Answer:
15 pieces
Step-by-step explanation:
we see if we get 3 pieces from one bread then 5 will be 15
hope it helps you
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which of the following rational functions is graphed below?
Answer: C
Step-by-step explanation:
There is a vertical asymptote at x=3, so the denominator should have a factor of (x-3).
This eliminates everything except for C.
Write each expression in the correct column to show whether the quotient is less than, greater than, or equal to 1
The expressions based on the information given are illustrated below
How to calculate the expression?3/4 ÷ 1/2 = 1.5 = quotient is grater than 1
1/2 ÷ 3/4 = 2/3 = quotient is less than 1
2/9 ÷ 1/27 = 6 = quotient is grater than 1
5/3 ÷ 20/6 = 1/2 = quotient is less than 1
4/3 ÷ 3/5 = 20/9 = quotient is grater than 1
19/8 ÷ 2 3/8 = 1 = quotient is equal to 1.
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assuming the pattern continues, what is s12 for the series -5-14-23-32-...?
Answer:
S₁₂ = - 654
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 14 - (- 5) = - 23 - (- 14) = - 32 - (- 23) = - 9
this indicates the series is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = - 5 and d = - 9 , then
S₁₂ = [tex]\frac{12}{2}[/tex] [ (2 × - 5) + (11 × - 9) ]
= 6(- 10 - 99 )
= 6 × - 109
= - 654
A company designs microphones for use in conference rooms. a new microphone needs to focus on the person speaking and not the voices of other people in the room. which polar equation would best match the desired audible range of the microphone?
r = 3 + 3cos(θ) polar equation would best match the desired audible range of the microphone.
How do you know if an equation is polar?Determine the kind of polar equation. The polar equation has the shape of a limaçon, and is written as r = a - b cos. We just need to assess the equation throughout the range [0, 1] and then reflect the graph about the polar axis because the equation passes the condition for symmetry to the polar axis.What is a polar in math?The polar coordinate system in mathematics is a two-dimensional coordinate system in which the distance from a reference point and the angle from a reference direction are used to identify each point's location on a plane.What is the meaning of polar form?In addition to the rectangular form, a complex number can also be represented in polar form. Typically, we write complex numbers as z = x + iy, where I is an imaginary integer. However, in polar form, complex numbers are modeled as a union of argument and modulus.Learn more about polar form here:
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Answer:
D
Step-by-step explanation:
PLEASE HELP!!!!
Question 8(Multiple Choice Worth 5 points)
(05.02 MC)
Based on the figure below, what is the value of x?
A right angle is shown divided in two parts. The measure of the angle of one part is 20 degrees and the measure of the other part is 5x plus 15 degrees.
A) 1
B) 9
C) 11
D) 15
The value of x from the given figure is 11
Complementary anglesThe sum of two complementary angles is 90 degrees.
The angles shown in the diagram are complementary such that;
20 + 5x + 15 = 90
5x + 35 = 90
5x = 90- 35
5x = 55
x = 55/5
x = 11
Hence the value of x from the given figure is 11
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How to use the distributive property to multiply two variables together
Distributive property states that A × (B + C) = AB + AC. are always equal.
According to the statement
we have to explain the distributive property over multiplication.
Distributive property is the multiplication property.
According to this property, it generalizes the Distributive Law and it tells us that the an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
It means that From distributive property
A × (B + C) = AB + AC.
These are always equal with each other.
Now we will explain with an example,
Let A = 2, B = 3 and C = 4
Then
2 × (3 + 4) = 2(3) + 2(4).
2 × (7) = 2(3) + 2(4).
14 = 6 + 8.
14 = 14.
It proves that the A × (B + C) = AB + AC.
So, Distributive property states that A × (B + C) = AB + AC. are always equal.
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Margo spends a quarter of her paycheck on a new dress, one-eighthof her paycheck on shoes, and $24 on a birthday present. if she spent $60 altogether, how much was margo’s paycheck?
Solving a linear equation, we conclude that Margo's paycheck is of 96 dollars.
How much was Margo's paycheck?
We know that she spends one quarter on a dress, one eight on shoes, and $24 on a birthday present.
We also know that she spent a total of $60.
If we define P as Margo's paycheck, then we know that:
(1/4)*P + (1/8)*P + $24 = $60
Now we just need to solve that linear equation for P, we will get:
(2/8)*P + (1/8)*P = $60 - $24 = $36
(3/8)*P = $36
P = (8/3)*$36 = $96
In this way, we conclude that Margo's paycheck is of 96 dollars.
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Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pie.
The circumference and area of the circle are 27. 0 inches and 58. 0 inches square respectively.
How to calculate the circumferenceThe formula for circumference of a circle is given as;
Circumference = 2 π r
We have diameter = 8. 6 inches
Radius = diameter/ 2
Radius = 8.6/2 = 4. 3 inches
Circumference = 2 × 3. 14 × 4. 3 = 27. 0 Inches
The formula for area of a circle = π r ^2
Area = 3. 14 × 4. 3 × 4. 3
Area = 58. 0 Inches square
Thus, the circumference and area of the circle are 27. 0 inches and 58. 0 inches square respectively.
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HELP !! Which of the following points lies on the graph of this equation? y =2x -2
Answer:
A.
Step-by-step explanation:
i'm 99% sure!
Answer:
B
Step-by-step explanation:
Plug in the coordinates.
Compare the graphs of the functions listed below.
Function 1: y = 0.25x2
Function 2: y = 4x2
Function 3: y = -½x2
Function 4: y = -16x2
The graph of
✔ function 1
is the widest.
The graph of
is the narrowest.
Answer:
Function 1 is the widestFunction 4 is the narrowestStep-by-step explanation:
The graph is widest when the coefficient of [tex]x^2[/tex] has the smallest absolute value.
The graph is narrowest when the coefficient of [tex]x^2[/tex] has the largest absolute value.
By comparing the graphs of the functions, function 1: y = 0.25x2 is the widest and function 4: y = -16x2 is the narrowest.
The graph is widest when the coefficient of [tex]x^{2}[/tex] has the smallest absolute value.
The graph is narrowest when the coefficient of [tex]x^{2}[/tex] has the largest absolute value.
The answer lies in the coefficient for the [tex]x^{2}[/tex] term. When the absolute value of the coefficient gets bigger, the graph gets narrower (positive and negative simply show the direction the parabola is pointing, with positive opening up and negative opening down).
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Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder yx and the planes zy and z0.
By using the triple integral, the wedge's volume is 4/15.
What is parabolic cylinder?A parabolic cylinder is a three-dimensional quadratic surface (sometimes known as a quadric surface) in mathematics, specifically analytical geometry, and is defined by the equation x 2 + 2 a y = 0 x2+2ay=0. A parabola serves as the directrix of a parabolic cylinder, to put it another way.
According to the assertion:The wedge's volume, which the parabolic cylinder encloses, must be determined.
Consequently, as a result of the z=y form,
In addition to the specified boundary, the plane y=0 x = 0, z = 0.
For all of this, we are therefore in the first octant. additionally, the plane
x + y = 1 is a constraint.
Triple integrals are three independent integrations that are done one after the other to calculate a volume or to integrate across three independent dimensions in a fourth dimension.
The following would be written as a triple integral:
∫x=0 ∫y=0
∫z=0 dy dz dx
Once the values have been entered and the problem has been solved, we obtain the
[−4/15(1−x)^5/2] at x=0
The answer will then change to 4/15.
As a result, using the triple integral, the wedge's volume comes out to 4/15.
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Bill and his classmates completed 14 activities in 4 hours. what is the unit rate at which they ocompleted the activities
Step-by-step explanation:
we first divide fourteen by four
14/4= 3.5
then we change 0.5 to hours by multiplying by 60
0.5 * 60 = 30
so in conclusion it would take 3hrs 30mins to finish each activity
help!!!!!!!!!!!! >>>>>Which number set contains all rational
numbers?
The only set that only has rational numbers is the first one:
{1/3, -3.45, √9}
Which of the given sets contains only rational numbers?
A rational number is a number that can be written as the quotient of two integers.
If we look at the first set, the elements are:
1/3 which is a rational number.-3.45 = -345/100 which is a rational number√9 = 3 = 3/1 which is a rational number.In the other sets we can see elements like:
√37, √44, or √2 which are all irrational numbers, then the only correct option is the first one.
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Which table represents a quadratic function?
Answer:
A (see attached)
Step-by-step explanation:
There are a couple of things you can look for to see if a table represents a quadratic function:
do the values increase, then decrease, or vice versado the differences have a constant difference.ObservationIn the first of the given tables, the f(x) values start out decreasing, and end up increasing. This is a good indication the table represents a quadratic function.
In the remaining tables, the f(x) values are always increasing.
table 2: differences are always +2 (linear function)table 3: differences are always +4.5 (linear function)table 4: table values have a common ratio of 2 (exponential function)AnalysisThe f(x) values in table 1 have differences of ...
-3, -1, 1, 3
These values have differences of ...
2, 2, 2
The constant "second differences" mean that the function can be represented by a 2nd-degree polynomial, a quadratic. In fact, the equation for this table is ...
f(x) = x² +2
Sarah bought two t-shirts and one sweatshirt. The t-shirts cost $\$15.22$ each. If Sarah spent a total of $\$67.94,$ how many dollars did the sweatshirt cost
Answer: $37.50
Step-by-step explanation:
Enter the degree of the polynomial below.
5,5 + 8,2 + 2x - 319 - 8x1 -4,5
Based on the given polynomial, the degree of the polynomial can be calculated to be 1.
what is the degree of the polynomial?the degree of the polynomial is defined as the highest exponential degree or power in a polynomial.
from the above, we see that the highest power is 1 from 8x¹.
the degree of the polynomial is therefore 1.
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This Stem-and-Leaf Plot represents test scores of students in a math class. If two test scores, 68 and 75, are added to the data, which statement will be true?
A. The median will change; the mode will stay the same.
B. The mode will change; the median will stay the same.
C. The median and the mode will both change.
D. The median and the mode will stay the same.
The median will change; the mode will stay the same.
Will the median and mode change?The median is the number that is at the center of a data set when the data are arranged either in ascending or descending order.
Median = 23
When 68 and 75 are added, the median would change.
Mode refers to a value that appears most frequently in a data set.
The mode = 75
So, when 75 is added, the mode does not change.
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Find the x - and y -intercepts of the graph of the linear equation 2 x plus 3 y is equal to 2x+3y=12
Answer:
x-intercept is 6 [(6, 0) is the point]
y-intercept is 4 [(0, 4) is the point]
Step-by-step explanation:
To find the x-intercept, we can set y equal to 0 and solve for x. This works because the x-intercept is the point of the graph where the line crosses the x-axis (meaning y is equal to 0 at this point. So, if we set y=0 and solve, we get this:
[tex]2x+3(0)=12\\2x=12\\x=6[/tex]
So, the x-intercept is 6; if it is written as a point, it is (6, 0) since y is 0
To find the y-intercept, we can set x equal to 0 and solve for y. This works the same way - x is equal to 0 at the point where the line crosses the y-axis. If we set x=0 and solve, we get this:
[tex]2(0)+3y=12\\3y=12\\y=4[/tex]
So, the y-intercept is 4; if it is written as a point, it is (0, 4) since x is 0
WILL GIVE BRAINLEST!!!
I. The diagonals in a trapezoid are always equal in length.
II. The diagonals in a trapezoid always bisect each other.
III. The diagonals in a trapezoid always intersect at the median.
Which of the above statements are NOT true for all trapezoids?
I only
I, II, and III
I and III
I and II only
Answer:
I and II only
HELP ME, IT'S AN EMERGENCY
Answer:
(A) 36°
Step-by-step explanation:
Find intercepted arc (RT):
360° - 288° = 72
*A circle is 360°*
Find angle RST:
An inscribed angle = 1/2 intercepted arc
angle RST = 1/2(72)
Angle RST = 36°
What is the volume, in cubic centimeters, of a cube whose side measures 4 centimeters ?
Fill in the blank by entering only a number as your answer.
The formula for the volume of a cube is-side length^3.
For your problem, side length=4, so the answer is 4^3=64
ANSWER: 64 CUBIC CENTIMETERS hope this helped you
(T-Tb)
2. Which of the following expressions is equivalent to 322?
01
08.1/1
032.2
08-2
Answer:
C. (32/4)*2
Step-by-step explanation:
C is the correct answer because when we divide 4/2 it equals 2.
Hope this helps!
Answer:
D
Step-by-step explanation:
Given expression:
[tex] \dfrac{32}{4} \times \dfrac{4}{2} \times 2 [/tex]
Evaluation of the given expression:
[tex] = 8 \times 2 \times 2 [/tex]
[tex] = 32 [/tex]
A. [tex] \dfrac{32}{\frac{16}{4}} = \dfrac{32}{4} = 8 [/tex]
B. [tex] 8 \times \dfrac{4}{2} = 8 \times 2 = 16 [/tex]
C. [tex] \dfrac{32}{4} \times 2 = 8 \times 2 = 16 [/tex]
D. [tex]8 \times \dfrac{4}{2} \times 2 = 8 \times 2 \times 2 = 32[/tex]
Only expression D evaluates to the same value as the given expression.
Answer: D
The angle measurements in the diagram are represented by the following expressions.
Answer:
Angle A= 30
Step-by-step explanation:
Angle A and B are same side interior
So A + B = 180
x = 8
6(8)-18=30
Answer:23
Step-by-step explanation:
jaja
given points (8,6) and ( 8, 0) as the endpoints of a radius ,what is the equation of the circle with center ( 8,6)
The general equation of a circle is written like [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the centre and r is the radius.
Solving the QuestionFirstly, we're given that the centre is (8,6).
Plug this into the general equation:
[tex](x-h)^2+(y-k)^2=r^2\\(x-8)^2+(y-6)^2=r^2[/tex]
We're given this other point on the circumference of the circle, (8,0), which is 6 units away from the center.
Therefore, the radius is 6 units. Plug this into the general equation too:
[tex](x-8)^2+(y-6)^2=r^2\\(x-8)^2+(y-6)^2=6^2\\(x-8)^2+(y-6)^2=36[/tex]
Answer[tex](x-8)^2+(y-6)^2=36[/tex]
Find the volume of the composite figure. Round to the nearest tenth if necessary.
The volume of the composite figure is of 425 m³.
What is the volume of a prism?The volume of a prism is given by the base area multiplied by the height.
In this problem:
For the top figure, the base is a square with 5m, with height of 13m.For the bottom figure, the base is a square with 5m, with height of 4m.Hence the volume in m³ is:
V = 5² x 13 + 5² x 4 = 25 x 17 = 425 m³.
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Find the volume of the composite solid.
The volume of the composite solid shown in the diagram is: 80 ft.³.
What is the Volume of Composite Solid?Volume of the composite solid = volume of triangular prism + volume of triangular pyramid.
Volume = 0.5 × base of triangle × height of triangle × length of prism + 1/3 × Base area × Height = 0.5 × 8 × 5 × 3 + 1/3 × 0.5 × 8 × 5 × 3
Volume = 60 + 20
Volume of the composite solid = 80 ft.³.
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The measures of the angles of a triangle
are shown in the figure below. Solve for x.
33°
(3x-12)°
Answer:22
Step-by-step explanation:22
Evaluate if a = - 3 and c = 5
- Зас
7
Answer:
315
Step-by-step explanation:
-3ac7
-3x-3=9x5=45x7=315
❄ Hi there,
evaluate this expression by using substitution:
If
a=-3c=5then
-3ac= (see below)[tex]\sf{-3(-3)(5)}[/tex]
[tex]\sf{9\times5}[/tex]
[tex]\triangleright \ \sf{45}[/tex]
That's it!
❄
For 19-20, Decide whether the polygons are similar. If so, find the scale factor of Figure A to Figure B.
Answer: Not similar
Step-by-step explanation:
The polygons are not similar because the ratio of the corresponding sides is not equal (30/18 is not equal to 18/8)
Please answer the question below..
The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The area of big sector = (60/360) * π(10)² = (50π /3) cm²
Area of small sector = (60/360) * π(x)² = (x²π /6) cm²
Unshaded area = (x²π /6) cm²
Shaded area = (50π /3) - (x²π /6) = (100π - x²π) /6
Shaded area = unshaded area
(100π - x²π) /6 = (x²π /6) cm²
x = 7.07
The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.
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The length of x in the sector is 7.08 cm.
How to find area of a sector?area of a sector = ∅ / 360 × πr²
where
r = radiusTherefore,
area of a sector = 60 / 360 × π × 10²
area of a sector = 60 / 360 × π × 100
area of a sector = 6000 / 360 π
Hence,
area of the unshaded portion = 6000 / 360 π ÷ 2 = 6000π / 720 = 26.1666666667 = 26.2 cm
Hence,
26.2 = 60 / 360 × 3.14 × x²
x² = 26.2 / 0.52333333333
x = √50.0637261552
x = 7.07557064836
x = 7.08 cm
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