Solve the inequality
2b + 5< 30
Answer:
b < 12.5
Step-by-step explanation:
2b + 5 < 30
1. Subtract 5 from both sides:
2b < 25
2. Divide both sides by 2:
b < 12.5
Final answer: b < 12.5
The value of b is any value that is less (smaller) than 12.5.
Hope this helps!
What is the surface area of the right cone below?
12
A. 123 sq. units
B. 141 sq. units
C. 64 sq. units
D. 143 sq. units
3-
The surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units
Calculating surface area of a coneFrom the question, we are to determine the surface area of the given right cone
The total surface area of a cone can be calculated by using the formula,
TSA = πrl + πr²
Where TSA is the total surface area
r is the radius
and l is the slant height
From the given information,
r = 3
l = 12
Putting the parameters into the formula, we get
TSA = (π×3×12) + (π ×3²)
TSA = 36π + 9π
TSA = 45π sq. units
TSA = 141.37 sq. units
TSA ≅ 141 sq. units
Hence, the surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units
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Mike wants to be elected president of the 7th-grade student council. he wants to determine his chance of winning the election. which would be the best way for mike to determine if he will win the election?
Answer:
B. survey a random sample of 7th-grade students
Step-by-step explanation:
this answer would make the most sense because it is a example of a random statistical question.
A class has 45 students. Each student has either 5 dollars or 2 dollars. Which Which situation results in the class having an average of 3 dollars per student
Step-by-step explanation:
an average of $3 per student would mean
sum(all students $) / 45 = 3
sum(all students $) = 3×45 = 135
x students have $5.
therefore (45-x) students have $2.
5x + 2(45-x) = 135
5x + 90 - 2x = 135
3x = 45
x = 15
so, 15 students have $5, and 45-15 = 30 students have $2.
What is the measure is OMN (explain please)
Answer:
90°
radius is perpendicular to tangent.
Step-by-step explanation:
somebody please help me
Answer:
1/3
1/2
Step-by-step explanation:
Sum being greter than 8, means 9,10,11,12 (12 is max as 6+6)
You can get 9 in these ways, (6+3),(5+4),(4+5),(3+6)
For 10, (6+4),(5+5),(5+5),(4+6)
For 11, (6+5),(5+6)
For 12 (6+6),(6+6)
Each outcome has probability of 1/6 x 1/6 = 1/36
There are 12 outcomes hence 12(1/36) = 12/36 = 1/3
Part b is 1/2 because half of dice has odd numbers.
How is the quotient of 874 and 23 determined using an area model?
Enter your answers in the boxes to complete the equations.
874 ÷ 23 = (
÷ 23 ) + (
÷ 23 )
874 ÷ 23 =
+
874 ÷ 23 =
The quotient of 874 and 23 determined using an area model is 38.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
= 874 ÷ 23
= (800 + 74 + 4) ÷ 23
We can get the answer by using the area model:
If divide 874 with 23 we get 184 as a remainder and 030 as a quotient
Further, if we divide 184 with 23 we get 0 as a remainder and 008
874 ÷ 23 = 030 + 008 = 38
Thus, the quotient of 874 and 23 determined using an area model is 38.
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sin^4 x+2sin^2 x-3=0
Solve by factoring on [0,2pi]
Answer:
Step-by-step explanation:x=π2,3π2
Explanation:
This can be factored as (x2+a)x2+b).⇒(sin2x+3)(sin2x-1)=0⇒
2
x
=
−
3
and
sin
2
x
=
1
⇒
sin
x
=
√
−
3
and
sin
x
=
√
1
⇒
sin
x
=
∅
and
sin
x
=
±
1
⇒
x
=
π
2
,
3
π
2
Hopefully this helps!
Which linear function represents the line given by the point-stope equation y-2= 4(x-3)?
f(x) - 6x-1
f(x)=Bx-6
(((x)-4x-14
(/(x)-4x-10
The linear function that represents the line y - 2 = 4(x - 3), in slope-intercept form, is expressed as: D. f(x)y = 4x - 10.
What is a Linear Function Equation?A linear function equation is expressed as, y = mx + b, in slope-intercept form.
Given the point-slope equation of the function, y - 2 = 4(x - 3), rewrite in slope-intercept form:
y - 2 = 4(x - 3)
y - 2 = 4x - 12
y = 4x - 12 + 2
y = 4x - 10
The linear function would be: D. f(x)y = 4x - 10
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HELP ME WITH THIS STORY PROBLEM SOMEONE
There are 5 posts supporting the guardrail for the steps to your home. The tallest post is 3 feet tall. The height of each of the other posts is 5/6 the height of the next larger post. Write an expression for the height of the shortest post. What is the height of the shortest post?
(also show work)
Answer:
3(5/6)^4
Step-by-step explanation:
The heights are changing by a constant factor. g1 is the first term, r is the common ratio, and n is the term number. Since the tallest pole is 3 ft so itll be g1=3. Heights are decreasing by 5/6 so r=(5/6). Since there are 5 posts shortest post will be n=5. Expression for the shortest pole is g5=3(5/6)^5-1 it simplifies to the answer
ever heard of someone having "a ___ on their shoulder?
Lines m and n are parallel on a coordinate plane. Lines m and n are transformed by the same rotation, resulting in image lines s and t. Which statement describes the relationship between lines s and t? A. Lines s and t are intersecting but not perpendicular. B. The relationship between lines s and t cannot be determined without knowing the angle of the rotation. C. Lines s and t are parallel. D. Lines s and t are perpendicular.
The best statement that describes the relationship between lines s and t : (C). Lines s and t are parallel.
Meaning of Parallel linesA line can be defined as a figure that is one dimensional. It is a trace that is made by the movement of points in opposite direction.
Parallel lines can be defined as a group of lines that are of the same orientation. They face the same direction and are on the same axis.
In conclusion, The best statement that describes the relationship between lines s and t : Lines s and t are parallel.
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how do you do 7.8 plus 917.62
The value of the addition of the numbers 7.8+917.62 will be 925.42.
What is addition?The method of increasing the number is called the addition. or the sum of the two numbers is termed as the addition.
The addition of the numbers will be done as:-
917.62
+7.80
925.42
First, arrange the number one to another then add from the unit places you will get your answer.
So the addition of the numbers will be 925.42
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Identify the amount (a) and the growth factor (b) in each exponential function. Break B into (1+r) where the rate of growth. Give r as a percentage.
y=1.07 (1.96)x
a
b=
r(as a percentage)
Answer:
a = 1.07
b = 1.96
r = 96%
Step-by-step explanation:
In an exponential function, modeled by f(x) = a(b)ˣ, a is the initial value and b is the growth factor. If we apply this formula to the given function y = 1.07(1.96)ˣ, we can see that the initial value, a, is 1.07, and the growth factor, b, is 1.96.
Now, to break down b, 1.96, into a rate, you simply set it equal to the problem’s given (1 + r) equation to find the rate.
1.96 = 1 + r
So r = .96
Now, we just have to convert .96 into a percentage to get a growth rate of 96%.
The level of college education and wages earned are known to have a strong positive association. karen concluded that a college education causes higher earnings. is karen's conclusion valid? explain. karen's conclusion is not valid because association does not imply causation. karen's conclusion is valid because association does imply causation. karen's conclusion is not valid because causation does not imply association. karen's conclusion is valid because causation does imply association.
karen's conclusion is valid because the association does imply causation.
What is an association claim?An association claim asserts that a particular level of one variable is expected to be related to a specific level of another variable. As two variables are related, they are said to be correlated, which means that when one variable varies, the other variable tends to change as well.
An association claim must include at least two variables that are measured rather than manipulated.
While an association claim just acknowledges a connection between two variables, a causal claim goes a step further by claiming that one of the factors is responsible for altering the other.
Therefore, we can conclude that the claim which states that:
College education causes higher earnings is valid because the association does imply causation.Learn more about association claim here:
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Answer:
Association does not equal Causation, since Karen's theory does not have any evidence to prove causation, her theory is invalid.
Step-by-step explanation:
which graph corresponds with the equation [tex]f(x)=\frac{1}{2 } (x+1)^{2} +2[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.
And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.
From the above information, we can easily conclude that the Correct representation is done in graph 4
The box plots below represent the scores for games played by two high school basketball teams over the last 5 seasons.
Based on these plots, which statement regarding the means of the two data sets is is most likely true?
A The mean score per game is higher for South County High School because the distribution of South County High School's scores is not as skewed as the distribution of Central High School's scores.
B The mean score per game is about the same for both schools because their median scores are about the same.
C The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
D No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.
The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
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Is c = 11 a solution to this equation? 3 c = 17
Answer:
a=17/33
Step-by-step explanation:
c=11a ----(1)
3c=17 ---- (2)
Substitute equation (1) into equation (2)
3(11a)=17
33a=17
Divide both side by 33
a=17/33
Problema 2 (Reto) Considera que Nueva York y Londres están ubicadas a la misma latitud. Utilizando la información del radio de la tierra y lo aprendido hasta ahora, calcula distancia aproximada que separa las dos ciudades, especificando cada uno de los razonamientos seguidos en tu estrategia de solución.
Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.
Cómo se estima la distancia entre dos ciudades
En esta pregunta asumimos que la Tierra tiene una geometría esférica, de modo que los cálculos de arcos circulares se pueden obtener de manera simple y ágil. Por otra parte, también asumimos que las que la ciudad de Londres se encuentra a la misma latitud que la ciudad de Nueva York.
Es posible determinar la distancia estimada mediante la siguiente ecuación de arco circular:
s = [(θ' - θ) · π/180] · R · cos α (1)
Where:
θ' - Longitud de la ciudad de Londres, grados.θ - Longitud de la ciudad de Nueva York, en grados.α - Latitud de la ciudad de Nueva York, en grados.R - Radio ecuatorial de la Tierra, en kilómetros.Si sabemos que θ' = 7°, θ = - 73°, α = 40° y R = 6371 km, entonces la distancia estimada entre la ciudades de Nueva York y Londres es:
s = [(7+73)/180] · π · (6371 · cos 40°)
s ≈ 6814.420 km
Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.
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PLEASE HELP ME LOL. (2.4 x 10^5) + (6 x 10^²) =?
Answer:
240,600
Step-by-step explanation:
10⁵=100,000
2.4×100,000=240,000
10²=100
6×100=600
240,000+600=240,600
A person has an unknown element with a volume of 16 cubic inches and a weight of 4.13 pounds.
Density
Titanium 0.161
Zinc 0.258
Iron 0.284
Silver 0.379
Using the table, what is the element?
A.Zinc
B.Silver
C.Iron
D.Titanium
The density become by the elemental composition of the person has will be 0.258 and hence, option (A) will be correct.
What is the density?In science, density is defined as the ratio of an object's mass to volume. Technical and statistical density assessments are done using a technique. The theory is applicable to the laws of nature in sciences like physics, where the emphasis is on things and matter.
Because density affects so many aspects of life, comprehending it is crucial. Which cells will float high in the atmosphere and which will sink lower depends on density, according to physics.
Given that the element has
Volume = 16 cubic inch
weight = 4.13 pound
Since density = weight / volume
density = 4.13/16
density = 0.258 which is matching through option (A) hence it will be correct.
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what is the absolute vale of |-18|
Answer:
18
Step-by-step explanation:
the absolute value is 18
whats 6 divided by 161?
Answer:
0.03
Step-by-step explanation:
You can do this on a calculator.
6 ÷ 161 = 0.0372670807
Hope this helped
Anyone know how to solve this???
Answer:
m=15/14
Step-by-step explanation:
y2-y1
x2-x1
(3, 0) (-11, -15)
x1 y1 x2 y2
-15-0
-11-3 = -15/-14 m=-15/-14 = 15/14
The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 15 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. . Store Shelf Space Weekly Sales 1 5 1.3 2 5 1.6 3 5 1.4 4 10 1.7 5 10 1.9 6 10 2.3 7 15 2.2 8 15 2 9 15 1.8 10 20 2.2 11 20 2.4 12 20 2.9 13 25 2.9 14 25 2.7 15 25 2.5 Using the regression line for this problem, the approximate Weekly Sales for shelf space that is :_________,i. 30. ii. 3.12 iii. 3.1 iv. 3.04 v. 2.99
The Weekly Sales for 30 shelf spaces is 3.04
How to determine the Weekly Sales for 30 shelf spaces?The proper table is added as an attachment.
Next, we determine the regression equation using a graphing calculator.
From the graphing calculator, we have the following calculation summary:
Sum of X = 225Sum of Y = 31.8Mean X = 15Mean Y = 2.12Sum of squares (SSX) = 750Sum of products (SP) = 46The regression equation is represented as:
y = bx + a
Where
b = SP/SSX = 46/750 = 0.06133
a = MY - bMX = 2.12 - (0.06*15) = 1.2
So, we have:
ŷ = 0.06133x + 1.2
When x =30, we have:
ŷ = 0.06133 * 30 + 1.2
Evaluate
ŷ = 3.04
Hence, the Weekly Sales for 30 shelf spaces is 3.04
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What is ur fav.
1) Chocolate 2) Vanilla 3) Strawberry 4) Mint Chocolate Chip 5) Cotton Candy 6) Coffee
Pick a number and put your name in the comments below with the number u picked
Answer:
cotton candy 6 I'm sure that's is answer thank youThe points (−8,−2) and (7,4) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answer
8.08
Use the distance formula:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf d =\sqrt{(7-(-8))^2 + (4-(-2))^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{(15)^2 + (6)^2}[/tex]
[tex]\rightarrow \sf d =3\sqrt{29}[/tex]
This is the length of diameter.
Then radius:
· diameter/2
[tex]\sf \cdot \dfrac{3\sqrt{29} }{2}[/tex]
[tex]\sf \cdot 8.0777[/tex]
[tex]\sf \cdot 8.08 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
I believe that is the diameter.
Answer:
C. Diameter
Step-by-step explanation:
Circumference: The distance around the edge outside of the circle.
Diameter: The distance across the circle that goes through the center.
Radius: The distance halfway across the circle, which is half the diameter.
Center: The point or dot in the middle of a circle.
Rational function h is continuous, with a horizontal asymptote at y = 1. which function could be function h?
The function that could be the function h is option A.
What is a Rational Function?This refers to the type of function that can be defined by a rational fraction and contains polynomials.
Hence, we can see that option A is correct because x²+16 never turns 0, and this makes this function continuous and both the numerator and denominator are both polynomials of the second degree.
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In the following table of values, what would be the value of "b" in ax² + bx + c
-2 7
-1 10
0 15
1 22
2 31
Using a system of equations, it is found that the value of b in the function would be of 6.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, considering that when x = 0, y = 15, we have that c = 15.
Then, when x = -1, y = 10, hence:
a - b + 15 = 10.
a - b = -5.
a = b - 5.
When x = 1, y = 22, hence:
a + b + 15 = 22.
a + b = 7.
Since a = b - 5:
b - 5 + b = 7.
2b = 12.
b = 6.
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Answer:
B) 6
Step-by-step explanation:
I took the exam for alg 2