Answer:
I believe it would be x=-5
Step-by-step explanation:
..
Simplify 16x+34(12x−4)
Answer:
424x - 136
Step-by-step explanation:
16x + 34 ( 12x - 4 )
= 16x + 408x - 136
= 424x - 136
How many pieces of 2/3 yard can I cut if I have 6 1/3 yards of material
Answer:
9
Step-by-step explanation:
6 1/3 yards of material is 19/3 yards total. 6 yards broken into thirds is 18/3. 18 divided by 2 is 9. There are 9 total pieces to cut, and an extra 1/3 left over
What is the area of a square that has a side length of (4x+5)?
How do you compare two slopes on a graph?
Two slopes can be compared on a graph by analyzing the steepness of the lines and their direction (positive or negative).
The steepness of a line on a graph is determined by its slope, which is the ratio of the change in y to the change in x (rise over run). A steep line has a large slope, meaning that for a small change in x, there is a large change in y. A shallow line has a small slope, meaning that for a small change in x, there is a small change in y. To compare two slopes, one can compare the steepness of the lines by comparing the absolute value of the slopes.
If one line has a larger absolute value than the other, it is steeper. Additionally, one can also compare the direction of the slope, which is determined by the sign of the slope. A positive slope indicates that the line is increasing and a negative slope indicates that the line is decreasing. By comparing the steepness and direction of the slopes, one can determine whether the two lines are parallel or not, and whether they are going in the same direction or not.
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Find all the missing elements:
B
40°
a
120°
A
8
С
C = [?]° a = [ ] C = [ ]
Enter
Answer:
a=10.8; c=4.3
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
Two of the angles are given as 40 deg and 120 deg.
Subtract the measures of both from the sum to get the last angle:
180-40-120=20; ∠C=20°
Using Law of Sines: [tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
[tex]\frac{a}{sin120}=\frac{8}{sin40}; a=\frac{8*sin120}{sin40}; a=10.77837084[/tex]
[tex]\frac{c}{sin20}=\frac{8}{sin40}; a=\frac{8*sin20}{sin40}; c=4.25671109[/tex]
Answer:
c=20 a=10.8 c=4.3
Step-by-step explanation:
Please Help! You Dont Have To do the Bottom Questions Just The Top!
A type of medicine is given in a 100-milligram dosage. The medicine comes in 14-gram bottles. How many 100-milligram dosages are in a bottle?
Answer:
140 doses
Step-by-step explanation:
1 gram = 1000 milligrams
1 gram = 10 doses
10*14 = 140
Using a number line, find both the intersection and the union of the following
intervals:
[1, 5] and (0,8]
pls help !
Answer:
The union of the intervals is (0,8]
The intersection of the intervals is [1,5]
Hope this helped!
maggie has a rectangular box with a length of 6 1/2 of 9 inches and hieght of 3 1/2 inches
what is the volume of the box
V = & x w x h
V = 6 1/2 x 9 x 3 1/2
V = 204 3/4
So answer is 204 3
4
Write two equations that can be solved using the double 7+7
Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.
What is Doubles plus ?When we add two of the same number, we add using the “doubles fact”. For example, 1 + 1 and 2 + 2 are both doubles facts. Look at the example below: 4 + 4 = 8 is a doubles fact. Doubles fact can help us know other additional strategies like doubles plus one
A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself we say that the number is doubled
The sum of 7 + 7 can be determined by using doubles plus one fact as:
Simply add 1 in 7 + 7 to get the result required.
Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.
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Help on this which one is the answer???:((:))
Answer:
A
Step-by-step explanation:
y = 130(0.45)x
What is the growth factor, decay factor, or slope?
What is the initial amount?
Blank 1:
Blank 2:
Answer:
initial amount is 130
decaying at 55%
Step-by-step explanation:
Assume that lines which appear tangent are tangent
Answer:
B
Step-by-step explanation:
Remark
This is a monster when you first come across it, but later on you will not be fooled.
Construction
Draw a line from E to the center of the circle. Label the center of the circle OOE and OF are both radii. They form the central angle of the ArcEFSolution
Find the value of Arc EF
The value of Arc EF = 360 - 244 = 116
The value of <FOE also = 116. (The arc and the central angle are equal.)
ΔFOE = 116 degrees See above statement
ΔFOE is isosceles Two of it's sides are radii.
The two base angles can be solved. Call each one x
2x + 116 = 180 All triangles have 180 degrees
-116 -116 Subtract 116 from both sides
2x = 64 Divide by 2
x = 32 <EFO = 32
<EFO = 90 Where the tangent meets the radius forms a 90o angle.
<EFO + GFE = 90
32 + GFE =90
GFE = 90 - 32
GFE = 58
Answer: B
Answer:
b
Step-by-step explanation:
360-244/2= 116/2=58 or b
What are the 4 steps in solving simple problems in mathematics?
The 4 steps in solving simple problems in mathematics is explained below.
According to the author called Polya created his famous four-step process for problem solving that one is used all over to aid people in problem solving
The first and foremost Step is to understand the problem which includes identification of the unknowns and figure out what the problem tells you is important and then we have to identify any information that is irrelevant to the problem.
Then the nest step is to Devise a plan which means that Look for a pattern and then by using it we have to make a table, diagram or chart and then write an equation.
Then we have to move onto the next steps that is to carry out the plan which means the process of solving the question.
Then the final step is to Look back problem that is none other than check and interpret its reliability of the solution
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Need this question quick 20 points
On solving the provided question we can say that the rectangular form of the equation is y = -1
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Ф = [tex]\pi[/tex]/2
y = - 1
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I) if y varies directly as x and inversely as the square root of z, and y = 1/6 when x = 20 and z = 6, determine y when x = 14 and z = 5
Answer: Since y varies directly as x and inversely as the square root of z, we can write the following equation:
y = kx/(sqrt(z)), where k is a constant.
We can find the value of k by substituting the known values into the equation. We get:
1/6 = k*20/sqrt(6)
k = 1/240
Substituting this value of k into the original equation, we get:
y = (1/240)x/(sqrt(z))
Substituting the values x = 14 and z = 5 into this equation, we get:
y = (1/240)(14)/(sqrt(5)) = 7/120 sqrt(5) ≈ 0.22
Step-by-step explanation:
Radicals
How do I Simplify
(4√5-3)(√5-2)
Answer:
26 - 11√5
Step-by-step explanation:
(4√5-3)(√5-2)
= 4√5 (√5-2) -3 (√5-2)
= 4√5 √5 + 4√5 ⋅ -2 -3 (√5-2)
= 4√5 √5 + 4√5 ⋅ -2 -3√5 -3 ⋅ -2
= 26 - 11√5
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Carla Arslanian is 55 years old. She wants to purchase a $100,000, 10 year term life insurance policy. The premium per $1000 is $8.95. What is her annual premium?
Answer:
$863
Step-by-step explanation:
Given: Carla Arslanian is 55 years old. She wants to purchase a $100,000, 10-year term life insurance policy.
To find: What is her annual premium?
Solution: Insurance companies use mathematical calculation and statistics to calculate the number of insurance premiums they charge their clients.
Annual premium = face value x rate $100
Annual premium (for building) = $100,000 ÷ $1000 x 10 = $1000.
The sum of the annual premium is $863.
At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Choose three pilots at random to feature on a training brochure. Find the probability that there will be
Probability measures how probable something is to occur.
What the probability?Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, if we are unclear of how an event will turn out. Statistics is the study of occurrences subject to probability.
Probability is a measure of how likely something is to happen.
18 Marines, 10 Navy personnel, and 3 Coast Guard troops received their wings at a recent naval aviation school graduation.
Total: 18 + 10 + 3 = 31
a. 1 of each. P = C 18 * C 10 * C 3 / C 3 31
= (18 * 10 * 3) / 4495 = 0.120
b: 0 members of the navy = (C_{21} ^ 3)/(C_{21} ^ 3) = 1330/4495 = 0.296
c: 3 Marines.
p = (G ^ 3)/(C_{31} ^ 3) = (8 + 6)/4495 = 0.182
The complete question is
At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 3 members of the Coast Guard got their wings. Choose three pilots at random to feature on a training brochure. Find the probability that there will be
a.1 of each 0.120 b. members of the Navy 0.296 c. Marines 0.182.
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Help plz! Show work also!! I need help ASAP!!
Step-by-step explanation:
13x-3= 3x+2 +55 (exterior angle is equal to the sum of 2 opposite interior angles)
or, 13x-3x=57+3
or,10x=60
x=60/10
x=6
FAB =13x-3
=13*6-3
=75
A website lists homes for sale in a suburban town. The site provides information including neighborhood, selling price, number of bedrooms, and whether the home has a garage. What are the individuals in this setting?
homes
neighborhoods
selling prices
bedrooms
answer is homes
Based on the description above, the individuals in this setting is option A: homes.
Whys the setting home?The website lists homes for sale in a suburban town and provides information such as neighborhood, selling price, number of bedrooms, and whether the home has a garage.
In this case each house is an instance or a data point of a "home" object, these objects have different attributes or features like neighborhood, selling price, number of bedrooms and garage, these attributes are used to describe the characteristics of the home, they are also called features.
Therefore, each home is an individual unit being sold on the market. Neighborhoods, selling prices, and bedrooms are attributes or characteristics of the homes, and they help provide more information about each individual home being listed.
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A cylindrical aluminum soda can is to hold 12 ounces of tasty beverage. What are the dimensions of the can that will minimize the amount of aluminum used
A cylindrical can with volume 355 ml will use the least aluminum if its radius is about 3.84 cm and its height is about 7.67 cm.
What is a reasonable approximation for the volume of a soda can?The soda cans are advertised as having a volume of 12 ounces, or 355 milliliters. The remaining head space is just under 25 ml. The can weighs about 13 g by itself. 39 g, or about 11%, of sugar, make up 355 ml of Coke.
How much pressure does a 12 oz. soda can typically hold?When canned at 4 °C and stored at 20 °C, 12 oz. soda cans typically have pressures of about 120 kPa and 250 kPa, respectively. A 7UP® can that has been refrigerated contains 210 kPa of pressure. Pepsi-Cola®, on the other hand, has 276 kPa at about 16 °C.
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How do you write an x-intercept as a point?
The X-intercept is the point where the line crosses the x-axis. This happens where the Y is equals to zero.
The point slope form of a line is an equation of the line that takes on the form y - y1 = m(x - x1). In this equation, m is the slope of the line, and (x1, y1) is a point on the line. The x-intercept of a line is the x-coordinate of the point where the line crosses the x-axis. This always happens at the point where y is equal to 0. Therefore, we find the x-intercept of a line in point-slope form by plugging y = 0 into the equation and then solving for x. The point-slope formula is composed of a specific point of coordinates and a slope indicating a type of change over a given variable, such as distance over time. It is said to be as the x-coordinate of a point where a line, curve, or surface intersects the x-axis.
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In the diagram below, AB and BC are tangent to 0. What is the measure of ADC?
A.252°
B.180°
C.216°
D.144°
Answer:
Step-by-step explanation:
It’s A
The measure of the arc ADC is 252°
What is an arc?The arc of a circle is defined as the part or segment of the circumference of a circle.
Given that, a circle O, with tangents AB and BC, the measure of arc AC is 108°, the measure of angle ABC is 72°, we need to find the measure of arc ADC,
According to the definition of circle,
We have,
m ∠ABC = (m arc ADC + m arc ADC) / 2
72° = (m arc ADC - 108°) / 2
144° = m arc ADC - 108°
m arc ADC = 144° + 108°
m arc ADC = 252°
Hence the measure of the arc ADC is 252°
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Como se dice 1.053.507 en letras?
un millon cincuenta y tres mil quinientos siete
Identify similarities and differences in finding the volume of cylinders, cones, and spheres.
The volume of the cone is one third the volume of the cylinder.
The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter
How to illustrate the information?Similar to a prism, a cylinder has two bases, but they are circles rather than polygons. A cylinder's sides are also curved rather than flat. A cone has a vertex that is not on the base and a single circular base. The sphere is a figure in space with equal distances between each of its points and the center.
The cone's volume is one-third that of the cylinder. A sphere's volume is 2/3 that of a cylinder with the same radius, and its height is equal to its diameter.
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Find the Surface area and volume of the larger figure:
scale factor = 1:3
SA = 81 cm^2
V = 135 cm^3
Plz help
Please answer with explanation
Answer:
m = 8
Step-by-step explanation:
Expand the left side
Each term in the second factor is multiplied by each term in the first factor
7a²(4a² - 1) + 2a(4a² - 1) - 3(4a² - 1) ← distribute parenthesis
= 28[tex]a^{4}[/tex] - 7a² + 8a³ - 2a - 12a² + 3 ← collect like terms
= 28[tex]a^{4}[/tex] + 8a³ - 19a² - 2a + 3
Comparing the coefficients of like terms with those on the right , then
m = 8
hellppppp gangyy nnn
The correct answer is option c as DE/AE=BC/AC
What is the slope of the line?In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx. Where “m” is the slope of a line. So, tan θ to be the slope of a line.
Given here ΔADE ≈ΔABC and thus DE/AE=BC/AC
but tanθ = DE/AE=BC/AC where tan θ is the slope of the line thus both the lines have identical slopes.
Hence, The correct answer is option c) ΔADE ≈ΔABC thus DE/AE=BC/AC Therefore the slope of AD is the same as the slope of AB
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How do you find the unknown part of a right triangle?
To find the unknown part of a right triangle, you can use the Pythagorean theorem or the trigonometric ratios.
A right triangle is a triangle that has one angle measuring exactly 90 degrees, this angle is called the right angle.
To find the unknown part of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (the hypotenuse). The formula is:
a² + b² = c²
Where c is the length of the hypotenuse and a and b are the lengths of the legs.
You can use this theorem to find the length of a missing side, if you know the length of the other two sides. For example, if you know the lengths of the two legs (a and b) and you need to find the length of the hypotenuse (c), you can use the formula:
c = √(a² + b²)
Alternatively, if you know the length of the hypotenuse (c) and one leg (a), you can use the formula to find the length of the other leg (b):
b = √(c² - a²)
Another way to find the unknown part of a right triangle is the use of trigonometric ratios. As you know, in a right triangle, there are three main ratios: sine, cosine, and tangent. These ratios are defined as follows:
Sin(A) = a/c
Cos(A) = b/c
Tan(A) = a/b
Where A is one of the acute angles of the triangle, and a,b,c are the sides of the triangle. By using the known side and the known angle you could find the unknown side.
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