Answer:
16,21,15
Step-by-step explanation:
The solutions are 16, 21, and 15. The only value that is not a solution is 11 since 11 is less than 15
Inequality expressions are expressions separated by an unequal sign
Given the inequality expression 15 ≤ y
On swapping sides, the inequality sign will change to have y ≥ 15
Based on the table, we need to select yes for values that are greater than or equal to 15 and select no if otherwise
Based on the given value, the solutions are 16, 21, and 15. The only value that is not a solution is 11 since 11 is less than 15
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look at the table how are, 50, 75, and 100 related to 25?
They are all divisible by 25.
what is 1/3 divided by 1/9
Answer:
3
Step-by-step explanation:
1/3 / 1/9 =
1/3 x 9 =
3
Answer:
0.3333
Step-by-step explanation:
1/9 ÷ 1/3 = 0.3333 in decimal form.
Electrons and protons are particles in an atom with equal but opposite charges. Electrons have a negative charge and protons have a positive charge. What is the charge of an atom with 2 more electrons than protons?
Answer:
Negatively charged atom
Step-by-step explanation:
When an atom gains 1 or more electrons, it becomes negatively charged. I fit loses an 1 or more electrons, it becomes positively charged.
Answer:
-2
Step-by-step explanatioN
When an atom gains 1 or more electrons, it becomes negatively charged. I fit loses an 1 or more electrons, it becomes positively charged.
is the gfc of a pair of numbers ever equal to one of the numbers
Answer:
Yes
Step-by-step explanation:
Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.
2 and 200
10 and 100
13 and 52
one thousand and one million
A music store owner noted that CD sales had dropped 33% from one quarter to the next. If the owner sold 579 units in the first quarter, how many did she sell in the next quarter?
Answer: 387.93 units
Step-by-step explanation:
You have the following information given in the problem above:
- The sales had dropped 33% from one quarter to the next.
- The owner sold 579 units in the first quarter.
Thefore, to calculate the number of units she sold in the next quarter (which you can call x), you must can apply the following proccedure:
[tex]x=579units-(0.33)(579units)[/tex]
Then the answer is the following:
[tex]x=387.93units[/tex]
To determine the number of units sold in the next quarter, we subtract 33% of 579 (approximately 191) from 579. This results in approximately 388 units sold in the next quarter.
Explanation:To solve this question, we calculate 33% of the units sold in the first quarter. 33% of 579 equals to 191.07. However, since we cannot have a fraction of a unit, we can approximate this to 191 units. Thus, in the next quarter, the music store owner sold 579 - 191 or 388 units.
This example uses a concept called percentage decrease in mathematics. A percentage decrease is the amount by which a quantity is reduced by a specified percentage.
A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%". In this case, a decrease in CD sales was represented as a percentage.
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Three-sevenths of a number is 21. Find the number.
Answer: 49
Step-by-step explanation:
HI :)
A confusing question but here's how I got my answer
1/7 is 21 divided by 3, which is 7
So now that we know what one seventh is we can multiply 7 by 7 and we get 49
Hope this helped :)
Muscles make up more than _____ of a person's body mass. A. 10% B. 25% C. 40% D. 75% Please select the best answer from the choices provided. A B C D
➷ I would say the best answer is option C. 40%. This value is an approximate but it can vary from person to person based on many factors such as age.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Muscles make up more than 25% of a person's body mass. So, the best answer among the choices provided is B. 25%.
Muscles are a crucial component of the human body and are responsible for various functions, including movement, stability, and heat production. While the exact percentage of muscle mass can vary from person to person depending on factors such as age, gender, and fitness level, an average adult's body is composed of roughly 40-50% muscle mass. However, since the options provided do not include this range, the closest approximation is 25%.
It's important to note that maintaining and building muscle mass is essential for overall health, as muscles play a vital role in metabolism, strength, and mobility. So ,Muscles make up more than B. 25% of a person's body mass.
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if the equation of a circle is (x+5)^2 + (y-7)^2=36, its center point is
Answer:
centre = (- 5, 7 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 5)² + (y - 7)² = 36 ← is in standard form
with h = - 5 and k = 7
centre = (- 5, 7)
HELP PLEASEEE!!!
Vince gross monthly pay is 2,150 (use this for 1-3)
-
(1) Vince pays 2.1% of his monthly salary for Medicare. How much does he pay each month?
-
(2) Vince pays 11.5% of his monthly pay in federal withholding. How much does he pay each month? -
(3) Vince pays 6% of his monthly salary for social security. How much does he pay each month?
Answer: The correct answers are $45.15, $247.25 and $129
Step-by-step explanation:
In order to solve the problems you need to multiply each percentage by his gross monthly pay.
$2,150 x .021 = $45.15
$2,150 x .115 = $247.25
$2,150 x .06 = $129
The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x. If the profit is the difference between the revenue and the cost, what expression represents the profit?
Answer: [tex]profit=5x-260[/tex]
Step-by-step explanation:
To solve this exercise you must subtract the polynomials given in the problem.
Therefore, if:
[tex]revenue=3x^2+4x-60\\cost=3x^2-x+200[/tex]
Then, the profit is the shown below:
[tex]profit=revenue-cost\\profit=3x^2+4x-60-(3x^2-x+200)\\profit=3x^2+4x-60-3x^2+x-200[/tex]
Add the like terms.
Therefore, you obtain:
[tex]profit=5x-260[/tex]
Answer:
[tex]5x-260[/tex]
Step-by-step explanation:
Given :
The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial [tex]3x^2 + 4x -60[/tex]
The cost, in dollars, of producing the toy cars can be modeled by [tex]3x^2 -x + 200.[/tex]
To Find: Profit function
Solution:
Revenue = [tex]3x^2 + 4x -60[/tex]
Cost = tex]3x^2 -x + 200[/tex]
Now we are supposed to find the profit
So, Profit = Revenue - Cost
[tex]Profit=3x^2 + 4x -60-(3x^2 -x + 200)[/tex]
[tex]Profit=3x^2 + 4x -60-3x^2 +x - 200[/tex]
[tex]Profit=5x-260[/tex]
Hence The expression represents the profit is [tex]5x-260[/tex]
Evaluate the expression 3x+2y when x is equal to 4 and y is equal to 2.4
Answer: 16.8
Step-by-step explanation:
Answer:
16.8
Step-by-step explanation:
3x + 2y
x = 4 and y = 2.4
//replace x and y with it's value and combine like terms.
3(4) + 2(2.4)
12 + 4.8
16.8
Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount.
What is the cost in dollars and cents for each pair of socks?
$8.34
$6.67
$4.99
$25.03
PLEASE HELP‼️ AND SHOW WORK‼️
Answer:
$4.99
Step-by-step explanation:
If she pays with $20 and recieves $5.03 in change, her total cost was 20 - 5.03 or $14.97. If each pair of socks is the same amount, 14.97 / 3 will give you the amount per each pair. 14.97 / 3 = $4.99
The cost in dollars and cents for each pair of socks is $4.99
The first step is to determine the total cost of the three pairs of socks
Total cost of the socks bought = amount paid - change received
$20 - $5.03 = $14.97
The second step is to determine the cost of each pair of socks
Cost of each pair of socks = total cost of socks / pairs bought
$14.97 / 3 = $4.99
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What math problem equals 18
3×6
(2×3)×3
108÷6
(6×7) - (2×12)
Answer:
9-0+1-1×2
Step-by-step explanation:
I can’t figure this out
Answer:
[tex]\large{60^o\to\dfrac{19\pi}{3}\\\\288^o\to\dfrac{18\pi}{5}\\\\315^o\to\dfrac{23\pi}{4}\\\\80^o\to\dfrac{22\pi}{9}}[/tex]
Step-by-step explanation:
[tex]\text{The formula of conversion of degrees to radians:}\ \dfrac{\theta \pi}{180}\\\\360^o=2\pi\\\\60^o=\dfrac{60\pi}{180}=\dfrac{\pi}{3}\qquad\dfrac{19\pi}{3}=6\pi+\dfrac{\pi}{3}=\dfrac{\pi}{3}\\\\288^o=\dfrac{288\pi}{180}=\dfrac{8\pi}{5}\qquad\dfrac{18\pi}{5}=2\pi+\dfrac{8\pi}{5}=\dfrac{8\pi}{5}\\\\315^o=\dfrac{315\pi}{180}=\dfrac{7\pi}{4}\qquad\dfrac{23\pi}{4}=4\pi+\dfrac{7\pi}{4}=\dfrac{7\pi}{4}\\\\80^o=\dfrac{80\pi}{180}=\dfrac{4\pi}{9}\qquad\dfrac{22\pi}{9}=2\pi+\dfrac{4\pi}{9}=\dfrac{4\pi}{9}[/tex]
Answer:
Step-by-step explanation:
To take a radian measure that is over 2π (360°), to an equivalent measure that is less than 2π, subtract intervals of 2π until the value is where you want it.
(23π)/4 - 2π = (23π)/4 - (8π)/4 = 15π/4
This is still more than 2π, so subtract another 2π...
(15π)/4 - 2π = (15π)/4 - (8π/4) = (7π)/4
This is less than 2π, so stop here...
following similar steps on the other 3 given radian measures give you...
(18π)/5 = (8π)/5
(22π)/9 = (4π)/9
(19π)/3 = π/3
To convert from degrees to radians, multiply the degree measure by π/180°
We have
60°(π/180°) = (60°π)/180° = π/3
288°(π/180°) = (288°π)/180° = (8π)/5
315°(π/180°) = (315°π)/180° = (7π)/4
80°(π/180°) = (80°π)/180° = (4π)/9
number of solutions for square root of 2x +3 add 6 = 0
A bicycle wheel has a diameter of 24inches.
what is the area of the wheel?
Answer:
[tex]\large\boxed{A=144\pi\ in^2\approx452.16\ in^2}[/tex]
Step-by-step explanation:
A diameter is two times longer than a radius. Therefore, if the diameter
d = 24in, then the radius r = (24in) : 2 = 12in.
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
Substitute:
[tex]A=\pi(12)^2=144\pi\ in^2[/tex]
[tex]\pi\approx3.14[/tex]
Then
[tex]A\approx(144)(3.14)=452.16\ in^2[/tex]
Final answer:
The area of a bicycle wheel with a diameter of 24 inches can be calculated using the formula A = πr² and is approximately 452.16 square inches.
Explanation:
To calculate the area of a bicycle wheel with a diameter of 24 inches, we first need to find the radius of the wheel. The radius is half of the diameter, so in this case, the radius is 12 inches. The formula to find the area of a circle is A = πr², where A is the area and r is the radius. Substituting the known radius into the formula, we find:
A = π * (12 inches)² = π * 144 inches² ≈ 3.14 * 144 inches² = 452.16 square inches
Therefore, the area of the bicycle wheel is approximately 452.16 square inches.
To construct a line parallel to a given line m through a point not m, you need to know how to construct ____ angles ?
Final answer:
To construct a parallel line through a point not on the given line, it is essential to know how to construct corresponding angles, which are equal for parallel lines created by a transversal.
Explanation:
To construct a line parallel to a given line m through a point not on line m, you need to know how to construct corresponding angles which are equal when lines are parallel. This process typically involves using a compass and straightedge to replicate the angle between the given line and a transversal at the point not on line m.
First, you would create a transversal through the point not on line m. Then you would measure the angle that the transversal makes with line m. Using the compass, you would reproduce this angle on the transversal at the point not on line m, ensuring that the angles corresponding to each other across the two lines are equal. This ensures that the new line you're constructing is indeed parallel to line m.
Solve the equation using square roots. 7x^2 + 6 =13
Answer:
x=1
Step-by-step explanation:
Take the root of both sides and solve
Answer: x=1, x=-1
Step-by-step explanation
7x^2+6-6=13-6
7x^2/7=7/7
x^2=1
x=square root(-1) square root(1)
negative goes outside
the square root
x=-1 x=1
Which right circular cylinder has the greatest volume?
HELP FAST PLEASE I WILL GIVE BRAINLIEST
Answer:
A.) The red cylinder.
Step-by-step explanation:
For a cylinder:
V = (1/3)(pi)r^2h
Red:
V = (1/3)(pi)(2^2)(4) = 16pi/3
Blue:
V = (1/3)(pi)(1^1)(8) = 8pi/3
Since 16pi/3 is greater than 8pi/3, the red cylinder has a greater volume.
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10. (5 points)
x squared divided by 5 plus y squared divided by 8 = 1
x squared divided by 25 plus y squared divided by 64 = 1
x squared divided by 8 plus y squared divided by 5 = 1
x squared divided by 64 plus y squared divided by 25 = 1
Answer:
[tex]\frac{x^2}{25}+\frac{y^2}{64}=1[/tex]
Step-by-step explanation:
If the ellipse has a vertical major axis of length 16, then
[tex]2a=16[/tex]
[tex]\Rightarrow a=8[/tex]
If the ellipse has the length of the minor axis to be 10, then;
[tex]2b=10[/tex]
[tex]\Rightarrow b=5[/tex]
The equation of the ellipse is given by;
[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2}=1[/tex]
Thus;
[tex]\frac{x^2}{5^2}+\frac{y^2}{8^2}=1[/tex]
[tex]\frac{x^2}{25}+\frac{y^2}{64}=1[/tex]
Answer: A
Step-by-step explanation:
Help!!!
Express in exponential form log4(x) = 3
A. 4^x = 3
B. 4^3 = x
C. 3^x = 4
D. 3^4 =x
ANSWER
The correct choice is B. 4³=x
EXPLANATION
The given logarithmic expression is
[tex] log_{4}(x) = 3[/tex]
We take antilogarithm of both sides to base 4.
[tex] {4}^{log_{4}(x)} = {4}^{3} [/tex]
This implies that,
[tex]x = {4}^{3} [/tex]
Answer:
B. 4³=x
Step-by-step explanation:
The log of a number to a certain base is the exponent to the said base. therefore in the given expression, 4 becomes the base, 3 the exponent, and x the result.
So the base of the log is the base of the index while the index is the log.
If a package of corn chips weigh 1.2 ounces, what is the weight in ounces of 48 packages ?
Answer:
1.2 ounces x (48 units)
= 57.6 ounces
Step-by-step explanation:
i'm not usually good at these questions but you can get a calculator that does weight multiplied by units.
so with your question it would be :
Answer: 57.6 ounces
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. Let's call x the weight in ounces of 48 packages.
2. You know that 1 package of corn chips weigh 1.2 ounces.
3. Therefore, to calculate the weight in ounces of 48 packages, you must multiply 1.2 ounces by 48.
4. Then, you obtain that the result is:
[tex]x=(1.2ounces)(48)\\x=57.6ounces[/tex]
which proportion is correct?
Answer:
C
Step-by-step explanation:
When cross multiplied all numbers must be multiples of each others.
Answer:
Step-by-step explanation:
C would be your answer !
(Iv'e done this before.)
Problems with which part of the bone would lead to blood disorders
Answer:
Bone marrow
Step-by-step explanation:
Bone marrow is the semi-solid tissue that is found in the center of your bones. Bone marrow is the primary site of new blood cell production in all birds and mammals. Problems with your bone marrow may lead to blood disorder such as anemia, leukemia, lymphoma, and myeloma.
I hope this helped!
Answer:
bone marrow
Step-by-step explanation:
I need to know what is 7 1/2 * 3 1/4 equals
Solve each equation 12sin^2-13sinx+3=0
Answer:
Step-by-step explanation:
(I assume it's [tex]12sin^2 x -13 sinx +3 = 0[/tex])
Start by setting [tex] sinx = y [/tex] (or whichever letter you prefer). Your equation becomes [tex] 12y^2 -13y +3 = 0[/tex] . Solving for y you get [tex]y = \frac {-(-13) \pm \sqrt{13^2 - 4*3*12} } {2*12} =\frac{ 13 \pm \sqrt{13^2-12^2}} {24} = \frac {13 \pm5 }{24}\\ y = \frac {18} {24} = \frac 34; y= \frac 8 {24} = 1/3[/tex]
But we're not done yet. Since we said [tex] sinx = y [/tex], you need to solve both [tex] sinx = \frac 3 4 [/tex] and [tex] sinx = \frac 1 3 [/tex], whose solutions are the inverse sine of said values, plus any number of complete rotations.
How do I do this help
U get 43 points if u answer!!! Please
DOMAIN: -\infty \:<x<\infty
RANGE: f(x) < or equal to 8
Step-by-step explanation:
A person invests 6500 dollars in a bank. The bank pays 6.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 9000 dollars?
Answer:
[tex]5.3\ years[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]A=\$9,000\\ P=\$6,500\\ r=0.0625\\n=2[/tex]
substitute in the formula above and solve for t
[tex]9,000=6,500(1+\frac{0.0625}{2})^{2t}[/tex]
[tex]1.38462=(1.03125)^{2t}[/tex]
applying log both sides
[tex]log(1.38462)=(2t)log(1.03125)[/tex]
[tex]t=log(1.38462)/2log(1.03125)=5.3\ years[/tex]
Answer: 14.4
Step-by-step explanation:
What are the zeros of f(x)=x^2-8x+16
The only zero of the function f(x) = x^2 - 8x + 16 is x = 4.
The zeros of a function, f(x), represent the values of x that make the function equal to zero. To find the zeros of the given function, f(x) = x^2 - 8x + 16, we need to solve the equation f(x) = 0.
Let's set the equation equal to zero and solve for x:
x^2 - 8x + 16 = 0
To solve this quadratic equation, we can use factoring or the quadratic formula. In this case, the equation can be factored as:
(x - 4)(x - 4) = 0
This means that the equation is equivalent to (x - 4)^2 = 0.
To find the zeros, we set (x - 4)^2 = 0 and solve for x:
(x - 4) = 0
x = 4
So, the only zero of the function f(x) = x^2 - 8x + 16 is x = 4.
In other words, the graph of the function f(x) = x^2 - 8x + 16 intersects the x-axis at the point (4, 0).
Can anybody help me please
Answer: (-4,0) (1,0) (4,0) (0,2)
The x intercepts are: (-4,0) (1,0) (4,0) and the y intercept is (0,2)
Step-by-step explanation:
The plotted points are intercepts of the graph. It is quite easy to tell what is what by looking at the graph intervals and knowing what is x and y.