Answer: -2.25
Step-by-step explanation:
We plug in the numbers.
[tex]\frac{3xy}{2z}\\= \frac{3(2)(-3)}{2(4)}\\= \frac{-18}{8}\\= -2.25[/tex]
The sun of the first 3 terms of an arithmetic sequence is 21 while their product is 315 determine these three terms?
Answer:
The terms of the sequence are x=5 and a=2:
[tex] x + (x + a) + (x + 2a) = 21 [/tex] → [tex] 5 + (5 + 2) + (5 +2*2) = 21 [/tex]
[tex] x*(x + a)*(x + 2a) = 315 [/tex] → [tex] 5*(5 + 2)*(5 + 2*2) = 315 [/tex]
Step-by-step explanation:
We can find the terms of the following sequence:
[tex] x + (x + a) + (x + 2a) = 21 [/tex]
[tex] 3x + 3a = 21 [/tex]
[tex] x + a = 7 [/tex] (1)
The product of that sequence is:
[tex] x*(x + a)*(x + 2a) = 315 [/tex] (2)
Solving equation (1) for x:
[tex] x = 7 - a [/tex] (3)
And by entering (3) into (2):
[tex] (7 - a)*(7 - a + a)*(7 - a + 2a) = 315 [/tex]
[tex] 7*(7^{2} - a^{2}) = 315 [/tex]
[tex] 343 - 7a^{2} = 315 [/tex]
[tex] a = 2 [/tex]
Now, by entering "a" into equation (3):
[tex] x = 7 - 2 = 5 [/tex]
Therefore, the terms of the sequence are x=5 and a=2.
I hope it helps you!
The minute hand of a clock moves from 12:10 to 12:30 a. How many degrees does the minute hand move during this time? b.How many radians does it move during this time?
Answer:
a. 120 degrees
b. 2.0944 radians
Step-by-step explanation:
From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math
20 / 5min = 4 times
4 * 30 degrees = 120 degrees
We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula
degrees * [tex]\pi /180[/tex] = radians
120 * [tex]\pi / 180[/tex] = radians
2.0944 = radians
Which is the correct spelling of trigonometry
Answer:
trigonometry
Step-by-step explanation:
hope this helps lovely
Answer:
trigonometry
Step-by-step explanation:
Have a great day!
Find the value of x. The figures are not drawn to scale. Pis the center of the circle.
Answer:
6.7 feet i think...
Step-by-step explanation:
the middle line is 12 feet and the dot is about in the middle of the line
Answer:
6.7
Step-by-step explanation:
if you look very closely you can see the other explanation above mine
You're Welcome!
If f (x ) = 3x , what is f (-2) and f (2)?
Answer:
b. -6 and 6
Step-by-step explanation:
Answer:
B. -6 and 6.
Step-by-step explanation:
It's shown that -2 and 2 are the inputs on this particular equation. That means they are the x values they want you to find the corresponding y value for. So, you can solve these by just plugging in the numbers. So, replace x in the original equation with -2 and 2 and then evaluate. [tex]f(x)=3 *-2=-6[/tex] and [tex]f(x) = 3*2=6[/tex]. Good luck!
An aquarium has 14 angel fish, 12 clownfish and
18 seahorses. What is the ratio of angelfish to
seahorses?
Answer:
Ratio= 7:9
Step-by-step explanation:
What is the ratio of angelfish to seahorses?
14 angel fish : 18 seahorses
14:18 = 7:9
There are _______ kilometers in 5,000 centimeters.
My lizard Isabella is 4 2/6 inches long. My lizard Kendall is 2 times as long. How long is my lizard Kendall?
8 4/12
8
8 2/6
8 4/6
Combine the like terms to create an equivalent expression: − 3 k − ( − 8 ) + 2
Answer:
-3k + 10
Step-by-step explanation:
-3k-(-8)+2 = -3k + 8 + 2 = -3k +10
Answer:
-3k + 10
Step-by-step explanation:
-3k + 8 + 2 =
-3k + 10
Hope that helps!
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.
Answer:
24
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices
There are different types of triangles. They include :
Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equalArea of a triangle = 1/2 x ( base x height)
1/2 x (6 x 8) = 24 ft²
Jim borrows $210 from his sister at an 8% interest for seven years. How much interest does Jim have to pay?
Answer:
$117.6
Step-by-step explanation:
Formula:
I = Prt
Given:
P = 210
r = 8% = 0.08
t = 7
Work:
I = Prt
I = (210)(0.08)(7)
I = 117.6
Answer:
Step-by-step explanation:
So with 8% interest, Jim will have to pay 8% more each year. For the first year we need to multiply 210 with 1.08 to find the amount that Jim would have had to pay to his sister if he had gotten an 8% interest for 1 year. Every time the year increases we need to multiply the previous number with 1.08 because we are looking for the 8% increased value of the previous one, therefore our equation is:
P(t) = 210*(1.08)^t --> (t=time in years, P(t)=amount of money Jim need to pay back with respect to time)
Since Jim gets an 8% interest for 7 years we have to put in 7 for t.
P(7)=210*(1.08)^7
which is approximately $359.903
What is the answer to g(-9)
Answer:
-9g
Step-by-step explanation:
Move -9 to the left of g
I think this is right, sorry if it is wrong, have a great day
If the sum of the squares of the legs of a right triangle are = to 144, the hypotenuse is...
Answer: 12
Step-by-step explanation:
H^2=144
Square root of 144
H=12
PLEASE HELP ASAP
What is the value of x in the figure?
Use the distributive property to expand (simplify): 13(9 + g)
13g+117
Step-by-step explanation:
just distribute the 13 to each value in the parentheses
2X+3X+50=180
X=WHAT
PLEASE HELP ASAP
Answer:
X=26
Step-by-step explanation:
Answer:
X=26
Step-by-step explanation:
hope this helps
One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?
F.
A box of 32 shirts will have 12 defective shirts.
G.
A box of 40 shirts will have 10 defective shirts.
H.
A box of 48 shirts will have 3 defective shirts.
J.
A box of 64 shirts will have 8 defective shirts.
Answer:
the answer is H.
Step-by-step explanation:
I have a test tmrw pls help
So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:
y-6=2.5(x-3)
y-6=2.5x-7.5
-2.5x+y=1.5
Help me pls asp I will give 100 points
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^{2} h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^{2} h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16cm^3[/tex]
At the grocery store, 4 pints of ice cream cost $7.32. How much would 20 pints of ice cream cost?
Answer:
$36.6 for 20 pints of ice cream
Step-by-step explanation:
4 pints = $7.32.
20 pints = ?
you need to cross multiply or you can just multiply $7.32. with 5.
A frying pan has a radius of 14 cm. What is the circumference of the pan?
Answer:
119.381cm
Step-by-step explanation:
C=2πr
2π * 14cm = 38πcm or 119.381cm
What is the volume of a sphere with a radius of 6.1 m, rounded to the nearest tenth of a cubic meter?
Answer:
V≈950.78m³
Step-by-step explanation:
PLEASE ANSWER
Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?
7 hours and 35 minutes
5 hours and 35 minutes
6 hours and 25 minutes
6 hours and 55 minutes
Answer:
6 hours and 25 minutes
Step-by-step explanation:
10:15 to 4:40 = 6 hours and 25 minutes
A(5,1)B(x,7) C(8,2) are three points such that AB=2AC find all values of x
The expression (3 + 6i) + (5 - 10i) simplified is
Answer:
The answer is 8 - 4i
you collect the like terms
evaluate this expression for a=3
hey its mathematics please and thank you
Use the GCF to factor:
16h + 24m
Answer:
8(2h +3m)
Step-by-step explanation:
Greatest common factor is 8
8(2h +3m)
⚠️THIS IS DUE TODAY⚠️ USE DISTRIBUTIVE PROPERTY
Answer:
4x + 8
-45 - 5x
7x - 21
Step-by-step explanation:
For the first one
4(x + 2)
for distributive property you multiply the number or symbol next to the outside of the parenthesis, by everything inside the parenthesis.
4(x+2)
4*x = 4x
4*2 = 8
So, this is 4x + 8
-5(9+x)
-5*9= -45
-5*x=-5x
So, this is -45 - 5x
7(x-3)
7*x= 7x
7*-3= -21
This will be 7x - 21
Hope this helps!!
-Ketifa
Oel visits a department store to pick a pack of salted mixed nuts. A pack of 15 oz. Is priced at $7.50 and the offer on a pack containing 25 oz. Is $11.75. Which pack is the better buy