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1620/15 = 108; YES
1709; Last number inst 0 or 5; NO
Related Questions
3-i/1+i please answer in a +bi form
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[tex]\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b) \\\\\\ \textit{also recall that }\qquad i^2=(\sqrt{-1})(\sqrt{-1})\implies i^2=-1\\\\ -------------------------------\\\\[/tex]
[tex]\bf \cfrac{3-i}{1+i}\cdot \cfrac{1-i}{1-i}\implies \cfrac{(3-i)(1-i)}{(1+i)(1-i)}\implies \cfrac{(3-i)(1-i)}{(1^2)-(i^2)} \\\\\\ \cfrac{3-3i-i+i^2}{1^2-(-1)}\implies \cfrac{3-3i-i+(-1)}{1+1}\implies \cfrac{3-1-3i-i}{2} \\\\\\ \cfrac{2-4i}{2}\implies \cfrac{\underline{2}(1-2i)}{\underline{2}}\implies 1-2i[/tex]
18+27 write the sum of the numbers as the product of their GCF and another sum
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What is 8.478 in expanded form
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A passenger plane left Rome and flew toward Jakarta. one hour later a cargo plane left flying 26 km/h faster in an effort to catch up to it. After 11 hours the cargo plane finally caught up. find the passenger plane's average speed.
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is the number /2500 rational or irrational? explain
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Ex of rational: The number 8 is a rational number because it can be written as the fraction 8/1.
Ex of irrational: π = 3.141592…
Hoped it helped! :)
Answer:
Rational
Step-by-step explanation:
If you ask about number "2500" then it is rational since 2500 can be changed in the form of p/q, where q ≠ 0. Like, 2500, 5000/2 or so on.
and if you ask about "[tex]\frac{number}{2500}[/tex]" then it is also rational and it is terminating rational number because denominator (2500) can be converted in [tex]2^{m} *5^{n}[/tex].
twelve times the sum of a number and 2 is equal to 36. what is the number
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12x+24=36
12x=12
x=1
12x+24=36
-24. -24
12x=12
/12. /12
x=1
Please show the steps in solving B=5/7(F-38) solve for F
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Which two fixed points define the shape of a hyperbola?
A.) center and focus
B.) focus and directrix
C.) two foci
D.) vertex and focus
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Find all real zeros of the function y=-9x-1
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or
If y = -9x - 1,
When y = 0
0 = -9x - 1
0 + 1 = -9x - 1 + 1
1 = -9x
1/9 = -9x/9
1/9 = -x
1/[9 X (-1)] = -x/-1
- (1/9) = x
When x = 0
y = (-9 X 0) - 1
y = 0 - 1
y = - 1
Answer:
B.- 1/9
Step-by-step explanation:
Based on the empirical rule, what percent of the observations will lie between plus or minus two standard deviations from the mean
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which is the value that will make -7x<102
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First step is to divide both sides by -7. Because we are dividing by a negative number, we have to flip the signs.
-7x < 102
x > -102/7
The only one of your answer choices that is greater than -102/7 is A. 20.
Hope this helped!
A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the height, z, of the trapezoid. In your final answer, include all of the formulas and calculations necessary.
Answers
[tex]\bf A=\cfrac{h(a+b)}{2}\quad \begin{cases} A=20\\ a=6z-1\\ b=2z+3\\ h=z \end{cases}\implies 20=\cfrac{z[(6z-1)~+~(2z+3)]}{2} \\\\\\ 20=\cfrac{z(8z+2)}{2}\implies 20=\cfrac{2z(4z+1)}{2}\implies 20=z(4z+1) \\\\\\ 20=4z^2+z\implies 0=4z^2+z-20[/tex]
[tex]\bf \qquad \qquad \textit{quadratic formula}\\\\ \begin{array}{llccll} 0=&{{ 4}}z^2&{{ +1}}x&{{ -20}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \qquad \qquad z= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}} \\\\\\ z=\cfrac{-1\pm\sqrt{1+320}}{8}\implies z=\cfrac{-1\pm\sqrt{321}}{8}\implies z\approx \begin{cases} \boxed{2.1146}\\ -2.3646 \end{cases}[/tex]
since the height is just a length unit, it can't be -2.3646.
Answer:
2.11 cm
Step-by-step explanation:
As you can see in the picture I put the sides in the trapezoid. Now, let's use the area's formula:
A = [tex]\frac{(B+b)*h}{2}[/tex]
where B is the Largest parallel side, b the smallest parallel side and h is the height.
Now,
20 = [tex]\frac{(6z-1+2z+3)*z}{2}[/tex]
20 = [tex]\frac{(8z^{2}+2z}{2}[/tex]
20 = [tex]4z^{2}+z[/tex]
[tex]4z^{2}+z-20=0[/tex]
Then, we use the cuadratic formula z= [tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex] where a=4, b=1 and c=-20.
z= [tex]\frac{-1+-\sqrt{1-4(4)(-20)} }{8}[/tex]
z = [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]
z = [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]
z = [tex]\frac{-1+-17.91}{8}[/tex]
As we are searching lenght we choose the positive z value
z = [tex]\frac{-1+17.91}{8}[/tex]
z= [tex]\frac{16.91}{8}[/tex]
z = 2.11 cm.
one slice of cheese pizza contains 310 calories.A medium-size orange has one-fifth that number of calories. How many calories are in a medium-size orange?
Answers
The orange has one-fifth of the pizza
So calories in orange = 310 ÷ 5 = 62 calories.
Your answer is 62 calories.
Hope it helped you. Mark as best!
The campsite shop sells boxes of Funshine Cereal.
The base of each box is a 180 mm x 60 mm rectangle.
The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle.
Work out the maximum number of boxes that will fit on the shelf.
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so how much area each box's base takes up? 18x6 centimeters, or 108cm.
the shelf is a 65x35 so is 2275 centimeters in available area.
how many times does 108 go into 2275? well, 2275/108, that many would fit in the shelf
Answer:D 3,888
Step-by-step explanation:
Select all that apply. (xyz)2 = _____ The expression without exponents is?
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Suppose that coin 1 has probability 0.7 of coming up heads, and coin 2 has probability 0.6 of coming up heads. if the coin flipped today comes up heads, then we select coin 1 to flip tomorrow, and it if comes up tails, then we select coin 2 to flip tomorrow. if the coin initially flipped is equally likely to be coin 1 or coin 2. what is the probability that the coin flipped after four transitions is coin
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Answer:
C. 3/8
Step-by-step explanation:
Find all real solutions
2x² + 4x + 1 = 0
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[tex]x=\frac{-b\pm \sqrt{(b^{2})-4ac}}{2a}[/tex]
Here a=2, b=4, c=1 so:
[tex]x=\frac{-4\pm \sqrt{(4^{2})-4*2*1}}{2*2}[/tex]
If you need help from there, let me know.
how many sets of 4 consecutive numbers are there such that the product of the numbers is less than 100000
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a circle is centered at the point -3,2) and passes through the point (1,5). The radius of the circle is blank units. The point (-7, blank) lies on this circle
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The general equation of a circle is x^2 + y^2 = r^2. Here we know that the circle passes thru two points: (-3,2) and (1,5). Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.
Subst. the known values (of the first point) into this equation: (-3)^2 + (2)^2 = r^2. Then 9 + 4 = 13 = r^2.
Let's check this. Assuming that the equation of this specific circle is
x^2 + y^2 = r^2 = 13, the point (1,5) must satisfy it.
(1)^2 + (5)^2 = 13 is not true, unfortunately.
(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).
Check the original problem. If it's different from that which you have shared, share the correct version and come back here for further help.
Which of the following is a factor of x^3-4x^2-18x+9
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[tex]x^3-4x^2-18x+9\\ =x^3+3x^2-7x^2-21x+3x+9\\ =x^2(x+3)-7x(x+3)+3(x+3)\\ =(x+3)(x^2-7x+3)\\ =(x+3)(x- \frac{7- \sqrt{37}}{2} )(x- \frac{7+ \sqrt{37}}{2} )[/tex]
You use your mobile phone to phone home every day. It costs $15 per month and 18c per minute for phone calls.
How much will you have to pay for 420 minutes of calls including the monthly charge?
Answers
+15.00
=90.60
what is critique reasoning
Answers
Critique reasoning involves systematically evaluating arguments, identifying assumptions, assessing evidence, and providing reasoned judgments.
Critical reasoning involves analyzing arguments or claims in a systematic and logical manner to evaluate their validity, soundness, and coherence. It entails examining evidence, identifying assumptions, assessing logical consistency, and recognizing fallacies.
Critique reasoning goes beyond merely accepting or rejecting a statement; it involves providing reasoned and well-supported judgments or critiques based on evidence and logical analysis. It helps individuals develop a deeper understanding of complex issues, make informed decisions, and construct persuasive arguments.
Critique reasoning fosters intellectual independence and the ability to engage critically with diverse perspectives and ideas.
Segment MN has endpoints at M(2,5) and N(-4,3). What is the midpoint of the segment?
Answers
To find the midpoint of segment MN, we can use the midpoint formula which states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints. Using this formula, we find that the midpoint of segment MN is (-1, 4).
Explanation:To find the midpoint of the segment MN, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints.
Let's calculate the x-coordinate of the midpoint:
x-coordinate = (x1 + x2) / 2 = (2 + (-4)) / 2 = -2 / 2 = -1.
Now, let's calculate the y-coordinate of the midpoint:
y-coordinate = (y1 + y2) / 2 = (5 + 3) / 2 = 8 / 2 = 4.
Therefore, the midpoint of segment MN is (-1, 4).
Final answer:
The midpoint of the segment MN with endpoints M(2,5) and N(-4,3) is (-1, 4).
Explanation:
To find the midpoint of a segment, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
For segment MN with endpoints M(2,5) and N(-4,3), we can calculate the x-coordinate of the midpoint by averaging the x-coordinates:
(2 + (-4)) / 2 = -1
And we can calculate the y-coordinate of the midpoint by averaging the y-coordinates:
(5 + 3) / 2 = 4
Therefore, the midpoint of segment MN is (-1, 4).
You are creating identical picnic baskets using 30 sandwhiches and 42 cookies. What is the greatest number of baskets that you can fill using all of the food?
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Simplest way to do this is by listing out all the factors.
30: 1, 2, 3, 5, 6, 10, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42
So the greatest number that they share is 6.
So there would be 6 picnic baskets. (With 5 sandwiches and 7 cookies in each)
the shortest adult women is 24 inches tall. the tallest adult women is 92 inches tall. write and absolute value equation to represent the minimum and maximum heights
Answers
μ = (24 + 92)/2 = 58
Let's solve for |x - μ|:
|24 - 58| = 34
|92 - 58| = 34
Therefore, the absolute value equation is:
|x - 58| = 34
The large rectangle's dimension are three times the dimensions of the small rectangle.
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If an experiment consists of five outcomes with p(o1) = 0.10, p(o2) = 0.20, p(o3) = 0.30, p(o4) = 0.15, then p(o5) is
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i.e.
p(o1) + p(o2) + p(o3) + p(o4) + p(o5) = 1
0.10 + 0.20 + 0.30 + 0.15 + p(o5) = 1
0.75 + p(o5) = 1
p(o5) = 1 - 0.75 = 0.25
p(o5) = 0.25
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 6. Instead, she subtracted 6 and then divided the result by 3, giving an answer of 35. What would her answer have been is she had worked the problem correctly?
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(x - 6) / 3 = 35
x - 6 = 35*3
x - 6 = 105
x = 105 + 6
x = 111
so she should have subtracted 3, then divided by 6
(111 - 3) / 6 = 108/6 = 18 <===
(35 × 3) - 6 = 111
Original number chosen is 111.
Now perform the correct operations.
111 - 3 = 108
108 ÷ 6 = 18
The correct answer is 18
Hope it helped!
In your own words, explain the place value relationship when the same two digits are next to each other in a multi digit number.
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what is the height of a box with a volume of 50 cubic meters, length of 10 meters, and which of 2 meters
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so 50 divided by 20
= 2.5