Answer:
Step-by-step explanation:
Vertex is (1,6)
Axis of symmetry is x=1
Min/Max value is (1,6)
The graph is the parabola opening downward.
.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.
The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."
To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:
8b + 5 = 9
To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:
Subtract 5 from both sides to get rid of the constant term:
8b + 5 - 5 = 9 - 5
8b = 4
Divide both sides of the equation by 8 to solve for b:
8b/8 = 4/8
b = 1/2
Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:
8(1/2) + 5 = 9
4 + 5 = 9
Both sides of the equation are equal, confirming that b = 1/2 is the solution.
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Use this formula to calculate compound interest:
Principal x (1 + Interest Rate)(Time)
$100
Interest Rate = 4%
Time= 5 years
Using the information above, how much money would you have after 5 years? Choose the answer that is closest to the exact answer.
The amount after 5 years on $100 using the compound interest is $122.
According to the question,
We have the following information:
Principal = $100
Interest Rate = 4%
Time= 5 years
We know that the following formula is used to find the total amount if there is compound interest:
Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years
(Note that there are different formulas for compound interest depending on how it is calculated.)
A = \(100(1+\frac{4}{100})^{5}\)
A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)
A = 100*1.22
A = $122
Hence, the amount after 5 years on $100 using the compound interest is $122.
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The pool fun company has learned that by pricing a newly released fun noodle at $5 sales will reach 8000 fun noodles per day during the summer. raising the price to $6 will cause the sales to fall to 3000 fun noodles per day. a. type the equation (type in slope Intercept form) b. predict the daily sales of Fun noodles if the price is $5.50
If we graph price vs sales, the corresponding coordinates are (5,8000) and (6,3000).
Calculate the slope,
\(\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{3000-8000}{6-5} \\ m=-5000 \end{gathered}\)Calculate the equation of line in slope intersept form.
\(\begin{gathered} y-y1=m(x-x1) \\ y-8000=-5000(x-5) \\ y-8000=-5000x+25000 \\ y=-5000x+33000 \end{gathered}\)Put 5.50 for x implies,
\(\begin{gathered} y=-(5000\times5.5)+33000 \\ y=5500 \end{gathered}\)Thus, the daily sales of fun noodels is 5500.
Add 3/8+ 1/12 by using the LCM as the common denominator.What is the LCM of 8 and 12?
Enter your answer in the box.
Answer: 24
Step-by-step explanation: LCM(8, 12) = 24
12 x 2 = 24
8 x 3 = 24
how do i make a graph of this?? helpppp
Answer:
Step-by-step explanation:
which is the simplified form of the expression ((p^2)(q^5))^-4•((p^-4)(q^5))^-2
(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²
= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)
= p ⁻¹⁶ q ⁻²⁰
In the following proportion, what does w equal? 3/4 = w/28
A. 7
B. 8
C. 18
D. 21
Step-by-step explanation:
\( \frac{3}{4} = \frac{w}{28}\)
\( \frac{3}{4} = \frac{w}{4 \times 7} \)
\(3 = \frac{w}{7} \)
\(w = 21\)
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10∘ to the horizontal. Calculate the length of the zip wire.
The length of the zip wire is approximately 25.42 meters.
To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.
Given:
Distance between the two posts: 25m
Angle of the zip wire to the horizontal: 10°
We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.
In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.
Using the cosine function:
cos(angle) = adjacent/hypotenuse
cos(10°) = 25m/hypotenuse
To find the hypotenuse (length of the zip wire), we can rearrange the equation:
hypotenuse = 25m / cos(10°)
Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.
Therefore, the length of the zip wire is:
hypotenuse = 25m / 0.9848 ≈ 25.42m
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Please help me!! I don’t get this!
Answer:
c) (x+1)²+(y-3)²=25
Step-by-step explanation:
Add.
0.125 +0.25 +0.375
Answer:
0.75
Step-by-step explanation:
Just add them and you get your answer
Answer: 0.75
Step-by-step explanation:
pls answer asap...............
Definition of the given word :
1.
Point: A point in geometry is a location. It has no size i.e. no width, no length, and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions
2.
Line:
In geometry, a line is a straight one-dimensional figure that does not have a thickness, and it extends endlessly in both directions. Diagram A represents a line. It does not have any endpoint. The two arrows at each end signify that the line extends endlessly and is unending in both directions
3.
Plane: A flat surface made up of points that extend indefinitely in all directions.
4.
Colinear: A set of points that all lie on the same line is said to be
5.
Coplanar: Point lies on the same plane
6.
Line Segment: A measurable part of a line consisting of two endpoints.
7.
Ray: The line that extends indefinitely in one direction.
8.
Angle: A intersection of two rays at a common endpoint
9.
Adjacent Angles: two angles shared a common vertex and side
10.
Vertical Angle :
Vertical angles are a pair of opposite angles formed by intersecting lines
11.
Complementary: Two angles with the sum of 90 degree
12.
Supplementary:
When the sum of the measure of two angles is equal to 180 degrees, they are called supplementary angles. For example, 70 degrees and 110 degrees are supplementary.
13.
Linear pair :
Linear pairs of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
14.
Perpendicular: Two lines intersected on 90 degree
15.
Bisector: A-line, Ray and segment which divide the angle or segment into two equal parts.
Diagram answer
1
Ans: E&F
2.
Ans: Ray
3.
Ans: X point
4.
Ans:Y & W
Diagram answer :
5.
Ans: 6 plane
6.
Ans: PQSR
7.
Ans: PQSR
8.
Ans: M
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Definition of the given word :
1. Geometrically speaking, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a group of points that stretches in both directions indefinitely.
2. Line: A line is a straight, one-dimensional figure in geometry that is infinitely long in both directions and has no thickness. Illustration A shows a line. There is no endpoint to it. The line has two arrows at each end, indicating that it goes on forever and never terminates in either direction.
3. A flat surface made up of points that can be traced out in all directions is called a plane.
4. A group of points that are all along the same line are referred to as Colinear points.
5. Point is coplanar if it is on the same plane.
6. A line segment is a quantifiable section of a line with two endpoints.
7. Ray: The line that goes on forever in a single direction.
8. Angle: The point at which two rays intersect.
9. A common vertex and side were shared by two adjacent angles.
10. Horizontal Angle:
A vertical angle is a pair of opposing angles created when two lines cross.
11. Two angles with a total of 90 degrees are complementary.
12. Supplementary:
Two angles are referred to as supplementary angles when the sum of their measures is 180 degrees. For instance, 70 degrees and 110 degrees complement one another.
13. Linear couple:
When two lines cross at a single location, linear pairs of angles are created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
14. Perpendicular: A 90-degree intersection of two lines
15. A-line, Ray, and segment known as a "bisector" that divides an angle or segment into two equally sized pieces.
Diagram answer
1. Ans: E&F
2. Ans: Ray
3. Ans: X point
4. Ans: Y & W
Diagram answer :
5. Ans: 6 plane
6. Ans: PQSR
7. Ans: PQSR
8. Ans: M
if this is solved you will be awarded a high mark prove the following formula 1 + sec²=cot²
This relationship is not true.
\(1 + \sec^2(x) = 1 + (1 - \tan^2(x)) = 2 - \tan^2(x)\)
and
\(\cot^2(x) = \dfrac1{\tan^2(x)}\)
Rewrite the equation in terms of only tangent.
\(2 - \tan^2(x) = \dfrac1{\tan^2(x)} \iff \tan^4(x) - 2\tan^2(x) + 1 = 0\)
Factorize the left side.
\(\left(\tan^2(x) - 1\right)^2 = 0\)
Solve for \(\tan(x)\).
\(\tan^2(x) - 1 = 0\)
\(\tan^2(x) = 1\)
\(\tan(x) = \pm 1\)
\(x = \pm\tan^{-1}(1) + n\pi = \pm\dfrac\pi4 + n\pi\)
where \(n\) is an integer. That is, the equation only holds for certain values of \(x\), as opposed to all \(x\), so it's not an identity.
the sum of the recipocal of two consecutive even number is 7/24.one number is 6.the other number will be
Answer:
8
Step-by-step explanation:
The numbers are 6 and 2x, then:
1/6 + 1/(2x) = 7/241/3 + 1/x = 7/12(x+3)/(3x) = 7/1212(x+3) = 7*3x12x + 36 = 21x21x - 12x = 369x = 36x = 4The other number is 2*4 = 8
Find the surface area
of the figure below:
19 cm
30 cm.
The surface area of the figure is approximately 997.5π cm².
We have,
The figure has two shapes:
Cone and a semicircle
Now,
The surface area of a cone:
= πr (r + l)
where r is the radius of the base and l is the slant height.
Given that
r = 15 cm and l = 19 cm, we can substitute these values into the formula:
= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)
The surface area of a semicircle:
= (πr²) / 2
Given that r = 15 cm, we can substitute this value into the formula:
= (π(15)²) / 2
= 112.5π cm² (rounded to one decimal place)
The surface area of the figure:
To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:
Now,
Total surface area
= 885π + 112.5π
= 997.5π cm² (rounded to one decimal place)
Therefore,
The surface area of the figure is approximately 997.5π cm².
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The following figure is made of 2 triangles.
7
А
5
B
4
Find the area of each part of the figure and the whole figure.
The area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.
What is area?A two-dimensional surface, like the surface of a shape or object, can be measured in terms of area. Usually, it is expressed in square quantities like square metres (m2) or square feet (ft2). By multiplying the length and breadth of a rectangle, or by applying particular formulas for other forms, such as base times height divided by two for a triangle, one can determine the area of a shape.
From the given figure we observe that the base of the slanted figure has true base length of 5 units.
Thus, for triangle B the area is:
Triangle B = 1/2(b)(h)
Triangle B = 1/2(5)(4) = 10 square units.
For triangle A we have:
Triangle A = 1/2(5)(7) = 35/2 = 17.5 square units.
The area of the whole figure is:
A = 10 + 17.5 = 27.5 square units.
Hence, the area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.
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5 cm
6 cm
13 cm
Help me find the area of this please
The area should be 47.5 CM.
Answer:
Step-by-step explanation:
The figure you see here is a trapezoid.
Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm
Which expression best estimates-18-
-181-232
O 18+3
O-18+3
O-18+(-3)
O 18+(-3)
Answer:O 18+3
O-18+3
O-18+(-3)
Step-by-step explanation:O 18+3
O-18+3
O-18+(-3)
the expected value of a random variable is the
Answer:
The expected value of random variable X is often written as E(X) or µ or µX.
Step-by-step explanation:The expected value is the 'long-run mean' in the sense that, if as more and more values of the random variable were collected (by sampling or by repeated trials of a probability activity), the sample mean becomes closer to the expected value.
2/3 es equivalente a 4/5?
we can conclude that 2/3 is not equal to 4/5.
To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.
To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.
For 2/3 and 4/5, we have:
2 * 5 = 10
3 * 4 = 12
Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.
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what's the answer for this question
Answers:
A) 125 cm^3C) 20*1000 + 6*100 + 7======================================
Explanations:
The cube has all sides the same length (even if the diagram may not look like it). The volume is V = length*width*height = 5*5*5 = 125 cubic cm. The answer is choice A.The number is 20,607. The "20 thousand" portion can be written into 20*1000. Effectively, we have 20 copies of "1000" being added, so we can shorthand that into multiplication. The same idea applies to 6*100 which represents 600. Overall we can say 20,607 = 20*1000+6*100+7. The answer is choice C.2.
Each child in a group was asked to choose a single favorite type of cereal. The table shows the number of children who chose each type of cereal as a favorite.
type of cereal ...... number of children
oatmeal ..............15
grits ................. 10
wheat .................... 2
cold cereal ................ 20
other....................... 3
Which statement is NOT supported by the data in the table?
Answer
F.More than 5% of the children chose “other” as the favorite type of cereal.
Step-by-step explanation:
The answer is F
Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cosines is Pantel write an equation to model your work
The perimeter of the rectangular Panto will be 38 meters.
How to calculate the perimeter?It is important to note that the perimeter of a rectangle is calculated as:
= 2(length + width)
In this case, Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide.
We are told to convert the dimensions to the nearest whole numbers. This will be 13m and 6m. Therefore, the perimeter will be:
= 2 (length + width)
= 2 13 + 6)
= 2(19)
= 38m.
The perimeter is 38m.
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me too
basically yea
Answer:
?????
Step-by-step explanation:
is there any questions you need help with ?
Y = 3 x -3+4 graphed
The graph for y = 3x + 1 is given below
What is coordinate plane ?Two number lines combine to form a two-dimensional surface known as a coordinate plane. It is created when the origin, a point where the X- and Y-axes coincide, is crossed by a horizontal line. Points are located using the numbers on a coordinate grid. You can graph points, lines, and many other things using a coordinate plane. It serves as a map and provides clear directions between two points.
Y = 3 x -3+4
y = 3x +1
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Explain how you can use compatible numbers to estimate the quotient 925÷29
PLEASE HELP 10 POINTSS PLEASE USE A GOOD EXPLANATION TY <3
The estimate of the quotient expression using compatible numbers is 31
How to estimate the number of quotient?The quotient expression from the question is given as
925÷29
From the question, we are to make use of compatible numbers
This means that we have the following approximation
925 = 930
29 = 30
Next, we estimate the quotient using approximated values
So, we have
925 ÷ 29 = 930 ÷ 30
Evaluate the quotient
925 ÷ 29 = 31
Hence, the estimate is 31
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Given that 6x – 7y = 22
Find y when x = -1
y =
Answer:
y = -4
Step-by-step explanation:
given x = -1
6x - 7y = 22
6(-1) -7y = 22
-6 - 7y = 22
-7y = 22 + 6
-7y = 28
y = -4
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Max wants to purchase a wall hanging. He is choosing between one shaped like a trapezoid and one shaped like a kite. He will choose the wall hanging with the greater area. Which wall hanging will Max choose?
Answer:
Max will choose the wall hanging that is shaped like a trapezoid.
Step-by-step explanation:
To find the area of the trapezoid, break it into a triangle and another trapezoid. Use the formula for the area of a triangle (A=base*height*1/2) and the formula for the area of a trapezoid (A=base+base*height*1/2). The area of the trapezoid is 672 square centimeters.
To find the area of the kite, break it into two identical triangles. (There's a horizontal line between them.) Use the formula for the area of a triangle for both, then add the two areas. The area of the kite is 648 square centimeters.
Finally, we know that 672>648. Therefore, Max will choose the wall hanging that is shaped like a trapezoid.
Hope this helps! Tell me if you have any other questions:)
Answer:trapezoid
Step-by-step explanation:
-5y + 6x = 40
3y - 8x = -46
Answer:
-2y-2x=-6
Step-by-step explanation:
-5y = 3y = -2y
6x - 8x = -2y
40 - 46 = -6
Answer:
Answer:
X=5
Y=-2
Step-by-step explanation:
trust the process
According to a weather report, there is a 44% chance it will rain tomorrow. What is the probability that it will not rain tomorrow?
a. Design a geometric model for this probability.
b. What is the probability of the event that it will not rain tomorrow? Explain your answer.
a. Design a geometric model for this probability. Select all that apply.
A. A square spinner divided into parts of equal area by a diagonal. Choose a part by a random spin.
B. A circular spinner divided into parts of equal area by 44 radii. Choose a part by a random spin.
C. A rectangular grid with 44 out of 100 cells shaded. Choose a cell at random.
D. A circular grid with 1 out of 44 sectors shaded. Choose a sector at random.
E. A circular grid with 44 out of 100 sectors shaded. Choose a sector at random.
F. A rectangular grid with 1 out of 44 cells shaded. Choose a cell at random.
because
cell(s) or sector(s) are shaded, so out of cell(s) or sector(s) are not shaded.
b. The probability that it will not rain tomorrow is
(Type integers or decimals.)
The probability that it will not rain tomorrow is 56%, and the geometric models that represent the probability that it will rain tomorrow are:
C. A rectangular grid with 44 out of 100 cells shaded. Choose a cell at random. E. A circular grid with 44 out of 100 sectors shaded. Choose a sector at random. What are probabilities?Probabilities are used to determine the chances of events
The given probability is:
\(p= 44\%\) -- the probability that it will rain tomorrow
The probability that it will not rain tomorrow is calculated using the following complement rule
\(q= 1 -p\)
This gives
\(q= 1 -44\%\)
\(q= 56\%\)
This means that:
The probability that it will not rain tomorrow is 56%
Also, options (c) and (e) represent the geometric models that it will rain tomorrow
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A chemist needs 40 liters of a solution that is 20% acid for a certain experiment, but she has
only a solution that is 15% acid and a solution that is 40% acid. How many liters of the 15% and
the 40% solutions should she mix to get what she needs?