Answer:
3× + 3 = 10 + 2× find like terms 3× -2× = 10 -3 × = 7 final answer 7
BRAINLY I NEED HELP NOWWWWW
Answer:
9/9/108/126
Step-by-step explanation:
1/2bh is how you find the area of a triangle ! :)
This means that for both triangles, the area is 2 times the height, 9, then multiplied by one half. The area is 9 for both the left and right triangle.
The area of the rectangle is the product of the two lengths: 9 and 12, which is 108.
This means that the area of the entire trapezoid is 126. :D
a radio cost 5400 discount of 121/2% what is the cash price
Answer:
2133$
Step-by-step explanation:
5400-(5400$ *60.5/100)
I can give extra points, I just really need help. pls show work
Answer:
8.. answer 31/8 = 3 7/8
9 ... answer : 189/15 = 12 9/12
10 answer : 43/12 = 3 7/12
Hope this will helpful for you and plz mark me as brainlist plzzzz
1. Fill in the blanks with the most appropriate answer: (1 mark each = 5 marks) degrees. a) The resultant of two vectors has the largest magnitude when the angle between them is b) The expression k.(a.Bis (a scalar – a vector - meaningless) c) Given that the resultant force is 65 N [E 22° N], the equilibrant force is . d) Given Pl=9, a unit vector in the direction opposite to p is e) The expression (K.K)k + k in its simplest form is
(a)The resultant of two vectors has the largest magnitude when the angle between them is 180 degrees. (b)The expression k.(a.B) is a scalar (c) Given that the resultant force is 65 N [E 22° N], the equilibrant force is 65 N [W 22° S] (d) Given P = 9, a unit vector in the direction opposite to P is -P/|P|. (e)The expression (K.K)k + k in its simplest form is K(k + 1).
a) The resultant of two vectors has the largest magnitude when the angle between them is 180 degrees. When two vectors are in opposite directions (angle of 180 degrees), their magnitudes add up to produce the largest resultant magnitude.
b) The expression k.(a.B) is a scalar.The dot product of two vectors results in a scalar value.
c) Given that the resultant force is 65 N [E 22° N], the equilibrant force is 65 N [W 22° S]. The equilibrant force has the same magnitude as the resultant force but acts in the opposite direction.
d) Given P = 9, a unit vector in the direction opposite to P is -P/|P|. A unit vector in the opposite direction to a vector P is obtained by multiplying P by -1 and dividing by the magnitude of P.
e) The expression (K.K)k + k in its simplest form is K(k + 1). Explanation: Since K is a scalar, K.K simplifies to K², and k + k simplifies to 2k. Therefore, the expression becomes K²k + 2k, which can be further simplified to K(k + 1).
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Which is the equation of the line that passes through the points (9,2) and (7,-4)?
Answer:
y=3x-25
Step-by-step explanation:
Ce ratio of cups of honey to cups of oats for Dave's trail mix recipe is 3:7.
which ratio table correctly shows the amount of honey to oats?
On solving the provided question, we can say that - Jasmine receives 2 shares, or $10 (2 x $5)and Holly receives 4 shares at $5 each, for a total of $20.
What is ratio?
A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. For instance, the ratio might be represented as 1:3 if there were 1 boy and 3 girls (for every boy he has 3 girls) 3/4 are girls, while 1/4 are boys. A part is a quantity, ratio of amount or size between two or more items.
$30 is the entire sum.
Gertie distributes $30 in a 2:4 ratio.
2 plus 4 equals 6, the total number of shares.
$30 divided by six equals $5 for each share.
Jasmine receives 2 shares, or $10 (2 x $5).
Holly receives 4 shares at $5 each, for a total of $20.
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Part of the graph of the function f(z)=(z+4)(z-6).
-2
6+
4-
2+
-24
44
-64
y
x
Which statements about the function are true? Choose two correct answers.
The graph is negative on the entire interval -4 < z < 6.
The vertex of the function is at (1, -25).
The graph is increasing only on the interval -4
The vertex of the function is at (1,-24).
The graph is positive only on one interval, where z <-4.
The true statements about the function are; vertex of the function is at (1,-25)
Given Part of the graph of the function f(x) = (x + 4)(x-6)
We will convert to vertex form
the vertex of the function is: (1,-25)
We choose a. The vertex of the function is at (1,-25)
Since graph is increasing only on the interval -4< x < 6.
Because the parameter a =1 so the graph open up all over its domain and the vertex is the lowest point.
therefore the graph is increasing in the domain (1, +∞)
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-4(w + 5) + 5w simplify use distributive property
Answer:
w - 20
Step-by-step explanation:
Simplifying the expression:Remove the parenthesis by multiplying each term of (w + 5) by (-4)
-4(w + 5) + 5w = -4*w + 5*(-4) + 5w
= -4w - 20 + 5w
= -4w + 5w - 20
Combine like terms. Like terms have same variable with same power.
= w - 20
two consecutive odd numbers between 60 and 80 which are both prime?
Answer:
Hello I'll help you :))!
So there are 21 numbers from 60 to 80 both terms inclusive.
We ignore all even numbers in this range as even numbers can not be prime.
The odd numbers are 61,63,65,67,69,71.73,75,77,79.
So remaining numbers are prime. They are 61,67,71,73,79.
So there are 5 prime numbers in this range.
If a room is going to be a cube with volume of 4913 cubic ft.What will be the lenth of the room
Answer:
I believe it is 17 ft.
Step-by-step explanation:
Trapezoid ABCD is formed when right triangle EAB is cut by line DC such that DC || AB. Find the volume of the solid generated when the trapezoid is rotated about side DA. Round your answers to the nearest tenth if necessary.
The volume of the solid generated when the trapezoid is rotated about side DA is approximately 1586.6 cubic units (rounded to the nearest tenth).
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
According to the given information:Given:
DC = 7
DA = 6
DE = 6
AB = 14
Height of the trapezoid:
ED = (DC/AB) * EA = (7/14) * EA = 0.5 * EA
Height = EA - ED = EA - 0.5 * EA = 0.5 * EA
Circumference of the cylindrical shell:
Circumference = 2 * π * AB = 2 * π * 14
Thickness of the cylindrical shell:
Since the trapezoid is being rotated about side DA, the thickness (Δx) will vary along DA. We'll integrate with respect to x from 0 to 6 (the length of DA).
Volume of the solid generated:
Volume = ∫(0 to 6) [2 * π * 14 * 0.5 * EA * Δx]
Substituting EA = DE + DA = 6 + 6 = 12Volume = ∫(0 to 6) [2 * π * 14 * 0.5 * 12 * Δx]
Integrating:
Volume = 2 * π * 14 * 0.5 * 12 * [x] from 0 to 6
Volume = 2 * π * 14 * 0.5 * 12 * (6 - 0)
Volume = 504 * π
Approximating to the nearest tenth:
Volume ≈ 504 * 3.14 ≈ 1586.6 cubic units (rounded to the nearest tenth)
Therefore, the volume of the solid generated when the trapezoid is rotated about side DA is approximately 1586.6 cubic units (rounded to the nearest tenth).
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Arthur paid $0.84 for 0.25 pound of potato salad. How much does one pound cost?
Answer:
$3.36 per pound
Step-by-step explanation:
The information gives us that 1/4 a pound of salad costs $0.84, to get to one pound all we have to do is multiply $0.84 by 4 to get our pound price.
0.84*4= $3.36
Brainliest would be appreciated! :-)
The chancellor of Ferris State University in Grand Rapids, Michigan, was concerned about alcohol abuse on his campus and wanted to find out the portion of students at his university who visited city bars every weekend. His advisor took a random sample of 250 students the total number of students in the sample who visited city bars every weekend is an example of
The total number of students in the sample who visited city bars every weekend is an example of a count or a discrete variable.
In this scenario, the chancellor of Ferris State University wanted to investigate the portion of students who visited city bars every weekend. To gather data, the advisor took a random sample of 250 students from the university. The variable of interest, in this case, is the number of students in the sample who visited city bars every weekend.
Since the variable represents a count of students, it is a discrete variable. Discrete variables take on specific values and cannot be divided into smaller units. In this context, the total number of students who visited city bars every weekend in the sample can only be a whole number, such as 0, 1, 2, and so on.
Count variables are commonly used in statistical analysis to study events or behaviors that can be counted, such as the number of occurrences of an event, the number of individuals in a category, or in this case, the number of students who visited city bars every weekend. By examining the count variable, researchers can gain insights into the prevalence or frequency of a particular behavior or event within a population.
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Graph a line that passes through the point (- 7,- 4 ) and have pending -2/3
Answer:
I think you are right!
Step-by-step explanation:
a hexadecimal number is a number written in the base 16 number system.
t
f
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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In the right ∆ABC, BL is an angle bisector. If LB = 1.2 in and LC = 0.6 in. Find:
- The distance from L to AB.
- m∠ABC
Answer:
Distance of L from AB = 0.6 in.
m∠ABC = 60°
Step-by-step explanation:
Given:
LB = 1.2 in
LC = 0.6 in
We have to find the distance of point L to AB or length of LD.
From right triangle ΔBCL,
Sin(∠LBC) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
= \(\frac{LC}{LB}\)
= \(\frac{0.6}{1.2}\)
= \(\frac{1}{2}\)
m∠LBC = 30° [Since ∠LBC is an acute angle]
Since, ∠LBC ≅ ∠LBA
m∠LBA = 30°
Now from right triangle ΔLDC,
sin(∠LBA) = \(\frac{LD}{BL}\)
sin(30)° = \(\frac{LD}{1.2}\)
\(\frac{1}{2}=\frac{LD}{1.2}\)
LD = 0.6
Therefore, Distance of point L from AB is 0.6 in.
m∠ABC = m∠ABL + m∠LBC
= 30° + 30°
= 60°
How does the wax in a person's ear help keep that person healthy?
What is the Pythagorean Theorem used for?
Answer:
Pythagorean Theorem used for finding the missing side length for a triangle the formula is a^2 + b^2 = c^2
a= base
b= height
c= the diagonal side a.k.a. hypotenuse
Answer:
u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye
Step-by-step explanation:
The Mona Lisa, by Leonardo davinci , is arguably the most famous painting in existence. The rectangular artwork, which hangs in the Musee du Louvre, measures 77 cm by 53 cm. When the museum created a billboard with an enlarged version of the portrait for advertisement, they used a linear scale factor of 20. What was the area of the billboard?
(a) 4081 cm^2 (b) 32,638,000 cm^2 . (c) 81,620 cm^2 (d) 1,632,400 cm^2 . (e) None of these.
The area of the billboard is \(1,632,400 cm^{2}\), Option (d) is correct.
What was the area of the billboard?Since the linear scale factor f=20, then the billboard area:
A = \(77.53\)×\(20^{2}\)
= \(1,632,400 cm^{2}\)
Linear scale Factor:
The size of the enlargement/reduction is represented by the scale factor. For example, a scale factor of 2 means that the new shape is twice the original shape. A scale factor of 3 means that the new shape is three times the size of the original shape.
Therefore, the area of the billboard is \(1,632,400 cm^{2}\), and Option (d) is correct.
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A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially, what was the growth rate?
Answer:
The growth rate is 7.2%
Step-by-step explanation:
First thing we need to do here is to set up an exponential equation;
This can be written as follows;
F = I(1 + r)^t
where F is the future value = 20,000
I is the initial value = 10,000
r is the rate in percent which we want to calculate
t is time in years = 10 years
Substituting the values in the question into the exponential equation, we have;
20,000 = 10,000(1 + r)^10
divide both side by 10,000
2 = (1+r)^10
Find the 10th root of both sides
1+ r = 2^(1/10)
1 + r = 1.07177346254
r = 1.07177346254-1 = 0.07177346253
Let’s approximate r as 0.072
Now this to percentage?
That would be 72/1000 * 100% = 7.2%
Explain how to write an equivalent expression by combining like terms. W 10 w – 4.
An equivalent expression by combining like terms, we need to group the terms with the same variable exponent, add or subtract them as appropriate, and simplify the resulting expression
Combining like terms refers to the process of adding or subtracting variables with the same exponent and any constants present. The method of combining like terms is similar to how you add or subtract similar items. The key is to simplify the expression by making it as short as possible. Here is an example to demonstrate how to write an equivalent expression by combining like terms:
W 10 w - 4
To combine like terms, we first group all the like terms together, that is, the terms with the same variable exponent. Here, we can see that both terms have the variable w, so we can add them together.
However, the first term has a coefficient of 10, which means it has ten times the value of the second term. Therefore, we can rewrite the expression as follows:
W(10w - 4)
We have now combined like terms, but we can further simplify this expression. The term inside the parenthesis can be simplified by factoring out the common factor 2 from the two terms. This results in:
W(2 * 5w - 2)W(2(5w - 1))
The expression is now in its simplest form, and we have written an equivalent expression by combining like terms.
To summarize, to write an equivalent expression by combining like terms, we need to group the terms with the same variable exponent, add or subtract them as appropriate, and simplify the resulting expression as much as possible by factoring out common factors.
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help plss i don't get it can yall plz help
Answer: 24, b
Step-by-step explanation:
So it said "In the Math Club", 67% are not in the literature club. We also know that this 67% is 16 people.
Now we can set up an equation to find the total number of people in the math club. Let's say the total number of people in the Math club is x, so 0.67x = 17, and x = 25.37 rounded. So if 25 people in total, 16 not in the literature club, then that means 25-16 = 9 people are in both the Math club and the Literature club.
So of the students "Not in the Math Club", it said that 78 percent are not in the Literature Club. This means 22 percent are in the literature club. We also know 4 people are in the literature club.
Now we can set up an equation to find the total number of people not in the math club. Let's say the total number of people not in the Math club is x, so 0.22x = 4, x = 18.18 rounded. So if 18 in total, 4 in the literature club, than 14 not in the literature club.
Since x = 9, and y = 14, x+y will equal 23, rounding up to 24 since we rounded down the total number of people.
Can someone please please help me?
Answer:
Step-by-step explanation:
2,23
4,24
6,25, etc
6.17 greater or less 61 87/100
Answer:
Less
Step-by-step explanation:
\(6.17 < 6.187 \)
A medical researcher wants to determine how a new medication affects blood pressure.The equation of the regression line is Ý = 140 +(-0.0667)XAn amount of medication of 160 mg is found to result in a blood pressure of 127.74 mm Hg. What is the predicted blood pressure?
On solving the equation Ý = 140 + (-0.0667)X, the value for blood pressure is obtained as 129.328 mm Hg.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The equation is given as Ý = 140 + (-0.0667)X.
An amount of medication of 160 mg is found to result in a blood pressure of 127.74 mm Hg.
Here the value of X is X = 160.
The predicted blood pressure will be -
Ý = 140 + (-0.0667)160
Ý = 140 - 10.672
Ý = 129.328
The predicted blood pressure value is 129.328 mm Hg.
Here the predicted blood pressure value 129.328 mm Hg is greater than the actual blood pressure value 127.74 mm Hg.
Therefore, the observed value will be below the regression line.
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Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)
39.2
39.0
35.2
39.1
44.0
Answer:
The answer is B. 39.0
Step-by-step explanation:
To find the average we add all the numbers then divide it by the total amount of numbers
= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9
= 352/9
= 39.111111111
Round it of to the nearest tenth
= 39.0
Are the ratios 7:2 and 14:4 equivalent?
Answer:
yes
Step-by-step explanation:
yes because you can multiply by 2 on both sides
Answer:
yes
Step-by-step explanation:
cause u can divide by 2 and then they will be the same
in the diagram below , the measure of arc SQ is 160 degrees and the measure of arc PR is 102 degrees . find the value of x .
Given:
The measure of angle of arrc SQ is 160°.
The measure of angle of arc PR is 102°.
The objective is to find the measure of angle x.
Since, the angle x is away from te center of the circle.
Then, the formula to find the value of angle x is,
\(x=\frac{PR+SQ}{2}\)Now, substitute the given values in the above formula.
\(\begin{gathered} x=\frac{102+160}{2} \\ =\frac{262}{2} \\ =131\degree \end{gathered}\)Hence, the value of x is 131°.
Quadrilateral QUAD is a parallelogram. DC=4x-7 and CU=2x+3. Calculate the length of DU.
a. 5
b. 10
c. 13
d. 26
We can not calculate the length of DU as we do not have the value of 'x'.
Hence, the correct option is not given.
Quadrilateral QUAD is a parallelogram.
So, we know that opposite sides are equal.
So, DC=QU and CU
=DQDC = 4x - 7 ..... equation (i)
CU = 2x + 3 .....equation (ii)
Add equations (i) and (ii),
we get;
DC + CU = 4x - 7 + 2x + 3
⟹ DU = 6x - 4
Given that DU = ?
Let's put the value of DU which we found just now
DU = 6x - 4
So, DU = 6x - 4
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How many solutions does this equation have? –9h + 9h = 0
Answer:
Infinite
Step-by-step explanation:
Let's assume that h=2
-9(2)+9(2)=0
-18+18=0
And if we assumed that h=9
Then: - 9(9)+9(9)=0
- 81+81=0
Thus, h can be any number