Amr sells 6 pounds of turkey for $ 48.75. What is the unit price ?
Answer:
the unit price would be 8.125
Step-by-step explanation:
please help me with this
Answer the following for the given figure.
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If AC = x + 6, and AB = 15 solve for x.
I NEED THIS QUICK! What is the volume of the rectangular prism?
Answer:
30 3/8
Step-by-step explanation:
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)
Answer:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Step-by-step explanation:
Given
[tex]x=t[/tex]
[tex]y=e^{-t}[/tex]
[tex]z=2t-t^2[/tex]
(0, 1, 0)
The vector equation is given as:
[tex]r(t) = (x,y,z)[/tex]
Substitute values for x, y and z
[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]
Differentiate:
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
The parametric value that corresponds to (0, 1, 0) is:
[tex]t = 0[/tex]
Substitute 0 for t in r'(t)
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2)[/tex]
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
[tex]r(t) = a + tv[/tex]
Such that:
[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]
The equation becomes:
[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]
[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]
[tex]r(t) = (0+t,1-t,0+2t)[/tex]
[tex]r(t) = (t,1-t,2t)[/tex]
By comparison:
[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]
The parametric equations for the tangent line are:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
A colony of 500 bacteria doubles in size every 200 hours. What will the population be 400 hours from now?
Answer:
1000
Step-by-step explanation
200+200=400
so
500+500=1000
In the last year, U.S. car sales of all makes and models have dropped by 16%. Let's say that a car dealer sells 325 cars. If this number drops by 16%, how many cars will the dealer sell then? Round to the nearest whole number.
A 203 cars
B 309 cars
C 273 cars
D 256 cars
Answer:
c. 273 cars
Step-by-step explanation:
First you need to find what 16% of 325 is
325x.16=52
because the number sold dropped by 16% you will subtract 52 from 325
325-52=273
you can also calculate the answer by subtracting 100% by 16%
100%-16%=84%
now you can calculate 84% of 325
325x.84=273
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Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5^x)
x f(x)= 2.5x - 10.5 g(x) = 64(0.5^x)
2
3
4
5
6
Answer in table format, picture below
Answer:
x = -0.35
Step-by-step explanation:
tep 1 - Multiply 64 and 0.5x. The answer ends up being 32x
Step 2 - You need to get all of the variables on one side and the regular numbers on the other side. To do that, you need to subtract 2.5x from each side so you are left with the equation -10.5 = 29.5x
Step 3 - The final step is to isolate the variable. To do this, you divide each side by 29.5 meaning that x = -0.35
8) If 15 balls cost Rs 225 then the cost of 8 balls is
Answer:
The cost of 8 balls is Rs $ 120.
Step-by-step explanation:
Given that 15 balls cost Rs $ 225, to determine the cost of 8 balls it is necessary to perform the following mathematical calculation:
(225/15) x 8 = X
15 x 8 = X
120 = X
Thus, the cost of 8 balls is Rs $ 120.
Which equation is correct?
75 × 4 = 70 + 5 × 4
75 × 4 = 70 × 4 + 5 × 4
75 × 4 = 700 × 4 + 5 × 4
75 × 4 = 70 × 4 + 5
What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10
Answer:
x - 2 and x + 5
Step-by-step explanation:
Given Area Of rectangle
= x² + 3x - 10
= x² + ( 5 - 2)x - 10
=x² + 5x - 2x - 10
= x ( x + 5 ) - 2 ( x + 5 )
= ( x + 5 ) ( x - 2 )
Hope it will help :)❤
Answer:
B. x-2 and x+5
Step-by-step explanation:
Write an equation to show how to find the total length, in meters, of the 8 pieces of wood.
Answer:
256
Step-by-step explanation:
8↑2 + 8↑2 +8↑2+8↑2+8↑2+8↑2+8↑2+8↑2
8x2x2=32 8x2=16x2=3232x8= 256 +1 32 x 8______ 2 5 62x8=16 **then add the +1 to the 3**3x8=24What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units
Answer:
B) 68 units^2
Step-by-step explanation:
8 x 17 x 0.5 = 68 units^2
At the beginning of spring, Elijah planted a small sunflower in his backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 7 weeks? How tall would the sunflower be after w weeks?
Answer:32
Step-by-step explanation:25+ 1(7)
What is the value of n when n = 2 ?
Answer:
2
Step-by-step explanation:
Is there an expression you need to solve?
n = 2 so the value would be 2
if the store has a sale and all sofas are marked down 45% off . What would be the price of a sofa that was $950.
Answer:
$522.50
Step-by-step explanation:
To find the price, multiply 950 by 0.55
950(0.55)
= 522.5
So, the sale price will be $522.50
the length of a rectangle is 4 units more than it's width.The area of a rectangle is 25 more than 4 times the width.What is the width of the rectangle
Answer:
solution,
let width of the rectangle be x then,
length(l)=4x
Area(A)=25l
now,
area of rectangle = 4x×x
25×(4x)= 4x square 100x= 4xsquarex=25 unitsStep-by-step explanation:
in 2nd step one x cancel another in opposite side of =
Find the equation of a line that passes through the point (-2,4) and has a gradient of -3.
Leave your answer in the form
y
=
m
x
+
c
Equation of a line is y = mx +c
m is the gradient, which is given as -3 so now you have:
y = -3x + c
Replace y and x with the given point and solve for c:
4 = -3(-2) + c
Simplify:
4 = 6 + c
Subtract 6 from both sides:
c = -2
The equation becomes:
y = -3x-2
13x² -7x -8 how to solve this
Answer:
132x-8
Step-by-step explanation:
I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.
It's a simplification I don't know if you needed that.
Which ones are correct?
Answer:
120 x 10^3
7 x 10^5
9 x 10^4
Step-by-step explanation:
8 inches is which fraction of 1 yard?
Answer:
8/36 yard or 2/9
Step-by-step explanation:
nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número
Please answer this I really need it pleaseeeeeeeeeeee
Answer:
WL = DC
Step-by-step explanation:
if you move the triangles to connect to eachother it would show that they are equal.
Hi i need help with this please?!??!!
Answer:
May be your answer is option 3
A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?
Answer:
24.1cm
Step-by-step explanation:
There are 6 cabbages and 8 carrots in a bag. How many carrots need to be added to make the ratio of
cabbages to carrots 1:3?
Answer:
10 carrots
Step-by-step explanation:
So we have 6:8 which is 3:4, meaning that something needs to be changed
Solve for x assuming that we have 6 cabbages
1/3=6/x
x=18
Now we have 6:18, which is 1:3 simplified
There are already 8 carrots so subtract 8
18-8=10
1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?
Answer:
450
Step-by-step explanation:
60 x 7.5=450
A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88
Answer:
135.87
Step-by-step explanation:
7% of 126.99 is 8.8893
add 126.99 to 8.8893
you get ~135.87
Answer:
8.89
Step-by-step explanation:
Take the cost of the item times the tax rate to find the amount of tax
126.99 * 7%
Change to decimal form
126.99 * .07
8.8893
Round to the nearest cent
8.89