The fraction of the total amount of ingredients that is neither fruit nor yogurt is 0.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The total fraction of all the ingredients are given as follows:
100% = 1.
The ingredients, along with their fractions, are given as follows:
Fruits: 2/3.
Yogurt: half of fruit = 2/3 x 1/2 = 2/6 = 1/3.
So the percentage contained fruit or yogurt is given as follows:
2/3 + 1/3 = 3/3 = 1 = 100%.
There are only two components in the recipe, fruit, and yogurt, so the amount of ingredients that is neither fruit nor yogurt is 0.
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A particle moves from Point B to Point A along a line connecting the two points. Find the angle, 0, traveled by the particle with respect to the horizontal.
B (0,4 m)
A (4 m, 0)
A) 0-45° above the horizontal
B) 0-45° below the horizontal
C) 0 135° above the horizontal
D) 0-135° below the horizontal
The angle between Point B and Point A is 0-45° below the horizontal.
The Law of CosinesThis can be determined by finding the slope between the two points.The slope of a line is defined as the change in the y-coordinate divided by the change in the x-coordinate.In this case, the change in the y-coordinate is 4 m and the change in the x-coordinate is 4 m as well.This gives a slope of -1, which is 45° below the horizontal.Therefore, the angle traveled by the particle with respect to the horizontal is 0-45° below the horizontal.It is important to note that the angle is not 0-135° below the horizontal since the angle is calculated with respect to the horizontal and not the vertical.The result of this calculation is cos(0-135°) = -1, which tells us that the angle between the two vectors is 0-135° below the horizontal.To learn more about the Law of Cosines refer to:
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ANSWER ASAP PLEASEEE
Step-by-step explanation:
the solution is their intersection point. it means that at this point they are equal, they share the same "behavior".
so,
one solution at (2, -1)
what is 0.03% of 1500?
Write an algebraic expression for 5 plus a number p?
p+5 is the algebraic expression for 5 plus a number p
What is Expression?An expression is combination of variables, numbers and operators.
The given sentence is 5 plus a number p
In the given sentence the number p is a variable.
variable is a symbol used to represent a number.
algebraic expression for 5 plus a number p
p+5
Hence, p+5 is the algebraic expression for 5 plus a number p
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solve for x, y=a/sqrt4x-b
For the given expression, y = a/√4x-b, the range for values of x is, ( -∞, b/4) ( b/4, ∞)
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression, y = a/√4x-b
by comparing denominator equal to zero,
⇒ 4x - b = 0
⇒ x = b/4
It will be defined for all the values of x, except, x = b/4
So, the given expression will give definite value for this interval,
x ∈ ( -∞, b/4) , x ∈ ( b/4, ∞)
Hence, The range of values of x is ( -∞, b/4) ( b/4, ∞)
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The proportional relationship between the number of songs Nachelle downloads, s, and the total cost in dollars and cents, c, can be represented by the equation c=1.19sc=1.19s. How much does it cost to download a single song?
1.19 is the cost to download a single song.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that The proportional relationship between the number of songs Nachelle downloads, s, and the total cost in dollars and cents, c, can be represented by the equation c=1.19s
c equal to one point one nine s.
We need to find the cost to download a single song
so s=1
c=1.19×1
c=1.19
Hence, 1.19 is the cost to download a single song.
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A system of equations and its solution are given below. System A x + 6 y = 5 3 x − 7 y = − 35 Solution: ( − 7 , 2 ) Choose the correct option that explains what steps were followed to obtain the system of equations below. System B x + 6 y = 5 − 25 y = − 50 A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A. B. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 3. The solution to system B will not be the same as the solution to system A. C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 7. The solution to system B will not be the same as the solution to system A. D. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -5. The solution to system B will be the same as the solution to system A.
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.
What is Linear equation ?
Linear equation can be defined as the equation in which the highest degree is one.
First equation of system A multiplied by -3:
(-3)(x+6y=5)
(-3)(x)+(-3)(6)=(-3)(5)
-3x-18=-15
Sum of the second equation of system A and the first equation multiplied by -3:
(-3x-18)+(3x-7y)=(-15)+(-35)
-3x-18+3x-7y=-15-35
-25y=-50
System B
x+6y=5
-25y=-50
Hence, To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.
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PLEASE ITS DUE SOON!
The surface area of the cylinder with diameter 3 cm is 8.4 π cm²
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the first cylinder be A
Let the second cylinder be B
Now , the radius of first cylinder r₁ = 8/2 = 4 cm
The radius of second cylinder r₂ = 3/2 = 1.5 cm
Since the two cylinders are similar ,
Area of cylinder 1 / Area of cylinder 2 = ( r₁ / r₂ )²
Substituting the values in the equation , we get
60π / B = ( 4/1.5 )²
On simplifying the equation , we get
60π / B = 7.111
Multiply by B on both sides of the equation , we get
B = 60π / 7.11111
B = 8.4375 π cm²
Hence , the area of second cylinder B = 8.4 π cm²
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Describe the graph of the
Compound Inequality shown below and explain what the solutions represent.
x < 0 and x> 2
x < 0 shows actually the negative side of the x- axis.
x > 2 shows actually the positive side of the x- axis after x = 2 point.
Graph are shown below.
This can be solved using the concept of inequality.
What is inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
There are four fundamental types of inequality: less than ( < ), larger than(>), less than or equal to ( ≤ ), and more than or equal to( ≥ ).
Here, x < 0 shows actually the negative side of the x- axis.
x > 2 shows actually the positive side of the x- axis after x = 2 point.
The graph is attached in the below for better understanding.
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f(x) = 4 - 3x
g(x) = 2x^2 - 3x +1
using the functions above, find f(m+1)
The value of function f (m + 1) is,
⇒ f (m + 1) = 1 - 3m
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The value of function are,
⇒ f(x) = 4 - 3x
⇒ g(x) = 2x² - 3x + 1
Now, To find the value of f (m + 1), we can substitute the value of x = m + 1 in equation (i), we get;
⇒ f (x) = 4 - 3x
⇒ f (m + 1) = 4 - 3 (m + 1)
⇒ f (m + 1) = 4 - 3m - 3
⇒ f (m + 1) = 1 - 3m
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Suppose that you want to know how tall a building is. You are standing 60 meters from a flagpole that you know is 35 meters tall. Along the same straight line, you are standing 170 meters from the front of the building.
Notice that the triangle formed by you and the flagpole and the triangle formed by you and the building are similar (you can form the smaller triangle from the larger one by dilation). Using this fact, determine the height of the building.
1. Determine the height of the building using the scale factor r.
2. Determine the height of the building using ratios within the two triangles.
3. Determine the height of the building using ratios between the two triangles.
4. If the angle indicated at the flagpole in the figure measures 60 degrees, what does the unknown angle at the top of the building measure?
The height of the building, h, found using ratios between similar figures and within similar figures is as follows;
1. The scale factor, r = 17/6
The height of the building is 99 1/6 meters
2. The within figure ratio is 35/60 = h/170
Heiught of the building is 99 1/6 meters
3. The between figure ratio is 35/h = 60/170
Height of the building is 99 1/6 meters
4. The measure of the angle at the top of the building is 60°
What are similar triangles?Similar triangles are triangles that have corresponding sides that are proportional, such that the sides of each triangle are a constant multiple of the sides of the other.
The distance from the flagpole = 60 meters
Height of the flagpole = 35 meters
The distance from the building = 170 meters
1. The height of the building found using a scale factor is as follows;
The scale factor, s.f. is the know ratio of the distance from the building to the distance from the flagpole
Therefore; s.f. 170/60 = 17/6
The height of the flagpole is 35 meters
Height of the building = Height of the flagpole × Scale factor
Height of the building = 35 m × 17/6 = 99 1/6
The height of the building found using scale factors is 99 1/6 meters
3. The height of the building found using ratios within the two triangles is found as follows;
The triangles are similar, therefore, their interior angles are congruent, and the trigonometric ratios of the angles are the same.
Within the two triangles, we get;
[tex]\frac{Height \ of \ flagpole}{Distance \ from \ flagpole} = \frac{Height \ of \ building}{Disrtance \ from \ building}[/tex]
35/60 = h/170
h = 170 × (35/60) = 99 1/6
Height of the building = 99 1/6 meters
3. The triangles formed with the flagpole and the triangle formed with the building are similar triangles, therefore;
Between the two triangles, we get
[tex]\frac{Height \ of \ the \ flag[pole}{Height \ of \ the \ building } =\frac{Distance \ from \ the \ flagpole}{Distance \ from \ the \ building}[/tex]
Plugging in the known values, we get;
[tex]\frac{35}{Height \ of \ the \ building} = \frac{60}{170}[/tex]
Height of the building = 35 × 170/60 = 99 1/6
The height of the building is about 99 1/6 meters
4, The triangle formed by the flagpole and the building are similar, therefore, the corresponding angles in the triangles are congruent
The angle at the top of the flagpole corresponds with the angle at the top of the building, therefore;
The angle formed at the top of the flagpole is congruent to the angle formed at the top of the building
The measure of corresponding angles are the same, therefore, the anglle at the top of the building is equal to the angle at the flagpole, which is 60°
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An increase in income will ______.
0.5 + 1/4 - 0.25 - 3/4 =
Answer: −1/4
I used a calculator so I'm 90% sure this is the awnser.
In the equation y= a . b ^x, the "b" value is the common factor in the y-values.
An exponential function is one that has the generic formula y = abx, where a 0, b a positive real number, and b 1. Base b is always the same for exponential functions. In a situation where the set of real numbers is the domain, the exponent x is the independent variable.
What is Exponential Functions?An exponential function is one that has the generic formula y = abx, where a 0, b a positive real number, and b 1. Base b is always the same for exponential functions. In a situation where the set of real numbers is the domain, the exponent x is the independent variable.The exponential growth function and exponential decay are the two different kinds of exponential functions.When b exceeds 1, the function f (x) = bx denotes exponential development.When 0 b 1, the exponential decay function, f (x) = bx, is what is being represented.For instance: a.) Since b > 1 and b = 5, the expression f (x) = 5x would signify exponential development.Since 0 b 1 represents exponential decay, f (x) = 0.83x represents exponential decay. Exponential growth might be represented by (b = 0.83) c.) f (x) = 0.5(3)x since b > 1. (b = 3)Example 1: Determine the value of 4x for x = 0.5 using a calculator and the exponential key ().Evaluate while changing x to the provided value.4x = 40.5 = 2
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ANSWER ASAP FOR BRAINLIEST
Answer:
its C i just did it
Step-by-step explanation:
Three cylindrical oil drums of 2-foot diameter are to be securely fastened around the outside in the form of a "triangle" by a steel band. What length of band will be required?
The length of the steel band that fastens the three 2-ft cylindrical drums is (6 + 2·π) ft
What is a cylinder?A cylinder is a three dimensional solid with a horizontal circular cross-section and a vertical rectangular cross section, such that the sides of the cylinder are parallel.
Number of drums = 3 drums
The diameter of each drum = 2-ft
The cross-section of each drum = A circle
The distance between two poinrts of tangency of the steel band = 2 × The radius = The diameter of each drum
Distance between two points of tangency = 2 ft.
The number of distances between two points of tangency on the cylinders = 3
The length of the steel band that curves round each circle is found as using the formular for finding the length of an arc of a circle, as follows;
Angle made at the center of the circle = 90° + 30° = 120°
Length of the arc with angle 120° at the center is therefore;
Length of arc = (120/360)× 2 × π × 1 = (2/3)·π
The total length of the band = 3 × 2 + 3 × (2/3·π) = 6 + 2·π
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A tutor works with a group of students. The tutor charges $40 plus $30 for each student in the group. Today the tutor charged a total of $220. Find the number of students in the group.
Answer: 6 students
A way to solve for this is to use this equation:
(s = number of students)
40 + (30 × s) = amount of money the tutor was paid.
Inserting 6 into the equation, it would look like this:
40 + (30 × 6) = 220
Therefore, the tutor taught 6 students.
Becky and Lewis's hamster cages have the same perimeter. Lewis's cage has a length 0.75 times the length of Becky's cage. What is the width, w, of Lewis’s cage?
On applying the formula of perimeter the width of Lewis's cage is obtained as 14.86 inches.
What is perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.
Mathematically, the perimeter of a rectangle can be calculated by using this formula -
P = 2(L + W)
Where -
P represents the perimeter of a rectangle.
L represents the length of a rectangle.
W represents the width of a rectangle.
For the perimeter of Becky's rectangular cage, calculate the value -
Perimeter, P = 2(L + W)
Substituting the values and solving the equation -
Perimeter, P = 2(15 + 11)
Perimeter, P = 2(26)
Perimeter, P = 52 inches.
For the perimeter of Lewis's rectangular cage, the value given is -
Length of Lewis's rectangular cage is 0.75 times the length of Becky's cage.
L = 0.75W
The value for perimeter will be -
Perimeter, P = 2(L + W)
Solving the equation -
52 = 2(0.75W + W)
26 = (0.75W + W)
1.75W = 26
Width, W = 26/1.75
Width, W = 14.86 inches.
Therefore. the value for width is obtained as 14.86 inches.
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3.7.2 checkup geometry practice problems
According to triangle proportionality theorem:If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
What is the length of DF?1. AABC ~ ADEF: AABC ~ ADEF by the Side-Angle-Side (SAS) Similarity Theorem.2. What is the length of DF? EF?: DF = (EF)*(AB/DE).3. What is the length of DF?: DF = (EF)*(AB/DE) = (EF)*(3/5) = (3/5)*EF.4. What is the length of DF? EF?: DF = 10 and EF = 6.5. What is the length of AD?: AD = (AB)*(DE/AB) = (AB)*(5/3) = (5/3)*AB.6. What is the length of DF?: DF = (3/5)*EF = (3/5)*6 = 3.6.7. What is the length of BC?: BC = (AB)*(EF/DE) = (AB)*(6/5) = (6/5)*AB.8. What is the length of EF?: EF = 10 and DF = 6.9. What is the length of AB?: AB = (AD)*1. AABC ~ ADEF is the Proportionality Theorem. 2. AABC ~ ADEF is the Side-Side-Side Similarity Theorem.3. AABC ~ ADEF is the Angle-Angle-Side Similarity Theorem.4. DF = 5EF5. CF = 10EF6. DF = 107. AB = 10EF8. BC = 15EF9. AC = 25EF10. AE = 5EFTo learn more about the Proportionality Theorem refer to:
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If the first equation is multiplied by 3 and then the equations are added, the result is _____. 3x + y = 3 x - 3y = -2 10 x = 7 10 x = 11 8 x = 7
The result for given linear equations will be 10x=7 i.e. A.
What is linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
Given 3x+y=3 --> 1
x-3y=-2 --> 2
Multiply linear equation 1 with 3 and add in equation 2
9x+3y+x-3y=9-2
Hence,
10x=7
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Find value on f X (pic included)
The value for base side is obtained as x = 84.149 yd.
What are trigonometric ratios?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios. A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.
It is seen in the diagram that the above angle with 16° forms a right angle.
Hence, the θ value will be -
90° - 16° = 74°
Now apply the formula for trigonometric ratio sec θ-
sec θ = Hypotenuse/Base
sec 74°= 490/x
x = 490/5.823
x = 84.149
Therefore, the length for x is 84.149 yd.
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What is the answer to this question
A locus, or point, line, or moving surface, is a curve or other shape created in mathematics by all the points that meet a specific equation describing the relationship between the coordinates.
What is the formula to determine a point's locus?Suppose P(x,y) P (x, y) is a point on the specified locus. In order to depict an ellipse, the aforementioned equation might be changed to the form x2a2+y2b2=1, or x2a2 + y2b2 = 1. Thus, 36x2 + 20y2 = 45, which is an ellipse, is the equation of locus.A locus, or point, line, or moving surface, is a curve or other shape created in mathematics by all the points that meet a specific equation describing the relationship between the coordinates. The locus is defined as a set of points that includes all shapes including circles, ellipses, parabolas, and hyperbolas.To learn more about locus refer to:
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find the value of x in this equation X+Y=5 and 2X-Y=7
Answer:
x = 4
Step-by-step explanation:
to find the value of x that satisfies both equations, solve them simultaneously.
x + y = 5 → (1)
2x - y = 7 → (2)
add (1) and (2) term vy term to eliminate y
3x + 0 = 12
3x = 12 ( divide both sides by 3 )
x = 4
Round to nearest hundredth (solve the system of equations)
Answer:(3.33, 1.67)
Step-by-step explanation:
How do you solve 1/6+(-1/2)
Answer:
(-1)/3
Step-by-step explanation:
Simplify the following:
1/6 - 1/2
Put 1/6 - 1/2 over the common denominator 6. 1/6 - 1/2 = 1/6 - 3/6:
1/6 - 3/6
1/6 - 3/6 = (1 - 3)/6:
(1 - 3)/6
1 - 3 = -2:
(-2)/6
The gcd of -2 and 6 is 2, so (-2)/6 = (2 (-1))/(2×3) = 2/2×(-1)/3 = (-1)/3:
Answer: (-1)/3
Answer:
-0.3333
Step-by-step explanation:
oditi throws two dice and adds the scores. She does this 36 times. Here are the results. Find : a. the mode, b. the median, c. the mean, d. the range
Answer: a. The mode of the data set is the most frequently occurring value. From the results, the most frequent sum is 7, which occurs 6 times. Therefore, the mode of the data set is 7.
b. To find the median, we need to arrange the data set in numerical order. The median is the middle value of the data set. Since the data set has 36 values, and 36 is an even number, the median will be the average of the 18th and 19th values in the ordered data set.
c. The mean of a data set is found by adding all the values and dividing by the number of values. To find the mean of this data set, we add up all the sums (2+3+4+...+12) and divide by 36.
d. The range is the difference between the largest and smallest values in a data set. In this case, the largest sum is 12 and the smallest sum is 2, so the range is 12-2 = 10
Please note that this is a simulation, if you want real results you should collect the data by throwing the dice 36 times and record the scores.
Step-by-step explanation:
Need help with this problem is anyone could help
Answer:
Step-by-step explanation:
45436
a. Solve for x and y in the diagrams below C Work 6.3 Angles and parallel lines A 60° X 60⁰
Typically, you could just apply the equations x = r(cos(degrees °)), y = r(sin(degrees °)) to obtain the x, y coordinates on a circle with a known radius and angle.
What are the three parallel lines' angles?Three angles in parallel lines facts—alternate angles, co-Interior angles, and matching angles—are used to accomplish this. often referred to as "Z angles." known as "C angles" at times.
The Y formula is what?The slope-intercept form of a straight line is represented by the equation y = mx + b. In this instance, the points' coordinates are x and y, the gradient is m, and the y-axis' intercept is b.
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The graph of an exponential function is shown. Based on this graph, which statement about the function is true?
A- The range is the set of all real numbers less than -3
B- The domain is the set of all real numbers less than -3
C- The range is the set of all real numbers greater than -4
D- The domain is the set of all real numbers greater than -4
Answer:
C- The range is the set of all real numbers greater than -4
Step-by-step explanation:
You want an appropriate description of a decreasing exponential function with a horizontal asymptote of y = -4.
RangeThe range of the function is the vertical extent of its graph. This exponential function extends from y = -4 to y → +∞.
The range is the set of real numbers greater than -4.
__
Additional comment
The domain is the horizontal extent of the graph. The arrows on the ends of the curve show it extends to infinity in both directions.
The value y=-4 is not actually part of the range. The function comes arbitrarily close to that value, but is never actually that value.
Express each ratio as of a. 5:7 fraction in the lowest form
In order to write a ratio as a fraction, use a ratio to fraction. When two things are compared in terms of quantity, the ratio is used.
5 : 7 = 5/7 ≅ 0.7142857.
What is a ratio to a fraction?In order to write a ratio as a fraction, use a ratio to fraction. When two things are compared in terms of quantity, the ratio is used. With a ':, you can write this." : " the word 'to,' or as a fraction.We can declare that for the ratio + a+b a and +. a+b/ b in order to convert ratios to fractions when we have the relationship a:b, where both values are components of the whole.E.g.
The ratio of blue : red is shown in the diagram below as a bar model with the values 3:2 (or 3:2) (or 3 to 2).2). The total number of blocks is 5 /5, with 3 /3 blue blocks and 2/ 2 red blocks present.3 /2 + 3 = 3 5 is the fraction for blue, and 2 + 3 /3 = 5 3.Red's fraction is 2 /2 + 3 = 2 5, whereas green's is 2+3 /2 = 5 2.The numerator of each fraction in this example represents the portion of the ratio that interests us, and the total number of shares in the ratio equals + a+b (the denominator of each fraction).Recall: If the fraction (or ratio) can be made simpler, do so, but remain using whole numbers (integers).To Learn more About ratio as a fraction Refer To:
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