Answer:
2:3
Step-by-step explanation:
the distance from A to B is 4. the distance from B to D is 6.
ratio is 4:6 which can be simplified to 2:3
Luna has 8 pints of juice. Michael has 2% times as many
pints of juice as Luna. A) How many pints of juice does Michael have?b) How many more pints of juice does Michael have than
Luna?Give your answers as whole numbers or as fractions in their simplest form
The 8 pints of juice Luna has and the amount Michael has which is a multiple of the mixed fraction 2 3/4 and the amount Luna has indicates;
A) The amount of juice Michael has is 22 pint of juice
B) Michael has 14 more pint of juice than Luna
What is s fraction?A fraction is a number that represents a part of an amount, and which can be represented by the quantity of the part over the quantity of the whole, with a division line in between the quantities.
Part of the question, obtained from a similar question on the internet includes;
Michael has 2 3/4 has many pints of Juice as Luna
A) The amount of juice Michael has obtained from the multiple of the amount of juice Luna has, which is 2 3/4 is therefore;
Michael has 2 3/4 × 8 pints of juice = 8 × 11/4 pint = 22 pint of juice
B) The amount of juice Michael has than Luna, ΔV is therefore;
ΔV = 22 pint - 8 pint = 14 pint
Michael has 14 more pint of juice than Luna
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Name the quadrilateral ?
Answer:
Rectancle
Step-by-step explanation:
Has four sides and four edges
Answer:
A rectangle
Step-by-step explanation:
A rectangle has 4 sides, in which the opposite angles are equal.
In here, AD = BC & AB = CD
Hope u understood
Please mark as brainliest
Thank You
You invested 17,000 into accounts paying 2%and 8% annual interest respectfully if the total interest earned for the year was 1,060 how much was was invested at each rate2%8%
Let's define the following variables.
x = the amount invested at 2%
y = the amount invested at 8%
0.02x = interest at 2% account
0.08y = interest at 8% account
If the total investment in both accounts is 17, 000 then, we can say that:
\(x+y=17,000\)If the total interest earning in both accounts is 1,060 then, we can say that:
\(0.02x+0.08y=1,060\)Now that we were able to form a system of equation, we can solve for the values of x and y using substitution method. Here are the steps.
1. Equation Equation 1 into y = .
\(\begin{gathered} x+y=17,000 \\ y=17,000-x \end{gathered}\)2. Replace the value of y in equation 2 using equation 1.
\(\begin{gathered} 0.02x+0.08y=1,060 \\ 0.02x+0.08(17,000-x)=1,060 \end{gathered}\)3. Solve for x.
\(\begin{gathered} \text{Distribute 0.08.} \\ 0.02x+1,360-0.08x=1,060 \\ Subtract\text{ 0.02x and 0.08x.} \\ -0.06x+1,360=1,060 \\ \text{Subtract 1,360 on both sides of the equation.} \\ -0.06x=-300 \\ \text{Divide both sides by -0.06.} \\ x=5,000 \end{gathered}\)The value of x is 5,000. Hence, the amount invested at 2% is 5,000.
4. Solve for y using equation 1 and the calculated value of x.
\(\begin{gathered} y=17,000-x \\ y=17,000-5,000 \\ y=12,000 \end{gathered}\)The value of y is 12,000. Hence, the amount invested at 8% is 12, 000.
what is the answer to 3s=45?
which doesnt belong and why
Answer:
C
Step-by-step explanation:
They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD
Find tan(theta),sec(theta) , and sin(theta), where theta is the angle shown in the figure.
Give exact values, not decimal approximations.
The trigonometric ratios of the right triangle can be represented as follows:
tan ∅ = 4 / 5
sec ∅ = √41 / 5
sin ∅ = 4 / √41
How to find the angles of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The angle of a right angle triangle can be found using trigonometric ratios as follows:
Using trigonometric ratios,
tan ∅ = opposite / adjacent
tan ∅ = 4 / 5
Let's find the hypotenuse side of the right triangle using Pythagoras's theorem.
4²+ 5² = c²
c = √25 + 16
c = √41
Therefore,
sin ∅ = opposite / hypotenuse
sin ∅ = 4 / √41
sec ∅ = 1 / cos ∅ = hypotenuse / adjacent
sec ∅ = √41 / 5
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The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base? 15x + + 15x + + 15 + + 15 + +
Answer:
\(Base (B) = /frac{15x² + 1 + 2}{x}\)
Step-by-step Explanation:
==>Given:
Dimensions of a rectangular prism are expressed as follow:
Volume (V) = 15x² + x + 2
Height (h) = x²
==>Required:
Expression of the Base area (B)
==>Solution:
Volume (V) = Base (B) × Height (h)
15x² + x + 2 = B × x²
Divide both sides by x²
\(\frac{15x² + x + 2}{x²} = B
\(Base (B) = /frac{15x² + 1 + 2}{x}\)
Answer: c
Step-by-step explanation:
i dont kown
pllease help
Answer:
Step-by-step explanation:
Half a turn is 180
so 180-33 is your
If the correlation between two variables was equal to 0, the scatterplot between these two variables would be represented as
If the correlation between two variables was equal to 0, the scatterplot between these two variables would be represented as a graphical representation of the relationship between two variables
If the correlation between two variables is equal to 0, it means that there is no linear relationship between the two variables. In other words, as one variable changes, the other variable does not systematically change in any particular direction.
In a scatterplot, which is a graphical representation of the relationship between two variables, this would be represented by a random scattering of data points with no discernible pattern or trend. The points would be evenly distributed throughout the plot, without any apparent clustering in one direction or another.
Additionally, the line of best fit, which is used to describe the overall trend of the data, would be a horizontal line with a slope of zero, indicating that there is no relationship between the two variables.
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The HCF of 2 numbers is 18 and and their product is 1620. Find the LCM of the numbers.
Answer:
HCF*LCM = Product of two no's18*LCM = 1620LCM = 90
please answer these !!! hurry please
Answer:
D, A
Step-by-step explanation:
9. Slope = 2-8/1-(-2)=-6/3=-2 = D
10. Line going left to right so it must be negative and it is going down by 3 every time so it is -3 = A
25 points. Get it before the mod sees it!
gogogogo lol
Answer:
yy
Step-by-step explanation:
bi
The t distribution should be used whenever _____. Group of answer choices the sample size is less than 30 the population is not normally distributed the sample standard deviation is used to estimate the population standard deviation None of the answers is correct.
Answer:
A: the sample size is less than 30
Step-by-step explanation:
Usually, the t-distribution is used instead of normal distribution in calculation of the mean of a normally distributed population when the sample size is small (n < 30) and if the population standard deviation is not known.
Thus, looking at the options, the correct one is Option A.
The diagram shows three squares that are joined out of her to see to form a right triangle which statement is true
what? i'm gonna need more info to answer this.
What is the area of the trapezoid shown? Express your answer in simplest exact form. [asy] unitsize(1.5cm); pair a=(0,0); pair b=(1,sqrt(3)); pair c=(3,sqrt(3)); pair d=(4,0); draw(a--b--c--d--a); label("2",(a+b)/2,NW); label("2",(b+c)/2,N); label("2",(c+d)/2,NE); label("~$60^\circ$",a,NE); label("$60^\circ$~",d,NW); [/asy]
The area of the trapezium shown is 284.31 in²
What is an equation?An equation is an expression that shows the relationship between variables and numbers.
The area is calculated for a two dimensional shape. It shows the amount of space occupied for that shape.
The area of a trapezium is given by:
Area = (1/2)(sum of parallel sides) * height
For the trapezium shown, the parallel sides have a measure of 17 inches and 31 inches respectively. The height is 11.7 inches, hence:
Area = (1/2)(17 + 31.6)(11.7) = 284.31 in²
The area is 284.31 in²
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When you add -17 to me the result is -22 what intger am I
Answer:
-5
Step-by-step explanation:
Complete the statement below using the inequality symbols >, <, or =.
a. In △HEY, m∠1 is _____ m∠4.
b. In △HEY, m∠1 is _____ m∠4 + m∠6.
c. In △HEY, m∠3 is _____ m∠5.
d. In △HEY, m∠2 is _____ m∠6.
e. In △HEY, m∠4 is _____ m∠3.
The statement with the inequalities are:
a. In △HEY, m∠1 is > m∠4.
b. In △HEY, m∠1 is = m∠4 + m∠6.
c. In △HEY, m∠3 is > m∠5.
d. In △HEY, m∠2 is > m∠6.
e. In △HEY, m∠4 is < m∠3.
We have,
From the figure,
m∠1, m∠3 and m∠2 are exterior angles.
So,
m∠1 = m∠4 + m∠6
m∠3 = m∠5 + m∠4
m∠2 = m∠5 + m∠6
Now,
a.
In △HEY,
m∠1 is > m∠4.
b.
In △HEY,
m∠1 is = m∠4 + m∠6.
c.
In △HEY,
m∠3 is > m∠5.
d.
In △HEY,
m∠2 is > m∠6.
e.
In △HEY,
m∠3 = m∠5 + m∠4
m∠4 = m∠3 - m∠5
The angles can not be negative.
So,
m∠4 is < m∠3.
Thus,
a. In △HEY, m∠1 is > m∠4.
b. In △HEY, m∠1 is = m∠4 + m∠6.
c. In △HEY, m∠3 is > m∠5.
d. In △HEY, m∠2 is > m∠6.
e. In △HEY, m∠4 is < m∠3.
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Classify each number as rational or irrational.
Answer:
π - irrational
0.04053.. - irrational
0.76 - rational
3.565565565 - irrational
-17 - rational
3.275 - rational
Step-by-step explanation:
rational = can express as fraction
irrational = cannot
i need it asapp plss
Answer:
#1 is A #2 is C #3 is D #4 is D #5 is D #6 is A
Step-by-step explanation:
I might be wrong for number 5 or the others but hope this works for you.
:)
A curve y=f(x) defined for values of x>0 goes through the point (1,0) and is such that the slope of its tangent line at (x,f(x)) is 4/x^2?7/x^6, for x>0.
The slope of the tangent line at (x,f(x)) is given by the derivative f'(x). Thus, we have: The function f(x) is:
f(x) = -4/x - (7/5)/x^5 + 27/5
f'(x) = 4/x^2 - 7/x^6
To find the function f(x), we need to integrate f'(x) with respect to x. We have:
∫ f'(x) dx = ∫ (4/x^2 - 7/x^6) dx
Integrating each term separately, we get:
f(x) = -4/x - 7/(5x^5) + C
where C is the constant of integration. We can find the value of C by using the fact that the curve passes through the point (1,0):
0 = -4/1 - 7/(5*1^5) + C
C = 4/5
Therefore, the function f(x) is:
f(x) = -4/x - 7/(5x^5) + 4/5
Note that this function is defined for x > 0, as specified in the problem statement.
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The sum of the digits of a two-digit number is seventeen. The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. What is the original number?
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
Given that the sum of the digits is seventeen, we have the equation:
x + y = 17 (equation 1)
The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.
According to the given information, we have the equation:
10y + x = 5x + 30 (equation 2)
To solve the system of equations, we can substitute equation 1 into equation 2:
10(17 - x) + x = 5x + 30
Expanding and simplifying:
170 - 10x + x = 5x + 30
170 - 30 = 5x + 10x - x
140 = 14x
x = 10
Substituting the value of x back into equation 1:
10 + y = 17
y = 7
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
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Given parallelogram A B C D below, DE = 31 If EB = x-7, solve for x.
The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.
Given parallelogram A B C D below, DE = 31 If EB = x - 7.
By the definition, then the equation is given as,
EB = DE
x - 7 = 31
Simplify the equation, then we have
x - 7 = 31
x = 31 + 7
x = 38
The value of the variable 'x' is 38.
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We'll now obtain an estimate of the area of this region with a Riemann Sum, i.e. a collection of rectangles whose combined area approximates the area under the region. On your graph, slice the area up into 4 pieces by drawing 3 evenly spaced vertical lines from the x-axis up to the curve. Then using the left side of each slice as the height, sketch in 4 rectangles on your graph; these four rectangles should overlay the region under 1/x between 1 and 2. What are the x-coordinates of the left edges of the rectangles
The x-coordinates of the left edges of the rectangles are 1,5/4,6/4,7/4.
The area of this region with a Riemann Sum is 0.7595.
What does Riemann sum mean?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
Given function is f(x) = 1/x on the interval [1,2] is shown.
The four rectangles of width 1/4 are present.
From the figure we can see that the x coordinate of the left edges of the rectangle are:
1,5/4,6/4,7/4
Now we plug these values in the function to find the height of rectangles.
For x=1 ,f(x) = 1
For x=5/4 ,f(x) = 4/5
For x=6/4 ,f(x) = 4/6
For x=7/4 ,f(x) = 4/7
Now, Area = length*width, and width of each rectangle is 1/4
Area of rectangle 1 = 1*1/4 = 1/4
Area of rectangle 2 = 4/5*1/4 = 1/5
Area of rectangle 3 = 4/6*1/4 = 1/6
Area of rectangle 4 = 4/7*1/4 = 1/7
Total Area is = 1/4+1/5+1/6+1/7 = 0.7595
This is an overestimation of ln(2).
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Which point is part of the solution of the inequality y ≤ |x +4|-3?
(-2,1)
(0,0)
(1,3)
(-4,2)
Answer:
\((0,0)\)
Step-by-step explanation:
When substituting the values of \(x\) and \(y\) into the inequality, the only option that results in a true statement is \((0,0)\).
If the volume of the crystal ball is about 113.14 cm3, the radius of the ball is approximately cm. (Use .) If the vacant space inside the box were filled with spray foam, the approximate volume of foam required would be cm3.
To find the radius of the crystal ball, we can use the formula for the volume of a sphere: V = (4/3) * π * r^3, where V is the volume and r is the radius.
Given that the volume of the crystal ball is 113.14 cm³, we can solve for r:
113.14 = (4/3) * π * r^3
To find the radius, we can rearrange the equation:
r^3 = (3/4) * (113.14 / π)
r = (3/4) * (113.14 / π)^(1/3)
Using a calculator, we can evaluate the expression to find the approximate value of the radius.
To find the volume of foam required to fill the vacant space inside the box, we need the volume of the box. However, the dimensions of the box are not provided in the question, so we cannot calculate the volume of foam accurately.
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A new car is purchased for $19,000 and over time its value depreciates by
one half every 5 years. How long, to the nearest tenth of a year, would it take
for the value of the car to be $7,000?
i
so, the car depreciates by half every 5 years, or namely it depreciates by 50% every 5 years, so
\(\textit{Periodic/Cyclical Exponential Decay} \\\\ A=P(1 - r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\dotfill &\$7000\\ P=\textit{initial amount}\dotfill &\$19000\\ r=rate\to 50\%\to \frac{50}{100}\dotfill &0.5\\ t=\textit{elapsed time}\\ c=period\dotfill &5 \end{cases}\)
\(7000=19000(1-0.5)^{\frac{t}{5}}\implies \cfrac{7000}{19000}=0.5^{\frac{t}{5}}\implies \cfrac{7}{19}=0.5^{\frac{t}{5}} \\\\\\ \log\left( \cfrac{7}{19} \right)=\log\left( 0.5^{\frac{t}{5}} \right)\implies \log\left( \cfrac{7}{19} \right)=t\log\left( 0.5^{\frac{1}{5}} \right) \\\\\\ \log\left( \cfrac{7}{19} \right)=t\log( \sqrt[5]{0.5})\implies \cfrac{\log\left( \frac{7}{19} \right)}{\log( \sqrt[5]{0.5})}=t\implies 7.2\approx t\)
Math please help, it is Aleks
Answer:
I can't see properly try a better view of it
express the following ratio in the simplest form 7.2m to 24cm
Answer:
Our simplified ratio is 3:10.
Step-by-step explanation:
We are given this ratio:
7.2:24We can tell that 7.2:24 = 7.2/24. Now, let's simplify.
=> 7.2/24 = 6/20=> 6/20 = 3/10Our simplified fraction is 3/10. Now, let's turn it back to ratio form.
=> 3/10 = 3:10Conclusion:
Therefore, our simplified ratio is 3:10.
Hoped this helped.
\(BrainiacUser1357\)
Help me with this pls Before 6 pm pst if you can or I will be sad
Answer:
its called um srry dont know
Step-by-step explanation:
Answer:
Step-by-step explanation:
a−6
−
3
a+6
−
a2
36−a2
=
−2a4−3a3+54a2+108a+648
−a4+72a2−1296
=
(−a−6)(a−6)(2a2+3a+18)
(−a−6)(a−6)(a+6)(a−6)
=
2a2+3a+18
a2−36
Line K has the equation y=5x-4.
Line L is parallel to line K, but passes through the point (-2,-7).
The equation for L in slope-intercept form is: ______
Explanation:
Parallel lines always have equal slopes, but different y intercepts.
Line K has a slope of 5, which means line L also has this slope too. Refer to the y = mx+b form.
Plug in the coordinates of (-2,-7) as well as the slope mentioned and solve for b.
y = mx+b
-7 = 5(-2) + b
-7 = -10+b
-7+10 = b
3 = b
b = 3
The y = mx+b updates to the final answer of y = 5x+3