The opposite of |3| = - |3|
What is Modulus Function?
Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.
It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:
If x is positive, then f(x) = x If x = 0, then f(x) = 0 If x < 0, then f(x) = -xGiven data ,
Let the number be x
x = |3|
Now , the opposite of the number x = -x
So ,
The opposite of |x| = -|x|
And ,
The opposite of |3| = - |3|
Hence , The opposite of |3| = - |3|
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Melissa runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
At football practice the coach ends practice with sprint drills. Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back. How much ground in yards is covered if all 11 players complete the drill.
HELP MEEEE :(
1870 yards is covered if all 11 players complete the drill.
Given:
Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back.
one player yards covered = 10*2+25*2+50*2
= 20+50+100
= 70+100
= 170 yards.
11 players yards covered = 11*170
= 1870 yards.
Therefore 1870 yards is covered if all 11 players complete the drill.
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Which of the following does not show extreme values when you graph using the "box plot with Label outliers"?
a.
Governance and Project Management
b.
Income Monitoring
c.
Income Evaluation
d.
Procurement and Supply Management
I need some help on this question
[tex]r=7\cos \theta \implies r^2=49\cos^2 \theta=7r \cos \theta \\ \\ \therefore x^2+y^2=7x \\ \\ x^2-7x+y^2=0 \\ \\ x^2-7x+\frac{49}{4}+y^2=\frac{49}{4} \\ \\ \left(x-\frac{7}{2} \right)^2+y^2=\frac{49}{4}[/tex]
So, the graph is a circle centered at [tex](7/2, 0)[/tex] with a radius of 7/2. Thus, the graph is C.
The area is thus [tex](7/2)^2 \pi=\frac{49\pi}{4}[/tex]
Solve the problem by writing and solving a suitable system of equations.
A small business takes out loans from three different banks to buy some new equipment. The total amount of
the three loans is $19,000. The first bank offered an interest rate of 16%. The second bank offered a rate of 18%
and the amount borrowed from this bank was $5000 less than twice as much as the amount borrowed from the
first bank. The third bank offered a rate of 15%. The total annual interest was $3050. How much did they borrow
from each bank?
Equations—
Money borrowed from x, y, z banks on loan are $5000, $5000, $9000 respectively.
What is loan?
A loan is the lending of money by one or more people, businesses, or other entities to other people, businesses, or other entities. The recipient incurs a debt and is often responsible for both the principal amount borrowed as well as interest payments until the debt is repaid.
Main Body:
The equations formed from the information given in question are:
x+y+z = 19000
16x+18y+15z = 305000 and,
2x-y = 5000
by solving these equation we get
x= $5000
y= $5000
z= $9000
Hence the answer to this question are $5000 for x, y bank and $9000 from z bank.
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Help! I’m confused and need help finding the answer!
Answer:
y=11x
Step-by-step explanation:
we use formula y2-y1/x2-x1 with 2 of the order pairs
22-11/2-1
11/1
11 is the slope
We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time
When x is zero y is zero so we write it like this
Y=11x
Hopes this helps please mark brainliest
Fran owns a make-up store. During her first
month, the ratio of eyeshadow sold to lipstick
sold was 5:1. If there were 512 lipsticks sold, how
many eyeshadows did Fran sell?
C
C
Answer: 2560 eyeshadows
Step-by-step explanation:
512x5
Answer: 2560
Step-by-step explanation: First we can set up a proportion: [tex]\frac{5}{1} =\frac{x}{512}[/tex]
Then we can multiply 5 and 512, which gets us 2560. That's the answer, but for a different proportion, you would divide the last number, but in this case, since the last number's one, nothing changes.
hope this helps!
please give brainliest!
Question 16 of 50
The point (1, -4) is a solution of the system:
x + 2y = -7
-4y = -x
True
False
Answer:
False
Step-by-step explanation:
1 + 2 (-4) = -7
1 - 8 = -7
-7 = -7
-4 (-4) = -1
16 = -1
what is the perimeter of a quadrilateral with vertices at (5,2), (10,2), (5,5), and (10,5) enter the answer in the box?
The perimeter of the quadrilateral with the given coordinates is 16 square meters.
How to find the perimeter of a quadrilateral?By definition, quadrilateral is a polygon that is bounded by four sides, four angles, and four vertices.
The perimeter of a quadrilateral is the distance round the quadrilateral that is A+B+C+D
Length 1 goes from (5, 2) to (10, 2)
since the y coordinate is the same
L1 = (10 - 5) = 5
Length 2 goes from (5, 5) to (10, 5)
since the y coordinate is the same
L2 = (10 - 5) = 5
Width 1 goes from (5, 2) to (5, 5)
Based on the x coordinate is the same
W1 = (5 - 2) = 3
Width 2 goes from (10, 2) to (10, 5)
Based on the x coordinate is the same: hence,
W2 = (5 - 2) = 3
The Perimeter will be:
p = 5 + 5 + 3 + 3
p = 16
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Find the equation of the tangent line to the graph of the function f(x)=(x+3)/(x−8) at the point (0,−38) .
The linear function tangent to the graph of f(x) = (x + 3)/(x - 8) at the point (0, -38) is:
y = -11x/64 - 38.
What is a linear function?The slope-intercept representation of a linear function is given by the rule shown as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the numeric value of the function when the input x is of zero.The line is tangent to the curve at point (0,-38), meaning that the line passes through point (0,-38), hence the intercept is given as follows:
b = -38.
Since the line is tangent to f(x), the slope of the line is the derivative of f(x) at x = 0.
The function f(x) is defined as follows:
f(x) = (x + 3)/(x - 8)
Applying the quotient rule, the derivative is given as follows:
f'(x) = [x - 8 - x - 3]/(x - 8)²
f'(x) = -11/(x - 8)²
At x = 0, the numeric value of the derivative is found replacing the lone instance of x by zero, hence:
f'(0) = -11/(0 - 8)² = -11/64.
Thus the equation of the tangent line to f(x) at point (0, -38) is given as follows:
y = -11x/64 - 38.
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Find two consecutive odd integers such that the sum of their squares is 34.
The consecutive odd integers such that the sum of their squares is 34 are 3 and 5.
The square of the 3 is 9.
The square of the 5 is 25.
and both are the consecutive in the number line and their sum is 34 which satisfy the given statement.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!
Which function describes this graph?
Answer:
y = 5/6x
Step-by-step explanation:
Solve for the slope of the function by using two points from the graph.
(12,10) and (6,5)
Use the slope formula
(10-5)/(12-6) = 5/6
The y-intercept is 0 because the line crosses at (0,0) at the y-axis.
y = 5/6x + 0
Rearrange the equation
a= 1/2 (b- c)
to make b the subject.
Given (x – 7)2 = 36, select the values of x.
Answer:
Given (x - 7)2 = 36, the values of x are 13, 1.
Please help will mark Brainly
The ordered pair that are solution of the equation 3x-y= 1 is (−2, −7) , (−1, −4)
and (3, 8)
What is ordered pair ?
An ordered pair is a set of two things in mathematics. The pair's objects must appear in a specific order for them to be considered distinct from one another, unless a = b. Ordered pairs are also referred to as 2-tuples, or sequences with a length of 2.
Checking the equation by putting the values of x and y in the given options
1. (-2,-7)
LHS
=3*(-2) - (-7)
= -6+7
=1
LHS = RHS
2. (-1,-4)
LHS
=3*(-1) - (-4)
= -3+4
=1
LHS = RHS
3. (0,1)
LHS
=3*(0) - (1)
= -1
=-1
LHS [tex]\neq[/tex] RHS
4. (3,8)
LHS
=3*(3) - (8)
= 9-8
=1
LHS = RHS
5. (4,2)
LHS
=3*(4) - (2)
= 12-2
=10
LHS [tex]\neq[/tex] RHS
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18. Corky writes four equations to show each of the properties of equality. Which of Corky's equations is incorrect? Explain.
The last division operation of Corky is incorrect.
What is properties of equality?
The attributes of the equality connection, reflexivity, symmetry, transitivity, and the attributes of operations are employed to solve equations. These characteristics hold true in mathematical and algebraic expressions just as they do in propositional language.
Consider, each operation of Corky.
Addition:
3 + 4 = a, then
(3 + 4) + 2 = a + 2
This is the correct equality.
Subtraction:
3 + 4 = a, then
(3 + 4) - 2 = a - 2
This is the correct equality.
Multiplication:
3 + 4 = a, then
4(3 + 4) = 4a
This is the correct equality.
Division:
3 + 4 = a, then
(3 + 4)/2 = a/2
But in the properties 2/a is given.
Therefore, the division property of equality is incorrect.
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Determine the monthly principal and interest payment for a 15 -year mortgage when the amount financed is $85,000 and the annual percentage rate (APR) is %.7.0
Monthly Mortgage Payment is $495.88
Mortgage is a long-term amortized loan where loan is provided to buy certain capital asset and pay back total sum due in small periodic annuities. In Mortgage title of asset lies with lender and passes to borrower after complete mortgage payment.
Hence,
Mortgage Amount is $77,000
Monthly Payment for each $1,000 is $6.44
Monthly Mortgage Payment is $495.88
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I need to solve this equation
The linear equation is y = x+25.
What is linear equation?
An equation for a straight line is called a linear equation. The general representation of the straight-line equation is y=mx+b, where m is the slope of the line and b is the y-intercept. Linear equations are those equations that are of the first order.
Let the linear equation shown in data be written as
y = mx+b
Here, the value of m
53-45 = 8
for y,
68-60 = 8
m = 8/8 = 1
Hence,
60 = 1(45)+c
c = 25
hence, y = x +25
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Answer:
Below
Step-by-step explanation:
Since it is given this is a linear equation, we can find the slope, m, between any two points as (y1-y2)/(x1-x2)
using the first two points (45,60) and (53,68)
m = ( 60 - 68) / (45-53) = 1
so for the slope intercept form of a line ( y = mx + b ) we have
y = (1) x + b plug in any of the points to calculate 'b'
70 = (55) + b shows b = 15
so you line equation becomes y = x + 15
The table shows tickets in an envelope to different concerts.
Rock:6
Pop:8
Country:6
Hip-hop:4
You randomly select two tickets, without replacement. What is the probability that you select two rock
concert tickets?
The probability is
The probability that you select two rock concert tickets is 0.25.
What is the probability?
Probability is the branch of mathematics concerned with numerical descriptions of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, where 0 represents the event's impossibility and 1 represents certainty.
We have,
[tex]Probability =\frac{number \ of favorable outcomes}{total number \ of outcomes}[/tex]
Number of favorable outcomes = 6
Total number of outcomes = 24
Probability rock concert tickets = 6/24
= 1/4
Probability rock concert tickets = 0.25
Hence, the probability that you select two rock concert tickets is 0.25
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6y=3x+30 state the slope and y intercept
Step-by-step explanation:
3x = 6y - 30
6y = (6y - 30)+ 30
6y - 6y = -30 + 30
0 = 0
y = {any rational number}
3.75 ÷ 0.4 =
What is the quotient of Php 8,750.50 and 50?
The quotient for both the parts are 9.375 and 175.01.
What is quotient?
In arithmetic, a quotient may be a amount created by the division of 2 numbers. The quotient has widespread use throughout arithmetic, and is usually brought up because the number a part of a division, or as a fraction or a quantitative relation.
Main body:
A) 3.75/ 0.4
first removing the decimals,
= 375/ 40
= 9.375
B) 8750.50/50
same process of removing decimals,
= 8755050/ 5000
= 175.01
Hence the value of quotient for both the parts are 9.375 and 175.01.
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You make payments of $150 per month into an ordinary annuity
with an interest rate of 1.2% compounded monthly. How much
will be in the account in 5 years? Remember rounding rules for
money.
There will be $9270.71 in the account in 5 years
What is future value ?
Future value refers to an asset's value at a future time. It calculates the nominal amount of money that a certain amount of money is "worth" at a specific point in the future under the assumption of a specific interest rate, or more generally, rate of return; it is the present value multiplied by the accumulation function.
Given
PMT = $150
r = 1.2%
t = 5years
Future value , FV = PMT [tex]\frac{(1+i)^{n}-1 }{i}[/tex]
i = 0.012 /12
n = 5 *12
FV = 150 [tex]\frac{(1 +\frac{0.012}{12})^{5*12} }{\frac{0.012}{12} }[/tex]
= 9270.71
The amount in the account in 5 years is 9270.71
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Candy Snaps come in several colors. The company claims that at least 30% of the
candies are red. After eating bags and bags of these candies, Brenda thinks the
percentage of red candies is less than 30%. So, she takes a sample of 50 candies and
finds that 10 of them are red.
Calculate the test statistic for this problem. (Round to the nearest thousandth.)
A test statistic is a figure obtained from a statistical analysis.It explains how far the observed data is from the null hypothesis, which states that there is no correlation between the variables or difference between the sample groups.
Calculate the test statistic for this problem ?Obtaining p values using test statistic:
Given that ; we have a standardized test statistic and α - values ;
Let's define the decision region :
If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0
A.)
Left tail , Z = - 1.32 ; α = 0.10
We can use the Pvalue calculator from Z score :
Pvalue = 0.934
Pvalue > α ; Hence, we fail to reject the null, H0
B.)
Right-tailed test, z = 2.46, α = 0.01
Pvalue from Zscore calculator ;
Pvalue = 0.0069
Pvalue < α ; Hence, we reject the null, H0
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the sum of the digits of a two-digits number is 12. If 15 is added to the number, the result is 6 times the unit digit. Find the number.
If the sum of the digits of a two-digits number is 12. and when 15 is added to the number, the result is 6 times the unit digit. the number is 48
How to find the numberThis is a word problem which will be used t o form equation
Let the first digit be x and the second digit be y
so that
x + y = 12
xy + 15 = 6y
from x + y = 12, x = 12 - y
substituting x = 12 - y into xy + 15 = 6y
y(12 - y) + 15 = 6y
expanding and arranging the equation gives
y^2 - 6y - 15 = 0
solving the quadratic equation gives
y = 7.899 OR -1.899
take the positive value, y is approximately 8
plug in y = 8 and solve for x
x = 12 - y
x = 12 - 8
x = 4
Therefore the number is 48
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Round 722297 to the nearest thousand?
Answer:
722000
Step-by-step explanation:
the last 3 digits are below 500 so you round them down to 722000.
Answer: The second 2nd is the thousand
first 2 is near to thousand because it is ten thousand
third 2 is also near to thousand because it is hundreds
The table defines the observed data values and the corresponding predicted values, based on a line of fit. Observed Predicted 9 7.77 12 12.87 12 11.17 15 14.57 17 16.27 24 24.77 28 26.47 33 31.57
How many negative residuals does the data set have? How many positive residuals does the data set have?
2 negative residuals and 6 positive residuals 3 negative residuals and 5 positive residuals 5 negative residuals and 3 positive residuals 6 negative residuals and 2 positive residuals
The correct option regarding the residuals are given as follows:
2 negative residuals and 6 positive residuals.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
Then the residuals of this data-set in the table are given as follows:
As for each point, the actual value is given and then the predicted value.
Then the numbers of each positive and negative residuals are given as follows:
Positive residuals: 6.Negative residuals: 2.Hence the first option is the correct option.
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Does this look correct?
Answer:
I think so ;-;
Step-by-step explanation:
Determine the value of each variable.
x=______
y=______
z=______
The value of the variables x, y , z are 28.75° , 135.5°, and 44.5° respectively .
What are corresponding angles?Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.
When two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
Corresponding angles are equal to each other. This means that (6x/5 +10)°=z= (2x-13)°
therefore( 6x/5 +10)° =(2x-13)°
collect like terms
10+13= 6x/5-2x
23= (10x-6x)/5
multiply both sides by 5
115=4x
x= 115/4= 28.75°
z= (2x-13)°
z= 2×28.75-13
z= 57.5-13
z= 44.5
z+y= 180( sum of angles on a straight line)
y= 180-44.5
y= 135.5
therefore the values x, y , z are 28.75° , 135.5°, and 44.5° respectively .
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Prove that line segment AD is congruent to DB
Prove: AD≅DB.
Note: quadrilateral properties are not permitted in this proof.
The line segment AD is congruent with DB because the corresponding parts of congruent triangles are congruent.
What is an Isosceles Triangle?An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.
Draw the DM as the perpendicular bisector of AB(Assumption)
Since DM is perpendicular to AB, m∠AMD = m∠BMD = 90°.
Since DM bisects AB, AM ≅ BM. With AD≅ DB (reflexive property), ∆ADM ≅ ∆BDM by SAS.
Finally, AD≅ DB because corresponding parts of congruent triangles are congruent.
Therefore, ∆ABD must be isosceles since two of the three sides are congruent.
Thus, line segment AD is congruent with DB.
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