Answer && Step-by-step explanation:
f o g x
== f(g(x))
plug g(x) into x variables
f(x)=2x+1 , g(x)=x+14
2(x+14)+1
2x+28+1
==2x+29
b is the answer
3 cups of cashews : 2 cups of almonds a rate, a proportion, or only a ratio?
Answer:
5 cups
Step-by-step explanation:
factor the GCF: 12x^4y-9x^3y^2+3x^2y^3
Answer:
3x^2y
Step-by-step explanation:
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Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left. The amount left depends on the number of days that have passed.
Answer:
2+
Step-by-step explanation:
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After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave 36 of his rocks to Susan, which equation could be used to determine how many rocks George started with?
A. 1/2 x = 36 + 6
B. 1/2 (x-5) = 36
C. 1/2x+5=36
D. 1/2 (x+5) = 36
(a) Suppose that a person has an average heart rate of 72.0 beats/min. How many beats does he or she have in 2.0 y
Answer:
[tex]7.56\times 10^7\ \text{beats}[/tex]
Step-by-step explanation:
It is given that,
A person has an average heart rate of 72.0 beats/min.
We need to find how many beats does he or she have in 2.0 years, t = 2 Y
Converting years to min.
[tex]t=2\text{year}\times \dfrac{365\ \text{days}}{\text{year}}\times 24\dfrac{h}{\text{day}}\times \dfrac{60\text{min}}{\text{hour}}\\\\t=1051200\ \text{min}[/tex]
So, no of beats in 2 years is given by :
[tex]b=72\ \text{beats/min}\times 1051200\ \text{min}\\\\b=7.56\times 10^7\ \text{beats}[/tex]
Hence, the required answer is [tex]7.56\times 10^7\ \text{beats}[/tex].
What is the unit's digits in the product 7³⁵×3⁷¹×11⁵⁵
A.1
B.3
C.7
D.9
Answer:
A.1
Step-by-step explanation:
Apply exponent rule [tex](3^{7}) ^1(11^{5} *7^{3} )^{5}[/tex]
[tex]=55240493^{5}(3^{7})^{1}[/tex]
Apply rule a^1=a = [tex]3^{7} *55240493^{5}[/tex]
[tex]=55240493^{5}*2187[/tex]
= 1.2496......E42
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what is the value what is the value of x in this equation 3(4x-6) - 2x + 1 = 3 - (3x - 6)
Answer:
x=2
Step-by-step explanation:
Suppose a research firm conducted a survey to determine the mean amount steady smokers spend on cigarettes during a week. Previous research indicates the population mean is $20 per week. The population standard deviation is $5. What is the probability that a sample of 100 steady smokers spend between $19 and $21
Answer:
The probability is 0.9545
Step-by-step explanation:
To find this probability, we shall use the z-score formula
Mathematically;
z-score = (x - mean)/SD/√n
where mean = 20
SD = 5
n = 100 and so √100 = 10
So for 19, we have ;
(19-20)/5/10 = 1/0.5 = -2
For 21, we have
(21-20)/5/10 = 1/0.5 = 2
So the probability we want to calculate is
P( -2 < z < 2)
we can use the standard normal distribution table for this
Using this table;
P(-2<z<2) = 0.9545