Cos a = adjacent side / hypotenuse
Where:
a= angle = 37°
adjacent side = 20
Hypotenuse = x (the longest side , AC)
Replacing:
Cos (37)=20/ x (option B)
The phone jose wants it on sale for 20% off. The original cost of the phone is $775. How much will he need to pay after the discount with an 8% tax? I need to show my work. Please help
Answer:
$669.60
Step-by-step explanation:
item with an original price tag of $775.00 that is marked down by 20% will have a sales price of $620.00 plus 8% tax
What is the value of "2 + 3x" if x = ½? *
Answer:
3.5 or 3 1/2
Step-by-step explanation:
2 + (3*1/2) = 3.5, which is equal to 3 1/2.
Answer:
Mixed fraction: 3 1/2
Improper fraction: 7/2
Step-by-step explanation:
2+3/2
1 1/2+2= 3 1/2
anyone help me, let's prove
Answer:
In my opinion the limit is equal to 1 not 0, sorry.
Step-by-step explanation: 6 25 13 43
lim n ⇒∞ ((2n - 1)/2n)
lim n ⇒∞ (2n/2n) - 1)/2n) 2n/2n = 1 1/∞ = 0
= 1 - 0
= 1
when I graphed the function I also got 1
Jeremiah has $35 to spend on items for his dog at the pet store.
The table shows the cost of the items. He bought a collar, two toys,
two biscuits, and a ball. Write an addition equation that can be used
to determine how much money Jeremiah still has to spend. Then
solve the equation.
The equation that determines the amount x that Jeremiah still has to spend is given as follows:
c + 2t + 2bi + ba + x = 35
x = 35 - (c + 2t + 2bi + ba).
In which:
c is the cost of a collar.t is the cost of a toy.bi is the cost of a biscuit.ba is the cost of a ball.How to obtain the amount that Jeremiah still has to spend?The amount that Jeremiah still has to spend is obtained applying the proportions in the context of the problem.
Considering the meaning of each variable given in this problem, the equation modeling his total spending is given as follows:
c + 2t + 2bi + ba + x = 35
The solution is obtained isolating the variable x, as follows:
x = 35 - (c + 2t + 2bi + ba).
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A hardware store office customers I coupon for $25 off. The regular price of a ladder is $250. If a customer uses the coupon what percent will the customer save.
Answer:
About 11%
Step-by-step explanation:
250-25=225
250/225=1.11 repeating
[25x^{2} + 16y^{2}
plz factor
Answer:
\((5x)^2+(4y)^2\)
Step-by-step explanation:
\(25x^2+16y^2=\\(5x)^2+(4y)^2\)
Hope this helps!
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:c
Step-by-step explanation: commutative property is just moving things around, so that should work.
A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t minutes. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute.??t (min) 36 38 40 42 44?Heartbeats 2510 2647 2784 2915 3048??The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with the given values of t. (Round your answers to one decimal place.)??
(a) t = 36 and t = 42
(b) t = 38 and t = 42
(c) t = 40 and t = 42
(d) t = 42 and t = 44
Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .
What do coordinates mean?When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.
Here,
The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:
Heartbeat change / time change is the trend.
The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.
A)Using coordinates 36, 2510, and 42, 2915 as examples:
Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75
b) Using coordinates (38, 2647) and (42, 2915), respectively:
Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67
c) Applying the values (40, 2784) and (42, 2915):
Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5
Using coordinates (42, 2915), and (44, 3048), respectively:
Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5
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Given: ABCD is a parallelogram.
Prove: ∠A ≅ ∠C and ∠B ≅ ∠D
Parallelogram A B C D is shown.
By the definition of a ▱, AD∥BC and AB∥DC.
Using, AD as a transversal, ∠A and ∠
are same-side interior angles, so they are
. Using side
as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.
Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠
.
A parallelogram is a quadrilateral with four sides and the opposite sides of the parallelogram are equal and parallel.
How to show the proof?In the given figure, AB||DC. AD is the transversal, such that:
∠A + ∠D = 180-degrees.
The parallelogram is a quadrilateral with equal such that the interior angles present on the same side of the transversal are supplementary. The sum of supplementary angles is equal to 180-degrees.
From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.
From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.
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An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
Which triangle is a reflection of the green triangle
Tthe triangle that is a reflection of the green triangle is figure 1
Which triangle is a reflection of the green triangleFrom the question, we have the following parameters that can be used in our computation:
The figures
Where, we have:
Figure 1 and the green figure have the opposite orientationFigure 1 and the green figure have the same sizeThis means that the triangle that is a reflection of the green triangle is figure 1
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find the surface area of the net
ILL MARK AS BRAILIEST
Answer:
200
Step-by-step explanation:
Surface are of cube = 6a^2
I need a little more help
Find the equation of the line with slope m=−1 that contains the point (5,−5).
Answer:
y = -x
Step-by-step explanation:
the formula for the equation of a straight line is:
y = mx + c
where m is the gradient (slope) of the line and c is the y-interxept
We are given the slope m = -1 and the point (5,-5)
y = -5, m = -1 and x = 5
Substitute these values into the equation to find c:
y = mx + c
-5 = -1(5) + c
-5 = -5 + c
-5 + 5 = c
c = 0
So the equation is:
y = -x
Which of the following expressions is equivalent to the one shown below?71377OA. 791OB. 720O C. 76O D. 75
Given
\(\frac{7^{13}}{7^7}\)Find
Equivalent expression
Explanation
Here , we use laws of exponents
\(\frac{a^m}{a^n}=a^{m-n}\)so ,
\(\begin{gathered} =\frac{7^{13}}{7^7} \\ \\ =7^{13-7} \\ \\ =7^6 \end{gathered}\)Final Answer
Therefore , the correct option is C
the linear function passes through the points (7,-19) and (-3,7). which statement must be true
Write an equation of the parabola that passes through the point (62,-490) and has x-intercept-8 and 72. Then find the average rate of change from x =-8 to x=2.
Part 1
The equation is \(y=a(x+8)(x-72)\).
Using the point \((62, -490)\) to solve for \(a\),
\(-490=a(62+8)(62-72) \implies a=\frac{7}{10}\\\\\therefore \boxed{y=\frac{7}{10}(x+8)(x-72)}\)
Part 2
When \(x=-8\), \(y=0\).
When \(x=2\), \(y=-490\).
So, the average rate of change is \(\frac{-490-0}{2-(-8)}=\boxed{-49}\)
What is an inscribed polygon is being constructed
Answer:
An inscribed polygon might refer to any
polygon which is inscribed in a shape,
especially: A cyclic polygon, which is
inscribed in a circle
Answer:
A square
Step-by-step explanation:
Can I have help, please?
please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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How to do because I dont know need help ASAP 20 points
Some arithmetic sequences could be easier to write as functions. As long as I know what value "n" has, I can find out any term in a particular Sequence whenever I need to. You might choose the implicit term over the prior term of a Sequence if it is known.
What is meant by Arithmetic Sequences?The arithmetic mean can be calculated as one approach. Divide the total by the total number of values after adding up all the values.
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.
Some arithmetic sequences could be easier to write as functions. You are aware of the prior term.
Consider that we only have the numbers (...,4,...) from an arithmetic sequence with a common difference of 5.
The complete question is:
You are given the first four terms of an arithmetic sequence. Under what conditions might a recursive formula be preferred over the explicit formula? Under what conditions might an explicit formula be preferred over the recursive formula?
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Please answer this correctly
Answer:
Chicken: 36%
Beef: 34%
Black Bean: 30%
Hope this helps!
Convert 85.8\%85.8% to a fraction in simplest form and a decimal
Answer:
Step-by-step explanation:
1/1. The answer is just one. If the answer is a number over itself such as, b/b then it is just b.
The components of vectors A and B are given below: A (5.1,0) B (-2.6, -4.3) What is the magnitude of vector sum (A+B)?
The magnitude of the vector sum (A + B) is approximately 4.974.
To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.
Given:
Vector A: (5.1, 0)
Vector B: (-2.6, -4.3)
To find the vector sum (A + B), we add the corresponding components:
(A + B) = (5.1 + (-2.6), 0 + (-4.3))
= (2.5, -4.3)
Now, let's calculate the magnitude of the vector (2.5, -4.3):
Magnitude = sqrt((2.5)^2 + (-4.3)^2)
= sqrt(6.25 + 18.49)
= sqrt(24.74)
≈ 4.974
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When f(x) = 9x² - 5x + 3, evaluate f(-3)
f(− 3) =
Question Help: Video
Add Work
Submit Question
Jump to Answer
Answer:
Step-by-step explanation:
Remark
f(x) = 9x^2 - 5x + 3 is given. The notation means that wherever you see and x on the right, you replace it with the x in the brackes on the left. f(3) is a direction, not anything you have to adjust or manipulate.
Solution
f(-3) = 9*(-3^2) - 5*(-3) + 3 (-(3))^2 = -3 * -3 = 9 two minuses make a +
f(-3) = 9*(-3)(-3) + 15 + 3 -3 times an operation of minus equals a +
f(-3) = 9 * 9 + 15 + 3
f(-3) = 81 + 15 + 3
Answer: f(-3) = 99
A lorry left town A to town B and maintained an average speed of 50km/hr. A car left town A for town B 42 minutes later maintained an average speed of 80km/hr . At the time car arrived to town B the lorry had 25km to cover to town B. Determine the distance between town A and B
The distance between town A and town B is 93.5 km.
Solving for the distance between town A and town B:
Let's first convert the 42 minutes delay of the car to hours:
42 minutes = 42/60 hours
= 0.7 hours
Now, let's assume that the time it took for the car to travel from A to B is t hours.
The distance between A and B is the same for both the lorry and the car, so we can set up an equation:
Distance = Speed x Time
For the lorry:
Distance = 50t
For the car:
Distance = 80 (t-0.7)
We know that when the car arrived at B, the lorry had 25km left to cover. So:
50t - Distance covered by lorry = 25
50t - (50t - 25) = 25
Simplifying:
25 = 25
This equation is always true, which means our assumptions are correct.
Therefore, we can equate the two distance equations:
50t = 80(t-0.7)
50t = 80t - 56
30t = 56
t = 1.87 hours
Finally, we can use the distance equation with either the lorry or the car to find the distance between A and B:
Distance = Speed x Time
Distance = 50 x 1.87
Distance = 93.5 km
So the distance between town A and town B is 93.5 km.
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Not understanding this
Solving the provided question we can say that the exponential growth \(A = P2^{kt} = > 450 = > ln(4.5) = 6k\) = > \({\frac{ln(4.5)}{6} } = k = 0.250679566129...\)
What is exponential growth?The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth. Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially. The exponential function has the formula f(x)=abx where a and b are positive real values. Sketch exponential functions using the app below for different values of a and b. Describe verbally how modifying a and b changes the graph's form.
Here,
the exponential growth
\(A = P2^{kt}\\450 = 100e^{6k}\\4.5 = e^{6k}\\ln(4.5) = 6k\\{\frac{ln(4.5)}{6} } = k = 0.250679566129...\)
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The growth is decreasing at the rate of 0.035 × 100 = 3.50%. Thus, option C is correct.
What is exponential growth?The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth.
Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially.
The exponential function has the formula f(x)=abx where a and b are positive real values. Sketch exponential functions using the app below for different values of a and b. Describe verbally how modifying a and b changes the graph's form.
Here, the exponential growth is in decimals, meaning the growth is decreasing at the rate of 0.035 × 100 = 3.50%
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Match the like terms.
a.
2y? 2
b.
2
10x
c. -9x
d. 2.7yz
3
1. -3%
3:2
2. 57 ²2
3. -6yz?
4. 5.
Answer:
a . 2
b . 1
c . 4
d . 3
I hope I helped you^_^
5. Apply Math Models A science teacher uses a fair spinner
simulate choosing 1 of 5 different field trips for her classes.
spinner has 5 equal sections, each representing a different
trip. The teacher spins the spinner 50 times and records the
results in the table below.
Experimental and theoretical probabilities do not match; Field Trip B is the most popular with 32% relative frequency.
What is frequency?
Frequency refers to the number of times an event or observation occurs within a given period, sample size, or population. In the context of data analysis, frequency is often used to describe how often a particular value or category appears in a dataset or sample. It can be expressed as an absolute frequency (the actual number of times an event occurred) or a relative frequency (the proportion or percentage of times an event occurred compared to the total number of observations).
The experimental probability of selecting each field trip can be calculated by dividing the number of times each trip was selected by the total number of spins. For example, the experimental probability of selecting Field Trip A is 8/50 = 0.16 or 16%, the experimental probability of selecting Field Trip B is 16/50 = 0.32 or 32%, and so on.
The theoretical probability of selecting each field trip is 1/5 or 0.2 or 20%. This is because the spinner has 5 equal sections, and each section represents a different trip.
The experimental and theoretical probabilities do not match exactly. For example, the experimental of selecting Field Trip B is 0.32 or 32%, while the theoretical probability is only 0.2 or 20%. This could be due to chance or random variation, as the teacher only spun the spinner 50 times. With a larger sample size, the experimental and theoretical probabilities should converge closer to each other.
The relative frequency of selecting each field trip can be calculated by dividing the number of times each trip was selected by the total number of spins, and then multiplying by 100 to express it as a percentage. For example, the relative frequency of selecting Field Trip A is (8/50) x 100 = 16%, the relative frequency of selecting Field Trip B is (16/50) x 100 = 32%, and so on.
Based on the data, Field Trip B appears to be the most popular, as it was selected the most number of times (16 times out of 50 spins).
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Commplete Question:
A science teacher uses a fair spinner to simulate choosing one of five different field trips for her classes. The spinner has 5 equal sections, each representing a different trip. The teacher spins the spinner 50 times and records the results in the table below:
Field Trip Number of times selected
A 8
B 16
C 9
D 12
E 5
Apply math models to analyze the data and answer the following questions:
What is the experimental probability of selecting each field trip?
What is the theoretical probability of selecting each field trip?
Do the experimental and theoretical probabilities match? If not, what could be the reason for the difference?
What is the relative frequency of selecting each field trip?
Based on the data, which field trip appears to be the most popular?
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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