Jenna's husband, Rick, is concerned about his diet. On any given day, he eats 0, 1, 2, 3, or 4 servings of fruits and vegetables. The probabilities are given in the table below.
A 0.87
B 0.72
C 0.88
D 0.61
Answer:
A.0.87
Step-by-step explanation:
correct me if I'm wrong
For the interval between x = 2 and x =
5, which describes the function?
A
increasing and linear
B
decreasing and nonlinear
С
increasing and nonlinear
D
decreasing and linear
What are the potential solutions of log4x+log4(x+6)=2?
The potential solutions of [tex]log_4x+log_4(x+6)=2[/tex] are 2 and -8.
Properties of LogarithmsFrom the properties of logarithms, you can rewrite logarithmic expressions.
The main properties are:
Product Rule for Logarithms - [tex]log_{b}(a*c)=log_{b}a+log_{b}c[/tex]Quotient Rule for Logarithms - [tex]log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c[/tex]Power Rule for Logarithms - [tex]log_{b}(a^c)=c*log_{b}a[/tex]The exercise asks the potential solutions for [tex]log_4x+log_4(x+6)=2[/tex]. In this expression you can apply the Product Rule for Logarithms.
[tex]log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0[/tex]
Now you should solve the quadratic equation.
Δ=[tex]b^2-4ac=36-4*1*(-16)=36+64=100[/tex]. Thus, x will be [tex]x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}[/tex]. Then:
[tex]x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8[/tex]
The potential solutions are 2 and -8.
Read more about the properties of logarithms here:
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Answer:
2 and -8
Step-by-step explanation:
“Please help me I will give a BRAINLY and a THANKS and a 5 STAR RATE”
Answer:
i think 55/14 if not srry
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEE
Akeno performed an experiment in which he rolled a six-sided die and recorded the number it landed on in the following tally chart.
A tally chart. 1 has 6 tally marks, 2 has 2 tally marks, 3 has 5 tally marks, 4 has 6 tally marks, 5 has 5 tally marks, & 6 has 7 tally marks.
Based on the experiment, what is the probability of the die landing on 5?
Enter your answer as a fraction, like this: 42/53
Using the probability concept, it is found that there is a [tex]5/31 = \frac{5}{31}[/tex] probability of the die landing on 5.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, from the experiment, out of 6 + 2 + 5 + 6 + 5 + 7 = 31 marks, 5 landed on 5, hence:
p = 5/31.
[tex]5/31 = \frac{5}{31}[/tex] probability of the die landing on 5.
More can be learned about the probability concept at https://brainly.com/question/14398287
You are employed as the office manager at Clover Point Pediatrics. Your job requires you to take on many responsibilities. One of these is to arrange for the annual clinic party. This year, you have been given permission to rent a banquet room at a local hotel, hire a caterer, and hire a disc jockey for entertainment. There are 23 employees and each will be bringing one guest (46 total). Beer and wine will be served at a cost of $12.00 per person. What will be the total cost for beverages?
Using proportions, it is found that the total cost for beverages will be of $552.00.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, there will be a total of 46 people, and each will spend $12.00 on beer and wine, hence:
46 x $12.00 = $552.00.
The total cost for beverages will be of $552.00.
More can be learned about proportions at https://brainly.com/question/24372153
there are 4 triangles and 20 squares what is the simplest ratio of triangles to squares
Answer: 4:20 but that simplified would be 1:5
Triangles to squares
Add these signed nu embers mentally, from left to right. (2+) + (-10) + (+1) + (+3)
Answer:
(-4)
Step-by-step explanation:
Positive 2 plus negative 10 equals negative 8, plus positive 1 equals negative 7, plus positive 3 equals negative 4.
Cristy and 3 friends go to the movies. One ticket costs $1.75. Popcorn costs $2.00 a bag. Drinks and candy cost $1.00 each. What expression gives the total amount of money needed for Cristy and her 3 friends to each buy a ticket, bag of popcorn, drink, and candy?
which answer is correct
(4×1.75)+(4×2.00)+(4×1.00)+(4×1.00)
1.75+2.00+1.00+1.00
50−1.75+2.00+1.00+1.00
(3×1.75)+(3×2.00)+(3×1.00)+(3×1.00)−50
Answer:
the answer for this problem is 1.75+2.00+1.00+1.00
hope this helps :D
For each expression, write an equivalent expression that uses only addition.
20−9+8−7 = 11 + 1
4x−7y−5z+6 =
-3x−8y−4−87z
Equivalent expressions are expressions of equal values
The equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6 and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)
How to determine the equivalent expressionsThe first expression has been solved.
So, we have the following expressions
4x−7y−5z+6 and -3x−8y−4−87z
4x−7y−5z+6
We have:
4x-7y-5z+6
Rewrite as:
4x+ (y - 8y) + (2z-5z) +6
-3x−8y−4−87z
We have:
-3x−8y−4−87z
Rewrite as:
3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)
Hence, the equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6 and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)
Read more about equivalent expressions at:
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Help anyone!!!!!!!!!
Answer:
V=26.25in^3
Step-by-step explanation:
V=whl
=5·1.5·3.5
=26.25
Because we are finding volume we put the units cubed.
26.25in^3
g(x) = 2x + 1
2. g(10) =
Which expression is equivalent to the following complex fraction? StartFraction 3 Over x minus 1 EndFraction minus 4 divided by 2 minus StartFraction 2 Over x minus 1 EndFraction.
The expression which is equivalent to the provided complex fraction is equal to the expression,
[tex]{\dfrac{-4x+7}{2(x-2)}}[/tex]
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is,
[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}[/tex]
Let the expression which is equivalent to the above expression is f(x). Therefore,
[tex]f(x)=\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}[/tex]
Take the LCM (x-1) in the numerator and denominator as,
[tex]f(x)=\dfrac{\dfrac{3-4(x-1)}{x-1}}{\dfrac{2(x-1)-2}{x-1}}[/tex]
Simplify the expression and cancel out the (x-1) from both the fraction as,
[tex]f(x)={\dfrac{3-4(x-1)}{2(x-1)-2}}\\f(x)={\dfrac{3-4x+4}{2x-2-2}}\\f(x)={\dfrac{-4x+7}{2(x-2)}}[/tex]
Hence, the expression which is equivalent to the provided complex fraction is equal to the expression,
[tex]{\dfrac{-4x+7}{2(x-2)}}[/tex]
Learn more about the equivalent expression here;
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Help with triangle proofs please
Answer:
<ABD = <CDB
When two triangles, have the same angles and same base and height, they are the same.
PLEASE HELPPPP !!!!!!!!
HIJ and JKL are shown below
Which statement is true?
Answer: HIJ is similar to JKL
Step-by-step explanation: Because they are the exact same except JKL is bigger. a similarity of the two is that the angels are the same.
Answer:
the answer is C
Step-by-step explanation:
because i got the answer wrong and ti showed me the right one
Need answers for number 9,11,15,17,26,36
Show work please
Rules in exponents:
Let's review few rules before solving.
x⁰ = 1 (x can be any number)x⁻ⁿ (n ≠ 0 or any number below 0) = 1/xⁿSolution (9):
3⁻² = 1/3² = 1/9Solution (11):
(-5)⁻²=> 1/(-5)²=> 1/-5 x -5=> 1/25Solution (15):
-3⁰ = 1 [x⁰ = 1]Solution (17):
1/2⁰ = 1/1 = 1Solution (26):
k⁻⁴j⁰ => k⁻⁴ x j⁰ => k⁻⁴ x 1=> k⁻⁴ = 1/k⁴Solution (36):
7s⁰t⁻⁵/2⁻¹m²=> 7 x s⁰ x t⁻⁵/2⁻¹ x m²=> 7 x 1 x t⁻⁵ x 2/m²=> 14 x t⁻⁵/m²=> 14t⁻⁵m⁻²Hoped this helped!
Answer:
Step-by-step explanation:
(ab)^n = a^n*b^n
so (-a)^n = (-1)^n*a^n
a^(-n) = 1/a^n
a^0 = 1 if a is not 0
9. 3^(-2)
= 1/3^2
= 1/9
11. (-5)^(-2)
= (-1)^-2*5^(-2)
= (1/(-1)^2)*(1/(5^2))
= 1/1*1/25
= 1/25
15. -3^0 = 1
17. 1/2^0
= 1/1
=1
26. k^(-4)*j^0
=(1/k^4)*1
=1/k^4
36. 7*s^0*t^(-5) / 2^(-1)*m^2
= 7*1*(1/t^5) / (1/2)*m^2
= 2*7 / t^5*m^2
= 14 / t^5*m^2
A line containing the points (3,7) and (-1,5) is perpendicular to and has a y-intercept of 3. Where do they intersect?
Answer:
they intersect at coordinates (-2,6)
Step-by-step explanation:
i hope this helped
Sunny days 246 what percent of the year has sunshine ?
Answer:
67%
Step-by-step explanation:
If you take the 365 days in a year and divide that by the 246 sunny days, you should get the number 0.67397260274, rounded to 67%.e
Factor the difference of two perfect squares using the X method. An x-method chart shows the product a c at the top of x and b at the bottom of x. What are the two binomial factors for x2 – 25? (x – 5)(x – 5) (x 5)(x 5) (x – 20)(x 5) (x – 5)(x 5).
By using x-method we got that factorization [tex]x^2-25[/tex] is (x+5)(x-5)
What is factorization ?factorization is writing a expression as a product of several factors.
So Given polynomial is
[tex]x^2-25[/tex]
Now we will factorise this using x method
Here a=1 b=0 and c= -25
so ac=-25
Now We will write -25 at the top.
and 0 at the bottom.
No we will find two numbers that multiply to the top number -25 and add to the bottom number 0. Hence those numbers are -5 and 5.
Now we can write equation as
[tex]x^2-5x+5x-25\\\\x(x-5)+5(x-5)\\\\(x+5)(x-5)[/tex]
By using x-method we got that factorization [tex]x^2-25[/tex] is (x+5)(x-5)
To learn more about factorization visit : https://brainly.com/question/11579257
Answer:
D
Step-by-step explanation:
I just did it.
Please help me :(( I don't understand this (30 pt!!)
Step-by-step explanation:
2 hours=26 gallons or 2:26
We should simplify the ratio to see how many gallons an hour flight uses.
26÷2=13 or 13 gallons
1 hour=13 gallon
Now we see how much gas a 5-hour flight takes.
5x13=65
5 hours=65 gallons
Can someone help me
Answer:
24in
Step-by-step explanation:
18+6=24
Solve
13/19-(-1/19)
a.-12/19
b.-14/19
c.14/19
d.12/19
Answer:
C
Any time you have a subtraction and a negitive right next to eachother, it means to add. So, you would add 13 and 1 to get 14, then keep the denominator 19 to get 14/19.
Step-by-step explanation:
Answer: 14/19
To subtract fractions, we want to find the LCD and then combine. So the correct answer is C) 14/19
Exact Form:14/19
Decimal Form:
0.73684210
Hope this helps =)
PLEASE HELP ASAP WILL GIVE BRAINLIEST
Are the two lines parallel, perpendicular, or neither?
Answer:
1. Neither
2. Neither
3. Parallel
4. Perpendicular
Step-by-step explanation:
Please give brainlest
Answer:
look below
Step-by-step explanation:
1 is neither
2 is neither
3 is parallel
4 is perpendicular
which choices are equivalent to the expression?
a. 75
b. √25 · √3
c. √45
d. √75
e. √3 · √5
f. √15 · √5
Answer:
IT IS F
Step-by-step explanation:
simplify, the fraction 12/18
Answer:
23
Step-by-step explanation:
Since 12 and 18 are both divisible by 3, you would divide them by 3. Then, you are left with the fraction 46 . But, since 4 and 6 are both divisible by 2, you would do that. Finally, you end up with 23 with is in the lowest terms.
Answer:
2/3
Step-by-step explanation:
12/18
6×2 = 12
&
6×3 = 18
=2/3
(would appreciate it if you could mark me the brainliest :))
Using the distributive property, which expression is equivalent to 6(g + 3)?
Step-by-step explanation:
Property: [tex]a(b+c)=ab+ac[/tex]
Use the Distributive Property:
[tex]6(g+3) =6(g)+6(3)=6g+18[/tex]
6g + 18 is an equivalent expression when the distributive property is used.
A quadrilateral with only one pair of opposite sides parallel and the other pair of opposite sides congruent is a(n)
Answer:
im not sure but i think isosceles trapezoid
Solve for the value of r.
Answer:
r=14
Step-by-step explanation:
7r+6=8r-8
14=r
r=14
Answer:
r = 14
Step-by-step explanation:
Since both angles are equivalent to each other solve for r:
7r + 6 = 8r - 8 (subtract 6 from -8)
7r = 8r - 14 (subtract 8r from 7r)
-r = -14 (divide each side by -1)
r = 14
Then plug the value of r (14) back into both parentheses:
7 * 14 + 6 = 104°
8 * 14 - 8 = 104°
The final answer is r = 14, and both angles equal to 104°
what is the answer to −8×(−10)−7× −1 1?
At a university, 6 out of every 13 students live on campus; if there are 156 students enrolled how many live on campus?
Answer:
72
Step-by-step explanation:
156 divided by 13 times 6.
Answer: 71
Step-by-step explanation:
6/13 = 0.46 %
156 times 0.46
=71
