A car is moving along Highway 138 according to the given equation, where x meters is the directed distance of the car from a given point P at t hours. Find the values of t for which the acceleration is zero, and then find the position of the car at this time.
x = 1/4t^3 + 1/6t^3 - t^2+ 1
Answer:
1111¹5&-78+&%%567;!9098888
convert -√3-i to polar form
Answer:
r
sin
θ
=
−
3
Step-by-step explanation:
,
Answer:
2cis (7pi/6)
Step-by-step explanation:
Which number has only two factors?
A: 6
B: 8
C: 9
D: 11
Answer:
D) 11 cause it is only found form multiplying 1 and 11
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at? Include the steps you used to solve the problem and your answer
Answer:
3%
Step-by-step explanation:
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at?
This is a simple interest question
The formula to find the rate is given as:
Equation:
r = (1/t)(A/P - 1)
t = time = 4 years
P = Principal = $12500
I = Simple Interest = $1500
A = Total Amount = Principal + Simple Interest = $12500 + $1500
= $14000
Calculation:
Solving our equation:
r = (1/4)((14000/12500) - 1) = 0.03
r = 0.03
Converting r decimal to R a percentage
R = 0.03 * 100 = 3%/year
Just solve Ex: 16, 17, 19, 20 please! I don't know them
Answer:
The order of arithmetic calculations is
B - Bracket
O - off
D - Division
M - Multiplication
A - Addition
S - Subtraction
Use this to solve
How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?
Answer:
1200 ounces
Step-by-step explanation:
How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?
Let us represent
Number of ounce of 10% copper = x
Hence, our Equation =
x × 10% + 600 × 70% = (x + 600) × 30%
0.1x + 420 = (x + 600)0.3
0.1x + 420 = 0.3x + 180
Collect like terms
0.3x - 0.1x = 420 - 180
0.2x = 240
x = 240/0.2
x = 1200 ounces
Ive worked out a bit, i just need help finishing it off. Will reward
Answer:
nxkankankxnalmzlamzlamzo
Answer:
width = 40 cm
Step-by-step explanation:
Since the pentagons are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{4x}{x}[/tex] = [tex]\frac{48}{x+2}[/tex] ( cross- multiply )
4x(x + 2) = 48x ← distribute left side
4x² + 8x = 48x ( subtract 48x from both sides )
4x² - 40x = 0 ← factor out 4x from each term on left side
4x(x - 10) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 10 = 0 ⇒ x = 10
However, x > 0 then x = 10
Thus width = 4x = 4 × 10 = 40 cm
Which compound inequality is represented by the graph?
(A.) -2
(B.) -2_
(C.) x<-2 or x_>4
(D.) x_<-2 or x>4
Answer: Choice C
[tex]x < -2 \ \text{ or } \ x \ge 4[/tex]
========================================================
Explanation:
The blue portion on the left is represented by [tex]x < -2[/tex] as it describes values smaller than -2. Notice the open hole at -2 which indicates we do not include this value. So that's why we go with [tex]x < -2[/tex] instead of [tex]x \le -2[/tex]
The blue portion on the right is represented as [tex]x \ge 4[/tex] describing values that are equal to 4, or larger than 4.
So overall, the entire graph visually represents x values such that [tex]x < -2 \ \text{ or } \ x \ge 4[/tex]
Side note: the "or" means we pick one region or the other, but not both regions at the same time.
Answer:
C
Step-by-step explanation:
Mary and Will rent a tandem bike for $10/hr. Which value is the
dependent variable? Which is the independent variable? Write an
equation to represent the relationship between the number of
hours, h, and the total cost, c.
Answer:
Step-by-step explanation:
c = 10h
h is the independent variable.
c is the dependent variable.
4(v+7) = -6(3v-4) +8v
Answer:
v=−27
Step-by-step explanation:
Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.
−6(3v−4)+8v=4(v+7)
Simplify −6(3v−4)+8v
−10v+24=4(v+7)
Simplify 4(v+7).
−10v+24=4v+28
Move all terms containing v to the left side of the equation.
−14v+24=28
Move all terms not containing v to the right side of the equation.
−14v=4
Divide each term by −14 and simplify.
v=−27
The result can be shown in multiple forms.
Exact Form:
v=−27
help plssssssssssssssss
Answer:
i think Cfollow meplease
Answer:
it is option B hope it help
your day will full of happiness
Help!!!!!! Math problems
Answer:
(-3,-1)
Step-by-step explanation:
pls giv brainliest
Answer:
(-3, -1)
Step-by-step explanation:
Vertex
__________
The vertex is the highest or lowest point within a parabola. When you look at the point, you can see where it is exactly at.
A cup of Kool-Aid has a mass of 700 grams. The cup by itself has a mass of 80 grams. If the cup has a diameter and a height of 8 cm, what is the density of the Kool-Aid?
Sara's office recycled a total of 12 pounds of paper over 4 weeks. How many weeks will it take Sara's office to recycle a total of 48 pounds of paper?
Answer:
16
Step-by-step explanation:
12 pounds: 4 weeks
48 pounds: 16 weeks
solve this problem as a fraction in the lowest terms
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex] is the answer
Step-by-step explanation:
you have to evaluate [tex](7-3)^{-2}[/tex] and the answer comes up to [tex]\frac{1}{16}[/tex]
HELP! WILL GIVE 100 POINTS
Complete the following statement.
In 5/6 ÷ 4/5 the___is 4/5
divided
divisor
quotient
.
Answer:
divisor
Step-by-step explanation:
In 5/6 ÷ 4/5 the divisor is 4/5
PLS HELP ME ON THIS PLSSSS
Answer:
Step-by-step explanation:
Loris has one of each of the following colours of felt-tip pen in her pencil case:
red (R) blue (B) yellow (Y) green (G) purple (P)
She pulls out two random pens.
How many different combinations of pairs of colours are there?
there are 10 different combinations of pairs of colors.
What is the combination?Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.
Given, Loris has one of each of the following colors of felt-tip pen in her pencil case: red (R) blue (B) yellow (Y) green (G) purple (P) She pulls out two random pens.
from the formula of combination;
total combination ⁿCₓ = [tex]\frac{n!}{(n-r)! * r!}[/tex]
Where, n = total numbers
r = desired number out of total
In our case
n = 5 and r = 2
Thus, the Total combination = ⁵C₂
Total combination = 5! / (3! *2!)
total combination = 5 *4 /2 = 10
therefore, There are ten distinct ways to pair the colors together.
learn more about combination here:
https://brainly.com/question/13387529
#SPJ2
A cyclist averages 11 miles per hour. How many miles does the cyclist ride in 4.5 hours?
HELP MEEE PLEASE
Gilligan sees a ship coming close to the shore he's standing on. He wants to
determine the distance (SD) from the ship to the shore. He walks 130 ft along the
shore from point D to point C and marks that spot. Then he walks 23 ft further and
marks point B. He turns 90 and walks until his location (point A), point C, and point
S are collinear.
o
Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why
not?
(b) Suppose AB = 90 ft. What can Gilligan conclude about the distance of the ship
from the shore? Explain.
The triangles ABC and SDC are similar triangles
Gilligan can conclude that triangles ABC and SDC are similarGilligan can conclude that the distance of the ship from the shore is 509 ftHow to determine if the triangles are similarFrom the question, we understand points S, C and A are collinear, while line AB and SD are vertical and parallel lines at the either sides of point C.
Hence, Gilligan can conclude that triangles ABC and SDC are similar
How to calculate the distance SD
To do this, we make use of the following equivalent ratio
[tex]SD : 130 = AB : 23[/tex]
Substitute 90 for AB
[tex]SD : 130 =90 : 23[/tex]
Express as fraction
[tex]\frac{SD}{130} =\frac{90}{ 23}[/tex]
Make SD the subject
[tex]SD =\frac{90}{ 23} * 130[/tex]
[tex]SD =509[/tex]
Hence, Gilligan can conclude that the distance of the ship from the shore is 509 ft
Read more about similar triangles at:
https://brainly.com/question/14285697
I need help lol please
Answer:
Step-by-step explanation:
if we need to combine the like terms
-4p+(-6p)=-4p-6p=-10p
choice b
If x^2 + y^2 = 10 and xy = -3, what is the value
of (x - y)^2?
A) 12
B) 16
C) 20
D) 25
Answer:
Step-by-step explanation:
[tex]xy=-3,\ x=-\frac{3}{y}\\ \\ x^2+y^2=10\\ \\ \frac{9}{x^2}+x^2=10\\ \\ x^4+9=10x^2\\ \\ x^4-10x^2+9=0\\ \\ (x^2-1)(x^2-9)=0\\ \\ (x-1)(x+1)(x-3)(x+3)=0\\ \\ x=-3,-1,1,-3\ y=1,3,-3,-1\\ \\ (x-y)^2\\ \\ (-3-1)^2=(-4)^2=16[/tex]
Identify the vertex and
the axis of symmetry of the parabola. Identify points corresponding to P and Q.
PLS HELP TAKIN TEST RN MARKING BRANLIST
okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk what the queston again lol I forgt
malik buys and sells car parts. he bought two tires for 45.00$
Answer: $213
Step-by-step explanation: I got this question on Algebra Nation
can anyone help pls rlly ez
Answer:
b and c
Step-by-step explanation:
the answer is b and c
6) Walmart and Target are having deals on Barbie dolls. Walmart is selling 8 dolls for $120 and Target is selling 6 dolls for $102. Which store has the better deals on Barbie dolls? Explain how you know
Answer:
Walmart has the better deal
Step-by-step explanation:
If you do $120/8 dolls you get $15 for each doll at Walmart. If you do $102/6 dolls you get $17 for each doll. You know $15 is less than $17 making it cheaper and a better deal. Target's dolls are $2 more than Walmart. $17-$15=$2
Find the value of √14/6
Answer:
0.62360956 is the answer to this question.
A scale drawing of an office space uses a scale of 1 in : 5 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space
Answer:
60 Yards.
Step-by-step explanation:
Ooooooooo Proportion question!
We can write an equivalent fraction here:
[tex]\frac{1}{5} =\frac{12}{x}[/tex]
Because 12 wold be equivalent to the 1 inches.
We can multiply by 12 because 1*12 would be 12.
5*12=60.
x=60, which is the answer.
This year I caught 30 fish, which is 6 more than twice the number I caught last year. How many did I catch last year
WILL GIVE BRAINLIEST
bxvy - xvyb
if b=-2
x= 1
y= -1
v= 3
simplify and substitute
Answer:
Step-by-step explanation:
(-2)(1)(3)(-1) - (1)(3)(-1)(-2)
6 - 6 = 0
Answer:
0
Step-by-step explanation:
(-2)(1)(3)(-1) - (1)(3)(-1)(-2)
6 - 6 = 0