Answer:
b
Step-by-step explanation:
absoulute value is never negative.
Is x a natural number
Answer:
no because natural numbers are positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well. not variables
Does (3, -50) make the equation y = -8x true?
Hey there!
y = -8x
→ -50 = -8(3)
→ -8(3) = -50
→ -8(3) = -24
→ -24 ≠ -50
Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)
Answer: NO
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
find the exact value of Sin A
Step-by-step explanation:
sin A = opposite/ Hypotenuse
Sin A = 5/7
Hello !
sin(A) = opposite/hypotenuse = 5/7
arcsin(5/7) ≈ 45,58°
sin(A) = 5/7
the angle A ≈ 45,58°
Write each set builder notation as interval notation. Do not include spaces in your answer. Please type out the word "infinity".
{r | -3 < r < 4}
The interval notation (-3, 4) represents the set of real numbers r that are greater than -3 and less than 4, excluding -3 and 4.
The set builder notation {r | -3 < r < 4} can be expressed in interval notation as (-3, 4).
In interval notation, the parentheses indicate that the endpoints, -3 and 4, are not included in the set.
The interval (-3, 4) represents all the real numbers r that are greater than -3 and less than 4, but not including -3 and 4.
It can also be visualized on a number line as an open interval between -3 and 4, where the endpoints are not filled in.
The interval (-3, 4) can be interpreted as a range of values for r. Any real number between -3 and 4, excluding the endpoints, would satisfy the given set builder notations.
For example, -2, 0, and 3 are all included in the interval (-3, 4), but -3 and 4 themselves are not part of the set.
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hiw many 2/3 are in 2 1/3
Answer:
3.5
Step-by-step explanation:
2 1/3 is equal to 7/3 and 2 goes into 7, 3.5 times.
Answer:
there are 3 2/3 in 2 1/3 with 1/3 left over
Step-by-step explanation:
Hope this helps.
Have a nice day :)
Can you give me brainliest plz :)
Indicated measure for circle o
Answer:
number a should be half of 82 which is 41
for question b is two times 26 which is 52
determine whether the statement describes a population or a sample. the number of times the students on your floor order fast food in a week.
The number of times the students on your floor order pizza in a week, population.
A population is a complete set of individuals or objects that share common characteristics. It is an entire group of people, animals, plants, or objects that can be studied. A population can also be a group of people living in a certain geographical area.
A sample is a subset of a population. It is a smaller group of individuals or objects drawn from the population that are used to make inferences about the population as a whole.
A sample is used in statistical analysis to estimate population characteristics, such as mean, median, and variance. The accuracy of the estimates depends on the size and representativeness of the sample.
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The complete question is:
Determine whether the statement describes a population or a sample. The number of times the students on your floor order pizza in a week, ___.
g(x)
=
g(4)
x²6
3x + 10
?
Answer:
\(g(4) = \frac5{11}\)
Step-by-step explanation:
Hello!
We can evaluate for g(4) by plugging in 4 for x.
Evaluate\(g(x) = \frac{x^2 - 6}{3x+10}\)\(g(4) = \frac{4^2 - 6}{3(4) + 10}\)\(g(4) = \frac{16 - 6}{12 + 10}\)\(g(4) = \frac{10}{22}\)Simplify
\(g(4) = \frac{5*2}{11*2}\)\(g(4) = \frac{5}{11}\)The value of g(4) is 5/11.
Find a polynomial function f(x) of degree 3 with zeros, 2, -3 , 5 and f(3)=6
A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).
Degree of the polynomial function is equal to 3.
Zero's of the polynomial function is equal to 2, -3 , 5 .
And f(3) = 6
If 2, -3, and 5 are zeros of f(x), then we can write function as,
f(x) = a(x-2)(x+3)(x-5)
where a is some constant.
To determine the value of a, we can use the fact that f(3) = 6.
Substituting x = 3 into the equation above, we get,
f(3) = a(3-2)(3+3)(3-5)
= -12a
Here we have,
f(3) = 6, so we can set these two expressions equal to each other and solve for a,
⇒ -12a = 6
⇒ a = -1/2
Now we can substitute this value of a back into the equation for f(x) that we found earlier,
⇒ f(x) = -1/2 (x-2)(x+3)(x-5)
Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).
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Rectangle ABCD is shown on the coordinate grid below.
Which sequence of reflections will map rectangle ABCD onto itself?
A. a reflection over the −axis followed by a reflection over the −axis
B. a reflection over the −axis followed by another reflection over the −axis
C. a reflection over the line = 2 followed by a reflection over the line = 2
D. a reflection over the line = 4 followed by a reflection over the line = −4
Answer:
Step-by-step explanation:
It’s B I did the test
Option {C} : a reflection over the y - axis followed by another reflection over the y - axis is the correct alternative of the given ones.
What is reflection of graph?Reflections of graphs involve reflecting a graph over a specific line.Reflecting functions are functions whose graphs are reflections of each otherGiven is a Rectangle ABCD as shown on the coordinate grid.
In order to map the rectangle ABCD onto itself, we will reflect it over the y − axis followed by another reflection over the same y − axis.
Therefore, option {C} : a reflection over the y - axis followed by another reflection over the y - axis is the correct alternative of the given ones.
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please answer fully ?/'//////////////////////
Answer:
(saving my answer for the question)
what is the problem?
Step-by-step explanation:
An amusement park charges an admission fee of 40 dollars for each person.
Let C be the cost (in dollars) of the admission for P people.
Write an equation relating C to P. Then use this equation to find the cost of admission for 19 people
Answer:
the equation is c×p
and the admission for 19 people is 760
A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs). How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg
Answer:
5 capsules
Step-by-step explanation:
A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).
Step 1
We convert the capsules form grams to milligrams
1 gram = 1000 milligrams
0.250grams = x
Cross Multiply
x = 0.250 × 1000 milligrams
x = 250 mg
Hence, 1 capsule = 250 mg
How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg
The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).
The child weighs 69 pounds
1 pound = 0.453592 kg
69 pounds = x kg
Cross Multiply
x kg = 69 × 0.453592kg
x kg = 31.297848kg
Hence,
1 kg= 40.0 mg
31.297848 kg = x
x = 31.297848 × 40.0mg
x = 1251.91392mg
Therefore, the child would take 1251.91392 mg
From the first calculation we know that:
1 capsule = 250 mg
250mg = 1 capsule
1251.91392 mg = x capsules
250mg × x = 1251.91392 mg × 1 capsule
x = 1251.91392 mg/250mg
x = 5.00765568 capsules
Approximately = 5 capsules
Hence, a child that weighs 69 pounds takes 5 capsules of keflex
write y+4=-2(x-1) in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
Given q = √(5p²-1)²-2 find p in terms of q.
Answer:
\(\sf p =\sqrt{\dfrac{q+3}{5}}\)
Step-by-step explanation:
To find p in terms of q, we have to isolate p.
\(\sf \sqrt{(5p^2 - 1)^2}-2 = q\\\\\)
5p² - 1 - 2 = q
5p² - 3 = q
Add 3 to both sides,
5p² = q + 3
Divide both sides by 5,
\(\sf p^2 = \dfrac{q+3}{5}\\\\\text{Take square root,}\\\\p =\sqrt{\dfrac{q+3}{5}}\)
Answer for brainlest
Answer:
∠1 = ∠8
Step-by-step explanation:
Because they are ALTERNATE EXTERIOR ANGLE
Answer:
∠1 = ∠8
Step-by-step explanation:
Because alternate exterior angles are equal.
Also there is no angle given so you cant work them out.
simply put:
∠1 = ∠8
∠1 = ∠4
∠3 = ∠2
∠1 = ∠5
∠2 = ∠6
∠2 = ∠7
∠5 = ∠8
∠4 = ∠8
∠7 = ∠6
∠7 = ∠3
Let me know if I missed out on anymore! It was long that's why.
Hope this kind of explained it :)
An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
Q1) (a) (i) Write x²+8x-9 in the form (x+k)² +h.
PLEASE ANSWER QUICKLY!!!!!
Answer:
(x+4)^2 -25
Step-by-step explanation:
x²+8x-9 in the form (x+k)² +h.
We need to complete the square.
x^2 +8x -9
Take the coefficient of x.
8
Divide by 2.
8/2 =4
Square it.
4^2 = 16
Add this then subtract i.
x^2 +8x+16 -16 -9
The x^2 +8x+16 becomes (x+4) ^2 and we can simplify the remaining terms.
(x+4)^2 -25
find the range of this equation
The range of the given equation is [-1, infinity).
We are given that;
Equation y= underroot(x+5)
Now,
The domain of this equation is the set of x values that make the expression under the square root non-negative.
That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).
The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.
Therefore, by the range the answer will be [-1, infinity).
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One more question please ?
What is the Surface Area of this Prism?
Total surface area:
792 in^2
Using log evaluate 3^x=10
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
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express 12 minute as afraction in 1 hour
Answer:
12/60=12/60÷12/12
=1/5
12 minutes=1/5
Step-by-step explanation:
A round has a diameter of
115
cm
115 cm115, start text, space, c, m, end text and is
25
cm
25 cm25, start text, space, c, m, end text deep. A hose is filling the pool at a rate of
34
,
000
cm
3
34,000 cm
3
34, comma, 000, start text, space, c, m, end text, cubed per minute.
How long will it take to fill the pool to a depth of
20
cm
20 cm20, start text, space, c, m, end text?
Round to the nearest minute.
It will take approximately 6.1 minutes to fill the pool to a depth of 20 cm at the given fill rate.
How to solve for the time it will take to fill the poolFind the radius of the pool:
Since the diameter is 115 cm, the radius (r) will be half of that:
Radius (r) = Diameter / 2
r = 115 cm / 2
r = 57.5 cm
Calculate the volume of the pool when filled to a depth of 20 cm:
Since the pool is round and assuming it has a cylindrical shape, we can use the formula for the volume of a cylinder:
Volume = π × r² × h
where π (pi) is approximately 3.14159, r is the radius, and h is the height (or depth, in this case).
Volume = 3.14159 × (57.5 cm)² × 20 cm
Evaluate the volume:
Volume ≈ 3.14159 × 3306.25 cm² × 20 cm
Volume ≈ 3.14159 × 66125 cm³
Volume ≈ 207354.2 cm³
Calculate the time it takes to fill the pool to a depth of 20 cm:
We are given that the hose fills the pool at a rate of 34,000 cm³ per minute. To find out how long it will take to fill the pool, we can use the following formula:
Time = Volume / Fill Rate
Time ≈ 207354.2 cm³ / 34,000 cm³/min
Time ≈ 6.1 minutes
It will take approximately 6.1 minutes to fill the pool to a depth of 20 cm at the given fill rate.
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Solve: 12x² +5x-4_122x+6
Ox=2
O x = -5
O x = 2, x = -5
Ono solution
Solution of the expression are,
⇒ x = - 5, x = 2
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ \(12^{x^{2} + 5x - 4} = 12^{2x + 6}\)
Now, We can compare as;
⇒ x² + 5x - 4 = 2x + 6
Solve for x as;
⇒ x² + 3x - 10 = 0
⇒ x² + 5x - 2x - 10= 0
⇒ x (x + 5) - 2 (x + 5) = 0
⇒ (x + 5) (x - 2) = 0
⇒ x = - 5, x = 2
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There are 14 people in an office with 3 different phone lines. If all the lines begin to ring at once, how many groups of 33 people can answer these lines
Answer: 2184
Step-by-step explanation:
The number of permutations of choosing r things out of n things:
\(^nP_r=\dfrac{n!}{(n-r)!}\)
Total people = 14
Number of phone lines = 3
For first call, there are 14 people , one of them will take then for next call there are remaining 13 people and so on. i.e. order matters
Number of permutations = \(^{14}P_3=\dfrac{14!}{(14-3)!}=\dfrac{14\times13\times12\times11!}{11!}\)
\(=14\times13\times12= 2184\)
Required number of ways = 2184
At a local baseball game, the concession stand has two different meal choices. You can get 5 hotdogs and 4 drinks for $15.50 or you can get 6 hotdogs and 3 drinks for $15.00. If the price of hotdogs and drinks is the same for each meal, find how much it costs for an individual hotdog and an individual drink.
per hordog =
per drink=
Answer: Hot Dog $1.50 Drinks $2.00
Step-by-step explanation:
Determine the value of θ using a trigonometric ratio.
Question 11 options:
A)
55.15°
B)
34.85°
C)
29.74°
D)
0.01°
answer
B)34.85°
ur very welcome
Answer:
34.85°
Step-by-step explanation:
Hello, just got done with this exam and got the answer correct!
1. A home remodeling company charges a $50 consultation fee plus $150 per hour for labor.
[CG 3.0 F.IF-DOK3]
(a) Write an equation to represent the total cost of a job that takes "x" hours. (3points)
(b) How much would it cost if it takes 40 hours to complete a job? (3points)
(©) If you have $5000 to pay for the work, would it be enough for a job that takes 40
hours? Explain or show your reasoning. (2points)
(d) Would you describe this situation as linear or exponential? Explain why you think so.
(2 points)
Can someone please help me
An equation to represent the total cost of a job that takes "x" hours is "total cost = $50 + ($150 × x)". The situation can be described as linear.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the cost of consulting is $50, while the cost of labour is $150 per hour.
A.) An equation to represent the total cost of a job that takes "x" hours.
Total cost = $50 + ($150 × x)
B.) Total cost is the labour works for 40 hours,
Total cost = $50 + ($150 × 40) = $6,050
C.) As found above the cost of working 40 hours is $6,050, therefore, the amount of $5,000 will not be enough.
D.) The situation can be described as linear.
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If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 
The inverse statement is false.
The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.For such more questions on inverse
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