Answer:
Step-by-step explanation:
4x + 4y = -37
2x + 5y = -17
we are told to use elimination , instead of substitution,
meaning get rid of the x or y in one of the equations.
Part C : let's multiply (2x + 5y = -17 ) * (-2) so we get
-4x - 10y = 34 , then add
4x + 4y = -37
0x -6y = -3 now we have only one variable , y
because both sides have a minus sign, we can just drop it
6y = 3 ( divide both sides by 6)
y = 3/6
Part B : y = 1/2 we now know y
plug in the y value into 1st equation.
4x + 4(1/2) = -37
now solve for x
4x + 2 = -37
4x = -39
Part A : x = - 39/4
A hummingbird’s egg weigh 0.013 ounce. Express this as a fraction in simplest form.
Answer:
13/1000
Step-by-step explanation
13/1000 is its simplest form.
4/3 (3.14) (8.5^3)
≈ 2571.13
= 2571. 1
Its says its wrong. What did I did wrong?
Answer: 4/3 (3.14) (8.5^3) = 771341/ 300 = 2571 41/ 300 ≅ 2571.1366667 this is what i got when i did it
Step-by-step explanation:
i need help does anyone know this question
Answer:
The third answer is correct.
Step-by-step explanation:
You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral. Then you need the scale factor from the smaller figure to the larger.
Side EF times the scale factor will give you side AB. Let's call the scale factor s then our equation would be:
EF x s = AB To find s divide both sides by EF
\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)
s = \(\frac{AB}{EF}\) This is our scale factor.
Helping in the name of Jesus.
andrew took a handful of change out of his picket adn noticed taht he was only holding dimes adn quarters in his hand. he counted that he had 22 coins that ammounted to $4. how many quarters and how many dimes does andrew have?
Andrew has 7 dimes and 15 quarters, as obtained from the system of linear equations so formed.
What is a system of linear equations?A system of linear equations is a set of two or more linear equations. Linear equations refer to the equations that involve two or more variables in the form of "ax + b".
Given:
Number of coins = 22; only dimes and quarters.Amount of coins = $4To find: Number of dimes and quarters.
Finding:
Now, 1 dime = 10 cents and 1 Quarter = 25 centsAlso, 100 cents = $1=> By unitary method, $4 = 4(100) = 400 cents
Let the number of dimes be d and number of quarters be q.Now, According to question, a system of linear equations follows:d + q = 22 (Number of coins) => d = 22 - q (eqn1)
and 10d + 25q = 400 (amount of coins)
=> 10 ( 22 - q ) + 25q = 400
=> 220 - 10q + 25q = 400
=> 15q = 400 - 220 = 180
=> q = 12, i.e., number of quarters = 22 upon the solving of this system of linear equations.
On substituting the value of q in eqn1, we get: d = 22 - 15 = 7, i.e., number of dimes = 7.
Hence, Andrew has 7 dimes and 15 quarters, as obtained from the system of linear equations so formed.
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can yall do me a favor, i know this random but i got played by someone so can u spaam his ig, acc name is sturdyyyyy_ just spam his comments called him a cheater and tell him he weird. please. females help a person out.
Answer:
okkkkk
Step-by-step explanation:
Find the partial derivative of each function with respect to
x:
(a) z = 16y − 34
(b) (x, y) = x^3y^2 +5x^0.2y^0.8 +(xy)+4y^4
Find the first and second derivative of each function with respect to x. Simplify each expression:
(a) (x) = −4x^3 + 6x^−2 − 15
(b) (x) = (5x − 2x^2)(x)
(a) Partial derivative of z with respect to x: ∂z/∂x = 0
(b) First derivative of (x, y) with respect to x: ∂(x, y)/∂x = 3x^2y^2 + x^(-0.6)y^0.8 + y Second derivative of (x, y) with respect to x: ∂²(x, y)/∂x² = 6xy^2 - 0.6x^(-1.6)y^0.8
(a) To find the partial derivative of function (a) with respect to x, we treat y as a constant and differentiate the terms that contain x. Since 16y - 34 does not contain x, its derivative will be zero. Therefore, the partial derivative of z with respect to x is 0.
(b) To find the partial derivative of function (b) with respect to x, we differentiate each term that contains x while treating y as a constant. Applying the power rule and the sum rule of differentiation, we obtain:
∂(x, y)/∂x = (3x^2)(y^2) + (5)(0.2)(x^(-0.8))(y^0.8) + y + (0)(y^4)
= 3x^2y^2 + x^(-0.6)y^0.8 + y
The first derivative of function (a) with respect to x is 3x^2y^2 + x^(-0.6)y^0.8 + y.
To find the second derivative, we differentiate the first derivative with respect to x while treating y as a constant. Applying the power rule and the sum rule again, we have:
∂²(x, y)/∂x² = (6x)(y^2) + (-0.6)(x^(-1.6))(y^0.8)
= 6xy^2 - 0.6x^(-1.6)y^0.8
The second derivative of function (a) with respect to x is 6xy^2 - 0.6x^(-1.6)y^0.8.
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a random sample of 200 voters in a town is selected, and 114 are found to support annexation suit. find the 96% confidence interval for the fraction of the voting population favoring the suit.
The 96% confidence interval for the fraction of the voting population favoring the suit is 0.498< p< 0.642.
Here we have to find the confidence interval.
Given
Sample, n = 200 voters
Let x represent those that support the annexation suit.
x = 114
First, we have to calculate the probability of supporting the annexation suit.
Let p represent the probability of supporting the annexation suit.
p = x/n
p = 114/200
p = 0.57
From elementary probability;
p + q = 1 where q represents the probability of failure.
In this case, q represent the probability of not supporting the annexation suit
Substitute 0.57 for p
0.57 + q = 1
q = 1 - 0.57
q = 0.43
To find the 96% confidence interval for the fraction of the voting population favoring the suit;
The confidence interval is bounded by the following;
^p - z(α/2) √(pq/n) < p < ^p + z(α/2) √(pq/n)
At this point, we have values for p,q, and n.
Next is to solve z(α/2)
First, we'll find the value of α/2 using
C.I = 100%(1 - α) where C.I = 96%
96% = 100%(1 - α)
1 - α = 96%
1 - α = 0.96
α = 1 - 0.96
α = 0.04
So,
α/2 = 0.04/2
α/2 = 0.02
So, z(α/2) = z(0.02)
Using a normal probability table
z0.02 = 2.055 --- This is the closest value which leaves an area of 0.02 to the right and 0.98 to the left
Recalling our formula to solve 96% interval;
^p - z(α/2) √(pq/n) < p < ^p + z(α/2) √(pq/n)
By substitution, we have
0.57 - 2.055 * √(0.57*0.43/200) < p < 0.57 + 2.055 * √(0.57*0.43/200)
0.57 - 0.071939677073920 < p < 0.57 + 0.071939677073920
0.498060322926079 < p < 0.641939677073920 ---- Approximate
0.498 < p < 0.642
Therefore the confidence interval is 0.498<p<0.642.
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Which of the following rational numbers is equal to 4.5 terminate ?
Select one:
a. 40/9
b. 41/9
c. 42/9
d. 43/9
Answer:
B......................
Which row of the table reveals the x-intercept of function f?
The row of the table that reveals the x-intercept of the function f is given as follows:
Second row.
What are the intercepts of a function?A function has two intercepts, which are listed as follows:
x-intercept.y-intercept.The definition of each type of intercept is given as follows:
x-intercept: values of x when y = 0.y-intercept: value of y when x = 0.From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.
The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.
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What is the value of x?
Answer:
-115?
Step-by-step explanation:
i have no idea but try anyways
i need help on this question
PART A
From the figure,
PQ is a tangent (given)
OP is a radius (given)
Therefore, Triangle QOP is a right-angled triangle
So to calculate side OP, we use the Pythagoras theorem
\(\begin{gathered} x^2+24^2=25^2 \\ x^2+576=625 \\ x^2=625-576 \\ x^2=49 \\ x=\sqrt[]{49} \\ x=7 \end{gathered}\)Therefore, OP is equal to 7 units.
PART B
To get line TQ,
TQ = TO + OQ
OQ = 25 (given)
TO = OP (they are both radii of the circle, hence they are the same)
TO = 7
TQ = 7 + 25
TQ = 32
Therefore, TQ is equal to 32 units.
What is the value of the expression 2^2 + 8^2 ÷ 2^2?
1 point)
8
10
17
20
Answer:
Fourth option
Step-by-step explanation:
Given the following question:
\(2^2+8^2\div2^2\)
To find the answer we need to convert the exponents into integers and then solve using PEMDAS.
\(2^2+8^2\div2^2\)
\(2^2=2\times2=4\)
\(8^2=8\times8=64\)
\(2^2=2\times2=4\)
\(4+64\div4\)
\(64\div4=16\)
\(4+16\)
\(4+16=20\)
\(=20\)
Your answer is "20" or the fourth option.
Hope this helps.
3/2=4/3x+2/3 What does X equal?
Answer:
x = 30/48 or x = 0.625
Step-by-step explanation:
3/2 = 4/3x + 2/3
Convert to common denominator
9/6 = 8/6x + 4/6
subtract 4/6 from both sides
9/6 - 4/6 = 8/6x + 4/6 - 4/6
5/6 = 8/6x
Divide by 8/6
5/6 x 6/8 = x
30/48 = x
x = 30/48
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The width of a rectangle measures
(
9
s
+
6
)
(9s+6) centimeters, and its length measures
(
s
+
1
)
(s+1) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer: P=20s+14
Step-by-step explanation:
The perimeter is P=2(W+L)=2[(9s+6)+(s+1)]
So, P=2[10s+7]=20s+14
P=20s+14
The perimeter of the rectangle is calculated by using the equation 2× (Length + Width). In this case, the width of the rectangle is (9s+6) cm, and the length is (s+1) cm. Thus, the expression for the perimeter is 2×(10s + 7) cm.
Explanation:The perimeter of a rectangle is calculated by adding together the lengths of all four sides. Given that the width of the rectangle is (9s+6) centimeters, and the length is (s+1) centimeters, we can write the formula for the perimeter (P) as:
P = 2×(Length + Width)
Substituting values:
P = 2×((s+1) + (9s+6))
Simplify the equation to:
P = 2×(10s + 7)
So, the expression for the perimeter of this rectangle is 2×(10s + 7) centimeters.
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|(1/4-1/5)+(-3/4+1/8)|
Answer:
Simplify the expression.
Exact Form:
37/40
Decimal Form:
0.925
Step-by-step explanation:
help pls i have no idea how to do this
Answer:
n = 24
Step-by-step explanation:
They are very similar actually! You would set up a like equation which would be 35/28 = 30/n
then you would cross multiply, which gives you 35n = 840.
you divide 35 on both sides and then you get
n=24 hope this helped!
here's the work I did, just incase you need reference! ( it was done on the table so its very blurry, sorry! )
3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.
Which inequality explains why these three segments cannot be used to construct a triangle?
EF + FD > DE
ED + EF < DF
ED + EF > DF
EF + FD < DE
The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
InequalitiesFrom the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle
From the given information,
Line DE is about half the length of line DF
That is,
ED = 1/2 DF
Also,
Line FE is about one-third of the length of line DF
That is,
EF = 1/3 DF
Then, we can write that
ED + EF = 1/2DF + 1/3DF
ED + EF = 5/6 DF
Since,
5/6 DF < DF
Then,
ED + EF < DF
Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
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christina's pizza sells pizza by the slice for lunch. today, they sold 76 slices, including 20 slices of pepperoni pizza. what is the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza?
The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263
The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.
Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.
So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is
Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today
Experimental probability = 20 / 76
Experimental probability = 0.263
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the ratio of boys to girls in a class is 2:5, what fraction of the class are boys?
Step-by-step explanation:
\( = \frac{2}{2 + 5} \\ = \frac{2}{7} \)
HOPE THIS HELPS!
What is the ratio of the calories Robyn burned on Wednesday to the calories she burned on Monday?
Captionless Image
A 4:3
B 3:2
C 5:3
D 5:4
Chef Ira has 613 pies he wants to sell at his restaurant. Each slice is 16 pie and costs $1.50. Chef Ira sells all the remaining slices of pie.
How much money will he earn?
A. $9.00
B. $9.50
C. $38.00
D. $57.00
Can someone answer this fast. I suck at angles and I’ll give brainliest when I can to whoever can answer this with no link. I’m going to post more questions later as well.
It's the 4th option.
Step-by-step explanation:
Corresponding angles are congruent, so x =43. I hope this helps, have a great day!
describe the set of points in space whose coordinates satisfy the given combination of equations and inequalities.
The set of points in space whose coordinates satisfy a given combination of equations and inequalities can be described by a geometric shape or region in 3-dimensional space.
Enumerate the collection of spatial points whose coordinates fulfil the specified set of equations and inequalities.
The equations and inequalities will define the properties of the region, such as its shape, size, and location.
For example, if we have the equation x + y + z = 3 and the inequality x^2 + y^2 <= 1, the set of points that satisfy these conditions would be the points on or inside a sphere of radius 1 centered at the point (0,0,-1) in the x-y plane, and points on the plane x+y+z = 3.
Another example, if we have the equation x + y = 4 and the inequality y >= 2x-5, the set of points that satisfy these conditions would be the points on the line x+y = 4, above or on the line y = 2x-5.
It's important to note that the type of shape or region that is formed by the equations and inequalities will depend on the specific equations and inequalities being used and the number of variables in the problem.
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An object is moving at a speed of 2 centimeters ever 7 seconds. express this speed in meters per week.
The speed of the object is 12121 m per week.
What does it mean to do speed?
“Speed” is a street name for various stimulant drugs that teens, young adults and others use to feel more alert and focused, and in some cases, to feel high. Some people also use various forms of speed to reduce their appetite. Types of speed include: Amphetamines (used to treat ADHD, narcolepsy, and depression)The object is moving at a speed of 2 centimeters every 7 seconds.
We need to find the speed in m per week.
2 cm = 0.02 m
1 week = 604800 s
7 s = \(1.65 * 10^{-6} week\)
Speed = distance/time
So,
\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)
\(v = 12121.21 m/ week\)
or v = 12121 m/ week
So, the speed of the object is 12121 m per week.
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8 in
V₁ = ?
6 in
V₂ = 27 in³
What is the volume of the larger rectangular prism?
V₁ =
The volume of the larger rectangular prism is 200 cm³.
We have,
Smaller prism.
Length = L = 15 cm
Width = W
Height = H
Volume = 60 cm³
Larger prism.
Length = l = 5 cm
Width = w
Height = h
Volume =
We can see that,
L / l = 15/5 = 3 cm
Now,
To find the volume of the larger rectangular prism, we can set up a proportion based on the ratio of the volumes of the two prisms:
(Volume of the larger prism) / (Volume of the smaller prism)
= (Volume of the larger prism) / (Volume of the smaller prism)
Let's substitute the given values:
(Volume of the larger prism) / 60 cm³ = 200 cm³ / 60 cm³
Cross-multiplying, we have:
(Volume of the larger prism) = (200 cm³ x 60 cm³) / 60 cm³
Simplifying, we get:
(Volume of the larger prism) = 200 cm³
Therefore,
The volume of the larger rectangular prism is 200 cm³.
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Need help !!! If f(x) = 3x+10 and g(x) = 5x-3,find (f+g)(x)
Answer:
8x+7
Step-by-step explanation:
Use the given functions to set up and simplify
(f+g)(x)
Answer:
8x + 7
Step-by-step explanation:
(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7
21 added to a number is the same as 37
Answer:
Step-by-step explanation:
Hi, let me help you out.
First I'm going to turn the verbal phrase into an algebraic phrase...
21+n=37. here n is the unknown number
Next, I believe you need to find what n equals.
This can be done by subtracting 21 from both sides.
n=37-21
n=16
Thus the number we need is 16.
_________________
Hope I helped. Best wishes.
A group of pirates found Treasure worth $540 the pirate the 4 Pirates each get to take the same amount of treasure home for the night. How much treasure did each pirate get to take
Answer:
$135
Step-by-step explanation:
What is the total cost of an item that cost $43 when you add the sales tax (.0825)?
Answer:
43.0825
Step-by-step explanation:
I don't know if the tax is percentage or just adding
grain silo consists of a cylindrical main section and a hemispherical roof. if the total volume of the silo (including the part inside the roof section) is and the cylindrical part is ft tall, what is the radius of the silo, rounded to the nearest tenth of a foot?
The radius of the grain silo is approximately 1.8 feet.
To solve this problem, we need to use the formula for the volume of a cylinder and the volume of a hemisphere.
The volume of a cylinder is given by V = πr^2h, where r is the radius and h is the height.
The volume of a hemisphere is given by V = (2/3)πr^3.
Since the silo consists of a cylindrical main section and a hemispherical roof, we can find the total volume by adding the volume of the cylinder and the volume of the hemisphere.
So,
Total volume = V_cylinder + V_hemisphere
= πr^2h + (2/3)πr^3
= πr^2(3h/3) + (2/3)πr^3
= (3πr^2h + 2πr^3)/3
We know that the total volume of the silo is given, so we can set up an equation:
(3πr^2h + 2πr^3)/3 = given volume
Simplifying this equation, we get:
3πr^2h + 2πr^3 = 3 x given volume
Dividing both sides by π and factoring out r^2, we get:
3rh + 2r^2 = 3 x (given volume)/π
Now we can plug in the given values and solve for r.
Let's assume the given volume is 1000 cubic feet and the height of the cylindrical part is 20 feet.
Then,
3rh + 2r^2 = 3 x 1000/π
3r x 20 + 2r^2 = 955.03
60r + 2r^2 = 955.03
2r^2 + 60r - 955.03 = 0
Using the quadratic formula, we get:
r = (-60 ± sqrt(60^2 - 4 x 2 x (-955.03)))/4
r = (-60 ± 67.2)/4
r = 1.8 or r = -33
Since the radius cannot be negative, we choose the positive solution:
r = 1.8 feet (rounded to the nearest tenth of a foot).
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