All the expressions like (a), (b) and (c) are true sentences in the form of inequality.
What is inequality expression?
The inequality expression in a sentence consist of two algebraic expression with the inequality symbols. And the solution of an inequality is a number which when substituted for the variable to makes the inequality as a true statement.
According to the question, the given inequality expressions in the form of the sentence is as follows:
(a) 2(3/4) > 2.68;
(b) 7.895 x 10² > 5.43 x 10³;
(c) √63 > 8.11;
(d) |-1.5| > |3.2|
In this, all the expressions like (a), (b) and (c) are true sentences in the form of inequality.
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Find the equation of the line through the point -7, 2 and parallel to y=2/5x-1/2
Y=
IT MEANS THE GRADIENT OF THE NEW EQUATION IS GOING TO BE
[tex] \frac{2}{5} [/tex]
TOO
WE CAN SUBSTITUTE IN THE GENERAL EQUATION OF A STRAIGHT LINE y=mx+c TO GET C[tex]2 = \frac{2}{5} ( - 7) + c \\ 2 = \frac{ - 14}{5} + c \\ c = 2 + \frac{14}{5} \\ c = \frac{24}{5} [/tex]
THE EQUATION PARALLEL TO THE ONE GIVEN NOW IS
[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]
The result of (2)x(-7)=
Answer:
-14 is the correct answer
If x and y vary directly and y is 24 when x is 6, find y when x is 9.
Y is 2.25 when x is 9.
What is direct proportional?The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. It is symbolized by the proportional sign (). According to the direct proportion formula, if y is directly proportional to x, we can state that y = kx, where k is a constant. The generic form of the direct proportion equation is also y = kx. where k is the proportionality constant.
Given Data
If x and y vary directly and y is 24 when x is 6, find y when x is 9.
It is direct proportional
So,
y = kx
To find constant,
k = [tex]\frac{y}{x}[/tex]
x = 6 and y = 24
k = [tex]\frac{6}{24}[/tex]
k = [tex]\frac{1}{4}[/tex]
When x = 9,
k = [tex]\frac{1}{4}[/tex]
y = kx
y = [tex]\frac{1}{4}[/tex](9)
y = [tex]\frac{9}{4}[/tex]
y = 2.25
Y is 2.25 when x is 9.
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The Tour de France is a bicycle road race. The whole race is made up of 21 small races called stages. The table shows how several stages compare to the whole Tour de France. Order the stages from shortest to longest.
The stages of the race ordered from shortest to longest are:
Stage 21 : 4%
Stage 4: 0.044 x 100 = 4.4%
Stage 8: (6 / 125) x 100 = 4.8%
Stage 1 : (11 / 200) x 100 = 5.5%
Stage 17 : 0.06 x 100 = 6%
What are the stages?The first step is to convert the given decimals, percentages and fractions to the same measure to aid comparison. All would be converted to percentages.
Percentage is the fraction of an amount expressed as number out of 100. In order to convert a number to a percentage, multiply by 100. The sign that represents percentage is %.
Stage 1 : (11 / 200) x 100 = 5.5%
Stage 4: 0.044 x 100 = 4.4%
Stage 8: (6 / 125) x 100 = 4.8%
Stage 17 : 0.06 x 100 = 6%
Stage 21 : 4%
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the missing part.
l = 8, w = 4, h = 2
Find the diagonal (d) of the rectangular solid.
The diagonal of the rectangular solid that has l = 8, w = 4, h = 2, is calculated as: d = 2√21 units.
How to Find the Diagonal of a Rectangular Solid Shape?A rectangular solid has a length (l), height (h), and width (w). The diagonal of the rectangular solid, d, can be calculated using the given formula below:
Diagonal of rectangular solid (d) = √(l² + w² + h²).
Given the following dimensions of the rectangular box:
Length of the rectangular box = 8 unitsWidth of the rectangular box = 4 unitsHeight of the rectangular box = 2Substitute l = 8, w = 4,a nd h = 2 into the equation d = √(l² + w² + h²):
Diagonal of rectangular solid (d) = √(8² + 4² + 2²)
Diagonal of rectangular solid (d) = √(64 + 16 + 4)
Diagonal of rectangular solid (d) = √84
Simplify √84 further
Diagonal of rectangular solid (d) = √(4 × 21)
Diagonal of rectangular solid (d) = 2√21 units
Therefore, the rectangular solid has a diagonal that is: 2√21
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the balance of bob's account is overdrawn $21. jim account is $7 overdrawn. what is the difference between their account balances
Answer: -14
Step-by-step explanation:
-21 - (-7)
-21 + 7
-14
I beg for help please!
What is the equation of the line in slope-intercept form?
Answer:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.
Answer:
y = x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 10) ← 2 points on the line
m = [tex]\frac{10-6}{4-0}[/tex] = [tex]\frac{4}{4}[/tex] = 1
the line crosses the y- axis at (0, 6 ) ⇒ c = 6
y = x + 6 ← equation of line
A basketball player attempts 15 baskets in a game. He makes 9 out of the attempted baskets.
Which describes the number of the baskets the player made to the number of baskets the player attempted?
Answer: 3:5
Step-by-step explanation:
We are looking for the ratio of baskets made to baskets attempted
made: attempted
9:15
We can divide each number by 3
9/3: 15/3
3:5
The ratio of baskets made: attempted is 3:5
please help asap for maatth
Answer:
B
Step-by-step explanation:
Reflection over x axis
This is a reflection over the x-axis (B)
Marisol claims that each pair of remote interior angles in a triangle has two exterior angles. Do you agree? Use a diagram to support your answer.
Choose the correct answer below.
О А.
A.
No. 23 is the only exterior angle for
remote interior angles 21 and 22.
OB.
No. 23 is the only exterior angle for
remote interior angles 21 and 22.
O C.
Yes. 21 and 22 are both remote
interior angles for 23 and 24.
OD.
Yes. 21 and 22 are both remote
interior angles for 23 and 24.
Find P on NM that is the given fractional distance from N to M. Such that, 1/5 is the fractional distance from N to M, and N(-3,-2),M(1,1)
please help
The point P is ( -2.2 , -1.4) on the line segment NM, which represents the fractional distance from N to M.
Given:
Fractional Distance from n to m is 1/5 and
points are N (-3, -2), M (1, 1).
From the graph we can see that the distance from M to R is 4,
And the distance between N to R is 3.
So, 1/5 MR = 1/5 (4)
=4/5
And, 1/5 NR=1/5 (3)
=3/5
By substituting these values in N (-3, -2),
We get a point p on MN.
-3 + 4/5 = -2.2
and -2 + 3/5 = -1.4
Hence p(-2.2, -1.4) is the point on line segment NM.
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explain how you solved for x in problem 12
btw x=2
The answer is x=2.
How to find the x?
[tex](6^{x}) ^{10} =(6^{12} )^{2} /6^{4}[/tex]
[tex]6^{10x} =(6^{12}) ^{2} -6^{4}[/tex]
10x=24-4
10x=20
x=20/10
x=2
A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. The way to express huge numbers in terms of powers is to multiply them by themselves n times, or mn, if m is a positive number and n is its exponent. An exponent is a sign that is printed above and to the right of a mathematical expression to indicate the action of raising to a power. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. This might be the number 64. In this case, the exponent is 4 and the base is 6.To more learn about exponents refers to:
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If Vivian is eating pizza, then she is at Big Slice Pizza.
If Vivian is at Big Slice Pizza, then she is eating pizza.
Is the second conditional the contrapositive, converse, or inverse of the first conditional?
contrapositive
converse
inverse
The second conditional statement is the converse of the first.
A conditional statement has two phrases and each phrase starts with an 'if' and the other with a 'then'.
Symbolically, it is also expressed as 'p ⇒ q'.
The converse of such a statement is expressed as 'q ⇒ p'.
The first conditional statement given is 'If Vivian is eating pizza, then she is at Big Slice Pizza.'
The second conditional statement given is 'If Vivian is at Big Slice Pizza, then she is eating pizza.'
From the definition of the converse of a conditional statement, the second statement is clearly the converse of the first statement.
Contrapositive of the conditional statement 'p ⇒ q ' is 'not q ⇒ not p'.
Inverse of the conditional statement 'p ⇒ q ' is 'not p ⇒ not q'
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Kristen has 4 yard of ribbon that she wants to cut into 6 equal parts to make hair ribbons for her
daughter's 6 dolls. How long will each doll's hair ribbon be?
Each ribbon will be of 2/3 yards for her 6 dolls .
What is division ?Division is one of the four fundamental arithmetic operations, or the process by which two numbers may be joined to produce a new number. Addition, subtraction, and multiplication make up the remaining operations. A division in mathematics is the dividing of a sum into equal portions. One can divide a group of 20 people into four groups of five, five groups of four, and so on.
Calculationlength of each ribbon = 4 / 6 = 2/3 yards each
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Please help first person will get all the brainliest
Which equation does not represent a direct variation? *
O y = -x
O y = 3x + 2
O y=-3x
O y = 0.5x
y = -x equation does not represent a direct variation.
y = 3x + 2
y=-3x
y = 0.5x
equations are represent a direct variation
How can you tell if there is a direct variation?
Simply build ratios from a table of values if you have one and wish to determine whether the data indicate a direct variation. You have a straight variation if all the ratios are the same.
The constant of variation is k = = 3, for instance, if y varies straight as x and y = 6 when x = 2. So, y = 3x serves as the equation to describe this direct variation.
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Golfer Lexi Thompson is one of the top golfers on the LPGA tour. The distribution of scores for each of
the more than 700 rounds over her LPGA career is approximately normal with a mean of about u= 70.6
strokes and a standard deviation of about o= 3.2 strokes.
Use the empirical rule to answer the following questions.
What percent of Thompson's Scores are greater than 73.8?
What percent of Thompson's scores are between 64.2 and 67.4
The percent of Thompson's Scores that are greater than 73.8 is 95%
The percent of Thompson's Scores that are between 64.2 and 67.4 is 69% to 94%
How to find what percent of Thompson's Scores are greater than 73.8given data
a mean of about 70.6 strokes
a standard deviation of about 3.2 strokes
Applying the 68%, 95%, and 99.7% Rule. This rule says that standard deviations is changed to percentages when:
68% of scores fall within 1 Standard Deviation of the mean.95% of all scores fall within 2 Standard Deviation of the mean.99.7% of all scores fall within 3 Standard Deviation of the mean.Hence we calculate how many standard Deviations that gives 73.8 as follows
mean ± standard deviationsince the73.8 is greater than the mean we add the SD to the mean
70.6 + 3.2 = 73.8
73.8 is 1 SD but we are looking for value greater than 73.8. This should be just above 73.8, hence from 2 SD which is 95%
What percent of Thompson's scores are between 64.2 and 67.4
Applying the 68%, 95%, and 99.7% Rule
mean ± standard deviationThe numbers asked is less than the mean hence we subtract
70.6 - 3.2 = 67.4 ( 1 SD = 68% )
70.6 - 3.2 - 3.2 = 64.2 ( 2 SD = 95% )
The question asks the percent of Thompson's scores between 68% and 95%. This is 69% to 94%.
The question said between hence the end values are not inclusive
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Sheila is a manager at the Adam's Mark hotel and has a yearly salary of $65,500. If Sheila pays
21% in taxes and gets paid on the 15th and last day of the month, how much is each paycheck?
Show your work.
Answer:
$2139.58
Step-by-step explanation:
First, you find how much each paycheck is worth with taxes excluded, since she is only keeping 79% of the money you multiply 65,000 by 0.79=51350. Since she is getting paid twice a month, she is getting 24 paychecks a year. So you diving 51350 by 24 to get 2139.58333 but round down to 2139.58
suppose that you have 15 quarters, 10 dimes, 10 nickels, and 10 pennies in your pocket. you reach in and choose a coin at random so that you can give it to your child. what is the expectation? (round your answer to two decimal places.)
If you have 15 quarters, 10 dimes, 10 nickels and 10 pennies, then the probabilities of getting quarter, dimes, nickels and pennies are 0.33, 0.22, 0.22 and 0.22 respectively.
Total number of quarters = 15 quarters
Total number of dimes = 10 dimes
Total number of nickels = 10 nickels
Total number of pennies = 10 pennies
Total number of coins = 15+10+10+10 = 45
The probability of getting a quarters = 15/45
= 0.33
The probability of getting a dimes = 10/45
= 0.22
The probability of getting a nickel = 10/45
= 0.22
The probability of getting penny = 10/45
= 0.22
Hence, if you have 15 quarters, 10 dimes, 10 nickels and 10 pennies, then the probabilities of getting quarter, dimes, nickels and pennies are 0.33, 0.22, 0.22 and 0.22 respectively.
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7.
4
-2698
13
=m/4 =26/13
The value of m is 104/13
What is Fraction?
A fraction, which also symbolizes a piece of a whole, is a mathematical symbol for any number of equal parts. When expressed in common English, a fraction, such as 1/2, 8/5, or 3/4, represents the number of components of a specific size.
The value of m must be determined.
As can be seen in light of the query
The formula is m/4 = 26 / 13
The equation will now be solved for m m/4 = 26 / 13
The result of multiplying 4 on both sides is
(m/4) x 4 = (26/13) x 4
m = (26 x 4)/13
m = 104/13.
Consequently, m has a value of 104/13.
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Quadrilateral STUV is a rectangle, SU=z+53, and TV=2z. What is the value of z?TSVURz=Submit
Recall that the diagonals of a rectangle are congruent. Therefore, we can set the following equation:
[tex]z+53=2z.[/tex]Solving the above equation for z, we get:
[tex]\begin{gathered} 2z-z=53, \\ z=53. \end{gathered}[/tex]Answer:[tex]z=53.[/tex]Find the remainder when 4x3 +6x2 −8x − 2 is divided by each of the
following:
x−1 x−2
x−3 x+1
x+2 x+3
Using the remainder theorem, the remainder of the divisions of p(x) = 4x³ + 6x² - 8x - 2 by the polynomials are given as follows:
x - 1: 0.x - 2: 38.x - 3: 136.x + 1: 8x + 2: 6x + 3: -32.What is the remainder theorem?Suppose that we have a polynomial p(x), that is divided by a linear term x - a, the remainder is given by the numeric value of p(x) at x = a, that is, p(a).
For this problem, the polynomial is given as follows:
p(x) = 4x³ + 6x² - 8x - 2.
Then the remainder for each division is given as follows:
x - 1: a = 1, p(a) = 4(1)³ + 6(1)² - 8(1) - 2 = 0.x - 2: a = 2, p(a) = 4(2)³ + 6(2)² - 8(2) - 2 = 38.x - 3: a = 3, p(a) = 4(3)³ + 6(3)² - 8(3) - 2 = 136.x + 1: a = -1, p(a) = 4(-1)³ + 6(-1)² - 8(-1) - 2 = 8.x + 2: a = -2, p(a) = 4(-2)³ + 6(-2)² - 8(-2) - 2 = 6.x + 3: a = -3, p(a) = 4(-3)³ + 6(-3)² - 8(-3) - 2 = -32.More can be learned about the remainder theorem at https://brainly.com/question/27749132
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Given the functions f(x) = 3x - 1 and g(x) = 3x + 4, which operation results in the smallest coefficient on the x term?
The operation of Subtraction can be used to result in the smallest co-efficient term on the x term.
In the given question, Two functions are given f(x) = 3x - 1, and g(x) = 3x + 4. Now we have to find out which mathematical operation results in the smallest co-efficient term on x. We know that the basic Operations are:
AdditionSubtractionMultiplicationDivision=> Now, we use the operation of Subtraction for the two functions. Which can be calculated by: f(x) - g(x), Calculating we get:
=> (3x - 1) - (3x - 4)
=> 3x -1 -3x + 4
=> 3
Here we get the Coefficient of x = 0 which is the lowest.
Hence, Subtraction will be used
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A
D
C
If m4BAC = 45°, what is mZDBC?
22.5°
45°
50°
B
35°
The measure of m∠DBC in the semicircle is 90°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
From the image:
∠BAC = ∠BDC = 45° (angle in same segment are equal)
∠BCD = 90° (angle subtended at circumference by semicircle)
In triangle BDC:
∠BDC + ∠BCD + ∠DBC = 180° (angle in a triangle)
45 + 90 + ∠DBC = 180°
∠DBC = 90°
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HELPP ME ASAP
Which point is located on the y axis iready
Answer:
-3
Step-by-step explanation:
your x-axis has to be 0 then the point on the y-axis is the y-intercept
The area of a rectangular pool is 7084 m^2.
If the length of the pool is 92 m, what is its width?
I need help on it too. Can any one help me find the answer
The formula t= represents the time t in seconds that it takes an object
4
to fall from a height of h feet. If a rock falls from 125 feet, estimate how long
it will take the rock to hit the ground. Estimate the square root to the nearest
integer.
Answer: 3 seconds
Step-by-step explanation:
t = √h / 4
t = (√125) / 4
t = (5√5) / 4
t = 2.795 seconds
Because integer numbers can't be decimals so we round it to 3.
99 is what percent of 150 please help?
Answer:
66%
Step-by-step explanation:
99 of 150 is 66%
and 150 of 99 is 151%
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
The unknown measures of the right angle triangle are m∠V = 69° , RV = 12.85 and m∠R = 21°
How to find the angles and side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees.
Therefore, the side and angles of a right triangle can be found using trigonometric ratios.
Hence,
tan v = opposite / adjacent
opposite side = 12
adjacent side = 4.6
Therefore,
tan V = 12 / 4.6
v = tan⁻¹ 2.60869565217
v = 69.0265065627
m∠V = 69°
Let's find m∠R
m∠R = 180 - 69 - 90
m∠R = 21°
Let's find RV
sin 69° = opposite / hypotenuse
sin 69 = 12 / h
cross multiply
h = 12 / sin 69
h = 12 / 0.93358042649
h = 12.8537402885
RV = 12.85 units
Therefore, the unknown side and angles of the triangle are as follows:
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What does the standard deviation measure?
The spread and consistency of data.
i need help with this, thanks
Answer:
m < 1 = 146
m < 3 = 146
m < 4 = 34
Step-by-step explanation:
Angles 2 and 3 are suplementary angles that equal 180
angle 2 + angle 3 = 180
34 + angle 3 = 180
angle 3 = 180 - 34
angle 3 = 146
angles 2 (34 degrees) and 4 and angles 1 (146 degrees) and 3 are congruent so...
m < 1 = 146
m < 2 = 34
m < 3 = 146
m < 4 = 34
Hope this helps! :)
Answer:
[tex]m \angle 1= \boxed{146}\;^{\circ}\\\\m \angle 3= \boxed{146}\;^{\circ}\\\\m \angle 4= \boxed{34}\;^{\circ}[/tex]
Step-by-step explanation:
Angles on a straight line sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠1 + 34° = 180°
⇒ m∠1 = 146°
Vertical Angle Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Applying the Vertical Angle Theorem:
m∠4 = m∠2 = 34°m∠3 = m∠1 = 146°