C. to show the populations of major cities in 1500
Answer:
C. to show the populations of major cities in 1500
Step-by-step explanation:
correct on edge
Yuto solved the equation below.
What is the solution to Yuto’s equation?
For this case we have the following equation:
[tex]-2 (x + 5) = - 2 (x-2) +5[/tex]
We apply distributive property to the terms within parentheses:
[tex]-2x-10 = -2x + 4 + 5[/tex]
We add similar terms to the right side of the equation:
[tex]-2x-10 = -2x + 9[/tex]
We add 2x to both sides of the equation:
[tex]-10 = 9[/tex]
Equality is not fulfilled, so the equation has no solution.
Answer:
It has no solution
Answer: Yuto's equation has no solution.
Step-by-step explanation:
To find the solution to Yuto’s equation, you need to solve for the variable "x":
Apply Distributive property:
[tex]-2(x+5)=-2(x-2)+5\\\\-2x-10=-2x+4+5\\\\-2x-10=-2x+9[/tex]
Add [tex]2x[/tex] to both sides of the equation:
[tex]-2x-10+2x=-2x+9+2x\\\\0x-10=9\\\\-10=9\ (False)[/tex]
Therefore, the equation has no solution.
Identify an equation in point slope form for the Line perpendicular to y=-4x-1 that passes through (-2,7)
Answer:
[tex]y - 7 = \frac{1}{4}(x + 2)[/tex]
Step-by-step explanation:
Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are. Plus, perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES] so −4 becomes ¼.
I am joyous to assist you anytime.
Is 3[g(x)] = x a linear function?
Answer: no
Step-by-step explanation:
Linear functions are straight lines and are also written in the form y=mx+b
The linearity of 3[g(x)] = x depends on the form of g(x). If g(x) is linear, such as g(x) = ax, then the equation is linear. Otherwise, if g(x) involves non-linear operations, the overall equation will not represent a linear function.
Whether or not the equation 3[g(x)] = x represents a linear function depends on the form of g(x). If g(x) is a linear function, then the equation represents a linear transformation. If g(x) is nonlinear, then the overall function is not linear.
For example, if g(x) = exp(3x), the relationship is non-linear due to the exponential function. However, if the g(x) function is a simple linear function like g(x) = a₁x, with a constant coefficient, the equation maintains its linearity. In this scenario, the function could even represent a constant multiple of the identity function, where g(x) = x/3.
It is important to note that in the context of mathematics, understanding whether a function is linear involves recognizing if it can be written in the form of g(x) = mx + b, where m and b are constants, and the function results in a straight line on a graph.
Solve the following equation for x: 2x + 5y = 8.
Answer:
x = -5/2 y +4
Step-by-step explanation:
2x+5y = 8
Subtract 5y from each side
2x+5y -5y = -5y+8
2x = -5y+8
Divide each side by 2
2x/2 = -5y/2 +8/2
x = -5/2 y +4
Use the net to find the surface area of the cylinder
give your answer in terms of pi
A 25pi yd2
B 70pi yd2
C 50pi yd2
D 120pi yd2
Answer:
D) 120pi yd2
Step-by-step explanation:
What is the definition of a base number
Answer:
main number
Step-by-step explanation:
Final answer:
A base number in mathematics is the number raised to a power, where in scientific notation it is always 10, whereas in economic terms, a base year is a reference year for economic measurements.
Explanation:
The definition of a base number in mathematics generally refers to the number that is being raised to a certain power. In the context of scientific notation, the base number is always 10. This is used to succinctly represent very large or very small numbers in the form N x 10^n, where N is a number greater than or equal to 1 and less than 10, and n is a positive or negative integer; for example, 10^0 = 1. However, the concept of a base extends beyond just the number 10; any number can act as a base in different mathematical contexts.
When discussing numbers in a positional numeral system, the base determines the value of each digit in the number and how those digits are combined to represent the overall number. For instance, in the base-10 system, the digits 0 through 9 are used, and the position of each digit indicates how many multiples of powers of 10 it represents. Finally, in the context of economic indexes, a base year is a reference year against which economic growth or inflation is measured.
which of the following is an arithmetic sequence?
Answer:
B
Step-by-step explanation:
And arithmetic sequence is a sequence in which the difference between each of the numbers are constant.
It is not A, because the difference between 3 and 9 is positive 6, and the difference between 9 and 81 is positive 72.
It is not C, because the difference between 4 and 1 is -3, and the difference between 1 and 4 is positive 3.
It is not D, because the difference between 2 and -2 is -4, and the difference between -2 and 2 is positive 4.
And it is B because the numbers maintain a constant difference between each other, which is -3.
Answer:
B
Step-by-step explanation:
An arithmetic sequence has a common difference (d) between consecutive terms.
The only sequence with a common difference is B
1 = 4 = - 3
- 2 - 1 = - 3
- 5 - (- 2) = - 5 + 2 = - 3
What is the solution to the equation
Answer:
x = 12
Step-by-step explanation:
5(x - 6) = 2(x + 3)
Distribute
5x - 30 = 2x + 6
Put like terms on each side by subtracting both sides by -2x and adding 30 on each side
3x = 36
Simplify
3x/3 = 36/3
x = 36/3
x = 12
Plug is back in to check
5(12) - 30 = 2(12) + 6
60 - 30 = 24 + 6
30 = 30
Answer:
x=12
Step-by-step explanation:
5(x-6) = 2(x+3)
Distribute
5x-30 = 2x+6
Subtract 2x from each side
5x-2x -30 = 2x-2x+6
3x-30 =6
Add 30 to each side
3x-30+30 = 6+30
3x=36
Divide each side by 3
3x/3 = 36/3
x =12
Dimetri says that a function that is made of terms
where the variable is raised only to an odd power
will be an odd function. Do you agree with
Dimetri?
Answer:
Dimetri says that a function that is made of terms
where the variable is raised only to an odd power
will be an odd function. Do you agree with
Dimetri?
Step-by-step explanation:
If g is an odd function and f is an odd function then g ◦ f is odd.
g ◦ f (x) = g (f (x)) = g (−f (−x)) = −g (- (- f (−x))) = −g (f (−x)) = - g ◦ f (−x)
The answer is: No, I am not agree with Dimetri, statement is false because there are so many counterexamples.
Answer:
Sample Response: He is correct only if there is no constant term. −x to an odd power is −x, so the signs will change on the terms with the variable but not on the constant term.
Step-by-step explanation:
Find the lateral area of a rectangular prism with l=6, w=4, h=2
Answer:
40 square units
Step-by-step explanation:
The surface area is given by
LA = 2(wh+lh)
where h is the height l is the length and w is the width
We do not include the top or bottom
We know l=6 w=4 and h=2
LA = 2 ( 4*2 + 6*2)
lA = 2( 8+12)
= 2 (20)
= 40
Please help me with question 5
Answer:
99x +84 ≤ 1,150
Step-by-step explanation:
Her budget is $1,150, this means that the price of all her purchases cannot exceed it. In other words, the sum of all her purchases must be less or equal to 1,150.
To find how many watches she can buy, you need to multiply it by the price of the watches, which is $99, so it will be 99x.
As for the shirts, she spent $84.
So the inequality equation you will need will be the sum of the price of watches and shirts is less than or equal to 1,150.
99x + 84 ≤ 1,150
Which of the following shows the polynomial below written in descending order
When it asks for descending order of the polynomial it wants you to put the exponents in order from largest to smallest like so...
C. [tex]x^{12} +3x^{7} + 4x^{3} -9x[/tex]
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Option C
Step-by-step explanation:
In this question the given polynomial is 4x³ + 3x⁷ - 9x + x¹²
If we rewrite it in the descending order of the powers then the polynomial will be
x¹² + 3x⁷ +4x³ + 9x
This polynomial matches with option C.
Option C is the answer.
What is the following product? Assume x ≥ 0
\sqrt[3]{x^{2} } . \sqrt[4]{x^{3} }
A. x\sqrt{x}
B. \sqrt[12]{x^{5} }
C. x(\sqrt[12]{x^{5} } )
D. x6
For this case we must multiply the following expression:
[tex]\sqrt [3] {x ^ 2} * \sqrt [4] {x ^ 3}[/tex]
By definition of properties of otencias and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
We rewrite the terms of the expression:
[tex]\sqrt [3] {x ^ 2} = (x ^ 2) ^ {\frac {1} {3}} = (x ^ 2) ^ {\frac {4} {12}}\\\sqrt [4] {x ^ 3} = (x ^ 3) ^ {\frac {1} {4}} = (x ^ 3) ^ {\frac {3} {12}}[/tex]
So, we have:
[tex](x ^ 2) ^ {\frac {4} {12}} * (x ^ 3) ^ {\frac {3} {12}} =[/tex]
Applying the above definition we have:
[tex]\sqrt [12] {(x ^ 2) ^ 4} * \sqrt [12] {(x ^ 3) ^ 3} =[/tex]
We multiply the exponents:
[tex]\sqrt [12] {x ^ 8} * \sqrt [12] {x ^ 9} =[/tex]
We combine using the product rule for radicals.
[tex]\sqrt [12] {x ^ 8 * x ^ 9} =[/tex]
By definition of multiplication properties of powers of the same base, we put the same base and add the exponents:
[tex]\sqrt [12] {x ^ {8 + 9}} =\\\sqrt [12] {x ^ {17}} =\\\sqrt [12] {x ^ {12} * x ^ 5} =\\x \sqrt [12] {x ^ 5}[/tex]
Answer:
Option C
Answer:
its c
Step-by-step explanation:
2-digit numbers less than 91 which are 1 less than a multiple of 10
Answer:
{19, 29, ... , 79, 89}
Step-by-step explanation:
Multiples of 10 are {10, 20, 30, 40, ... , 90}
Numbers which are each 1 less than these multiples of 10 would be:
{9, 19, 29, ... , 79, 89}.
Note that the last number, 89, is less than 91.
We must omit 9 from this set, since 9 is not a 2-digit number. Then our final list is {19, 29, ... , 79, 89}.
Answer:
The numbers are 19,29,39,49,59,69,79,89
Step-by-step explanation:
2 digit numbers starts from 10 and ends on 99.
2 digit numbers less than 91 starts from 10 and ends at 90.
2 digit numbers less than 91 and multiple of 10 are 10,20,30,40,50,60,70,80,90.
2 digit numbers less than 91 and which are 1 less than a multiple of 10 are 19,29,39,49,59,69,79,89.
The numbers are 19,29,39,49,59,69,79,89
Stefania pours 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl. How many liters are in the punch bowl?
Answer:
3.5 liters
Step-by-step explanation:
2 liters + 1.5 liters = 3.5 liters
14. Which of the following is the largest?
2^50 3^40 4^30 5^20
2. 3^40
3. 4^30
4. 5^20
1. 2^50
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 1.5% syrup?
Answer:
He needs 0.075 lbs of sugar and 4.925 lbs of water.
Step-by-step explanation:
Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.
Note
5 lbs - 100%
x lbs - 1.5%
Write a proportion:
[tex]\dfrac{5}{x}=\dfrac{100}{1.5}[/tex]
Cross multiply:
[tex]100x=5\cdot 1.5\\ \\100x=7.5\\ \\x=\dfrac{7.5}{100}=0.075[/tex]
So, he needs 0.075 lbs of sugar and 5 - 0.075 = 4.925 lbs of water.
For the straight line y=-
-4, what are the slope and y-intercept?
slope = 5, y-intercept = 4
slope = -
y-intercept = 4
slope =
y-intercept = -4
slope =
y-intercept = 4
Answer:
y-intercept is [0, -4]
Step-by-step explanation:
Straight lines NEVER have rate of changes [slopes].
Zed is making a centerpiece for his dining room table by putting sand in a cube-shaped vase. The vase is 0.25 meters in length, width, and height. He bought 25 kg of sand. Assume the density of dry sand is 1,602 kgm3. What is the volume of the sand that Zed purchased?
The volume of the sand is approximately __________ m3.
Enter your answer as the number that correctly fills in the blank in the previous sentence. If necessary, round your answer to six decimal places, like so: 42.536475
The answer is:
The volume of the sand is approximately 0.015605 m3
Why?To solve the problem, and find the volume of the sand that Zed purchased, we need to use the formula to calculate the density and isolate the volume from it.
So, solving we have:
[tex]density=\frac{mass}{volume}[/tex]
From the statement we know that:
The mass of the sand is 25 kg
The density of the dry sand is 1,602 kg/m3
So, substituting and solving we have:
[tex]density=\frac{mass}{volume}\\\\volume=\frac{mass}{density}\\\\volume=\frac{25kg}{1,602\frac{kg}{m^{3}}}=0.015605m^{3}[/tex]
Hence, the volume of the sand is approximately 0.015605 m3
Have a nice day!
Given x = wavelength and y = frequency, solve for the wavelength for the given type of radiation.
y= 3×10^8 m/s /x
Answer: 1 x 10^27 m
Step-by-step explanation:
Rewrite the equation below in standard form y=-4x-2
Answer:
4x + y = - 2
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = - 4x - 2 ( add 4x to both sides )
4x + y = - 2 ← in standard form
Answer:
4x + y = -2
Step-by-step explanation:
The diagram below gives the dimensions of a swimming pool.
- 18 ft
What is the total area of the swimming pool? Show your work. (2 points)
b. What is the perimeter of the swimming pool? Show your work. (2 points)
Click or tap here to enter text.
Answer:
[tex]area = base \times hight 36 \times 18 \: ad perimeter \: base \times base \times hight \times hight36 \times 36 \times 18 \times 18[/tex]
Area is given by base * the Hight which gives the area of the pool
The function s(V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.
What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?
s > 0
s 4
s 8
s 16
Answer:
[tex]s\geq 4\ cm[/tex]
Step-by-step explanation:
we know that
[tex]s(V)=\sqrt[3]{V}[/tex]
where
s is the side length, in units, of a cube
V is the volume of a cube in cubic units
For a [tex]V=64\ cm^{3}[/tex]
substitute in the formula
[tex]s=\sqrt[3]{64}[/tex]
[tex]s=4\ cms[/tex]
If Jason wants to build a cube with a minimum of 64 cubic centimeters
therefore
the minimum length side of the cube is 4 cm
[tex]s\geq 4\ cm[/tex]
Which scatterplots display an example of a cluster ? Check all that apply
Answer:
1st and 3rd options
Step-by-step explanation:
We have been given three scatter plots. We are asked to choose the plots with cluster.
We know that cluster in a dot plot is formed when many data points lie in a small interval.
We can see that graphs represented by 1st option and 3rd option have many data points in a small interval, therefore, 1st and 3rd options are correct choice.
Answer:
Step-by-step explanation:
The mass of a small virus is 10^-20 kg. The mass of an average human cell is 10^-12 kg. Which of the two has lesser mass? how many less is it?
For this case we have:
[tex]10 ^ {- 20}[/tex], we must run the decimal point 20 spaces to the left.
[tex]0.00000000000000000010 \ kg[/tex]
[tex]10 ^ {- 12}[/tex], we must run the decimal point 12 spaces to the left.
[tex]0.000000000010 \ kg[/tex]
Thus, it is observed that the mass of a small virus is smaller!
We subtract and obtain:
[tex]10 ^ {-11}[/tex]
ANswer:
The mass of a small virus is less!
Answer: -10kg
Step-by-step explanation:
10-20 =-10
10-22 =-12
-10 is lesser
Find the volume of the solid generated when the region bounded by y= x and y= 4√x is revolved about the x-axis
The volume of the solid is:
(Type an exact answer
cubic units)
Check the picture below, that enclosed area is pretty much our "washer".
now, to get the outer radius, or "farther" radius from the axis of rotation, what I usually do is, use the f(x) - g(x) to get the area under the curve, using the axis of rotation for g(x).
[tex]\bf \stackrel{\textit{top, f(x)}}{4\sqrt{x}}~~-~~\stackrel{\textit{bottom, g(x)}}{(0)}\implies \stackrel{\textit{farthest radius}}{4\sqrt{x}-0\implies 4\sqrt{x}} \\\\\\ \stackrel{\textit{top, f(x)}}{x}~~-~~\stackrel{\textit{bottom, g(x)}}{(0)}\implies \stackrel{\textit{closest radius}}{x-0\implies x} \\\\[-0.35em] ~\dotfill\\\\ 4\sqrt{x}=x\implies \stackrel{\textit{squaring both sides}}{16x=x^2\implies }16x-x^2=0[/tex]
[tex]\bf x(16-x)=0\implies x= \begin{cases} 0\\ 16 \end{cases}\qquad \qquad \impliedby \textit{these are the bounds} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{16}~\pi [(4\sqrt{x})^2-(x)^2]dx\implies \pi \int\limits_{0}^{16}[16x-x^2]dx\implies \pi \int\limits_{0}^{16}16x~~-~~\pi \int\limits_{0}^{16}x^2[/tex]
[tex]\bf \pi \left. 16\cdot \cfrac{x^2}{2} \right]_{0}^{16}-\left. \cfrac{\pi x^3}{3} \right]_{0}^{16}\implies \left. \pi 8x^2 \cfrac{}{}\right]_{0}^{16}-\left. \cfrac{\pi x^3}{3} \right]_{0}^{16} \\\\\\ \left( \pi [2048]-\pi [0] \right)-\left(\left[ \cfrac{4096\pi }{3} \right]-[0] \right)\implies 2048\pi -\cfrac{4096\pi }{3} \implies \cfrac{2048\pi }{3}[/tex]
What is the greatest common factor of 8 and 36
Answer:
4
Step-by-step explanation:
When multiplying, the greatest common factor of each is four.
8= 4 x 2
36= 4 x 9
The greatest common factor (GCF) of 8 and 36 is 4. The correct option is B.
GCF stands for "Greatest Common Factor." It refers to the largest positive integer that divides evenly into two or more given numbers. In other words, the GCF is the largest number that is a factor of all the given numbers.
Finding the GCF is useful in various mathematical operations, such as simplifying fractions, finding equivalent fractions, or solving equations. It helps in identifying common factors and simplifying calculations.
To find the GCF, you can identify the common factors of both numbers and determine the largest one they share.
The factors of 8 are 1, 2, 4, and 8.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The largest factor that both 8 and 36 share is 4.
Therefore, the greatest common factor of 8 and 36 is 4.
To learn more about the greatest common factor click:
https://brainly.com/question/2352983
#SPJ6
what is x and y when the right angle side is 7 and the angles are 90,45 and 45?
Answer:
x=7
Step-by-step explanation:
The other angle is equivalent to 45 degrees. According to the 45-45-90 triangle theorem, the hypotenuse is a times the square root of 2 and the legs are equivalent to a. In this scenario a is equivalent to 7. X is another leg and therefore is also 7.
Solve 4x+2=12 for using the change of base formula logby=logy over logb
Answer:
log₄ 10 = log₁₀ 10 / log₁₀ 4
Step-by-step explanation:
Taking the x to be a power then;
[tex]4^x +2 =12[/tex]
[tex]4^x = 12-2[/tex]
[tex]4^x=10[/tex]
Introduce log on both sides
x log 4= log 10
x= log 10/log 4
log₄ 10 = log₁₀ 10 / log₁₀ 4
Answer: x = log₄(3/4) = -0.207
Step-by-step explanation:
when you have the equation:
n^x = b
whe have that:
Logₙ(b) = x
in this case we have the equation:
4^(x+2) = 12
(4^x)*(4^2) = 12
16*4^x = 12
4^x = 12/16 = 3/4
x = log₄(3/4) = -0.207
Use the properties of exponents to rewrite the expression
(-3yz)(-3yz)(-3yz)(-3yz)
[tex]\bf (-3yz)(-3yz)(-3yz)(-3yz)\implies (-3yz)^1(-3yz)^1(-3yz)^1(-3yz)^1 \\\\\\ (-3yz)^{1+1+1+1}\implies (-3yz)^4\implies (-3)^4 y^4 z^4\implies 81y^4 z^4[/tex]
The expression (-3yz) (-3yz) (-3yz) (-3yz) is (-3yz) ⁴
What is a number multiplicative?A multiplicative indicates how many copies of a number are multiplied together.negative multiplicative is the reciprocal of a number with a positive multiplicative which can be mathematically represented as. X ⁻¹ = 1/X⇒(-3yz)¹ (-3yz)¹ (-3yz)¹ (-3yz)¹=(-3yz)¹⁺¹⁺¹⁺¹
⇒ (-3yz)¹ (-3yz)¹ (-3yz)¹ (-3yz)¹ = (-3yz)⁴
Learn more about multiplication here:-https://brainly.com/question/1087373
#SPJ2