Answer:
5m + 5
Step-by-step explanation:
Combine like terms (terms with like & the same amount of the variable).
Set the equation:
(8m - 3m) + (9 - 4)
Simplify by combining like terms:
(8m - 3m) = 5m
(9 - 4) = 5
5m + 5 is your answer.
~
Answer:
5m+5
Step-by-step explanation:
Which equation is correct?
a) cos G = 15/17
b) cos G = 8/15
c) sin G = 15/17
d) sin G = 8/15
Graph y = 2x and y= 2x
What x-values are solutions to the system?
Answer:
Wait u gave the same equation twice, do u mind checking back to it?
Step-by-step explanation:
TRANSFORMATIONS PLS IN NEED OF SERIOUS HELP TO ANYWHO WHO KNOWS HOW TO DO THIS !!
The vertices of a trapezoid are shown below.
(0,6), (6,12), (6,9), (0,12)
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
A . (2,8) B. (3,3) C. (3,6) D. (12,24)
Answer: C
Step-by-step explanation:
i need help on all these, plss !! it's due today
i'll mark your answer as brainlist !!
Answer:
a-75
b-75
c-the mean describes the average, rather than the middle
8- 7+13+6+14+5+15=60
60/amount of numbers added
60/6
10
Step-by-step explanation:
when finding averages, you just add the numbers up then divide by the amount added. just do that for averages and you'll be fine throughout this unit. hope i could help :)
Answer:
7a)75 avg.
7b)75 avg.
7c) I'm not very sure but the answer should be it does not describe the mode, median or range.
8)10n
Step-by-step explanation:
on 7c , write the mean describes the average where the median is the middle number, the range and the least and greatest number, and the mode is the most frequent number
Photo above need help
Answer:
5, -1
Step-by-step explanation:
3x<10+8, 3x<18, x<6.
Find the area of the figure
The area of the figure is 528units²
What is area of figure?The space enclosed by the boundary of a plane figure is called its area. The area is measured in square units.
The figure contains several rectangles by dividing it into different shapes.
The first part is a rectangle;
area = l×w
= 16×8 = 128 units²
for the second part ;
area = l× w
= 8× 24
= 192 units²
for the third part
The area of the whole rectangle
= l×w
= 8× 24
= 192 units²
area of the cut out section
= 12 × 4 = 48 units²
Therefore area of the figure = 128+192+192-48
= 528 units²
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8 x 10 inch rectangle.Total area is 168 in^2. Calculate the width of the rectangle. Which of the following quadratic equations would be used when solving this?
A - 2x^2 + 18x = 88
B - 4x^2 + 36x = 88
C - 4x^2 + 18x = 88
D - 2x^2 + 36 = 88
If one angle of a parallelogram is 70 degrees, what are the sizes of other angles?
Answer:
70, 110, 70, 110
Step-by-step explanation:
opposite interior angles are equal
the sum of adjacent interior angles equal 180
$13=2.50+3h
What does h equal?
Answer: 10.50
Step-by-step explanation:
10.50 + 2.50 = 13
Answer:
13-2.50=10.50
10.50/3=3.5
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
15 to 19 was about a 27% in increase
multiply the maclaurin series for e z and 1 1 z to obtain the series expansion for e z 1 z up to z 5 . on what disk does it converge?
The series expansion for e z 1 z up to z 5 is obtained by multiplying the Maclaurin series for e z and 1 1 z. For |z| 1, this series converges.
The Maclaurin series for e^z is:
e^z = 1 + z + z^2/2! + z^3/3! + z^4/4! + ...
The Maclaurin series for 1/1-z is:
1/(1-z) = 1 + z + z^2 + z^3 + z^4 + ...
Multiplying these two series together gives:
e^z/(1-z) = (1 + z + z^2/2! + z^3/3! + z^4/4! + ...)(1 + z + z^2 + z^3 + z^4 + ...)
= 1 + (1+z) + (z + z^2/2! + z^2) + (z^2/2! + z^3 + z^3/3!) + (z^3/3! + z^4 + z^4/4!) + ...
= 1 + z + 2z^2 + 3z^3 + 5z^4 + ...
This series converges for |z| < 1
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Andre wrote the expression −5+4x÷3 to represent the relationship shown in the table. Find two other expressions that also represent the relationship shown in the table.
Select all that apply.
A.
5+(−4x÷3)
B.
4x−5
3
C.
3÷(−5)+4x
D.
4
3x−5
E.
(−5+4)+x÷3
F.
4x÷3+(−5)
Answer:
y=mx+b
Step-by-step explanation:
aaaa i’ve been seeing something close to this but not the same answer
Answer: 504 I THINK
Love me some ration questions lol!
2:7
114:504
you can work this out by putting the ration in a column eg 2:7
and if you know how many spots are in one column like for the 2 in 2:7 has 114 spots then you need to find oht how many are in that 114! basically just do 114 ÷ 2 =72 then use 72 to multiply the 7 (in 2:7) by 72 which makes 504.
I THINK THIS IS THE ANSWERIM REALLY SORRY IF MY ANSWER TURNS OUT WRONG!!
hops this helps!
Havs a good fridsy xo
how many positive integers $n$ with $n\le 500$ have square roots that can be expressed in the form $a\sqrt{b}$ where $a$ and $b$ are integers, $a\ge 10,$ and $b$ is as small as possible?
22 positive integers n with 500 have square roots that can be expressed in the form a where a and b are integers with a 10.
An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign (−1, −2, −3, etc.). A negative number is the additive reciprocal of the corresponding positive number. In math language, the set of integers is often denoted by bold Z or bold Z.
The set of natural numbers N is a subset of Z, which in turn is a subset of the set of all rational numbers Q , itself the real number R is a subset of Z just like the natural numbers. Integers can be thought of as real numbers that can be written without a fractional part.
According to the Question:
sqrt (121) = 11sqrt(1)
sqrt (242) = 11sqrt(2)
sqrt(363) = 11sqrt(3)
sqrt (484) = 11sqrt(4)
= 22sqrt(1)
Therefore, 22 positive integers n with 500 have square roots that can be expressed in the form a where a and b are integers with a 10.
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Answer:
22
Step-by-step explanation:
the price for 5/6 l of liquid x is $80. what is the price per litre of liquid x
Answer:
$96.
Step-by-step explanation:
5/6 costs 80
Multiply both parts by 6/5:
5/6 * 6/5 ( = 1 ) costs 80 * 6/5
= 16 * 6
= $96.
A rectangular prism-shaped display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall.
What is the volume of the display case in cubic inches?
Responses
73 1/4 in³
73 and 1 fourth, in³
320 1/4 in³
320 and 1 fourth, in³
10,328 1/16 in³
10328 and 1 sixteenth, in³
28,372 5/8 in
The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.
Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:
Volume = Length * Width * Height
Using the given measurements:
Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches
To simplify the calculation, we can convert the mixed numbers to improper fractions:
Volume = (21/2) inches * (61/2) inches * (129/4) inches
Next, we multiply the fractions:
Volume = (21/2) * (61/2) * (129/4) = 17289/8
The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:
Volume = 2161 1/8 in³.
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Help please, it’s maths homework and I’m very confused at the moment
Answer:
show working
Step-by-step explanation:
you know the area of a rectangle or square is length x width, we do the same here.
so we have a length of (x+5) and because its a square we do (x+5)(x+5) which is
\( {x}^{2} + 10x + 25\)
and we know the area of the square is 30 so we make the expression above equal to 30 and take 25 away from both sides to get the wanted equation
Joanie weighs 102 pounds. Her father weighs 2.2 times as much as Joanie. How much does her father weigh?
Answer:
224.4
Step-by-step explanation:
102x2.2=224.4
Could I please have Brainliest.
only motorists (i.e., drivers and passengers) get stuck in traffic, so you need to guess how many americans are on the road on any given day. since this number is a subset of the total number of americans, a useful technique is to estimate what fraction ???? of americans are daily motorists, then multiply the total number ???? by this fraction in order to refine your estimate. let ???? be the number of daily motorists, with ????
Approximately 243.75 million Americans are on the road on any given day.
The question is asking for a technique to estimate the number of Americans on the road on any given day by using a fraction.
To start, we need to estimate the fraction of Americans who are daily motorists. This fraction represents the proportion of Americans who are drivers or passengers on a daily basis.
Once we have this fraction, we can multiply it by the total number of Americans to refine our estimate. This is because the number of Americans on the road is a subset of the total population.
Let's say the total number of Americans is 325 million (just as an example). We need to find the fraction of Americans who are daily motorists.
To estimate this fraction, we can use data from surveys, traffic studies, or other sources that provide information about the number of Americans who commute or use the road on a daily basis. For example, if a survey suggests that 75% of Americans are daily motorists, we can use this fraction in our estimation.
Now, let's say the fraction of Americans who are daily motorists is 0.75 (or 75%). To refine our estimate, we can multiply this fraction by the total number of Americans:
0.75 * 325 million = 243.75 million
So, based on this estimate, 243.75 million Americans are on the road on any given day.
In summary, to estimate the number of Americans on the road, we can find the fraction of Americans who are daily motorists and multiply it by the total population. This technique allows us to refine our estimate and provide an approximation of the number of Americans on the road on any given day.
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To estimate how many Americans are on the road daily, you can approximate a fraction of the total U.S. population as daily motorists, then multiply that fraction by the total population.
Explanation:This problem involves making an estimate about a large population, which is often done using statistics. Let's say we assume that 20% of all Americans are daily motorists. If we know the total number of Americans, represented as ????, then we can calculate the number of daily motorists using the fraction, also represented as ????. If ????, the total number of Americans is 328 million, for example, then the number of daily motorists ???? = 0.20 * ????. This would be 0.20 * 328 million = 65.6 million daily motorists.
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I NEED HELP ASAP PLEASE ANSWER !!!!!!!!!!!
Translate the word phrase, "the product of 2.5 and the difference of 2 and −6," into a numerical expression.
2 − (−6)2.5
2.5 ⋅ 2 − (−6)
2.5(2 − (−6))
2.5 + 2 − (−6)
Answer:
2.5(2-(-6))
Step-by-step explanation:
first of all,
the difference between 2 and -6 is
2-(-6)
then product of 2.5 with this difference is
2.5× (2-(-6)=
2.5(2-(-6))
Find the solution of the following initial value problem. y ′′ + y = δ(t − 2π) cost; y(0) = 0, y′ (0) = 1
The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.
To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.
Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.
Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.
Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.
The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.
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Match the following MATLAB command to its mathematical meaning log(x) Choose) log 10(x) [Choose) In(x) [Choose] log base 10 of Not a valid MATLAB command log base e of x (log base d of x)/(log base d of b)
The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.
The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).
For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.
For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.
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Can someone please answer this? Thank you!
\(\\ \sf\longmapsto 1-\left(\dfrac{4}{7}+\dfrac{4}{5}\right)\)
\(\\ \sf\longmapsto 1-\left(\dfrac{20+28}{35}\right)\)
\(\\ \sf\longmapsto 1-\left(\dfrac{48}{35}\right)\)
\(\\ \sf\longmapsto 1-\dfrac{48}{35}\)
\(\\ \sf\longmapsto \mid \dfrac{35-48}{35}\mid\)
\(\\ \sf\longmapsto \mid \dfrac{-13}{35}\mid\)
\(\\ \sf\longmapsto \dfrac{13}{35}\)
Answer:
3/35
Step-by-step explanation:
total bottles 7/7
4/7 are big,
7/7-4/7=3/7 remaining bottles.
4/5×3/7=12/35 are small.
you add the big bottles and small bottles
4/7+12/35=32/35
then you minus from the total which is 7/7
7/7-32/35=3/35 are tiny.
Now you will attempt to copy your original triangle using one of its angles:
Draw a line segment, DE of any length anywhere on the coordinate plane, but not on top of ∆ABC.
Choose one of the angles on ∆ABC. From point D, create an angle of the same size as the angle you chose. Then draw a ray from D through the angle. You should now have an angle that is congruent to the angle you chose on ∆ABC.
Create a point anywhere outside the mouth, or opening, of the angle you created. The point will initially be named F by the tool, but you should rename it point G. Now draw a ray from E through G such that it intersects the first ray. Your creation should be a closed shape resembling a triangle.
Label the point of intersection of the two rays F, and draw ∆DEF by creating a polygon through points D, E, and F.
Click on point G, and move it around. By moving point G, you can change
DEF and EFD while keeping FDE fixed.
Take a screenshot of your results for one position of G, save it, and insert the image in the space below.
The construction of similar triangles are given in attached figure.
What is a triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Similar shapes are shapes whose lengths are in an equivalent ratio. Triangle ABC and triangle DEF are similar because the side lengths of both triangles are in an equivalent ratio (refer to the attachment).
Step 1: Draw a random triangle ABC
The lengths of two sides and an angle are:
AB=10
BC=6
C=90
Step 2: Draw and measure the length of DE
DE=15
Step3: Calculate the ratio
The corresponding line segment to DE is line segment AB.
So, the ratio (k) is:
k= DE/AB
k= 15/10
k=1.5
Step 4: Multiply the ratio by the other line segment in step 1
In (1), we have:
BC=6
So,
EF=k*BC
EF=1.5*6
EF=9
Step 4: Draw a circle with center F and radius EF
The center of the circle is point F and the radius of the circle is 9 units
Step 5: Draw a ray from the center (i.e. point F) to DE
Refer to the attached image for
Triangle ABC
Triangle DEF
Circle with center F and radius 9
Ray from F to DE
Therefore, construction of similar triangles are given in attached figure.
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Use a Pythagorean triple to find the value of x.
a
48
20
X
Answer:
The old apple revels in its authority.
Solve for x
Help please
Answer:
a)4√3Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDAStips and formulas:tan(60°)=√3tan(a)=opp/adjlet's solve:\( \sf substitute \: the \: value \: of \: \tan( {60}^{ o} ) : \\ \sqrt{3} = \frac{x}{4} \)\( \sf cross \: multipication : \\ \therefore \: x = 4 \sqrt{3} \)
Two lengths are in ratio 7:8.if the first length is 273. What amount is the second length
Answer:
312
Step-by-step explanation:
Since the ratio is 7:8, mark it as 7x:8x.
Now, they said that the first length is 273. Solve the equation:
7x=273
x=39
Substitute it into 8x. 39*8=312. That's your answer.
PLS MARK BRANILIEST!!!
in an emergency department, patients are assessed and placed in a categorical scale of 1, 2, 3, 4, or 5 based on the severity and urgency of their medical needs. how many dummy variables would be needed to include this categorical variable in a regression model?
Total 4 dummy variables would be needed to include this categorical variable in a regression model.
A regression analysis serves as the foundation for many types of forecasting and determining the effects on target variables. When you hear about studies in the news about fuel efficiency, pollution causes, or the effects of screen time on learning, a regression model is frequently used to back up their claims.
A dummy variable (also known as an indicator variable or simply dummy) in regression analysis is one that takes the values 0 or 1 to indicate the absence or presence of some classification impact that may be predicted to shift the result.
Total 4 dummy variables would be needed to include this categorical variable in a regression model.
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Find an equation of the sphere that passes through the point (4 3 -1) and has center (3 8 1)
The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:
(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2
where (h, k, l) represents the center of the sphere and r represents the radius.
First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]
Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:
√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]
Simplifying, we get:
√[1 + 25 + 4] = √30
Therefore, the radius of the sphere is √30.
Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30
So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
This equation represents all the points on the sphere's surface.
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4. 30 +-30 = 0.
=
a. Write another sum of two numbers that equals 0.
b. Write a sum of three numbers that equals 0.
c. Write a sum of four numbers that equals 0, none of which are opposite
Please help!?
Answer:
50+-50+0
Step-by-step explanation:
adding 50 to -50 and add 0 =0