Answer: 10=-4+14
Step-by-step explanation:
Find the y-intercept(b) y=Mx+b m=slope.
-1x4
-4
Take -4 to the other side
10+4=b
14=b
10=-4+14
Hope I helped
A geometric sequence has a common ratio of 2 and the 12th term is −12,288.
What is the explicit rule that describes this sequence?
Answer:
Step-by-step explanation:
[tex]\boxed {b_n=b_1q^{n-1}}[/tex]
[tex]b_{12}=-12,288\ \ \ \ \ q=2\ \ \ \ n=12[/tex]
[tex]-12,288=b_1(2^{12-1})\\\\-12,288=b_1(2^{11})\\\\-12,288=b_1(2048)[/tex]
Divide both parts of the equation by 2048:
[tex]-0.006=b_1[/tex]
[tex]Thus,\ b_1=-0.006[/tex]
given 37 times 102 = 3774 work out 37 times 103
Answer:
3811
Step-by-step explanation:
37X100= 3700
37X3=111
so 3700+ 111= 3811
Please help!! Do the ordered pairs represent a function?
For the given mapping diagram, we have that: C. Yes (one y-value for each x-value) it represent a function.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined and these include the following: {1, 2, 3, 4}.
In conclusion, we can reasonably infer and logically deduce that this mapping diagram represent a function because it has the different input values (x-values) for different output values (y-values).
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Find the Domain and range.Also,state whether each set of ordered pairs ia a function or not
{(0,8),(7,-4),(5,-7),(-2,3),(7,0)}
Domain:_______
Range:_______
Funtion or not:_______
draw two lines in the following trapezoid to create three equilateral triangles
A quadrilateral with at least one pair of parallel sides is called, in American and Canadian English, a trapezoid. In British and other forms of English, a (North American) trapezoid is called a trapezium. The transposition of these two terms was a result of an error in Charles Hutton's mathematical dictionary.
What is a trapezoid?In Euclidean geometry, a trapezoid is a convex quadrilateral by definition. The bases of the trapezoid are the parallel sides. If the remaining two sides are parallel, they are referred to as the legs (or lateral sides); if not, the trapezoid is a parallelogram, and there are two pairs of bases. As opposed to the particular examples below, a scalene trapezoid is a trapezoid without equal sides.
The Greek mathematician Euclid identified five different quadrilateral shapes, of which four had two sets of parallel sides (the square, rectangle, rhombus, and rhomboid in English) and one did not (a trapezia, meaning "a table," which comes from "four" and means "a foot; end, boundary, edge").
In his commentary on the first book of Euclid's Elements, Proclus (412–485) developed two varieties of trapezia: one pair of parallel sides, or a trapezium (v), divided into isosceles (equal legs), and scalene (unequal) Similar to how cuboid and rhomboid both mean "resembles," trapezia with no parallel sides is a trapezoid, trapezoeidé, or literally "trapezium-like."
English followed Proclus's arrangement until the late 18th century, when a prominent mathematical lexicon produced by Charles Hutton in 1795 endorsed a transposition of the terms without providing an explanation. Although this error was fixed in British English around 1875, it remained in American English till the present..
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Loretta is paid in euros. She is checking her tax bill for last year. The tax rates last year were as follows: • No tax on the first €3500 of earnings • Earnings in excess of €3500 and up to €10 500: taxed at a rate of 25% • Earnings above €10 500: taxed at a rate of 35% Last year, Loretta’s total earnings before tax were €34 500. How much tax did Loretta pay in total? You must show all your working.
Loretta would not have paid any taxes last year because her total earnings were below the €8625 threshold.
What is Percentage ?
A Percentage is a figure or ratio that is stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
The total amount paid in tax from Cary's last year earning is £9640
Total earning last year = €34 500
Tax on earnings :
First €3500 = 0%
€3500 to €10 500 = 25%
Earnings above €10 500 = 35%
Therefore, tax paid on €34 500 :
Tax percentage × amount earned
First €10 500 earned = (25% × 10,500) = 2625
Excess above €10 500 = (34500 - 10500) = 24000
25% × 24000 = 6000
Therefore, the total tax amount = €(2625 + 6000) = €8625
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2-|6+12x|>-28
Solve with work please. ;)
The inequality expression given as 2 - |6 + 12x| > -28 has a solution of -3 < x < 2
How to solve the inequality expression?From the question, the inequality is given as
2-|6+12x|>-28
Rewrite properly as
2 - |6 + 12x| > -28
Subtract 2 from both sides
- |6 + 12x| > -30
Divide both sides by -1
|6 + 12x| < 30
Remove the absolute bracket
So, we have the following representation
-30 < 6 + 12x < 30
Add -6 to all sides of the inequality
So, we have
-36 < 12x < 24
Multiply through by 1/12
So, we have
-3 < x < 2
Hence, the solution to the expression is -3 < x < 2
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AOC and BOD are diameters of a circle, centre O,
Prove that triangle ABD and triangle DCA are congruent by RHS.
Answer:
ABC
Step-by-step explanation:
BECAUSE THEY ARE OPPOSITE
does anybody know what A equals ? this is for geometry
In the picture there is a straight line which has a point where the 2 lines intersect. The angles are 90°, 30° and a is 60°.
Given that,
In the picture there is a straight line which has a point where the 2 lines intersect.
The angles are 90° and 30°.
We have to find the angle a.
A straight angle in geometry is an angle with a vertex point that is at 180 degrees. In essence, it creates a straight line with sides that face away from the vertex. "Flat angles" is another name for it.
So, we get,
90°+30°+a=180°
a=180°-90°-30°
a=180°-120°
a=60°
Therefore, the angle a is 60°.
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Aera of paraellgrams
Find the value of x. I || m the diagram is not to scale
Answer:
32
Step-by-step explanation:
Since l and m are parallel, the value of 2x is equal to 64.
64/2 = 32
i need help on this please
Based on the numbers to be divided of 1,060 ÷ 33 to get a quotient, the mixed number in the simplest form is 32¹/₂ .
How to find the quotient?Finding the quotient of two numbers means that one of the numbers would have to divide the other number.
The quotient in this case is:
= 1,060 ÷ 33
= 32.1212
To convert this to mixed number, divide the decimal portion by the relevant power of 10:
= 32 + 1212/10,000
= 32 + 4/32
= 32 + 1/8
= 32¹/₂
In conclusion, the quotient of 1,060 ÷ 33 is 32¹/₂ .
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3. Maria gave David x cards, gave Tina two
more cards than she gave David, and
gave Samuel five fewer cards than she
ovalno
gave Tina. In terms x, how many cards
did Maria give Tina, David, and Samuel
all together?
Answer:
4x-5
Step-by-step explanation:
Find the area: A trapezoid with a top base length of 6 cm, a bottom base length of 12 cm, and a height of 5cm
Answer:
360
Step-by-step explanation:
multiple all together in an ascending ordersomeone please help me. Susan owns 70 shares of a certain stock. Yesterday the value of each share went up by 10 dollars. What was the total change in value of her shares?
Answer:
700 is your answer i am pretty sure. If not i am super sorry
Answer:
630
Step-by-step explanation:
If she owns 70 and each went up by 10 then 70*10=700
700-70=630
I am sure it is correct but if not,sory if it is wrong
Mr. Mateo ordered several copies of a book that weighs Three-fifths of a pound each along with some other school supplies for his classroom. If the total weight of the box that contains the supplies was 10 pounds, what is the maximum number of copies of the book that Mr. Mateo could have ordered?
Line a is parallel to line b. Which statement about lines a and b is true?
Answer:
Line a and line b have the same slope.
Between 10 P.M. and 7:45 A.M., the water level in a swimming pool decreased by
3/8 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
[tex]\frac{1}{12}[/tex] inch per hour
Hope this helps you!
What amount of a 60% acid solution must be mixed with a 45% solution to produce 600 mL of a 50% solution?
Step-by-step explanation:
x = ml of the 60% solution
y = ml of the 45% solution
x + y = 600
and therefore
x = 600 - y
0.6x + 0.45y = 0.5×600
we use the above identity in this equation :
0.6(600 - y) + 0.45y = 300
360 - 0.6y + 0.45y = 300
60 - 0.15y = 0
60 = 0.15y
y = 400 ml
x = 600 - y = 600 - 400 = 200 ml
the weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. what is the sample variance? a. 6.92 b. 4.80 c. 1.96 d. 2.33 group of answer choices b
When the weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6, the sample variance is D. 2.33.
How to calculate the variance?It should be noted that in Mathematics, the variance simply means the average squared deviation of the mean.
From the information, the weights of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. Therefore, the sample variance will be illustrated thus:
N = number =7
Sum of the numbers = 28
Mean = 28 / 7 = 4
Sample variance will be:
= (4 - 4)² + (2 - 4)² + (5 -4)² + (4 - 4)² +(5 - 4)² +(2 -4)² + (6 - 5)²
= 14 / 6
= 2.33
Therefore, the variance is 2.33.
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What do you think?
Which of these students do you think evaluated this expression correctly? Explain your reasoning!
Hannah is correct (48)
Rachel is correct (8)
Madison is correct (3)
Elizabeth is correct (26)
Elizabeth is correct in evaluating the expression.
All the students are evaluating the expression
48÷4×2+2
For evaluating such an expression the order of operations need to be used.
The order of operations are:
Parenthesis ExponentsDivision or Multiplication [whichever comes first in the equation]Addition or Subtraction [whichever comes first in the equation]So the expression 48÷4×2+2 is solved as:
48÷4×2+2
= 12 × 2 + 2
= 24 + 2
= 26
So 26 is the right answer and it is given by Elizabeth.
So Elizabeth is correct(26).
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I need help pleaseeee
Answer:
a: -$4
b:45
Step-by-step explanation:
First, you just divide the total amount lost by the number of shares. because it is a loss it's going to be a negative number. For the second one, you want the total so you are going to multiply 45 by 9 and because it's an increase, the answer is a positive number.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Question \#1 reads \boxed{\downarrow}}[/tex]
[tex]\large\text{Ivanna owns \underline{6 shares} of a certain stock. Yesterday the total value of}\\\large\text{her shares went down by \underline{24 dollars}. \boxed{\text{What was the change in value}}}\\\large\text{\boxed{\text{for each share}} ?}[/tex]
[tex]\huge\textsf{What should the equation look like?}[/tex]
[tex]\mathsf{\dfrac{24}{6} = change\ in\ value\ for\ each \ share}}[/tex]
[tex]\huge\textsf{How are we going to solve for the answer?}[/tex]
[tex]\mathsf{\dfrac{24\ dollars}{6\ certain \ stock} = change\ in\ value\ for\ each \ share}}[/tex]
[tex]\mathsf{24\ dollars \ \div\ 6\ certain\ stock\ = change\ in\ value\ for\ each \ share}[/tex]
[tex]\mathsf{4 = change\ in\ value\ for\ each \ share}}[/tex]
[tex]\huge\textsf{So, what s the answer to the question?}[/tex]
[tex]\large\text{Therefore, your answer should be: \boxed{\mathsf{4\ dollars}}}\large\checkmark[/tex]
[tex]\huge\textsf{Question \#2 reads \boxed{\downarrow}}[/tex]
[tex]\large\text{A private club grew by \underline{9 members} each week for \underline{45 weeks}. \boxed{\text {What}}}\\\large\boxed{\text{was the total change in the clubs size}} \large\text{ ?}}[/tex]
[tex]\huge\textsf{What should the equation look like?}[/tex]
[tex]\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}[/tex]
[tex]\huge\textsf{How are we going to solve for the answer?}[/tex]
[tex]\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}[/tex]
[tex]\mathsf{45\ weeks\ \div \ 9\ members = total\ change\ in\ the\ clubs\ size}[/tex]
[tex]\mathsf{5 = total\ change\ in\ the\ clubs\ size}[/tex]
[tex]\huge\textsf{So, what s the answer to the question?}[/tex]
[tex]\large\text{Therefore, your answer should be: \boxed{\mathsf{5\ members}}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
if 20 is the mean of 18,23,x,22, and 20 find the value of x
Answer:
x = 17
Step-by-step explanation:
Mean of a set of data values = Sum of the data values ÷ number of data values
Here we have data:
18,23,x,22, and 20
Sum = 18 + 23 + x + 22 + 20 = 83 + x
Number of data points = 5
Mean = (83 + x) / 5 = 20 (given)
Multiplying both sides by 5 gives
83 + x = 20 x 5
83 + x = 100
Subtract 83 from both sides to give
x = 100 -83 = 17
x = 17
Answer:
x = 17Step-by-step explanation:
if 20 is the mean of 18,23,x,22, and 20 find the value of x
(18 + 23 + x + 22 + 20) : 5 = 20
18 + 23 + x + 22 + 20 = 20 * 5
83 + x = 100
x = 100 - 83
x = 17
------------------------
check
( 18 + 23 + 17 + 22 + 20) : 5 =
100 : 5 =
20
the answer is good
James buys a watch that was reduced by 15% in a sale.
At the counter he paid £221
How much did the watch cost originally?
Remember to include units in your answer.
Answer:
The original price of the watch was 260pounds
Step-by-step explanation:
let the reduced price be x
(100%-15%)/100 of x=221
85x/100=221
85x=22100
there fore x=260pounds
Brayden runs a farm stand that sells raspberries and grapes. Yesterday Brayden sold 44 pounds of raspberries and 43 pounds of grapes for a total revenue of $217. Today he sold 45 pounds of raspberries and 18 pounds of grapes for a total revenue of $144. Write a system of equations that could be used to determine the price of each pound of raspberries and the price of each pound of grapes. Define the variables that you use to write the system.
The system of equations that could be used to determine the price of each pound of raspberries and the price of each pound of grapes is: 44 x + 43 y = 217 , 45x + 18y = 144 . Each pound of peaches cost $2 and each pound of grapes cost $3
Equationx = price of each pound of peaches
y = price of each pound of grapes.
Given that yesterday, he sold 44 pounds of peaches and 43 pounds of grapes for a total revenue of $217
So 44 x + 43 y = 217 be equation 1.
Also given that today he sold 45 pounds of peaches and 18 pounds of grapes for a total revenue of $144.
So 45x + 18y = 144 equation 2.
Multiplying equation 1 with 18 gives us,
792x +774y = 3906
Multiplying equation 2 with 43 gives us,
1935x+774y = 6192
Solving these,
792x +774y = 3906
1935x+774y = 6192
---------------------------------------------
-1143 x=- 2286
x = 2286/ 1143
x = 2
Plug this value of x in equation 1 and solve for y, to get,
44 x + 43 y = 217
44 (2) + 43 y = 217
43 y = 217 − 88
43 y =129
y = 129/43
y = 3
Therefore each pound of peaches cost $2 and each pound of grapes cost $3
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Drag each label to the correct location in the equation. Not all tiles will be used.
Complete the steps for converting 100 yards to meters.
(1 yard = 3 feet, 1 foot = 12 inch, 1 inch = 2.54 centimeter, 100 centimeter = 1 meter)
meter
12
inch
91.44
3
2.54
Each label should be dragged to the correct location in the equation as follows:
100 yards/1 × (3) feet/1 yards × (12) inch/1 foot × (2.54) cm/1 inch × 1 (meter)/100 cm = (91.44) meter
What is a conversion factor?A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.
Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.
Conversion:
1 yard = 0.9144 meter
100 yards = X meters
Cross-multiplying, we have:
X = 0.9144 × 100
X = 91.44 meters.
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if ( e, f) = (7,2) and (g,h) = (11,5), find the value of the following expression
h-f
__
g-e
Answer: (7,11)
Step-by-step explanation:
9. Raquel estimated 504,900,000,000 as 3 x 10^8. What error did she
make? Explain.
Answer:
5.049 x 10^11
She'd done the entire equation wrong
3 x 10^8 would be 300000000 when instead 10 should be to the power of 11 and 3 should be 5.049
Step-by-step explanation:
To rewrite something in scientific notation you have to group the numbers that aren't zero (5049) and convert it into a decimal (5.049)
(Decimals for scientific notations will ALWAYS have one number in the 1st digit, no matter what)
Then we see what we have to multiply our decimal to make it into our original number. We count the numbers in the decimal and the rest of our zeros (8+3=11)
5.049 x 10^11 = 504900000000
11.2 in.
13.3 in.-
3.1 in.
Answer:
It is trapezium.
Step-by-step explanation:
1÷2×h[b1+b2]
A square is cut into 4 identical triangles each triangle has an area of 1 square unit what is the side length of the square
The side length of the square is 2 units.
What is the area of a square?
The area of square is equal to the square of its side. Mathematically -
Area = (side)²
Given is a square which is cut into 4 identical triangles such that each triangle has an area of 1 square unit.
Assume that the side of the square is 'x' units. Then we can say that -
The area of square of side 'x' units = 4 x area of an individual triangle.
Mathematically -
x² = 4 x 1
x² = 4
x = √4
x = ±2
Area cannot be negative, then we can write -
x = 2 units
Therefore, the side length of the square is 2 units.
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