Answer:
$122.375
Step-by-step explanation:
To find the total amount and tax, we need to multiply the original price by 1.375 in our case to get tax and the original price:
89×1.375=
$122.375
Quadrilateral DEFG has at least one pair of opposite sides congruent. What types of quadrilaterals meet this condition?
Answer:
Parallelogram, Rectangle, Square, Rhombus, Trapezoid. ... ANSWER Trapezoid: there is one pair of parallel sides
Step-by-step explanation:
there is one pair of parallel sides
Steve uses 14 blue beads and 6 green beads to make a bracelet.
Which ratio compares the number of blue beads to the total number of beads in one bracelet?
Answer:
blue:total
14:20
Answer:
14:20
Step-by-step explanation:
because 14 + 6= 20 so blue beads are 14 and the other is alltogether 20 so it is 14:20 or 14 to 20
The sum of nine and a number
9 + x
sum = addition so the answer would be 9 + ×
In right triangle ABC, m∡C=90° , m∡B=55° , and CA = 10. What is the length of the hypotenuse
Solve each system to find the answer
Given:
The system of equations is
\(5g+4k=10\)
\(-3g-5k=7\)
To find:
The solution of given system of equations.
Solution:
We have,
\(5g+4k=10\) ...(i)
\(-3g-5k=7\) ..(ii)
Multiply (i) by 5 and (ii) by 4.
\(25g+20k=50\) ...(iii)
\(-12g-20k=28\) ..(iv)
Adding (iii) and (iv), we get
\(25g-12g=50+28\)
\(13g=78\)
Divide both sides by 13.
\(g=\dfrac{78}{13}\)
\(g=6\)
Put g=6 in (i).
\(5(6)+4k=10\)
\(30+4k=10\)
\(4k=10-30\)
\(4k=-20\)
Divide both sides by 4.
\(k=-5\)
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
Write your answer using decimals.Use 3.14 for pi.
The area of the composite figure is the sum of the whole area of each shape. Therefore, the area of the figure is 151.585 ft².
How to find the area of a composite figure?The figure above is a composite figure. A composite figure is a shape that has two or more shapes in it.
Therefore, the composite figure can be divided into two rectangles and a quarter circle.
Hence, the area of the composite figure is the sum of the whole individuals area of the shapes.
Hence, the area of the composite figure is the sum of the area of the two rectangle and area of the quarter circle.
area of the composite figure = area of rectangle + area of rectangle + area of quarter circle
area of the composite figure = 5 × 8 + 8 × 6 + 1 / 4 × π × 9²
area of the composite figure = 40 + 48 + 81π / 4
area of the composite figure = 88 + 254.34 / 4
area of the composite figure = 88 + 63.585
area of the composite figure = 151.585 ft²
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A tidal wave caused by an earthquake off the Alaskan coast begins running toward Carmel, California. The water first goes down from its normal level, and then rises an equal distance above its normal level; the water then returns to normal. Assume that the depth of the water varies sinusoidally with time as the wave passes. Suppose the wave, with a period of 20 minutes and an amplitude of 12 meters, approaches a dock in Carmel where the normal depth is 8 meters.
y = 6 sin [(π/10)t] + 8; equation gives us the depth of the water at the dock as a function of time elapsed since the wave started passing the dock.
Define the sinusoidal function?A sinusoidal function is a mathematical function that oscillates or fluctuates in a periodic manner, following a sine or cosine curve.
If the wave approaches a dock in Carmel where the normal depth is 8 meters and varies sinusoidal with time, then we can use the equation for a sinusoidal function:
y = A sin (ωt + φ) + C
where: A is the amplitude of the wave, which is given as 12 meters
ω is the angular frequency, which can be calculated as 2π / T, where T is the period of the wave (20 minutes in this case)
t is the time elapsed since the wave started passing the dock
φ is the phase angle, which we can assume to be 0 since we are not given any information about it
C is the vertical displacement of the wave from the normal depth, which is 8 meters in this case
putting the given values into the equation,
y = 12 sin [(2π/20)t] + 8
Simplifying this equation,
y = 6 sin [(π/10)t] + 8
This equation gives us the depth of the water at the dock as a function of time elapsed since the wave started passing the dock.
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7. If you run a half marathon (21 km) in 2 hours 6 minutes, how much tirne does it take you to run one kilometre?
Answer:
6 minutes per kilometer
Step-by-step explanation:
[] First, let's get one unit. I will be using minutes;
2 hours 6 minutes = 120 mintues + 6 mintues = 126 mintues
[] There are about 21 kilometers in a half-marathon;
126 minutes / 21 kilometers = 6 minutes per kilometer
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
One angle of a right triangle measures 75°. What is the measure of the other acute angle?
Answer:
15
Step-by-step explanation:
A right angle is 90 degrees
The given angle is 75
90 + x + 75 = 180 (all three angles always add to 180 degrees)
165 + x = 180
180-165 = 15
Aisha organized her books for 1/6 and her coin collection for 3/7.
What's the best estimate for the total Aisha spent organizing?
(Brainliest Question)
The best estimate for the total Aisha spent organizing is; 1/2 hour
How to estimate fractions?We are told that Aisha organized her books for 1/6 and her coin collection for 3/7.
Now, normally when we want to find the total, we just add both fractions in this manner;
1/6 + 3/7 = 25/42
Now, since we want to find the best estimate, we will just approximate each fraction individually to get;
1/6 hour is closer to 0 hours than 1/2 hour. Thus;
1/6 hr ≈ 0 hour
3/7 hour is closer to 1/2 hour than 0 hours. Thus;
3/7 hr ≈ 1/2 hour
Thus;
Best estimate for total spent = 0 + 1/2 = 1/2 hour
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On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% percent of the length it was on Monday.
Which expressions could represent how many centimeters long Florencia's hair was after the haircut?
What is h?
maybe 25%
i hope it helped you sorry if it didn't
Answer:
25%
Step-by-step explanation:
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Question 1
Caroline said the absolute value of -25 is 25. Is she correct? Explain.
Answer:
lolllll
Step-by-step explanation:
!!!!WILL MARK BRAINLIEST!!!!
Which equation best represents the relationship between x and y in the graph?
Answer:
A
Step-by-step explanation:
The y intercept of the graph is at -3, meaning it can only be A or B.
Now that we've narrowed it down, look at the slope. When it comes to slope, it is rise/run. Meaning that if the slope is -4/3, you would go from a point on the line, down 4 spaces and to the right 3 spaces. If that was the slope, your end point would still be on the line.
Let's use the y intercept of (0, -3) as our start point. if you go down 4 spaces and right 3, that leaves you at (3, -7). But that point doesn't fit the line, so that can't be your slope.
This means your slope is -3/4, which if you checkit, does match up to the graph. Meaning the answer is A.
10,996 rounded to the neart thousand
11,000
Answer:11,000
Answer:
11000
Step-by-step explanation:
Find the number in the thousand place
0
and look one place to the right for the rounding digit
9
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
Find the range:
7.5, 10.3, 4.6, 2.8, 2.6, 10.8, 9.4
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
10.8−2.6=8.2.
Range = 8.2
there is also a 30% chance that fund b will rise in price. what is the probability that a rises and b does not rise in price?
There is a 35% chance that fund A rises and fund B does not rise in price.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
To calculate the probability that fund A rises and fund B does not rise in price, we need to multiply the probability of fund A rising (let's assume it is 50% for the sake of this example) by the probability of fund B not rising (which is 70%). So the probability would be:
0.5 (probability of fund A rising) x 0.7 (probability of fund B not rising) = 0.35 or 35%.
Therefore, there is a 35% chance that fund A rises and fund B does not rise in price.
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Given: 4+x=16
What is the value of x?
Need this answered ASAP
Answer:
To get the answer for X we have to subtract 16 from 4 which gives us 12
X=12
Hope this helps.
Answer:
4+X= 16
X=16-4
X=12
*To find X , you need to minus 16 by four. That is because you have to move (+4) to the other side (change sides,change signs). So (+4) becomes (-4) so 16-4 =12
A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount of money in the cash register is 580 dollars. How many ten's are in the cash register?
Answer:
29
Step-by-step explanation:
Since the register contains only five dollar and ten dollar bills, we have to give an unknown to one of them. Hence we let ten dollar bills be X
if ten dollar bills are X then five dollar bills will be 2x. the summation of both of them is 580.
10X + 5(2x) = 580
20x = 580
X = 29
thus there are 29 ten's in the register
2 Points
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f- g)(x).
O A. 5x-1
O B. 5x - 3
O C. X-3
O D. 3 - x
SUBN
Answer:
x-3
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1,
(f- g)(x) = 3x - 2 - ( 2x+1)
Distribute
= 3x -2 -2x-1
Combine like terms
x-3
What kind of triangle is this please help me find the relationship and value please.
Answer: x=14°
Step-by-step explanation:
All angles of a triangle added together is 180°. So we can add the angles together.
7x-11+5x-2+2x-3=180 [combine like terms]
14x-16=180 [add both sides by 16]
14x=196 [divide both sides by 14]
x=14
Therefore, x=14°.
It is assumed that approximately 15% of adults in the US. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not? Choose the correct answer below ○ A. O B. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent No, because the 100 adults were selected without replacement, the selections are dependent. No, because the probability of being right-handed is greater, x must count the number of right-handed adults. C. O D.
D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.
The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.
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Solve the equation showing all work.
X²-4x+3=0
x2−4x+3=0
For this equation: a=1, b=-4, c=3
1x2+−4x+3=0
Step 1: Use quadratic formula with a=1, b=-4, c=3.
x=
−b±√b2−4ac
2a
x=
−(−4)±√(−4)2−4(1)(3)
2(1)
x=
4±√4
2
x=3 or x=1
Answer:
x = 1, x = 3
Step-by-step explanation:
x² - 4x + 3 = 0
consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (- 4)
the factors are - 1 and - 3 , since
- 1 × - 3 = + 3 and - 1 - 3 = - 4 , then
(x - 1)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
math math math math math
Answer:
85 km
Step-by-step explanation:
calculate the five-number summary and construct a box plot of the following data set: 1.7 3.2 7.6 1.6 2.6 7.5 1.6 2.2 5.5 1.5 2.1 4.9 1.5 2.0 4.0
The five-number summary for the given data set is:
Minimum: 1.5
Q1: 1.6
Median (Q2): 2.6
Q3: 4.0
Maximum: 7.6
To calculate the five-number summary and construct a box plot for the given data set:
Step 1: Arrange the data in ascending order:
1.5, 1.5, 1.6, 1.6, 1.7, 2.0, 2.1, 2.2, 2.6, 3.2, 4.0, 4.9, 5.5, 7.5, 7.6
Step 2: Find the minimum and maximum values:
Minimum value: 1.5
Maximum value: 7.6
Step 3: Find the median (Q2):
Since the data set has an odd number of values, the median is the middle value.
Median (Q2): 2.6
Step 4: Find the lower quartile (Q1):
The lower quartile is the median of the lower half of the data set.
Lower half: 1.5, 1.5, 1.6, 1.6, 1.7, 2.0, 2.1
Median of lower half (Q1): 1.6
Step 5: Find the upper quartile (Q3):
The upper quartile is the median of the upper half of the data set.
Upper half: 2.2, 2.6, 3.2, 4.0, 4.9, 5.5, 7.5, 7.6
Median of upper half (Q3): 4.0
Step 6: Find the interquartile range (IQR):
IQR = Q3 - Q1 = 4.0 - 1.6 = 2.4
Step 7: Calculate the lower and upper fence:
Lower fence = Q1 - 1.5 * IQR = 1.6 - 1.5 * 2.4 = -2.1 (Since it is below the minimum value, we ignore it for the box plot)
Upper fence = Q3 + 1.5 * IQR = 4.0 + 1.5 * 2.4 = 7.4
Step 8: Construct the box plot:
Using the minimum, Q1, median (Q2), Q3, and maximum, we can construct the box plot. The fences are represented by whiskers (lines) outside the box. Any data points beyond the fences are considered outliers.
Box plot:
| o
| o---o---o
| | |
+--+-------+--
Minimum Maximum
Q1 Q2 Q3
The five-number summary for the given data set is:
Minimum: 1.5
Q1: 1.6
Median (Q2): 2.6
Q3: 4.0
Maximum: 7.6
Note: The box plot representation might not be accurate due to the limitations of text formatting.
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Solve the proportion
With a Step by step explanation
X should be equal to 0.71777...
6. help me out please ill mark you brainlist
Answer:
w = 5
Step-by-step explanation:
Combining like terms is a very important part to this equation!
5.2w - 1.4 = 3.2w + 8.6
I added 1.4 to the right side first, though you must do it to the left side of the equation as well
5.2w - 1.4 + (1.4) = 3.2w + 8.6 + (1.4)
5.2w = 3.2w + 10
Combine the remaining like terms. I subtracted 3.2w from both sides.
5.2w + (-3.2w) = 3.2w + (-3.2) +10
2w = 10
Now divide
2w = 10
w = \(\frac{10}2}\)
w = 5
If the area of rectangular plot is 180sq. M and its length is 15m, then its breadth is
The breadth of the rectangular plot is equal to the area divided by the length. Therefore, the breadth of the plot is 180 divided by 15, which is equal to 12 meters.
The area of a rectangular plot is equal to the length multiplied by the breadth. This means that if the area of the plot is 180 square meters and the length is 15 meters, then the breadth can be calculated by dividing the area by the length. Therefore, the breadth of the plot is 180 divided by 15, which is equal to 12 meters. This means that the area of the plot is equal to 15 multiplied by 12 which is equal to 180 square meters. As the area and the length are given, the breadth can be easily calculated by dividing the area by the length. This is a simple way to calculate the breadth of a rectangular plot when the area and the length are known.
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I need to know the answer
The compound interval for the given interval is (-∞, ∞).
What is compound inequality?A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".
The given intervals are (-∞, -2] or [-3, ∞).
Now, the compound interval is (-∞, ∞)
Thus, the interval notation is -∞<x<∞
Therefore, the compound interval for the given interval is (-∞, ∞).
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Find what Y equals
y+3= -5
Answer:
-8
Step-by-step explanation:
-8+3=-5
RAMP The height of a ramp can be modeled by f(x) = −1/12||x−24||+2 , where f(x) is the height of the ramp, in feet, and x is the distance from one side of the ramp. Graph the function on a separate piece of paper. Find and interpret the key features of the graph in the context of the situation.
The graph of the function is attached
The domain is the set of all real numbers and the range is (-∝, 2]
The graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Function of the ramp height: f(x) = -1/2|x - 24| + 2
Next, we plot the ramp height function, f(x) = -1/2|x - 24| + 2 on a graph
See attachment for the graph of the function
The key features of the functionThe key features to explore here are the domain
The above equation is an absolute value equation
An absolute value equation can take any value as its input
This means that the domain is the set of all real numbers
When represented as an interval, we have
The domain is (-∝, ∝)
For the range
Here, we have
f(x) = -1/2|x - 24| + 2
The above equation is an absolute value function
An absolute value function represented as
y = a|x - h| + k
Where
Vertex = (h, k)
So, we have
Vertex = (24, 2)
Remove the x value
y = 2
Because the leading coefficient is negative, then the vertex is a maximum
i.e. (-∝, 2]
So, the range is (-∝, 2]
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