The numerical value of to the nearest tenth is 14.3.
What is the value of x ?From the diagram, we have a right angle triangle.
Angle Ф = 40 degreeOpposite to angle 40 degree = 12Adjacent to angle 40 degree = xUsing trig ratio, Tangent = Opposite / Adjacent.
Hence;
tan( Ф ) = Opposite / Adjacent
Plug in the given values and solve for x
tan( 40° ) = 12/ x
tan( 40° ) × x = 12
x = 12 / tan( 40° )
x = 12 / 0.8390996
x = 14.3
Therefore, the value of x is approximately 14.3.
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Maggie brought $10 to the candy store. She will buy a certain amount of fudge. One pound of fudge costs $2.30. If p represents the amount of fudge, in pounds, Maggie buys, which expression
Answer: $10=2.30p
Step-by-step explanation:
if it takes you 2 hours to shape 48 baguettes, how many could you make in 30 minutes? how long would it take for you to make 1 baguette?
Answer:
12. & 2.5mins
Step-by-step explanation:
2 hours = 120 mins for 48 baguettes. so 120/48 = 2.5 mins per baguette
30 mins is 1/4 of 2 hours. so 12 baguettes
Which equation represents this graph? This graphic illustrates the mathematical word problem described in the accompanying text.
Answer:
Step-by-step explanation:
that a huge prob but yah
Simplify the square root of 3/8
Please I need help!!!!!!! As Lily files her taxes, she learns that her federal total tax due ends up being $206. According to her Federal income tax withheld, how much of a tax refund can she expect back?
A. $206. 00
B. $874. 50
C. $1,080. 50
D. $13,369. 50
If the federal income tax withheld is $1080.50 and the federal total tax is $206 , then the tax refund that she expect back is (b) $874.50 .
The Lilly's federal total tax is = $206 ;
the federal income tax withheld is = $1080.50 ;
The amount of the refund is the difference between the federal income tax withheld and federal total tax .
So , the refund is = (federal income tax withheld) - (federal total tax) ;
Substituting the values ,
we get ;
Refund = 1080.50 - 206
= $874.50
Therefore , tax refund that she expect back is $874.50 .
The given question is incomplete , the complete question is
As Lily files her taxes, she learns that her federal total tax due ends up being $206. According to her Federal income tax withheld is $1080.50 , how much of a tax refund can she expect back ?
(a) $206.00
(b) $874.50
(c) $1,080.50
(d) $13,369.50
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The product of two consecutive even integers is 168. Find the integers.
What are the negative integers?
Answer:
We can use algebra to find the two consecutive even integers whose product is 168.
Let's call the first even integer x. Since it is consecutive to another even integer, the next one will be x+2. The product of these two integers is:
x * (x+2) = 168
We can solve for x by simplifying the equation:
x^2 + 2x = 168
x^2 + 2x - 168 = 0
We can factor the left side of the equation:
(x-14)(x+12) = 0
So the two solutions for x are -12 and 14.
The negative integers are -12 and -14.
The two integers that multiply to give 168 are -12 and -14, but keep in mind that they are not consecutive integers.
Please Help me on this 3rd last question I'm on I'm a bit stuck on it it would be very amazing if you did help me.
Answer:
c
Step-by-step explanation:
simplify the expression 5^3b+2
Answer:
125b+2
Step-by-step explanation:
5^3b+2
5x5x5=125
125b+2
Cannot be simplified any futher
A line includes the points (0, -8) and (3, 3) find the rate of change of the line
Answer:
11/3 or 11/3x
Step-by-step explanation:
Another term for "Rate of change" is slope.
The usual slope equation is (y2-y1)/(x2-x1)
Plugging in the points we get
(3 - (-8)) / (3 - 0)
(3+8)/(3-0)
(11)/(3)
Which makes the slope 11/3 or 11/3x
Find the area of the circle. Round to the nearest tenth. Use 3.14 or 22/7 for π.
The area of a circle is 158.3 sq. m.
Consider we need to find the area of the given circle.
The radius of a circle is 7.1 m.
The area of a circle is the place occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the circumference of a circle is called the area of the circle.
The area of the circle is:
[tex]A = \pi r^{2}[/tex] , where r is the circle's radius.
Putting r = 7.1 , π = 3.14, we get
[tex]A = 3.14 *(7.1)^{2}[/tex]
A = 158.2874
A ≈ 158.3
So, the area of a circle is 158.3 sq. m.
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The revenue (R) made on the sale of tickets is a function of the price (p) of each
ticket, where R(p) = -40p^2 +400p-640
Pls help!!!
The revenue is maximized when the derivative of R(p) is equal to 0.
R'(p) = -80p + 400 = 0
p = 5
What is a function?A function is a mathematical relationship between two or more variables, where one variable (the output) is determined by the values of the other variables (the inputs). A function can be expressed as an equation, and it describes how the output changes in relation to the inputs.
Therefore, the maximum revenue is achieved when the price of each ticket is $5.
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Find a2, a3, and a4.
a1=0
an=an–1+15
Write your answers as integers or fractions in simplest form.
The values of the terms are a₂ = 15, a₃ = 30 and a₄ = 45
How to determine the value of the terms?The definition of the function is given as
a₁= 0
aₙ = aₙ₋₁ + 15
The above definitions imply that we simply add 15 to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
a₂ = 0 + 15
a₂ = 15
Also, we have
a₃ = 15 + 15
a₃ = 30
Lastly, we have
a₄ = 30 + 15
Evaluate the equation
a₄ = 45
Hence, the value of a₄ is 45
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Pls help I’m so stuck
By evaluating the given equation, we will see that they made 1,524 dollars by selling tickets.
What was the total ticket sales?We know that each adult ticket costs $12 and each student ticket costs $9, then the expression for the total cost is:
c(a, b) = 12a + 9s
Where a is the number of adults and s is the number of students.
Here we know that there where 64 adults and 84 students, so the total cost will be:
c(64, 84) = 12*64 + 9*84 = 1,524
They made $1,524 by selling tickets.
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Quinn ran five times
this week for a total
distance greater than
40 miles. He says that
means he ran, on average,
more than 8 miles on
each run.
For an indirect proof,
what does he need to
assume?
We can assume linear inequality 8x>40 for x>8 for an indirect proof.
What are linear inequalities?
Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.
The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.
e.g. y>x+2
Now,
Given,
Quinn ran total distance>40 mile
No. of times he ran=5
average distance for each run>8
also let x>8 where x=average distance for each run
Hence,
We can assume linear inequality 8x>40 for x>8
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Please help!!!!
If f(x)=-9x+13 and f(x) = -41, find x
The numerical value of x in the function f(x) = -9x + 13 when f(x) = -41 is 6.
What is the value of x in the given function?A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.
Given the data in the question;
f(x) = -9x + 13f(x) = -41x = ?To find the value of x, replace the occurrence of f(x) with -41 in the function and simplify.
f(x) = -9x + 13
-41 = -9x + 13
Collect like terms
9x = 41 + 13
Add 41 and 13
9x = 54
Divide both sides by 9
9x/9 = 54/9
x = 54/9
x = 6
Therefore, the input value x is 6.
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If Elayna bought 18 bags of topsoil and each bag contains 36 pounds, how many total bags did she buy?
Answer: To find the total weight of the bags of topsoil, you can multiply the number of bags by the weight of each bag.
18 bags * 36 pounds/bag = 648 pounds
So, Elayna bought 18 bags of topsoil which is 648 pounds in total.
Step-by-step explanation:
Find the value of x in the acute scalene triangle that has the angles 93° and 46°
The third angle of acute scalene triangle is 41°
Now, According to the question:
The first angle of acute scalene triangle is 93°
The second angle of acute scalene triangle is 46°
Let the third angle of acute scalene triangle is x
We know that:
The sum of the interior angles is always equal to 180 degrees.
Now, 93° + 46° + x = 180°
139° + x = 180°
x = 180° - 139°
x = 41°
Hence, the third angle of acute scalene triangle is 41°
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(a) select one of the pairs of systems and write down its number. (b) for the pair selected, identify each system and state one function of that system. (c) explain how the two systems work together to help maintain homeostasis in an individual.
a. Pair 2 is selected.
b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.
c. The two systems work together by sharing the region of the mouth and upper throat.
First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.
How does the respiratory system and the digestive system work together?The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.
The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.
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Question 3 (2 points)
Lauren deposited $300 to start her savings account. After one year, she had $312 in
her account. If she did not deposit or withdraw any money that year, how much
interest did she earn?
A
She earned $12 at 4% interest rate. The solution has been obtained by using simple interest.
What is simple interest?
Simple interest is the cost of borrowing that is computed using the original principal amount alone and a constant interest rate.
We are given that Lauren deposited $300 to start her savings account and after one year, she had $312 in her account.
This means that the difference between both the amounts is the interest because it is mentioned that she did not deposit or withdraw any money that year.
So, the interest is $12.
The rate of interest is found using simple interest
⇒S = p*r*t
⇒12 = 300*r*1
⇒0.04 = r
This means that interest rate is 4%.
Hence, she earned $12 at 4% interest rate.
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Determine the exact value of cot 3pi/2
put steps please
By trigonometric functions and trigonometric formulas, the exact value of cot (3π / 2) is equal to 0.
How to determine the exact value of a trigonometric function
In this problem we have the case of trigonometric function whose exact value must be found by means of trigonometric functions and trigonometric formulas. Now we proceed to present the entire procedure:
cot (3π / 2)
1 / tan (3π / 2)
Rewrite the function in terms of fundamental trigonometric functions: (sine, cosine)
1 / [sin (3π / 2) / cos (3π / 2)]
cos (3π / 2) / sin (3π / 2)
Then, we get the following exact value:
0 / (- 1)
0
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Select the correct statement in the table.
Tennis balls are traditionally sold in a cylinder which contains three balls. The volume of space in the cylinder not occupied by a
tennis ball is modeled in the following function, where r is the radius of a tennis ball, in inches.
V =
(²) (67)
477-3
Select the true statement in the table below.
-
The factor T2² represents the volume of the can.
The factor 6r represents the width of the can.
The term 41³ represents the volume of the three tennis balls.
The term (1²)(6r) represents the volume of one tennis ball.
The distance between the tennis balls and the cans is 49.46 cubic inches.
What is meant by volume?A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.
Given: Each ball has a diameter of three inches.
Three tennis balls are contained in each can, which is how they are sold.
Each can has a cylindrical shape.
We start by determining each tennis ball's volume.
Because of their spherical shape, their volume is determined by
[tex]$V=\frac{4}{3} \pi r^3$[/tex]
Where [tex]$r=\frac{d}{2}=\frac{3 \text { in }}{2}=1.5 i$[/tex] in
Replacing the radius and using [tex]$\pi \approx 3.14$[/tex], we have
[tex]$V=\frac{4}{3}(3.14)(1.5 \mathrm{in})^3=14.13 \mathrm{in}^3$$[/tex]
Therefore, the volume of each tennis ball exists 14.13 cubic inches, approximately.
Assuming that the diameter of each ball exists congruent with the diameter of the can, we contain the volume of a cylinder defined by
[tex]$V=\pi r^2 h$[/tex]
Where, r = 1.5 in and h = 3(3 in)=9 in, because each can has three balls, and the height exists the sum of all three diameters.
[tex]$V=3.14(1.5 i n)^2(9 i n)=63.59 n^3$$[/tex]
Therefore, the volume of each can exists 63.59 cubic inches, approximately.
The complete question is:
Tennis balls with a 3 inch Diameter are sold in cans of three. The can is a cylinder
A)what is the volume of one tennis ball ?
B)what is the volume of the cylinder ?
C)how much space is not occupied by the tennis balls in the can?
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What is the value of x in this triangle?
Enter your answer in the box.
Answer: 39*
Step-by-step explanation:
102+39= 141
180-141=39
Answer:
x = 39°
Step-by-step explanation:
We know that,
→ Sum of sides of triangle = 180°
Forming the equation,
→ 39° + 102° + x = 180°
Now the value of x will be,
→ 39° + 102° + x = 180°
→ 141° + x = 180°
→ x = 180° - 141°
→ [ x = 39° ]
Hence, the value of x is 39°.
What is the length of the line segment joining the points (-1, 4) and (2 , -5)?
a. 3√2
b. 3√10
c. √2
d. √10
Answer:
b
Step-by-step explanation:
calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 4 ) and (x₂, y₂ ) = (2, - 5 )
d = [tex]\sqrt{(2-(-1))^2+(-5-4)^2}[/tex]
= [tex]\sqrt{(2+1)^2+(-9)^2}[/tex]
= [tex]\sqrt{3^2+81}[/tex]
= [tex]\sqrt{9+81}[/tex]
= [tex]\sqrt{90}[/tex]
= [tex]\sqrt{9(10)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{10}[/tex]
= 3[tex]\sqrt{10}[/tex]
from a pack of cards, 2 cards are drawn in succession and the selected card is not replaced. what is the probability that both the drawn cards are diamonds? (refer to the deck of cards material shared in reference material to get better understanding of cards)
Two cards are drawn in succession from a standard deck. The probability that both the drawn cards are diamonds is 143/2,652
Probability is defined as the ratio of the number of favorable events to the the number of possible outcomes. The probability of an event A is defined as:
P(A) = n(A)/n(S)
Where:
n(A) = number of possible ways the event A occurs
n(S) = total possible outcomes
In a standard deck, there are 52 cards. The number of diamond suit = 13 cards.
First drawn: number of diamond = 13
Hence, P1(diamond) = 13/52
In the second drawn, the number of diamonds left is 13 - 1 = 12, and total number of cards left is 52 - 1 = 51.
Hence, the probability of the second card will be a diamond is:
P2(diamond) = 12/51.
Since those 2 events are independent, the probability that both cards are diamonds is:
P(diamonds) = P1 (diamond) x P2 (diamond)
= (13/52) x (11/51) = 143/2,652
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n engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 280 engines and the mean pressure was 6.6 lbs/square inch. assume the variance is known to be 1 . if the valve was designed to produce a mean pressure of 6.7 lbs/square inch, is there sufficient evidence at the 0.1 level that the valve performs below the specifications? state the null and alternative hypotheses for the above scenario.
Null hypothesis: valve meets specifications. Alternative hypothesis: valve doesn't meet specifications, t-test with p-value < 0.1 to reject Null.
What is null hypothesis ?
The null hypothesis is a arithmetic theory suggesting that no statistical relationship and significance exists in a set of given, single, observed variables between two sets of observed data and measured phenomena.
To test the null hypothesis, we can use a one-sample t-test. The t-statistic for this test is calculated as:
t = (x - μ) / (s / √n)
where x is the sample mean, μ is the population mean (6.7 lbs/square inch in this case), s is the population standard deviation (assumed to be 1), and n is the sample size (280 engines).
The p-value for this test can be calculated using the t-distribution table or a t-test calculator. If the p-value is less than the significance level of 0.1, then we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs below the specifications.
Null hypothesis: valve meets specifications. Alternative hypothesis: valve doesn't meet specifications, t-test with p-value < 0.1 to reject Null.
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What is 2 to the 43000000th power
Step-by-step explanation:
so much sorry about that
Answer: 2^43000000 (the answer is impossibly large)
1. List five different vocabulary words that could be used to describe each given expression.
a-d+c
The five different vocabulary words that could be used to describe the expression are
SummationAlgebraBinaryLinearCombinationHow to determine the vocabulary wordsFrom the question, we have the following parameters that can be used in our computation:
a-d+c
Using the above as a guide, the vocabulary words and the meanings are as follows
Sum: The expression "a-d+c" involves adding the values of a, c and subtracting the value of d, which is a mathematical operation called "sum".Algebraic and Combination: The expression "a-d+c" is a combination of variables and mathematical operations, which falls under the category of Algebraic.Binary: The expression "a-d+c" contains two mathematical operations, subtraction, and addition, and it is called a binary expression.Linear: The expression "a-d+c" is linear since it only contains variables and constants, and it doesn't have any exponents or roots.Read more about expression at
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Which shows how to find 35% of 25 using mental maths?
Only possible answers:
2.5 + 2.5 + 2.5 + 1.25 = 8.75
.25 + .25 + .25 + .25 = 1
3.5 + 3.5 + 3.5 + .35 = 10.85
3.5 + 3.5 + 3.5 + 3.5 = 14
The option that shows how to find 35% of 25 using mental maths is A. 2.5 + 2.5 + 2.5 + 1.25 = 8.75
How to calculate the value?In Mathematics, a percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
In this case, it should be noted that 35% of 25 will be:
= 35% × 25
= 0.35 × 25
= 8.75
Using mental mathematics, the correct option that shows this is A.
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Two friends, Jacob and Ariana, took summer jobs. The equation y = 16. 5 x y=16. 5x represents Jacob's earnings in dollars and cents, y y, for working x x hours. Ariana earned $708 in 24 hours. How much more does Ariana earn per hour than Jacob?
Ariana earned $708 in 24 hours, so $312 more Ariana earn per hour than Jacob.
We have to find how much more Ariana earn per hour than Jacob.
The equation y = 16.5x represents Jacob's earnings in dollars and cents, y, for working x hours.
Ariana earned $708 in 24 hours.
So the value of x = 24
Now putting the value of x in equation y = 16.5x
y = 16.5 × 24
y = 396
Jacob's earnings = $396
Difference between the Ariana earning and Jacob earning = $708 - $396
Difference between the Ariana earning and Jacob earning = $312
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Use the line on the graph to write an equation that represents the function.