What number comes next 3 4 6 9 13 18 24

Answers

Answer 1

Answer: 31 - as the difference (starting from 1) increases by 1

so:

3,+1=4,+2=6,+3=9,+4=13,+5=18,+6=24,+7=31,

Answer 2

Answer: 31.

3+1=4
4+2=6
6+3=9
9+4=13
13+5=18
18+6=24
24+7=31

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Mealworms are a healthy food for wild song birds. Adam buys a 3 oz container of mealworms for $7.35. Marco buys a 5 oz container for $13.50. Which container is the better deal? (Compare the unit rates or cost per 1 oz)

Answers

Answer: 5 oz

Step-by-step explanation:

you get more and for the price of 7.35 it’s not worth only getting three oz

Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π?

Answers

recall that to get the x-intercepts, we set the f(x) = y = 0, thus

$\bf \stackrel{f(x)}{0}=-4cos\left(x-(\pi )/(2) \right)\implies 0=cos\left(x-(\pi )/(2) \right)\n\n\ncos^(-1)(0)=cos^(-1)\left[ cos\left(x-(\pi )/(2) \right) \right]\implies cos^(-1)(0)=x-\cfrac{\pi }{2}\n\n\nx-\cfrac{\pi }{2}=\begin{cases}(\pi )/(2)\n\n(3\pi )/(2)\end{cases}$

$\bf -------------------------------\n\nx-\cfrac{\pi }{2}=\cfrac{\pi }{2}\implies x=\cfrac{\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{2\pi }{2}\implies \boxed{x=\pi }\n\n-------------------------------\n\nx-\cfrac{\pi }{2}=\cfrac{3\pi }{2}\implies x=\cfrac{3\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{4\pi }{2}\implies \boxed{x=2\pi }$

Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.19 cm and a height of 6 cm. Each solid block will have a volume of 360 cm3. How many cylinders of gold will it take to mold one block of gold?

Answers

so volume of a cylinder=area of top circle times height or
pi times radius^2 times height
diameter=2 times radius
diameter times 1/2=radius
6.19/2=radius=3.095
pi times 3.095^2 times 6=177.077
so volume of cylinder=177.08
volume of gold=360
so
x cylinders=1 solid block
diviide both sdies by cylinder
x=block/cylinder
block=360
cylinder=177.08
360/177.08=2.03
so aprox 2.03 cylinders will make one block
round down since 0.03 is nigligible
the answer is 2

Hi friends!!who gives the answer is the best!!!!

A car covers a distance 50km in 2.2 hrs what is the average distance cover it in 1 hour?

Answers

Answer:

22.73 km.

Step-by-step explanation:

To find the average distance covered by the car in 1 hour, we can use the concept of speed or velocity.

Speed is defined as the distance traveled divided by the time taken. In this case, the car covers a distance of 50 km in 2.2 hours.

To find the average speed of the car, we divide the total distance by the total time:

Average speed = Total distance / Total time

Average speed = 50 km / 2.2 hours

Simplifying this calculation, we find that the average speed of the car is approximately 22.73 km/h.

Since speed is defined as the distance covered per unit of time, we can conclude that the car covers an average distance of 22.73 km in 1 hour.

Therefore, the average distance covered by the car in 1 hour is approximately 22.73 km.

toothbrush 95g toiletries 1.4kg shoes 3 1/8 kg beach towel 0.6kg clothes 8580g what's the total weight

Answers

toothbrush = 95g
toiletries = 1.4kg
shoes = 3 1/8 kg
beach towel = 0.6 kg
clothes = 8580 g

2 units are present, grams and kilograms, we need to convert one of these units into the other.

since majority of the items are in kg, we convert the g to kg.

1 kg = 1000 g

toothbrush: 95g * 1kg/1000g = 95kg/1000 = 0.095 kg
clothes: 8580g * 1kg/1000g = 8580kg/1000 = 8.58 kg
shoes 3 1/8 kg = 3.125kg

toothbrush: 0.095 kg
toiletries 1.400 kg
shoes 3.125 kg
beach towel 0.600 kg
clothes 8.580 kg
total weight 13.800 kg

Answer:

Step-by-step explanation:

Hi sorry for bathed the you do you no the answer please

SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION.

1. 2x+3y=1
-3x+y=15

Answers

$2x+3y=1 \n-3x+y=15 \n \n\hbox{from the 2nd equation:} \n-3x+y=15 \ny=15+3x \n \n\hbox{substitute 15+3x for y in the 1st equation:} \n2x+3(15+3x)=1 \n2x+45+9x=1 \n9x+2x=1-45 \n11x=-44 \nx=-4 \n \n\hbox{solve one of the equations for y}: \n2x+3y=1 \n2 \cdot (-4) + 3y=1 \n-8+3y=1 \n3y=1+8 \n3y=9 \ny=3 \n \n\hbox{the answer:} \nx=-4 \ny=3$

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