Answer:
122.3°
Step-by-step explanation:
Vertical angles are congruent. That means that they have the same measurement.
3. What is the volume of this complex figure?
3 m
4 m
6m
4 m
7m
Answer:
27,64,216,64,243
Step-by-step explanation:
Any number raise to power 3
6. If 5x < 3y and 6y < 7z, which of the following
is true?
a) 5x < 7z
b) 5x > 7z
c) 10x < 7z
d) 10x = 7z
Answer:
c) [tex]10x<7z[/tex]
Step-by-step explanation:
[tex]5x<3y \implies 10x<6y \\ \\ \therefore 10x<6y<7z \implies 10x<7z[/tex]
Find the value of C so that the graph of
x² + y²
12x + 14y - C = 0
passes through the point (10, 1).
Answer:
C = 235
Step-by-step explanation:
given the graph passes through (10, 1 ) then the coordinates of the point make the equation true.
substitute x = 10, y = 1 into the equation and solve for C
10² + 1² + 12(10) + 14(1) - C = 0
100 + 1 + 120 + 14 - C = 0
235 - C = 0 ( subtract 235 from both sides )
- C = - 235 ( multiply both sides by - 1 )
C = 235
What is the length of GI
Check the picture below.
so the triangles are similar by AA.
[tex]\cfrac{GI}{10}~~ = ~~\cfrac{15}{12}\implies \cfrac{GI}{10}~~ = ~~\cfrac{5}{4}\implies 4GI=50\implies GI=\cfrac{50}{4}\implies GI=12.5[/tex]
The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
0 5
1 0, 3, 7
2 4, 6, 8
3 2
4
5 8
Key: 5|8 means 58
What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability, and it equals 18.5.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 18.5.
The IQR is the best measure of variability, and it equals 45.
What is Variability of data?Data variation can be caused by a variety of sources. Variability is also known as data spread. The standard deviation is a measure of variability since it measures the spread of data.
The range is the best measure of variability for the data shown, and its value is 45.
The range is defined as the difference between the largest and smallest values in a set of data.
In this case, the largest score is 88 and the smallest score is 20, so the range is 88 - 20 = 68.
The IQR (interquartile range) is another measure of variability, but it is not the best measure for this data set because the data set has only a few values and does not form a normal distribution. The IQR is a more appropriate measure for larger data sets that form a normal distribution.
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Add Decimals-Instruction - Level E
June makes slime using 1.5 liters of white glue and 0.72 liter of a starch and water mixture.
Find the total volume of the slime.
Are there enough hundredths to make a tenth?
➡ There are ? hundredths. That is
enough to make a tenth.
✓is
is not
➡ There are 22 hundredths. That is enough to make a tenth.
What is the arithmetic operations?
Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th century, Italian mathematician Giuseppe Peano formalized arithmetic with his Peano axioms,[disputed – discuss] which are highly important to the field of mathematical logic today.
The four basic mathematical operations are Addition, subtraction, multiplication, and division.
To find the total volume of the slime, we need to add 1.5 and 0.72:
1.5 + 0.72 = 2.22
There are 22 hundredths, which is enough to make a tenth.
Hence, the answer is:
➡ There are 22 hundredths. That is enough to make a tenth.
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If you borrow $1,100 for
9 years at an annual
interest rate of 4%,
what is the total
amount of money you
will pay back?
The amount of interest paid will be $396.6.
What is simple interest?The simple interest is the simple amount paid by the borrower to the bank according to the percentage set by the bank for per year which is a fixed interest rate.
Given that Margo takes out a $600 loan with a 10-month repayment period and a 2% yearly interest rate.
The simple interest will be calculated as:-
SI = ( P x R x T ) / 100
SI = ( 1100 x 9 x 4 ) / 100
SI = 39600 / 100
SI = $396
Therefore, $396 will be paid in interest.
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What is the x-coordinate of the image when M(4, −1) is reflected in y=3.
The image of the point M(4, -1) after reflection in the line y = 3 would have the x-coordinate of 4.
What is another way to say reflecting?When you reflect, you are giving something serious thought. [written] I continued my thoughtful stroll to the car while contemplating the unfortunate honeymooners. Synonyms: thoughtful, ponderous, contemplative, and pensive More reflective's opposites.
What other word for reflecting is there?Cogitate, deliberate, reason, conjecture, and think are a few words that frequently replace the word reflect. All of these terms indicate "to utilise one's faculties of imagination, reasoning, or inference," but reflect denotes thoughtful deliberation over a memory that has just come to mind.
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Two numbers are in the ratio of 2:3. If 15 is added to both the numbers, then the ratio betwee two numbers becomes 11: 14. Find the greater number.
Answer:
Below
Step-by-step explanation:
(2x+15) / ( 3x+15) = 11/14 cross multiply to get
28x + 210 = 33x + 165
45 = 5x
x = 9 so the larger number is 3 X 9 = 27
(smaller number is 2 x 9 = 18)
Solve the system using the substitution method. For the system that does not have one unique solution, also state the number of solutions and
whether the system is inconsistent or the equations are dependent. Express numbers as integers or simplified fractions.
y=2x+7
4x+3y=-19
Answer:
(-4, -1)
Step-by-step explanation:
The system has one solution
Box plot pls help outliers
The boxplot without the outliers is (c)
What are outliersOutliers are data points that are significantly different from the other data points in a dataset.
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.
How to determine the boxplotUsing the definition in (a) as a guide, we have the boxplot to be (c)
This is so because it has a minimum of 15 and a maximum of 95 (just as the original boxplot)
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The graph above is a transformation of the function X^2
Write an equation for the function graphed above
The equation for the function graphed is g(x) = -1/4(x + 2)^2 - 1
How to determine the equation for the function graphedFrom the question, we have the following parameters that can be used in our computation:
f(x) = x^2
First the function is reflected across the x-axis
This gives
f'(x) = -x^2
Next, the function is stretched vertically by 4
Using the above as a guide, we have the following:
f'(x) = -1/4(x)^2
Lastly the function is translated 2 units left and 1 units dows
This is represented as
g(x) = -1/4(x + 2)^2 - 1
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Find the surface area of the prism.
S.A.
?
cm²
5cm
4cm
7cm
Please hurryyyy
The Total Surface Area for given prism will be 166 [tex]cm^2[/tex].
How to calculate the total surface area of Rectangular Prism?The entire surface area of a rectangular prism may be computed by adding the areas of its six sides. A rectangular prism's surface area may be determined using the following formula:
[tex]Surface Area = 2(l*w) + 2(l*h) + 2(w*h)[/tex]
where:
l = length of the rectangular prism
w = width of the rectangular prism
h = height of the rectangular prism
Using this formula for given problem,
Given,
l=5cm
w=4cm
h=7cm
[tex]\text{Total Surface area}=2.(5.7)+2.(4.5)+2.(4.7)\\\\=70+40+56\\\\=166\;cm^2[/tex]
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The lengths of the three sides of a triangle are x + 15 , 2x + 15 and x + 12 (where x cannot equal zero). What is the perimeter of the triangle?.
The perimeter of the triangle is 3x + 42.This can bean represented mathematically as (xd + 15) + (2x + 15) + (x + 12) = 3x + 42.
The perimeter of a triangle is the sum of the lengths of its three sides. In this problem, the lengths of the three sides of the triangle are given as x + 15, 2x + 15, and x + 12, where x cannot equal zero. To calculate the perimeter of the triangle, we need to add these three lengths together. This can bean represented mathematically as (xd + 15) + (2x + 15) + (x + 12) = 3x + 42. Therefore, the perimeter of the triangle is 3x + 42.
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Which equation could represent a proportional relationship?
A)h = p +27
B)h=38p
C) h= 47.3/p
D)hp = 29.50
B) h = 38p
An equation represents a proportional relationship if the ratio of the dependent variable to the independent variable is constant. In this equation, h is directly proportional to p, meaning that if p increases, h increases, and if p decreases, h decreases. The constant of proportionality is 38.
In other words, the equation h = 38p can be written as h/p = 38, which shows that the ratio of h to p is always equal to 38. This means that the equation represents a proportional relationship.
The other equations listed do not represent a proportional relationship because the ratio of the dependent variable to the independent variable is not constant. For example, in equation A, h is not directly proportional to p because the constant of proportionality changes as p changes. In equation C, h and p are inversely proportional because h decreases as p increases, and h increases as p decrease. And in equation D, the equation is not in the form of a proportion because there is an additional constant term on the right-hand side.
What are the scaled dimensions of a kitchen with dimensions 6.3m by 4.8, if the kitchen plan is drawn to a scale of 1:500?
The scaled dimensions of a kitchen with dimensions 6.3m by 4.8m, if the kitchen plan is drawn to a scale of 1:500, are given as follows:
1.26 cm and 0.96 cm.
How to obtain the scaled dimensions?The scaled dimensions are obtained applying the proportions in the context of the problem.
The scale is of 1:500, meaning that each dimension is divided by 500, as follows:
6.3 m: 6.3/500 = 0.0126 m = 1.26 cm.4.8 m: 4.8/500 = 0.0096 m = 0.96 cm.More can be learned about proportions at https://brainly.com/question/24372153
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Write 15*15*15*15 using an exponent
Answer:
15^4
Step-by-step explanation:
An exponent refers to the number of times a number is multiplied by itself,
so 15 multiplied 3 more times by itself (15 * 15 * 15 * 15) its 15^4.
[tex]15^{4} .[/tex]
Step-by-step explanation:1. General concept about exponents.When working with positive non fractional exponents, we state that a number A elevated to the n power is that number A in a multiplication of itself n times. For example, when we write [tex]7^{3}[/tex] we're stating that the seven is being multiplied 3 times: [tex]7*7*7[/tex].
2. Use the rule to rewrite the expression.As you may see, the expression "15*15*15*15" is just the number 15 being multiplied by itself four times. Hence, we could say that the number 15 to the power of 4. Thus, we can rewrite it as:
[tex]15^{4} .[/tex]
Horizontal and vertical lines are special lines. A horizontal line goes from left to right and is parallel to the x-axis. The equation is y=b. What is its slope?
A vertical line goes up and down and is parallel to the y-axis. The equation is x=a. What is its slope?
Please give at least two examples of equations for vertical and horizontal line.
Horizontal lines have a slope of zero, since the "rise" is; zero.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Since we know that Vertical lines have an undefined slope, since the "offset" is zero, and division by zero is not allowed.
If the slope has a value of zero, the line is horizontal, neither increases nor decreases.
Therefore,
Horizontal lines always have an equation of the form; y = a
Vertical lines always have an equation of the form; x = b
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what is the slope of this line?
Answer: -1/2
Step-by-step explanation: Down 1 over 2
please help me with math i’ll give you brainlist!!
Answer: A) Dashed line with shading below
Step-by-step explanation:
because, as you can see the < sign is only less than not 'less than and equal to' so it will be dashed...
Answer:
A
Step-by-step explanation:
A dashed line is used if < or > is used to indicate that the boundary is not part of the solution. Then shade the appropriate region.
As in the question, y is less than 4/3x + 2 therefore, the region below the line is shaded.
5/12+1/12 112
1 over 12
1/2
1 half
1/4
1 fourth
7/12
7/12 can be written as a mixed number as follows:
7/12 = 7 ÷ 12/12 = 0 and 7/12.
So 7/12 can be expressed as "zero and seven twelfths" or simply "seven twelfths."
Which of the following are consistent with the observed relationship between growth in real GDP and changes in the unemployment rate as shown in Figure 8-5? Which are not?a. A rise in the unemployment rate accompanies a fall in real GDP.b. An exceptionally strong business recovery is associated with a greater percentage of the labor force being employed.c. Negative real GDP growth is associated with a fall in the unemployment rate.
a. A rise in the unemployment rate accompanies a fall in real GDP. - Consistent
b. An exceptionally strong business recovery is associated with a greater percentage of the labor force being employed. - Not consistent
c. Negative real GDP growth is associated with a fall in the unemployment rate. - Not consistent
This is consistent with the observed relationship between real GDP growth and changes in the unemployment rate. An increase in real GDP is associated with a decrease in the unemployment rate, and vice versa.
This is because when GDP increases, businesses are able to hire more workers, leading to a decrease in the unemployment rate. Conversely, when GDP decreases, businesses may have to lay off employees or reduce their hours, leading to an increase in the unemployment rate.
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The complete question is:
Which of the following are consistent with the observed relationship between growth in real GDP and changes in the unemployment rate as shown in Figure 8-5? Which are not?
a. A rise in the unemployment rate accompanies a fall in real GDP.
b. An exceptionally strong business recovery is associated with a greater percentage of the labor force being employed.
c. Negative real GDP growth is associated with a fall in the unemployment rate.
Which of the following is not an example of a quadratic equation in real life?
A.The curve of hanging electrical wires
B.The path of a boat
C.The yellow arches of a big M
D.The path of a tennis ball
E.The path of a human cannonball
The yellow arches of a big M is not an example of a quadratic equation in real life.
What is quadratic equation ?
Quadratic equation can be defined as equation in which it is in the form of ax^2+bx+c = 0
where c is constant.
A quadratic equation is an equation in which the highest power of the variable is 2. In real life, many phenomena can be modeled by quadratic equations, such as the curve of hanging electrical wires, the path of a boat, the path of a tennis ball, and the path of a human cannonball.
However, the yellow arches of a big M is not a mathematical equation or a physical phenomenon that can be described by a quadratic equation. The arches are simply a design element of the McDonald's logo.
Therefore, The yellow arches of a big M is not an example of a quadratic equation in real life.
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If the number x² y is a negative integer, then -y is a positive number
Answer: Yes, this statement is true. If the number x² y is a negative integer, it means that x² is a positive integer and y is a negative integer. Therefore, -y would be a positive number.
Step-by-step explanation:
What are the coordinates of R′ for the dilation D(0. 5, P)(PQRS)?
Answer:
the coordinate of the R' after the dilation is (-1,-0.5)
Step-by-step explanation:
Find the x- and y-components of the vector d⃗ = (3. 0 km , 30 ∘ left of +y-axis). Express your answer using two significant figures. Enter the x and y components of the vector separated by a comma
For the information provided the x- and y-components of the vector are 1.5 km and 2.6 km, respectively.
To find the x- and y-components of the vector, we can use trigonometry.
The x-component of vector is given by:
d_x = d × cos(θ)
where d is the magnitude of the vector and θ is the angle between the vector and the x-axis.
In this case, d = 3.0 km and θ = 60 degrees (since the vector is 30 degrees to the left of the y-axis).
So, d_x = 3.0 km × cos(60°) = 1.5 km.
The y-component of vector is given by:
d_y = d × sin(θ)
In this case, d_y = 3.0 km × sin(60°) = 2.6 km.
Expressing the answer using two significant figures gives:
d_x = 1.5 km, d_y = 2.6 km.
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All numbers less than 17 and greater than or equal to -8. into SET BUILDER NOTATION!!
Answer:
The set of all numbers less than 17 and greater than or equal to -8 can be expressed in set builder notation as:
{x | -8 <= x < 17}
Step-by-step explanation:
Set builder notation is a way of expressing a set of elements in mathematical terms. The syntax of set builder notation is {x | <condition>}, where x represents an element in the set and the condition specifies the properties that the element must satisfy to be included in the set.
In this case, the set consists of all numbers less than 17 and greater than or equal to -8. The condition for the set is -8 <= x < 17, where x is a real number. This means that x must be greater than or equal to -8 and less than 17 in order to be included in the set.
Therefore, the set of all numbers less than 17 and greater than or equal to -8 can be expressed in set builder notation as:
{x | -8 <= x < 17}.
Circles and answers please just need help tthank you so mwa
On solving the provided question, we can say that In decimals r = 3.8799 and d = 7.7598
What is decimal?Integer and non-integer numbers are οften expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded tο include non-integer values. Decimal notation is the name fοr the method used to represent numbers in the decimal system.
A decimal is a number with a whοle and a fractional component. Decimal numbers, which are in between integers, are used tο express the numerical value οf full and partially whole amounts.
the lengths (in inches) οf the radius and the diameter οf a circle with area 47.25 in'.
Area = πr²
47.25 = 3.14 × r × r
r × r = 15.0541401274
In decimals
r = 3.8799
d = 7.7598
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Find the measure of the missing angles.
Answer:
F = 29
E= 151
D = 90
Step-by-step explanation:
For F:
The angle F is on a 180 degree angle with a degree next to it that is 151. To get the value F subtract 180-151 and you get 29.
For E: If F is 29 then the angle opposite of F is also 29. So again to find the measure of angle E, subtract 180 minus 29 and you get 151.
For D: D is also lying on a 180 degree angle. The angle next to it is 90. To get 180 add 90. 90 is the measure of angle d.
Answer:
d = 90°,e = 151°,f = 29°.-----------------------------------
Angle d is linear pair with a right angle, therefore:
d = 180° - 90°d = 90°Angle e is vertically opposite with 151° and therefore they are congruent:
e = 151°Angle f is adjacent with 151° and forming a linear pair, therefore:
f = 180° - 151°f = 29°Hugo is serving fruit sorbet at his party.He has 1 gallon of fruit sorbet to serve to 32 friends .If each person receives the same amount,how many cups of fruit sorbet will each person get?
Answer:
4 cups of fruit sorbet.
Step-by-step explanation:
There are 128 cups in 1 gallon. So, 1 gallon of fruit sorbet is equal to 128 cups.
Therefore, each person will receive 128 cups / 32 people = 4 cups of fruit sorbet.
The solution is, each person get 4 cups of fruit sorbet.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
Hugo is serving fruit sorbet at his party.
He has 1 gallon of fruit sorbet to serve to 32 friends .
now. we get,
There are 128 cups in 1 gallon.
So, 1 gallon of fruit sorbet is equal to 128 cups.
so, we have,
Therefore, each person will receive 128 cups / 32 people = 4 cups of fruit sorbet.
If each person receives the same amount,
then, each person will receive 4 cups of fruit sorbet.
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