The correct answer or an inequality is x+6 < 3x + 10.
What is an inequality equation in mathematics?
An inequality in mathematics is said to be a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is said to size-compare two numbers on a number line.
Many straightforward inequalities can be resolved by adding, taking away, multiplying, or dividing both sides until the variable is all that remains.
However, these factors will shift the direction of inequality:
1. By using a negative number to multiply or divide both sides
2. Reversing the left and right sides.
Let the number be x. It is given in the question that the sum of a number and six is less than the sum of three times the number and ten.
According to the question,
x+6 < 3x + 10
Hence, the correct answer is x+6 < 3x + 10.
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fill in the blanks please
Answer:
2) Consecutive interior angles are supplementary.
5) Division Property of Equality
Find the sum 12 1/9 + 10 2/3
Answer:
12 1/9 = 109/9
10 2/3 = 32/3
Step-by-step explanation:
109/9 +32/3
=205/9
What is the equation of the line that passes through the point (4,-7) and has a slope of -3
Answer: y=-3x+5
Step-by-step explanation:
1) List in a y = mx + b
y = -3x+b
2) Next fill in x and y with the points given
-7 = -3(4) + b
3) Solve
-7 = -3(4) + b
-7 = -12 + b
5 = b
4) Apply b to the y =mx + b
y=-3x+5
Answer: y= -3x +5
Step-by-step explanation:
Slope: y= mx+ b
m being the slope
b being the y intercept
You're given the slope, so you substitute m for -3
y=mx+b
y = -3x + b
You have the coordinates (4, -7) which you can substitute (the line passes through that point.)
-7 = -3(4) + b
-7 = -12 + b
+12 +12
5= b
y= -3x + b
Check:
-7 = -3(4) + 5
-7 = -12 + 5
-7 = -7
Evaluate the expression for x=3 and y=5:(3y - 6)/x
Let's evaluate the expression by applying the Substitution Method.
Let's substitute x = 3 and y = 6 to the expression:
[tex]\text{ }\frac{3y\text{ - 6}}{x}[/tex]We get,
[tex]\text{ }\frac{3y\text{ - 6}}{x}\text{ = }\frac{3(5)\text{ - 6}}{3}[/tex][tex]\text{ = }\frac{15\text{ - 6}}{3}\text{ = }\frac{9}{3}[/tex][tex]\text{ = }3[/tex]Therefore, the expression (3y - 6)/x at x = 3 and y = 5 will give you a value of 3.
I need to find the volume and surface area of this 3d composite figure
Volume:
To find the volume we notice that this figure is made of a cube minus a cone.
The volume of a cube is given as:
[tex]V=l^3[/tex]Here the length of each side is 6 cm.
The volume of a cone is given as:
[tex]V=\frac{1}{3}h\pi r^2[/tex]here the radius of the cone is 2 cm (half the diameter shown) and its height is 6 cm.
Hence the volume of the composite figure is:
[tex]V=(6)^3-\frac{1}{3}(6)\pi(2)^2=190.87[/tex]Surface area:
The surface area of the figure is the surface area of the cube minus the surface area of the cone.
The surface area of the cube is given by:
[tex]SA=6l^2[/tex]in this case the lenght of each side is 6 cm.
The surface area of the cone is given by:
[tex]SA=\pi r^2+\pi rl[/tex]where r is the radius of the cone and l is the slant height. The radius of the cone is 2 cm. To find the slant height we need to remember that this slant height is the hypotenuse of a right triangle with one leg equal to the radius and the other leg equal to the height of the cone. Then, using the pythagorean theorem we have:
[tex]\begin{gathered} l^2=2^2+6^2 \\ l^2=4+36 \\ l=\sqrt[]{40} \end{gathered}[/tex]Once we have all the values we need we have that the surface area is:
[tex]SA=6(6)^2-\pi(2)^2-\pi(2)(\sqrt[]{40)}=163.70[/tex]Summing up we have that:
• The volume is 190.87 cubic cm.
,• The surface area is 163.70 squared cm.
!! CR Algebra 1 B (GP) 21-22 / 8:Radical Expressions and Equations 104 8 6 4 N -10-8 -6 -4 2 0 2 4 6 8 10 -2 6 -8 -10 Match the graph with its function by translating the graph of y = x 4. O O y=&x-2 y = (2 O Oy=√x+2 y x+2 O y=√x+2 O y=√x-2 o Search the web and Windows e it
The graph of the parent function starts at the origin.
We need to find the translation done on the original function to get the graph in the image.
On the graph, the the line starts at x = 2. This means there was a translation of 2 units to the right sides
[tex]\begin{gathered} \text{for translation:} \\ f(x\text{ + a) : translation of a units to the left} \\ f(x\text{ - a): translation of a units to the right} \end{gathered}[/tex]Since we are translating to the right, the new function becomes:
[tex]f(x\text{ - 2) = }\sqrt[]{x\text{ - 2}}\text{ (option A)}[/tex]10. A mouse runs a distance of 2metres in 15 seconds. What is its speed?
We will use the formula;
speed = distance / time
from the question, d= 2 t=15
substitute the value into the formula:
speed = 2/15 = 0.13333 m/s
use the volume of the given sphere to find x
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[please help!!!]
The manager of a pizza restaurant recorded the total number of pizzas delivered after x weeks in this table. Which statement is true?
A. There was an increase of 83.5 pizzas each week from week 4 to week 6.
B. There was an increase of 34.5 pizzas each week from week 4 to week 6.
C. There was an increase of 50 pizzas each week from week 4 to week 6.
D. There was an increase of 28 pizzas each week from week 4 to week 6.
Answer:
the answer is a
Step-by-step explanation:
to see which answer is true, we must find the average of the difference between weeks 4-6
356 - 278 = 78
445 - 356 = 89
Now, find the average
89 + 78 = 167
167/2 = 83.5
therefore, answer A is true
The price of regular rice is $1 per pound; that of premium rice is $2. Mix 300 pounds
of regular rice with 400 pounds of premium rice. What is the price of the mixture?
Answer:
1200 dollars
Step-by-step explanation:
2x400 is 800 + 1x400 =1200
Solve the equation:
√x+8=2
(square root of x+8)
The solution of the given equation is x = -4.
An algebraic expression is an expression which should include at least one variable connected by at least a single arithmetic operator. These operators can be addition(+), subtraction(-), multiplication(*) or division(/).
an algebraic equation or polynomial equation is an equation of the form
where p = 0
where P is a polynomial with coefficients in some field, often the field of the rational numbers. For many authors, the term algebraic equation refers only to univariate equations, that is polynomial equations that involve only one variable. On the other hand, a polynomial equation may involve several variables. In the case of several variables (the multivariate case), the term polynomial equation is usually preferred to algebraic equation.
We have given that √x+8= 2
To remove the root on the left side of the equation square both sides of equation.
so we get x+8= 4
by solving the equation we will get x= -4.
Thus the solution of the given equation is x= -4.
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The function g(3) has a value of 0
How to determine the value of the function?The graphs represent the given parameters
The function definition is given as
g(3)
On the two graphs, we have the following highlights
First graph: The function of ySecond graph: The function of g(x)This means that we use the second graph to calculate the value of the function g(3)
The function g(3) means the value of x is 3
On the graph, we have
g(x) = 0 when x = 3
So, we have
g(3) = 0
Hence, the value of the function is 0
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state if the givin binomial is a factor of the givin polynomial
19)
Given data:
The given polynomial is
[tex]x^3-5x^2-8x+8^{}[/tex]Substitute -2 for x in the above polynomial.
[tex]\begin{gathered} (-2)^3-5(-2)^2-8(-2)+8 \\ =-8-20+16+8 \\ =-4 \end{gathered}[/tex]As after substituting x=-2 in the polymial is not equal to zero.
Thus, (x+2) is not the factor of the polynomial
During a football match, 18 boys are grouped into 2 teams
How many boys are there in each team?
.
91,375 ÷ 10 power of 5
9.1375
913.75
91.375
0.91375
Answer:
I'm not sure the right equation to used for this problem. can someone help me please.
Robbie wants to plot the .four, five on a coordinate plane which statement describes how to plot this point starting from the origin
We were told in the question that Robbie wants to plot the point (4, 5) on a coordinate plane. we are to determine from the option the statement that describes how to plot it.
Plotting on a coordinate plane already gives us the idea of x and y axis which is the vertical and the horizontal.
We were given positive values for both points which implies that:
Since 4 is the x-axis and positive and 5 is y-axis and also positive. We can draw a statement that:
We move 4 units to the right and then 5 units up.
With this, the correct option is C.
Evaluating RadicalsQuestion: Estimate the radical by identifying which two consecutive integers it falls in between.
Step 1
Given;
[tex]Estimate\text{ the radical by identifying which two consecutive integers it falls between}[/tex]Step 2
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are; -1.43, 1 3/4, 3.14,0.09, and 5,643.1.
We know that the perfect squares between √11 are;
[tex]\begin{gathered} \sqrt{9}\text{ and }\sqrt{16} \\ \sqrt{9}=3 \\ \sqrt{16}=4 \\ \sqrt{11}=3.31662479 \end{gathered}[/tex]Hence, the answer will be;
[tex]\begin{gathered} \sqrt{11}\text{ is between the integers 3 and 4} \\ 3<\text{ }\sqrt{11}\text{ }<4 \end{gathered}[/tex]The function f(x) = 2 * (2) ^ x was replaced with f(x) + k resulting in the function graphed below
PLEASE HELP WILL MARK BEAINLY
Example:
f(x) = (x - 1)2, f(x) = 8x , f(x) = x2 - x , f(x) = 7. Summary: From the given functions, f(x) = 7 is the even function.
Which statement best describes the areas and perimeters of the figures?
O They have the same area and same perimeter.
O
They have the same area but different perimeters.
They have different areas but the same perimeter.
O They have different areas and different perimeters.
Statement (D) "they each have unique perimeters and areas" best describes the areas and perimeters of the figures.
What are the area and perimeter?The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.So, according to the given image, we can easily conclude that both the figures have different areas and different perimeters.
Therefore, statement (D) "they each have unique perimeters and areas" best describes the areas and perimeters of the figures.
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The correct question is given below:
Which statement best describes the areas and perimeters of the figures below?
Figures 1 and 2 both have the same perimeter but have different numbers of units inside of the shape.
A. They have the same area and the same perimeter.
B. They have the same area but different perimeters.
C. They have different areas but the same perimeter.
D. They have different areas and different perimeters.
1)There are fourteen shirts in your closet, four blue, five green, and five red. You randomly select one to wear. It is blue or green2)a magazine contains for teen pages.you open to a random page. The page number is eight to ten.find the probability
Given:
Total number of shirts is, N= 14.
Number of blue shirts is, n(b) = 4.
Number of green shirts is, n(g) = 5.
Number of red shirts is, n(r) = 5.
The objective is to find the probability of randomly selecting a blue shirt or green shirt.
The required probability ca be calculated as,
[tex]\begin{gathered} P(\text{blue or gr}een)=P(blue)+P(green) \\ =\frac{n(b)}{N}+\frac{n(g)}{N} \\ =\frac{4}{14}+\frac{5}{14} \\ =\frac{9}{14} \end{gathered}[/tex]Hence, the probability of randomly selecting a blue shirt or green shirt is 9/14.
In his first period, Mr. Mueller had 27 students in his virtual class after 5 students left the class. Whichequation can be used to find b, the number of students in his class before the 5 students left?5+b = 275b = 27b-5 =27b/5 = 27
she had 27 students after 5 students left her class.
Her present number of student = 27
Initial number of student before 5 left the class = 27 + 5 = 32
number of student in his class before the 5 student left can be represented as follows
where
b = number of student before 5 student left his class
b - 5 = 27
What is the rectangular form of the parametric equations?x(t)=t+3, y(t)=2t^2−4, where t is on the interval [−4,0].Enter your answer, in standard form, by filling in the boxes.
1. Solve t in the first equation:
[tex]\begin{gathered} x=t+3 \\ t=x-3 \end{gathered}[/tex]2. Substitute the t in the second equation by (x-3):
[tex]\begin{gathered} y=2t^2-4 \\ y=2(x-3)^2-3 \end{gathered}[/tex]3. Write the equation you get in previous step in standard form:
[tex]\begin{gathered} (a-b)^2=a^2-2ab+b^2 \\ \\ y=2(x^2-2*x*3+3^2)-3 \\ y=2(x^2-6x+9)-3 \\ y=2x^2-12x+19-3 \\ \\ y=2x^2-12x+16 \end{gathered}[/tex]To find the inverval of x use the equation x=t+3 and the interval of t
[tex]\begin{gathered} t\lbrack-4,0\rbrack \\ x=t+3 \\ x=-4+3=-1 \\ x=0+3=3 \\ \\ x\lbrack-1,3\rbrack \end{gathered}[/tex]Answer:[tex]\begin{gathered} y=2x^2-12x+16 \\ \lbrack-1,3\rbrack \end{gathered}[/tex]an article in a psychology journal journal claims that young students who play a musical instrument tend to have higher test scores on state math exams.
#4 Write an equation, in slope-intercept form, for a line that passes through (3, 4) and has a y-intercept of -8.
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ - 8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 8}(x-\stackrel{x_1}{3}) \\\\\\ y-4=-8x+24\implies {\Large \begin{array}{llll} y=-8x+28 \end{array}}[/tex]
(c)
Calculate the return on investment (as a %) for 2007, 2008, and 2009. (Round your answers to the nearest tenth of a percent.)
2007
Incorrect: Your answer is incorrect.
%
2008
Incorrect: Your answer is incorrect.
%
2009
Incorrect: Your answer is incorrect.
%
(d)
Prepare a trend analysis of the net revenue and total assets for 2005 through 2009. (Round your answers to one decimal place.)
2009 2008 2007 2006 2005
Net Revenue
Incorrect: Your answer is incorrect.
\
Changed: Your submitted answer was incorrect. Your current answer has not been submitted.
100.0
Total Assets
156.8
Correct: Your answer is correct.
158.3
Correct: Your answer is correct.
149.5
Correct: Your answer is correct.
125.2
Correct: Your answer is correct.
100.0
Answer:
thats confusing is there any other ways you could format it?
Step-by-step explanation:
Which law is used to come to the stated conclusion? If no conclusion can be drawn, answer "no conclusion". If Rae is the driver today then Maria is the driver tomorrow. Annis the driver today.
DEFINITIONS:
1) Law of Contrapositive: This law reverses the conclusion and the hypothesis of the inverse of the conditional statement. This is expressed as:
[tex]\begin{gathered} \text{Original Statement: If p, then q} \\ \text{Contrapositive Statement: If not q, then not p} \end{gathered}[/tex]2) Law of Detachment: This law states that if the conditional statement is true, and the hypothesis is true, then the conclusion is true as well. This is expressed as:
[tex]\begin{gathered} 1)\text{ If p, then q} \\ 2)\text{ p} \\ \text{Then},\text{ statement q is true} \end{gathered}[/tex]3) Law of Syllogism: This law is explained as:
[tex]\begin{gathered} 1)\text{ If p, then q} \\ 2)\text{ If q, then r} \\ \text{Then,} \\ 3)\text{ If p, then r is true} \end{gathered}[/tex]QUESTION:
The statements provided can be separated as shown below:
[tex]\begin{gathered} 1)\text{ p = Ray is the driver today} \\ 2)\text{ q = Maria is the driver tomorrow} \\ 3)\text{ r = Ann is the driver today} \end{gathered}[/tex]The question states that
[tex]\text{If p, then q}[/tex]and
[tex]r\text{ is true}[/tex]This conclusion cannot be proved using any of the rules above.
Therefore, no conclusion can be drawn on the truth of the statement.
how many zeros does the product of 25^5 ×150^4 ×2008 ^3 end with?
Answer:
13 trailing zeros
Explanation:
Our goal is to rewrite the expression such that we have 10 as a factor. Then the power of 10 will give us the number of trailing zeros.
The product can be rewritten as
[tex](5^2)^5\cdot(2\cdot3\cdot25)^4\cdot(2^3\cdot251)^3[/tex]which can further be rewritten as
[tex]5^{10}\cdot(2^4)(3^4)(5^8)\cdot2^9\cdot251^3[/tex][tex]\Rightarrow2^{13}\cdot3^4\cdot5^{18}\cdot251^3[/tex][tex]10^{13}\cdot3^4\cdot5^6\cdot251^3[/tex]We see that by rewriting our expression 10 appears with a power of 13; therefore, the expression has 13 trailing zeros.
Evaluate the expression how do you get to (2^-1 x 3^0)^3 times (2^0 x 5^3) ^5
we have the expression
[tex](2^{-1}\cdot3^0)^{-3}\cdot(2^0\cdot5^3)^5[/tex]Remember that
[tex]\begin{gathered} 2^{-1}=\frac{1}{2} \\ 3^0=1 \\ 2^0=1 \\ 5^3=125 \end{gathered}[/tex]substitute in the original expression
[tex]\begin{gathered} (\frac{1}{2}\cdot1)^{-3}\cdot(1\cdot125)^5 \\ (\frac{1}{2}\cdot)^{-3}\cdot(125)^5 \end{gathered}[/tex][tex]\begin{gathered} (\frac{1}{2})^{-3}=2^3=8 \\ \end{gathered}[/tex]substitute
[tex]\begin{gathered} 8\cdot(125)^5 \\ 8\cdot30,517,578,125 \\ 244,140,625,000 \end{gathered}[/tex]therefore
The answer is
244,140,625,000Which of the following expressions can be used to find PQ? A. 12 • sin 42°B. 12 • cos 42°C. 12/cos42°D. 12/sin42°
PQ is hypotenuse of the triangle
pR is the opposite side
so,
it will come like
sin 42=12/PQ
PQ=12/sin 42
so the answer is D
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An equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x
In this question, we have been given the number of people employed in some country as medical assistant.
We need to write an equation that models the number of people employed in some country as medical assistant in the last year x.
the number of people employed in some country as medical assistant:
in 2004 = 359 thousand
and by 2014 this number is expected to be 560 thousand.
We find the rate of employment.
Consider (x1, y1) = (0, 359) and (x2, y2) = (14, 560)
m = (560 - 359)/(14 - 0)
m = 201/14
m = 14.35
We have been given the line must pass through points (0, 359) and (14, 560)
And, we get the y-intercept c = 359
with slope m = 14.35 and y-intercept c = 359, the equation of the line would be,
y = 14.35x + 359
Therefore, an equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x
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