Answer:
Below.
Step-by-step explanation:
Letter P is drawn - Impossible because there is no paper with P on it.
Letter drawn is a consonant - Likely because there are 6 out of 8 letters which are consonants.
Letter drawn is a vowel - Unlikely because there are only 2 vowels out of 8 letters.
Letter drawn is one of the first ten letters in the alphabet - Equally likely as there is 4 of these out of a total of 8.
Letter is L - Unlikely as there is only 1 piece of paper with L on it.
The paper draw has one letter on it - Certain as there is a letter on all the pieces of paper.
Answer:
x = 2.3202
Step-by-step explanation:
Given equation:
on taking log both sides, we get
now,
using the property of log function
log(aᵇ) = b × log(a)
therefore,
we get
(3x-5)log(10) = xlog(7)
now,
log(10) = 1
and
log(7) = 0.84509
thus,
( 3x - 5 ) × 1 = 0.84509x
or
3x - 0.84509x - 5 = 0
or
2.15491x = 5
or
x = 2.3202
Hello!
Change each mixed number to an improper fraction to make it easier
2 3/8 = 19/8
5 3/4 = 23/4
Now, multiply
19/8 × 23/4 = 437/32 = 13 21/32
Answer ⇒ 13 21/32
Given two points A(x₁,y₁) and B(x₂,y₂) the distance betwen these points will be:
dist(A,B)=√[(x₂-x₁)²+(y₂-y₁)²].
We have these points: A(0,0) and B(6,3); its distance will be:
dist(A,B)=√[(6-0)²+(3-0)²]
=√(6²+3²)
=√(36+9)
=√45 ≈ 6.71
Answer: D. 6.71 units.
Answer:
See photo below
Add arrows to the two ends of the parabola.
Step-by-step explanation:
To sketch this quadratic function, we to connect three dots: the two roots and a vertex.
The given roots are -1 and 1.
Draw <u>two dots at the x-intercepts</u>, which are (-1, 0) and (1, 0).
Vertex dot: V (x, y)
The vertex x-coordinate always in the middle of the two roots. The middle of -1 and 1 is 0. That's the same as the y-axis.
V (0, y)
Since the function increases when x < 0, the parabola will <u>open up</u>.
We read from left to right. The greater numbers are towards the top of the page.
<u>You can put the vertex anywhere on the y-axis that is below the x-axis.</u>