Answer:75
Step-by-step explanation:The complementary angle of 15° is 75°. To find the complement of an angle, say ' x ', use the formula below: So, the complementary angle of 15° = 90 - 15 = 75°. Important: the angle unit is set to degrees. You browser does not support "Canvas"
If U1 And U2 Are Orthogonal Unit Vectors Andv=Au1 + Bu2, Find v*u1
Long division
7/55
Pls help ASAP
Answer:55/7= 8
Step-by-step explanation:
It’s division
Answer:
7 with a remainder of 4
Step-by-step explanation:
Open the picture and look how i did.
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A 2-gallon container of laundry detergent costs $16.00. What is the price per cup?
The price of the laundry detergent per cup is $0.5.
Unit of measure of quantity.The measure of a quantity can be expressed by its unit. The unit can be converted from one to another if the quantity are related.
In this question, the gallon has to be expressed as cups. Thus the price of the laundry detergent can now be determined.
This implies that we can express gallon in terms of cups, we have;
1 gallon = 16 cups
So that,
2 gallons = 2*16
= 32 cups
Therefore;
the price of the laundry detergent per cup = $16/ 32
= $0.5
The price of the laundry detergent per cup is $0.5.
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Match the solution to its expression.
Answer: Numbers 3, and 1
Step-by-step explanation:
1. (3/7)/(1/2) = 3/7 * 2 = 6/7 = Number 3
2. 3/4 * 1/4 = 3/4*4 = 3/16 = Number 1
The image of the point (0, 7)(0,7) under a translation is (-2, 5)(−2,5). Find the coordinates of the image of the point (5, -2)(5,−2) under the same translation.
The coordinates of the image of point (5, -2) under the same translation is (3, -4)
How to find the coordinates of the image of a point?Translation is a type of transformation that moves a figure or a function in a specific direction and distance without rotating or changing its size.
To solve the given, you can use the equation below:
image = point + translation
So we can say:
translation = image - point
translation = (-2, 5) - (0, 7)
translation = (-2-(0) , 5-7)
translation = (-2, -2)
Under the same translation, the coordinates of the image of the point (5, -2) will be:
image = point + translation
image = (5, -2) + (-2, -2)
image = (5+(-2) , -2+(-2))
image = (3, -4)
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Correct Question
The image of the point (0, 7) under a translation is (−2,5). Find the coordinates of the image of the point (5,−2) under the same translation.
The equation of a line in slope intercept form is y=mx+b where m is the slope of the line.
Yes, that's correct. In the slope-intercept form, the equation of a line is given as y = mx + b where m is the slope of the line.
The variable "m" represents the slope of the line, which is a measure of how steep the line is. It is calculated as the ratio of the change in the y-coordinate to the change in the x-coordinate, also known as the rise over the run.
A line with a positive slope will rise as it moves to the right, while a line with a negative slope will fall as it moves to the right. A line with a slope of zero is a horizontal line and one with an infinite slope is a vertical line.
The variable "b" is the y-intercept, which is the point where the line crosses the y-axis. It is the value of y when x = 0.
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PLS DO NUMBER 10 WILL MARK BRAINLY AND ALSO GIVE AN ADDITIONAL 100 PTS IF CORRECT PLS HURRY. THANK YOU
Answer:
Step-by-step explanation:
the whole one or only one of them?
Answer:
i d k
Step-by-step explanation:
On opening night, Nutcracker on Ice sold out with 320 tickets sold. Adult tickets were $25 each and children tickets were $8 each. The total ticket sales was $6,130. How many adult tickets and how many children tickets were sold?
On opening night, the number of adult tickets and the number of children tickets were sold are respectively, 210 and 110
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Total tickets sold = 320
Adult tickets = $25 each
Children tickets = $8 each
The total ticket sales= $6,130
Suppose, the number of adult tickets sold = x
So, the number of children tickets sold = 320 - x
Total sales = 6130
Total sales = adult tickets sold + children tickets sold
= 25×x + 8×(320 - x)
= 25x + 2560 - 8x
= 17x + 2560
6130-2560= 17x
x = 210
Now, number of children ticket = 320 - 210
= 110
Hence, The numbers are respectively, 210 and 110
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Find the ratio of circles to squares in the diagram below.
OD
O
OOOO
O
Unsimplified ratio of circles to squares:
Just count them a
The ratio of any pair of corresponding sides is the RATIO OF SIMILARITY between any two similar figures. Simply put, when two figures are found to be similar, all of their associated side pairs have the same ratio.
What is a number's ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
Since,
the number of circle in the given figure is 4
the number of squares in the given figure is 16
total number of figures is 20
Ratio is 4/20=1/5
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Find the perimeter of the figure
Answer: 30
Step-by-step explanation: 6 + 4 + 4 + 9.5 + 6 + 6.5 = 30
According to a recent poll, 27% of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. Assume the standard deviation from the recent studies is accurate and known. According to recent studies, cholesterol levels in healthy adults from the area average about 210 mg/dL, with a standard deviation of 30 about mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of48 healthy adults from the region is taken,
What is the probability that the mean cholesterol level of the sample will be no more than 210?
The probability of 50% shows that the mean cholesterol level of the sample will be no more than 210 for the given mean and standard deviation.
As given in the question,
Area average represents the mean ' μ ' = 210 mg /dL
Standard deviation 'σ ' = 30 mg /dL
Sample 'n' = 48
Normal distribution 's' = σ /√n
= 30 /√48
= 4.35
Probability so that mean of the given sample not more than 210
By using central limit theorem we have,
Z = ( X - μ ) /s
= ( 210 - 210 )/ 4.35
= 0
When Z = 0 it has p-value equals to 0.5.
0.5 = 50%
Therefore, the probability of 50% shows that the mean cholesterol level of the sample will be no more than 210.
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The Miller family must drive 8 hours to reach their destination. They drive 323 hours before stopping for the first time. Then they drive 235 hours before stopping again. How many more hours will it take the Miller family to reach their destination? Use paper to show your work. Enter your answer in the box.
It will take the Miller family
The number of hours it would take Miller's family to reach their destination is [tex]2\frac{2}{3}[/tex] hours. This can be solved using the concept of fractions.
What is a fraction?A fraction is expressed as p/q, where q ≠ 0. Proper fractions, in which the numerator is less than the denominator, and improper fractions, in which the numerator is higher than the denominator, are the two sorts of fractions.
Given, The Miller family must drive 8 hours to reach their destination.
The first time they stopped after driving hours and again for the second time they stopped after driving hours.
Therefore the total hours they drive is,
= [tex](2\frac{2}{3}+2\frac{2}{3})[/tex] hours.
= (8/3 + 8/3) hours.
= 16/3 hours.
= [tex]5\frac{1}{3}[/tex] hours.
So, The number of hours they still need to drive is,
= (8 - 16/3) hours.
= (2⁴ - 16)/3 hours.
= 8/3 hours.
= [tex]2\frac{2}{3}[/tex] hours.
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5/2 , 2.45, 2 2/5 , 6√ Put the numbers in order from least to greatest.
154b
Step-by-step explanation:
Which theorem is not a valid theorem to show that two triangles are congruent?
Methods that do not Prove Triangles to be Congruent.
1. AAA (angle angle angle)
AAA works fine to show that triangles are the similar shape (matching) but it does not apply to also show they are the same size, thus congruent!
Consider the following example at the right.
2. SSA (side side angle) or angle side side:
SSA is humorously called to as the “Donkey Theorem “.
This is not a universal method to solve triangles congruent because it cannot assurance that one unique triangle will be drawn!
The SSA (side side angle) mixture affords the possibility of creating zero, one, or two triangles.
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Solve the system of linear equations by substitution.
-5x+6y=-11
6y=x+5
The solution set to the given system of equation is -
x = 4 & y = 1.5.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the system of linear equations as -.
- 5x + 6y = - 11
6y = x + 5
In mathematics, a system of linear equations is a collection of one or more linear equations involving the same variables.
The types of systems of linear equations are as follows:
Dependent : The system has infinitely many solutions. The graphs of the equations represent the same lines. ...Independent : The system has exactly one solution. The graphs of the equations intersect at a single point. ...Inconsistent : The system has no solution.The system of linear equations is -
- 5x + 6y = - 11
6y = x + 5
We can write -
6y = x + 5
x = 6y - 5
Now, we can write -
- 5(6y - 5) + 6y = - 11
- 30y + 25 + 6y = - 11
- 24y = - 11 - 25
- 24y = - 36
y = 36/24
y = 9/6
y = 3/2
y = 1.5
Then, we can write -
x = 6 x 3/2 - 5
x = 9 - 5
x = 4
Therefore, the solution set to the given system of equation is -
x = 4 & y = 1.5.
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an underground storage tank has been in place for 15 years. what is its remaining useful life, on average?
On average, an underground storage tank has a remaining useful life of between 10-20 years depending on the construction, maintenance, and environment it is in. The tank's remaining useful life is also dependent on the type of material used in its construction.
Tanks constructed from steel or fiberglass have a life span of around 15-20 years, while concrete tanks have a longer life expectancy of up to 25 years. In this case, the tank has been in place for 15 years, which puts it at the midpoint of its expected life expectancy.
Depending on the maintenance and environment that the tank has been subjected to, it is not unlikely that it could last longer than its expected life, but it is recommended to inspect the tank periodically to ensure that it is still in good condition. If the tank is not properly maintained, the remaining useful life may be significantly shorter.
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What is the equation of this line? PLEASE HURRYYY!!!!!!
Avelina and half as much as Gus if Gus are in 125 how much did Avelina earn
By solving a simple equation, we will see that Avelina earns $62.50
How much did Avelina earn?Here we know that Avelina earns half as much as Gus, then if we define the variables:
A = amount that Avelina earns.
G = amount that Gus earns.
Then we can write the equation:
A = G/2
That says that Avelina earns half as much as Gus.
We know that Gus earns $125. then we can replace that in the equation above:
A = $125/2
A = $62.50
Avelina earns 62.50 dollars.
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What is the Volume of the sphere? Round to the nearest tenth place.
Which inequality matches the graph?
X, Y graph. X range is negative 10 to 10, and y range is negative 10 to 10. Solid line on graph has positive slope and runs through negative 9, negative 10 and negative 3, negative 1 and 3, 8. Above line is shaded.
−2x + 3y > 7
2x − 3y < 7
−3x + 2y ≥ 7
3x − 2y ≤ 7
The solid line on the graph has a positive slope that will be 2y - 3x ≥ 7. Then the correct option is C.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)
The points that are on the line are given below.
(-9, -10), (-3, -1), and (3, 8)
The inequality of the line is given as,
(y - 8) ≥ [(8 + 1) / (3 + 3)] (x - 3)
y - 8 ≥ (3/2)(x - 3)
2y - 16 ≥ 3x - 9
2y - 3x ≥ 7
The solid line on the graph has a positive slope that will be 2y - 3x ≥ 7. Then the correct option is C.
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Answer: c
Step-by-step explanation:
Honeybees beat their wings at very fast rates. In 9 seconds a honeybee can beat its wings 1917 times. In 23 seconds a honeybee can beat its wings 4899 times. Question Complete the table to show ratios that are equivalent to the ratio of time to number of wing beats for a honeybee. Enter a number in each box.
Answer: To complete the table, we need to find ratios that are equivalent to the ratio of time to number of wing beats for a honeybee.
We can start by finding the ratio of time to number of wing beats for the first data point:
9 seconds / 1917 wing beats = 9/1917
And the second data point:
23 seconds / 4899 wing beats = 23/4899
To find equivalent ratios, we can multiply or divide both parts of the ratio by the same number, without changing the value of the ratio. For example, we can divide both parts of the ratio by 9 to get:
9/1917 = (9/9) / (1917/9) = 1 / 213
We can also divide both parts of the ratio by 23 to get:
23/4899 = (23/23) / (4899/23) = 1/213
We can use this same method to find equivalent ratios for other values of time and number of wing beats.
Time (s) Number of wing beats Ratio
9 1917 9/1917 or 1/213
23 4899 23/4899 or 1/213
So, the ratio of time to a number of wing beats for a honeybee is equivalent to 1/213, regardless of the specific values of time and number of wing beats.
Step-by-step explanation:
Is the relationship linear, exponential, or neither?
No, the relationship is neither linear nor exponential.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
Ordered pairs from the table.
(15, 10), (16, 20), (17, 40), and (18, 70)
Now,
The rate of change between two ordered pairs is not the same.
Rate of change between (15, 10) and (16, 20).
= (20 - 10)/(16 - 15)
= 10/1
= 10
Rate of change between (16, 20) and (17, 40).
= (40 - 20)/(17 - 16)
= 20/1
= 20
This shows that it is not a linear relationship.
We can not make it in an exponential form.
i.e y = [tex]a^x[/tex]
Thus,
The relationship from the table is not linear nor exponential.
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What is the difference between the lateral and total surface areas of the prism sitting on its base?
Check the picture below.
well, firstly let's find out the areas, and then let's get their difference
[tex]\stackrel{\textit{\LARGE total surface area}}{\stackrel{\textit{top and bottom}}{2(14.5)(6)}~~ + ~~\stackrel{\textit{left and right}}{2(6)(8.5)}~~ + ~~\stackrel{\textit{front and back}}{2(14.5)(8.5)}}\implies 522.5~ft^2 \\\\\\ ~\hspace{8em}\stackrel{\textit{\LARGE lateral area}}{\stackrel{\textit{left and right}}{2(6)(8.5)}~~ + ~~\stackrel{\textit{front and back}}{2(14.5)(8.5)}}\implies 348.5~ft^2 \\\\[-0.35em] ~\dotfill\\\\ 522.5~~ - ~~348.5\implies \text{\LARGE 174}~ft^2[/tex]
Write an equation of a line passing through (2, 2) and perpendicular to
У =
5* - 3.
The equation of a line passing through (2, 2) and perpendicular to y = 5x - 3 is y = -3x + 8.
What is equation?An equation is a mathematical statement between two expressions, with an equal sign (=) to indicate that both expressions are of the same value. Equations can be used to solve a variety of problems in mathematics, physics, chemistry, and other sciences. Additionally, equations are used to express relationships between different variables or unknowns.
The equation of a line passing through (2, 2) and perpendicular to the given line is y = -3x + 8.
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How do you know if a quadratic function can be factored?
If the discriminant is a perfect square then it represents that quadratic function is factored.
As given in the question,
Standard quadratic function is expressed as :
ax² + bx + c = 0
Quadratic function can be factored by two methods :
1. Splitting of the middle term.
By splitting method it can be expressed as a product of linear function
A( x - u )( x -r )
2. By using quadratic formula : x = ( -b ± √b² -4ac ) /2a
Here discriminant = √b² -4ac
If the discriminant is a perfect square it is possible to factored quadratic equation.
Therefore, the value of discriminant is perfect square it represents that quadratic function is possible to factored.
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four girls take turns flipping a fair coin until a head appears. what is the probability that the first girl is the first top lip a head
The probability that the first girl is the first to flip a head is 1/2.
The probability of appearing a head is 1/2.
If the number of toss required is odd as in one attempt represent odd number , we have following sequence of events
H, TTH, TTTTH.....
The required probability P will be
P = 1/2 + (1/2)³ + (1/2)⁵..........
As she flipped it in first go the probability will be 1/2.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
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What is the solution of log2?
The solution of log2 is approximately 0.30102999566. To solve for log2, one can use a calculator to calculate the logarithm of 2 to any given base.
To solve for log2, one can use a calculator to calculate the logarithm of 2 to any given base. For example, using a calculator set to base 10, one would enter the number 2 and then press the 'log' button. The answer would be 0.30102999566. This is the solution to log2. Alternatively, one could use a logarithm table to look up the answer. To do this, one would find the row labeled "base 10" and then find the column labeled "2". Then, find the corresponding number in the table, which would also be 0.30102999566.
The solution of log2 is approximately 0.30102999566.
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Triangle ABC is graphed on a coordinate grid. A is located at (8,4), B is located at (4,10), and C is located at (-2,4). The triangle is dilated with scale factor of 1/2 with the orgin as the center of dilation. Where would B’ be located at?
Answer:
A dilation is a transformation that changes the size of a figure while keeping its shape the same. In a dilation with a scale factor of 1/2 and the origin as the center of dilation, each point in the figure is moved away from the origin by a factor of 1/2.
To find the new location of point B, we can apply this dilation to the coordinates of point B. Point B is located at (4,10), so we can multiply each coordinate by 1/2 to find the new location.
B'(x',y') = (1/2)(x,y) = (1/2)(4,10) = (2,5)
So the new location of point B, B' is located at (2,5) in the coordinate plane.
HELP!!!! WILL MARK BRAINLYLIST 50 POINTS!
Jerry plans to begin saving money for a trip by putting $1 in a savings account the first month
and then adding enough to double the amount in the account each following month.
A. After he finishes contributing to the account, he will withdraw $500 to make a down
payment on the trip. Create a function to show how much money will be in the account if he
finishes contributing to the account after t months.
Type your response here:
b. Jerry plans to keep up this saving pattern until he can no longer afford it. At that time, he
hopes to have enough in his account for his trip. How much will be in the account, after
making the down payment, if the most he will be able to contribute in a month is $1,200?
Function that represents the amount of money in the account after t months under the provided condition is equal to A = [tex]2^{t - 1} -[/tex] 500.
What is meant by Function?Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and codomain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and codomain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.Given,
Amount in the account
Frist month = $1
= [tex]2^{1-1}[/tex]
As per given condition,
second month = $2
= [tex]2^{2-1}[/tex]
Third month = $4
= [tex]2^{3-1}[/tex]
t = months.
Jerry withdraw $500 to make a down payment on the trip.
'A' represents the total amount left in the account
Required function as per given condition,
A = [tex]2^{t-1}[/tex] - 500
Hence, function representing the amount of money as per given condition in the account after t months is equals to A= [tex]2^{t-1}[/tex] - 500
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No idea what to do please help
Answer:
1. a = -14 and b = -10
2. c = 12 and d = 1
Step-by-step explanation:
See the attached worksheet. Consolidate like terms, where possible and compare to the rigfht side of the equation,. Assign values to the variables to make both sides equal.