Answer:
should be 489.13
Step-by-step explanation:
A room contains 2 parrots, 2 dogs, 1 cat, and 3 turtles. One animal is chosen at random. What is the probability that the animal chosen is a bird?
30 %
25 %
20%
40%
Answer:
25%
Step-by-step explanation:
There are 2 parrots out of 8 animals. Probability is 2/8 or 1/4 or 25%
please help!!!!!! A rectangle and a parallelogram have the same base and the same height. How does the area of the parallelogram compare to the area of the rectangle? Explain.
Answer:
Equal Areas
Step-by-step explanation:
Area of a Rectangle =Base X Height
Area of a Parallelogram =Base X Height
If the rectangle and a parallelogram have the same base and the same height, then their areas are equal.
Take for an example,
A rectangle with a base of 5 cm and a height of 6cm
Area of the Rectangle =5*6=30 Square Centimeters.For a parallelogram with same base and height
Area of the parallelogram =5*6=30 Square Centimeters,
Final answer:
A rectangle and a parallelogram with the same base and height have equal areas as both can be calculated using the formula Base x Height = Area, disregarding the shape's orientation.
Explanation:
A rectangle and a parallelogram with the same base and height will have the same area. This is because the area of both shapes can be calculated by multiplying their base by their height. For the rectangle, this is straightforward as the height is perpendicular to the base. In the case of a parallelogram, the height is also considered perpendicular to the base, but it might be oriented at an angle relative to the base's length. Despite these differences in shape orientation, the calculation Base x Height = Area still applies, resulting in equal areas if the base and height measurements are the same.
Examine the diagram to answer the question.
A circle with its center at (negative 0, 0) and passing through point (negative 3, negative 4).
What is the equation of the circle?
x2+y2=5
x2+y2=5–√
x2+y2=25
x2+y2=10
Answer:
x^2 + y^2 = 25 (third one)
Step-by-step explanation:
formula is x^2 + y^2 = r^2 (r = the radius)
the radius is 5 so r^2 is 25.
The equation of the circle is x² + y² = 5², is x²+ y² = 25.
To determine the equation of the circle with its center at (-0, 0) and passing through the point (-3, -4), use the standard equation of a circle:
(x - h)² + (y - k)² = r²
Where (h, k) represents the center coordinates of the circle and r represents the radius.
In this case, the center of the circle is (-0, 0), so the equation becomes:
(x - 0)² + (y - 0)² = r²
Simplifying:
x² + y² = r²
to find the radius (r). Since the circle passes through the point (-3, -4), we can use the distance formula to find the radius:
r = √((x2 - x1)²+ (y2 - y1)²)
r = √((-3 - 0)² + (-4 - 0)²)
r = √(9 + 16)
r = √25
r = 5
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A department store is selling a watch with an initial price of 340. if the price of the watch is marked down by 35%, what is the sale price
Answer:
$221
Step-by-step explanation:
First we need to find what is 35% of 340. To do this, we multiply 340 by 0.35. This gives us 119. Because this is the amount they are taking off, we need to subtract it from the initial price. 340-119=221. Therefore the price after being marked down is $221 :)
Create the inequality that describes the scenario.
Answer:
y<.73x+2
Step-by-step explanation:
To create an inequality that describes a scenario, you need to identify the relationship between two metric measurements. You can represent this inequality using appropriate symbols and sketch a graph to visualize the scenario.
Explanation:To create an inequality that describes the scenario, you need to identify the relationship between two metric measurements.
For example, let's say we have two cars and we want to describe the age of one car relative to the other.
If Car A is at most 5 years old, we can represent this inequality as age of Car A ≤ 5.
To sketch the graph, you would plot the age of Car A on the x-axis and shade the area that represents Car A being at most 5 years old.
In the week that ended on January 4, there were 24 cases of flu reported in a city’s hospital. In the 5 weeks that followed, the number of new cases reported each week had grown exponentially and can be modeled by this graph.
Final answer:
The question involves analyzing the exponential growth of influenza cases and understanding historical flu pandemics, from the model of cases' augmentation in the hospital to societal impacts and public health responses, which falls within the field of Biology for High School students.
Explanation:
The discussion around the reported cases of flu, responses to outbreaks, and historical flu data primarily involves understanding trends in influenza incidences and epidemiology, which is a field within Biology. When analyzing how flu cases reported in a hospital grow, utilizing an exponential model suggests a mathematical approach to biological data. This is a common method in epidemiology for tracking the spread of diseases. Moreover, looking at past flu pandemics, the focus shifts to the interaction between the disease and society, and how responses such as quarantine and public health measures impact the containment and eventual decline of a pandemic. Historical data can provide insights into how a disease progresses through a population, the impact on the healthcare system, and how public health responses can mitigate these effects.
For example, during the 2007-2008 influenza season, the United States saw an abnormal increase in emergency department visits for influenza-like symptoms. In the context of the 2009-2010 flu pandemic, which resulted in a significant number of worldwide deaths, we can see the importance of quick response and effective public health strategies in areas like the United States. Data showing the number of cases and deaths over time highlight how the course of an outbreak or a pandemic can change based on these factors and natural disease progression.
Create your own equation chain using these numbers for the variables: a = 10, b = 6, c = 18, and d = 3.
Answer:
a + b + d - 1 = c
Step-by-step explanation:
a + b + d - 1 = c
10 + 6 + 3 - 1 = 18
Determine the solutions of the quadratic equation, 2 x squared minus 8 x plus 6 equals 0 using the quadratic formula. x equals the fraction with numerator negative b plus or minus the square root of b squared minus 4 a. c and denominator 2 a.
Answer:
1, 3
Step-by-step explanation:
2x^2 - 8x + 6 = 0 -->
x^2 - 4x + 3 = 0
(x-1)(x-3) = 0
x = 1, 3
OR
2x^2 - 8x + 6 = 0 -->
x^2 - 4x + 3 = 0 -->
(-(-4) +-sqrt((-4*-4) -4(1 * 3)))/2 -->
(4 +-sqrt(4))/2 -->
(4 +/-2)/2 -->
6/2 or 2/2 -->
3, 1
Final answer:
The solutions to the quadratic equation 2x^2 - 8x + 6 = 0, found using the quadratic formula, are x = 1 and x = 3.
Explanation:
To find the solutions to the quadratic equation 2x^2 - 8x + 6 = 0 using the quadratic formula, we first identify the coefficients: a = 2, b = -8, and c = 6. Then, we substitute these values into the quadratic formula 'x = (-b ± √(b^2 - 4ac)) / (2a)'. The solutions can be found by carrying out the arithmetic operations.
Plugging the values into the formula gives us:
x = (8 ± √((-8)^2 - 4*2*6)) / (4)
x = (8 ± √(64 - 48)) / (4)
x = (8 ± √(16)) / (4)
x = (8 ± 4) / 4
Therefore, we have two solutions:
x = (8 + 4) / 4 = 12 / 4 = 3
x = (8 - 4) / 4 = 4 / 4 = 1
So, the solutions to the equation 2x^2 - 8x + 6 = 0 are x = 1 and x = 3.
PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER SOLVES THIS FIRST ITS A GRADE :)!!
Answer:
B- the volleyball one
Step-by-step explanation:
A negative correlation is a relation where one variable goes up and another variable goes down. One variable in this is the volley ball time. Another is the amount of free time. As the time spent on volley ball goes up, the free time goes down and vice versa.
I think it's option D, let me know if this helps
What is the sum of the first five terms of the geometric sequence in which
a1 = 3 and r= 1/3?
Express your answer as an improper fraction using the slash (/) key and no
spaces.
Final answer:
The sum of the first five terms of the geometric sequence with a1 = 3 and r = 1/3 is 121/81.
Explanation:
The sum of the first five terms of a geometric sequence where a1 = 3 and r= 1/3 is found using the formula for the sum of a geometric series Sn = a1 * (1 - rn) / (1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms. Plugging our values into the formula, we get:
S5 = 3 * (1 - (1/3)5) / (1 - 1/3)
First, we calculate (1/3)5, which is 1/243. Then we can rewrite the equation:
S5 = 3 * (1 - 1/243) / (2/3)
Subtracting inside the brackets gives us 242/243. The division by 2/3 is equivalent to multiplying by 3/2, resulting in:
S5 = 3 * (242/243) * (3/2) = 9/2 * 242/243
Finally, we multiply the fractions:
S5 = 726/486
Reducing this to simplest terms gives:
S5 = 121/81
Final answer:
To find the sum of the first five terms of a geometric sequence with a = 3 and r = 1/3, use the formula for the sum of a geometric series to get 242/81.
Explanation:
The sum of the first five terms of a geometric sequence can be calculated using the formula for the sum of a geometric series.
Given a1 = 3 and r = 1/3, the sum of the first five terms is 3(1 - (1/3)⁵) / (1 - 1/3).
Plugging in the values, the sum is (3 * 242) / 243 = 726 / 243 = 242 / 81.
what is the area of the triangle in units
Answer:
14
Step-by-step explanation:
4 times 7 (28) divided by 2 (14)
The area of a triangle is base times height times 1/2
17.0027992+z= 35.0780212 I need to solve for z
Answer:
z= 18.075222
Step-by-step explanation:
Z=35.0780212-17.0027992
so z= 18.075222
Answer:
18.075222
Step-by-step explanation:
17.0027992+z=35.0780212
leave z so that it's by itself by subtracting.
z=35.0780212-17.0027992
then solve
z=18.075222
PLEASE HELPPPPPPPP ME
Answer:
12.87
Step-by-step explanation:
If the angle of depression is 25, then the angle of elevation is also 25.
You need to use tangent for this problem. (opposite and adjacent sides)
Use tan(25)= 6/x
Divide 6 by tan(25) = 12.87
The equation of a circle is x2+y2+10x−4y−20=0 .
What is the radius of the circle?
Enter your answer in the box.
Answer:
7
Step-by-step explanation:
Let's start by converting this to standard form.
[tex]x^2+10x+y^2-4y=20\\(x^2+10x+25)-25+(y^2-4y+4)-4=20\\(x+5)^2+(y-2)^2=49[/tex]
The center of the circle is at (-5,2), and the radius is [tex]\sqrt{49}=7[/tex] units. Hope this helps!
The radius of the circle is r = 7 units
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be r
Now , the equation of circle is
x² + y² + 10x - 4y - 20 = 0
And , standard form of a circle is
( x - h )² + ( y - k )² = r²
We need to complete the square for both the x and y terms in the given equation:
x² + y² + 10x - 4y - 20 = 0
( x² + 10x + 25 ) + ( y² - 4y + 4 ) - 49 = 0
On Adding and subtracting constants to complete the square
( x + 5 )² + ( y - 2 )² = 49
Now we can see that the equation is in standard form.
The center of the circle is at (-5, 2), and the radius is the square root of 49, which is 7
Hence , the radius is 7 units
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The mean height of a American males is 69.5 inches. The height of the 43 male presidents have a mean 70.78 inches and a standard deviation of 2.77 inches. Treating the 43 presidents as a simple random sample , determine if there is evidence to suggest that the us presidents are taller than the average American male .
Answer:
American presidents are taller than the average American man
Step-by-step explanation:
We have to:
H0: m = 69.5
Ha: m> 69.5
Since the population standard deviation is unknown and the hypothesis test of the population mean, the t-test should be used. Here the sample size is large, so we can assume that the sample distribution of the sample mean It is normal.
sd = 2.77, x = 70.78 and n = 43
Then the test statistics will be:
t = (x - m) / (s / n ^ (1/2))
replacing
t = (70.78 - 69.5) / (2.77 / 43 ^ (1/2))
t = 3.03
Here the test is correct and the degree of freedom of the test is df = n-1 = 43-1 = 42.
Critical approach:
So
alpha = 0.05, the critical value of the test is 1,682.
Rejection region:
If t> 1,682, reject the null hypothesis.
Since the value of the test statistics is greater than the critical value, we reject the null hypothesis.
P-value approach:
The p-value using the Excel function "= TDIST (3,030,42,1)" is:
p value = 0.0021
Since the p-value is less than α = 0.05, we reject the null hypothesis.
Which means that American presidents are taller than the average American man.
Answer:
American presidents are taller than the average American man
Step-by-step explanation:
Given Data :
sd = 2.77, x = 70.78 n = 43
Test statistics will be:
t = (x - m) / (s / n ^ (1/2))
t = (70.78 - 69.5) / (2.77 / 43 ^ (1/2))
t = 3.03
df = n-1 = 43-1 = 42.
Thus the American presidents are taller than the average American man
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Which functions represent a horizontal translation to the left of the parent function f(x) = In x?
Check all that apply.
g(x) = 3 In(x - 1) + 6
h(x) = 3 In(x + 3) + 1
r(x) = -3 In(x + 1) + 3
s(x) = -3 In(x) - 3
p(x) = In(x + 2) - 2
Answer:
Step-by-step explanation:
Answer:
B,C,E
Step-by-step explanation:
What is the probability that a red 10 is drawn in a regular deck of cards?
Answer:
1/26 or 1 out of 26
Step-by-step explanation:
only 2 red tens
52 cards in a deck
2/52=1/26
A tailor pays $10.25 per yard for wool and pays $5.75 per yard for cotton. He bought 4.8 yards of cotton and spent a total of $85.00 on the
two types of fabric.
How many yards of wool did he buy?
A. 4.1 yards
B. 5.6 yards
C. 6.2 yards
D. 8.2 yards
Answer:
A. 4.1 yards
Step-by-step explanation:
Multiply $10.25 by 2 because there is 2 fabrics. You would get 20.5 and divide 20.5 from 85.00 and the answer is 4.1.
He buys 5.6 yards of wool, the correct option is B.
What is the equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
A tailor pays $10.25 per yard for wool and pays $5.75 per yard for cotton.
He bought 4.8 yards of cotton and spent a total of $85.00 on the two types of fabric.
Let x be the yards of wool did he buy.
The yards of wool did he buy is given by;
[tex]\rm 10.25x + 5.75 \times 4.8 = 85\\\\10.25 x=85-27.6\\\\10.25 x=57.4\\\\x=\dfrac{57.4}{10.25}\\\\x=5.6[/tex]
Hence, he buys 5.6 yards of wool, the correct option is B.
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find the exact length of the third side
Answer: 30
Step-by-step explanation:
I’m big smart
Answer:
30
Step-by-step explanation:
24^2 + 18^2 = c^2
(576 + 324 = c)
900 = c^2
[tex]\sqrt{900}[/tex] = 30
c = 30
If the vertex of a parabola is (2. - 4). what is the axis of symmetry?
Answer:
x = 2
Step-by-step explanation:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.
The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
You already know the vertex, so the axis of symmetry is the line, x = 2.
This is because the equation to graph a vertical line is x = a, where a is the x-value you want the line to intersect.
The axis of symmetry for a parabola with the vertex at (2, -4) is the vertical line x = 2.
If the vertex of a parabola is at the point (2, -4), then the axis of symmetry is a vertical line that passes through the x-coordinate of the vertex. Thus, the equation of the axis of symmetry would be x = 2. This is because, for a parabola, the axis of symmetry always passes through the vertex and is perpendicular to the directrix.
Which value is a solution for the equation cot x/2 =1
Step-by-step explanation:
cot(x/2) = 1
Take inverse of both sides.
tan(x/2) = 1
Solve for x/2.
x/2 = π/4 + kπ
Solve for x.
x = π/2 + 2kπ
Possible values for x are π/2, 5π/2, 9π/2, etc.
Answer:
it's 3pi
Step-by-step explanation:
A1 B1 C1
A2 2 7 1
B2 2 10 3
C2 1 3 1
The table shows the number of students in a class that received letter grades on 2 recent exams. The first exam is shown across the top and is summarized as A1, B1, and C1, and the second exam is in the first column, A2, B2, and C2. Given that a student earns a B on the first exam, what is the probability the student earns a B on the second exam?
A) 25%
B) 33%
C) 50%
D) 67%
Answer:
C) 50%
Step-by-step explanation:
The probability the student earns a B on the second exam, given that a student earns a B on the first exam is 0.5 or 50%.
How to find the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The below table shows the number of students in a class that received letter grades on 2 recent exams.
A1 B1 C1A2 2 7 1B2 2 10 3C2 1 3 1The first exam is shown across the top and is summarized as A1, B1, and C1, and the second exam is in the first column, A2, B2, and C2. In the given table, the student get B in first exam is,
[tex]X=(7+10+3)\\X=20[/tex]
The student get B in second exam is which got B in first exam are 10.
[tex]Y=10[/tex]
The total number of students are,
[tex]2+2+1+7+10+3+1+3+1=30[/tex]
The probability the student earns a B on the second exam, given that a student earns a B on the first exam, is,
[tex]P(Y|X)=\dfrac{P(Y\cap X)}{P(X)}\\P(Y|X)=\dfrac{\dfrac{10}{30}}{\dfrac{20}{30}}\\P(Y|X)=0.5[/tex]
Thus, the probability the student earns a B on the second exam, given that a student earns a B on the first exam, is 0.5 or 50%.
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The difference between two numbers is greater than the first number and the sum of
the two numbers is greater than 21. Find the system of inequalities representing the
given situation.
Answer:
Step-by-step explanation:
let the numbers be x and y
x-y>x
or -y>0
or y<0
and x+y>21
or if we want to solve further then
y<0
and x+y>21
or y>21-x
or 21-x<y <0
so 21-x<0
or 21<x
or x>21
Final answer:
The system of inequalities for the given situation is x - y > x and x + y > 21, where x represents the first number and y represents the second number.
Explanation:
System of Inequalities:
x - y > x
x + y > 21
Here, x represents the first number and y represents the second number.
Simplify.
(4x3y−6)(2xy6)
A) 8x3
B) 8x3y−1
C) 8x4
D) 8x4y−1
Answer:
C
Step-by-step explanation:
The vertices on the snowflake pictured form what kind of geometric figure?
Answer:
The natural, hexagon geometry of a snowflake
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
You get a part time job earning $7.50 hr. Your tips are $2.75 hr on average. Deductions are
FICA (7.65%u federal tax withholding (9.25%), and state tax withholding (6.45%). You work
for 10 hours. What is your gross base pay?
Final Answer:
$75
Explanation:
To calculate your gross base pay, you only need to consider your hourly wage and the number of hours worked. Tips, FICA taxes, federal tax withholding, and state tax withholding are not included since they are either extra income (tips) or deductions (taxes) that do not affect gross base pay.
Your hourly wage is $7.50.
You worked for 10 hours.
To calculate the gross base pay, you multiply the hourly wage by the number of hours worked:
Gross Base Pay = Hourly Wage * Hours Worked
Gross Base Pay = $7.50 * 10
Gross Base Pay = $75.00
Your gross base pay for 10 hours of work is $75.00. This is before any tips and deductions are taken into account.
The gross base pay for 10 hours of work at $7.50 per hour is calculated by multiplying the hourly wage by the number of hours worked.
Gross base pay = Hourly wage × Number of hours worked
Gross base pay = $7.50 × 10 hours
Gross base pay = $75.00
Therefore, the gross base pay is $75.00.
To determine the gross base pay, one only needs to consider the hourly wage and the number of hours worked. The gross base pay does not take into account any deductions or tips; it is simply the total amount of money earned from the hourly wage before any deductions are made. In this case, the hourly wage is $7.50, and the individual worked for 10 hours. By multiplying these two values together, we obtain the gross base pay of $75.00. This is the amount of money the individual earned from their wages alone, prior to any taxes or other deductions being subtracted.
· A store has put a robotics kit on sale for 25% off the original price. If the original price is
$40, what is the soles price?
Answer:
$30
Step-by-step explanation:
50% of $40 would be half of 40 so 50%=20
Half of 50% =25% so half $20 is $10
This means that the discount price is $10 so if we take away the original price ($40) from the discount ($10) that leaves us with the new sale price of $30!
Hope this helps!
Answer:
$30
Step-by-step explanation:
If an item is 25% off of it's original price, off it is 75% of it's original price.
(100-25=75)
So, what we need to do is find 75% of 40.
0.75*40=30
The sales price is $30.
What is the slope intercept equation of this line
the answer is C
dont know if its to late to answer but here
Which expression shows 2x² + 18 factored completely
Answer:
2(x^2+9)
Step-by-step explanation:
2x^2 +18
Factor out a 2
2(x^2+9)
The length of the base of a square pyramid is 15 inches. The slant height is 10 inches. What is the surface area of the pyramid?
The surface area of a square pyramid is the sum of the area of the base and the area of the four side squares. The surface area of the square base pyramid is 525 in².
What is the surface area of a square pyramid?The surface area of a square pyramid is the sum of the area of the base and the area of the four side squares. It is given by the formula,
Surface Area of the Square pyramid = a² + 2al
where a is the length of the side of the base, and l is the length of the slant height of the pyramid.
The length of the base of the square pyramid is 15 inches, while the length of the slant height of the pyramid is 10 inches. Therefore, the surface area of the pyramid is,
[tex]\text{Surface Area of the Square pyramid} = a^2 + 2al[/tex]
[tex]\rm = (15)^2 + (2 \times 15 \times 10)\\\\= 225 + 300\\\\= 525\ in^2[/tex]
Hence, the surface area of the square base pyramid is 525 in².
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