Answer:
\(30\leq x\) AND \(x \leq 106\)
Notice the valid answer is the one with the AND since need to be both at the same time.
Step-by-step explanation:
Is the one is market, you add 6 to each side and you obtain that answer
\(24 \leq x-6\leq 100\)
\(24 +6\leq x\leq 100+6\)
\(30\leq x\leq 106\)
What is the median of the data set 4 7 9 10 5 12 6
The median is the value of the data set that separates the sample in halves.
To determine the median of a determined data set, you have to calculate its position.
The given sample has n=7 elements, to determine the position of the median given that the data set is odd, you have to use the following formula:
\(\text{PosMe}=\frac{1}{2}(n+1)\)Replace it with n=7
\(\begin{gathered} PosMe=\frac{1}{2}(7+1) \\ \text{PosMe}=\frac{1}{2}\cdot8 \\ \text{PosMe}=4 \end{gathered}\)This result indicates that the media is the fourth observation of the data set.
Next, you have to order the data set from least to greatest:
Original data set: 4, 7, 9, 10, 5, 12, 6
Ordered from least to greatest: 4, 5, 6, 7, 9, 10, 12
Once the data set is ordered, you have to count starting from the left until you reach the fourth observation:
O4, 5, 6, 7, 9, 10, 1
The fourth value of the data set is 7, which means that the median of the data set is 7.
Median=7
2
Given:
prove:x=15
Statements and reasons
Answer:
i think question is not clear
Select one or more expressions that together represent all solutions to the equation. Your answer should be in degrees.
Assume n is any integer.
4cos(10x)+2=2
Choose all answers that apply
A. -172° + n*36°
B. -90° + n*360°
C. -9° + n*36°
D. 9° + n*36°
E. 90° + n*360°
The expressions are x=9°+n.36° and x= -9°+n36°.
So, options C and D are correct.
What is meant by an expression?A finite combination of symbols that are well-formed in accordance with context-dependent rules is referred to as an expression or mathematical expression in mathematics. Mathematical symbols can represent variables, operations, functions, brackets, punctuation, and grouping to help specify the logical syntax and order of operations. Lambda expressions are a new class of expressions that Alonzo Church and Stephen Kleene introduced in the 1930s for formalizing functions and their evaluation. In mathematical logic and the theory of programming languages, they serve as the foundation for the formal system known as lambda calculus.
Given,
4cos(10x)+2=2
4cos(10x)=0
cos(10x)=0
10x=90°+n360°
x=(90°/10°)+n(360°/10)
x=9°+n.36°
(or)
10x= -90°+n360°
x= -9°+n36°
Therefore, the expressions are x=9°+n.36° and x= -9°+n36°
Hence, options C and D are correct.
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Fill in the table 'using this function rule.
y = -5x+2
x
-1
0
1
2
y
0
0
0
X
4
S
Answer:
7, 2, -3, -8
Step-by-step explanation:
y = -5x + 2 Substitute in -1 for x
y = -5(-1) + 2
y = 5 + 2
y = 7
y = -5x + 2 Substitute in 0 for x
y = -5(0) + 2
y = 0 + 2
y = 2
y = -5 + 2 substitutes in 1 for x
y = -5(1) + 2
y = -5 + 2
y = -3
y = -5x + 2 Substitute in 2 for x
y = -5(2) + 2
y = -10 + 2
y = -8
Helping in the name of Jesus.
Classwork Topic: Solve problems 25 May 2023 1. Jessica and Melissa shared 12 pieces of dried pears. Jessica ate = of the dried pears! Melissa ate . How Pieces did they eat in all? What fraction of the dried eat altogether? many pears did they 2. There were is children playing in the park. One third of the children went home. How many children stayed in the park?
Apologies, but your questions seem to have errors and incomplete information.
For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.
For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.
Please provide complete and accurate information for a precise answer.
I need help with this PLEASE!!!
Answer:
See the image for marked congruences.
1. JM ≅ LM | Given
2. △JML is isosceles | definition of isosceles
3. ∠MJL ≅ ∠MLJ | isosceles triangle theorem
4. m∠MJL = m∠MLJ | definition of ≅
5. JK ≅ LK | Given
6. △JKL is isosceles | definition of isosceles
7. m∠KJL = m∠KLJ | isosceles triangle theorem
8. m∠MJL + m∠KJM = m∠KJL | adjacent angle theorem
9. m∠MLJ + m∠KMJ = m∠KLJ | adjacent angle theorem
10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM | transitive property of =
11. m∠MJL + m∠KJM = m∠MJL + m∠KLM | substitution
12. m∠KJM = m∠KMJ | subtraction
13. ∠KJM ≅ ∠KLM | definition of ≅
14. △KJM ≅ △KLM | SAS theorem
15. ∠JKM ≅ ∠LKM | CPCTC
16. KM bisects ∠JKL | definition of bisector
What’s the factor of the expression?
The answer to this question: B
in a school out of 1200 students,if 24% were girls,how many girls were there
Step-by-step explanation:
288 is girl in the class......
The number of total girls students in school is 288 students out of total students.
Percentage based problem:What information do we have?
Number of total students = 1200
Percentage of girls = 24%
Number of total girls students in school = Number of total students × Percentage of girls
Number of total girls students in school = 1200 × 24%
Number of total girls students in school = 1200 × 0.24
Number of total girls students in school = 288 students
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PLEASE HELP I WILL MARK BRAINLIEST!!!!!
find the slope of the tangent line to the curve y at x. then write the equation of this tangent line. question content area bottom part 1 the slope of the line tangent to the curve y at x is 36. part 2 the equation of the line tangent to the curve y at x is y minus y equals 36 (x minus 3 ).
the equation of the line tangent to the curve y at x = 3 is y = 36x - 102. The slope of the tangent line to the curve y at x = 3 is 36.
The equation of the line tangent to the curve y at x = 3 can be written using the point-slope form of a line, which is:
y - y1 = m(x - x1)
where m is the slope of the line, (x1, y1) is a point on the line, and m and (x1, y1) are known. In this case, m = 36 and (x1, y1) = (3, y). Substituting these values into the equation above, we get:
y - y = 36(x - 3)
y = 36x - 102
So the equation of the line tangent to the curve y at x = 3 is
y = 36x - 102.
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-10-9-8
Which inequality is graphed on the number line?
OA) x>-7
OB) x < -7
C) x ≤ -7
D) xz -7
Answer:
a) x > -7
Step-by-step explanation:
an open circle (blank) means the greater than or less than symbols (< or >) and a close circle (filled in) means ≤ or ≥. the lining to your right looks more bold than the lining to your left so it's an; open circle, on -7, with the lining bold to your left.
in conclusion, x (the open circle) > -7
Two similar polygons have a scale factor of three. The smaller polygon has an area of 42 cm² and perimeter of 50 cm. what is the area of the larger polygon? and what is the perimeter of the larger polygon?
Step-by-step explanation:
a scale factor applies to every line, that means also to every side of the polygon.
the area of a polygon is always created out of the product (multiplication) of 2 dimensions (or sides).
while a perimeter is a pure sum of sides.
so the perimeter grows by the same factor as the sides : scale factor 3.
the perimeter of the larger polygon is therefore :
50 × 3 = 150 cm
and the area of the larger polygon ?
remember, that the area is always the product of 2 sides (or the sum of products of 2 sides).
and so, the scale factor enters these multiplications twice, and it gets therefore squared : 3×3 = 9.
so, the area of the larger polygon is then
42 × 9 = 378 cm²
find the slope of the line passing through the points (6,-7) and (3,-3) .
Answer:
y2-y1 / x2-x1
-4/3
Step-by-step explanation:
Answer:
-4/3
Step-by-step explanation:
When given two points, the slope is found by
m = (y2-y1)/(x2-x1)
= (-3- -7)/(3 -6)
= (-3+7)/(3-6)
= 4/-3
= -4/3
7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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me too
basically yea
Answer:
?????
Step-by-step explanation:
is there any questions you need help with ?
The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6. Terrence owns 36 models cars. How many model cars does Jim own?
The number of Jim's model car is 48
How to determine the number of JIm's carFrom the question, we have the following parameters that can be used in our computation:
Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6
This means that
Jim : Terrence = 8 : 6
Also from the question, we have
Terrence owns 36 models cars
This means that
Terrence = 36
Substitute the known values in the above equation, so, we have the following representation
Jim : 36 = 8 : 6
Multiply by 6
Jim : 36 = 48 : 36
So, we have
Jim = 48
Hence, the number of car is 48
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A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
In one part of a rainforest 3/5 of the frogs are poisonous. what fraction of the frogs are not poisonous?
Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.
In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.
To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).
It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.
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Rick Rich owns a Mercedes dealership. Mercedes has 5 models, 4 standard options packages, and 5 colors. If Rick wants to immediately be able to deliver any car (model, option package, color), how many cars must Rick have on hand?
Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).
To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.
With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.
Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.
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7
Abdul's gas tank is
1
3
full. After he buys 12 gallons of gas, it is
full. How many gallons can Abdul's tank hold?
9
Answer:
27
Step-by-step explanation:
Let T be the capacity of the tank.
Since the tank was 1/3 full and ends up 7/9 full.
\(\frac{7}{9}\)T - \(\frac{1}{3}\)T = 12
Simplifying the left side of the equation, tells us how much 12 gallons fills.
\(\frac{4}{9}\)T = 12
Now we solve for T:
T = 12*9/4
T = 27
Which expression is a sum of a number and a product? O A. 2(x-9) O B. 6x- 4 O c. 4+ 2x O D.
Answer:
Step-by-step explanation:
Option C is the correct answer
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Nicholas is adding by place value from right to left. When he adds the hundredths, he gets 0.46. Describe what his next step should be. NO LINKS!!!!
9514 1404 393
Answer:
record 6 hundredths; add 4 to the numbers of tenths
Step-by-step explanation:
Nicholas needs to write down the 6 and "carry" the 4, adding it to the numbers of tenths.
Depending on the method you've been taught, the 4 may be written above the column with place value of tenths, or it may be written on a separate sum line.
To the nearest degree, what is the measure of the central angle for bathing?
The central angle of Bathing = 108 degrees.
In the given pie chart,
Since we know,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
The whole circle is 360 degrees
which represents 100%.
It is given that,
Bathing = 30%
So have need to find 30% of 360 degrees.
Therefore,
Bathing = (30/100)x360
= (30/10) x 36
= 3x36
= 108
Hence,
The central angle = 108 degrees.
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The complete question is:
To the nearest degree, what is the measure of the central angle for bathing?
Question 5
Find the value of x.
(3x - 14) (2x + 10)°
3x - 14 here, 2x + 10 here. Consequently, X has a value of 14. In algebra, the letter "x" is frequently used to denote a value that is still unknown. It is referred to as a "variable" or "unknown" at times.
How to find the variable X ?In algebra, the letter "x" is frequently used to denote a value that is still unknown. The term "variable" or "unknown" is used to describe it. x in x+2=7 is a variable. Not only can a variable be "y," "w," or any other letter, name, or symbol, it can also be "x." Examine: Variable
Bring the variable to one side of the equation, and then move all the other values to the other side by performing arithmetic operations on both sides of the equation to find the value of x. To determine the answer, simplify the values.
An experiment's independent variable is a variable that stands in for a variable that is being altered. In equations, the independent variable is frequently denoted by the variable x. X is the variable here.
\($$3 x-14-(2 x)=0$$\\\)
We shift every term to the left:
\($3 x-14-(2 x)=0$\)
We combine all the numbers and all the variables.
\($$x-14=0$$\)
All terms containing x are shifted to the left, and all other terms are shifted to the right.
\($$x=14$$\)
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In a group of 20 students, there are 7 boys.
What is the ratio of girls to boys?
O 13:20
O 13:7
07:20
07:13
Answer:
13:7
Step-by-step explanation:
20 - 7 = 13 girls
Girls Boys
13 7
Answer:
it would be 7:20 im pretty sure
Step-by-step explanation:
what a subcategory of a polygon
Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.
What is a polygon?A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.
Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.
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Complete question
How can polygons be considered a subcategory of two-dimensional figures?