Which ordered pairs make both inequalities true? Check all that apply.
(–2, 2)
(0, 0)
(1,1)
(1, 3)
(2, 2)
Answers
Answer:
the answers are c and e 1,1 and 2,2
Step-by-step explanation:
Answer:
(1,1) (2,2)
Step-by-step explanation:
Related Questions
The football team has 30 more members than the basketball teams. If each group had 10 more members, the ratio of their membership would be 3.2. How many members are in each group? Write your answer as football x basketball y
****PLEASE HELP********
Answers
Divide 40x/ 64y by 5x/ 8y
A. 1
B. 3/4
C. 25x^2/ 64y^2
D. 25/64
Answers
(40x/64y)(8y/5x)
320xy/(320xy)
1
The division to the expression Divide 40x/ 64y by 5x/ 8y is (a) 1
How to evaluate the quotient expression
From the question, we have the following parameters that can be used in our computation:
Divide 40x/ 64y by 5x/ 8y
As an expression we have
40x/ 64y ÷ 5x/ 8y
So, we have
40x/ 64y ÷ 5x/ 8y = 40x/ 64y * 8y/5x
Divide the variables
This gives
40x/ 64y ÷ 5x/ 8y = 40/64 * 8/5
Lastly, we have
40x/ 64y ÷ 5x/ 8y = 1
Hence, the solution to the expression is (a) 1
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What is the difference between an image and a pre-image in a transformation? How do you tell them apart?
Answers
To tell them apart, they will usually be defined separately. For example, the square ABCD, when translated four units right becomes square A'B'C'D'.
If you know the transformation performed, you can apply this to differentiate between the preimage and image if they are not labeled. Only one square will be on the right of the other square, and since the translation is "four units right", it has to be the rightmost square that is the image.
The image is the product of a transformation while a pre-image is the original image on which a transformation operation is performed.
What is the image in a transformation?The image is the product of a transformation or it is the figure obtained after a transforms operation is performed.
What is the preimage in transformation?A pre-image is the original image on which a trabsosfiemarion operation is performed.
The pre-image is differentiated from the image by the labelling convention used as well as by studying the transformation performed.
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Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, R, in beats per minute, can be approximated by the formulas
for women
for men,
where a represents the person’s age. If the desirable heart rate for a man is 135 beats per minute, how old is he?
a.
22.5 years old
b.
40 years old
c.
45 years old
d.
42.5 years old
Please select the best answer from the choices provided
Answers
Nevertheless, I searched for them and here they are:
For women, R = 143 - 0.65a
For men, R = 165 - 0.75a
You are asked for the age of a man whose desirable R is 135, so you must use the equation for men, R = 165 - 0.75a, replace 135 for R and solve for a.
=> 135 = 165 - 0.75a
=> 0.75 a = 165 - 135
=> 0.75 a = 30
=> a = 30 / 0.75
=> a = 40.
Answer: option b. 40 years old.
How many degrees are in the compliment of 54 degree angle? Why?
Answers
The area of a circular trampoline is 112.07 square feet. What is the radius of the trampoline? Round to the nearest hundredth.
A. 3.37 feet
B. 10.59 feet
C. 35.67 feet
D. 5.97 feet
Answers
Plug in 112.07 in for A since it's the area.
Divide both sides by π to get 35.69.
Take the square root to get 5.97.
Which logarithmic equation is equivalent to the exponential equation below 4c=256
Answers
To convert the exponential equation 4c = 256 into a logarithmic form, one can apply the logarithm to both sides, simplifying using the property that the logarithm of a power is the exponent times the logarithm of the base, yielding the equivalent equation c = 4.
The question requires us to convert the exponential equation 4c = 256 into a logarithmic form. To achieve this, we need to recognize that a logarithm function is the inverse of an exponential function. Therefore, applying a logarithm to both sides of the equation will allow us to solve for the variable c.
It's important to note that any logarithmic base can be used, but common practice is to use either base 10 (common logarithm) or the natural base e (natural logarithm).
Since 256 is 4 raised to the 4th power (4⁴), we can write the equation as 4c = 4⁴. By applying the logarithm, we then get the equivalent logarithmic equation log(4c) = log(4⁴).
Using the property of logarithms that states the logarithm of a number raised to an exponent will be the product of the exponent and the logarithm of the number, we can simplify this to c*log(4) = 4*log(4). Since log(4) is a common factor on both sides, dividing by log(4) gives us c = 4.
Henry is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Henry has been adding money. Suppose that x and y are related by the equation y=20x+650 . Answer the questions below. Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What was the starting amount of money in the account? $
What is the change per week in the amount of money in the account? $
Update: solved
Answers
charge per week : 20 bucks
Describe how the graphs of functions f and g are related: f (x) = 2cos(pi x) g(x) = 2cos(2pi x)
Answers
but the period is half in the second case. Period of the first one is 2, in the second one is 1, so it will oscillate twice as many times than the first one, but it will go from -2 to 2, both of them
Hope it helps
f and g have the same trajectory: cosine function
But, g has half of the frequency of f
Which of the following is a polynomial with roots 5, 7, and −8?
Answers
plz rate brainliest
$14,146,727 is what percent of $117,190,375
Answers
______________________________________________________
" $14,146,727 is 12.016 % of $117,190,375 . "
______________________________________________________
Explanation:
___________________________________________________________
14,146,727 is what percent of: 117,190,375 ?
___________________________________________________________
14,146,727 = (n/100) * 117,190,375 ; Solve for "n" ;
↔ (n/100) * 117,190,375 = 14,146,727 ;
Divide each side of the equation by "(117,190,376)" ;
___________________________________________________________
[ (n/100) * 117,190,375 ] / [ 117,190,375 ] = [ 14,146,727 ] / [ 117,190,375 ] ;
___________________________________________________________
to get:
___________________________________________________________
(n/100) = [ 14,146,727 ] / [ 117,190,375 ] ;
(n/100) = 0.1207157755063076 ;
___________________________________________________________
Multiply EACH SIDE of the equation by 100 ;
to isolate "n" on one side of the equation; and to solve for "n" ;
___________________________________________________________
(n/100) * 100 = ( 0.1207157755063) * 100 ;
______________________________________________________
to get: n = 12.0715775063 .
______________________________________________________
The answer is: " 12.0715775063 % " ; round to: " 12.016 % " .
______________________________________________________
" $14,146,727 is 12.016 % of $117,190,375 . "
______________________________________________________
Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°
Answers
The two pairs of polar coordinates are : [tex]( 3\sqrt{2}, 315^{0} ) , ( -3\sqrt{2}, 135^{0} )[/tex]
Polar coordinates are coordinates labeled as ( r, θ ) , where r = radial coordinate while θ is known as the angular coordinate. Polar coordinates are also plotted on a polar grid.
Using the given data
Point ( 3 , - 3 )
[tex]r = \sqrt{3^2 + (-3)^2} = 3\sqrt{2}[/tex]
θ =
[tex]tan^{-1} (\frac{-3}{3}) = \pi - \frac{\pi }{4} , 2\pi - \frac{\pi }{4} \\\\= 3\pi , \frac{7\pi }{4} , -\frac{\pi }{4}[/tex]
In degrees = 135° , 315° , -45° ( neglecting -45° )
Hence the two pairs of polar coordinates for the point ( 3 , -3 ) can be taken as ; [tex]( 3\sqrt{2}, 315^{0} ) , ( -3\sqrt{2}, 135^{0} )[/tex]
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Answer:
c on edge
Step-by-step explanation:
The height of a triangle is 6 m more than its base. The area of the triangle is 56 m2. Find the length of the base. 7 m 8 m 14 m 15 m
Answers
height = x+6
[tex] \frac{x(x+6)}{2}=56 \\ x(x+6)=56*2 \\ x^2+6x=112 \\ x^2+6x-112=0 \\ x^2+14x-8x-112=0 \\ x(x+14)-8(x+14)=0 \\ (x-8)(x+14)=0 \\ x-8=0 \ \ \ \ \ \ \ or \ \ \ \ \ \ x+14=0\\x=8 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-14 \ \ \ \O[/tex]
base = 8 m
select the TWO binomials that are factors of this
Answers
since the last number -s -20 you need the 2 that when multiplied together would equal -20
so x-5 and x +4 are the correct answers
A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a row. Meghan says that the probability of the five tiles spelling FACED is 1/252 . Her work is shown below.
Answers
For the possible number of arrangement of letter, n(S), the basic principles of counting should be used.
= 10 x 9 x 8 x 7 x 6 = 30,240
This is similar as to what was done in Meghan's work.
For the five tiles to spell out FACED, there is only one (1) possibility.
Therefore, the probability should be equal to 1/30,240 instead of the 1/252 which was presented in the steps above.
You drive your car for three hours at an average speed of 130 kilometers per hour how far did you go
Answers
given that speed=130kmph and time=3h
d=130kmph times 3h
d=390km
you went 390 kilometers
Elisa needs to make a scale drawing of his school building for art class. If the building is 256.25 meters long, and Elisa scales it down using a ratio of 25 meters to 1 inch, how long will the building be in the sketch? (in inches)
Answers
We have to divide the length of a building to 25:
256.25 : 25 = 10.25
Answer: The building will be 10.25 inches long in the sketch.
Simplify the expression 32 • 5 − 6 ÷ 2.
18 19.5 36 42
Answers
Using PEMDAS (Parentheses, Exponents, Multiply/Divide, Addition/Subtraction) we first look to see if it has any parentheses or exponents, which it doesn't.
Our next step is to multiply and divide, so 32 x 5 = 160 and 6 / 2 = 3
Now we're left with 160 - 3 which equals 157
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
Answers
x^2 -4x + 5 = 0
The 'x' value of the axis of symmetry = 'x' value of the vertex.
To get this value, take the derivative of x^2 -4x + 5 = 0 which equals
2x -4 =0
x = 2 which equals the axis of symmetry
Step-by-step explanation:
Please find the attachment of graph representing the axis of symmetry.
We are asked to choose the graph from our given choices, which shows the axis of symmetry for the function:
[tex]f(x)=(x-2)^2+1[/tex]
We can see that our function represents a parabola.
Since we know that axis of symmetry is a vertical line that divides parabola into two congruent parts. The axis of symmetry intersects parabola at its vertex.
Let us find the vertex of our given parabola using formula: [tex]x=\frac{-b}{2a}[/tex], where,
a = Coefficient of [tex]x^{2}.[/tex]
b = Coefficient of x.
To apply this formula we will represent our parabola as a quadratic equation [tex](ax^2+bx+c)[/tex] as:
[tex]f(x)=x^2-4x+4+1[/tex]
[tex]f(x)=x^2-4x+5[/tex]
Upon substituting a= 1 and b= -4 in the formula we will get,
[tex]x=\frac{-(-4)}{2*1}[/tex]
[tex]x=\frac{4}{2}[/tex]
[tex]x=2[/tex]
Therefore, the vertical line passing through point x = 2 will be the axis of symmetry for our given function and graph B is the correct choice.
(05.03)
Karma baked 48 cookies yesterday. Every hour, she bakes another batch of 12 cookies.
What is the rate of change for the scenario described?
4
12
60
48
Answers
The vertex of the functions graph is given. Find c. y=2x^2-6x+c;(3/2, 0.5)
Answers
[tex]2(x- \frac{3}{2})^{2} = \frac{18}{4}-c [/tex]
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the [tex] \frac{18}{4}-c [/tex] equal to 1/2 and solve for c, which is the whole point of what we are doing, right?
[tex] \frac{18}{4}-c= \frac{1}{2} [/tex] and [tex] \frac{18}{4}- \frac{2}{4}=c [/tex]
[tex] \frac{16}{4}=c [/tex] and c = 4. So that's our answer!
The cost of a daily newspaper varies from city to city. however, the variation among prices remains steady with a standard deviation of 20?. a study was done to test the claim that the mean cost of a daily newspaper is $1.00. ten costs yield a mean cost of 96? with a standard deviation of 18?. do the data support the claim at the 1% level?
Answers
First, we establish our hypothesis:
Null hypothesis H0: μ = $1.00
Alternative hypothesis Ha: μ ≠ $1.00
Let’s say X = the sample average cost of a daily newspaper = 0.96
u = population mean cost = 1.00
S = sample standard deviation = 0.18
Calculating for z value:
z = (X – u) / S
z = (0.96 – 1) / 0.18
z = – 0.222
From the standard distribution table at this z value, p-value = 0.4129
Since alpha = 0.01, the decision therefore is:
Do not reject the null hypothesis because the p-value is greater than 0.01. There is enough evidence to support the claim that the mean cost of newspapers is $1.
Kristin opens a savings account with $3500. She deposits $2400 every year into the account that has a 0.65% interest rate, compounded quarterly. If she doesn't withdraw any money, what will the account balance be in 10 years?
1. $28551.51
2. $24776.39
3. $28511.25
4. $24816.65
I don't know what formula to use or how to solve.
Answers
The formula of a compound interest is
A=p (1+r/k)^kt
A future value?
P present value 3500
R interest rate 0.0065
K compounded quarterly 4
T time 10 years
Also the formula of the future value of an annuity ordinary is
Fv=pmt [(1+r/k)^(kt)-1)÷(r/k)]
Fv future value?
PMT since the payment per year is 2400 so you should find the payment per quarter which is 600 (2400÷4) because the interest is quarterly.
R interest rate 0.0065
K compounded quarterly 4
T time 10 years
The sum of those two formulas is the answer.
The balance is
3,500×(1+0.0065÷4)^(4×10)
+600×(((1+0.0065÷4)^(4
×10)−1)÷(0.0065÷4))
=28,511.25.....answer
Design an equation for the volume of a box made from a cardboard sheet of length q and width p and square cutouts of side length x.
Answers
From the cardboard sheet of length q and width p, we remove from the corners squares of side length x, then fold the cardboard to form a box.
the height of the box is x, the length is q-2x, since 2 x'es are subtracted from the length of the cardboard, similarly the width of the box is p-2x.
The volume of the box is height*length*width:
so the equation is
V=x(q-2x)(p-2x)
What is the arc length when 0=3pi over 5 and the radius is 7?
Answers
l=3π/5×7
l=22×3×7÷7÷5
l=66/5
l=13.2 units
The gross weight of a package in its contents is 11 lbs. 5 oz. if the packaging weighs 1 lb. 15 oz. what the net weight of the content
Answers
10 pounds 21 ounces then we subtract
1 pound 15 ounces giving us the net weight of
9 pounds 6 ounces.
Which table describes the behavior of the graph of f(x) = 2x³ - 26x - 24?
Answers
(-3,0),(-1,0) and (4,0)
therefore the interval will be:
(-∞,-3)-below, (-3,-1)-above,(-1,4)-below,(4,∞)-above
The answer is ]
Answer:
The answer is the table B
Step-by-step explanation:
we have
[tex]f(x)=2x^{3}-26x-24[/tex]
Using a graphing tool
see the attached figure to better understand the problem
Relation of graph to the x-axis
Interval (-∞,-3) -----> below (the function is negative)
Interval (-3,-1) -----> above (the function is positive)
Interval (-1,4) -----> below (the function is negative)
Interval (4,∞) ----->above (the function is positive)
What methods can be used to rewrite square trinomials and difference of squares binomials as separate factors?
Answers
Difference of squares is simply written in the form of (a² - b²) and to find its roots, you simply simplify the previous expression to be (a+b)(a-b) where a and b are the roots
i.e. (a² - b²) = (a+b)(a-b)
2- As per square trinomials:
Let's assume that the square trinomial is written in the form of (ax² + bx +c) where a,b and c are constants.
Now the basic formula to get the two roots of this expression is given as shown in the below picture.
This formula is valid for almost all expressions, nevertheless, there is a special case (perfect square) in which we do not have to use to use this formula.
Perfect Square:
Let's assume that we have an expression written in the form of (ax² + cx +b) where a,b and c are constants. If you find that the value of a is the square of a first binomial, b is the square of a second binomial and c is the twice the value of multiplying a and b (i.e. c=2ab), then this expression is said to be a perfect square and can simply be simplified as (a+b)²
Note: If the expression of the perfect square was (ax² - cx +b), then the simplification would be (a-b)²
Factoring Polynomials with Four Terms, and Factoring Trinomials by Grouping can be used to rewrite square trinomials and difference of squares binomials as separate factors
Multiply 8 times the square root of 3 by 9 times the square root of 27.
Answers
8 · 9 ·√3 · √27
72 · √81
72 · 9
648
The answer is 648. :)
8 times the square root of 3 multiplied by 9 times the square root of 27 is equal to 1944.
To multiply 8 times the square root of 3 by 9 times the square root of 27, we can simplify the expression using the properties of square roots and perform the multiplication.
First, let's simplify the square roots:
Square root of 3 can be written as √3.
Square root of 27 can be written as √(9 * 3), which further simplifies to √9 * √3 = 3 * √3.
Now, we have:
8 * √3 * 9 * √27 = 8 * √3 * 9 * (3 * √3) = 8 * 9 * 3 * √3 * √3 = 216 * 3 * √3 * √3.
Since the square root of 3 multiplied by itself (√3 * √3) simplifies to 3, we have:
216 * 3 * 3 = 1944.
Therefore, 8 times the square root of 3 multiplied by 9 times the square root of 27 is equal to 1944.
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Find the area ratio of a cube with volume 125 m to a cube with volume 64 m.
Answers
*Keep in mind that the faces of a cube are squares.
Surface Area of a cube = Area of a side * 6
Area = length * width
Area of a square = length * length
We don't know the length/width of the cube, so we need to solve for it using the values for the volumes of the two cubes.
[tex]Volume = length * width* height\\Volume of a cube = length * length * length\\\\125\ m^{3}=length^{3}\\\\\sqrt[3]{125\ m^{3}}=\sqrt[3]{length^{3}}\\\\5\ m=length\\\\\\64\ m^{3}=length^{3}\\\\\sqrt[3]{64\ m^{3}}=\sqrt[3]{length^{3}}\\\\4\ m=length[/tex]
Now find the area of the sides:
[tex] Area = length *length\\\\Area\ of\ cube\ 1=5\ m*5\ m=25\ m^{2}\\\\Surface\ Area\ of\ cube\ 1=side\ area*6\\\\SA_{cube\ 1}=25\ m^{2}*6=150\ m^{2}\\\\\\Area\ of\ cube\ 2=4\ m*4\ m=16\ m^{2}\\\\Surface\ Area\ of\ cube\ 2=side\ area*6\\\\SA_{cube\ 2}=16\ m^{2}*6=96\ m^{2}[/tex]
Now find the ratio between the Surface areas:
[tex]150\ m^{2}:96\ m^{2}\\\\150\6:96\6\\\\25:16=\frac{25}{16}=1\ \frac{9}{16}=1.5625[/tex]
Thus the answer is 25/16 = 1.5625
The required ratio of area of cubes is 25 : 16.
Volume of cube 1 = 125
Volume of cube 2 = 64
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Volume of cube 1 = 125
a³ = 125
a = 5
Volume of cube 2 = 64
A³ = 64
A = 4
Area of cube 1 = a² x 6
= 5² x 6
= 150
Area of cube 2 = A² x 6
= 4² x 6
= 96
Now ,
The ratio of areas of cube 1 to cube 2 = 150:96.
= 25:16
Thus, the required ratio of area of cubes is 25 : 16.
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