Answer:
x = 0.25 or 1/4
Step-by-step explanation:
If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?
Answer:
x ≠ 5
Step-by-step explanation:
Assuming you mean f(x) = (1/(2x-10))+3
Please be careful with how ambigiuous your question can appear with the / sign.
The domain is the set of values that can be used as an input.
In this case the only input we have that could cause problem is if the denominator of the fraction is 0, because then we divide by 0 which is not allowed.
This gives us 2x-10 ≠ 0
2x ≠ 10
x ≠ 5
The domain of the function is given by the inequality ( 1/2 )x - 10 ≥ 0 and the value of x ≥ 20
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = [ √ ( 1/2 )x - 10 ] + 3
Now , the expression (1/2)x - 10 inside the square root must be greater than or equal to 0, as the square root of a negative number is not defined in the real number system.
(1/2)x - 10 ≥ 0
To solve this inequality, we can isolate x:
(1/2)x ≥ 10
x ≥ 20
Hence , the domain of the function f(x) is x ≥ 20.
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The complete question is attached below :
If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?
Mr. McMurry wants to get a gym membership. Planet fitness charges $25 a month. Everyday Fitn
charges membership fee of $30 and charges $10 a month. How many months would it take for E
options To be equal?
Equation
Solution
Answer:
pp
Step-by-step explanation:
A table is on sale for $289, which is 32% less than the regular price.
What is the regular price?
Answer:
[tex]R = \$903.125[/tex]
Step-by-step explanation:
Given
[tex]Selling\ Price = \$289[/tex]
[tex]Rate = 32\%[/tex]
Required
Determine the regular price (R)
From the question, we understand that:
[tex]R * 32\% = \$289[/tex]
So, we have:
[tex]R * 0.32 = \$289[/tex]
[tex]R = \frac{\$289}{0.32}[/tex]
[tex]R = \$903.125[/tex]
Hence, the regular price is $903.125
Find the measure ZBCD in the
following parallelogram.
Answer:
I think the answer is 2
x=1
Step-by-step explanation:
2x=2x
divide
x=1
plug it in
1×2
What is 150 increase by 10%
Answer:
500 hope this helps
Step-by-step explanation:
A statistics professor gives a survey to each of the 20 students in an introductory statistics course. The survey asks the students to estimate when they typically wake up on weekdays. The data are recorded in terms of the number of hours after midnight the students wake up. The data are included below. Use Excel to calculate the population standard deviation and the population variance.
Round your answers to three decimal places.
Wake up time
7.5
7.5
7.5
7.5
7.5
7
7
7
7
7
7
7
6.5
6.5
6.5
6
6
6.7
6.5
6.5
Answer:
[tex]B2 = 0.465[/tex] --- Population standard deviation
[tex]C2 = 0.216[/tex] --- Population Variance
Step-by-step explanation:
Given: Wake-up time data
Required: Determine the population standard deviation and the population variance using Excel
First, enter the given data in Excel
For this question, I entered the data in cell A2 through cell A21
Cell B2 and Cell C2 were used to hold the results of the population standard deviation and the population variance, respectively.
In cell B2, the formula to use is:
=ROUNDUP(STDEV.P(A2:A21),3)
The round function rounds the result to 3 decimal places while STDEV.P calculates the population standard deviation.
So, the result is:
[tex]B2 = 0.465[/tex]
In cell C2, the formula to use is:
=ROUND(VAR.P(A2:A21),3)
The round function rounds the result to 3 decimal places while VAR.P calculates the population variance.
So, the result is:
[tex]C2 = 0.216[/tex]
See attachment for Excel file
The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is 35 minutes and costs $5.25. Which show would give you more for your money?
Answer:
id say to have 15 more minutes of show time and to only pay about 2 dollars more, the more reasonable show would be the second one.
4 yards to 30 inches write each ratio in simplest form
Answer:
24:5
Step-by-step explanation:
4 yards is 3 feet, so 4*3=12. There are 12 inches in a foot, so 12*12=144. 144:30= 72:15 = 24:5
a patient needs fluid and carbohydrates for nutrition. which fluids is the patient likely to be administered
Answer:
5% Dextrose
Step-by-step explanation:
Dextrose is primarily used as a carbohydrate for nutrition and as a source of fluid. Whereas Sodium chloride is primarily used as a source of fluid and electrolytes.
A patient needs fluid and carbohydrates for nutrition. The fluid that the patient is likely to be administered is TNP. The patient needs fluid and carbohydrates for nutrition. The correct option is b.
What is TNP?Total parenteral nutrition (TPN) is a feeding technique that omits the digestive system. The majority of the body's nutritional requirements are met by a specific formula administered intravenously.
When a person cannot or shouldn't receive feedings or fluids orally, the technique is utilized. The term "parenteral nutrition," sometimes known as "total parenteral nutrition," refers to the practice of administering a unique type of food through a vein (intravenously).
The treatment's aim is to treat or stop malnutrition. TPN is made up of many components that are mixed together. These components include dextrose, lipid emulsions, amino acids, vitamins, electrolytes, minerals, and trace elements.
Therefore, the correct option is b, total parenteral nutrition.
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The question is incomplete. Your most probably complete question is given below:
a. protein
b. total parenteral nutrition.
c. iodine
d. fats
Will the sum of 56+ (-56) be Positive negative or zero
Answer:
the answer would be 0 i presume
Step-by-step explanation:
ty for reading :P
Write another expression equivalent to 2(x + 3) please answer i will make you brainliest
Answer:
2x + 6
Step-by-step explanation:
distribution
plz mark branliest
A manufacturing machine has a 10% defect rate. If 3 items are chosen at random, what is the probability that at least one will have a defect
Answer:
0.271 = 27.1% probability that at least one will have a defect
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they have a defect, or they do not. Items are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A manufacturing machine has a 10% defect rate.
This means that [tex]p = 0.1[/tex]
3 items are chosen at random
This means that [tex]n = 3[/tex]
What is the probability that at least one will have a defect?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.1)^{0}.(0.9)^{3} = 0.729[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.729 = 0.271[/tex]
0.271 = 27.1% probability that at least one will have a defect
56 = n - 33.
N = __?
Graphing plobem 8th grade. First anserw gets brainest
Answer: -5 is equal to x
Step-by-step explanation:
This is since you just make y = 0 to solve, so
0=x+5
= -5=x
Answer:
x=-8 and y=2 / x=-5 and x=5
Step-by-step explanation:
put x as 0 to find y
y=1÷4x+2
y=1÷4×0+2
y=0+2
y=2
put y as 0 to find x
y=1÷4x+2
0=1÷4x+2
-2+0=1÷4x
-2=1÷4x
1÷4x=-2
1x=-2×4
x=-8
y=x+5
0=x+5
x=-5
y=0+5
y=5
NEED ASAP
According to the results in the chart, what is the experimental probability of getting a number greater than 3 on the die? 3 over 12 6 over 12 9 over 12 8 over 12
Answer:
3 over 12
Step-by-step explanation:
3 over 12
Answer: 3/12
Step-by-step explanation:
7
Jackson is creating a rectangular board game that includes a diagonal line from two of the corners of the game. How long is the diagonal if the board game is 10 inches
long by 8 inches wide? Explain your reasoning. Round your answer to the nearest tenth of an inch.
Helppp
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.
If the kidneys filter 20% of medication
Answer:
Estimated glomerular filtration rate is the best test to measure ... stage of kidney disease and helps the doctor plan your treatment. If ... If your GFR number is low, your kidneys are not working as well as ... 20–29, 116.
Step-by-step explanation:
you have to study
please help asap with work!!!! thank you
Answer:
answer is C
Step-by-step explanation:
midpoint = ((x¹ + x²)÷2 , (y² +y²)÷2)
example:
((-4+2)÷2 , (-15+-1)÷2)
= ((-2÷2) , (-16÷2))
=(-1 , -8)
3. BASEBALL With a total of more than 36
home runs, Barry Bonds holds the
major league record for the most home
runs. About how many home runs did
Barry Bonds have?
Answer:
go..ogle says he has hit about 79 homeruns
Step-by-step explanation:
Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
A. 1.256 A2
B. 4.189 f?
C. 1,089 ft?
D. 1,568 AP
Answer:
C is my answer
Mark me as Brainilest Answer please
Thank Youuu
Fifty tickets were sold for the lottery. Jackson bought five tickets. What are the chances he will win?
Answer:
1/10 chances or 5/50.....
Help me out please Real answers only pleasee
Answer:
y=800(1.15)^x ---> Growth factor: 15%
y=3(0.85)^x ---> Decay factor: 15%
y=2000(4/5)^x --> Decay factor: 20%
y=0.3(0.5)^x ---> Decay factor: 50%
y=1200(1.05)^x Growth factor: 5%
(If b is less than 1, the graph is an exponential decay. If b is more than 1, the graph is an exponential growth.)
NEED HELP ASAP Which net represents the solid figure?
Net 1
Net 2
Net 3
Answer:
Net One <3
because the layout of the image includes length, which the other figures lack.
If IM is reflected across the x-axis and then translated along the vector <4, 1>, in
which quadrant is the final image?
Answer:
Final image L"M" will lie in the fourth quadrant.
Step-by-step explanation:
Coordinates of the ends of segment LM,
L → (-3, 4)
M → (-3, 2)
Rule to reflect a point across x-axis is,
(x, y) → (x, -y)
By this rule, coordinates of the image point of L and M will be,
L(-3, 4) → L'(-3, -4)
M(-3, 2) → M'(-3, -2)
Further these image points are translated along the vector <4, 1>
Rule for this translation will be,
(x, y) → (x + 4, y + 1)
Now the image points of the points L' and M' will be,
L'(-3, -4) → L"(-3 + 4, -4 + 1)
→ L"(1, -3)
M'(-3, -2) → M"(-3 + 4, -2 + 1)
→ M"(1, -1)
Therefore, final image L"M" will lie in the fourth quadrant.
How do you find the y-intercept of a line given two ordered pairs?
Answer:
Using the "slope-intercept" form of the line's equation (y = mx + b), you solve for b (which is the y-intercept you're looking for). Substitute the known slope for m, and substitute the known point's coordinates for x and y, respectively, in the slope-intercept equation.
Step-by-step explanation:
goog
At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 21 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon.
Part (a) In words, define the Random Variable X.
the number of fencers that do not use the foil as their main weaponthe different types of weapons the number of fencers at The Fencing Centerthe number of fencers that do use the foil as their main weapon
Part (b) List the values that X may take on.
X = 0, 1, 2, . . ., 60X = 1, 2, 3, . . ., 21 X = 0, 1, 2, . . ., 21X = 1, 2, 3, . . ., 60
Part (c) Give the distribution of X.
X ~
,
Part (d) How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.)
fencers
Part (e) Find the probability that eleven do not use the foil as their main weapon. (Round your answer to four decimal places.)
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%).No. The probability of all 21 fencers not using the foil as their main weapon is large (more than 10%).
Answer:
A.) the number of fencers that do not use the foil as their main weapon
B.) X : 0, 1, 2, 3,..., 21
C.) X ~ p(X) ; 21 ~ 0.4
D.) 21 ~ 0.4
E.) 0.0895
F.) Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%)
Step-by-step explanation:
A.) since it is reported that 60% of fencers use the foil as their main weapon ;
The random variable (x) : number of fencers that do not use foil as their main weapon ;
( 100% - 60%) = (1 - 0.6) = 0.4
B.) values that X may take on :
Sample size = 21 ;
X : 0, 1, 2,..., 21
The distribution of X
X ~ B ; X ~ p(X) ; 21 ~ 0.4
Part (d) How many fencers are expected to not use the foil as their main weapon?
X * p(x)
21 * 0.4
= 8.4
= 8 (nearest whole number)
Part (e) Find the probability that eleven do not use the foil as their main weapon.
P(x = 11)
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 11) = 21C11 * 0.4^11 * 0.6^10
P(x = 11) = 0.0895
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
P(x = 21) = 21C21 * 0.4^21 * 0.6^0
P(x = 21) = < 0.00001 ( approximately 0)
Hence, based on this very low value which is almost equal to 0 ; it will be surprising if all 21 do not use foil as their main weapon
HELP PLS ASAP!!!
these figures are congruent. What series of transformations moves quadrilateral FGHI onto quadrilateral F’G’H’I’?
Answer:
D
Step-by-step explanation:
It must first translate 1 unit to the left because quadrilateral F'G'H'I is one unit away from to y axis. It can then translate across the y-axis.
Answer:
ITS B!
Step-by-step explanation:
Ape x!
find the value of x?
Answer:
90
Step-by-step explanation:
90 degrees minus 35 degrees equals 65 degrees
which of these show equivalent fractions? A. 1/4=4/8 B. 1/2=2/4 C. 3/5 = 5/10 D. 2/3 = 3/6
(10 − 343) − 2 × 6 simplify the operation using the order of operations
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{\bf{{(10-343)-2\times6}}}\\\bold{Do\ PEMDAS}\\\bold{PEMDAS\ is....}\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex][tex]\\\bold{Do\ PEMDAS}\\\\\bold{PEMDAS\ is....\downarrow}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex]
[tex]\large\text{\bf{(10 - 343) - 2 * 6}}\\\large\text{\bf{10 - 343 = -333}}\\\large\text{\bf{(-333) - 2 * 6}}\\\large\text{\bf{2 * 6 = 12}}\\\large\text{\bf{(-333) - 12 = -345}}\\\boxed{\boxed{\large\text{\bf{Answer: -345}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]