Answer:
can you please show more info?
Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25
Answer:
4x^2 -25
Step-by-step explanation:
The other factor of the difference of squares is the "conjugate" of the given one: (2x -5). Then their product is ...
(2x +5)(2x -5) = (2x)^2 -(5)^2 = 4x^2 -25
Answer:
The Answer On Edge Is D.), Have Fun Dreamers!
Step-by-step explanation:
Guys anyone please help . Please explain how to solve these questions it gives the answers but I need expiation (Calculus) ,I’ll give brainliest for the correct answer ! Pleasseee
9514 1404 393
Answer:
(ii) center: (-3, 6)
(iii) A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)
(iv) (x +3)²/100 +(y -6)²/51 = 1
Step-by-step explanation:
(ii) The center is the midpoint between the foci:
center = ((-10, 6) +(4, 6))/2 = (-10+4, 6+6)/2
center = (-3, 6)
__
(iii) The vertices are the center plus or minus the semi-major axis length in the x-direction: (-3±10, 6).
The semi-minor axis length is the root of the difference of squares of the semi-major axis and the center-focus distance:
semi-minor axis = √(10² -7²)
semi-minor axis = √51
So, the co-vertices are the center plus or minus this value in the y-direction: (-3, 6±√51)
Using the labeling in the drawing the various points are ...
A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)
__
(iv) For center (h, k) and semi-axis lengths 'a' and 'b' the equation of an ellipse is ...
(x -h)²/a² +(y -k)²/b² = 1
For the center and axes here, the equation is ...
(x +3)²/100 +(y -6)²/51 = 1
A student found the product of 7 x 10^3 and 5 * 10^8 to be 3.5 * 10^11 What is the error? What is the correctproduct? Complete the explanation
The student is off by a power of ten. The correct product is 35 x 10^11 or 3.5 x 10^12
Rewrite this exponential equation as a logarithmic equation. 4e^x=16
Answer:
The rewritten equation is: \(x = \ln{4}\)
Step-by-step explanation:
The inverse operation of the exponential is the natural logarithm, \(\ln\), and the following property is used to solve this question:
\(\ln{e^x} = x\)
In this question, we have that:
\(4e^x = 16\)
\(e^x = \frac{16}{4}\)
\(e^x = 4\)
Applying the natural logarithm to both sides:
\(\ln{e^x} = \ln{4}\)
\(x = \ln{4}\)
The rewritten equation is: \(x = \ln{4}\)
The equivalent logarithmic equation is: \(x = \log(4)\)
The exponential equation is given as:
\(4e^x=16\)
Divide both sides of the equation by 4
\(e^x=4\)
Next, take the logarithm of both sides (to convert the expression to a logarithmic expression)
\(\log(e^x)=\log(4)\)
The logarithm of e^x is x.
So, we have:
\(x = \log(4)\)
Hence, the equivalent logarithmic equation is: \(x = \log(4)\)
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One angle of an isosceles triangle measures 42°. what measures are possible for the other two angles? choose all that apply.
The measure of second angle and third angle of the isosceles triangle will be equal to 69° each.
What is an isosceles triangle ?
An isosceles triangle is a triangle which has two equal sides and two equal angles.
It is given that the first angle of an isosceles triangle is 42°. In a triangle sum of all angles is equal to 180°.
We know that in an isosceles triangle the measure of two angles and two sides are equal.
The measure of first angle is 42°. Let's assume the measure of second angle is x this meant the measure of third angle will be x too.
∵ Sum of three angles of a triangle = 180°
∴ 42 ° + ( x + x ) = 180°
or
42 ° + ( 2x ) = 180°
2x = 180° - 42°
2x = 138°
or
x = 69°
As measure of both unknown angles is same , so second angle and third angle will have a measure of 69° each.
Therefore , the measure of second angle and third angle of the isosceles triangle will be equal to 69° each.
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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
m = 2 b = 10
y = 2x + 10
Positive Slope
Step-by-step explanation:
Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on the
diagram.
Give your answer correct to 1 decimal place
The radius of the circle, marked p on the diagram, is approximately 5.8 cm.
What is radius?Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.
The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.
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Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
9. A vendor is going to pack okra in bundles. What is the least number of okra that could be sold
in bundles of 3 and 5?
A. 10 bundles
B. 12 bundles C. 15 bundles D. 18 bundles
Answer:
C. 15 bundles
Step-by-step explanation:
In this scenario, the okra seller intends selling his products in bundles of 3 and 5. This simply means that each bundle would either contain 3 okra or 5 okra.
Hence, to find the least number of okra that could be sold in these bundles, we would find the lowest common multiple (LCM) of 3 and 5.
LCM = 3 * 5
LCM = 15
Therefore, 15 is least number that okra can be packed in bundles of 3 and 5 because it's the lowest number that could be divided by both numbers at a time.
Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
Answer:
25000
Step-by-step explanation:
If a right triangle has sides of length 3 and 6, what is the length of the hypotenuse?
Answer:
Length of the hypotenuse = 3√5 units
Step-by-step explanation:
Given:
Right triangle sides
a = 3
b = 6
Find:
Length of the hypotenuse
Computation:
Length of the hypotenuse = √a² + b²
Length of the hypotenuse = √3² + 6²
Length of the hypotenuse = √9 + 36
Length of the hypotenuse = √45
Length of the hypotenuse = 3√5 units
By what number should (-24)-¹ be divided so that the quotient may be equal to 3-¹ ?
Step-by-step explanation:
hi do u wanna talk ????????????????
do u have bffffffffffffff‽??????‽??????‽??????
Answer:
It should be divide by (-8)^(-1)
Step-by-step explanation:
Let the number be 'x'
\(\dfrac{(-24)^{-1}}{x}=3^{-1}\\\\(-24)^{-1}=3^{-1}*x\\\\\\ \dfrac{(-24)^{-1}}{3^{-1}}=x\\\\ (\dfrac{-24}{3})^{-1}=x\\\\x = (-8)^{-1}=\)
The graph of a secant function shows no functional values on (−12, 12). The asymptotes of the function occur every π units.
Which function represents the secant function described?
f(x)=sec(x)+12
f(x)=12sec(x2)
f(x)=sec(x2)+12
f(x)=12sec(x)
Answer:
f(x)=12sec (x)
Step-by-step explanation:
I just took the test and got the correct answer :)
The function that represents the secant function described is:
f(x) = 12sec(x)
The reason is as follows:
1. The secant function is defined as sec(x) = 1/cos(x).
2. The graph of the secant function has vertical asymptotes at odd multiples of π (π, 3π, 5π, etc.) where the cosine function equals zero.
3. The given function f(x) = 12sec(x) represents a vertical scaling of the secant function by a factor of 12, but it keeps the same periodic behavior and vertical asymptotes at odd multiples of π.
The other options do not represent the described properties of the secant function on the given interval and asymptotes every π units. Therefore, the correct answer is:
f(x) = 12sec(x)
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Find the average of the following set offractions (do not use decimals).{ 42, 1/8, 44, 5/8, 3/4 }
SOLUTION
The average of the 5 numbers become
\(\begin{gathered} \text{Average =}(\frac{42}{1}+\frac{1}{8}+\frac{44}{1}+\frac{5}{8}+\frac{3}{4})\text{ divided by 5} \\ \\ \text{Average = }\frac{336+1+352+5+6}{8}\text{ divided by 5} \\ \\ \text{Average = }\frac{700}{8}\text{ divided by 5} \\ \\ \text{Average =}\frac{700}{8}\times\frac{1}{5} \\ \frac{700}{40} \\ \\ \frac{70}{4} \\ \\ \frac{35}{2} \\ \\ \text{Average = 17}\frac{1}{2} \end{gathered}\) ARCHITECTURE An architect models the floor,
walls, and ceiling of a building with planes. To locate
one of the planes that will represent a wall, the
architect starts by marking off two points in the plane
that represents the floor. What further information can
the architect give to specify the plane that will
represent the wall?
Walls are always perpendicular to the floor, so that the further information required are:
The walls are perpendicular to the floor at the marked points, thus on the vertical planeThe heights of the walls should be marked on the vertical plane representing the wallsA plane is a flat surface which can be in a position with respect to either x - axis, y - axis or z - axis.
Generally in buildings, floors are usually along the horizontal plane that is parallel to the surface of the ground. And walls are along the vertical plane perpendicular to floors .
So that in the given question, the floor is on the horizontal plane, and the walls would be vertical to the floor at the marked points. Further information to specify the plane that will represent the walls are:
The walls are perpendicular to the floor at the marked points, thus on the vertical planeThe heights of the walls should be marked on the vertical plane representing the wallsVisit: https://brainly.com/question/17354257
Which statements are true regarding the expression below? Choose three answers. 8 ^-1. 8 ^-3. 8
The statements that are true regarding the expression with the exponents -1, -3, and 1 are;
An equivalent expression is 8⁷·8⁻¹⁰The sum of the exponent is -3The value of the expression is 1/512What is an exponent?An exponent is a quantity or power to which a value, expression or number is to be raised.
The specified expression can be presented as follows;
8⁻¹ × 8⁻³ × 8
Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³
The sum of the exponent is; -1 + (-3) + 1 = -31/8³ = 1/512
Therefore, the value of the expression is; 1/512Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³
Therefore, 8⁷ × 8⁻¹⁰ and 8⁻¹ × 8⁻³ × 8 are equivalent expressionsLearn more on exponents here: https://brainly.com/question/29831670
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Simplify (-3/5) divided by (7/6)
-18/35 is the answer to (-3/5) divided by (7/6)
Kristen has
yards of ribbon. She wants to cut it into equal parts to make hair ribbons for her daughter's 9 dolls. How long, in yards, will each doll's hair ribbon be?
Answer:
1 tenth a yard to have 1 tenyard left
Step-by-step explanation:
Add quotation marks to the
sentence.
Take out your pencil, said
the teacher.
Step-by-step explanation:
Use the graph to answer the question.
Determine the translation used to create the image.
A. 7 units to the right
B. 7 units to the left
C. 3 units to the right
D. 3 units to the left
The correct option is A, we have a translation of 7 units to the right.-
How to determine the translation?To find it, we need to analyze two correspondent vertices.
We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)
Taking the difference between that, we will get:
A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)
The first value gives the horizontal translation and the second the vertical one
So,we have a translation of 7 units to the right, the correct option is A.
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At the office supply store, a ream of paper costs $5.89 and a cartridge of ink costs $38.40. Delilah needs to buy 8 reams of paper and 6 cartridges of ink for her office. She needs to know how much money to bring, so estimate the cost of these supplies.
Answer:
Step-by-step explanation:
Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12
Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4
We then add $230.4 and $47.12
$230.4 + $47.12 = $277.52.
Delilah needs to bring $277.52 to cover the cost of her supplies.
Which of the following equations is 2x + 3y = 6 written in slope-intercept form.
oy--(2/3)x + 6
y=-2/3)x+ 2
y=-(3/2)x+ 2
Answer: \(y=\frac{-2}{3}x+2\)
Step-by-step explanation:
In slope-intercept form y is isolated
So Let's solve for y.
\(2x+3y=6\)
Step 1: Add -2x to both sides.
\(2x+3y+-2x=6+-2x\\3y=-2x+6\)
Step 2: Divide both sides by 3.
\(\frac{3y}{3} =\frac{-2x+6}{3} \\y=\frac{-2}{3}x+2\)
Find the total area of the shaded region. Ay 1.5- 14 x=5y3 (5,1) * = 5y? 0.5- х 07 0 2.5 5 7.5 Find the area of the region enclosed by the curves x= x = 7y?, x=0, and y=1. The area of the region enclosed by the curves is (Type a simplified fraction.)
The total area of the shaded region for the region x = 5y³ , x = 5y² in the interval ( 5, 1 ) is equal to ( 5 / 12 ).
From the attached graph :
The area of the shaded region :
x = 5y³ , x = 5y² for the interval ( 5, 1 ) is equal to :
= \(\int\limits^1_0 {( 5y^{2 } - 5y^{3 }}) \, dy\)
= [ ( 5y³/3 ) - ( 5y⁴ / 4 ) ]\(| \limits^1_0\)
Substitute the lower limit and upper limit we get,
= (5 /3 )( 1 )³ - 0 - ( 5 / 4 )( 1⁴) + 0
= ( 5 / 3 ) - ( 5 / 4 )
= ( 20 - 15 ) / 12
= 5 / 12
Therefore, the total area of the shaded region in the given graph for the lower and upper limit is equal to ( 5 / 12 ) .
The given question is incomplete, I answer the question in general according to my knowledge:
Find the total area of the shaded region x = 5y³ , x = 5y² for the interval
( 5, 1 ).
Graph is attached.
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22) Original price of shorts: $19.9 Tax: 2%
Answer:
$20.298, round to $20.30
Step-by-step explanation:
The orginal price of the shorts are $19.90, and the tax is 0.02 (2%), so you multiple 19.90*0.02, which is $0.398, and then you add it to $19.90 to get $20.298.
Answer:
$0.39 cents
Step-by-step explanation:
2% of 19.9 is 0.398 but we will just say 39 cents :)
A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following exponential function, where is the number of minutes since the can was placed in the cooler.
T(x)=-22+44e^-0.03x
Find the initial temperature of the soda and its temperature after 18 minutes.
Answer:
Ans: -21.87 ≅ -22°C
Step-by-step explanation:
T(x)=-22+44e^-0.03x
Initial temperature (x = 0):
T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C
After 18 minutes (x = 18):
T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C
Solve #19 and show explanation
The next equation will be 6²-4²=2×10.
Here, we have given three equations and we have to find out the next equation.
The first three equations are like this
1. 3²-1²=2×4
2. 4²-2²=2×6
3. 5²-3²=2×8
Now,
As from the equation
On the L.H.S. we can see that every time it is creating a sequence
Like, every time it is subtracting square value of the one’s from the another number’s square
Which is the value we got from adding 2 in first value.
And on the R.H.S.
We can say that every time 2 multiplies with the next even number than the previous one
So,
The last equation was 5²-3²=2×8
Therefore,
The next equation will be
6²-4²=2×10
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What is the name of the shape that
has one more side than the
shape below?
A. Pentagon
B. Trapezoid
C. Rectangle
D. Hexagon
Answer:
a. hexagon
b. pentagon
c. also pentagon
d. heptagon
Step-by-step explanation:
There is no shape to compare to as your question indicates. I can help with this.
These shapes have the following sides.
A. Pentagon = 5 sides
add 1 side = hexagon
B. Trapezoid = 4 sides
add 1 side = pentagon
C. Rectangle = 4 sides
add 1 side = pentagon
D. Hexagon = 6 sides
add 1 side = heptagon
si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas
The area of the square is given as 100 square unit
How to determine the area of square?You should be aware that the square has all its sides equal
The perpendicular from opposite vertices represent distance
The given vertices are
(2,2) and (10,8)
Using the formula for distance between two points
d=√(10-2)²+(8-2)²
d=√8²+6²
d = √64+36
d=√100
This implies that d=10
The area of a square is given as s²
Area = 10²
Atrea = 100 square units
In conclusion, the area of the square is 100 square units
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Translated question:
The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square
CAN SOMEONE PLEASE HELP ME WITH THIS!
Answer: Ummm- the picture is all blank
The angles are equivalent to each other.
Do the rest yourself referencing to what I did ^-^