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Find the missing terms in the sequence.
4, 6, 10, 16, 24, 34, __, 60, 76, __, 114
Answer:46 and 94
Step-by-step explanation:
A board must be cut so that its length is 40.50 cm. The tolerance is 0.25 cm . Which inequality describes the allowable lengths for the board?
(A) |x-0.25| ≤ 40.50
(C) |x-40.50| ≤ 0.25
(B) |x+0.25| ≤ 40.50
(D) |x-0.25| ≤ 40.75
The inequality that describes the allowable lengths for the board is |x - 40.50| ≤ 0.25
How to determine which inequality describes the allowable lengths for the board?The given parameters are
Length = 40.50 cm
Tolerance = 0.25 cm
The inequality that describes the allowable lengths for the board is represented as:
|x - Length| ≤ Tolerance
This gives
|x - 40.50| ≤ 0.25
Hence, the inequality that describes the allowable lengths for the board is |x - 40.50| ≤ 0.25
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Simplify: (3^2x4^2)^5
Hey there!
Assuming:
(3^2 * 4^2)^5
If so,
(3^2 * 4^2)^5
= (3 * 3 * 4 * 4)^5
= (9 * 16)^5
= (144)^5
= 144^5
= 144 * 144 * 144 * 144 * 144
= 20,736 * 20,736 * 144
= 429,981,696 * 144
= 61,917,364,224
Therefore, your answer should be:
61,917,364,224
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Determine whether each infinite geometric series diverges or converges.
If the series converges, state the sum. 1+2+4+ . . .
Determine whether each infinite geometric series diverges or converges.
If the series converges, state the sum. 1+2+4+ . . .The series diverges.
How to verify the divergence of this series?
[tex]a(\text{ the first term })=1\\\\r(\text{ the common ratio })=\frac{a_2}{a_1} =2[/tex]
Since, [tex]\vert r \vert > 1[/tex] the infinite series diverges.
What is an infinite geometric series?
The result of an endless geometric sequence is an infinite geometric series.There would be no conclusion to this series.The total of all finite geometric series can be determined.However, if the common ratio of an infinite geometric series is bigger than one, the terms in the sequence will grow steadily larger, and adding the larger numbers together will not yield a solution.To learn more about infinite geometric series, refer:
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angle a = 2x-10 and angle b = 4x+16
solve for x
Answer:
29
Step-by-step explanation:
2x-10+4x+16=180
6x+6=180
6x=174
x=29
Please help with the rest asap
The equations are listed below:
2 · x + 3 = 93 · x - 5 ≤ 64 · (x + 3) < 9x / 5 = x - 86 - 9 · x ≥ 12(1 / 4) · x + 8 = 329 · (x - 1) ≥ 223 - 2 · x ≤ 137 + 2 · x > 154 · x - 9 ≥ 10(x + 2) / (3 · x) = 53 · x ≤ x - 8(x + 3) / 8 = 189 · (x - 7) ≤ 19How to describe a sentence into mathematical equations
In this problem we find fourteen cases of sentences that must be translated into mathematical expressions, that is, expressions that involve constants, variables and operators. Now we proceed to present the result of each case:
Three more than twice a number is nine: 2 · x + 3 = 9Five less than three times a number is at most 6: 3 · x - 5 ≤ 6The product of 4 and the sum of a number and 3 is less than 9: 4 · (x + 3) < 9The quotient of a number and 5 is equivalent to 8 less than the number: x / 5 = x - 8Six decreased by the product of 9 and a number has a minimum of 12: 6 - 9 · x ≥ 12The total of one-fourth of a number and 8 is 32: (1 / 4) · x + 8 = 32The product of 9 and the difference of a number and 1 is at least 22: 9 · (x - 1) ≥ 22The difference of 3 and twice a number has a maximum of 13: 3 - 2 · x ≤ 13Seven increased by double a number is greater than 15: 7 + 2 · x > 15Nine subtracted from the product of 4 and a number is no less than 10: 4 · x - 9 ≥ 10The ratio of a number increased by 2 and the product of 3 and the same number equals 5: (x + 2) / (3 · x) = 5Triple a number is at most 8 fewer than the number: 3 · x ≤ x - 8Three more than a number divided by 8 yields 18: (x + 3) / 8 = 18The product of 9 and the difference of a number and 7 is no more than 19: 9 · (x - 7) ≤ 19To learn more on algebraic equations: https://brainly.com/question/953809
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Brianliest if answer I really need help
Step-by-step explanation:
out of the 3 values, there is for every line one missing. so, we need to use the formula that calculates the missing value out of the other 2.
and based on the density value (in most cases already given in the table) we mark float or sink (as your paper says, if it is smaller than 1g/cm³, it will float, if it is larger, it will sink).
1.
density is missing
D = M/V = 12/0.5 = 12/0.5 × 2/2 = 24/1 = 24 g/cm³
sinks
2.
volume is missing.
V = M/D = 16/0.2 = 80 cm³
floats
3.
mass is missing.
M = D×V = 5×20 = 100 g
sinks
4.
volume is missing.
V = M/D = 0.9/0.3 = 3 cm³
floats
5.
density is missing
D = M/V = 6/4 = 3/2 × 0.5/0.5 = 1.5/1 = 1.5 g/cm³
sinks
6.
density is missing
D = M/V = 8/1.8 = 4.444444444... g/cm³
sinks
7.
mass is missing.
M = D×V = 9×13 = 117 g
sinks
8.
density is missing
D = M/V = 14.7/15 = 0.98 g/cm³
floats
9.
mass is missing.
M = D×V = 2×1.1 = 2.2 g
sinks
10.
volume is missing.
V = M/D = 17/3 = 5.66666666... cm³
sinks
The smallest camera in world is 0.99 millimeters in diameters is the diameter less than or greater than 0.1
99 is bigger than 10 therefore stating the video camera has a greater diameter than .1 .
What is an example of diameter?
If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to a circle's diameter, which is a line segment that extends from one end of the circle to the other end while passing through the center.The diameter of this camera is greater than .1 millimeter because On a ruler, .99 millimeter is farther to the right than .10 millimeters.
Also, and easier way to look at this is taking away the decimal.
99 is bigger than 10 therefore stating the video camera has a greater diameter than .1 .
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for the love of GOD PLS ONLY ANSWER IF YOU ARE SURE.
I NEED quick and CORRECT answer ASAP I have been working all day and I feel so stressed and upset ... tbh I have overworked myself. AND THERES STILL MORE GOD JESUS. So please, PLEASE help me. and SERIOUSLY help me and don't just take advantage of the fact I offered a lot of points... thank you brainly community
Answer:
Check the attached screenshot! :)
Step-by-step explanation:
Check the attached screenshot! Let me know if you have any questions! :)
Answer:
1 - 3 -2 -4
Step-by-step explanation:
expand them all
.000000092
.058
.0544
2400 so you can see the least to greatest is 1 3 2 4
How do you figure out this equation
8n +2 = 7n -4
The value of n in the equation is -6
How to calculate the equation ?The first step is to write out the equation
8n +2 = 7n-4
collect the like terms
8n-7n = -4-2
n= -6
Hence the value of n is -6
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Let S = {3, {1, 4}, 2}. The number of elements in power set of S will be:
A) 6
C) 12
B) 8
D) 16
S has 3 elements - 3, {1, 4}, and 2 - so its power set will contain 2³ = 8 elements. (B)
CUANTO ES 4:5=16:20 ????? AYUDA PORFIS SE LOS VOY A AGRADESER MUCHISIMO
Which expression is equivalent to 11(45−21)?
Answer:
11×45-11×21
Step-by-step explanation:
multiply the number outside the bracket with the each number inside the bracket
The greatest y-value of a function
Answer:
Y=f(x)
Step-by-step explanation:
A shipping container will be used to transport several 130-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 26500
kilograms. Other shipments weighing 7700 kilograms have already been loaded into
the container. What is the greatest number of 130-kilogram crates that can be loaded
into the shipping container?
The maximum number of 130 kg crates that can be loaded into the shipping container is 137 which is calculated using linear inequality.
A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.
An example of linear inequality is : 2x+8>18
Linear inequality can be represented using several symbols such as:
<,>,≥ and ≤.
Let us consider there are x number 130 kg crates.
The shipping container can take a maximum weight of 26500 Kilogram.
There is already 7700 kilograms of shipment loaded
Therefore we can write an linear inequality in x such as:
130x+7700 ≤ 256500
Subtracting 7700 from both sides we get:
130x+7700-7700 ≤ 25600-7700
or,130x ≤ 17900
Dividing both sides by 130
or, x ≤ 137.69....
Now we can say as the crates must be whole therefore the maximum number of 130 kg crates that the shipping container can hold is 137.
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Refer to ®F .
Identify a chord that is not a diameter.
A chord is any circle segment that connects two points. A circle chord is always used as the diameter. The chords AE and DE do not intersect in the center. As a result, they are not diameters.
What is the difference between the diameter and chord of a circle?In geometry, a circle's diameter is any straight line segment that passes through the center of the circle and has endpoints on the circle. It is also referred to as the circle's longest chord. Both definitions apply to a sphere's diameter.
The chord of a circle is defined as the line segment connecting any two points on its circumference. It should be noted that the diameter of a circle is the longest chord passing through its center.
A circle chord is a straight line with both ends on a circular arc. A secant line, or simply secant, is the infinite line extension of a chord. A chord is a segment of a line that connects two points on a curve, such as an ellipse.
A chord is any circle segment that connects two points. A circle chord is always used as the diameter. The chords AE and DE do not intersect in the center. As a result, they are not diameters.
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In Colorado Springs, the fine for illegally parking in a zone reserved for people with disabilities is $350
This is $200 higher than the fine in Denver.
How much is the fine in Denver? Use x as your variable.
The cost of the fine in Denver is $100.
How much is the fine in Denver?The mathematical operation that would be used to determine the cost of the fine in Denver is subtraction. Subtraction is the mathematical operation that is used to determine the difference between two or more numbers. The sign used to denote subtraction is - . Other mathematical operations are addition, division and multiplication.
In order to determine the cost of the fine in Denver, subtract $200 from the cost of the fine in Colorado Springs.
The equation that represents the cost of the fine in Denver is:
Cost of the fine in Colorado Springs = $200 + cost of the fine in Denver
$350 = $200 + x
In order to determine the value of x, subtract $200 from both sides of the equation.
$350 - $200 = x
x = $100
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Three personal watercraft vehicles launch from the same dock. The first vehicle leaves the dock traveling due northeast, while the second vehicle travels due northwest. Meanwhile, the third vehicle leaves the dock traveling due north.
The first and second vehicles stop about 300 yards from the dock, while the third stops about 212 yards from the dock.
(b) Write a coordinate proof to prove that the dock, the first vehicle, and the second vehicle form an isosceles right triangle.
The first and second vehicle form ΔAOC and ΔBOC are congruent so they will be an isosceles triangle.
How to plot a graph?A graph is a visual representation of how one variable changes over time in connection to one or more other variables.
We must determine the values of y that correlate to the value of x in order to plot the graph.
The coordinate geometry must then be changed to reflect the values of x and y.
Given the condition making a graph as shown below,
Now in ΔAOC and ΔBOC, the angle x is the same.
Distance AO = BO and CO is common side.
So both triangles will be congruent.
All congruent triangles will be isosceles triangles since all sides are equal which means two sides will be equal.
Hence "The first and second vehicle form ΔAOC and ΔBOC are congruent so they will be an isosceles triangle.".
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show work, please!!!
Since angle ABC (m∠ABC) is bisected by line BD, the measure of m∠DBC is equal to 44°.
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, quadrilateral, rhombus, parallelogram, circle, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
What is a perpendicular bisector?A perpendicular bisector can be defined as a type of line that bisects (divides) a line segment exactly into two (2) halves and forms an angle of 90 degrees at the point of intersection.
Since angle ABC is bisected by line BD, we have:
m∠ABD = m∠DBC = m∠ABC/2
m∠ABC/2 = 8x/2 = 4x
Substituting the given parameters into the expression, we have;
m∠ABD = m∠DBC = 4x
2x + 22 = 4x
4x - 2x = 22
2x = 22
x = 22/2
x = 11
Now, we can find m∠DBC as follows:
m∠DBC = 4x
m∠DBC = 4 × 11
m∠DBC = 44°.
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Look at the expression y - 2x + 7, and identify the following... coefficient(s) constant(s) variable(s)
In the given expression y - 2x + 7 y and x are the variables, -2 is the coefficient of x and 1 is the coefficient of y and 7 is the constant.
What is a coefficient ?
Any component of a product that is taken into account in relation to another component, particularly a constant component of a term as opposed to a variable.
What is an a variable?
Any qualities, quantity, or number that can be gauged or counted qualifies as a variable. A variable may alternatively be called a data piece. Examples of variables include age, sex, business income and expenses, country of birth, capital expenditures, class grades, eye color, and vehicle type.
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a. A supermarket displays cans in a triangle. Write an explicit formula for the sequence of the number of cans.
Explicit expressions help represent all members of a sequence in one expression. The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and each term in the sequence can be computed without knowing the other terms in the sequence.
In general, an explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.
Explicit expressions are always used to represent any term in a sequence without describing any other term in the sequence. The meaning of "explicit" is direct, which can be found directly without knowing the other terms in the sequence.
The explicit formula for the sequence of cans will be,
an=a+(n-1)
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Simplify the expression.
-11-4 / 12-(-9)
The simplified form of expression is -5/7.
To simplify the expression, we will solve the equation to convert them in smallest divisible fraction.
For this, firstly solving the numerator of fraction and then solving the denominator of fraction.
Solving numerator -
Numerator = -11 -4
We will perform addition along with keeping the answer with negative sign
Numerator = -15
Solving denominator -
Denominator = 12 - (-9)
Here two negative signs are present, so we will perform addition. Also, the sign of result will also be positive
Denominator = 12 + 9
Performing addition
Denominator = 21
Now, representing in fraction form to simplify the expression -
Expression = -15/21
Dividing the fraction by 3
Expression = -5/7
Hence, the simplification of given expression is -5/7.
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how to solve and graph |p-4|< or = to 11
The required solution is p≤15.
It is required to find the solution.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given :
The given inequality are
|p-4|≤ 11
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
By open a modulus we get,
p-4≤11
p≤11+4
p≤15
All the number less or equal to 15 will satisfy the given inequality.
Therefore, the required solution is p≤15.
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One reason a sample may fail to represent the population of interest is _____.
a. population proportion
b. measurement error
c. statistical inference
One reason a sample may fail to represent the population of interest is sampling error.
A sample is often used in the place of a very large population to carry out studies. Also a sample can be selected in multiple ways. Some of the systems used for this process are random sampling and systematic samplings.
But if there is an error in the selection of the sample, it may not represent the population properly. This error is referred as sampling error. sampling error affects the credibility of the sample selected nd thus affects the population interest in studies.
Sampling error is occurs when a statistician fails to select the appropriate sample representing the whole population. So it is basically a statistical error.
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1.A diameter of a sphere is measured to be 5.36 in. Find the radius of the spheres centimetres
2. The speed of light is about 3.00×10⁸m/s. Convert this figure to miles per hour
3. A certain car has a fuel efficiency of 25.0 miles per gallon. Express this efficiency in kilometers per liter
Answer:
Question 1:
[tex]{ \tt{1 \: in = 2.54 \: cm}} \\ { \tt{5.36 \: in = (5.36 \times 2.54) \: cm}} \\ { \tt{ diameter= 13.6144 \: cm}} \\ \\ { \tt{radius = ( \frac{1}{2} \times 13.6144)}} \\ \\ { \tt{radius = 6.8072 \: cm}}[/tex]
Question 2:
[tex]{ \tt{ \frac{3.00 \times {10}^{8} \: m}{1 \: s} = \frac{( \frac{1}{1609}) \times 3.00 \times {10}^{8} \: mi }{( \frac{1}{3600} ) \: h} }} \\ \\ = { \tt{(1.86 \times {10}^{5}) \times 3600 }} \\ \\ = { \tt{ 6.71 \times {10}^{8} \: mi {h}^{ - 1} }}[/tex]
Question 3;
[tex]{ \tt{ \frac{25.0 \: mi}{1 \: } = \frac{1.609 \times 25.0 \: km}{3.785 \: l} }} \\ \\ { \tt{ = 10.627 \: km {l}^{ - 1} }}[/tex]
HELP ME ASP YOULL GET BRAINLEST SHOW UR WORK not worded I won’t understand
Answer:
x = 2
Step-by-step explanation:
-8x + 10 = -6(x - 1)
-8x + 10 = -6x + 6
+6x +6x
-2x + 10 = 6
-10 -10
-2x = -4
÷-2 ÷-2
x = 2
I hope this helps!
Probability and statistics question any help is appreciated!
Answer:
75.92
Step-by-step explanation:
add 186+59=245
186 is in state so 186/245=75.92
here you gooooooo :))) hope you get it right
Which is a terminating decimal?
Answer:
0.125
Step-by-step explanation:
It has not been bar notated unlike all of the other ones. Bar notation is used for repeating decimals. So therefore if it has not been bar notated it is not a repeating decimal, it is a terminating decimal. Meaning it ends at the last digit and does not go any further.
Hope this helps!
Points!!!!!!!!!!!!!!!!
Answer:
correct
Step-by-step explanation:
I need help with 1-5
Step-by-step explanation:
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