Given that:
Width of the page = 640 pixels
Size of the left margin = 24 pixels
Size of the right margin = 24 pixels
Space between each picture = 16 pixels
Number of pictures = 4.
Then the number of spaces between 4 pictures is 3. So, the space needed between the four pictures
\(\begin{gathered} =(4-1)\cdot16 \\ =3\cdot16 \\ =48 \end{gathered}\)Width in the page remaining for pictures
\(\begin{gathered} =640-24-24-48 \\ =544 \end{gathered}\)Width of the picture
\(\begin{gathered} =\frac{544}{4} \\ =136 \end{gathered}\)Thus, the wide of a picture that can be fit four pictures on the page is 136 pixels.
An algebraic expression is given. Use the expression to answer the following questions,
a) How many terms are there in the algebraic expression?
b) What is the numerical coefficient of the first term?
c) What is the constant term?
d) Does the algebraic expression contain like terms? If so, what are the like terms?
X+ 3+ 7x
The
The number of terms in the algebraic expression is 3 terms.
The numerical coefficient of the first term is 1The constant term of the algebraic expression is 3Yes, the algebraic expression contain like terms; the like terms are x and 7xWhat is an algebra?An algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
Coefficient refees to a constant by which an algebraic term is multiplied.
Constant is a quantity that remains at a fixed value throughout a given discussion.
x + 3 + 7x
Thr terms are;
x;
3;
7x
Therefore, the algebraic expression has Coefficient, constant, and like terms.
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Find the missing angle measure (?). Round to the
nearest whole number.
47
24
Answer:
50 degrees
Step-by-step explanation:
Triangle = 180
180 - 90 = 90
? = 50 degrees
i’m not understanding this question
(8t)^2
Answer: 64t^2
Step-by-step explanation:
everything in the parenthesis has to get the exponent so it first becomes 8^2t^2 and then you simplify
Answer:
64t^2
Step-by-step explanation:
First, you need to distribute the exponent
8^2*t^2
Then you need to simplify
64t^2
And thats the answer
Please help me in this math problem
Answer:
Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!
alan invests £1000 in a bank account with an interest rate of r% per year. after one year the value of the account is £1025.
calculate r.
Bank account with an interest rate of r% per year = 2.5%
Simple Interest :
Simple interest paid or received over a certain period is a fixed percentage of the principal amount.
Simple Interest=P×\(\frac{r}{100} }\)×T
where:
P=Principal
r= interest rate on a certain period
T= Time
Given :
Principal(P)= £1000
Time (T)= 1 Year
Find :
the interest rate per year = r%
Now,
Interest earned on account = £1025 - £1000
Simple Interest= £ 25
Simple Interest=P×\(\frac{r}{100}\)×T
25= 1000×\(\frac{r}{100}\)×1
25×100=1000r
2500=1000r
\(\frac{2500}{1000} =r\\\frac{25}{10} =r\\\frac{5}{2} =r\\2.5=r\)
r= 2.5%
the interest rate of r% per year. after one year the value of the account=2.5%
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If a 100 part spinner is spun and then a coin is flipped how many possible outcomes are in the sample space for the compound event
Answer:
200
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
Find the solution for a 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
Answer:
Step-by-step explanation:
Answer:
A^n = [4^n 4^n
0 1]
Step-by-step explanation:
To find the solution for the 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:
A^1 = [4 4
0 1]
Now, let's solve for A^2 by multiplying A^1 by A:
A^2 = A x A^1
= [4 4 [4 4
0 1] 0 1]
= [16 16
0 1]
Next, let's solve for A^3:
A^3 = A x A^2
= [4 4 [16 16
0 1] 0 1]
= [64 64
0 1]
We can see a pattern emerging:
A^1 = [4 4
0 1]
A^2 = [16 16
0 1]
A^3 = [64 64
0 1]
We can generalize this pattern as follows:
A^n = [4^n 4^n
0 1]
Therefore, the solution for the 2x2 matrix A raised to the nth power is:
A^n = [4^n 4^n
0 1]
What is an equation of the line that passes through the point (8,2) and is parallel tothe line 5x – 4y = 36?
To find the equation that passes through (8,2)
and is parallel to the line 5x – 4y = 36
First, we need to find the slope (m) of the equation
To do that, we need to find the slope of the line;
5x – 4y = 36
To find the slope of the above, re-arrange the equation to be in the form
y= mx + b
where m is the slope and b is the intercept
5x – 4y = 36
-4y = -5x + 36
divide both-side of the equation by -4
y = 5/4 x - 9
From the above;
m = 5/4
Slope of parallel equations are the same
Hence the slope of our new equation is also 5/4
Now, we go ahead and find the intercept of our new equation
To do that, we need to substitute the points (8, 2) and m=5/4 into;
y=mx + b and then solve for b
That is;
2 = (5/4)(8) + b
2 = 10 + b
subtract 10 from both-side of the equation
2-10 = b
-8 = b
b= -8
Hence;
we can form the new equation by substituting m =5/4 and b = -8 into;
y=mx + b
That is;
y = 5/4 x -8
\(y\text{ =}\frac{5}{4}x\text{ - 8}\)An isosceles triangle has an angle that measures 136°. What measures are possible for the other two angles? Choose all that apply.
Answer:
The other two angles are 22° , 22°
Step-by-step explanation:
To find the other angles, we can use angle sum property of triangle.
The given angle 136° cannot be base angles. Let the base angles be x.
x + x + 136 = 180°
2x + 136 = 180°
Subtract 136 from both sides,
2x = 180 - 136
2x = 44°
Divide both sides by 2,
x = 44 ÷ 2
\(\sf \boxed{x = 22^\circ}\)
Answer:42
Step-by-step explanation:
just addwhats 62.7×2.45......?
Answer:
153.615
Step-by-step explanation:
62.7 × 2.45=153.615
2 When you multiply a a number by 7 and add 8 to the answer, you get 50. What is the number?
Answer:6
Step-by-step explanation:
the correct answer would be 6. Step-by-step explanation: when 7 is multiplied by 6 it gives 42 ,then we have to add 8 to the product and it gives 50
Plsssss Help i have no idea how to do this
Answer:
500
Step-by-step explanation:
Erik worked from 3:30 P.M. to 4:05 P.M. Mary worked ſo of an hour. Who worked longer? Explain and show your work.
Answer:
Mary because she worked a hour and Erik worked 35 mins you need to 30 mins to make a hour and it was already 3:30 for him so he work 35 mins brainliet pls
Step-by-step explanation:
B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
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What is the slope of the following equation of a line? 2x + 3y = 12
Answer:
m = -2/3
Step-by-step explanation:
2x + 3y = 12
-2x. -2x
3y = -2x + 12
÷3. ÷3. ÷3
y = -2/3x + 4
m = -2/3
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
A rectangular prism has a length of 2 centimeters, a height of 8 centimeters, and a
width of 13 centimeters. What is its volume, in cubic centimeters?
The volume of the rectangular prism is 208cm³
What is the volume of a rectangular prism?Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.
The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width
length = 2cm
width = 13 cm
height = 8cm
base area = 13× 2 = 26cm²
Volume of the prism = 26× 8 = 208cm³
Therefore the volume of the rectangular prism is 208cm³.
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elijan un lugar de su escuela o de su localidad y elaboren un croquis a escala muestren su trabajo a la clase e indiquen que escala utilizaron
Answer:
pls ask the question in english pls i don't understand it
Solve for t 4t + 5 ≤ -7
Answer:
t ≤ -3
Step-by-step explanation:
4t + 5 ≤ -7
4t ≤ -12
t ≤ -3
what's the answer for (2+i)(i+2i)?
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{3 {i}^{2} + 6i}}}}}\)
Step-by-step explanation:
\( \sf{(2 + i)(i + 2i)}\)
Use the distribute property to multiply each term of the first binomial by each term of the second binomial.
⇒\( \sf{2(i + 2i) + i(i + 2i)}\)
⇒\( \sf{2i + 4i + {i}^{2} + 2 {i}^{2} }\)
Collect like terms
⇒\( \sf{3 {i}^{2} + 6i}\)
Hope I helped!
Best regards!
All Major League Baseball stadiums use standard measurements for their infield area. The pitcher's mound is a circle with a diameter of 18 feet. What is the approximate area that the pitcher's mound encompasses? Do not round your answer.
Answer:
254 4/7 or 254.34 ft² (it depends on which method you use.)
Step-by-step explanation:
To find the area of a circle, the formula is πr².
I'll use both 22/7 and 3.14 as pi, so I'll end up with two different answers. Just choose the more reliable one.
22/7 version:
22/7 * 9^2
22/7 * 81/1
1782/7
254 4/7 ft²
3.14 version:
3.14 * 9^2
3.14 * 81
314 - (3.14 * 19)
314 - 62.8 + 3.14
251.2 + 3.14
254.34 ft²
As I said, I ended up with two different answers. You also had said not to round my answer, so the 22/7 version has a mixed number.
what is the solution 2x-y=-2 2x+4y=8
Answer:
The answer is
x is 0
y is 2
Step-by-step explanation:
2x-y=-2
-2x-4y=-8
-5y=-10
y=2
2x-2=-2
2x=0
x=0
the perimeter of a quadrant is 52cm, find the radius of the quadrant
The radius of the quadrant whose perimeter is 52cm is 14.56cm.
A quadrant is 1/4th of a circle, consisting of two radii, perpendicular to each other.
So, the perimeter of a quadrant consists of two radii and an arc, which is 1/4th the perimeter of a circle.
Therefore, the perimeter of the quadrant = 2r + (1/4)*(2πr) = 2r + (πr/2).
Now, we are given the perimeter of the quadrant = 52cm and are asked to find its radius.
We suppose the radius to be r cm.
Therefore, we can say that:
52 = 2r + (πr/2).
or, 52 = (4r + πr)/2
or, 52*2 = r(4 + π)
or, r = 104/(4 + π) = 14.56.
Therefore, the radius of the quadrant whose perimeter is 52cm is 14.56cm.
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Evaluate : -35 ÷ (-7) =
Answer:
-35/-7=5
Step-by-step explanation:
Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication
24 students took in a class took an algebra test. If 18/students passed the test, what’s percent passed?
Answer:
75% of the students passed.
Step-by-step explanation:
Calculate each compound event probability: a. X ≤ 15, n = 20, π = .70 (Round your answer to 4 decimal places.) b. X > 8, n = 11, π = .65 (Round your answer to 4 decimal places.) c. X ≤ 1, n = 13, π = .40 (Round your answer to 4 decimal places.)
For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .
For X > 8, n = 11, π = .65 ; compound event probability is approximately 0.9198.
For X ≤ 1, n = 13, π = .40 ; compound event probability is approximately 0.6646 .
a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:
P(X ≤ 15)
= ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗
Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).
b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:
P(X > 8) = 1 - P(X ≤ 8)
= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗
Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.
Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).
c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:
P(X ≤ 1)
= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗
Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).
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The length of a rectangular book is 2 times its width. The perimeter of the book is 42 inches. Write a system of
equations to represent the dimensions of the book then find the length and width.
Answer:
Mark me as brainlist
Step-by-step explanation:
P = Perimeter
L = Length
W = Width
Perimeter of rectangle = L + L + W + W
or P = 2L + 2W
You know:
P = 36 inches
L = 2W [length is(=) 2 times it's width]
W = ?
P = 2L + 2W
Substitute/plug in what you know, plug in 2W for L since L = 2W
36 = 2(2W) + 2W Simplify
36 = 4W + 2W
36 = 6W Divide 6 on both sides
6 = W Now that you know the width, you can find the length:
L = 2W
L = 2(6)
L = 12
L = 12 in
W = 6 in
PROOF
P = 2(12) + 2(6)
P = 24 + 12
P = 36
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The true statements are:
The radius of the circle is 3 units.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.What is circle?A circle is a closed, two-dimensional shape where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the middle.
To identify the true statements, we can first rewrite the given equation of the circle in standard form:
x² - 2x + y² = 8
Completing the square, we get:
(x - 1)² + y² = 9
Now we can identify the true statements:
The radius of the circle is 3 units. (True, the equation is in standard form (x-1)² + y² = 3²)The center of the circle lies on the x-axis. (False, the center is (1,0))The center of the circle lies on the y-axis. (False, the center is not on the y-axis)The standard form of the equation is (x – 1)² + y² = 3. (True, as shown above)The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9. (True, both circles have a radius of 3)Therefore, the true statements are:
The radius of the circle is 3 units.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.Learn more about circle on:
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I need help plss guys like right now
Answer:
r^-8s^-5 = 1/r^8 * s^5 = s^5/r^8
s^5/r^8 = r^-8s^5
Owen forgot put s^5 in the denominator to make its exponent negative.
please answer this asap!