Answer:
68°
Step-by-step explanation:
Angle IJK is 112
Opposite angles of a quadrilateral inscribed in a circle add up to 180°
So
m<IHK = 180-112
m<IHK = 68°
From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches. From Thursday to Friday, the depth changed by half as much. What is the change in the depth of the snowdrift from Thursday to Friday?
Answer:
From Thursday to Friday, the change in the depth was 19/16 inches
or as a mixed number, 1 3/16 inches
Step-by-step explanation:
From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches
now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8
so, 2 3/8 = 19/8 inches = depth change from monday to thursday
From Thursday to Friday, the depth changed by half as much,
so,
depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)
depth change from thursday to friday = 1/2(19/8) = 19/16 inches
For the line that passes through the points (0, 2) and (-6, 0), the x-intercept is and the y-intercept is
Answer:
The x-intercept is (-6, 0) and the y-intercept is (0, 2)
Step-by-step explanation:
We are already given points where x = 0 and y = 0
The x-intercept is when y = 0
The y-intercept is when x = 0
So the x-intercept is (-6, 0)
and the y-intercept is (0, 2)
4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
Answer:
K5.60.
Step-by-step explanation:
Which car will travel the greatest distance (in miles) per gallon?
A. The total distance that a Toyota Prius can travel in miles (M) given any gallons of gas (g) is given by M
= 35g.
B. A Toyota Sienna used 2.5 gallons to travel 55 miles.
C AND D ATTACHED
BEST ANSWER GETS BRAINLIEST
Neal invested $120,000 in stocks and bonds. He earned 18% on his stock investments and 12% on his bond investments. If Neal's combined profits on both types of investments were $17,400, how much did he invest in stocks?
Answer:
$50,000
Step-by-step explanation:
The given relations can be used to write and solve an equation for the amount invested in stocks.
SetupLet s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...
0.18s +0.12(120,000 -s) = 17,400
SolutionSimplifying the equation, we have ...
0.06s +14,400 = 17,400
0.06s = 3000 . . . . . . . . . . subtract 14,400
s = 50,000 . . . . . . . . . . . . divide by 0.06
Neal invested $50,000 in stocks.
__
Additional comment
The amount invested in bonds was 70,000. The profit earned was ...
0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400
rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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Simplify: −2[−3(x − 2y) + 4y].
thanks!
Answer:
6x − 20y
Step-by-step explanation:
−2[−3(x − 2y) + 4y] =
= −2[−3x + 6y + 4y]
= −2[−3x + 10y]
= 6x − 20y
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS:
Parenthesis
Exponent
Multiplication
Addition
Subtraction
Step 1
−2[−3(x − 2y) + 4y] Equation
Step 2
-2[-3(x -2y) + 4y] simplify
(-2)(-3(x-2y))+(-2)(4y)
Step 3
(-2)(-3(x-2y))+(-2)(4y) Add,Subtract And Remove parenthesis
6x-12y-8y
answer
6x-20y
Pleas someone help me with this it's my last question
Answer:
we need to find out if the following get x = 2 as a final product
-2(x-4) = 4
-2x + 8 = 4
-2x = -4
x = 2
so it is a solution
26/x = 13
26 = 13x
x = 26/13
x = 2
so it’s a solution
-3.8x = -7.4
x = 7.4/3.8 ≠ 2
you get ≈ 1.95
so it’s not a solution
4(x-1) - 3(x-2) = -8
4x - 4 - 3x + 6 = -8
x + 2 = -8
x = -10
so it’s not a solution
Answer:
x= 2 is the solution of first two equations.
Step-by-step explanation:
0.54478x52.11055.6= i need the sum
Answer: the correct answer is 28.32272269768
Baby shark uwu
Do do do do do do do 28.388?
Can anyone help me with #85?
Part (a)
\(\overline{x}=\frac{\sum x}{n} \\ \\ \boxed{\sum x=n\overline{x}}\)
Part (b)
\(\sum x^2-2\overline{x}(n\overline{x})+n\overline{x}^2 \\ \\ =\sum x^2 -2n\overline{x}^2+n\overline{x}^2 \\ \\ =\boxed{\sum x^2-n\overline{x}^2}\)
Select the correct answer from each drop-down menu.
A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is 9 inches.
9 in i
13 in
Which shape best models the package, and what is the approximate surface area of the package?
The best model for the package is a
The approximate surface area is
square inches.
The approximate surface area of the package is approximately 245.05 square inches.
The best model for the package is a cylinder.
To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height.
The area of the circular base can be calculated using the formula:
Area of Base = \(πr^2\)
Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.
Using the given height of 13 inches, we can now calculate the surface area:
Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches
Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches
To find the total surface area, we add the lateral surface area and the area of the base:
Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches
Therefore, the approximate surface area of the package is approximately 245.05 square inches.
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Find the perimeter of the rectangle
= 2(2 + 3) units
= 2 × 5 units
= 10 units.
Answer:The perimeter of the rectangle is 10 units.
Hope it helps.
Do comment if you have any query.
Which standard form of the equation of the hyperbola has vertices at (12, 0) and (–12, 0), and asymptotes y equals plus or minus five twelfths times x question mark y squared over 25 minus x squared over 144 equals 1 y squared over 144 minus x squared over 25 equals 1 x squared over 25 minus y squared over 144 equals 1 x squared over 144 minus y squared over 25 equals 1
The standard form of the equation of this hyperbola with vertices at (12, 0) and (–12, 0) is: y squared over 144 minus x squared over 25 equals 1.
How to determine the equation of the hyperbola?Mathematically, the standard form of the equation of a hyperbola is represented by this mathematical expression:
(y - k)²/a² - (x - h)²/b² = 1 .......equation 1.
Where:
a represents the semi-major axis.b represents the semi-minor axis.h and k represents the center.y and x represents the point.From the information provided above, we have the following parameters:
Vertices = (12, 0) and (–12, 0)
h = 0
k = 0
Asymptote = ±5/12(x) = bx/a ......equation 2.
Comparing equation 1 and equation 2, we have:
b = 5
a = 12
Substituting the given parameters into the the standard form, we have;
(y - k)²/a² - (x - h)²/b² = 1
(y - 0)²/12² - (x - 0)²/5² = 1
(y - 0)²/144 - (x - 0)²/25 = 1
y²/144 - x²/25 = 1
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What’s the tangents ratio for F?
5/4
5/3
4/3
3/4
The tangent ratio of F by using the rule from trigonometry is 4/3
What is the trigonometry ratio?Trigonometric ratios are ratios that represent the length of a triangle's sides. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the fundamental trigonometric ratios.
The sine of the trigonometry ratio is sin θ = opposite/hypotenuse. The cosine of the trigonometry ratio is cos θ = adjacent/hypotenuse. The tangent of the trigonometry ratio is tan θ = opposite/adjacent. From the image given. The opposite side is the line facing the angle F;
Thus, the opposite side = 8, and the adjacent is the smallest side, which is 6.
Therefore, the tangent ratio for F is:
tan θ = 8/6
This can be reduced to 4/3
Therefore, we can conclude that the tangent ratio of F is 4/3.
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Fill in the table and find the coefficient of K
x | - 8 | - 4 | 2 | 1 | 1/2 | - 1/4 | 0
------------------------------------------------------
y | - 16/3 | - 8/3 | 4/3 | 2/3 | 1/3 | -1/6 | 0
K = 2/3
Write an expression for the distance between arbitrary point (x,y) and the following points :
An expression for the distance between arbitrary point (x,y) and the following points is \(\sqrt{(x-7)^2+(y-2)^2}\).
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
\(D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)
We are given that;
A fixed pont (x,y)
Now, distance from point 1 (2,3)
\(D = √[(x-2)² + (y-3)²] D = \sqrt{(x-2)^2 + (y-3)^2} \: \rm\)
Distance from point 2 (-4,5)
\(D = √[(x+4)² + (y-5)²] D = \sqrt{(x+4)^2 + (y-5)^2} \: \rm\)
Distance from point 3 (7,2)
\(D = √[(x-7)² + (y-2)²] D = \sqrt{(x-7)^2 + (y-2)^2} \: \rm\)
Therefore, the distance expression between two points will be \(\sqrt{(x-7)^2+(y-2)^2}\)
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A geometric statement is given below.
If two parallel lines are intersected by a transversal, then the alternate interior angles are congruent.
Which term BEST describes this geometric statement?
А
theorem
В.
postulate
C.
definition
D
conjecture
Answer:
A. theorem.
Step-by-step explanation:
(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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Composed rectangle with one semi circle 14 and 10
The resulting shape has an area of 230 sq. units and perimeter of 54 units.
What is perimeter?Perimeter is a term used to describe the length of the outer boundaries of a two-dimensional shape. It is found by adding the lengths of all sides of the shape together. Perimeter is also known as the circumference if the shape is a circle. In mathematics, the perimeter of a shape is a measure of the distance around it.
The composed rectangle with one semi circle 14 and 10 is a composite shape made up of a rectangle with dimensions 14 and 10, and a semi circle with a radius of 10. This shape can be thought of as a rectangle with one of its corners cut off to form a semicircle. The resulting shape has an area of 230 sq. units and perimeter of 54 units.
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The mean daily demand for water, in millions of gallons, in a local city is 300, with a standard deviation of 30. Every morning the water treatment plant produces 380 million gallons of water. What is the probability that the water will run out on a given day, if the mean daily demand of water is normally distributed?
The probability that the water will run out on a given day is 0.0038.
What is the probability that water will run out?To find the probability that the demand for water on a given day exceeds the supply of 380 million gallons, we use the standard normal distribution to standardize the value of 380 million gallons as follows:
z = (x - µ) / σwhere;
x = of 380 million gallons,
µ is the mean daily demand of water = 300 million gallons,
σ is the standard deviation = 30 million gallons.
Substituting the given values:
z = (380 - 300) / 30
z = 2.67
Using a calculator, the probability that a standard normal random variable is greater than 2.67 is 0.0038.
Therefore, the probability that the water will run out on a given day is 0.0038.
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I need help with this balance mobile please:)
Answer:
blue 1
orange 5
green 3
I hope it is helpful and mark me as brainlest and follow me plz
Geometric sequences HELP ASAP!
Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:
\(r=\dfrac{a_2}{a_1}\)
\(r=\dfrac{560}{1120}\)
\(r=0.5\)
The nth term of a geometric sequence is:
\(a_n=ar^{n-1}\)
Where a is the first term and r is the common ratio.
Putting \(a=1120, r=0.5\), we get
\(a_n=1120(0.5)^{n-1}\)
Therefore, the required formula for the given sequence is \(a_n=1120(0.5)^{n-1}\).
We need to find the 10th term of the given sequence. So, substituting \(n=10\) in the above formula.
\(a_{10}=1120(0.5)^{10-1}\)
\(a_{10}=1120(0.5)^{9}\)
\(a_{10}=1120(0.001953125)\)
\(a_{10}=2.1875\)
Therefore, the 10th term of the given sequence is 2.1875.
How much money is 1 quarter, 6 dimes, and 7 Pennies?
Answer: $0.92
Step-by-step explanation:
Answer:
92 cents = $0.92 = 0.92 dollars
Step-by-step explanation:
1 quarter = 25 cents
1 dime = 10 cents
6 dimes = 6 × 10 cents = 60 cents
1 penny = 1 cent
7 pennies = 7 cents
1 quarter + 6 dimes + 7 pennies =
= 25 cents + 60 cents + 7 cents
= 92 cents = $0.92 = 0.92 dollars
in a circle H with m angle GKJ=27 find the m angle GHJ
In a circle H with a measure of angle ∠GKJ = 27°. Then the measure of angle ∠GHJ will be 54°
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In a circle H with a measure of angle ∠GKJ = 27°.
Then the measure of angle ∠GHJ will be
We know that a chord's slope in the centre is double that of the chord's slope at the perimeter.
Then we have
∠GHJ = 2 x ∠GKJ
∠GHJ = 2 x 27°
∠GHJ = 54°
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how to get the area of the base ?
Answer:
LxWxH
Step-by-step explanation:
Find x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
Anumeha knows the following information about a set of 20 numbers: 9 numbers are a multiple of 3 but not a multiple of 4. 10 numbers in total are a multiple of 3. 10 numbers in total are a multiple of 4. Can you help Anumeha organize the results into a two-way frequency table?
PLS HELP ASAP WILL MARK BRAINLIEST
Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
· Jack says "six less than a number is four" is written as 6-n = 4. Jane says he is incorrect and that it should be written as n - 6 = 4. Identify who is correct and explain why in a complete sentence.
Answer:
Jane is right. 6 minus the number equals four
Step-by-step explanation:
Determine whether the graph represents a function.
A, the relation is not a function
in order for something to be a function, x (the input) can't repeat itself more than once