Range: [0, ∞), {y|0 ≤ y}
if a+9/a-3>2, which of the following could be a value of a? Select one: A. 17 B. 16 C. 15 D. 14
c is the correct answer
Answers are
A:4 square root 5
B:16
C:6
D:8 square root 5
Answer:
[tex]\large\boxed{A:\ 4\sqrt5}[/tex]
Step-by-step explanation:
Look at the picture.
ΔABC and ΔADB are similar. The corresponding angles are in proportion:
[tex]\dfrac{AB}{AC}=\dfrac{AD}{AB}[/tex]
We have:
[tex]AB=x,\ AC=5+11=16,\ AD=5[/tex]
Substitute:
[tex]\dfrac{x}{16}=\dfrac{5}{x}[/tex] cross multiply
[tex]x^2=(16)(5)\to x=\sqrt{(16)(5)}[/tex] use √ab = √a · √b
[tex]x=\sqrt{16}\cdot\sqrt5\\\\x=4\sqrt5[/tex]
which of the following terms can be added to 8b^2c?
A) 8b^2c^2
B)8bc
C)7cb^2
D)10c^2b
ANSWER
C)7cb^2
EXPLANATION
We want find the term among the given options that can be added to
[tex]8 {b}^{2} c[/tex]
That term must be similar to the given term.
It means that,it must be a
[tex] {b}^{2} c[/tex]
term.
From the alternatives provided, the only term, that is similar to the given term is
[tex]7c {b}^{2} [/tex]
Therefore, the correct answer is C
Answer:
C) [tex]7cb^2[/tex]
Step-by-step explanation:
Given expression is [tex]8b^2c[/tex].
Now we need to find about which of the following terms can be added to the given expression [tex]8b^2c[/tex].
A) [tex]8b^2c^2[/tex]
B) [tex]8bc[/tex]
C) [tex]7cb^2[/tex]
D) [tex]10c^2b[/tex]
We know that we are allowed to add only like terms. So
[tex]8b^2c[/tex] can be added with that term only which contains [tex]b^2c[/tex].
Choice C) [tex]7cb^2[/tex] contains [tex]b^2c[/tex].
Hence correct answer is C) [tex]7cb^2[/tex].
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John wants to know which color of container heats water the fastest. He gets a red container, a black container and a white container and fills each with 300 ML of water. The water is at the same temperature for all three containers. He sets the containers on a bench in the sun. He records the temperature of the water in each container every 5 minutes. Each container is the same size and made of the same material.
Independent variable:
Dependent variable:
3 Constants:
Write a hypothesis for this experiment:
Answer:
IV: Color of containers
DV: Temp of water
3 Constants: How much water, container size, container material
Hypothesis: The water in the red container will heat up the quickest
Hope this helps!
Red, black, white containers
Dependent variable: how much heat a container absorbed from the Sun.
Independent variable: temperature measured in the container
3 Constant: heat given by Sun, 300ML water, thermometer reading accuracy
Hypothesis: the black container will absorb the most heat from the Sun and will transfer the heat to the water first, the red will be second and white third.
Addison paid $10 for 2 granola bars and 6 apples. George paid $7 for 2 granola bars and 3 apples. Find the cost of each granola bar and each apple.
Answer:
g(granola bar) = $2 and a(apple) = $1
Step-by-step explanation:
This problem can be modeling as an equation systems with two unknows.
We can writting the equation systems as follows:
For Addison [tex]2g+6a=10[/tex] where "g" is a granola bar price, "a" an apple price, and 10 is the sum of both product prices in dollars.
For George [tex]2g+3a=7[/tex] where "g" is a granola bar price, "a" an apple price, and 7 is the sum of both product prices in dollars.
Ordering both equations:
[tex]\left \{ {{2g+6a=10} \atop {2g+3a=7}} \right.[/tex]
We're going to use the reduction method to solve this system of equations.
The reduction method consists of adding (or subtracting) the system equations to eliminate one of the unknowns.
1. Make sure that adding or subtracting the equations, some of the unknowns disappears.
We can see if we substracting both equations, the "g" unknown disappears.
[tex]\left \{ {{2g+6a=10} \atop {-(2g+3a)=-(7)}} \right.[/tex]
[tex]\left \{ {{2g+6a=10} \atop {-2g-3a=-7}} \right.[/tex]
Sustracting both equations, we obtain:
[tex]0g+3a=3[/tex]
[tex]3a=3[/tex]
[tex]a=\frac{3}{3} =1[/tex] which means that the value of an apple is $1.
2. We calculate the other unknown by substituting the value obtained from "a".
Substituting the value from "a" in the first equation:
[tex]2g+6(1)=10[/tex]
[tex]2g+6=10[/tex]
[tex]2g=10-6[/tex]
[tex]g=\frac{10-6}{2}[/tex]
[tex]g=\frac{4}{2}[/tex]
[tex]g=2[/tex] which means that the value of a granola bar is $2.
3. Finally, we verify the result by substituting the values obtained for "g" and "a" to see if it satisfy the equations.
For the first equation:
[tex]2g+6a=10[/tex] with g = 2 and a = 1
[tex]2(2)+6(1)=10[/tex]
[tex]4+6=10[/tex]
For the second equation:
[tex]2g+3a=7[/tex] with g = 2 and a = 1
[tex]2(2)+3(1)=7[/tex]
[tex]4+3=7[/tex]
The problem can be solved using a system of linear equations representing the cost relationships of granola bars and apples. By forming two equations from Addison's and George's purchases, you can find the cost of a granola bar (G) and an apple (A) using substitution or elimination.
Explanation:This question is a classic example of a system of linear equations where each equation represents a relationship between the cost of granola bars and apples. In this case, we have two people, Addison and George, and their respective costs for purchasing a combination of granola bars and apples.
We can set up two equations based on the information. Let's say G represents the cost of a granola bar and A represents the cost of an apple.
From Addison's purchase, we get the equation: 2G + 6A = $10
And from George's purchase, we formulate the equation: 2G + 3A = $7
You can solve this system of equations using various methods, such as substitution or elimination, to get G (cost of a granola bar) and A (cost of an apple).
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PLEASE HELP! Which number is a rational number?
Answer:
C. 17.156
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal. It can be expressed as a ratio of two integers.
The first answer wouldn't make sense, because there is no number times itself that would equal 15. Therefore, it would be irrational. Same goes with the last option.
We can also automatically rule out the second option because it is a nonterminating decimal.
3.73 expanded form.
Answer:
3.73 in expanded form
3 + 0.7+ 0.03
Final answer:
The number 3.73 in expanded form is written as 3 + 0.7 + 0.03, showing the value of each digit according to its place value.
Explanation:
The question is asking to write the number 3.73 in expanded form which is a way of writing numbers to show the value of each digit. When a number is written in expanded form, we break apart the number by each digit's place value, isolating each digit to represent the total sum of each part.
So, for the number 3.73, we can expand it as follows:
3 is in the ones place, so its value is 3 x 1, which is just 3.7 is in the tenths place, so its value is 7 x 0.1, which is 0.7.3 is in the hundredths place, so its value is 3 x 0.01, which is 0.03.Now, combining these values together, we can write 3.73 in expanded form as:
3 + 0.7 + 0.03
HELP! LOOK AT THE IMAGES BELOW
Answer:
(g+f)(x)=(2^x+x-3)^(1/2)
Step-by-step explanation:
Given
f(x)= 2^(x/2)
And
g(x)= √(x-3)
We have to find (g+f)(x)
In order to find (g+f)(x), both the functions are added and simplified.
So,
(g+f)(x)= √(x-3)+2^(x/2)
The power x/2 can be written as a product of x*(1/2)
(g+f)(x)= √(x-3)+(2)^(1/2*x)
We also know that square root dissolves into power ½
(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)
We can see that power ½ is common in both functions so taking it out
(g+f)(x)=(x-3+2^x)^(1/2)
Arranging the terms
(g+f)(x)=(2^x+x-3)^(1/2) ..
What is the greatest common factor of 36 and 60?
6
12
24
36
Answer:
Greatest Common Factor of 36 and 60. Greatest common factor (GCF) of 36 and 60 is 12. We will now calculate the prime factors of 36 and 60, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 60.
Step-by-step explanation:
gimme brainliest plz !! :)The greatest common factor of 36 and 60 can be found to be B. 12.
How to find the greatest common factor ?The greatest common factor (GCF), also known as the greatest common divisor (GCD), is the largest number that divides exactly into two or more numbers.
Let's find the GCF of 36 and 60.
36 = 2 x 2 x 3 x 3
60 = 2 x 2 x 3 x 5
The GCF is found by multiplying the common prime factors. In this case, the common prime factors are two 2s and one 3.
So, the GCF of 36 and 60 is:
= 2 x 2 x 3 = 12
In conclusion, option B is correct.
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Which statement best describes the graph of the price of one share of a company’s stock shown at the right?
Answer: D.
Step-by-step explanation: It increased, or went up, at the "p.m." point, though kept at a straight line in the "a.m."
Answer:
The correct option is d.
Step-by-step explanation:
The given graph shows the relation between price and time.
Here, x-axis represents the time and y-axis represents the price of one share of a company’s stock.
From the given graph it is clear that the price of one share of a company’s stock increasing as the time changes from a.m. to p.m.
It means the price increased more in afternoon than in the morning.
Therefore the correct option is d.
hi can u plz help me???
Answer:
6 , 1 , 2
61, 62, 16, 12, 26 , 21 , 612 , 216 , 621 , 612 , 126 , 162 , 261 ,
Step-by-step explanation:
think thats it hope this helps
Ricardo reflected the triangle across the y axis. What is the new triangle?
it's literally a triangle what the heckle are you doing
Answer:
Option B
Step-by-step explanation:
Solve the equation for all real values of x.
a.pi/6
b.pi k,pi/6
c. pik
d.pi/6+pik
Answer:
C
Step-by-step explanation:
1 / (cos x - sin x) = cos x + sin x
Multiply:
1 = (cos x + sin x) (cos x - sin x)
Distribute:
1 = cos² x - sin² x
Use trig identity:
sin² x + cos² x = cos² x - sin² x
2 sin² x = 0
sin x = 0
x = πk
Answer C.
Which is a better buy?
2-cup carton of pineapple juice for $1.04
Or
2-quart carton of pineapple juice for $6.24
Answer: I would say to go with "2-cup carton of pineapple juice for $1.04"
Step-by-step explanation:
If you want more pineapple juice for a cheaper price go with 2-cup carton for $1.04 The reason I say this is because 2 quarts equal 8 cups, so if you multiply the 2 cups and price by 4 you get 8-cups= $4.16 which is cheaper.
Help ASAP! Explain the process please
Answer:
B. 650 Roast Beef, 490 Tuna, 900 Turkey
Step-by-step explanation:
As this chart displays the order that occured in one week, in order to find the estimate for the month is to multiply the values on the chart by how many weeks there are in a month.
As there are 4 weeks in a months, we can multiply each value by this ratio
Roast Beef: [tex]4*152=608[/tex]
Tuna: [tex]4*114=456[/tex]
Turkey: [tex]4*209=836[/tex]
As this is an estimate, we are looking for the option that is the closest to these estimated values.
Option B is the closest to these values.
A machine called Feynman, produces output, that is 5 times its input followed by an increase of 2. Another machine called Maxwell, produces output, that is 5 times its input followed by a decrease of 2. The output of Feynman feeds into Maxwell. If Maxwell produces an output of 33, the input to Feynman must be:
(a). 1
(b). 31/5
(c). 41/25
(d). 21/25
I honestly think that the answer is a
Option: a is the correct answer.
(a) 1
Step-by-step explanation:Let the input of Feynman be denoted by i and it's output be denoted by f.Now, it is given that:
Feynman, produces output, that is 5 times its input followed by an increase of 2.
i.e. the equation that will be formed using this information is:
[tex]f=5i+2------------(1)[/tex]
Also, it is given that:The output of Feynman feeds into Maxwell.
Let the output of Maxwell be denoted by m and it's input is f.
Maxwell, produces output, that is 5 times its input followed by a decrease of 2.
This means that the equation that will be formed using this information is:
[tex]m=5f-2----------------(2)[/tex]
Now, we put the value of f from equation (1) into equation (2)
i.e.
[tex]m=5(5i+2)-2\\\\i.e.\\\\m=25i+10-2\\\\i.e.\\\\m=25i+8[/tex]
If the output of Maxwell is: 33
i.e.
[tex]m=33[/tex]
Then
[tex]33=25i+8\\\\i.e.\\\\25i=33-8\\\\i.e.\\\\25i=25\\\\i.e.\\\\i=\dfrac{25}{25}\\\\i.e.\\\\i=1[/tex]
Hence, the input of Feynman is: 1
PLEASE HELP!!!! I WILL MARK BRAINLIEST!!!!!!!! The question is in the picture!
The highest peak is in the middle and both sides of it are fairly similar, so this would be a bell shaped distribution.
f(x) = x^2. What is g(x)?
Answer:
D. g(x)=(3x)^2
Step-by-step explanation:
For function g(x), it displays the point (1,9) as part of the function. If (x,y), then we can plug those into the available answers. Plug 1 in for each x value in the function and whichever one equals 9 will be your answer. This is only true for g(x)=(3x)^2.
The equation of g(x) = (x/3)^2.
How can we find the value of g(x)?The graphs of the functions f(x) and g(x) are similiar and the difference between them is caused dilation.
g(x) = k*f(x)
We can find the equation of g(x) as follows:It is given that f(x) = x^2
From the graph, we can see that g(3) = 1.
Therefore:
g(3) = k*f(3)
= k*3^2
= 1
k*3^2 = 1
⇒ k*9 = 1
⇒ k = 1/9
Now, substitute the value of k in the g(x)
g(x) = (1/9)*f(x)
⇒ g(x) = (1/9)*x^2
⇒ g(x) = (x/3)^2
Therefore, we have found the equation of g(x) = (x/3)^2. The correct answer is option C.
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A bicycle tire is 28 inches in diameter.
Approximately how far does the bicycle move forward each time the wheel goes around? (Use 22/7 as an approximation for pi)
A.) 88 inches
B.) 44 inches
C.) 56 inches
D.) 64 inches
Answer:
Option A.) 88 inches
Step-by-step explanation:
step 1
Find the circumference of the wheel
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
we have
[tex]D=28\ in[/tex]
[tex]\pi =\frac{22}{7}[/tex]
substitute
[tex]C=(\frac{22}{7})(28)=88\ in[/tex]
The distance a bicycle moves forward each time the wheel goes around is equivalent to the circumference of the wheel, which can be calculated using the formula C=πd. For a wheel with a diameter of 28 inches, the circumference is 88 inches.
Explanation:The distance a bicycle wheel travels in one full rotation (which is also the perimeter of the wheel) can be calculated using the formula for the circumference of a circle, which is C=πd where π is a mathematical constant (about 22/7 or 3.14) and d is the diameter of the circle.
The diameter of this bicycle tire is given as 28 inches. Therefore, substituting 28 inches for the diameter (d) in the formula gives us C=22/7*28, which simplifies to 88 inches. So the bicycle moves forward approximately 88 inches each time the wheel goes around. Therefore, "the correct answer is A.) 88 inches".
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what symbol do you use for square root on pc?
Answer:
Step-by-step explanation:
Type in "sqrt .... " or click on the "omega" icon below for a list of built-in math characters, including "√"
For this case we must find the values of "a" and "b" that make the expressions equivalent:
We have:
[tex]\sqrt {\frac {126xy ^ 5} {32x ^ 3}} =[/tex]
We take common factor "2" from the numerator and denominator:
[tex]\sqrt {\frac {2 * (63xy ^ 5)} {2 * (16x ^ 3)}} =[/tex]
Eliminating common factors of numerator and denominator:
[tex]\sqrt {\frac {63y ^ 5} {16x ^ 2}} =[/tex]
So, we have that the values of a and b are:
[tex]a = 16\\b = 2[/tex]
Answer:
[tex]a = 16\\b = 2[/tex]
Note: To write square root on pc we use sqrt
Which expression is equal to (f + g)(x)?
ANSWER
B.
[tex](f + g)(x) = {x}^{3} + x- 715[/tex]
EXPLANATION
The given functions are:
[tex]f(x) = \sqrt{ {x}^{2} + 28x + 196} [/tex]
This is the same as
[tex]f(x) = \sqrt{ {(x + 14)}^{2} } [/tex]
[tex]f(x) = x + 14[/tex]
and
[tex]g(x) = {x}^{3} - 729[/tex]
[tex](f + g)(x) = f(x) + g(x)[/tex]
[tex](f + g)(x) = x + 14 + {x}^{3} - 729[/tex]
[tex](f + g)(x) = {x}^{3} + x- 715[/tex]
The correct answer is B
Answer:
B.
Step-by-step explanation:
[tex]= f(x) + g(x)\\= \sqrt{x^{2} +28x+196} +x^{3} -729\\factor (x^{2} +28x+196) to ((x+14)^{2})\\= \sqrt{(x+14)^{2} } +x^{3} -729\\= x+14+x^{3} -729\\=x^{3} +x-715[/tex]
An arithmetic sequence has this recursive formula:
A1=5
An=an-1-4
Final answer:
An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant. In this case, the recursive formula for the arithmetic sequence is A1 = 5 and An = An-1 - 4.
Explanation:
An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant. In this case, the recursive formula for the arithmetic sequence is A1 = 5 and An = An-1 - 4. Let's find some terms in this sequence:
A1 = 5
A2 = A1 - 4 = 5 - 4 = 1
A3 = A2 - 4 = 1 - 4 = -3
A4 = A3 - 4 = -3 - 4 = -7
...
So the first few terms in this arithmetic sequence are 5, 1, -3, -7, ...
Help!!!!
Evaluate: 2√125/1000
A- 25/200
B- 15/100
C- 3/25
D- 5/10
Answer:
[tex]\large\boxed{\dfrac{5}{10}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{\dfrac{125}{1000}}\qquad\text{use}\ \sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}\\\\=\dfrac{\sqrt[3]{125}}{\sqrt[3]{1000}}=\dfrac{5}{10}\\\\\\\sqrt[3]{125}=5\ because\ 5^3=125\\\\\sqrt[3]{1000}=10\ because\ 10^3=1000[/tex]
three consecutive integers have a sum of 246. what are the three integers?
Answer:
81,82 and 83
Step-by-step explanation:
X + X + 1 + X + 2 = 246
3X + 3 = 246
3X + 3 - 3 = 246 - 3
3X = 243
3X/3 = 243/3
X = 81
Which means that the first number is 81, the second number is 81 + 1 and the third number is 81 + 2. Therefore, three consecutive integers that add up to 246 are 81, 82, and 83.
81 + 82 + 83 = 246
Final answer:
To find the three consecutive integers, we can assume them as x, x+1, and x+2. By using the given sum and solving the equation, we find the values of the three integers to be 81, 82, and 83.
Explanation:
Let's assume the three consecutive integers as x, x+1, and x+2.
The sum of these three integers is given as 246, so we can write an equation:
x + (x+1) + (x+2) = 246
Combining like terms, we get:
3x + 3 = 246
Subtracting 3 from both sides:
3x = 243
Dividing both sides by 3:
x = 81
So the three consecutive integers are 81, 82, and 83.
What is the simplified form of the algebraic expression showed below
7w-3w+5
Answer:4w+5
Step-by-step explanation: take 3w away from 7w and get 4w
Explain how to find the LCM of 5 and 6.
This is because that’s the smallest number in the multiple of both numbers.
The Lowest common multiple of 5 and 6 is 30
Lowest common multipleThis is the lowest factor that can divide all other values without remainder.
In order to find the LCM of 5 and 6, we will Simply multiply thevalues together as shown:
LCM = 5 * 6
LCM = 30
Hence the Lowest common multiple of 5 and 6 is 30
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A teacher is evaluating how students in her first class did on an assessment versus her last class. The box plots show the results from her math test given to each class. With this data, what is the most reasonable answer to the question: Does the time a student learns math matter for their score?
Answer:
The time a student learns mathematics is important for their score
Step-by-step explanation:
Observe the boxes diagrams. Where the horizontal axis represents the score obtained by the students in the test.
The vertical lines that divide the boxes in two represent the value of the median.
The median is the value that divides 50% of the data.
For the class of the morning the value of the median is 50 points, with a maximum value of 80 and a minimum value of 10.
For the afternoon class, the median value is 65 points with a minimum value of 30 and a maximum value of 100.
This indicates that in general, the highest number of high scores were obtained in the afternoon class.
Therefore it can be said that the time a student learns mathematics is important for their score
Answer Sorry if this is too late but the answer is yes because the median test score of the afternoon class is 15 points above the morning class other wise the first option
Step-by-step explanation:
The graph of f(2)=x^2 is shown.
Use the parabola tool to graph the function g(x)=(1/5x)^2
A picture of graph of g(x) = (1/5x)^2 .
.
Find the value of h in the parallelogram.
Answer:
h = 32Step-by-step explanation:
The formula of an area of a parallelogram:
[tex]A=bh[/tex]
b - base
h - height
We have
[tex]b_1=36,\ h_1=24\\\\b_2=27,\ h_2=h[/tex]
Calculate the area:
[tex]A=(36)(24)=864[/tex]
[tex](27)(h)=864[/tex] divide both sides by 27
[tex]h=32[/tex]
What is the range of the function defined as y=5^x?
The range of the function [tex]y=5^x[/tex] is all real numbers greater than 0, represented as (0, ∞).
The range of the function defined as [tex]y=5^x[/tex] refers to the set of all possible output values the function can produce. We know that exponentiation with a positive base other than 1 results in positive numbers regardless of the exponent's value. The function [tex]y=5^x[/tex] can take any real number x and will output a positive value since raising 5 to any power results in a positive number. Therefore, the range of [tex]y=5^x[/tex] is all real numbers greater than 0, which can be expressed mathematically as (0, ∞).