The algebraic expression for the statement is 1/4N - 7 ≤ 98
How to determine the algebraic expression for the statement?From the question, we have the following parameters that can be used in our computation:
Mathematical statement: "Seven less than the product of a number N and 1/4, is no more than 98."
The above mathematical statement is an inequality statement
The term "no more than" means less than or equal to 98
So, we have the following representation
Seven less than the product of a number N and 1/4, ≤ 98.
Represent "number" with N
So, we have the following representation
Seven less than the product of N and 1/4, ≤ 98.
Express as products
Seven less than 1/4N ≤ 98
"less than" here means minus
So, we have
1/4N - 7 ≤ 98
Hence, the algebraic expression is 1/4N - 7 ≤ 98
Read more about inequality at
brainly.com/question/25275758
#SPJ1
Select the correct answer. Solve the following inequality. 21 ≤ -3(x − 4) < 30 A. -3 ≤ x < 6 B. -10 < x ≤ -3 C. 28 ≤ x < 37 D. -6 < x ≤ -3
Answer:
D. -6 < x ≤ -3
Step-by-step explanation:
21 ≤ -3(x − 4) < 30
21/3 ≤ -3(x − 4)/3 < 30/3
7 ≤ -(x − 4) < 10
7 ≤ -x - (-4) < 10
7 ≤ -x + 4 < 10
7 - 4 ≤ -x + 4 - 4 < 10 - 4
3 ≤ -x < 6
(3 ≤ -x < 6)/(-1)
-3 >= x > -6 ==> when dividing by a negative number, switch the inequality
sign
-6 < x ≤ -3 ==> D
Which of the following expressions are equivalent to 16/24? Select all that apply.
After evaluation, we can conclude that the expression (E) 8/2 * 2/12 is equivalent to the given expresion 16/24.
What are expressions?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
It's possible to multiply, divide, add, or subtract with this mathematical operation.
You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.
So, we have the expression:
16/24
We need to find the equivalent expression from the options as follows:
So, let's take option (E) as it seems the answer and evaluation is:
8/2 * 2/12 (Be LHS)
Now, multiply:
8/2 * 2/12 = 16/24
16/24 = 16/24
Therefore, after evaluation, we can conclude that the expression (E) 8/2 * 2/12 is equivalent to the given expression 16/24.
Know more about expressions here:
https://brainly.com/question/28934492
#SPJ1
49: 1 of 1 question 2 with 1 blank 97: 1 of 1 question 3 with 1 blank 113: 1 of 1 question 4 with 1 blank 632: 1 of 1 question 5 with 1 blank 1.781: 1 of 1 question 6 with 1 blank 3.558: 1 of 1 question 7 with 1 blank 1.006.015: 1 of 1 question 8 with 1 blank 67.224.370: 1 of 1 3
Spanish is a Romance language of the Indo-European language family that emerged from the Iberian peninsula's colloquial Latin. It is now a worldwide language with around 500 million native speakers, primarily in the Americas and Spain. Twenty nations have Spanish as their official language.
These numbers in Spanish are:
1. 49: cuarenta y nueve
2. 97: noventa y siete
3. 113: ciento trece
4. 632: seiscientos treinta y dos
5. 1.781: mil setecientos ochenta y uno
6. 3.558: tres mil quinientos cincuenta y ocho
7. 1.006.015: un millon seis mil quince
8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta
To know more about Spanish numbers refer to:
brainly.com/question/18035113
#SPJ4
Answer:
49: cuarenta y nueve
2. 97: noventa y siete
3. 113: ciento trece
4. 632: seiscientos treinta y dos
5. 1.781: mil setecientos ochenta y uno
6. 3.558: tres mil quinientos cincuenta y ocho
7. 1.006.015: un millon seis mil quince
8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta
Step-by-step explanation:
This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph
The function rule that could be represented by the graph is given as follows:
y = 2x³ + x - 3.
How to define the function?The first step in defining the function is looking at it's y-intercept, which is the value of y when the graph of the function crosses the y-axis.
This value is of -3, hence the function can be defined as follows:
f(x) = ax^n + x - 3.
Then we look at the behavior of the function. It has an inflection point, as it is concave down and then it becomes concave up, hence:
It's second derivative is of the first degree.It's first derivative is of the second degree.The function is of the third degree, hence n = 3.Thus:
f(x) = ax³ + x - 3.
Then we look at the x-intercept, meaning that when x = 1, y = 0, this the leading coefficient is obtained as follows:
0 = a + 1 - 3
a = 2.
Thus the function is defined as follows:
y = 2x³ + x - 3.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Please help meeee!!!!
The value of the function of f(x) + g(x) is 2x + 1.
What is operation of functions?
Regarding the four fundamental algebraic operations, functions perform exactly as expected (addition, subtraction, multiplication, and division). However, when functions are combined using these operations, the domain of the new combined function only consists of the components that the domains of the original functions had in common. The formulas for combining functions are listed below.
Two functions, f and g, added together: (f + g)(x) = f (x) + g (x).Two functions, f and g, differ in the following way: (f - g)(x) = f (x) - g (x).(f.g)(x) = f(x) .g(x) is the product of the two functions f and gf(x) = 4x + 1 and g(x) = -2x
f(x) + g(x) = 4x + 1 - 2x
= 2x + 1
Hence, the value of the function f(x) + g(x) is 2x + 1.
To know more about functions check the below link:
https://brainly.com/question/25638609
#SPJ1
y = -2x + 1
4x + y = 9
Solve the system of equations without graphing. Show all the math steps needed to find the solution to this system.
Answer:
x =4 & y = -7
Step-by-step explanation:
this is the right answer
Solver for y: 2x + 3y = 6 - y
Answer:
y = [tex]\frac{6-2x}{4}[/tex]
Step-by-step explanation:
2x + 3y = 6 - y ( add y to both sides )
2x + 4y = 6 ( subtract 2x from both sides )
4y = 6 - 2x ( isolate y by diving both sides by 4 )
y = [tex]\frac{6-2x}{4}[/tex]
Solve the system of equations using the substitution method. y = -5x -2x - y = 0 (x, y) = ( ¯\____|
Answer:
x= -2y/7
Step-by-step explanation:
y=-5x-2x-yif you switch sides you get
-5x-2x-y=y
add similar elements -5x-2x-y=-7x
-7x-y=y
move y to the right side
-7x=2y
decide both sides by -7
-7x/-7 = 2y/-7y
simplify
x = -2y/7
0.55 / 2what is the probability that neither a nor b will happen? (round your answer to 2 decimal places.)
(a) The probability of either A or B occurring is 0.81.
(b) The probability that neither A nor B will happen is 0.19.
In the given question,
P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42
(a) We have to find the probability of either A or B occurring.
P(A)=0.39
P(B)=0.42.
Since, events A and B are mutually exclusive
P(A and B) = 0
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.39 + 0.42 - 0
P(A or B) = 0.81
Probability of either A or B occurring is = 0.81
(b) Now we have to find the probability that neither A nor B will happen.
P(A or B) = 0.81
Probability that neither A nor B will happen = 1 - P(A or B)
Probability that neither A nor B will happen = 1 - 0.81
Probability that neither A nor B will happen = 0.19
To learn more about probability link is here
brainly.com/question/11234923
#SPJ4
The right question is:
The events A and B are mutually exclusive. Suppose P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42.
(a) What is the probability of either A or B occurring? (Round your answer to 2 decimal places.)
(b) What is the probability that neither A nor B will happen? (Round your answer to 2 decimal places.)
The area of a triangle with base b and height h is 1/2bh. Larry painted a mural of different foods on the wall of the school lunchroom. He painted a triangular tortilla chip with a 15-inch base and a 10-inch height.
What is the area of Larry's tortilla chip?
Larry's tortilla chip has a surface area of 75 square inches.
Describe area.Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
A triangle with base b and height h has a surface area of 1/2bh. You need to calculate the area of a triangle with a 15-inch base and a 10-inch height.
For b=15 and h=10,
Evaluate the expression
1/2bh for b=15 and h=10
1/2bh=1/2(15)(10)
=1/2(150)
=75inch
Larry's tortilla chip has a surface area of 75 square inches.
To know more about area click the link:
brainly.com/question/27683633
#SPJ1
1. Given a mean of 165 and a standard deviation of 4, use the empirical rule to answer the following questions: a. What percent is less than 161? b. What percent is more than 173? c. What percent is between 157 and 169? d. What is the 84 th percentile?
Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution:
Percentile Value is equal to z +.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.
While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation.
Standard deviation may be written as SD.
A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.
Though in algebra, it is simpler
According to our question-
a. 157 is less then 161
b. n>173, n be a real number.
Hence, Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution: Percentile Value is equal to z +.
Learn more about standard deviation click here:
https://brainly.com/question/475676
#SPJ1
Determine whether the relation is a function. (0,-3) (1,0) (2,3) (2,2) (3,1)
Answer:
function
Step-by-step explanation:
I did this math before
Answer:
this relation is a function
Trent and his family are heading to Perfect Putt Mini-Golf. They plan to purchase the group package. With the package, the cost per person is $3 less than the normal cost for an individual. There are 6 people in Trent's family. His mom called ahead and found that the total cost for the family will be $30.
Which equation can you use to find the normal cost, x, for an individual?
3x-6=30
6(x-3)=30
6x-3=30
3(x-6)=30
PLEASE EXPLAIN WHY YOU GOT YOUR ANSWER PLEASEE!!!!
When Skip was a puppy, he weighed 5.6 lbs. When he visited the vet, he weighed 13.3 lbs. How much weight did Skip gain between the time he was a puppy and his vet visit?
Answer:
7.7
Step-by-step explanation:
I got this by subtracting 13.3 - 5.6
[tex]\leq[/tex] what is that symbol
The symbol ≤ is less than or equal to
What are inequalities?Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.
The signs used in inequality are of 4 types namely
less thangreater thanless than or equal togreater than or equal toThe strict inequality are those inequality that the equation fails when equality sign is used to represent the relationship of the left and right hand side of an equation.. The inequality sign used here is only less than or greater than
The non strict inequality maintains the balance between both sides of the equation whether the equality is used or not. Instances include "less than or equal to" OR "greater than or equal to"
The given expression is less than or equal to and is a non strict inequality
Learn more about inequality here:
https://brainly.com/question/29362801
#SPJ1
Which number line shows the solutions to n > -2?
++++
+
-6-5-4-3-2-1 0 1 2 3 4 5 6
←++++
H
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
+++
++++++
-6-5-4-3-2-1 0 1 2 3 4 5 6
+++++
-6-5-4-3-2-1 0 1 2
3 14 5 6
Done -
2
Which is a true statement about the given ratios?
9/14, 22/28, 5/7, 12/14
A. 9/14 > 5/7
B. 5/7 > 22/28
C. 12/14 > 22/28
D. 9/14 > 12/14
I would like if you show proof
Please help me
The true statement about the given ratios will be;
⇒ 12/14 > 22/28
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The ratios are,
⇒ 9/14, 22/28, 5/7, 12/14
Now,
Since, The ratios are,
⇒ 9/14, 22/28, 5/7, 12/14
Hence, The correct ratio will be;
⇒ 12/14 = 24/28
Thus, We get;
⇒ 12/14 > 22/28
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ1
Answer: The true statement about the given ratios will be;
⇒ 12/14 > 22/28
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The ratios are,
⇒ 9/14, 22/28, 5/7, 12/14
Now,
Since, The ratios are,
⇒ 9/14, 22/28, 5/7, 12/14
Hence, The correct ratio will be;
⇒ 12/14 = 24/28
Thus, We get;
⇒ 12/14 > 22/28
Learn more about the ratio visit:
brainly.com/question/12024093
#SPJ1
What does the slope mean in the given context?
The slope is 1
In mathematics, the slope or gradient of a line is a number that indicates both the direction and the steepness of the line.
What is slope?In mathematics, the slope or gradient of a line describes both the direction and the steepness of the line. A line's slope denotes its steepness. Slope is determined theoretically as "rise over run" (change in y divided by change in x). Slope is the numerical value of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of its vertical to horizontal distance between any two points on it ("slope equals rise over run").
Here,
slope=(13-8)/(10-5)
slope=1
In mathematics, the slope or gradient of a line is a quantity that specifies both the direction and the steepness of the line.
To know more about slope,
https://brainly.com/question/29184253
#SPJ1
The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
-8x - 5(-5x - 1) - 7 = 3(x − 3)
Answer:
-8x+25x+5-7=3x-9
or ,17x -2=-9+2
or, -14x=-7
or, x=-7/-14
x=1/2
Answer:
-8x +25x +5-7=3x-9
17x-2 = 3x-9
17x-3x=9+2
14x =11
x= 14/11
can you please help me ASAP
Answer:
D. 7
Step-by-step explanation:
[tex] \frac{ \sqrt{196} }{\sqrt{4} } \\ [/tex]
[tex] \frac{14}{2} [/tex]
=7
Name the property of real numbers illustrated by the equation. -2(x 4)=-2x-8
Distributive property of real numbers illustrated by the equation. -2(x 4)=-2x-8
The equation -2(x 4)=-2x-8 is an example of the distributive property of real numbers. This property states that when a number is multiplied by a group of numbers that are being added together, the number can be distributed to each of the terms in the group. To rewrite this equation as -2x + (-2)(-4) = -2x - 8, the number -2 is allocated to each of the terms in the group (x and -4) in this equation.Simplifying further, we get -2x - 8 = -2x - 8.
-2(x 4) = -2x - 8
Distribute -2 to each term in the group
-2x + (-2)(-4) = -2x - 8
Simplify
-2x - 8 = -2x – 8
Learn more about real number here
https://brainly.com/question/10547079
#SPJ4
Imagine that you could increase the gravitational
force on Earth to 200% its current force. What would life be like?
Compose a written response below in complete sentences.
Your joints and bones would first have to work harder to support your heavier weight.
What would happen if there was a 200% increase in gravity?If you were subjected to double gravity for an extended length of time, it may be deadly since it would put your body under a lot of strain. Your joints and bones would first have to work harder to support your heavier weight. Even minor motions would be difficult for your muscles.Our blood will be drawn down into our legs if the gravity is too powerful, and we risk having our bones break or perhaps being helplessly stuck to the earth. It is preferable to determine the gravitational limit of the human body before we set foot on a sizable new planet.To learn more about gravitational limit refer to:
https://brainly.com/question/24783651
#SPJ1
Solve for y. Find m∠ C and m∠ D. Show all work.
The value of y is 10. The measure m∠ C and m∠ D are 40° and 76° respectively.
What is external angle?
The angle created when a transversal cuts one of two lines and is located outside of the line. It describes the angle between a side of a polygon and an expanded adjacent side.
The measure of an external angle of a triangle is equal to the sum of opposite interior angles.
∠DEF is an exterior angle. The opposite interior angles of ∠DEF are m∠ C and m∠ D
Therefore,
m∠ C + m∠ D = ∠DEF
4y° + (7y + 6)° = 116°
Add like terms
11y + 6 = 116
Subtract 6 from both sides:
11y = 110
Divide both sides by 11:
y = 10
Putting y = 10 in m∠ C = 4y° and m∠ D = (7y + 6)°
m∠ C = 40°
m∠ D = 76°
To learn more about interior angle, click on below link:
https://brainly.com/question/20333276
#SPJ1
Find the sum of 5.21 × 1019 and 3.149 × 1017.
A. 8.359 × 1019
b. 5.24149 × 1019
c. 5.24149 × 1036
d. 8.359 × 1036
Answer:
B
Step-by-step explanation:
5.21 x 10^19 + 3.149 x 10^17
10^17(5.21 x 10^2 + 3.149)
10^17(521 + 3.149)
10^17(524.149)
5.24149 x 10^17 x 10^2
5.24149 x 10^(17+2)
5.24149 x 10^19
Answer: b. 5.24149 × 1019
Step-by-step explanation: I took the test
g the diameters of bolts produced by a certain machine are normally distributed with a population mean of 20.00 milimeters (mm) and a population standard deviation of 0.2 mm. what is the probability that a randomly selected bolt will have a diameter greater than 20.329 mm? use 4 decimal places in answering.
The probability that a randomly selected bolt will have a diameter greater than 19.705 mm is 0.9812.
Given that:
mean = 19.0
standard deviation = 0.3
P(18.295 < x < 19.705)
The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
= P[(18.295 - 19.0)/0.3) < (x-mean)/standard deviation < (19.705-19.0)/0.3)]
= P(-2.35 < z < 2.35)
= P(z<2.35)-P(z<-2.35)
= 0.9906 - 0.0094
= 0.9812
Probability = 0.9812
Hence we get the required probability.
Learn more about Probability here:
brainly.com/question/25870256
#SPJ4
what is the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer?
The answer is that the the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer is 2 coscec 4x.
Cosecant is one of the trigonometric ratios . It is calculated as the ratio of the hypotenuse to the perpendicular of a right triangle. It is also calculated as the reciprocal of the sine function.
Now, here if the vertical asymptotes is x = pi/4 + pi/4 (n).
This is not defined when n=0.
so, when x= pi/4,
sin 4x = sin x = 0
which means w =0 .
and we get the equation for cosecant function to be f(x)= 2 cosec 4x since cosec x = 1/ sin x.
To learn more about trigonometry, visit link -https://brainly.com/question/29002217
#SPJ4
Pleasure help mee !!???
Answer:
28. Just divide 1876 by 67.
Step-by-step explanation:
Answer:
28 I believe
Step-by-step explanation:
Please help!!! I need this!!
A triangle has vertices (0,0), (2,4), and (5,1). What are the coordinates of the circumcenter?, or the same triangle with vertices (0,0), (2,4), and (5,1), what are the coordinates of the orthocenter?
and could I have steps please?
Answer:
The circumcenter of the triangle with vertices (0,0), (2,4), and (5,1) is located at (3,2).
To find the circumcenter, use the formula:
Cx = (x1 + x2 + x3)/3
Cy = (y1 + y2 + y3)/3
In this case, Cx = (0 + 2 + 5)/3 = 3
Cy = (0 + 4 + 1)/3 = 2
Therefore, the circumcenter of the triangle is located at (3,2).
The orthocenter of the triangle with vertices (0,0), (2,4), and (5,1) is located at (2.5, 2.5).
To find the orthocenter, use the following equation:
Hx = (x1 + x2 + x3)/3
Hy = (y1 + y2 + y3)/3
In this case, Hx = (0 + 2 + 5)/3 = 2.5
Hy = (0 + 4 + 1)/3 = 2.5
Therefore, the orthocenter of the triangle is located at (2.5, 2.5).
Step-by-step explanation:
what is the product of each equation?
[tex]\left(3a^{2}b^{4}\right)\left(-8ab^{3}\right)[/tex]
[tex]\left(3a^{2}b^{7}\right)\left(5a^{3}b^{8}\right)[/tex]
[tex]\left(-2d^{2}+s\right)\left(5d^{2}-6s\right)[/tex]
[tex]\left(3x-6\right)\left(2x^{2}-7x+1\right)[/tex])
[tex]\left(7x^{2}y^{3}\right)\left(3x^{5}y^{8}\right)[/tex]
[tex]\left(y^{2}+3y+7\right)\left(8y^{2}+y+1\right)[/tex]
[tex]\left(4s+2\right)\left(5s^{2}+10s+3\right)[/tex]
The solution to the products of exponents is as follows;
1) -24a³b⁷
2) 15a⁵b¹⁵
3) -10d⁴ + 17sd² - 6s²
4) 6x³ - 33x² + 45x - 6
5) 21x⁷y¹¹
6) 8y⁴ + 25y³ + 60y² + 10y + 7
7) 20s³ + 50s² + 32s + 6
How to find product of exponents?The Product of Powers Property of exponents states that when we multiply two powers with the same base, we add the exponents.
1) (3a²b⁴) * (-8ab³)
= -24a³b⁷
2) (3a²b⁷) * (5a³b⁸)
= 15a⁵b¹⁵
3) (-2d² + s)(5d² - 6s)
Expanding the bracket to get;
(-10d⁴ + 5sd² + 12sd² - 6s²)
= -10d⁴ + 17sd² - 6s²
4) (3x - 6) * (2x² - 7x + 1)
= 6x³ - 33x² + 45x - 6
5) (7x²y³) * (3x⁵y⁸)
= 21x⁷y¹¹
6) (y² + 3y + 7) * (8y² + y + 1)
= 8y⁴ + 25y³ + 60y² + 10y + 7
7) (4s + 2) * (5s² + 10s + 3)
= 20s³ + 50s² + 32s + 6
Read more about product of Exponents at; https://brainly.com/question/847241
#SPJ1
