The factored form of an equation is done by rewriting the equation in simpler forms.
The completely factored form of \(8x^2 - 50\) is \(2(2x-5)(2x + 5)\)
The expression is given as:
\(8x^2 - 50\)
Factor out 2 from the expression, \(8x^2 - 50\)
\(8x^2 - 50 = 2(4x^2-25)\)
Express 25 as 5^2
\(8x^2 - 50 = 2(4x^2-5^2)\)
Express 4 as 2^2
\(8x^2 - 50 = 2(2^2x^2-5^2)\)
Rewrite the expression as:
\(8x^2 - 50 = 2((2x)^2-5^2)\)
Express the expression as a difference of two squares
\(8x^2 - 50 = 2(2x-5)(2x + 5)\)
Hence, the completely factored form of \(8x^2 - 50\) is \(2(2x-5)(2x + 5)\)
Read more about factorization at:
https://brainly.com/question/3024511
Find the value of x.
Can someone help please?
1.The weight of sample of wood before drying was found to be 120kg. The percentage moisture content was found to be 50%, what is the weight of the sample of the wood after drying?
Answer:
60 kg
Step-by-step explanation:
From the question above, we obtain the following information;
Wood sample before frying = 120 kgMoisture in the sample is 50%We are required to determine the mass of wood after drying. This is given by:
multiplying the % of water in the mixture to remove it so that we remain with dry wood.= 50/100 × 120 kg
= 60 kg dry wood
Therefore, the mass of dry wood is 60 kg.
how much ounces is 16 pounds
how much ounces is 16 pounds
Remember that
1 pound =16 ounces
so
Convert 16 pounds to ounces
Multiply by 16
16 pounds=16(16)=256 ounces
answer is 256 ounces\(\fbox{256}\)
Remember:
\(1pound=16ounces\)
So we will have to multiply 16 by the number of pounds which is 16.
\(16\times16\)
\(=256\)
pls help due in an hour if u get it right ill mark you brainliest
Answer:
The answer is ≈3 to the nearest whole number
Step-by-step explanation:
using SOH CAH TOA
BCA
sin0=opp/hyp
sin0=7.9/11
0=sin‐¹(7.9/11)
0=46 to the nearest degree
<A=<D
so,<EDF=46°
tan0=adj/hyp
tan46=x/3.3
x=tan46×3.3
x=3 to the nearest whole number
Which expression shows the result of applying the distributive property to 3(2x-6)?
A) 6x-6
B) 2x-18
C) 6x-18
D) 5x-3
Answer:C 6x-18
Step-by-step explanation:
3 times 2 equals 6 and 3 times -6 will give you -18
Answer:
The solution is C) 6x-18
Step-by-step explanation:
3(2x-6)
(we multiply between 3 and in brackets)
3×2x = 6x
3×(-6) = -18
if we combine, then the arrangement is like this:
6x-18
Kurt says factors and multiples are related. Use the equation 8×5 = 40 to describe the relationship between factors and multiples.
Answer:
Before heading towards the solution, you need to make sure how multiple and factors are related to each other.
The multiple of a number could be obtained by multiply it with another number.
For example, the first five multiples of 12 are 12, 24, 36, 48 and 60
1 X 12 = 12
2 X 12 = 24
3 X 12 = 36
4 X 12 = 48
5 X 12 = 60
Factors are the numbers that are multiplied to get a given number.
For example,
1 X 12 = 12
2 X 12 = 24
3 X 12 = 36
The factors of 12 are 1, 2, 3, 4, 6 and 12.
As division and multiplication can be used to find factors and multiples.
For example a whole number is a multiple of its factors.
Let w = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} be the set of even wholes numbers from 2 to 20.
As 2 is a factor of 20 because 20 ÷ 2 = 4
20 is a multiple of 2 because 2 X 10 = 20
So, in the same way, the equation 8 X 5 = 40 can be used to determine how factors and multiples are related.
Let the equation be
8 X 5 = 40
8 is a factor of 40 because 8 X 5 = 40
40 is a multiple of 8 because 40 ÷ 5 = 8
So, this is how factors and multiples are related to each other.
A researcher wants to compare the performance of three types of pain relievers in volunteers suffering from arthritis. Because people of different ages may suffer arthritis of varying degrees of severity, the subjects are split into two groups: under 60 and over 60. Subjects in each group are randomly assigned to take one of the medications. Twenty minutes later they rate their levels of pain. Which of the following is true about this study?
a.
.
It has two factors, medication and age.
B.
It has one factor (age) blocked by type of medication.
C.
It uses matched pairs.
D.
It is completely randomized.
E.
It has one factor (medication) blocked by age.
The following is true about the study: e. It has one factor (medication) blocked by age.
In statistics, when a factor (independent variable) is blocked by another factor, it means that the effect of the first factor is controlled or eliminated by the second factor.
In this case, the factor that is blocked is the medication, which means that the effect of medication on the outcome variable is controlled by age.
Blocking a factor is often done in experimental design to remove the effects of extraneous variables or to control the influence of certain factors on the outcome variable.
In this case, age is considered a blocking variable because it is not of interest in the study, but it may have an effect on the outcome variable. By blocking the effect of medication by age, the study can better isolate the effect of medication on the outcome variable.
In summary, the statement e. "It has one factor (medication) blocked by age" is correct which means that the study controlled for the effect of age on the outcome variable by blocking the effect of medication by age.
To learn more outcome, refer below:
https://brainly.com/question/27292589
#SPJ11
Which one blue, light blue , yellow or red
Step-by-step explanation:
I just answered this. how often did you post this question ?
the answer is light blue.
Angles P and Q are complimentary angels. Given that sin P =0. 6 and sin Q =0. 8, what is tan Q, rounded to two decimal places
Tan Q, rounded to two decimal places, is approximately 1.33.
Since angles P and Q are complementary, their sum is 90 degrees.
We are given that sin P = 0.6 and sin Q = 0.8.
To find tan Q, we can use the relationship between sine, cosine, and tangent:
tan Q = sin Q / cos Q
Since sin Q = 0.8, we need to find cos Q.
Since sin^2 Q + cos^2 Q = 1 (based on the Pythagorean identity), we can solve for cos Q:
cos^2 Q = 1 - sin^2 Q
cos^2 Q = 1 - 0.8^2
cos^2 Q = 1 - 0.64
cos^2 Q = 0.36
Taking the square root of both sides:
cos Q = sqrt(0.36)
cos Q = 0.6
Now we can calculate tan Q:
tan Q = sin Q / cos Q
tan Q = 0.8 / 0.6
tan Q = 1.33
Therefore, tan Q, rounded to two decimal places, is approximately 1.33.
Learn more about trigonometry at https://brainly.com/question/29017733
#SPJ11
determine the value of y^12 when y= 10^ -1/6
Answer: \(\boxed{\frac{1}{100}\ or\ 0.01}\)
Step-by-step explanation:
Determine the value of \(y^{12} \ when\ y=10^{-\frac{1}{6}\)
\(=(10^{-\frac{1}{6} })^{12}\)
\(=\frac{1}{100}\ or\ 0.01\)
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ y^{12}\hspace{5em}y=10^{-\frac{1}{6}}\qquad \implies \qquad \left( 10^{-\frac{1}{6}}\right)^{12}\implies 10^{-\frac{1}{6}\cdot 12} \\\\\\ 10^{-2}\implies \cfrac{1}{10^2}\implies \cfrac{1}{100}\)
if 2x-6=0 the x =?
Answer:
x=3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
\(2x-6=0\\2x-6+6=0+6\\2x=6\\x=3\)
Hope this helps plz hit the crown ;D
Helppp
f(x)=-x^2+6x-18
f(x)=−x
2
+6x−18
\text{Find }f(-3)
Find f(−3)
The equivalent value of the function is x is -3 is -45
Functions and valuesFunctions are written in terms of variables
Given the function shown
f(x)=-x^2+6x-18
In order to determine f(-3), we will substitute x = -3 into the function to have:
f(-3)=-(-3)^2+6(-3)-18
f(-3) = -9 - 18 - 18
f(-3) = -45
Hence the equivalent value of the function is x is -3 is -45
learn more on functions here; https://brainly.com/question/4025726
#SPJ1
what is the sum of the first 26 terms of the arithmetic series?
a. 7 b. 11
c. 15
d. 19
To find the sum of the first 26 terms of an arithmetic series, we need to use the formula for the sum of an arithmetic series.
The sum of an arithmetic series can be calculated using the formula:
Sn = (n/2)(a1 + an),
where Sn is the sum of the series, n is the number of terms, a1 is the first term, and an is the last term.
In this case, we have the first term a1 = 7 and the number of terms n = 26.
To find the last term, we can use the formula for the nth term of an arithmetic series:
an = a1 + (n-1)d,
where d is the common difference.
Since we are not given the common difference in the problem, we cannot determine the exact value of the last term an.
Therefore, without knowing the common difference, we cannot calculate the sum of the first 26 terms of the arithmetic series. None of the given answer choices (a, b, c, d) are valid in this case.
To know more about arithmetic visit-
brainly.com/question/30260520
#SPJ11
Find the circumference of the object. Use $3.14$ or $\frac{22}{7}$ for $\pi$ . Round to the nearest hundredth, if necessary.
A drawing of a circular water cover. It has a diameter of 1.5 feet.
If the drawing of a circular water-cover, has the diameter of 1.5 feet, then it's circumference is 4.71 feet.
The "Circumference" of circle is the distance around the edge of a circle. It is the perimeter or the length of the boundary of the circle. The formula for the circumference(C) of a circle is given by : C = πd,
where "C" = circumference, "d" = diameter of circle, and π (pi) is a mathematical constant approximately equal to 3.14,
To find the circumference of a circular water-cover with a diameter of 1.5 feet, we substitute the value of diameter in formula of circumference:
We get,
⇒ C = π × d,
⇒ C = π × (1.5 feet),
Using π as 3.14, We get,
⇒ C = 3.14 × (1.5 feet),
⇒ C = 4.71 feet,
Therefore, the circumference of the circular water-cover is 4.71 feet.
Learn more about Circumference here
https://brainly.com/question/16125353
#SPJ1
The given question is incomplete, the complete question is
Find the circumference of the drawing of a circular water-cover, which has the diameter of 1.5 feet.
What is the answer please hurry
Answer:
I dunno
Step-by-step explanation:
The number of calories burned y
after x
minutes of kayaking is represented by the linear function y=4.5x
How many more calories are burned by doing the activity in part (a) than the other activity for 45 minutes?
The number of calories burned y after x minutes of kayaking is
How to find the number of calories burned y?You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight
For kayaking Linear function is y=4.5x
In 45 minute means x=45
so, y=4.5x
45*45
= 20.25
That means in kayaking will burnt 20.25 calories in 45
minutes
Therefore, hiking burns more calories.
Learn more about number of calories burned on https://brainly.com/question/28680077
#SPJ1
An assumption made about the value of a population parameter is called a A. confidence
B. hypothesis
C. significance D. normal curve
An assumption made about the value of a population parameter is called a hypothesis.
What is null hypothesis?
In inferential statistics, the null hypothesis is that 2 possibilities are an equivalent. The null hypothesis is that the determined distinction is because of likelihood alone. mistreatment applied mathematics tests, it's doable to calculate the chance that the null hypothesis is true.
Main Body:
As we need to make an assumption about population , it could be done by using a hypothesis test. so , the incorrect options are identified below:
The confidence, significance and normal curve cannot be used to make the assumptions about the value of a population parameter.
Hence , An assumption made about the value of a population parameter is called a hypothesis.
To know more about hypothesis , visit:
https://brainly.com/question/15980493
#SPJ1
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3. Write an expression to represent Emily's number.
Answer:
1/4n-3
Step-by-step explanation:
Answer:
1/4n-3
Step-by-step explanation:
Took the quiz <3
Solve for 'x' Side Splitter Theorem
Answer:
x = 10
Step-by-step explanation:
The segment parallel to the third side of the triangle and intersecting the other 2 sides, divides those sides proportionally, that is
\(\frac{2x-5}{10}\) = \(\frac{28-8}{8}\) = \(\frac{20}{8}\) ( cross- multiply )
8(3x - 5) = 200 ← distribute left side
24x - 40 = 200 ( add 40 to both sides )
24x = 240 ( divide both sides by 24 )
x = 10
Factor 32w+40z using the GCF.
a. 2(16w+20z)
b. 4(8w+10z)
c. 8(3w+5z)
Selected:d. 8(4w+5z)
Answer:
{x,y,z,w}={-1,0,6,3}
very few tools are available to assist system analysts and end users in analyzing data.
False. very few tools are available to assist system analysts and end users in analyzing data.
There are many tools available to assist system analysts and end users in analyzing data. Some commonly used tools include spreadsheets (such as Microsoft Excel), data visualization software (such as Tableau or Power BI), statistical analysis software (such as R or SPSS), and business intelligence software (such as SAP or Oracle).
These tools allow analysts and end users to process, manipulate, and visualize large volumes of data, as well as to perform complex statistical analyses and modeling. Additionally, with the advent of big data technologies, such as Hadoop and Spark, analysts and end users can now analyze vast amounts of data in real-time, using distributed computing systems.
In summary, there are many tools available to assist system analysts and end users in analyzing data, and these tools continue to evolve and improve over time.
Learn more about analysts here
https://brainly.com/question/31599694
#SPJ11
(HS JUNIOR TRIGONOMETRY)
TIME SENSITIVE (I have less than 24 hours for this)
Please help! And explain the process throughly
Trigonometry is an important branch of mathematics that deals with the relationships between the sides and angles of triangles. It has many real-world applications in fields such as physics, engineering, and architecture. In this answer, I will provide a brief overview of some key concepts in trigonometry that are typically covered in a high school junior-level course.
One of the most important concepts in trigonometry is the unit circle. This is a circle with a radius of 1 unit that is centered at the origin of a coordinate plane. The unit circle is used to define the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent.
To understand the trigonometric functions, we must first define some key terms. The hypotenuse of a right triangle is the side opposite the right angle. The opposite side is the side opposite the angle of interest, and the adjacent side is the side that is adjacent to both the angle of interest and the right angle.
Using the unit circle, we can define the sine and cosine of an angle as the y- and x-coordinates of the point on the unit circle that corresponds to the angle. The tangent of an angle is the ratio of the opposite side to the adjacent side. The cosecant, secant, and cotangent functions are simply the reciprocals of the sine, cosine, and tangent functions, respectively.
Trigonometric functions can be used to solve problems involving right triangles, such as finding missing side lengths or angles. They can also be used to model periodic phenomena, such as waves or oscillations.
In summary, trigonometry is a fascinating and useful branch of mathematics that has many applications in the real world. By understanding the key concepts of the unit circle and the trigonometric functions, students can develop a deeper appreciation for the beauty and utility of mathematics.
For more such questions on Trigonometry
https://brainly.com/question/13729598
#SPJ8
a)
Factorise fully
2p - 4pq
b)
Factorise
r? - 100
c)
Factorise k2 + 13k + 30
d)
Solve
K + 13k + 30 = 0
a) 2p(1-2q)
b) dunno
c) k(2+13+30)
d) I’m not sure
Answer:
a) 2p(1-2q)
b) don't know what you mean by r?
c) (k+3)(k+10) using the S, P, N method
d) k²+13k+30=0
(I think you meant to write k squared as it makes more sense)
k=2
Show that ∑
i=1
6
(dx
i
+e)=d(∑
i=1
6
x
i
)+6e 2. Show the equation below in a Sigma operator notation: (5x
3
+4)+(5x
3
+5)+(5x
3
+6)+(5x
3
+7)+(5x
3
+8)+(5x
3
+9)
Since both sides are equal, we have shown that ∑(i=1 to 6) (dx_i + e) = d(∑\((i=1 to 6) x_i\)) + 6e. This represents the summation of the terms \((5x_3 + i)\) for i = 1 to 6.
To show that ∑(i=1 to 6) \((dx_i + e)\)= d(∑(i=1 \(x_i\)) + 6e, we can expand both sides and compare.
Left-hand side:
∑\((i=1 to 6) (dx_i + e) = (dx_1 + e) + (dx_2 + e) + (dx_3 + e) + (dx_4 + e) +\)(dx_5 + \(e) + (dx_6 + e)\)
= \(dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6 + e + e + e + e\)+ e + e
= \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6) + 6e\)
Right-hand side:
d(∑\((i=1 to 6) x_i)\)+ 6e = d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\)+ 6e
Now, let's compare the two sides:
Left-hand side: \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6)\) + 6e
Right-hand side: d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\) + 6e
Since both sides are equal, we have shown that ∑\((i=1 to 6) (dx_i + e)\) = d(∑(i=1 to 6)\(x_i)\) + 6e.
To represent the equation\((5x_3 + 4) + (5x_3 + 5) + (5x_3 + 6) + (5x_3 +\)7) + \((5x_3 + 8) + (5x_3 + 9)\) using a Sigma operator notation, we can write it as:
∑\((i=1 to 6) (5x_3 + i)\)
This represents the summation of the terms \((5x_3 + i)\)for i = 1 to 6.
Learn more about summation here:
https://brainly.com/question/29334900
#SPJ11
The graph shows the relationship between pounds of grapes, g, and their cost, c.
A graph on a coordinate plane shows cost of grapes on the horizontal axis (c), numbered 2 to 6, and pounds of grapes on the vertical axis (g), numbered 1 to 4. Solid circles are at points (0, 0), (2, 1), (4, 2), (6, 3), and are connected by a solid line.
Use the graph to complete the statements.
For every dollar you spend, you can get
pounds of grapes.
For each pound of grapes, you would need $
.
For the two given statements are:
"For every dollar you spend, you can get pounds of grapes."
If one pound costs $2, then for each dollar you will get half a pound.
"For each pound of grapes, you would need"
For each pound of grapes you will need 2 dollars.
How to complete the given statements?
Here we know that the graph shows the relationship between the pounds of grapes (g) and the cost (c). Such that the cost is on the horizontal axis, and the weight on the vertical axis.
We have the points:
(0, 0) For 0 dollars you buy 0 pounds.(2, 1) for 2 dollars you buy one pound.(4, 2) for 4 dollars you buy 2 pounds.(6, 3) for 6 dollars you buy 3 pounds.Then this is a proportional relationship, and we can see that each pound of grapes costs $2
Then the statements are:
1) "For every dollar you spend, you can get pounds of grapes."
If one pound costs $2, then for each dollar you will get half a pound.
2) "For each pound of grapes, you would need"
For each pound of grapes you will need 2 dollars.
If you want to learn more about proportional relations:
https://brainly.com/question/12242745
#SPJ1
The bearing of part A from part B is 074 deg. What is the bearing of part A from part B
The bearing of part A from part B is 254 degrees.
ex 17. Determine whether each of these conditional statements is true or false. a) If1 + 1 = 2, then 2 + 2 = 5. b) If1 +1= 3, then 2 + 2 = 4. c) If 1+1=3, then 2 + 2 = 5. d) If monkeys can fly, then 1 + 1 = 3.
a) False - The consequent (2 + 2 = 5) does not hold true when the condition (1 + 1 = 2) is satisfied.
b) False - Neither the condition (1 + 1 = 3) nor the consequent (2 + 2 = 4) is true.
c) False - The consequent (2 + 2 = 5) does not follow when the condition (1 + 1 = 3) is met.
d) True - Since the condition (monkeys can fly) is false, the statement (1 + 1 = 3) holds true due to the structure of the conditional statement.
In the given conditional statements, we need to determine whether each statement is true or false based on the provided conditions.
a) If 1 + 1 = 2, then 2 + 2 = 5. This statement is false because the initial condition (1 + 1 = 2) is true, but the consequent (2 + 2 = 5) is false. In mathematics, if the condition is true, the consequent should also be true, but in this case, it is not.
b) If 1 + 1 = 3, then 2 + 2 = 4. This statement is false because both the condition (1 + 1 = 3) and the consequent (2 + 2 = 4) are false. The initial condition is not satisfied, so the statement cannot be true.
c) If 1 + 1 = 3, then 2 + 2 = 5. This statement is false for the same reason as statement a) - the initial condition is true, but the consequent is false.
d) If monkeys can fly, then 1 + 1 = 3. This statement is true because it follows the structure of a conditional statement where the condition (monkeys can fly) is false, and therefore the statement is always true.
In summary, statement a), b), and c) are false, while statement d) is true.
Learn more about conditional statement
brainly.com/question/30612633
#SPJ11
Line AB goes through points A(-4,-3) and B(-2,0). What is the slope of the line?
Answer:
3/2
Step-by-step explanation:
\((x_{1},y_{1}) = (-4,-3) \\\\\\(x_{2},y_{2}) = (-2 , 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{0-[-3]}{-2-[-4]}\\\\\\=\dfrac{0+3}{-2+4}=\dfrac{3}{2}\)
Answer:
\( \sf \frac{3}{2} \)
Step-by-step explanation:
\( \large \sf = \frac{ y_{2} - y _{1} }{ x_{2} - x_{1} } \)
\( \sf = \frac{ 0 - ( - 3)}{( - 2) - ( - 4)} \)
\( \sf = \frac{0 + 3}{( - 2) + 4} \)
\( \sf = \frac{0 + 3}{4 - 2} \)
\( \sf = \frac{3}{2} \)
I need help on this question
Answer:
c
Step-by-step explanation:
SOMEONE please just explain this to me I need to pass
Answer:
4
Step-by-step explanation:
I think I'm not that sure
Answer:
h = 0
Step-by-step explanation:
Ok, I got you.
To begin, everyone knows that y = mx + b is the equation for any slope-intercept form problem.
y = the y - value of a point
m = the slope
x = the x - value of a point
b = the y - intercept (or where the line starts)
So, you are given the slope, and you're given the y - value. But, you don't have the x - value in the second point.
That mean's you're going to have to use the first point, because you're given both the x and y values, to find the y - intercept.
Simply, plug in the y and x values where they belong.
2 = 6 (-1) + b
(Remember the 6 is the slope)
Now, solve for b.
2 = -6 + b
8 = b
Now, you know the y - intercept.
So, you can find the value of h in the second point. Since you don't know the x - value, plug in what you do know and solve for y.
So...
8 = 6 (x) + 8
(Remember 6 is the slope and 8 is the y - intercept)
Now, solve for x.
8 = 6x + 8
0 = 6x
0 = x
The value of h is 0.
I hope this helps :)