Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars
Answer:
Aseem’s : 8.3, Stana’s : 11.6
Step-by-step explanation:
Aseem: x
Stana: 2x-5
X+2x-5=20
3x=25
X = 8.3
What is the inverse of the function f(x) = 169x2 when x > 0?
Answer:
y = (√x)/13 for x > 0
Step-by-step explanation:
Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation. The graph consists of the right-hand half of the parabola 169x^2. Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test. If x is restricted to (0, infinity), a horizontal line intersects this graph only once. Therefore, this function has an inverse.
1. Replace 'f(x)' with 'y:' y = 169x^2
2. Interchange x and y: x = 169y^2
3. Solve for y: y^2 = x/169, or y = (√x)/13 for x > 0
Need help !!!!!!!!!!!!!!!!! This is a shape that is required to be broken up into multiple parts to find the total volume.
What is the total volume of this shape?
What is the following difference?
2ab2/192an? -5 V81a4 b5
Answer:
C
Step-by-step explanation:
2ab * sqrt[3](192ab^2) - 5 * sqrt[3](81 a^4b^5) =
= 2ab * sqrt[3](4^3 * 3 * a * b^2) - 5 * sqrt[3](3^3 * 3 * a^3 * a * b^3 * b^2)
= 2ab * 4 sqrt[3](3 * a * b^2) - 5 * 3 * a * b * sqrt[3](3 * a * b^2)
= 8ab * sqrt[3](3 * a * b^2) - 15ab * sqrt[3](3 * a * b^2)
= -7ab * sqrt[3](3ab^2)
Answer: C
The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in
Answer:
B cause it same
Step-by-step explanation:
If am wrong correct me thanks
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually
Complete Question
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?
Answer:
[tex]N_{11} \approx 749[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Fast Food Restaurants [tex]P=200[/tex]
Number of years [tex]t=11yrs[/tex]
Rate [tex]r=12%[/tex]
Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by
[tex]N(t)=Pe^{rt}[/tex]
Therefore
For t=11
[tex]N_{11}=200*e^{0.12*11}[/tex]
[tex]N_{11}=748.7[/tex]
[tex]N_{11} \approx 749[/tex]
what is the value of x?
Answer:
6 sqrt(3) = x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 60 = x/12
12 sin 60 =x
12 ( sqrt(3)/2) =x
6 sqrt(3) = x
Answer:
x=6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
take 60 degree as reference angle
using sin rule
sin 60=opposite/hypotenuse
[tex]\sqrt{3[/tex]/2=x/12
do cross multiplication
2*x=12*[tex]\sqrt{3}[/tex]
x=12[tex]\sqrt{3}[/tex] /2
x=6[tex]\sqrt{3}[/tex]
please help me with this equation
Darcy harvests 8.3/4 acres of corn every 5/6 end fraction of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest per hour?
Given:
Darcy harvests [tex]8\dfrac{3}{4}[/tex] acres of corn every [tex]\dfrac{5}{6}[/tex] of an hour.
Darcy harvests corn at a constant rate.
To find:
How many acres does she harvest per hour?
Solution:
We have,
Acres harvest in [tex]\dfrac{5}{6}[/tex] of an hours = [tex]8\dfrac{3}{4}[/tex]
Acres harvest in 1 hour = [tex]8\dfrac{3}{4}\times \dfrac{6}{5}[/tex]
= [tex]\dfrac{32+3}{4}\times \dfrac{6}{5}[/tex]
= [tex]\dfrac{35}{4}\times \dfrac{6}{5}[/tex]
Cancel out the common factors, we get
Acres harvest in 1 hour = [tex]\dfrac{7}{2}\times \dfrac{3}{1}[/tex]
= [tex]\dfrac{21}{2}[/tex]
= [tex]10\dfrac{1}{2}[/tex]
Therefore, she can harvest [tex]10\dfrac{1}{2}[/tex] acres of corn per hour.
does anyone know the answer?
Answer:
x = 145
Step-by-step explanation:
The angles are same side exterior angle and same side exterior angles are supplementary
x +35 =180
Subtract 35 from each side
x = 180-35
x =145
Answer:
x=145
Step-by-step explanation:
180 -35 = 145
angle in a straight line add up to 180
x=145
F angle /corresponding angle are the same
Finding the volume of the sphere
Answer:
16
Step-by-step explanation:
correct me if im wrong
if iam right follow me heart this answer
carry on learning
yourhelpinghandishereforyou
Answer:
V≈2144.66058
Step-by-step explanation:
V=(4/3)(π)r^3
V=(4/3)(π)(8)^3
V≈2144.66058
An aquarium store recommends that the minimum size for a goldfish tank is 5.8 gallons plus an additional 0.6 gallon for each
fish that is added to the tank. Which expression represents the minimum number of gallons needed in a tank for x fish?
Answer: 5.8 +0.6x
Step-by-step explanation:
The isosceles triangle has a perimeter of 7.5 m.
Which equation can be used to find the value of x if the
shortest side, y, measures 2.1 m?
y
O 2x-2.1 = 7.5
O 4.2 + y = 7.5
X
O y-4.2 = 7.5
0 2.1 + 2 x = 7.5
Mart this and return
Save and Exit
Next
Submit
Answer:
Option d) 2.1 + 2x = 7.5
Step-by-step explanation:
An isosceles triangle is a triangle with two equal sides.
Perimeter of a triangle is some of all the 3 sides.
Let the equal sides be x
Let the third side be y
Therefore,
Perimeter = x + x + y
7.5 = 2x + y
7.5 = 2x + 2.1 [ given shortest side, y = 2.1m ]
Find the missing angle
Answer:
∅ ≈ 34º
Step-by-step explanation:
sin = opp/hyp
∅ = arcsin opp/hyp
∅ = arcsin 14/25
Use calculator
∅ = 34.055797742567906
∅ ≈ 34º
Answer:
is 55
Step-by-step explanation:
×[tex]\frac{x}{1}*\frac{14}{25}[/tex]⇒0.56
cos0.56
55
During a pancake making contest, Team A makes 8 more pancakes than team B. Team C made twice as many pancakes is team B. Together, the three teams made a total of 72 pancakes. How many pancakes did team A make?
Answer:
A = 24
Step-by-step explanation:
Use the problems provided info!
A = B+8
C = 2B
72 = B+8+2B+B
72-8 = 4B
6434 = 4B/4
16 = B
A = 24
B = 16
C = 32
Help me with this!!!
Answer:
4th answer
Step-by-step explanation:
g(h(x)) means to put the formula for h(x) into the formula for g( ).
[tex]g(h(x))=g(2x-2)=-3(2x-2)^3-2(2x-2)^2\\=-3(8x^3-24x^2+24x-8)-2(4x^2-8x+4)\\=-24x^3+72x^2-72x+24-8x^2+16x-8\\=-24x^3+64x^2-56x+16[/tex]
Cubing the binomial 2x - 2 can take some time!
Which statement is true?
Question 13 options:
A)
–|3| = 3 and |4| = 4
B)
|–3| = 3 and –|–4| = –4
C)
|–3| = 3 and –|4| = 4
D)
|–3| = 3 and |–4| = –4
Simply x+1/x^2+6x+5 step by step
Pls
Answer:
1 / (x+5)
Step-by-step explanation:
Factor the denominator
(x+1)/ (x+5)(x+1)
Cancel both (x+1)
=1/(x+5)
Identify the lines that are perpendicular: Line 1: y=4 Line 2: y=1/5x-5 Line 3:y=8 Line 4:y+5=-5(x+1)
How can you solve for X in the proportion of7/8 equals X/24
Answer and Step-by-step explanation:
The last answer choice is correct.
Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x
The process being used in the last answer choice is called Cross multiplication, and is used to find the unknown value in fractions.
[tex]\frac{7}{8}[/tex] × [tex]\frac{x}{24}[/tex]
7 × 24 = 8x
168 = 8x
21 = x
#teamtrees #PAW (Plant And Water)
Math help please help thanks
Answer:
62
Step-by-step explanation:
Draw a line from the bottom of the 4 foot line straight across (horizontally) until it hits the vertical line on your left.
The two lines (the one you drew and the left vertical line) meet at right angles.
The upper figure is a rectangle.
Area = L * W
L = 5
W = 4
Area = 5 * 4
Area = 20
Now the bottom rectangle can be found the same way.
Area = L * W
L = 14
W = 3
Area = 14 * 3
Area = 42
The total area = 42 + 20
Total area = 62.
The comment was correct.
What is the simple interest on $7430 invested for 3 years at 5% per annum simple interest?
Step-by-step explanation:
Simple interest=principal× time× rate/100
=7430×3×5/100
=1114.5
Answer:
114.5
Step-by-step explanation:
If h(2) = 5 – 722, what is h(-1)?
Answer:
Step-by-step explanation:
Math question, please help
==========================================================
Explanation:
Let's say that a = 25, b = 37 and c = 32 are the side lengths.
The uppercase letters A,B,C are opposite their lowercase counterparts.
That means angle A is opposite side a = 25
Apply the law of cosines to find angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
25^2 = 37^2 + 32^2 - 2*37*32*cos(A)
625 = 1369 + 1024 - 2368*cos(A)
625 = 2393 - 2368*cos(A)
625 - 2393 = -2368*cos(A)
-1768 = -2368*cos(A)
-2368*cos(A) = -1768
cos(A)= (-1768)/(-2368)
cos(A) = 0.746621621621622
A = arccos(0.746621621621622)
A = 41.7014263373247
A = 41.7
SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, and a phase shift to the left 1 unit.
y =
Answer:
y = 6·sin(3·(x - 1)) + c
Step-by-step explanation:
The general form of an equation for a sinusoidal function is presented ad follows;
y = a·sin(b·(x - h) + c
Where;
a = The amplitude of the equation
T = The period = 2·π/b
h = The phase shift
c = The vertical shift
From the question, we have;
a = 6,
2·π/3 = 2·π/b
∴ b = 3
h = 1
We get;
y = 6·sin(3·(x - 1)) + c.
Help, need index form
Refer to the attachment for complete calculation.
3²× 11^-9
Use a number line to find the difference. -2 - (-6)
Answer:
-2 + 6 = 4
Step-by-step explanation:
need some help...............
Answer:
I dont see the whole question
Step-by-step explanation:
Answer:
Remember the relation:
Distance = Speed*Time.
Then if we define:
y = distance
x = time
Speed = 50km/hr
Then we can write the relation between distance and time is:
y = (50km/hr)*x
This is the equation we need to graph.
To graph it, we can just find two points of that equation, and then draw a line that connects them:
For example if we have x = 0hr then:
y = (50km/hr)*0hr = 0km
then we have the point (0hr, 0km)
If now we use the point x = 1hr, then:
y = (50km/hr)*1hr = 50km
Then we also have the point (1hr, 50km)
Now we can draw these two points and connect them by a line, that line is the graph of the equation.
The graph of the equation can be seen below:
Subtract the
rational
7 - 12
Answer:
-5
Step-by-step explanation:
12-7=5
7-12=-5
If this helps please mark as brainliest
Arithmetic
7-12
Meaning, 12 less than 7.
7-12=-5
What is -33 + m = -29
Answer:
m = 4
Step-by-step explanation:
m = -29 + 33
Answer:
the answer is m=4
hope this helps
have a good day :)
Step-by-step explanation:
33+-29=4
