a) -43, -12, -1 1/2
b) 1 1/2. 12, 43
c) it is different
Explanation:a) -1 1/2, -12, -43
from the least to the greatest:
The higher a negative number , the lesser the value of the number
-43, -12, -1 1/2
b) The absolute values of -1 1/2, -12, -43:
1 1/2, 12, 43
absolute values from least to greatest:
1 1/2. 12, 43
The order of the rational numbers in part (a) is different from the order of the numbers' absolute values in part (b)
c) Absolute values of a negative number gives a positive number. The higher a posititve number, the greater its value. While a higher negative number has a lower value. This makes the result in ordering the data different
log8x^3expand log fully using the properties of logs.
The answer is: log(8) + 3log(x)
[tex]\begin{gathered} \log (8\cdot x^3)=log(8)+log(x^3) \\ =\text{ log(8) + 3log(x) } \end{gathered}[/tex]Given a series discount of 25/25 what is the net cost equivalent?
We need to find the net cost equivalent after two consecutive discounts of 25%.
After the first discount, the percentage of the list price the client should pay is given by:
[tex]100\%-25\%=75\%[/tex]After the second discount, the percentage of the list price the client should pay is:
[tex]\begin{gathered} 75\%\cdot(100\%-25\%) \\ \\ =75\%\cdot75\% \\ \\ =\frac{75}{100}\cdot\frac{75}{100} \\ \\ =\frac{5625}{100}\cdot\frac{1}{100} \\ \\ =56.25\% \end{gathered}[/tex]Therefore, the net cost equivalent is 56.25%.
Find the coordinates of the new vertices of the image that has been dilated by a factor of 5 in orderS(-5,2) -->SY(-4,5) -->YR(-1,1) -->RA(-4,-2) -->A
S( -5, 2) ----------------> S'(-25, 10)
Y(-4, 5) ------------------> Y'(-20, 25)
R(-1, 1) --------------------> R' (-5, 5)
A(-4, -2) -----------------> A' (-20, -10)
Rewrite as a single logarithm: log 8 + log 3
log 8 + log 3
log ((8)(3)) (Using the product rule of logarithms)
log (24) (Multiplying)
The answer is log(24)
(A) which data set appears to show no relationship between it's to variable choose one( Data set in figure 1, data set figure 2, data set figure 3, data set figure 4)(B) answer for B choose one( data set figure 1, figure2, figure 3, figure 4(C) choose one ( data set figure 1, figure 2, figure 3, figure 4)(D) choose (Figure 1, figure 2, figure 3, figure 4)
EXPLANATION :
a. Data set that shows NO relationship between two variables.
The data will be scattered without having a linear or definite shape.
From the options, it is Figure 2
b. Data set that shows a negative linear relationship between two variables.
Negative linear relationship implies a downward direction in a shape of a line.
From the options, it is Figure 1
c. Data set that shows a positive linear relationship between two variables.
Positive linear relationship implies an upward direction in a shape of a line.
From the options, it is Figure 4
d. Data set that shows a nonlinear relationship between two variables.
There is a definite shape but it is not in a shape of a line.
From the options, it is Figure 3
Which set of coordinates satisfies the equations x - 2y = -1 and 2x + 3y = 12?6541-6-5-4-3-2- 1123456-1-2-3-4-5-6
Given data:
The given equations are x - 2y = -1 and 2x + 3y = 12.
The given point of intersection is the solution of the equation which is (3, 2).
Thus, the solution of the given equations is (3, 2).
Please answer the question!! Thanks!!
The value of (g/f)(x) is 7x/ 6(x+1) , and the domain is all Real numbers except -1 which is (-∞,∞)-{-1} .
In the question ,
it is given that
the function f(x) = 6/x
and the function g(x) = 7/(x+1)
the function (g/f)(x) means g(x) / f(x)
so , (g/f)(x) = [tex]\frac{\frac{7}{x+1} }{\frac{6}{x} }[/tex]
= 7/(x+1) * x/6
= 7*x / 6(x+1)
= 7x/ 6(x+1)
For Domain 6(x+1) ≠ 0
6(x+1) ≠ 0
which means 6 ≠ 0 and x+1 ≠ 0
x ≠ -1
so domain is all Real numbers except -1 .
that is (-∞,∞)-{-1}
Therefore , The value of (g/f)(x) is 7x/ 6(x+1) , and the domain is all Real numbers except -1 in interval notation is (-∞,∞)-{-1} .
Learn more about Functions here
https://brainly.com/question/28262705
#SPJ1
Solve each equation by completing the square. 2x^2+8x=12.
We have the following:
[tex]2x^2+8x=12[/tex]solving for x:
[tex]\begin{gathered} 2x^2+8x=12 \\ x^2+4x=6 \\ x^2+4x+2^2=6+2^2 \\ (x+2)^2=10 \\ x+2=\sqrt{10}\rightarrow x=\sqrt[]{10}-2 \\ x+2=-\sqrt[]{10}\rightarrow x=-\sqrt[]{10}-2 \end{gathered}[/tex]Determine whether the two polygrams are similar. If so write the similarities ratio in the similarity statement for questions 1 please
Given rectangles ABCD and WXYZ, you need to determine whether they are similar.
By definition, two figures are similar if the lengths of their corresponding side are in proportion and if the measures of their corresponding angles are equal.
You know that all the interior angles of a rectangle measure 90 degrees. Therefore, you know that the corresponding angles of the given rectangles are congruent.
In order to determine if their corresponding sides are in proportion, you can set up this equation:
[tex]\frac{64}{96}=\frac{30}{50}[/tex]Reducing the fractions, you get:
[tex]\frac{2}{3}=\frac{3}{5}\text{ (False)}[/tex]Therefore, the lengths of the corresponding sides are not in proportion.
Hence, the answer is: The rectangles are not similar.
Dan wants to put a fence around his rectangular garden. His garden measures 35 feet by 44 feet. The garden has a path around it that is 3 feet wide. How much fencing material does Dan need to enclose the garden and path?
Garden measures:
Width(w) : 35 feet
Length(L) : 44 feet
Then, add the measures of the path
35+3 = 38
44+3 =47
Apply the perimeter formula:
P = 2w+ 2L
Replace:
P = 2(35)+2(44) = 70+88=158
Dan needs 158 feet of fencing material to enclose the garden and path.
if 3/4 is the dividend and -2/5 is the divisor then what is the quotient ?
Answer:
[tex]\dfrac{-15}{8}[/tex]
Step-by-step explanation:
Fraction division:[tex]\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}[/tex]
Use KCF method.
Keep the first fraction.Change division to multiplicationFlip the second fraction.[tex]\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}=\dfrac{3}{4}*\dfrac{-5}{2}[/tex]
[tex]\sf = \dfrac{3*(-5)}{4*2}\\\\ =\dfrac{-15}{8}[/tex]
help meeeeeeeeeeeeeeee pleasee
Answer:
16.1 seconds
Step-by-step explanation:
h = 16t²
h = 4144
4144 = 16t²
÷16 ÷16
----------------
259 = t²
√259 = √t²
16.1 ≈ t
I hope this helps!
how to factor 3x^2-9x-84
To solve a question like this, you will need to factorise the first term of the expression out.
So, our expression becomes
[tex]3(x^2\text{ }-3x-28)\text{ }[/tex]
Now, you will need to find the factors of 28 whose sum will give you -3
Always remember to express it in terms of x.
The answer to that is -7x and +4x. Thus we can rewrite the expression as;
[tex]\begin{gathered} 3(x^2-7x+4x-28) \\ 3\left\lbrace x(x-7)+4(x-7)\right\rbrace \text{ }\Longrightarrow\text{ By factorizing the terms of the expression } \\ 3\left\lbrace x(x-7)+4(x-7)\right\rbrace \text{ }\Longrightarrow\text{which can further be factorized as} \\ 3(x-4)(x-7) \end{gathered}[/tex]In summary 3x^2-9x-84 can be factorized as
[tex]3(x-4)(x-7)[/tex]Permutations and Combinations Question 10 of 10 Find the value of 6! O A. 36 O B. 120 O C. 720 O D. 30 SUBMIT (question attached)
we are asked to find the value of 6 factorial. Therefore,
[tex]6!\text{ =6}\times5\times4\times3\times2\times1=720[/tex]Fractions least to highest. The numbers can only be used once and it is from 1-9. Any help?
There are two fractions that are equal, but one of them has a product in the denominator. We need to choose 3 numbers such that the simplified fraction lead to two different numbers. Those numbers are:
[tex]\frac{9}{6\cdot2}=\frac{3}{4}[/tex]Then, there are 4 more numbers: 1, 5, 7, and 8. 1/5 is lower than 3/4, and 7/8 is higher than 3/4. Then, the answer is:
For the function f(x) = –x^2+x– 7find f(1)
Given:
[tex]f\mleft(x\mright)=-x^2+x-7[/tex]To find f(1):
Put x=1, we get
[tex]\begin{gathered} f(1)=-(1)^2+1-7 \\ =-1+1-7 \\ =-7 \end{gathered}[/tex]Hence, the value of f(1) is -7.
Find the area of this triangle ifC = 77, a = 57, and b = 8.9.
Using Law of sines:
Area = 1/2 ab sin C
Replacing:
Area = 1/2 √57 (8.9) sin (7pi/12)
Area = 32.5 units2
Can someone solve this?
Answer:
83 deg
Step-by-step explanation:
sum of angles in triangle = 180
<1=180-(31+66)=180-97=83
Answer:
83 degrees
Step-by-step explanation:
the angles in a triangle add up to 180 degrees
. Solve for y
a. y² = 35
b. y³ = 1000
Part a
[tex]y^2=35 \implies y=\pm \sqrt{35}[/tex]
Part b
[tex]y^3=1000 \implies y=\sqrt[3]{1000}=10[/tex]
a. [tex]y^{2} = 35 - > y =+- \sqrt{35}[/tex]
b. [tex]y^{3} = 1000 - > \sqrt[3]{1000} = 10[/tex]
(+ - means either minus 35 or 35)
Pamela is 5 years older than Jiri . The sum of their ages is 45 . What is Jiri's age ?
Jiri's age is 20
Let Pamela's ae be P and Jiri's age be J
From the equation;
P = J + 5 ...............(i)
This is as Pamela is 5 years older
Adding their ages, we have 45
P + J = 45 ........................(ii)
Substitute i into ii
J + 5 + J = 45
2J + 5 = 45
2J = 45-5
2J = 40
J = 40/2
J = 20
Helppppppppppppppppppppppp
Since the x-coordinate is the one that changed, this is a horizontal reflection over the y-axis.
If you put this on a graph, you'll see the two points are opposite each other, with respect to the y-axis.
2y=12x-10 and y=6x+12 Do the lines intersect, coincide, or are they parallel?
Dividing the first equation by 2 we get:
[tex]\begin{gathered} \frac{2y}{2}=\frac{12x-10}{2}, \\ y=6x-5. \end{gathered}[/tex]Therefore, both lines have the same slope, then they must be parallel or the same line. Now, since they have different y-intercept, we get that they must be different lines.
Answer: The given lines are only parallel.
Fine the value of x and y
Answer:
x = 62 and y = 28
Step-by-step explanation:
Solving for x:
[tex]47+15 = 62\\180-62 = 118\\180 - 118 = 62 \\x = 62[/tex]
Solving for y:
[tex]62 + 90 =152\\180-152=28\\y = 28[/tex]
I need help with geometry please.
Explanation:
From the properties of a parallelogramgiven in the image below, we will have that
From the parallelogram, we were given the opposite sides to be
[tex]6x-6,3x+30[/tex]Hence,
Since the property of a parallelogram states that opposite sides are equal, we will have that
Read image for instructions How many students in the survey were in the age category of 18 to 22?
Answer:
82
Step-by-step explanation:
78+4
Juan bought 4.5 lbs of steak for $7.98 per lb sales tax is 6% what was the total amount Juan paid for steak
Juan bought 4.5 lbs for $7.98 per lb
This implies that 1 lb is sold at the rate of $7.98
1 lb -------- $7.98
4.5lb ------ $x
Introduce cross multiplication
1 * x = 7.98 x 4.5
x = $35.91
Therefore, 4.5lbs is sold at the rate of $35.91
The tax sales is 6%
Total amount = original price + 6% of original price
Total amount = 35.91 + 6/100 x 35.91
= 35.91 + 0.06 x 35.91
= 35.91 + 2.1546
= $38.0646
The total amount Juan paid is $38.0646
Write the rate as a unit rate 339 calories in a 3-ounce serving The unit rate is ? ( I don’t need a detailed explanation just the answer please )
It is given that 339 calories in 3 ounce serving.
So in one ounce serving there will be:
[tex]\frac{339}{3}=113\text{ calorie/ounce}[/tex]So the unit rate is 113 calories/ounce.
The ratio of the side lengths of a quadrilateral is 5:2:4:7, and its perimeter is 90 meters. What is the length of the longest side?
Answer:
35 meters.
Explanation:
The ratio of the side lengths of the quadrilateral are:
[tex]\begin{gathered} 5\colon2\colon4\colon7 \\ 5+2+4+7=18 \end{gathered}[/tex]The perimeter of the figure is 90 meters. Therefore, the length of the longest side will be:
[tex]\begin{gathered} =\frac{7}{18}\times90 \\ =7\times5 \\ =35m \end{gathered}[/tex]The length of the longest side is 35 meters.
What is the diameter of the circle (write only the numeric answer no units)
The circumference is 15.996 cm
Explanation:Given the area of the circle as
[tex]200.96cm^2[/tex]This means:
[tex]\begin{gathered} \pi r^2=200.96 \\ r^2=\frac{200.96}{\pi}=63.97 \\ \\ r=\sqrt{63.967}=7.998 \end{gathered}[/tex]Now that the radius has been obtained, the diameter of a circle is twice the radius, therefore
[tex]\begin{gathered} c=2\times7.998 \\ =15.996cm \end{gathered}[/tex]Please answer the questions with the correct equations for 2 through 5. The question states "Identify each polygon and calculate the perimeter of each" on the image it just got cut out.Here are some things you need to knowP = Perimeter L = lengthW = WidthS = sideHere are some formulas you need to knowSquare: P = 4s (or the perimeter is equal to to 4 times a side, since all sides are equal in a square.Rectangle: P = 2L + 2 W(or the perimeter is equal to 2 times the length and 2 times the width)Triangle: P = S + S + S(or the perimeter is equal to a side plus a side plus a side)
To identify and calculate the perimeter:
a)
Since, it has 3 sides.
Therefore, it is a triangle.
Perimeter is,
[tex]\begin{gathered} P=a+b+c \\ =12+15+8 \\ =35 \end{gathered}[/tex]Hence, perimeter of the triange is 35 ft.
b)
It is a trapezium.
Perimeter of trapezium is,
[tex]\begin{gathered} P=a+b+c+d \\ =6+3+6+5 \\ =20 \end{gathered}[/tex]Hence, perimeter of the trapezium is 20 ft.
c)
It is a rhombus.
Perimeter of rhombus is,
[tex]\begin{gathered} P=4s \\ =4(14) \\ =56 \end{gathered}[/tex]Hence, perimeter of the rhombus is 56 ft.
d)
It is a regular hexagon.
Perimeter of regular hexagon is,
[tex]\begin{gathered} P=6s \\ =6(8) \\ =48 \end{gathered}[/tex]Hence, perimeter of the regular hexagon is 48 ft.