Answer:
3
Step-by-step explanation:
Let's get the variable y on the left side only and the constants on the right side only. To do this, add y to both sides.
This results in 2y = 6, and so y = 3.
Answer:
B
Step-by-step explanation:
Write a polynomial expression that represents the area of the trapezoid [a= 1/2h(b1+b2)]
Answer:
1/2*(x+1)[(6x+5)+(4x+7)}
Step-by-step explanation:
The area of a trapezoid can be expressed as a polynomial using the formula a = 1/2h(b1+b2), where 'a' is the area, 'h' is the height, and 'b1' and 'b2' are the base lengths. If h=x, b1=y, and b2=z, then the polynomial expression for the area is a=0.5xz(y+z).
Explanation:The area of a trapezoid can be expressed in the form of a polynomial by using the formula a = 1/2h(b1+b2), where 'a' represents the area, 'h' is the height of the trapezoid, and 'b1' and 'b2' are the lengths of the parallel sides. Expressing this as a polynomial expression, we could have variables in place of the height and side lengths, depending on the specific trapezoid. For example, if h = x, b1 = y, and b2 = z, then the polynomial expression for the area of the trapezoid becomes a = 0.5xz(y+z).
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Solve for r. 13 = r (34 - 2) show your work
Answer:
For the (), it is 32. r = 13.
Step-by-step explanation:
32 - 13 = 19.
maureen purchased a watch for a sale price of $24. the price was 20% off its original price.which expression computes the original price of the watch? (answer choices A. $24 x 0.20 B. $24 x (1 - 0.20) C. $24 ÷ (1 - 0.20) D. $24 ÷ 0.20)
A might be the answer because 20%of 24 = 4.8 and 24×0.20 give you 4.8
Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2
The 7th term in the geometric sequence with a first term of 5 and a common ratio of 2 is found using the formula for the nth term of a geometric sequence. The 7th term is calculated to be 320.
The student has asked to determine the 7th term in a geometric sequence whose first term is 5 and whose common ratio is 2. To find this, we can use the formula for the nth term of a geometric sequence, which is an = a1 times rⁿ⁻¹, where a1 is the first term, r is the common ratio, and n is the term number.
To find the 7th term:
Identify that the first term (a1) is 5
The common ratio (r) is 2
Insert these values into the formula to get a7 = 5 times 2⁷⁻¹
Calculate the exponent: 2⁶ = 64
Multiply by the first term: 5 times 64 = 320
Therefore, the 7th term in the geometric sequence is 320.
then
rue?
6. Use the coordinates to prove the most
precise classification for the
quadrilateral.
A(-3,1), B(0,5), C(4,2), D(1,-2)
Answer:
Square
Step-by-step explanation:
You can use the distance formula from one point to another to find that the side lengths are all equals.
You can also graph it and see that it is a triangle.
With these coordinates, this shape is most likely a square. You can also tell from the distance between each point as they are equal. Graphing calculator: Desmos.com
if f(x)=3x+5/x, what is f9a+2)
A. 3(a+2)+8/a+2
B. 3(f(a))+5/f(a)+2
C. 3a+5/a+2
Answer:
b
Step-by-step explanation:
For this case we have a function of the form [tex]y = f (x)[/tex], where:
[tex]f (x) = 3x + \frac {5} {x}[/tex]
You want to find the value of the function to:
[tex]x = a + 2[/tex]
That is to say:
[tex]f (a + 2) = 3 (a + 2) + \frac {5} {a + 2}[/tex]
Rewriting we have:
[tex]f (a + 2) = 3a + 6 + \frac {5} {a + 2}[/tex]
ANswer:
[tex]f (a + 2) = 3 (a + 2) + \frac {5} {a + 2}[/tex]
QUICK !! What is the image point of (-9,5) after a translation right 3 units and down 2 units ?
Answer:
(-6,3)
Step-by-step explanation:
Answer:
the image point is(-6,3)
Step-by-step explanation:
HOPE THIS HELPS
which of the following properties is ALWAYS TRUE for a parallelogram?
Answer:
all sides are parallel to the other,has four sides
Step-by-step explanation:
What is y=X2-6x+7 in vertex form
Answer:
[tex]y = (x - 3^{2}) - 2[/tex]
Step-by-step explanation:
[tex]y = a (x - h)^{2} + k[/tex]
Standard form: [tex]y = ax^{2} + bx = c[/tex]
Our vertex is: [tex]xvertex = - \frac{b}{2a} \\y = x^{2} - 6x + 7 ( STANDARD - FORM)\\[/tex]
Finally we get [tex]y = (x - 3^{2}) - 2[/tex] as our answer.
Have an amazing day!
pleass answer the following
The picture is blurry I could help but I can’t really see it
What is the distance on a number line between 17 and −9.
the distance between them is 26
What is the denominator of the fraction 4/7
A denominator is the number that a fraction is being divided by, or the number below the line is a fraction. In this case the denominator is 7.
Answer:
7
Step-by-step explanation:
It’s the bottom number
help with this question please
ty
4(2x-5) is the answer
answer: 4(2x - 5)
explanation: if you don’t know how to factor gcf, look it up. But you need to find the gcf of 8 and 20 which is 4. Then you just get your answer. Sorry this is hard to explain but a tip is to distribute and check to see that it matches the original problem to find out if your answer is right. I will do that for this. 4(2x - 5) I use distributive property here meaning I distribute the 4 to both terms. 4 times 2x is 8x. 4 times negative 5 is negative 20. That leaves me with the original equation 8x - 20 so the answer is correct.
i have no clue what the answer is... helo
I think the first part is 466
The correct answer is 4.66 ×10^8, consider what I said on the last question
at the Middleton school festival, a test covers a rectagularspace 30 1/2 yards long and 9 1/3 yards wide. what is the area, in square yards,covered by the tent?
Answer:
Multiply the length times width:
30 1/2 x 9 1/3= 284.6
Hence, the area of the rectangular space is:
284.6667 square yards.
Step-by-step explanation:It is given that the length(l) of the rectangular space is: [tex]30\frac{1}{2}\ yard[/tex] .
which in improper fraction is: [tex]\dfrac{61}{2}\ yard[/tex]
Similarly, the width(b) of the rectangular space is: [tex]9\frac{1}{3}\ yard[/tex]
which in improper fraction is: [tex]\dfrac{28}{3}\ yard[/tex]
As we know that the area of the rectangular space is calculated as:
[tex]Area=l\times b\\\\\\Area=\dfrac{61}{2}\times \dfrac{28}{3}\ \text{square\ yards}\\\\\\Area=284.6667\ \text{square\ yards}[/tex]
Hence, Area is: 284.6667 square yards.
PLEASE ANSWER ASAP
Solve graphically the system of linear equations:
x+2y=4
−2x+5y=10
The system of linear equations, \(x + 2y = 4\) and \(-2x + 5y = 10\), was solved graphically. The lines intersect at (2, 1), yielding the solution \(x = 2\) and \(y = 1\).
To solve the system of linear equations graphically, we'll plot the lines corresponding to each equation and find their point of intersection, which represents the solution to the system.
Let's rearrange the equations to be in slope-intercept form (\(y = mx + b\)) for ease of graphing:
a. \(x + 2y = 4\)
\[ 2y = -x + 4 \]
\[ y = -\frac{1}{2}x + 2 \]
b. \(-2x + 5y = 10\)
\[ 5y = 2x + 10 \]
\[ y = \frac{2}{5}x + 2 \]
Now, we'll plot these lines on the graph:
The graph shows that the two lines intersect at the point \((2, 1)\). Therefore, the solution to the system of linear equations is \(x = 2\) and \(y = 1\).
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csc^3x-csc^2x-cscx+1=cot^2x(cscx-1)
Verify the identity:
[tex]csc^3x-csc^2x-cscx+1\qquad =cot^2x(cscx-1)\\\\csc^2x(cscx-1)-1(cscx-1) =\quad \downarrow\\\\(csc^2x-1)(cscx-1)\quad \qquad \ =\quad \downarrow\\\\\bigg(\dfrac{1}{sin^2x}-\dfrac{sin^2x}{sin^2x}\bigg)(cscx-1)\ =\quad \downarrow\\\\\\\bigg(\dfrac{1-sin^2x}{sin^2x}\bigg)(cscx-1)\qquad \ =\quad \downarrow\\\\\\\bigg(\dfrac{cos^2x}{sin^2x}\bigg)(cscx-1)\qquad \qquad =\quad \downarrow\\\\\\cot^2x(cscx-1)\qquad \qquad \qquad =cot^2x(cscx-1)\qquad \checkmark[/tex]
Sorry, I messed up. So I changed it.
Is the following shape a right triangle? How do you know?
Answer:
Yes
Step-by-step explanation:
A has a right angle because A on the triangle is turned at a 90 degree angle.
Answer:
B) Yes , two sides are perpendicular and side length fir the Pythagorean theorem.
Step-by-step explanation:
Given : A triangle on the graph.
To find : Is the following shape a right triangle? How do you know.
Solution : We have given that
A triangle ABC We need to explain is it right triangle or not.
Right triangle : A triangle which have two sides perpendicular or one of the angle is 90 degree.
We can see from the graph side AB and AC are perpendicular to each other.
Therefore, B) Yes , two sides are perpendicular and side length fir the Pythagorean theorem.
If the sum of two congruent lengths equal the length of a third side,then the triangle created is isosceles. Is this a true statement?
Answer:
No; statement is FALSE.
Step-by-step explanation:
If two congruent (equal length) sides of a triangle sum up to the length of the third side, we have a flat (2-dimensional) figure that is NOT a triangle. So this statement is FALSE.
17........................
Answer:
Step-by-step explanation:
First, add 3 to both sides:
-5 = -6∛(x²)
Next, divide both sides by -6, to isolate ∛(x²):
5/6 = ∛(x²)
Eliminate the radical by cubing both sides:
5³
---- = x²
6³
Finally, take the square root of both sides. This will isolate x. There will be two roots: one +, the other -.
x = ±√(5³/6³)
This simplifies to: ± (5/6)∛(5/6).
Answer:
a. [tex]0.76,-0.76[/tex]
Step-by-step explanation:
The given equation is;
[tex]-8=-3-6\sqrt[3]{x^2}[/tex]
Add 3 to both sides of the equation to get;
[tex]-8+3=-3+3-6\sqrt[3]{x^2}[/tex]
[tex]\Rightarrow -5=-6\sqrt[3]{x^2}[/tex]
Divide both sides by -6.
[tex]\Rightarrow \frac{-5}{-6}=\sqrt[3]{x^2}[/tex]
[tex]\Rightarrow \frac{5}{6}=\sqrt[3]{x^2}[/tex]
Cube both sides of the equation;
[tex]\Rightarrow (\frac{5}{6})^3=x^2[/tex]
[tex]\Rightarrow \frac{125}{216}=x^2[/tex]
Take square root of both sides
[tex]\pm \sqrt{\frac{125}{216}}=x[/tex]
[tex]\pm 0.76=x[/tex]
[tex]\therefore x=0.76,-0.76[/tex]
Please help I have school in 20 mins and I have a lot of homework I never finished
Answer: The correct answer is H.
Step-by-step explanation: The first step is to calculate how much he is going to pay 28% on. The difference between $3,775 and $3,523 = $252.
The formula to calculate his total taxes = .28 x $252 + $699.65.
$70.56 + $699.65 = $770.21, which is the total federal taxes that he needs to pay.
Next, to determine the amount he will receive you need to subtract the taxes from his gross income. $3,775 - $769.65 = $3,004.79 Net Income
Answer:
h
Step-by-step explanation:
The diameter of a regulation soccer ball is about 8 3/5 This number was graphed on a number line. Which point could be the point representing the graph of the diameter of the ball?
Answer:
The answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The given circle has diameter [tex]8\frac{3}{5}[/tex].
We can write as a decimal to obtain;
[tex]8\frac{3}{5}=8.6[/tex]
On the number line 8.6 is between 8 and 9 but closer to 9.
From the graph the correct answer is D
Where is the location of the vertex of the parabola on a coordinate grid y=x^2+2x+1
Answer:
(-1,0)
Step-by-step explanation:
Convert the equation to vertex form which becomes y=(x+1)^2+0
Then we can see the vertex in the form (h,k) in y=a(x-h)^2+k
[tex](-1,0)[/tex]
Explication pas à pas:
Convertir l'équation en forme de sommet qui devient [tex]y = (x + 1) ^ 2 + 0[/tex]
Ensuite, nous pouvons voir le sommet sous la forme (h, k) dan
[tex]y = a (xh) ^ 2 + k[/tex]
15PTSSSSSSSSSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
19) Student Heights in Inches:
54, 55.5, 56, 56, 56.5, 57, 58, 58, 58, 58.5,
58.5, 59, 59, 59.5, 60, 60, 60.5, 61, 63, 72
Mrs. Blackwell's class is getting a new student next week. The current students want to predict the height of the new student. They record the height of everyone in the class. Which measure of center should they use to make the prediction and what should be their prediction?
A) the mean and they should predict 59 inches
B) the mean and they should predict 58.5 inches
C) the median and they should predict 59 inches
D) the median and they should predict 58.5 inches
Answer: D. The Median and they should predict 58.5 inches.
Step-by-step explanation: Before we start, we want to use median. This is because there is an outlier, 72, and that would mess up the mean by a small yet noticeable margin.
Since the median picks both numbers 58.5 and 58.5, that means that the answer will be D. The Median and they should predict 58.5 inches.
Answer:
D The median and they should predict 58.5
Step-by-step explanation:
If you count from the outsides and go to the inside with a pencil or you're fingers then you get 58.5 :D
Plz help i need it!!
Answer: c) 19,807
Step-by-step explanation:
[tex]A=A_o\cdot e^{kt}\\\\\bullet A_o\text{ is the initial population}\\\bullet \text{k is the rate of decrease}\\\bullet \text{t is the number of years after 2010}\\\\A=22,000\cdot e{(-0.021)(5)}\\.\ =22,000\cdot e^{-0.105}\\.\ =19,807[/tex]
Can anyone find what A = ______ m square?
Answer:
B. 16pi
Step-by-step explanation:
Lets input our radius int the formula. pi*4^2. 4^2 is 16 so the answer is 16pi.
solve for x (-3+5) - (6x-8)
Answer:
-6x +10
Step-by-step explanation:
(-3+5) - (6x-8)
We cannot solve since there is no equals sign, we can only simplify
Combine the -3 and the 5 in the parentheses
(2) - (6x-8)
2 - (6x-8)
Distribute the minus sign
2 -6x +8
-6x +10
Thomas has an album that holds 600 baseball cards each page of the album holds 6 cards. If 45% of the album is empty, how many pages are filled with baseball cards
Answer:
55 pages
Step-by-step explanation:
Knowing that the book holds 600 cards and 6 cards/page, we can tell that there are 100 pages.
From that, we know that 45% are empty, which means 55% of all of the pages have cards.
55% of 100 is 55. Therefore, 55 pages have baseball cards.
Final answer:
To find out how many pages of Thomas's album are filled with baseball cards, we first calculate the number of filled card slots and then divide by the number of slots per page, resulting in 55 filled pages.
Explanation:
Thomas has an album that holds 600 baseball cards, and each page of the album holds 6 cards. If 45% of the album is empty, we first calculate how many cards are in the filled portion of the album, and then determine how many pages are filled with baseball cards.
First, find 45% of 600 to determine the number of empty slots: 0.45 × 600 = 270. Therefore, there are 270 empty slots for baseball cards. To find the number of filled slots, subtract this number from the total capacity: 600 - 270 = 330 filled slots.
Since each page holds 6 cards, to find out how many pages are filled, divide the number of filled slots by the number of slots per page: 330 ÷ 6 = 55. Therefore, Thomas has filled 55 pages with baseball cards.
Terry has 15 candles. She needs at least 100 candles. The candles she wants are sold in boxes of 8. What is the least number of boxes of 8 candles that Terry needs to buy?
Answer: 11
Steps
1. 100-15=85
2. 85/8=10.625
3. 10.625 rounds up to 11
Final answer:
Terry needs to buy at least 11 boxes of candles to meet her requirement of having at least 100 candles, as she must purchase whole boxes and not a fraction of a box.
Explanation:
Terry has 15 candles and needs a total of at least 100 candles. To find the least number of boxes she needs to buy, we should first find out how many more candles are required to reach a minimum of 100 candles:
100 - 15 = 85 candles needed.
Next, we calculate how many boxes of 8 candles this equates to by dividing the number needed by the number of candles per box:
85 ÷ 8 = 10.625.
Since Terry cannot buy a fraction of a box, we round up to the nearest whole number, which gives us 11 boxes.
Therefore, the least number of boxes Terry needs to buy is 11 to acquire at least 100 candles.
What is the slope of the line that passes through point (3,2) and point (6,11)?
Answer: 3
The work is shown in the attached sheet! :)
Answer:
slope is 3
Step-by-step explanation: