Answer:
4.50
Step-by-step explanation:
There's 2 total decimal places in both numbers.
Ignore the decimal places and complete the multiplication as if operating on two integers.
1 8
× 2 5
___________________
+ 9 0
+ 3 6
___________________
= 4 5 0Rewrite the product with 2 total decimal places.
Answer = 4.50
Therefore:
1.8 × 2.5 = 4.50
from the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 26°. how far is the ship from the base of the lighthouse? (round your answer to the nearest foot.)
The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.
What is Angle Of Depression?The angle of depression is the angle formed by the horizontal line and the horizontal line's observation of the item. When we know the angles and the distance of an object from the ground, it is primarily utilized to find the distance between the two objects.Given:
Height of lighthouse = 160 feetAngle of depression = 26°To find: Distance of ship from the base of the lighthouse.
Finding:
Let 'x' be the distance of the ship from the base of the lighthouse and θ be the angle of depression.
Then, tanθ = [tex]\frac{160}{x}[/tex]
=> x = [tex]\frac{160}{tan26}[/tex]
=> x = [tex]\frac{160}{0.487}[/tex]
=> x = 328.54m
Hence, The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.
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Find the difference
-8 - 3
Answer:
-11
Step-by-step explanation:
Starting at -8 you subtract three, meaning you go three numbers lower which would be -11.
f (x) = 5x8 - 25x7
What is the degree of f
The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.
What is the degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content?It follows from the task content that the degree of the polynomial in discuss is to be determined as required in the task content.
First, it is noteworthy to know that the degree of a polynomial is the greatest power of a variable present in the polynomial.
On this note, it follows that the degree of the function in this scenario is; 8.
Ultimately, The degree of the polynomial defined by the function; f (x) = 5x⁸ - 25x⁷ as required in the task content is; eight, 8.
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1. Find the value of two numbers if their sum is 12 and their difference is 4.
Answer:
8 and 4
Step-by-step explanation:
Answer:
8+4
Step-by-step explanation:
8-4 is equal to 4 and 4+8 is equal to 12
K'
Write the coordinates of the vertices after a reflection over the x-axis.
304
-10 4
L'=
M'=
6
-8
0
4
2
2
6
Answer:can you right It all together?
Step-by-step explanation:
A regular hexagon is divided into 6 congruent triangles. If the perimeter of the hexagon. is 48 centimeters, what is the height of each triangle?
A 4 \mathrm{~cm}
B 4 \sqrt{3} \mathrm{~cm}
C 6 \sqrt{3} \mathrm{~cm}
D 8 \mathrm{~cm}
E 8 \sqrt{3} \mathrm{~cm}
Answer:Your answer would be E
Step-by-step explanation:8 times 6 would be 48
The measure of height of each triangle will be 4√3 cm. Then the correct option is B.
What is the perimeter of the regular polygon?All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.
P = (Side length) x n
A regular hexagon is divided into 6 congruent triangles. If the perimeter of the hexagon is 48 centimeters.
Then the Side length of each triangle will be given as,
48 = (Side length) x 6
Side length = 8 cm
Then the measure of the height of each triangle will be calculated as,
tan 60° = h / (8 / 2)
√3 = h / 4
h = 4√3 cm
The measure of height of each triangle will be 4√3 cm. Then the correct option is B.
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A cell phone company charges an initial price of $500 for a new phone and then $60 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? (2 points) r: (0, 500) r: (60, 560) r: ℠r: (−[infinity], [infinity])
The range of the given function is: (500, ∞).
What is the range of a function?The collection of potential output values for a function is known as its range.
Now,
Given:
Initial price of the cell phone = $500Monthly charge = $60Let 't' be the number of months. Then, the function C(t) can be calculated as:
C(t) = 500 + 60t
For range:
The minimum value will be when t = 0, i.e., when no charge has been charged by for each month.
Thus, C(0) = 500 + 60(0)
=> C(0) = 500
The maximum value will be when t = ∞, i.e., for infinite number of months.
=> C(∞) = 500 + 60(∞)
=> C(∞) = 500 + ∞
=> C(∞) = ∞
Thus, the range of the function will be: (500, ∞).
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you perform an experiment to determine how many breaths a fish takes per minute. your experiment yields the following data: minute 1:65 breaths; minute 2:73 breaths; minute 3:67 breaths; minute 4:71 breaths; minute 5:62 breaths. calculate the average number of breaths that a fish takes per minute.
The average breaths taken per minute by the fish is 22.53. This is obtained using the previous knowledge of average.
What do you mean by average?
An average is a single number that is used to represent an entire group of things. Averages are calculated by dividing the sum of all values by the total number of values.
Calculation of average number of breaths taken by a fish per minute
Given:
Breaths in 1 minute are 65
Breaths in 2 minutes are 73
Breaths in 3 minutes are 67
Breaths in 4 minutes are 71
Breaths in 5 minutes are 62
Total breaths = 65 + 73 + 67 + 71 + 62
= 338
Total time taken = 1 + 2 + 3 + 4 +5
= 15 minutes
The average number of breaths = total breaths / total time taken
= 338 / 15
= 22.53 breaths per minute
Hence, the average breaths taken per minute by the fish is 22.53.
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9. Royanne determined that it cost her $.75 a day to make her own lunch
for school. If she ate in the cafeteria, lunch would cost $2.25. In five days,
how much money would Royanne save by bringing her own lunch to
school?
O $5.50
O $7.50
$9.50
place the items in the order in which they are found by selecting the correct step from each blue box.
a train is travelling at a speed of 90 miles per hour. the driver of the train plans on maintaining this speed for the next 120 miles, plus or minutes 15 miles. find the minimum and maximum numbers of hours the train will travel at that speed.
The minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5
How to find the minimum and maximum numbers of hours the train will travel at that speed?The given parameters are
Speed = 90 miles per hour
Current speed = next 120 miles, plus or minutes 15 miles.
Let the time travelled be x
So, we have the following equation
Speed * Time = Distance
This gives
|90x - 120| =15
Remove absolute bracket
90x - 120 = ±15
Add 120 to both sides
90x = 120 ±15
This gives
90x = (120 - 15, 120 + 15)
Evaluate
90x = (105, 135)
Divide by 90
x = (1.17, 1.5)
Hence, the minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5
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3+9(5)
8
2 is equal to
Answer:768
Step-by-step explanation:
The table shows the elevations of four cities in the Netherlands.
Elevations in the Netherlands
Location
Elevation (in meters)
Amsterdam
2
Rotterdam
–4
Utrecht
1
Vaalserberg
322
Which city in the Netherlands is below sea level?
Amsterdam
Rotterdam
Utrecht
Vaalserberg
Answer:
Rotterdam
Step-by-step explanation:
0 is sea level and anything above 0 is above sea leavel and anything below is below sea level
Hope this help
Refine Finding Unit Rates Involving Ratios
of Fractions
Ол
Complete the Example below. Then solve problems 1-9,
Example
Angela lives 0.6 mile from the park. It takes her hour to walk her
dog to the park. How quickly are Angela and her dog walking in
miles per hour?
a problem
Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
[tex]a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360[/tex]
Most cars can travel around 20 miles per gallon of gas that is in their tank. write a rule that relates the total distance a car can travel d as a function of the number of gallons of gas in its tank g.
A function rule that relates the total distance a car can travel d as a function of the number of gallons of gas in its tank g is given by: d = 20g
What is a proportion?A proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a rule that relates the total distance (d) which a car can travel as a function of the number of gallons (g) of gas in its tank:
d = 20g
Where:
d represents the total distance travelled.20 represents the constant of proportionality.g represents the number of gallons.In conclusion, the total distance (d) traveled by most cars is directly proportional to the number of gallons (g) of gas in their tank at a constant rate of 20 miles per gallon of gas.
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Pls help I dont get this
Answer:
Step-by-step explanation:
You move up 2 units and down 5 units. You end at (5, -4). Where did you start?
Answer:
(5,-1)
Step-by-step explanation:
1. Which set of numbers has the largest variance?
a. 7, 8, 9, 10
b. 1, 3, 4, 7
c. 4, ?2, ?1, 0
d. 1, 0, 2, 4
2. What is the population variance of the following set of numbers: 3, 5, 8, 9, 10?
a. 29
b. 6.8
c. 7
d. 8.5
1) 1,3,4,7 dataset has the highest variance.
1. How to find the largest variance of given set of numbers?Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.
to find the variance,
first step is to calculate the mean Next, take each data point and square the difference after subtracting the mean. All values' squared differences are added. Next, divide the total by the number of data points. this is the process to get the variance.
a) now given that a. 7, 8, 9, 10
[tex]mean = \frac{sum \: of \: al l\:data \: points \: }{ total \: number \: of \: data\: points \: } [/tex]
[tex]mean = \frac{(7 +8 + 9 + 10) }{4} [/tex]
mean = 8.5
now, take each data point and square the difference after subtracting the mean.
[tex](7 - 8.5) {}^{2} = 2.25 \\ (8 - 8.5) {}^{2} = 0.25 \\ (9 - 8.5) {}^{2} = 0.25 \\ (10 - 8.5) {}^{2} = 2.25[/tex]
All values' squared differences are added.
2.25+0.25+0.25+2.25=5
Next, divide the total by the number of data points.
5/4 = 1.25
Hence the variance of 7,8,9,10 is 1.25
b) given that 1,3,4,7
mean = 3.75
variance = 18.75/4 = 4.68.
Hence the variance of 1,3,4,7 is 4.68
c) given that 4,2,1,0
mean= 1.75
variance= 2.1875
Hence the variance of 4,2,1,0 is 2.1875
D) given that 1,0,2,4
mean= 1.75
variance= 2.1875
Hence the variance of 1,0,2,4 is 2.1875
Therefore 1,3,4,7 dataset has the highest variance.
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The image of the point (2, -3)under a translation is (1, -6)Find the coordinates of the image of the point (9, -5)under the same translation.
The image of the point (2, -3)under a translation is (1, -6). the coordinates of the image of the point (9, -5)under the same translation is (9,-8).
With the aid of mirror-related concepts, we will first build a diagram of the image position in order to determine the coordinates of the image location. We will use trigonometry to determine the necessary coordinates after sketching the diagram.
Without needing to change its orientation, a translation relocates an item from its original location on the coordinate grid.
An illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape.
Image of the point (2,-3)
under the translation (2,-6)
2+a=2
a=2-2
a=0
-3+b=-6
b=-6+3
b=-3
By applying the translation (x+0,y-3) to (9,-5)
(9+0,-5-3)
(9,-8)
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the sum of r cubed and 4 times m
Answer:
r^3+4m
Step-by-step explanation:
two vertices of an obtuse triangle are $(6,4)$ and $(0,0)$. the third vertex is located on the negative branch of the $x$-axis. what are the coordinates of the third vertex if the area of the triangle is 30 square units?
Since the third vertex is located on the negative branch of the x-axis, the coordinates of the third vertex of this triangle is equal to (-15, 0).
The types of triangle.In Geometry, there are different types of triangle based on the length of their sides and angles, and these are;
Equilateral triangleScalene triangleIsosceles triangleObtuse triangleRight-angled triangleHow to calculate the area of a triangle?Mathematically, the area of a triangle can be calculated by using this formula:
Area = 1/2 × b × h
Where:
b is the base area.h is the height.Note: The height of this triangle is the y-axis of (6, 4).
Substituting the given parameters into the formula, we have;
Area = 1/2 × b × h
30 = 1/2 × b × 4
2b = 30
b = 30/2
b = 15 units.
Since the third vertex is located on the negative branch of the x-axis, the coordinates of the third vertex of this triangle is equal to (-15, 0).
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Complete Question:
Two vertices of an obtuse triangle are (6,4) and (0,0). The third vertex is located on the negative branch of the x-axis. What are the coordinates of the third vertex if the area of the triangle is 80 square units?
Write an
inequality that represents the
temperatures (in degrees Fahrenheit)
of the interior of the iceberg.
-20°C to
-15°C
The inequality representation can be expressed as: -4 < x < 5
Representation of real number into inequality.An inequality is a mathematical connection that exists between two expressions and may be expressed by one of the following:
"greater than >" "less than < ""less than or not equal to ≤: "greater than or equal to" ≥:From the given expression, the conversion of °C to F is estimated by using the formula:
(°C × 9/5) + 32
For -20°C , we have:
= (-20°C × 9/5) + 32
= -4 F
For -15°C, we have:
= (-15°C × 9/5) + 32
= 5 F
Therefore, this can be represented in inequality form as: -4 < x < 5.
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Which relation is a function?
Can someone help me please?!!!
Answer:
The second one is a function.
Step-by-step explanation:
The other 3 have one-to-many mappings.
For example the first relation has 1 mapping to 2, 3, 4 and 5.
In 2006, the population of the country was 33.3 million. This represented an increase in population of 6.5% since 2001. What was the population of the country in 2001? Round to the nearest hundredth of a million.
The population of the country in 2001 to the nearest hundredth of a million is 24.31 million
What was the population in 2001?If the population grows by 6.5% every year, the population grows at a compound rate. The equation that can be used to determine the population in 2001 would be an exponential equation. The equation that can be used to represent an exponential equation is: a = [tex]mx^{b}[/tex]
When a population grows at a compound rate, it means that both the existing population and the increase in the population increase by 6.5 every year.
The equation that can be used to determine the population of Tacoma in 2017 is:
P = FV / (1 + r)^n
Where:
FV = Future value P = Present populationR = rate of growthN = number of years : 2006 - 2001 = 533.3 / ( 1 + 0.065)^5
33.3 / (1.065^5) = 24.30503 million
In order to round 24.30503 million to the nearest hundredth , look at the thousandth figure, if it is greater or equal to 5, add one to the hundredth digit and change the thousandth digit to 0. So, 24.30503 million becomes 24.31 million
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HELP ME PLEASE!!!!
.
.
.
.
.
.
WITH QUESTION A!
Answer:
Cohesion and Adhesion. The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.
Step-by-step explanation:
Cohesion: the water molecules attract each other and are responsible for the surface tension of water.
Adhesion: the water molecule is also able to attract other non-water molecules. This allows water to be able to ‘cling’ to the sides of a capillary tube.
The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.
please let me know if you need a deeper/ more complex explanation, i am always happy to help :)
The range of the transformation function f(x,y)= (x+5,y-8) is (10,8), (-2,7), and (7,9) which point is in the domain
We get that the domain will be {-7, 2, 5}.
We are given a transformation function:
f ( x , y ) = ( x + 5 , y - 8 )
Also, we are given the points in this transformation function as:
(10, 8), (-2, 7) and (7, 9)
Now, we have to find the point that lies in the domain of the function.
We have:
x + 5
Also, the values of x + 5 are given as 10, -2 and 7.
For (10, 8)
x + 5 = 10
x = 10 - 5
x = 5
For (-2, 7)
x + 5 = -2
x = - 2 - 5
x = - 7
For (7, 9)
x + 5 = 7
x = 7 - 5
x = 2
So, domain is {-7, 2, 5}.
Therefore, we get that the domain will be {-7, 2, 5}.
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a bird flies from the bottom of a canyon that is 68 3/5 feet below sea level to a nest that is 676 3/5 feet above sea level. what is the difference in elevation between the bottom of the canyon and the birds nest
Answer: you can minus it
Step-by-step explanation:
676 3/5
-68 3/5
=606 0/0
the 0/0 can be left aswell
What is 943,158,670.3491 rounded to the 100 millions? PLEASE ANSWER ASAP!
Answer:
I believe the answer is 943,158,670.349
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
What is the slope of the line that passes through the points (1,-6) and (-2,-8) ?
We can conclude that the slope of the line is (-2, -3).
What do we mean by the slope?The slope of a line indicates its steepness. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).The formula of slope: y₂ - y/x₂ - x₁
Put the values in the formula as follows:
y₂ - y/x₂ - x₁-8 - (-6)/-2 -1-2/-3Therefore, the slope of the line is (-2, -3).
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