Answer:
42
Step-by-step explanation:
ABC + CBD = ABD
3x+33 + 5x+13 = 70
Combine like terms
8x +46 = 70
Subtract 46 from each side
8x+46-46 = 70-46
8x = 24
Divide each side by 8
8x/8 = 24/8
x=3
We want to find ABC
ABC = 3x+33 = 3*3 +33 = 9+33 = 42
Answer:
D. if a number has factors other than one and itself, then it is not a prime number
<u>Answer: </u>
Makya was conducting a physics experiment. At 15th second, distance rolled will be 29 feet.
<u>Solution:
</u>
Given that Makya is conducting physics experiments.
He rolled a ball down a ramp and calculated the distance covered by the ball at different time.
Ball rolled a distance of 1 foot during first second.
Ball rolled a distance of 3 feet during second second.
Given that distance rolled with the time formed an arithmetic sequence.
![\text { Which means } a_{1}=1, a_{2}=3 \ldots \ldots](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Which%20means%20%7D%20a_%7B1%7D%3D1%2C%20a_%7B2%7D%3D3%20%5Cldots%20%5Cldots)
We need to calculate distance rolled at 15th second that is 15th term of Arithmetic sequence when,
![\mathrm{a}_{1}=1, \mathrm{a}_{2}=3 \text { and common difference } \mathrm{d}=\mathrm{a}_{2}-\mathrm{a}_{1}=3-1=2](https://tex.z-dn.net/?f=%5Cmathrm%7Ba%7D_%7B1%7D%3D1%2C%20%5Cmathrm%7Ba%7D_%7B2%7D%3D3%20%5Ctext%20%7B%20and%20common%20difference%20%7D%20%5Cmathrm%7Bd%7D%3D%5Cmathrm%7Ba%7D_%7B2%7D-%5Cmathrm%7Ba%7D_%7B1%7D%3D3-1%3D2)
![\text { Formula of } \mathrm{n}^{\text {th }} \text { term is } \mathrm{a}_{\mathrm{n}}=\mathrm{a}_{1}+(\mathrm{n}-1) \mathrm{d}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Formula%20of%20%7D%20%5Cmathrm%7Bn%7D%5E%7B%5Ctext%20%7Bth%20%7D%7D%20%5Ctext%20%7B%20term%20is%20%7D%20%5Cmathrm%7Ba%7D_%7B%5Cmathrm%7Bn%7D%7D%3D%5Cmathrm%7Ba%7D_%7B1%7D%2B%28%5Cmathrm%7Bn%7D-1%29%20%5Cmathrm%7Bd%7D)
![\text { So when } \mathrm{n}=15, \mathrm{a}_{15}=1+(15-1) 2=1+14 \times 2=29](https://tex.z-dn.net/?f=%5Ctext%20%7B%20So%20when%20%7D%20%5Cmathrm%7Bn%7D%3D15%2C%20%5Cmathrm%7Ba%7D_%7B15%7D%3D1%2B%2815-1%29%202%3D1%2B14%20%5Ctimes%202%3D29)
Hence at 15th second, distance rolled will be 29 feet.
Answer:
The 1st graph
Step-by-step explanation:
The quickest and easiest way is to just graph y < x² + 4x + 5. When you do so you should be able to see your answer.
It would be 10 bc u times both by two