x) where the two graphs intersect
f(-3) = g(-3)
Answer:
f(-3) = g(-3)
Step-by-step explanation:
did on edguniuty
What is g(x)?
A. g(x) = -2
B. g(x) = -x
C. g(x) = -|x|
D. g(x) = -x^2
Answer:
A. g(x) = -2^x.
Step-by-step explanation:
If g(x) = -2, it would be a straight line running horizontally.
If g(x) = -x, it would be a linear equation.
If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.
So, the remaining answer is that A. g(x) = -2^x.
Hope this helps!
Its A, [tex]-2^x[/tex].
For inputs x you can find corresponding y-values on the graph of function:
[tex]x=1\implies y=-2^1=-2[/tex]
[tex]x=2\implies y=-2^2=-4[/tex]
[tex]x=3\implies y=-2^3=-8[/tex]
.
.
.
Hope this helps.
Can someone explain how to do this?
Answer:
Step-by-step explanation:
You have to make a table. Do this by taking each of the x values you see there and plug in for x into the equation and solve for y. Then plot the points.
x| -1 | -2 | -3 | -4 | -5 |
y|
We will plug each x value in, do the math, and come up with y. The first x value is -1:
[tex]y=(-1)^2+6(-1)+10[/tex]. Do the math on that and you should get that y = 5. So one coordinate on this graph is (-1, 5).
At x = -2:
[tex]y=(-2)^2+6(-2)+10[/tex]. Do the math on that and you should get that y = 2. Another coordinate on this graph is (-2, 2).
At x = -3:
[tex]y=(-3)^2+6(-3)+10[/tex]. Do the math on that and you should get that y = 1. A third coordinate on this graph is (-3, 1).
At x = -4:
[tex]y=(-4)^2+6(-4)+10[/tex]. Do the math on that and you should get that y = 2. A fourth coordinate on this graph is (-4, 2).
At x = -5:
[tex]y=(-5)^2+6(-5)+10[/tex]. Do the math on that and you should get that y = 5. A fifth point on that graph is (-5, 5).
Plot all those points and connect the dots. This is a parabola-shaped graph because your equation is a second degree (quadratic).
I need help with this question please help
Which of the following is the graph of y= log3(x + 2)?
PLEASE ANSWER
Answer:
Correct answer option A.
Step-by-step explanation:
We need to figure out the graph of
[tex]y= log_3(x + 2)[/tex]
First of all, let us discuss graph of:
[tex]y=log_3x[/tex]
Putting x = 1 :[tex]y=log_31 = 0[/tex] ([tex]\because[/tex] log of 1 is always 0 irrespective of the base)
i.e. point (1, 0) lies on the graph.
And when we put x = 1, the log function tends to -[tex]\infty[/tex].i.e. [tex]x\rightarrow 1 \Rightarrow y\rightarrow -\infty[/tex]
Putting x = 3[tex]y =log_33 = 1[/tex] i.e. point (3, 1) lies on the graph
Graph of logarithmic function is always increasing.
Now, let us consider the graph of [tex]y= log_3(x + 2)[/tex]
Putting x = -1, [tex]y= log_3(-1 + 2) = log_31 = 0[/tex] So, the point that lies on graph is (-1, 0)Putting x = 1, [tex]y= log_3(1 + 2) = log_33 = 1[/tex] So, the point that lies on graph is (1,1).Putting x = -2, [tex]y= log_3(-2 + 2) = log_30 \rightarrow -\infty[/tex]Please refer to attached graph as well.
Correct answer option A.
The correct option is A, just got it right (:
Which represents the reflection of f(x) = x over the y-axis?
х
-1
0
1
4
f(x)
undefined
0
1
2
f(x)
х
-1
0
1
1
0
-1
-2
4
Answer:
Graph having x ≤ 0
Step-by-step explanation:
f(x) = [tex]\sqrt{(-x)}[/tex]
Given function 'f' when reflected across the y--axis,
Translated form of the parent function will be,
g(x) = [tex]\sqrt{(-x)}[/tex]
Table for the input-output values for this function will be,
x g(x)
-1 1
0 0
1 undefined
4 undefined
Table shows that the given function is undefined for x > 0
Domain of g(x) will be (-∞, 0],
Therefore, graph having values of x ≤ 0 will be the answer.
Answer:
I think its D on edge!
Step-by-step explanation:
Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.
Answer:the answer A( kiloliters to liters)
Answer:
Millimeter to Meter
Step-by-step explanation:
WHAT IS THE TRUE SIMILARITY STATEMENT
Answer:
Option 2
Step-by-step explanation:
ΔPQR - ΔSTR
Because
∠S ≅ ∠P
∠T ≅ ∠Q
∠R ≅ ∠R
I hope this helps you
g(x) = x2 + 2x - x - 2
Hope this image helps you :)
Find the area of the shaded triangle.
Answer:
7.5
Step-by-step explanation:
The area of a triangle is found by the formula A=1/2bh, where b is the base length, and h is the height. If we count the squares, we can find that the base length of the triangle is 3 units, and the height is 5 units. If we plug those numbers into the equation to get A=1/2*3*5, we can solve to get A=7.5
The volume of a cone with a height of 6 cm is 8 pi cubic centimeters. Which expression can be used to find r, the radius of the base of the cone? 6 = one-third pi (r squared) (8 pi) 8 pi = one-third pi (r) (6 squared) 6 = one-third (pi r)(8 pi) 8 pi = one-third pi (r squared) (6)
Answer:
last option is correct
Step-by-step explanation:
Mathematically, we can write the volume of a cone as;
V = 1/3 * pi * r^2 * h
From the question, V is 8 pi cm^3 while h is 6cm
Thus, substituting these values into the equation, we have;
8pi = 1/3 * pi * r^2 * 6
The last option is the correct answer that tallies with the above
Answer:
8 pi = one-third pi (r squared) (6)
its d
Step-by-step explanation:
The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 390 people entered the park, and the admission fees collected totaled $10650. How many children and how many adults were admitted? NUMBER OF CHILDREN= ? NUMBER OF ADULTS= ?
Answer:
Children = 200
Adults = 190
Step-by-step explanation:
Children = x
Adults = y
x + y = 390
x = 390 - y..............(1)
20x + 35y = 10650
Substituting
20(390-y) + 35y = 10650
y = 190
x = 390 - 190 = 200
Answer:
Step-by-step explanation:
Number of children = c
Number of adults = a
Total people = 390
a + c = 390 ------------------ (I)
Admission fee for 'c' children = 20 * c = 20c
Admission fee for 'a' adult = 35 * a = 35a
Total amount = $ 10650
35a + 20c = 10650 -------------(II)
Multiply equation (I) by (-20)
(I)*(-20) -20a - 20c = - 7800
(II) 35a + 20c = 10650 { Now add and so 'c' will be eliminated}
15a = 2850
a = 2850/15
a = 190
Plug in a = 190 in equation (I)
190 + c = 390
c = 390 - 190
c = 200
Number of children = 200
Number of adults = 190
Explain the significance of the equation 100x -2y+ 400 = 0 which represents the hourly cost of a car repair.
Answer: The significance is that it is how much you will pay for the total repair which will help you know how much money you will spend.
Step-by-step explanation: