Answer:
To solve for x in this equation, you can follow these steps:
Subtract 5 from both sides: 2/3x = -4
Multiply both sides by 3/2 to cancel out the denominator on the left side: x = -6
So the solution for x is -6
So, 2/3x + 5 = 1 becomes 2/3(-6) + 5 = -4 + 5 = 1
What percent is 40 out of 160?
Answer:
Step-by-step explanation:
57
Answer: 25%
Step-by-step explanation:
C varies inversely as J. If we also know that C=7 when J=25 , determine C when J=15. Round your answer to two decimal places!
Answer:
1
Step-by-step explanation:
C•1/J
C•K/J
K=C×J
K=175
when J =15
then C is;
C=K/J
175/15
C=11.67
Which equation matches the function shown in the graph?
2-
0
-1-
-2-
O
RIN
R
A. y sin (x
=
sin (x
D.
No
y
2x
OB. ม =
OC. y sin (x + 7)
=
sin (x-4)
+ 1)
-TT)
-
FR
Ner
Nor
3x
F2
4x
X
The equation for the function shown in the graph is y = sin(x + π/2).
What is the sine function?The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.
Given a graph of a sine function,
which shows the amplitude of 1,
and value of x-intercept is π/2, when y is 0, x is π/2
the equation for sine is
y = a sin(bx)
where a is the amplitude = 1
b is π
y = sin(x),
but given x-intercept π/2,
so, y = sin(x + π/2)
Hence option A is correct.
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Divide $940 among A,B,C in the ratio 1/3 : 1/4 : 1/5
Let L1 be a line that passes through the points (–2, 9) and (1, 3), and let L2 be the line that passes through the points (–4, 10) and (3, –4). Determine whether L1 and L2 are parallel
The two lines L1 and L2 are parallel
How to identify if the lines are parallelFor two lines to be parallel the slope must be equal, hence we calculate the slope of the two lines
The slope, m of the linear function L1 is calculated using the points (–2, 9) and (1, 3)
m = (y₀ - y₁) / (x₀ - x₁)
m = (9 - 3) / (-2 - 1)
m = (6) / (-3)
m = -2
The slope, m of the linear function L2 is calculated using the points (–4, 10) and (3, –4)
m = (y₀ - y₁) / (x₀ - x₁)
m = (10 + 4) / (-4 - 3)
m = (14) / (-7)
m = -2
The lines are parallel
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y=4x graph each function
Points are (0,0) and (2,8).
What is the gradient?
The vector field f's value at a point p in the vector calculus is the "direction and rate of fastest increase" for a scalar-valued differentiable function f with many variables.
Here, we have
Given: y = 4x
The number in front of the x is the gradient (slope). This number represents the amount of up or down for a given amount of long.
If the number in front of the x (coefficient) is positive the 'slope' goes up. If the coefficient is negative it means the 'slope' is down.
Now, substitute any value you chose into x, multiply it by 4 and you have your value for y
Let x = 0,
y = 4(0) = 0
So this can be our first point on the graph.
(x₁, y₁) ⇒ (0,0)
Let x = 2
y = 4(2) = 8
So this can be our second point on the graph.
(x₂, y₂) ⇒ (2,8)
Now, we draw a line through them extending it to the edges of the axis.
Hence, Points are (0,0) and (2,8).
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NO LINKS!!
Underline the hypothesis and circle the conclusion in the following conditional statement. Then write the converse, inverse, and contrapositive. Determine whether each statement is true or false.
Conditional: If the stars are visible, then it is night.
Converse:
Inverse:
Contrapositive:
The hypothesis is "the stars are visible".
The conclusion is "it is night".
This is because a conditional follows the format of "if hypothesis, then conclusion". It shortens to "If P, then Q".
It's fairly clear that the original conditional is true. There are some extremely rare exceptions, but mostly stars are only visible at night.
--------------------------
The converse is "If it is night, then the stars are visible".
Reason: The original "If P, then Q" format flips to "If Q, then P" when forming the converse.
The converse is false. The fact that it is night does not automatically lead to the stars being visible. For example, storm clouds at night can obscure the stars.
--------------------------
The inverse is "If the stars aren't visible, then it is not night".
We negate both the hypothesis and conclusion. The format of the inverse is "If not P, then not Q".
Like the previous statement, the inverse is false. Why? Because the stars not being visible doesn't automatically mean it's not night. We could have storm clouds covering up the stars. Or perhaps the city has a lot of light pollution to drown out the stars.
The converse and inverse have the same truth value, as they are equivalent statements (just phrased slightly different ways).
--------------------------
The contrapositive is "If it's not night, then the stars aren't visible".
The original conditional "If P, then Q" leads to the contrapositive "If not Q, then not P". We swap the positions of P and Q. Also, we negate each piece. In a sense, we combine both the inverse and converse operations to get a contrapositive.
The contrapositive is true because "not night" of course means "day", in which the stars aren't present in the sky. The contrapositive and original conditional have the same truth value. The contrapositive is a way to rephrase the original conditional.
Answer:
Hypothesis: "the stars are visible"
Conclusion: "it is night"
Converse: "If it is night, then the stars are visible" - false.
Inverse: "If the stars are not visible, then it is not night." - false.
Contrapositive: "If it is not night, then the stars are not visible" - true.
Step-by-step explanation:
Conditional statement
"If this happens, then that will happen."
Hypothesis: The part after the "if".Conclusion: The part after the "then".Given conditional statement:
"If the stars are visible, then it is night."Therefore:
Hypothesis: "the stars are visible"Conclusion: "it is night"Converse statement
The converse of a conditional statement is formed by switching the hypothesis and the conclusion.
Therefore, the converse of the given conditional statement is:
"If it is night, then the stars are visible"This is a false statement as the stars will not be visible if there is cloud cover at night.
Inverse statement
The inverse of a conditional statement is formed by negating the hypothesis and the conclusion.
Therefore, the inverse of the given conditional statement is:
"If the stars are not visible, then it is not night."This is a false statement as the stars will not be visible if there is cloud cover at night.
Contrapositive statement
The contrapositive of a conditional statement is when both the hypothesis and conclusion are negated and then switched.
Therefore, the contrapositive of the given conditional statement is:
"If it is not night, then the stars are not visible"It is difficult to say if this is a true or false statement without more information, as it is possible to see bright stars during the daytime through a telescope or a really powerful pair of binoculars.
If we are to assume that "visible" means "visible to the eye" without any magnification assistance, then the statement is true (if we exclude the sun, which is a star).
If a person spends $10 a week on coffee (assume $500 a year), what would be the future value of that amount over 10 years if the funds were deposited in an account earning 3 percent? Use Exhibit 1-B. (Round your discount factor to 3 decimal places and final answer to the nearest whole dollar.)
Answer:
Step-by-step explanation:
a PERSON SHOULD SPEND AT LEAST 35 DOLLARS A WEEK ON COFFEE
please do I need help
Answer:
W
Step-by-step explanation:
Which graph correctly solves the system of equations below? (1 point) y = x2 + 2x + 3 y = −x2 + 3
Jackson wrote different patterns for the rule subtract 5 select all the patterns he could have written
When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include
A. 27, 22, 17, 12, 7
D. 100, 95, 90, 85, 80
What is the expression regarding the pattern?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.
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Complete question
Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.
27, 22, 17, 12, 7
5, 10, 15, 20, 25
55, 50, 35, 30, 25
100, 95, 90, 85, 80
75, 65, 55, 45, 35
Betina is going to put floor tiles down in the bathroom. Each tile is a square and measures 75mm down one side. What is the area of one tile? mm²
Answer:
5625mm²
Step-by-step explanation:
The area of a square is found by multiplying the length of one side by itself. So if each tile is a square and measures 75mm on one side, then the area of one tile is:
75mm x 75mm = 5625mm²
Elabora un dibujo libre en el que consideres figuras con distintas transformaciones
The production of congruent figures involves stiff rigid transformation Even if you could imagine them as forms that "appear exactly the same," congruent figures.
Rigid transformation: what is it?During accurate modification of a geometric object, distance between each point pair is maintained. In other words, precise transformations maintain an object's size and shape. For instance, the angles and lengths of a triangle are preserved throughout a rigid transformation. Imagine a stiff shape, such as one made of cardboard, distorting. Even when the shape is rotated, mirrored, and moved left and right, nothing changes.
Here,
When I used putty to create a mold, it was the opposite. After that, users can stretch and twist the objects.
These ratios are not exact though. The distance between every pair of points is altered when the shape is stretched.
Applying rotations, reflection, and translations—three different forms of transformations—can result in congruent shapes.
In reality, by mixing any or all of these three transformations, any congruent shape pairs can be matched to one another.
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The complete question is " Do rigid transformations make congruent figures?"
For what values of the variable does each of the following expressions make sense? square root of 1+3a/25
Answer:
the expression "square root of 1+3a/25" makes sense for all values of a that are greater than or equal to -8.333.
Step-by-step explanation:
The square root of a number is only defined for non-negative values of that number. Therefore, for the expression "square root of 1+3a/25" to make sense, the value inside the square root must be non-negative.
1+3a/25 >= 0
This inequality can be rearranged to get the values of a for which the expression makes sense.
3a/25 >= -1
3a >= -25
a >= -25*3/3
a >= -25/3
a >= -8.333
Therefore, the expression "square root of 1+3a/25" makes sense for all values of a that are greater than or equal to -8.333.
Write a slope-intercept equation for a line passing through the point (5, - 3) that is parallel to the line 5x + 7y =9. Then write a second equation for a line passing through the point (5, - 3) perpendicular to the line 5× + 7y = 9.
The equation of the line passing through the point (5, - 3) that is parallel to 5x + 7y = 9 will be 5x + 7y - 4 = 0.
What is the equation of a parallel line?Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The equation of the line is given below.
5x + 7y = 9
The equation of the line that is parallel to the line is given as,
5x + 7y + d = 0
The line is passing through (5, -3). Then we have
5(5) + 7(-3) + d = 0
25 - 21 + d = 0
4 + d = 0
d = - 4
The equation of the line passing through the point (5, - 3) that is parallel to 5x + 7y = 9 will be 5x + 7y - 4 = 0.
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DUE IN 30 MINS (6th grade) PLEASE PLEASE HELP ME ASAAP
The ages of people visiting a senior center one afternoon are recorded in the line plot.
A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 40 to 95. There is one dot above 45 and 80. There are two dots above 70 and 85. There are three dots above 75.
Does the data contain an outlier? If so, explain its meaning in this situation.
No, there is no outlier. This means that the people were all the same age.
No, there is no outlier. This means that the people are all around the mean age.
Yes, there is an outlier of 45. This means that the average person at the center is 45 years old.
Yes, there is an outlier of 45. This means that one person's age was 45, which is 25 years younger than the next closest age
{Please follow the rules Dos and Don't}
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Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.
Hope this helps! :)
Step-by-step explanation:
Answer:
D
GIVE HIME BRAINLIEST
Step-by-step explanation:
he formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = r equals StartFraction C Over 2 pi EndFraction..
Find the radius of a circle that has a circumference of 16.
The radius of a circle that has a circumference of 16 is given by 8/π
How to calculate radius of a circle?The formula for the circumference of a circle is C = 2πr
Where,
r = the radius and
C = the circumference
From
C = 2πr
r = C / 2π
When C = 16
r = 16 / 2π
r = 8/π
In conclusion, the radius of the circle is 8/π
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“solve the equation by graphing. check your solution” only 5 and 6 need to be done!! attach picture with graph please xoxoxo i will mark brainliest if done like said please. i need this
Answer: Pictures below show intersection point on the graph.
Step-by-step explanation:
What is the answer for these expressions
a) 5-5 is a numerical expression
b) c-5 is a variable expression where, variable is c
c) 8÷x+9 is a variable expression where, variable is x
d) 100·6 is a numerical expression
What is numerical and variable expression?When an expression can be converted into a number value, it is said to be a numerical expression.Examples include 5-5, which evaluates to 0, and 8/2, which evaluates to 4. An expression that contains one or more variables and can have a variety of values depending on the particular values given to the variables is known as a variable expression.Examples include x + 2 (where x is a variable), 3y (where y is a variable), and a - b. (where a and b are variables).To learn more about expression refer to:
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0.15 | 0.3 | 1 | 2 | 2.7 | 5.4 | 6.4 | ? | ?
A 12.2, 12.9
B 9.5, 13.6
C 7.1, 8.6
D 6.8, 7.5
The next two numbers on the number pattern are given as follows:
A 12.2, 12.9.
How to obtain the next two points on the number pattern?To obtain the next two points on the number pattern, first we must identify what is the pattern.
The pattern is given as follows:
The double of an amount is calculated.Then 0.7 is increased to double the amount, and we return to step 1, doubling the value.The final term is 6.1, which is obtained after the addition of 0.7 to 5.4. Double 6.1 is obtained multiplying the number by 2, as follows:
2 x 6.1 = 12.2.
Then the number obtained after 0.7 is added to 12.2 is given as follows:
0.7 + 12.2 = 12.9.
Meaning that the correct option to complete the number pattern is given by option A.
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Find the perimeter of each polygon
The perimeter of polygon ABC = 67.4
The perimeter of polygon PQRS = 78.8
What is the Perimeter of a Polygon?The perimeter of a polygon is calculated by adding the lengths of all sides of the polygon together.
What is the Two-tangents Theorem?The Two-Tangent Theorem states that if two tangents are drawn to a circle from the same external point, then the tangents are congruent (have the same length).
Perimeter of polygon ABC = AB + BC + AC
AB = 10.5 + (23.2 - 11.2) = 22.5 [based on the Two-Tangent Theorem]
BC = 23.2
AC = 10.5 + 11.2 = 21.7
Perimeter of polygon ABC = 22.5 + 23.2 + 21.7 = 67.4
Perimeter of polygon PQRS = PQ + QR + RS + PS
PQ = 25
PS = 21.8
QR = 13 + 4.6 = 17.6
RS = 4.6 + 9.8 = 14.4
Perimeter of polygon PQRS = 25 + 21.8 + 17.6 + 14.4 = 78.8
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The new shark tank at the city aquarium is in the shape of a rectangular prism. It is 87 ft long by 36 ft wide by 15 ft deep. deep. To make the tank livable for the sharks, the aquarium workers treat the water using bags of salt. The amount of water a bag of salt can treat is known in cubic yards.
Find the volume of water in the tank in cubic yards. Use the table of conversion facts, as needed.
To make the tank livable for the sharks, a bag of salt must be added for each 1.1 yds3 of water. The aquarium doesn't have any salt on hand and the salt can only be purchased in whole bags. How many bags of salt must be purchased to treat the water?
If each bag of salt costs $4.85, how much must the aquarium pay for salt to treat all the water in the new shark tank?
Answer:
Step-by-step explanation:
Answer:
1. The volume of water in the tank in cubic yards can be calculated by multiplying the length, width, and depth of the tank in feet by the conversion factor of 0.037037 yds3/ft3:
87 ft x 36 ft x 15 ft x 0.037037 yds3/ft3 = 997.78 yds3
2. To treat the water, the aquarium must purchase 998 bags of salt, as 1.1 yds3 of water requires one bag of salt.
3. The aquarium must pay $4,835.30 for the salt to treat the water in the new shark tank. This is calculated by multiplying the number of bags of salt (998) by the cost of one bag of salt ($4.85).
If a1=6 and an=an-1 -2
Answer:
a₄ = 0
Step-by-step explanation:
using the recursive rule [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 2 and a₁ = 6 , then
a₂ = a₁ - 2 = 6 - 2 = 4
a₃ = a₂ - 2 = 4 - 2 = 2
a₄ = a₃ - 2 = 2 - 2 = 0
J
Question 13 of 15
Which number is irrational?
OA. 1.618
5
OB. - 19/
O C. √6
OD. 43
Answer:
C is irrational--6 is not a perfect square.
A mother changes her baby 6 times a day. How many diapers will be deeded in a year?
1 year = 365 days
1 day => 6 diapers
1 year => 365 × 6 = 2190 diapers changed per year
Please help me with this question
A function is an equation with one solution to every value of x for the variable y. A input of a specific type is paired with exactly 1 output by a function.
What do functions mean?Quantities and their modifications, equations and surrounding structures, locations of forms and forms themselves are all included in the field of mathematics. The term "function" describes the connection between a group of inputs, of which each has a corresponding output. A function is an association between inputs and outcomes in which each input results in a single, unique output. Functions are typically denoted by the letter f. (x). The input is just a variable x. There are four primary categories of functionality available. depending on the following elements: on.
Given:
A function is an equation with one solution to every value of x for the variable y.
Each argument of a specific type is paired with absolutely one output by a function. Typically, functions are named f(x) or g instead of y. (x). When x equals 2, as directed by f(2), we should choose the value of given function.
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please help asap
• it would mean sm and make my day
The compound inequality for the graph given is -2 < x < 5.
How to find the compound inequality ?When a compound inequality is graphed such that there is an open circle instead of a filled - in circle over a number, then it means that x is either greater than this value, or less than this value. In other words, x is not equal to this value.
The circles over - 2 and 5 are not filled in which means that x is greater or less than - 2 and 5.
x is less than 5 because the arrow goes from 5 to infinity and x is greater than - 2 for the same reason.
The compound inequality is therefore:
-2 < x < 5
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Find an ordered pair (x, y) that is a solution to the equation.
4x-y=3
(x, y) = (_, _)
Answer:
(0, -3)
Step-by-step explanation:
You want a point on the graph of 4x -y = 3.
PointIt is often convenient to choose an intercept when looking for a point that will satisfy the equation. Here, it is convenient to set x=0 to obtain y=-3.
A solution ordered pair is (0, -3).
__
Additional comment
Here, it will be more convenient to choose a value for x. Choosing a value for y can result in fractions becoming involved for the values of x. We prefer to avoid that.
y = 4x -3 . . . . . . y=-3 when x=0; y=1 when x=1, so (1, 1) is another solution
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Out of 50 students in a class 40 percent are girls If 30% of the girls wear apecticals wear spectrals Number of gists. Number of boys Number of girls wearing specticals.
Answer:
Out of 50 students in a class, 40% are girls, meaning there are 50 x 40% = 20 girls in the class.
And the number of boys is 50 - 20 = 30 students.
If 30% of the girls wear spectacles, that means 30/100 x 20 = 6 girls wear spectacles.
And the number of girls not wearing spectacles is 20 - 6 = 14.
So the total number of girls wearing spectacles is 6, and the number of boys is 30, and the number of girls not wearing spectacles is 14.
What are two things that are the same for an angle of elevation in an angle of depression
Answer:
sight line & horizontal line
Step-by-step explanation:
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