Multiplying both sides of an inequality by a negative number reverses the inequality symbol.
How to determine the true inequalities?The table of values is given as:
A: (-16 > -4) (-16 < -4) (-16 = -4)
B: (40 > 8) (40 < 8) (40 = 8
C: (-45 > 15) (-45 < 15) (-45 =15)
D: (35 > -20) (35 < -20) (35 = -20)
In the above list of inequalities, the true inequalities are
-16 < -4 --- because -16 is less than -4
40 > 8 --- because 40 is greater than 8
-45 < 15 --- because -45 is less than 15
35 > -20 --- because 35 is greater than -20
Lastly, when an inequality is multiplied or divided by a negative number, the inequality sign changes
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Answer:
-16 < -4
40 > 8
-45 < 15
35 > -20
Reverses
Step-by-step explanation:
hope this helps
A researcher randomly assigns participants to complete a crossword puzzle with or without music. The time it takes to complete the crossword puzzle is compared between groups. The experimental group in this example is:
Answer:
The music group
Step-by-step explanation:
The experiment group is the group where something is being modified, so the music group is the one having their environment modified.
The airspeed of an airplane is 850 km/hr, and there is a wind blowing southwest at 30 km/hr.
If the airplane needs to head due south, at what angle does the pilot need to fly the plane?
Answer:
α = αG − αZL
thos is the equation for the absoulute angle of attack
Let’s apply this understanding to situations when we’re given the context and function.
A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the exponential function ()=5 where is the time in weeks after the release and is a positive unknown base. According to the model, how many fish of the new species were released initially?
The function [tex]P(t)=5(b)^t[/tex], The initial number of fish species released was 5.
The function [tex]S(t)=152(1.045)^t[/tex], The growth rate is 4.5%
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given the function [tex]P(t)=5(b)^t[/tex], The initial number of fish species released was 5.
The function [tex]S(t)=152(1.045)^t[/tex], The growth rate is 4.5%
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A sweatshirt costs $48 at Hollister. The sales tax rate is 7%. How much will it cost to buy the sweatshirt?
Answer:
$ 51.36
Step-by-step explanation:
To find the sales tax multiply the tax rate by the cost of the product and then add to the cost.
Sales tax = tax rate * cost price
= 7% * 48
= 0.07 * 48
= $ 3.36
Cost price = cost of product + sales tax
= 48 + 3.36
= $ 51.36
The temperature, t, in Burrtown starts at 32°F at midnight, when h = 0. For the
next few hours, the temperature drops 2 degrees every hour.
Which equation represents the temperature, t, at hour h?
OA. t= 2h+32
B. t= -2h+ 32
C. t = 32h-₂
OD. t= -32h+2
You would multiply the change per hour by number of hours to get -2h
That would be added to the starting temperature.
Answer: B, t = -2h + 32
Answer: The answer is B
Step-by-step explanation:
The question says it drops ( which means subtraction) by 2 degrees every hour, so -2h
Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button.
A) Sample size of compound event = 25
B) New Sample size = 36
What is Compound event?
A compound event is one that has more than one sample point. Simple events are less complicated than compound events. These occurrences entail the possibility of multiple occurrences. One is the probability of all possible outcomes of a compound event.
An event that consists of two or more simple events is called a compound event. Simple events are those that can only have one result, whereas complex events can have a variety of distinct results. Compound events can consist of several independent or dependent occurrences, where the result of one event has no bearing on the likelihood of the other.
Given,
Number of buttons in a container = 5
Lucas picks one button, replaces it and then picks another.
Therefore,
Sample size of the compound event
n = 5[tex]\times[/tex]5
n = 25
Now, one more button is added in the container and in total there are 6 buttons.
Lucas repeats the same process again and hence,
Sample size of the new compound event will be,
n = 6[tex]\times[/tex]6
n = 36
Full Question is - Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is ___ Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____
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A group of 18 patrons each owe $15 at a restaurant. What is the total amount owed by all 18 customers?
Answer:
$270
Step-by-step explanation:
18x15=$270
HOPE THAT HELPED:)
Because computers operate so quickly, developers often measure time in milliseconds (which are 1000th of a second). Which operation could we perform in order to find the number of milliseconds in a year
The operation is 365*24*60*60*1000 = 31536*10^6.
As we know the year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Each minute has 60 seconds.
Each second has 1000 millisecond.
Therefore number of milliseconds in a year is
365*24*60*60*1000 = 31536*10^6.
Hence we get the The operation is 365*24*60*60*1000 = 31536*10^6.
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Solve for x.
A. 5
B.7
OC. 6
OD. 8
3
X
5
4
Answer:
6
Step-by-step explanation:
[tex]5(5+3)=4(x+4) \\ \\ 40=4(x+4) \\ \\ 10=x+4 \\ \\ x=6[/tex]
Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.
The student with the correct list of steps is student B
How to determine the correct student?The list of steps is to create a line parallel to line AB
Both students are correct in step (1).
However, the step (2) of student A is incorrect.
This is so because, the student did not provide how points C and G are created
Hence, the student with the correct list of steps is student B
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The product of donnies age and 6 is 72. use variable d to represent donnies age
Answer: D times 6 = 72
D= 12
Step-by-step explanation:
The term product means multiplication. Donnie's age is represented by the letter d, so if the product of d and 6 is 72, or in other words, d times 6 is 72, then d would equal 12
Which statements about the system are true? Select two options.
y = y equals StartFraction 1 over 3 EndFraction x minus 4.x – 4
3y – x = –7
Answer:
no solution
Step-by-step explanation:
y = (1/3)x - 4
3y - x = -7
put the first equation into the second
3(1/3)x - (3)4 - x = -7
x - 12 - x = -7
-12 = -7 can never be true so this is no solution
In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio.
The correct option regarding whether the requirements for a hypothesis test are satisfied is:
D. The conditions are satisfied. The samples are random, and each sample has at least 5 successes and 5 failures.
What are the conditions for an hypothesis test?There are two conditions:
The samples should be random.Each sample should have at least 5 successes and at least 5 failures.These two conditions are satisfied for this problem, hence, researching this problem on the internet, option D is correct.
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Chanda is planning to visit universities over the summer to help decide where she wants to attend college. The first two universities on her proposed route are 6 inches apart on Claudias map. In real life, this distance is 30 miles. What scale does the map use? 1 in = _____ miles.
The map scale to use would be: 1 in. = 5 miles.
What is Map Scale?The scale of a map relates the actual distance of two places to the distance on paper on a scale drawing. It is a ratio between length on the map and distance in real life.
Given that, 6 inches would equal actual distance of 30 miles, let x be the actual distance on ground. We would have:
6/30 = 1/x
Solve for x
x = (30 × 1)/6
x = 5.
Therefore, the scale of the map is: 1 in = 5 miles.
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WILL MARK BRAINLIEST 35 POINTS Write a paragraph proof for this please
The proofing of the triangle is illustrated below.
How to illustrate the proof?AB = c
BC = a
AC = b
h² = b² - x²
h² = a² - y²
a² - y² = b² - x²
a² = b² - x² + y²
Note that x = c - (c - x) = c
a² = b² - (-x)² + y²
a² = b² + c² + y²
Cos A = x/b
cos = adjacent/hypothenuse
x = bcosA
a² = b² + c² - 2bx
a² = b2 + c² - 2bccosA
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party planners recommend that, for every eight quests, two orders of appetizers be provided. which function reflects this ratio
The ratio guest to appetizers at the party was 4 guest per appetizer.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Ratio of guest to appetizers = 8 guest / 2 appetizers = 4 guest per appetizer.
The ratio guest to appetizers at the party was 4 guest per appetizer.
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Sam is rowing a boat away from a dock. The graph shows the relationship between time and Sam’s distance from the dock. Evaluate the function for an input of 6.
Answer:
See below
Step-by-step explanation:
Go across the 'x' axis to '6'....then go UP to the graph to find y = 60
after 6 minutes he has rowed 60 meters
Find the midpoint between
-7 + 4i
and
3 - 2i
Answer:
-2+i
Step-by-step explanation:
-7+4i represents (-7,4) and 3-2i represents (3,-2).
So, the midpoint is (-2,1), which represents -2+i.
How many gallons of pure water must be added to 500 gallons of a 40% saline solution to reduce it to 25% saline solution
Answer:
300 gallons
Step-by-step explanation:
A saline solution is a solution of salt in water.
The percent is the percent of salt in the total amount of solution.
A 40% saline solution has 40% of salt out of the total volume.
Let the amount of pure water needed = x.
The amount of existing 40% solution is 500 gal.
Let the total amount of 25% saline solution made = y.
Equation of volumes of solutions:
500 + x = y
y = x + 500 Eq. 1
Equation of volume of salt:
500 gal of 40% saline solution has 0.4 × 500 gal = 200 gal of salt
Pure water has 0% salt.
The final product is a solution that is 25% saline. Its volume is y.
The volume of salt in the y gallons of 25% saline solution is 25% of y = 0.25y
The equation of salt content is:
200 + 0 = 0.25y
y = 800 Eq. 2
Eq. 1 and Eq. 2 form a system of equations.
y = x + 500
y = 800
Substitute 800 for y in Eq. 1.
y = x + 500
800 = x + 500
x = 300
Answer: 300 gallons of pure water
Using the table below, find the mean and median of the set of data.
Note: Round all numbers to the nearest tenth.
Using their concepts concept, we have that:
a) The mean of the data-set is of 81.6.
b) The median of the data-set is of 80.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, there are 2 + 8 + 6 + 3 + 9 = 28 observations, hence the mean is:
M = (70 x 2 + 75 x 8 + 80 x 6 + 85 x 3 + 90 x 9)/28 = 81.6.
What is the median?The median of a data-set is the 50th percentile, the value that separates the median in two halfs.
This data-set has an even number of elements, hence the median is the mean of the 14th and 15th elements, as 28/2 = 14. Both elements are 80, hence the median is of 80.
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Suppose that tan 0=-5/12 and 90° <0<180°.
Find the exact values of sin
0/2 and
tan
O/2
The exact values of sin θ/2 and tan θ/2 given below as:
sin θ/2 = 0.9806tan θ/2 = 4.99What is the exact values of sin θ/2 and tan θ/2 given that tan θ = -5/12?Given that tan θ = -5/12 and θ lies between 90° and 180°, the values of sin θ/2 and tan θ/2 can be found as follows:
tan θ = -5/12
θ = 180 -tan⁻¹-(5/12)
θ = 157.38
sin θ/2 = sin 157.38/2
sin θ/2 = 0.9806
tan θ/2 = tan 157.38/2
tan θ/2 = 4.99
In conclusion, the values of the sine and tangent are found from the given values.
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please help V'W'is a translation of VW Write the translation rule.
Answer:
(x+11), (y+15)
Step-by-step explanation:
the point v gets translated 11 points to the right, so the translation is x+11.
Point v also gets translated 15 points up, so the translation is y+15
How many of the list 729 positive integers are perfect squares, cubes ,or both?
Answer:
there will be 17 integers!
List :
1
4
9
16
25
36
49
64
81
100
121
144
169
196
225
256
289
They're all squares, like for example, 1^2, 2^2, 3^2, etc
Answer:
cheapt
Step-by-step explanation:
How many ways can seven finalists for a job be selected from eleven interviewees?
Which graph shows y < x² +1?
O
4) Intro
•
What is inequality?
In Algebra, inequality shows the relation between two expressions using the inequality symbol.
The graph shows the equation y<x^2+1 is attached
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The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.
How to graph an inequality?The steps to graph an inequality equation are:
Solve for the variable y in the given equationGraph the boundary line for the inequalityShade the region that satisfies the inequality.Calculation:The given inequality is y < x² + 1
Finding points to graph the boundary line by taking y = x² + 1:
When x = -2,
y = (-2)² + 1 = 4 + 1 = 5
⇒ (-2, 5)
When x = -1,
y = (-1)² + 1 = 2
⇒ (-1, 2)
When x = 0,
y = (0)² + 1 = 1
⇒ (0, 1)
When x = 1,
y = (1)² + 1 = 2
⇒ (1, 2)
When x = 2,
y = (2)² + 1 = 5
⇒ (2, 5)
Plotting these points in the graph forms an upward-facing parabola.
So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.
From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".
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Point A is at (3, -8) and point B is at (7, 3). Point M is the midpoint of point A and point B.
The midpoint of point A and point B is (5, -2.5)
How to determine the midpoint?The coordinates are given as:
A = (3, -8)
B = (7, -3)
The midpoint is calculated as:
(x, y) = 0.5 * (x1 + x2, y1 + y2)
So, we have:
(x, y) = 0.5 * (3 + 7, -8 + 3)
This gives
(x, y) = 0.5 * (10, -5)
Evaluate
(x, y) = (5, -2.5)
Hence, the midpoint of point A and point B is (5, -2.5)
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A solid oblique pyramid has a square base with edges measuring x cm. the height of the pyramid is (x 2) cm.
The volume of a solid oblique pyramid with a square base with edges measuring x cm and height (x + 2) cm is (x³ + 2x²)/3 cm³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The base of the pyramid is x cm while the height is x + 2, hence:
Volume of pyramid = (1/3) * area of square base * height = (1/3) * x * x * (x + 2) = (x³ + 2x²)/3 cm³
The volume of a solid oblique pyramid with a square base with edges measuring x cm and height (x + 2) cm is (x³ + 2x²)/3 cm³
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Kira exercises no less than 40 minutes per day. Use t to represent Kira's amount of exercise (in minutes per day).
Kira's time exercising every day can be represented as t ≥ 40 because she exercises for 40 minutes or more.
How can this situation be represented?This situation can be represented with an inequality. An inequality is an expression that is used to represent variables. This type of expression uses symbols such as >, < or ≥ to represent different variable values.
What inequality is represented in this situation?The expression is: t ≥ 40The inequality represented in this situation implies that Kira exercises is equal or more time than 40 minutes every day.
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Determine the equation of the parabola graphed below. Note: be sure to consider the negative sign already present in the template equation when entering your answer. A parabola is plotted, concave up, with vertex located at coordinates negative one and negative two.
The equation of the parabola graphed is given as follows:
y = a(x + 1)² - 4.
What is parabola and examples?
A parabola is nothing but a U-shaped plane curve. Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix. Terms related to Parabola.The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Considering the vertex given, we have that h = -1, k = -4, hence the equation is:
y = a(x + 1)² - 4
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use the graph to the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 10
The coordinates of QRTW after dilation by factor 10 are (-20,30),(-30,10),(20,-10),(-20,40).
Given that coordinates of QRTW before dilation are (-2,3),(-3,1),(2,-1),(-2,4) and figure QRTW is dilated by factor 10.
We know that if a figure is dilated its area, increases. The new coordinates can be calculated as x*factor from which it is dilated.
Coordinates are the points on the graph surface.
In our figure Q(-2,3), R(-3,1), S(2,-1), T (-2,4).
We have to just multiply each value with 10 to get the new coordinates of QRTW after dilation.
Q after dilation=(-2*10,3*10)=(-20,30)
R after dilation=(-3*10,1*10)=(-30,10)
S after dilation=(2*10,-1*10)=(20,-10)
T after dilation=(-2*10,4*10)=(-20,40)
Hence the vertices of the image QRTW after dilation are (-20,30),(-30,10),(20,-10),(-20,40).
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