1.)Gcf of 89 and 76
[tex]gcf(89and76)[/tex]
2)step 2
[tex] = \frac{89 \times 76}{lcm(89and76)} [/tex]
3.)step 3
[tex] = \frac{6767}{6767} = 1[/tex]
4.)answer
[tex]1[/tex]
29 dekagrams equals 2900 what
Answer:
It equals 2900 decigrams
Step-by-step explanation:
29 dekagrams = 290 grams
290 grams = 2900 decigrams
Therefore, 29 dekagrams = 2900 decigrams
The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.
To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.
Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:
[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]
Cross-multiplying:
[tex]\(29x = 290 \times 1\)[/tex]
Solving for x:
[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]
Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.
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Complete Question:
If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?
please help me with this. thanks a lot
Answer:
Part A)
Approximately 318.1318 meters.
Part B)
Approximately 137.7551 meters.
Step-by-step explanation:
The path of a projectile is given by the equation:
[tex]\displaystyle y = \sqrt{3} x -\frac{49x^2}{9000}[/tex]
Part A)
The range of the projectile will be given by the difference between its starting point and landing point. In other words, its two zeros.
Let y = 0 and solve for x:
[tex]\displaystyle 0 = \sqrt{3}x - \frac{49x^2}{9000}[/tex]
Factor:
[tex]\displaystyle 0 = x\left(\sqrt{3} - \frac{49x}{9000}\right)[/tex]
Zero Product Property:
[tex]\displaystyle x = 0 \text{ or } \sqrt{3} - \frac{49x}{9000} = 0[/tex]
Solve for each case:
[tex]\displaystyle x = 0 \text{ or } x = \frac{9000\sqrt{3}}{49}\approx 318.1318[/tex]
Hence, the range of the projectile is approximately (318.1318 - 0) or 318.1318 meters.
Part B)
Since the equation is a quadratic, the maximum height is given by its vertex. Recall that the vertex of a quadratic is given by:
[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -49/9000 and b = √3.
Find the x-coordinate of the vertex:
[tex]\displaystyle x = - \frac{(\sqrt{3})}{2\left(\dfrac{-49}{9000}\right)} = \frac{4500\sqrt{3}}{49}[/tex]
Then the maximum height will be:
[tex]\displaystyle \displaystyle \begin{aligned} y\left(\frac{4500\sqrt{3}}{49}\right) &=\sqrt{3} \left(\frac{4500\sqrt{3}}{49}\right) -\frac{49\left(\dfrac{4500\sqrt{3}}{49}\right)^2}{9000} \\ \\ &= \frac{13500}{49} -\frac{6750}{49}\\ \\ &=\frac{6750}{49}\\ \\ &\approx 137.7551\text{ meters}\end{aligned}[/tex]
The maximum height reached by the projectile will be 137.7551 meters.
is x + 1 a factor of [tex]x^{4} +2x^{3} +2x^{2} -2x-3[/tex]?
Answer:
Yes.
Step-by-step explanation:
We want to determine if (x + 1) is a factor of the polynomial:
[tex]x^4 + 2x^3 + 2x^2 - 2x -3[/tex]
According to the Factor Theorem, if a binomial in the form (x - a) is a factor of a polynomial P(x), then P(a) must equal zero.
Our binomial factor is (x + 1) or (x - (-1)). Hence, a = -1.
Let our polynomial be P(x). Find P(-1):
[tex]\displaystyle\begin{aligned} P(-1) &= (-1)^4 + 2(-1)^3 +2(-1)^2 -2(-1) -3 \\&=0\end{aligned}[/tex]
Therefore, since the resulting value is indeed zero, (x + 1) is indeed a factor of the given polynomial.
In conclusion: yes.
Amy owes her mother $76. She pays her mother $14 on Sunday and $24 on Monday. Use an expression to describe the situation.
Answer:
$38
Step-by-step explanation:
$14+24=38 Amy pays her mom 38 dollars. :)
Can i have more details explanation about the ways to find the answers?
Answer:
I can't answer the B question, but I can answer the A question. First, you need to add 1/3, 1/4, and 5/8 by converting them into having the same denominators (24 is the best) and then subtracting them by 24/24 or the number of your choosing. That's how you find out how much he saves.
Step-by-step explanation:
What is the solution to the expression -2-3-(-4)?
-10 -9 8 7 6 5 4 3 -2 -1 0 1 2
3 4
5 6
+
8 9 10
7
O 5
Answer:
Umm, I believe your only correct answer for your equation above would be -1.
Step-by-step explanation:
Using the PEDMAS method:
-2 - 3= -5
= -5 - (-4)
-(-4) = 4
= -5 + 4
-5 + 4 = -1
So, your answer would be -1. Hope this helps!
how to Round 342.296269789 to 2 decimal places.
Answer:
342.30.
Step-by-step explanation:
The third decimal place is 6 so we round up the previous 2 dec places by 1
29 -->> 30 so it is 342.30.
(We round up if the next decimal place is 5 6 7 8 or 9)
3.1 = k - 1.9 solve for k
What happened is 10 times as much as 50
Answer:
the answer is 500!!
Step-by-step explanation:
10 x 50=500
Answer:
500
Step-by-step explanation:
50*10=500
50 into 10 equals 500
The length of a rectangle is 15 cm and the width is 8 cm which is the perimeter of the rectangle
Answer:
46 cm
Step-by-step explanation:
To calculate the perimeter of a rectangle, you have to add the length with itself then add the width with itself. After that, you add both of the sums together to get the answer. For this particular question, this is what you have to do.
1.Add the length with itself 15+15=30
2.Add the width with itself 8+8=16
3. Add both sums 30+16=46
In conclusion, the perimeter of the rectangle is 46 centimeters.
Find (fog)(x).
f(x) = -5x - 2
g(x) = -6x – 6
Write your answer as a polynomial in simplest form.
(fog)(x) =
Answer:
30x + 28
Step-by-step explanation:
To evaluate (f ￮ g)(x), substitute x = g(x) into f(x) , that is
f(g(x))
= f(- 6x - 6)
= - 5(- 6x - 6) - 2 ← distribute parenthesis and simplify
= 30x + 30 - 2
= 30x + 28
8.
Find the number of real number solutions for the equation. x2 – 10x + 25 = 0
A. 0
B. 1
C. 2
D. cannot be determined
Answer:
B. 1
Step-by-step explanation:
Answer:
Option B is correct
The number of real number solutions for the given equation is, 1.
Step-by-step explanation:
Given the equation:
Since, this is a quadratic equation of the form of
where a =1 , b = -10 and c =25.
The discriminant of a quadratic equation is,
then;
Discriminant = = (100-100) = 0
Since, a discriminant of zero means there is only one real solution for x.
Substitute the given values.
Simplify:
x = 5
Therefore, the number of real solution for the given equation is, 1
1. Gracie read "Burnt Norton," but not to the sounds of a Duke Ellington piano plece.
2. "East Coker" (which wasn't read by Devon) wasn't accompanied by either Duke
Ellington or Bela Bartok music.
3. The reading of "Little Gidding" was accompanied by Gregorian chants.
4. Cathy didn't read “East Coker" or "The Dry Salvages."
Answer:
Is this a story hmm mm i think
Four times Greg's age, decreased by 3 is equal to 3 times Greg's age increased by 7. How old is Greg?
O 9
O 11
O 10
O 8
Answer:
let Greg's age be X
therefore;
4X - 3 = 3X + 7
4X - 3X = 7 + 3
X = 10
Greg is 10 years old
hope it's helpful
Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?
Answer:
height is 4ft.
Step-by-step explanation:
I used pathagorus theorem .All explaination is in the pic below.
Choose the appropriate answer based on the given side lengths. 8 cm, 8 cm, 13 cm Equilateral Isosceles Scalene Does not make a triangle
Answer:
good night
sweet dreams
NEED ASAP DUE IN 1 HOUR
Please show work so I can see how to do it.
Answer:
a. D = R \ {13}
b. D = [-9;+∞)
D = R \ { [tex]\frac{-1}{2}[/tex] }
Step-by-step explanation:
a. 13 - x ≠ 0
x ≠ 13
D = R \ {13}
b. 9 + x ≥ 0
x ≥ -9
D = [-9;+∞)
c. 2x + 1 ≠ 0
x ≠ [tex]\frac{-1}{2}[/tex]
D = R \ { [tex]\frac{-1}{2}[/tex] }
if a = 3i - 4j, b = 2i - 5j and c = λi + μj
where λ and μ are scalar quantities, find the λ and μ such that λc = 2a + 3b
Answer:
hi,
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}a&=&3*\vec{i}-4\vec{j}\\b&=&2*\vec{i}-5\vec{j}\\c&=&\lambda*\vec{i}+\mu*\vec{j}\\\end{array}\right.\\\\\\\lambda*c=2a+3b\\=2*(3*\vec{i}-4\vec{j})+3*(2*\vec{i}-5\vec{j})\\=12*\vec{i}-23\vec{j}\\=\lambda*(\lambda*\vec{i}+\mu*\vec{j})\\\\\\\left\{\begin{array}{ccc}\lambda^2&=&12\\\lambda*\mu&=&-23\end{array}\right.\\\\\\\left\{\begin{array}{ccc}\lambda&=&2\sqrt{3}\\\mu&=&\dfrac{-23*\sqrt{3} }{6} \\\end{array}\right.\\[/tex]
A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.
Answer: 36π
Step-by-step explanation:
y = –3x – 5 ???
(–11, –2)
(–2, –11)
(–2, 1)
(1, –2)
Answer:
option c (-2,1)
Step-by-step explanation:
hope it helps u
Select the correct answer.
What is the value of xin 2(5x) = 14?
Answer: x= 1.4 or x=7/5
Step-by-step explanation:
2(5x)=14
Divide both sides by 2
5x=7
divide again this time both sides by 5 to solve for x
x=7/5 or 1.4 as a decimal
How do I solve this I wanna know so I can do the rest without help pls
x + 5 = 2
Answer:
-3
Step-by-step explanation:
move the constant to the other side and get
X = 2 - 5
and X = -3
The volume for a cylinder is ________, for a cone is _______, and for a sphere is_______
Here are the formulas
[tex]\boxed{\sf Volume_{(Cylinder)}=\pi r^2h}[/tex]
[tex]\boxed{\sf Volume_{(Cone)}=\dfrac{1}{3}\pi r^2h}[/tex]
[tex]\boxed{\sf Volume_{(Sphere)}=\dfrac{4}{3}\pi r^3}[/tex]
Answer:
The volume for a cylinder is πr2h, for a cone 1/3hπr², and for a sphere is 4/3πr³
Step-by-step explanation:
I hope this will help you
ruto is 12 years old.in three years time he will be ⅓ of his father present age.how old was his father 12 years ago
Answer:
He was 45 in present day. But 12 years ago, he was 33.
Step-by-step explanation:
12+3=15
15•3=45 (you multipply because if you use 1/3 you would have to divide 45 by 3.)
Hello :D
Ruto is currently 12 years old. In 3 years he will be 15. 1/3 is 15. 3/3 would be 45 years old. 45 - 12 = 33
The scatterplot to the left shows the cost, C, in thousands of dollars, and living space, z, in square feet (ft) for several houses in a certain neighborhood. According to the data, which of the following best approximates the cost for an additional square foot of living space for homes in this neighborhood?
The best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.
Since we are looking for an approximation of the cost for an additional square foot of living space, we need to find the slope of the line of best fit for the given scatterplot. The slope of the line represents the change in the cost of the house for every one unit increase in the living space, which in this case is one square foot.
From the scatterplot, we can see that as the living space increases, the cost of the house also increases, indicating a positive linear relationship. We can also see that there is a line of best fit that closely approximates this relationship.
To find the slope of the line of best fit, we can choose any two points on the line and calculate the change in the y-coordinate (the cost) divided by the change in the x-coordinate (the living space). One way to do this is to choose the two points where the line intersects the y-axis and the x-axis. From the scatterplot, we can estimate these points to be approximately (0, 200) and (1600, 0), respectively.
Using these two points, the slope of the line of best fit is:
slope = (change in y) / (change in x)
slope = (200 - 0) / (0 - 1600)
slope = -0.125
Therefore, the best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.
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is 3/8 bigger or smaller than 3/5
3/8 is smaller than 3/5.
3/8 is smaller than 3/5
Find the LCD of both fractions:
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, …
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, …
40 is the LCD of denominators 5 and 8.
Multiply both denominators by a number that makes it 40, multiply that same number by each numerator:
3/8:
3 x 5 = 15
8 x 5 = 40
15/40
3/5:
3 x 8 = 24
5 x 8 = 40
24/40
15/40 < 24/40
Hope this helps
3t + 4y + 5t
Anyone?
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{3t + 4y + 5t}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{(3t + 5t) + 4y}[/tex]
[tex]\huge\text{= 8t + 4y}[/tex]
[tex]\huge\text{Answer: \textsf{8t + 4y}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
8t + 4y
Step-by-step explanation:
First, we have to combine LIKE TERMS giving us (3t + 5t) + 4y.
We know that 3 + 5 = 8 so 3t + 5t must be 8t.
We still have the 4y left over so we get 8t + 4y. We cannot simplify this expression anymore
So, the answer is [tex]8t + 4y[/tex] as our answer.
(Hope this helped you!)
If f(0) = x2 + 2x – 10, what is f(-2)?
F(-2)
is
x2 + 2x
f(0)
=
x2
+
2x
-
10
Answer:
saiufhiuaewriufidnskjnckj
Step-by-step explanation:
sdibadlhjbvfjhbvfsdbhvfsdjh
please solve these questions it's important please
[tex] \frac{3 {a}^{2} - 9a}{ {a}^{2} - 9} = \frac{3a(a - 3)}{(a + 3)(a - 3)} = \frac{3a}{a + 3} [/tex]
c)[tex] \frac{ {y}^{2} - 3yz -4 {z}^{2} }{3 {y}^{2} - 12yz } = \frac{(y + z)(y - 4z)}{3y(y - 4z)} = \frac{y + z}{3y} [/tex]
d)[tex] \frac{ {d}^{2} + 4d + 4}{ {d}^{2} + 2d} = \frac{(d + 2)(d + 2)}{d(d + 2)} = \frac{d + 2}{d} [/tex]
e)[tex] \frac{5f - 15}{3 {f}^{2} - 13f + 12} = \frac{5(f - 3)}{(3f - 4)(f - 3)} = \frac{5}{3f - 4} [/tex]
I hope I helped you^_^