Answer:
work is shown and pictured
The factor of the equation x² - 9x + 14 is,
⇒ (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 equation is,
⇒ x² - 9x + 14
Now, We can find the factor of the expression as;
⇒ x² - 9x + 14
⇒ x² - 7x - 2x + 14
⇒ x (x - 7) - 2 (x - 7)
⇒ (x - 7) (x - 2)
Thus, The factor of the equation x² - 9x + 14 is,
⇒ (x - 2)
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Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
please give me the answer for 50 - [9÷(6+3)]
Answer:
49
Step-by-step explanation:
6+3=9
9÷9=1
50-1=49
Answer:
49Step-by-step explanation:
please give me the answer for 50 - [9÷(6+3)]
remember PEMDAS
50 - [9÷(6+3)] =
50 - [9 : 9] =
50 - 1 =
49
3/18 of the teachers at Naran's school are math teachers, and 30 of the teachers are not math teachers. How many teachers are there at Naran's school?
Answer:
36 teachers total
Step-by-step explanation:
Which of the following statements is supported by Chargaff's rule about the composition of DNA?
A.
DNA is a single stranded nucleic acid that contains uracil.
B. The number of adenines in a strand of DNA is equal to the number of thymines.
C. The "steps" of the DNA ladder are made of sugar and phosphates.
Select the correct answer. Find the inverse of function f. 1/2x+7
Answer: y=2x-14
Step-by-step explanation:
Solve for x
x/2+7 = y
x/2+7-7=y-7
x/2=y-7
2x/2=2(y-7)
x=2y-14
y=2x-14 ==> switch the x and y variables
Damien needs to order more pill containers for the pharmacy. Currently, there are 156 8-dram bottles, 78 20-dram bottles, and 132 30-dram bottles. All the bottles come in cases of 140 bottles. The pharmacist wants all stocks to be replenished so that there are at least 400 of each bottle type. How many cases of each bottle type does Damien need to order
Answer:
for 8 gram bottle = 2 cases
for 20 gram bottle = 3 cases
for 30 gram bottles = 2 cases
Step-by-step explanation:
Determine how many cases of each bottle type Damien needs to order
i) For 8-gram bottles
available bottles = 156
required amount ≥ 400
extra bottles to be ordered = 400 - 156 = 244 bottles
since case contains 140 bottles , the number of cases to be ordered
= 244 / 140 = 1.74 cases ≈ 2 cases
ii) for 20 gram bottles
available bottles = 78
required amount ≥ 400
Extra bottles to be ordered = 400 - 78 = 322 bottles
therefore the number of cases = 322 / 140 = 2.3 cases ≈ 3 cases
iii) For 30 gram bottles
available bottles = 132
required amount ≥ 400
Extra bottles to be ordered = 400 - 132 = 268
therefore the number of cases = 268 / 140 = 1.9 ≈ 2 cases
sin⁻¹(-\(-\frac{\sqrt{3} }{2}\)
Answer:
240,300
\( \frac{4\pi}{3} . \: \: \frac{5\pi}{3} \)
Help lol i have until tomorrow <3
X/3 - 2 = 6
Answer:
x=24
Step-by-step explanation:
if x is 24 in x/3, that would give us 24/3 or 8.
8-2=6 :)
The ship's cruising speed in calm water is 50 km/h. For the same route of 60 km, when the ship sails against the current it takes 0.5 hours more time than when sailing with the current. What was the speed of the current?
Step-by-step explanation:
Let the speed of the current be c km/h.
When the ship sails with the current, its effective speed is (50 + c) km/h.
When the ship sails against the current, its effective speed is (50 - c) km/h.
We know that the distance traveled is the same in both cases, which is 60 km.
Let's use the formula:
time = distance / speed
When sailing with the current, the time taken is:
60 / (50 + c)
When sailing against the current, the time taken is:
60 / (50 - c)
We know that when sailing against the current, it takes 0.5 hours more time than when sailing with the current:
60 / (50 - c) = 60 / (50 + c) + 0.5
Simplifying the equation, we get:
60(50 + c) = 60(50 - c) + 0.5(50^2 - c^2)
3000 + 60c = 3000 - 60c + 1250 - 0.5c^2
Simplifying further,
120c = 1250 - 0.5c^2
0.5c^2 + 120c - 1250 = 0
Solving the quadratic equation by factoring or using the quadratic formula, we get:
c = 10 km/h (ignoring the negative root)
Therefore, the speed of the current is 10 km/h.
Answer: 50km/h, 60km, 0.5 hr
Step-by-step explanation:
What is greater? X or -X and Why?
Step-by-step explanation:
A negative number(or variable, in this case) is less than 0. For example, which is greater, 3 or -3? 3, right?
In variables, x or a or m or whatever, can also be represented as 1x or 1a or 1m, and so on. So in the question, it's asking which is greater, x or -x? Think of the variables as 1x or -1x.
So 1x is greater.
Hope it helps!
Answer:
X is
Step-by-step explanation:
A negative number is always leeser than a whole number
Hope this helps
Plz mark brainlest
Find the quadratic polynomial that completes the factorization.
u^3 - 27 = (u - 3)
Answer:
\(u^2+3u+9\)
Step-by-step explanation:
The way to remember it, is like the square of a binomial, but all coefficients are 1.
So it's the square of the first term. The cross product. The square of the second. And you take only one of them.
In our situation is \(u^2+3u+9\)
If you want a way to find it, the way you think is it. It's a second degree polynomial, so \(au^2+bu+c\). Then you multiply the terms together, and you have to get terms removing in a way that you're left with just \(u^3-27\). With some number crunching you'll end up with \(a=1; b=3, c=9\)
PLEASE HURRY!!! I ONLY HAVE FIFTEEN MINUTES TO ANSWER.
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3
a. n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6
b. –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6
c. 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6
d. n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3
Answer:
c
Step-by-step explanation:
11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
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Two boys earn money mowing lawns. Jacob mowed 12 lawns this week. He mowed
3 times as many lawns as Kevin mowed.
In which equation does the box represent the number of lawns Kevin mowed?
A. 3 + □ = 12
B. 3 × □ = 12
C. 12 + 3 = □
D. 12 × 3 = □
Answer:
3 × □(4) = 12
Step-by-step explanation:
because Jacob mowed 12 lawns this week and He mowed
3 times as many lawns as Kevin mowed.
Which best describes a trapezoid?
A) 4 angles, 1 set of parallel sides
B) 4 angles, 2 sets of parallel sides
C) 4 right angles, 4 unequal sides
D) 4 equal angles, 4 equal sides
please help.....
Please help!
Whoever answers right gets brainliest!!!!
Answer:
\(y - 4 = - 3(x - 2)\)
1/4of what equals 31?
Answer:
124
Step-by-step explanation:
Based on the question, we are looking for a number that is equal to 31 when you divide the number by 4 (or multiply by 1/4, same thing). You can also represent this with an equation: 1/4x=31. This says: 1/4 of a number x is equal to 31.
1/4x=31
4(1/4x)=31(4)
x=124
You don't need an equation for this type of problem (you can simply multiply 31 by 4), but it can help if you are not sure what calculations to do!
The complete sentence is,
⇒ 1/4 of 124 = 31
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Let the number is,
⇒ x
Hence, We can formulate;
⇒ 1/4 of x = 31
Solve for x as;
⇒ 1/4 × x = 31
Multiply by 4;
⇒ x = 31 × 4
⇒ x = 124
Thus, The value of number is, 124
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The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please
Sara and Laura each have a bag containing 2 blue, 3 red, 4 yellow, and 1 green marble. Sara replaces marbles after each draw. Laura does not replace marbles after each draw. Find the probability of Laura drawing a red and then another red marble.
A.
5/19
B.
9/100
C.
3/10
D.
1/15
I need help with these problems
Measure of ∠C = 77°
And, Sides of triangles are;
a = 0.95
b = 0.566
c = 0.99
What is Sine rule of triangle?
By the definition of sine rule,
sin A / a = sin B / b = sin C / c
Where, a, b, c are sides of a triangle.
Given that;
Measure of ∠A = 27°
Measure of ∠B = 76°
Since, Sum of all angles of triangle = 180°
Hence,
∠A + ∠B + ∠C = 180°
27° + 76° + ∠C = 180°
∠C = 180° - 103°
∠C = 77°
So, Measure of ∠C = 77°
Since, By the definition of sine rule,
sin A / a = sin B / b = sin C / c
Since, sin A = sin 27° = 0.95
sin B = sin 76° = 0.566
sin C = sin 77° = 0.99
Hence,
0.95 / a = 0.566 / b = 0.99 / c = 1 / k
Taking terms as;
0.95 / a = 1 / k
a = 0.95 k
And, 0.566 / b = 1 / k
b = 0.566 k
And, 0.99 / c = 1 / k
c = 0.99 k
Hence, Sides of triangles are;
a : b : c = 0.95 k : 0.566 k : 0.99 k
a : b : c = 0.95 : 0.566 : 0.99
Thus, Measure of ∠C = 77°
And, Sides of triangles are;
a = 0.95
b = 0.566
c = 0.99
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A factory makes table tennis balls. Each day the factory makes 5,184 balls. The table tennis balls are packed into boxes and sent to a store. Each box holds 18 balls. How many boxes are needed for all 5,184 balls?
Answer:
288 boxes
Step-by-step explanation:
5,184 / 18=288 boxes
A lighting designer created a program for the opening of a stage show when the show starts 10 lights are on every 30 seconds One more light comes on if t is time in minutes and L is the number of lights that are on which function best models the number of lights that are on after T minutes of the Stacia
Given:
number lights on when the show starts = 10
the rate at which the light comes on = 30 seconds per light
t = time in minutes
L = number of lights on
To find:
the function that bests models the number of lights after t minutes
To determine the function, we will apply linear function formula:
\(\begin{gathered} y\text{ = mx + b} \\ b\text{ = initial amount} \\ m\text{ = rate } \\ x\text{ = t } \\ y\text{ = L} \end{gathered}\)The initial number of lights = 10
b = 10
since t is in minutes, we need to convert the rate from seconds to minutes
30 seconds = 1 light
60 seconds = 2(30 seconds)
60 seconds = 2(1) = 2 lights
rate = m = 2 lights/min
substitute the values:
\(L\text{ =2}t\text{ + 10 \lparen option B\rparen}\)Mrs Collins has 30 students in her class. Five were absent. Twenty-five were present.
A - what fraction of the students were absent
B - what percent of the students were absent?
C - Find the decimal value of the students who were absent?
D - what fraction of the students were present?
E - what percent of the students were present?
F - find the decimal value of the students who were present?
Answer:
Answered below.
Step-by-step explanation:
A- 5/30 students were absent.
B- Approximately 17% of students were absent.
C. 1.666666666666... use the notation for this the bar over 6.
D. 25/30 students were present.
E- Approximately 84% of students were present.
F- The decimal value of students who were present is 0.833333333.
:)))
A is what percent of B?
A = 8 oz, B = 1.5 lb
Plz help fast. its ok if u cant but help plz
Answer:
%33.33
Step-by-step explanation:
start by converting the 1.5 lbs into oz. 16 oz go into one pound.
since .5 is equivalent to one half, divide 16 in two to get 8 and then add 8 to 16.
You should get that 1.5 lbs = 24 oz
now divide 24 by 8
24/8 = 3
this shows that 8 goes into 24 three times. If three eights go into 24, then three ones go into 3. You can use this information to make a simplified fraction which is easy to convert over to a percent.
1/3
an last but not least, convert it to a percent
1/3 = %33.33
i hope this helped! i'm bad at explaining things so sorry if it's hard to understand lol
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
If A = 8 oz and B = 1.5 lb
A is 33.33% of B
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
A = 8 oz
B = 1.5 lb
We know that,
1 lb = 16 oz
So,
A = 8 oz
B = 1.5 x 16 oz
B = 24 oz
Now,
Finding the percentage of A.
= 8/24 x 100
= 800/24
= 33.33%
Thus,
If A = 8 oz and B = 1.5 lb
A is 33.33% of B
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What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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Complete this puzzle using each of these numbers only once : 2, 4, 5, 7, 8, 11, 13, 14, 16 Put the even numbers in the squares and the odd nurmbers in the circles. Each row of three numbers must add up to 26.
Here is one solution to the puzzle:
Squares: 2, 8, 16
Circles: 5, 7, 14
Total: 26
You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.
What are even and odd numbers?An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.
Therefore, the correct answer is as given above
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Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.
Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.
Using the law of sines, we can set up the following equation:
sin(50°) / 150 = sin(60°) / x
To solve for "x", we can rearrange the equation:
x = (150 * sin(60°)) / sin(50°)
Using a calculator, we can evaluate the expression:
x ≈ (150 * 0.866) / 0.766
x ≈ 168.4 ft
Therefore, the distance between Basti and Cian is approximately 168.4 ft.
(q − 10) (q² + q +1)
sin¹(x)-cos¹ (x)/sin²(x)-cos² (x) =1
FInd the volume of the figure
Answer:
785.4
I think it is right
Answer:
Solution: Here, Radius of cylindrical tank (r)=2ml Height of cylindrical tank (h)=8ml volume of that cylindrical tank (v)=?
Now,
we know that,
Volume of cylindrical(v)=V=πr2h=3.14×2×2×8=100.48ans.