Answer:
-4
Step-by-step explanation:
We are given the equation:-
\( \displaystyle \large{x + Cy = \frac{1}{4} }\)
Since we wants to find the value of C that makes the line pass y-intercept which is -1/16.
When we talk about y-intercept, our x-value remains 0 and y-value remains any real number.
It can be expressed as (0,b) point where b is any real numbers.
What we have to do is to substitute (0,-1/16) or x = 0, y = -1/16 in the equation so we can find the value of C.
Thus:-
\( \displaystyle \large{x + Cy = \frac{1}{4} } \\ \displaystyle \large{0 + C( - \frac{1}{16} ) = \frac{1}{4} } \\ \displaystyle \large{ - \frac{ C}{16} = \frac{1}{4} }\)
Multiply both sides by GCF.
\( \displaystyle \large{ - \frac{ C}{16} = \frac{1}{4} } \\ \displaystyle \large{ - \frac{ C}{16} (16)= \frac{1}{4} (16)} \\ \displaystyle \large{ - C= 4 } \\ \displaystyle \large{ C= - 4 }\)
Therefore, C = -4
Lydia drew a regular hexagon. She divided it into 6 identical triangles, and measured the height of one of the triangles to be 4 inches. The area of the hexagon is 55.2 square inches. Find the length of each side of the hexagon.
Each side of the regular hexagon has a length of approximately 0.759 inches.
What is hexagon?
The closed polygonal shape of a regular hexagon has six equal sides and six equal angles. Any regular polygon has equal sides and angles on all sides.
We know that the area of a regular hexagon can be expressed as:
A = (3√3/2) s²
where A is the area of the hexagon and s is the length of each side of the hexagon.
In this case, we are given that the area of the hexagon is 55.2 square inches, so we can set up the following equation:
55.2 = (3√3/2) s²
To solve for s, we need to first solve for the height of one of the triangles, which is given as 4 inches. Since the hexagon is regular, each of the 6 triangles has the same height, so we can use the height to find the length of each side of the hexagon.
The height of a regular hexagon can be expressed as:
h = √3/2 s
where h is the height of each triangle and s is the length of each side of the hexagon.
In this case, we are given that the height of one of the triangles is 4 inches, so we can set up the following equation:
4 = √3/2 s
Solving for s, we get:
s = 8/√3
Now we can substitute this value of s into the equation for the area of the hexagon to solve for s:
55.2 = (3√3/2) (8/√3)²
55.2 = (3√3/2) (64/3)
55.2 = 32√3
s = √(55.2/32√3)
s = √(55.2/96)
s = √0.575
s ≈ 0.759 inches
Therefore, each side of the regular hexagon has a length of approximately 0.759 inches.
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What reason can be used to complete this proof?
m∠1=m∠3 because ∠1≅∠3.
m∠1+m∠2=m∠CXB and m∠2+m∠3=m∠AXD _________.
m∠1+m∠2=m∠AXD because you can substitute m∠1 for m∠3.
m∠CXB=m∠AXD by the transitive property of equality.
So, ∠AXD≅∠CXB.
Answer:
Option (2)
Step-by-step explanation:
Given:
∠1 ≅ ∠3
To Prove:
∠AXD ≅ ∠CXB
Solution:
Given question is incomplete; find the complete question in the attachment.
Statements Reasons
1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3 1). Given
2). m∠1 + m∠2 = m∠CXB and
m∠2 + m∠3 = m∠AXD 2). Angle addition postulate
3). m∠1 + m∠2 = m∠AXD 3). Because you can substitute
m∠1 for m∠3
4). m∠CXB = m∠AXD 4).Transitive property of equality
5). ∠AXD ≅ ∠CXB
Therefore, Option (2) will be the correct option.
Touch base for some math nomenclatures. Optimize to 1 to 1 and use all if there are 1 to more connections.
1. An equation for electric current
2. An equation for a linear curve
3. A constant
4. A 1st order differential equation
5. A 2nd order differential equation
6. An ordinary differential equation (1st order)
7. A partial differential equation
8. An integration equation
A. Y = 8x + 6
B. I = V/R
C. y = 8x + 6
D. y' - 8x - 6 = 0
E. 12.23154687854
F. 100 y = (8x + 6)dx
G. dz = 8xdx + 8dy
H. y" = 8
Answer:
1 - B
2 - A, C
3 - E
4 - D
5 - H
6 - D
7 - None
8 - F, G
Step-by-step explanation:
1. We know the equation that :
\(V = I \times R\)
Where V is the voltage
I is the Electric Current and
R is the resistance
So,
\(I = \dfrac{V}{R}\)
2. An equation of a linear curve is represented as:
y = mx+c or
Y = mX+C
So, the correct matches are:
A. Y = 8x + 6
and
C. y = 8x + 6
3. A constant:
The constant expression as in options is:
E. 12.23154687854
4. 1st order differential equation is the equation in which there is differentiation done once.
\(y'\) or \(\dfrac{dy}{dx}\) are used to represent it.
So, correct option is D. y' - 8x - 6 = 0
5. A 2nd order differential equation is the equation in which there is differentiation done once.
\(y''\) or \(\dfrac{d^2y}{dx^2}\) are used to represent it.
So, correct option is H. y" = 8
6. An ordinary differential equation (1st order)
Same as answer to part 4.
\(y'\) or \(\dfrac{dy}{dx}\) are used to represent it.
So, correct option is D. y' - 8x - 6 = 0
7. A partial differential equation is an equation that contains a term represented as:
\(\dfrac{\partial y}{\partial x}\)
but there is no such term given here, so no option matches.
8. An integration equation:
The correct options are F and G.
F. \(100 y = \int(8x + 6)dx\)
G. \(\int dz = \int 8xdx + \int 8dy\)
Emily wants to buy carrots and leeks for a stew, but she only has $10.00 with her. At the store, carrots are marked at $1.00 per pound, and leeks are marked at $2.00 per pound.
If c represents the number of carrots and k represents the number of leeks, select the inequality and the graph that model this situation.
c + 2k ≥ 10
2c + k ≤ 10
c + 2k ≤ 10
Inequalities help us to compare two unequal expressions. The inequality that model this situation is 1c + 2k ≤ 10. The correct option is C.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Let c represents the number of carrots and k represents the number of leeks.
Given that At the store, carrots are marked at $1.00 per pound, and leeks are marked at $2.00 per pound. Therefore, the total cost can be written as,
1c + 2k
Also, it is given that Emily wants to buy carrots and leeks for a stew, but she only has $10.00 with her. Therefore, she must spend $10 or less than that.
Thus, the inequality can be written as,
1c + 2k ≤ 10
The graph of the given inequality can be made as shown below.
Hence, the inequality that model this situation is 1c + 2k ≤ 10.
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can someone solve these for me?? URGENT
Help quickly as possible thank you :)
Answer:
im pretty sure it 1641 square miles
The regular pentagon shown is rotated clockwise about center point P.
●P
Choose all degrees of rotation that will carry the regular pentagon onto itself.
A. 72°
B. 90°
C. 108°
D. 144°
E. 216°
Answer:
A. 72°
D. 144°
E. 216°
Step-by-step explanation:
are you tempted to calculate the internal angles ?
that is, I guess, the trap set by your teacher here, and it would be the wrong approach.
nevertheless, quickly just as a reminder :
the sum of all internal angles in a polygon is
(n - 2)×180°
n being the number of sides.
in our case that is
(5 - 2)×180 = 3×180 = 540°
so, each internal angle is 540/5 = 108°.
but we are not turning at an edge or vertex. no, we are turning the pentagon around is central point.
we are running each vertex along a circle arc. the center of that circle being P.
after every 1/5 of the circle arc there is a vertex of the pentagon.
and whenever we rotate one vertex on top of the next one, we carry the pentagon visually onto itself.
so, instead of a full circle rotation we need only 1/5 of that :
360 / 5 = 72°
and with every additional 1/5 of the circle arc (or 72°) we get it again.
that means at
72°
144°
216°
288°
360°
the pentagon carries onto itself.
therefore, A, D and E are correct.
what is the correct evaluation of 3x-x+2,when x is equal to -4?
14
-6
6
-14
Answer:
The answer is -6.
Step-by-step explanation:
You have to substitute x = -4 into the expressions :
3x - x + 2
= 3(-4) - (-4) + 2
= -12 + 4 + 2
= -6
6. A shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandals. Write an expression for the total amount of sales the store makes.
The expression for the total amount of sales the store makes will be:25s + 28.8p
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.
Let sneakers = s
Let sandals = p
An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).
= 25s + 28.8p
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Cara evaluated the expression below. (4(7-13))÷3+(-4)²-2(6-2) =(28-13)÷3+(-4)²-2(4) =15÷3+16-8 =5+16-8 =13 What was Cara’s error? Cara multiplied only 4 and 7 together and did not multiply 4 and 13. Cara evaluated (Negative 4) squared incorrectly. Cara subtracted 2 from 6 incorrectly. Cara multiplied 2 and 4 incorrectly.
Answer:
the answer is the first one, Cara multiplied only 4 and 7 together and did not multiply 4 and 13
Step-by-step explanation:
if you look through the question you can see that Cara evaluated the (-4)^2 correctly because a negative multiplied by a negative gives you a positive thus (-4)*(-4)= 16, then next you can see that Cara subtracted 2 from 6 correctly because (6-2)= (4), and last but not least Cara did multiply 2 by 4 correctly because 2*4 or 2(4) =8 so as you can see the answer is the first one
Answer:
A is correct answer
Step-by-step explanation:
I only have today to get help.... please answer if you can I dont know what my professor is asking. ( we just learned about charts) You and a friend are discussing the good news that the annual number of deaths due to a certain disease has been decreasing over the last decade. Your friend says that it is even more encouraging that the rate of decrease of this annual number is also decreasing. How would you reply?
Solve for x.
Show work
Answer:
x=11.34
Step-by-step explanation:
What angle is formed by BA and BG?
Angle formed by BA and BG is ∠ABG.
What is Coordinate System?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
The angle formed by both the rays BA and BG is angle ABG.
The two rays are called the sides of an angle, and the common endpoint is called the vertex.
In the given angle B is the vertex.
Hence, angle formed by BA and BG is ∠ABG.
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Name the characteristics a shape has to have to be defined as the following
quadriatera
Triangle
square
Answer:
A quadrilateral is a shape that has four straight sides and four angles.
A triangle is a shape that has three straight sides and three angles.
A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.
The last time it placed an order for ingredients, Sweet Treats Bakery ordered 9,450 kilograms of sugar. This time, the bakery is ordering 52% more sugar. How much sugar is that?
Answer:
Sweet Treats Bakery is ordering 14,364 kilograms of sugar this time.
Step-by-step explanation:
To find the amount of sugar that Sweet Treats Bakery is ordering this time, we need to add 52% more sugar to the previous amount of 9,450 kilograms.
We can start by finding what 52% of 9,450 is:
52% of 9,450 = 0.52 * 9,450 = 4,914
This means that Sweet Treats Bakery is ordering an additional 4,914 kilograms of sugar.
To find the total amount of sugar that the bakery is ordering, we can add this amount to the previous amount of 9,450:
total amount of sugar = previous amount + additional amount
total amount of sugar = 9,450 + 4,914
total amount of sugar = 14,364
Therefore, Sweet Treats Bakery is ordering 14,364 kilograms of sugar this time.
PLEASE HELPPP!!!! DUE IN 2 HOURSS!!!!!
Answer:
38 million
Step-by-step explanation:
You want the current value of Algeria's population according to the model P = 38(1+r)^t. (P is in millions.)
Initial valueWe generally assume that the "initial value" of a function is the y-intercept of its graph, the value when the independent variable is zero.
When the function is predicting into the future, we usually take the "current value" and the "initial value" to be the same thing, unless the description of the model tells you otherwise.
Here, that is ...
P = 38(1 +r)^0 = 38·1 = 38 . . . . . millions
The current population is 38 million.
__
Additional comment
Any expression to the zero power has a value of 1.
Solve. d + (-d) =
• 0
• 2d
• -2d
• d
Answer:
0
Step-by-step explanation:
When adding a negative, just get rid of the negative and subtract.
D-d=0
You give a test to 100 students and determine the standard deviation of the scores. After grading the test, you realize that the 10 students with the highest scores did exceptionally well. You decide to award these 10 students a bonus of 5 more points each. The standard deviation of the new score distribution will be _______________________(less than, greater than or the same as) that of the original score distribution
Answer:
greater than
Step-by-step explanation:
The standard deviation of a distribution σ = \(\sqrt{sum(x - mean)^2/ n}\)
where x is the score of each student
Adding 5 to 10 student scores would be = x+5 - mean
increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.
A student is using the elimination method to solve the system of equations below. What is the best first
step?
4x - 5y = 2
2x + y = -3
Answer:
The best first step would be to multiply the second equation by -2
Step-by-step explanation:
The best first step would be to multiply the second equation by -2
then you would have the following
\(\ \ \ \ \ \ 4x - 5y = 2 \\-2*(2x)+ (-2)*y = (-2)*3\)
and when you multiply it is easy to eliminate because you will get
\(4x - 5y = 2 \\-4x -2y = 6\)
and if you sum the equations you get
-7y = 8
so that is a single variable equation which is easier to solve.
PLEASE HELP (WILL GIVE BRAINLIEST)
Answer:
\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)
V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters
The closest answer is 1,001.73 square meters.
y+4x=2 in slope intercept form
Answer: y=-4x+2
Step-by-step explanation: You have to get Y by itself so you subtract 4x from the right and you get -4x+2 with Y by itself
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
which one of the following is a solution to |2x-1|>3 A.2, B.-1, C.-2, D.1, E.None of these
Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
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The table shows the prices for the same cereal, sold in different weights. Which size box is the best buy, in terms of price per ounce?
A. 9 oz
B.18 oz
C.28 oz
D.38 oz
Answer:
c
Step-by-step explanation:
ESPERO TE A YDUE :)
SOMEONE ANYONE PLEASE HELP!!!
The graph of g(x) is obtained from the graph of f(x) by the following transformations:
- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).
- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).
In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.
Here is a more detailed explanation of the transformations:
- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).
- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).
Descartes has 6 large boxes with
48 party favors in each box and
5 small boxes with 16 party favors in
each box. He puts 15 favors in each
gift basket. How many baskets
does he make? Explain.
The number of gift basket with 15 favors in each is 24.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Descartes has 6 large boxes with 48 party favors in each box
So, the number of favors =6×48
= 288
5 small boxes with 16 party favors in each box
So, the number of favors =5×16
= 80
Total number of favors =288+80
= 368
He puts 15 favors in each gift basket
Then, number of gift basket
= 368/15
= 24.5
Therefore, number of gift baskets he can make is 24.
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How would you type the answer for GE as in picture for an edpuzzle answer ? What does the check mark symbol mean ?
Based on the image attached, the solution for GE is approximately 22.72.
What is the expression ?To be able to solve the equation √129 + √129 = GE, one need to simplify the expression and then isolate GE.
Step 1: One can add the square roots:
Note that the equation:
√129 + √129 = GE.
Step 2: Do put together the square root terms:
2√129 = GE.
Step 3: Then Divide by 2:
√129 = GE/2.
Step 4: The Square both sides:
129 = (GE²)/4.
Step 5: So, Multiply by 4:
516 = GE².
Lastly, Take the square root:
√516 = √(GE²)
√516 = GE
GE = 22.72. approx.
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See text below
Step 26
Solve the equation for GE:
√129+√129 = GE
GE=2/129
Show steps
I already know the answer but the worksheet doesn't give an explanation. that is the only thing I need.
======================================================
Explanation:
Let,
x = measure of angle CAP = measure of angle PABy = measure of angle CBP = measure of angle PBAThese equations are valid because segment AP bisects the angle CAB, i.e. it splits it into two equal pieces. Similarly, segment BP bisects angle ABC.
Then we can say,
x+x = 2x = measure of angle CABy+y = 2y = measure of angle CBALet's focus on triangle CAB. The three interior angles add to 180 degrees. This is true of any triangle.
(angleCAB)+(angleCBA)+(angleACB) = 180
(2x) + (2y) + (44) = 180
2x+2y+44 = 180
2(x+y+22) = 180
x+y+22 = 180/2
x+y+22 = 90
x+y = 90-22
x+y = 68
Normally we would try to isolate one variable, but I'll stop here. We'll use this later in the next section.
--------------------
Now focus your attention on triangle PAB.
The three interior angles add to 180.
(anglePAB)+(angleABP)+(angleAPB) = 180
(x)+(y)+(z) = 180
x+y+z = 180
(x+y)+z = 180
68+z = 180 .... replace "x+y" with 68
z = 180-68
z = 112 degrees is the measure of angle APB.
HELP HELP HELP PLEASE
Answer:
Step-by-step explanation:
it is true