Answers
Answer:
The correct option is E. 8
The value of h is 8 unit.
Step-by-step explanation:
Given:
Δ BAD ~ Δ CBD
AC = 20
DC = 4
∴ [tex]AD = AC - DC=20-4=16[/tex]
To Find:
h = ?
Solution:
Δ BAD ~ Δ CBD ................Given
If two triangles are similar then their sides are in proportion.
[tex]\frac{BD}{CD} =\frac{AD}{BD} =\frac{BA}{CB}\ \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
On substituting the given values we get
[tex]\dfrac{BD}{CD} =\dfrac{AD}{BD}[/tex]
[tex]\dfrac{h}{4} =\dfrac{16}{h}\\\therefore h^{2}=64\\\therefore h=8\ unit[/tex]
The value of h is 8 unit.
Answer:
8
Step-by-step explanation:
Related Questions
ChoiceA- f(x)axhk ChoiceB- f(x)axh2 k
ChoiceC- f(x)ax3 bx2 cxd ChoiceD- f(x)a xhk
ChoiceE- f(x) a k xh
Requirements:
*a should never equal 0
*h and k can’t both be 0
*b, c, and d can’t all be 0 *Can’t duplicate any values
TASK #2
1) Select 4 of the 5 graph choices to the left.
2) Fill in values/numbers for the generic equations, replacing variables
a, h, and k or a, b, c, and d as necessary, to create actual equations that can be graphed. You may use your calculator to help. Write this equation at the top of the graph page you use. Recommendation - use small #s☺(keep between -5 and 5)
3) Graph each of the 4 chosen graphs A - E, one on each of the graphs provided, #1 - 4. You may use your calculator to help. Requirements:
*Be sure that part of the graph drawn on its selected graph paper is actually located in the shaded region on the graph you choose. If not, select a different graph paper #1-4 or select different values/numbers for your equation. You may graph any of the equation choices on any of the graph papers.
*You must graph the entire function on the given graph paper for
the domain 15, 15 if the range is also between 15, 15. A
domain interval of at least 15 units wide must be present on the
graph.
4) Answer the questions below Graphs #1-4 in the spaces provided.
1) Take each shaded region (covering a domain interval of 5 units) of graphs 1-4 and graph ONLY that region from that graph onto Graph #5. (You should have a funky looking graph.) Be careful on the endpoints of your graph segment that you either graph a closed dot if including that value or an open dot if you are not including that value – see the domain intervals listed on the bottom of Graph #5 for help!
2) Fill in the information and answer the questions following the graph.
RUBRIC (Turn one copy in with your project):
Graph #1: Graph #2 Graph #3 Graph #4 Graph #5 Comments:
Equation: ____/1 Equation: ____/1 Equation: ____/1 Equation: ____/1 Equations: ____/4
Graph: _____/8 Graph: _____/8 Graph: _____/8 Graph: _____/8 Graph: _____/6
Questions: _____/11 = /20 Questions: _____/11 = /20 Questions: _____/11 = /20 Questions: _____/11 = /20 Questions: _____/10 = /20
TOTAL ______/100
Answers
did you ever complete this?
Step-by-step explanation:
If you ddi please send it to me
An overweight dog is put on a special diet. use the table to determine the dogs average weight change per week.
TABLE: the week number
1,2,3,4,5
the weight change[oz]
- 1.5,2.2,-0.8,-1.6,-0.6
Answers
The dog's average weight change per week is -0.46 ounces, meaning that on average, the dog loses 0.46 ounces per week.
Explanation:To determine the dog's average weight change per week, we need to calculate the mean of the weight changes given in the table for weeks 1 through 5. The weights are measured in ounces, and we have the following weight changes: -1.5, 2.2, -0.8, -1.6, -0.6. To find the average, we add up these changes and divide by the number of weeks.
First, we calculate the sum of the weight changes:
Sum = -1.5 + 2.2 + (-0.8) + (-1.6) + (-0.6)
Sum = -2.3 ounces
Now we divide by the number of weeks, which is 5:
Average weight change per week = Sum / Number of weeks
Average weight change per week = -2.3 oz / 5
Average weight change per week = -0.46 ounces per week
Since the average is negative, this means the dog is losing weight on average, each week.
Final answer:
To calculate the average weight change per week for the dog, sum up the total weight change and divide by the number of weeks. The dog's total weight change is -2.3 ounces over 5 weeks, resulting in an average weight loss of -0.46 ounces per week.
Explanation:
The student is asking about calculating the average weight change per week for an overweight dog on a special diet. To find this, we need to sum up all the weight changes and then divide by the number of weeks. The weight changes given in ounces are: -1.5, 2.2, -0.8, -1.6, and -0.6 ounces.
First, let's add up these weight changes: -1.5 + 2.2 - 0.8 - 1.6 - 0.6 = -2.3 ounces over 5 weeks.
Now, let's calculate the average weight change per week: (-2.3 ounces) / (5 weeks) = -0.46 ounces per week.
It's important to note that a negative average indicates the dog is losing weight, which is the goal of the diet. In this case, the dog is losing an average of 0.46 ounces per week.
Ruby was paid $24 to sweep 4 walks which of the following can be represented by an equivalent ratio ?
•$6 to sweep 1 walk
•$12 to sweep 3 walks
•$30 to sweep 5 walks
Answers
Answer:
$6 to sweep 1 walk
Step-by-step explanation:
$24 : 4 walks can be simplified by dividing both sides by 4.
24/4:4/4=6:1
WILL GIVE BRAINLIEST . (06.02) Which of these is the algebraic expression for "eight less than some number?" (3 points) 8 − b b − 8 Fraction 8 over b Fraction b over 8
Answers
Answer: b - 8
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
In a grocery store’s circular, it states that plant-based meatless ground beef is on sale for $5.99/lb. If you buy a package that weighs 2.37 lbs, how much did it cost (round to the nearest cent)?
Answers
Explanation: You simply multiply the cost and the weight so 5.99*2.37 which equals 14.1963 and you round to the hundredth place being 9 since the number behind nine is 6 you round up making the cost 14.20
$5.99 divided by 100 = 0.0599
0.0599 x 237 = $14.19
Abigail drives at an average speed of 60 miles per hour for 3 hours. The graph shows her distance versus time. Which statements are true? Check all that apply.
As Abigail’s time increases, her distance increases.
As Abigail’s time increases, her distance decreases.
At 2 hours, Abigail has traveled 120 miles.
At 1.5 hours, Abigail has traveled 100 miles.
At 3 hours, Abigail has traveled 180 miles.
Answers
Each hour she drives 60 miles more
2 hours- 60x2=120
3 hours- 60x3= 180
Answer:
1,3,5
Step-by-step explanation:
not 1,3,4
Which expression can be used to check the answer to 56 divided by negative 14 =n
Answers
Answer:
n=-4
Step-by-step explanation:
n=56/-14
n=-4
WHO EVER CAN FIGURE THIS OUT GETS THE BRAINLIEST
(34+65)X(98-123)
Answers
Answer:
-2475
Step-by-step explanation:
The Golden Years Senior Citizen Center uses a phone tree to announce when the center will be closed for poor weather. When each person receives a phone call, that person has a list of three more people to call. The function c approximates the total number of calls made after m minutes since the start of the phone tree. c(m) = 3/2 * (3 ^ (m/10) - 1) Approximately how many minutes will it take for the number of calls to reach 363?
Answers
Answer:
50 Minutes.
Step-by-step explanation:
The function c approximates the total number of calls made after m minutes since the start of the phone tree.
[tex]c(m)=\frac{2}{3}\times (3^{\frac{m}{10}}-1)[/tex]
We need to find the number of minutes after which the total number of calls will 363.
Substitute c(m)=363 in the given function.
[tex]363=\frac{2}{3}\times (3^{\frac{m}{10}}-1)[/tex]
Multiply 3/2 both sides.
[tex]363\times \frac{3}{2}=(3^{\frac{m}{10}}-1)[/tex]
[tex]242=3^{\frac{m}{10}}-1[/tex]
Add 1 on both sides.
[tex]243=3^{\frac{m}{10}}[/tex]
[tex]3^5=3^{\frac{m}{10}}[/tex]
On comparing both sides we get
[tex]5=\frac{m}{10}[/tex]
Multiply both sides by 10.
[tex]50=m[/tex]
Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.
Answer:
50 minutes
Step-by-step explanation:
How many solutions does the system of equations have Y = 4x+3 and 2Y-8x = 3
Answers
Answer:
The system has no solution.
Step-by-step explanation:
Write the system as
y - 4x =3
2y - 8x = 3
The 2nd equation can be written as
2(y - 4x)
and the system would be
y - 4x =3
2(y - 4x) = 3
Now, call y -4x = z. Then we would have the system
z = 3
2z = 3
But if z =3 then 2z = 6 and we have a contradiction.
We conclude that the system has no solution.
Find the smaller of two consecutive integers,x, if the sum of the smaller and two times larger is 14. Write an equation and solve
Answers
Answer:
4
Step-by-step explanation:
Consecutive integers are e.g. 1, 2, 3, 4, ...
So they are 1 units apart.
If we let one of the integers be "x", then the next consecutive one would be "x + 1".
x is the smaller
x + 1 is the larger
of the two...
Now,
The sum of smaller (x) and 2 TIMES larger (x + 1) is 14, so we can write:
[tex]x+2(x+1)=14[/tex]
We use algebra and solve for x:
[tex]x+2(x+1)=14\\x+2x+2=14\\3x=14-2\\3x=12\\x=4[/tex]
So, the two numbers is 4 & 5
smaller of the two numbers is "4"
To find the smaller of two consecutive integers where the sum of the smaller and two times the larger is 14, set up the equation x + 2(x + 1) = 14 and solve for x to find that the smaller integer is 4.
Explanation:To find the smaller of two consecutive integers x, when the sum of the smaller and two times the larger is 14, we can set up a simple algebraic equation. Let x be the smaller integer; then the larger integer is x+1. The equation based on the given information is:
x + 2(x + 1) = 14
Now, let's solve for x:
x + 2x + 2 = 143x + 2 = 143x = 14 - 23x = 12x = 12 / 3x = 4Therefore, the smaller consecutive integer is 4.
In which quadrant is the point (-7, 4)?
Answers
Answer:
2nd
Step-by-step explanation:
The point (-7, 4) is located in the second quadrant of the Cartesian coordinate system because it has a negative x-coordinate and a positive y-coordinate.
Explanation:The point (-7, 4) is located in the second quadrant of the Cartesian coordinate system. In the second quadrant, the x-coordinate is negative and the y-coordinate is positive. This is in line with the definition that axes divide the plane into four quadrants, where the sign of the coordinates determines the quadrant in which the point lies.
Understanding Quadrants
To better understand which quadrant a point falls into, consider the following general rules for the Cartesian coordinate system:
The first quadrant contains points where both x and y are positive.The second quadrant, where our point lies, contains points with a negative x-coordinate and a positive y-coordinate.The third quadrant contains points with both x and y negative.The fourth quadrant contains points with a positive x-coordinate and a negative y-coordinate.As the point (-7, 4) has a negative x-coordinate and a positive y-coordinate, it falls into the second quadrant, confirming our original statement.
you send out 20,000 emails of 6% are opened of those 9% clicked on the link to register for something of those who clicked on the link 30% complete the registration how many people completed the registration
Answers
Answer:
The answer is 32.
Step-by-step explanation
hope this helps :D
write an expression for the sequence of operations described below. add s to t, add the result to r, then raise what you have to the 7th power
Answers
Answer:
[tex](s+t+r)^7[/tex]
Step-by-step explanation:
Sequential Operations
Mathematical operations can be done in sequence or in batches if they are of the same type. For example, we can add many terms in one single operation, but we cannot add and multiply in one go, because there are priorities when dealing with products and sums. Same happens with powers.
In our problem we are required to perform a sequence of operations like follows
Add s to t:
[tex]s+t[/tex]
Add the result to r
[tex]s+t+r[/tex]
Raise what you have to the 7th power
[tex]\boxed{(s+t+r)^7}[/tex]
This is the final result
7. Which of the following equations illustrates the associative property of addition?
(1) (3+7)+(2+8)=(7+3)+(8+2)
(2) (5)(3-4)=(5-3)(4)
(3) (4+5)+5 = 4 +10
(4) 2(5+4)=10+8
3
Answers
Answer:
3. (4+5)+5 = 4 +10 expresses the ASSOCIATIVE PROPERTY OF ADDITION.
Step-by-step explanation:
The associative property of addition is given as:
For any three numbers A, B and C
(A +B) + C = A + ( B+ C)
Here, the ORDER OF ADDITION is not important, answer is always the SAME.
Now, in the following given expressions:
1. (3+7)+(2+8)=(7+3)+(8+2)
Here, ( 3+ 7)in L H S is replaced with ( 7 + 3) in R H S
Similarly, ( 2+ 8)in L H S is replaced with (8 + 2) in R H S
Hence, the given expression is expresses the Commutative PROPERTY OF ADDITION.
2. (5)(3-4)=(5-3)(4)
Here, the operation between 5 and (3-4) is MULTIPLICATION
Hence, the given expression DO NOT expresses the ASSOCIATIVE PROPERTY OF ADDITION.
3. (4+5)+5 = 4 +10
Here, the form of ASSOCIATIVE PROPERTY OF ADDITION is
(4 +5 )+5 = 4 + (5 + 5) = 4 + (10)
So, the given expression expresses the ASSOCIATIVE PROPERTY OF ADDITION.
4. 2(5+4)=10+8
Here, the operation between 2 and (5 + 4) is MULTIPLICATION
Hence, the given expression DO NOT expresses the ASSOCIATIVE PROPERTY OF ADDITION.
The associative property of addition means the way numbers are grouped in an addition does not change the sum. From the given equations, equation (1) illustrates this property as shown by the same results 20 in both groupings (3+7)+(2+8) or (7+3)+(8+2).
Explanation:The associative property of addition is a property in Mathematics that states that the way in which numbers are grouped when added does not change the sum. From the given equations, equation (1) (3+7)+(2+8)=(7+3)+(8+2) perfectly shows this property. It demonstrates that it doesn't matter how we group the numbers when we're adding them - the result will be the same.
For example, in equation (1), (3+7)+(2+8), if we add the numbers in brackets first, we get 10 + 10 = 20. This is the same result we get if we re-group the numbers like this: (7+3)+(8+2), that is, 10 + 10 = 20.
Learn more about Associative Property of Addition here:https://brainly.com/question/34210744
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Adrian just got hired for a new job and will make $66,000 in his first year. Adrian was told that he can expect to get raises of $5,000 every year going forward. how much money in salary with Adriene make in his 26th year working at this job? round to the nearest 10th (if necessary).
Answers
Answer:
Adrian would make $196000 in his 26th year working.
Step-by-step explanation:
Adrian salary in first year = $66,000
As Adrian is expected to get raises of $5,000 every year going forward.
Here is the sequence of Adrian's raises:
5,000, 10000, 15000, 20000, 25000 .....
As the common difference between consecutive terms is constant.
d = 10000 - 5,000 = 5,000 ⇒ d = 15000 - 10000 = 5,000
So, Adrian's raises is in Arithmetic sequence.
a₁ = 5,000
n = 26
[tex]{\displaystyle \ a_{n}=a_{1}+(n-1)d}[/tex]
Put n = 26 to get the total amount of salary raises in Adrian's 26th year.
[tex]{\displaystyle \ a_{26}=5000+(26-1)5000}[/tex]
[tex]{\displaystyle \ a_{26}=5000+(25)5000}[/tex]
[tex]{\displaystyle \ a_{26}=5000+125000}[/tex]
[tex]{\displaystyle \ a_{26}=130000}[/tex]
Total raises amount after 26th year = $130000
Adding total raises after 26th year to the initial salary would let us figure out the total salary Adrian would make in his 26th year.
So,
Total Salary after 26th year = initial salary + total raises of 26 years
= 66000 + 130000
= $196000
So, Adrian would make $196000 in his 26th year working.
Keywords: arithmetic sequence, salary, raises, common difference
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Subtract the sum of x2−3xy−y2 and 2x2+5xy−4y2 from 6x2−7xy+8y2
Answers
Answer:
[tex]3x^2-9xy+13y^2[/tex]
Step-by-step explanation:
We begin with : [tex]6x^2-7xy+8y^2-[(x^2-3xy-y^2)+(2x^2+5xy-4y^2)][/tex]
First, let us add the two portions within the brackets. To do this, we need to just combine the like terms
[tex]6x^2-7xy+8y^2-[(x^2-3xy-y^2)+(2x^2+5xy-4y^2)]\\\\6x^2-7xy+8y^2-[3x^2+2xy-5y^2][/tex]
Next, we need to distribute the negative to all the terms within the brackets
[tex]6x^2-7xy+8y^2-[3x^2+2xy-5y^2]\\\\6x^2-7xy+8y^2-3x^2-2xy+5y^2[/tex]
Now we can combine the like terms again
[tex]6x^2-7xy+8y^2-3x^2-2xy+5y^2\\\\3x^2-9xy+13y^2[/tex]
Answer:
Answer in image
Step-by-step explanation:
Answer in image
SOMEONE SEND HELPPP
Answers
+ 10 is the missing step in the given chart.
Step-by-step explanation:
Given data from the Flow chart,
Start = 20,
End = 6,
Second Step is ÷ 5.
Let us form the given information into two equations,
Consider the missing value as X.
20+X=Y ⇒1
Y÷5=6 ⇒2
where Y is the value of middle box.
From equation 1,
Y=6×5
Y=30.
From equation 2,
20+X=30.
X=30-20.
X= 10.
Thus + 10 is the missing step.
Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 60 sandwiches in all, 90% of which were turkey. How many turkey sandwiches did the cafeteria make?
Answers
Answer:
3
Step-by-step explanation:
Give me brainliest
Answer:
54 sandwiches were Turkey.
60 x .94 = 54
Step-by-step explanation:
Measured in a map with a scale of 150 miles per inch, the distance from Chicago to Boston is 4.75. How many miles is it from Chicago to Boston if 1 inch equals 150 miles.
Answers
The actual distance from Chicago to Boston is 712.5 miles.
Step-by-step explanation:
Given,
Scale on map = 150 miles per inch
Distance from Chicago to Boston on map = 4.75 inches
Actual distance = Distance on map * 150 miles
Actual distance = 4.75 * 150
Actual distance = 712.5 miles
The actual distance from Chicago to Boston is 712.5 miles.
Keywords: scale, multiplication
Learn more about multiplication at:
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Dale Rodgers had the following for dinner: 2 pork chops, 1/2 cup broccoli, and one baked potato. How many calories did his meal have? 300 455 430 405
Answers
Answer:
The closest option is C. 430, but of course this estimation depends of the size of the serving, specially for the chops and the potato.
Step-by-step explanation:
Let's calculate the number of calories of this meal:
A. 2 pork chops: We could assume 145 calories in a 3-ounce serving, so we have 145 * 2 = 290
B. 1 baked potato: We could assume 130 in a baked small potato (around 130 grams)
C. 1/2 cup of broccoli: We could assume 15 calories
Then the total estimation of calories is:
290 + 130 + 15 = 435
The closest option is C. 430, but of course this estimation depends of the size of the serving, specially for the chops and the potato.
Answer:
The answer is 430.
Step-by-step explanation:
On the chart given with the question (which was not posted),
2 pork chops = 260 (on the chart the individual pork chop is 130)
1/2 broccoli = 25
1 baked potato = 145
Now you simply add the numbers together!
Hope this helps!
A regular section of land made up of wheat farms has a length of 5x10^4 and the width of 6x10^3 what is the area of the length in square meters?
Answers
Answer:
The Area of land is 30 × [tex]10^{7}[/tex] meters² .
Step-by-step explanation:
Given as :
The length of rectangular wheat farm land = L = 5 × [tex]10^{4}[/tex] meter
The width of rectangular wheat farm land = w = 6 × [tex]10^{3}[/tex] meter
Let The Area of land = A meters²
Now, According to question
∵ Land is in rectangular shape
And we know, Area of rectangle = length × width
∴ Area of land = Area of rectangle = length × width
Or, A = L × w
Or, A = 5 × [tex]10^{4}[/tex] meter × 6 × [tex]10^{3}[/tex] meter
Or , A = 30 × [tex]10^{4+3}[/tex]
i.e A = 30 × [tex]10^{7}[/tex] meters²
So, The Area of land = A = 30 × [tex]10^{7}[/tex] meters²
Hence,The Area of land is 30 × [tex]10^{7}[/tex] meters² . Answer
In each pair, tell if the fractions are equal by using cross multiplication.
a. 5/30 and 1/6
b.4/12 and 21/60
c. 17/34 and 41/82
d. 6/9 and 25/36
Answers
Answer:
a. 5/30 and 1/6 ---> are equal
b.4/12 and 21/60 ---> are not equal
c. 17/34 and 41/82 ---> are equal
d. 6/9 and 25/36 ---> are not equal
Step-by-step explanation:
case a) we have 5/30 and 1/6
equate the fractions
[tex]\frac{5}{30}=\frac{1}{6}[/tex]
using cross multiplication
[tex](5)(6)=(30)(1)[/tex]
[tex]30=30[/tex] ----> is true
therefore
The fractions are equal
case b) we have 4/12 and 21/60
equate the fractions
[tex]\frac{4}{12}=\frac{21}{60}[/tex]
using cross multiplication
[tex](4)(60)=(21)(12)[/tex]
[tex]240=252[/tex] ----> is not true
therefore
The fractions are not equal
case c) we have 17/34 and 41/82
equate the fractions
[tex]\frac{17}{34}=\frac{41}{82}[/tex]
using cross multiplication
[tex](17)(82)=(41)(34)[/tex]
[tex]1,394=1,394[/tex] ----> is true
therefore
The fractions are equal
case d) we have 6/9 and 25/36
equate the fractions
[tex]\frac{6}{9}=\frac{25}{36}[/tex]
using cross multiplication
[tex](6)(36)=(25)(9)[/tex]
[tex]216=225[/tex] ----> is not true
therefore
The fractions are not equal
Answer:
a. The fractions are equal.
b. The fractions are not equal
c. The fractions are equal.
d. The fractions are not equal
Step-by-step explanation:
By definition, equivalent fractions have the same value, but they look different.
In order to verify if two fractions are equivalent, you can use Cross multiplication.
The procedure is: multiply the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.
Then:
[tex]a.\ \frac{5}{30}=\frac{1}{6}\\\\5*6=1*30\\\\30=30\ (The\ fractions\ are\ equal)[/tex]
[tex]b.\ \frac{4}{12}=\frac{21}{60}\\\\4*60=21*12\\\\240=252\ (FALSE.\ The\ fractions\ are\ not\ equal)[/tex]
[tex]c.\ \frac{17}{34}=\frac{41}{82}\\\\17*82=41*34\\\\1394=1394\ (The\ fractions\ are\ equal)[/tex]
[tex]d.\ \frac{6}{9}=\frac{25}{36}\\\\6*36=25*9\\\\216=225\ (FALSE.\ The\ fractions\ are\ not\ equal)[/tex]
x+6/x+2=x+3/x-5
a. x=1
b. x=5
c. x=-9
d. x=-8
Answers
[tex]\dfrac{x+6}{x+2}=\dfrac{x+3}{x-5}\qquad\qquad\text{cross multiply}\\\\(x+6)(x-5)=(x+2)(x+3)\\\\x^2-5x+6x-30=x^2+3x+2x+6\\\\x^2+x-30=x^2+5x+6\\\\x^2+x-x^2-5x=6+30\\\\-4x=36\quad|:(-4)\\\\\boxed{x=-9}[/tex]
Answer C.
There are 6 students. 2 of them are chosen for the position of president and Vice President. How many ways do we have to choose the students from the 6 students?
Answers
We have 15 ways to chose 2 students for the position of president and Vice President
Solution:
Given that,
There are 6 students. 2 of them are chosen for the position of president and Vice President.
To find: number of ways we have to choose the students from the 6 students
So now we have 6 students, out of which we have to choose 2 students
As we just have to select the students. We can use combinations here.
In combinations, to pick "r" items from "n" items, there will be [tex]^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}[/tex] ways
[tex]^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}=\frac{n !}{(n-r) ! r !}[/tex]
Then, here we have to pick 2 out of 6:
Total students = n = 6
students to be selected = r = 2
[tex]\begin{aligned} 6 C_{2} &=\frac{6 !}{(6-2) ! 2 !} \\\\ 6 C_{2} &=\frac{6 !}{4 ! 2 !} \\\\ 6 C_{2} &=\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1 \times 2 \times 1} \\\\ 6 C_{2} &=15 \end{aligned}[/tex]
Thus we have 15 ways to chose 2 students for the position of president and Vice President
The rectangle below has an area of 70y^8+30y^6.The width of the rectangle is equal to the greatest common monomial factor of 70y^8 and 30y^6. What is the length and width of the rectangle?
Answers
Answer:
Width [tex]10y^6[/tex] units
Length [tex]7y^2+3[/tex] units
Step-by-step explanation:
The rectangle has an area of [tex]70y^8+30y^6.[/tex]
The width of the rectangle is equal to the greatest common monomial factor of [tex]70y^8[/tex] and [tex]30y^6.[/tex] Find this monomial factor:
[tex]70y^8=2\cdot 5\cdot 7\cdot y^8\\ \\30y^6=2\cdot 3\cdot 5\cdot y^6\\ \\GCF(70y^8,30y^6)=2\cdot 5\cdot y^6=10y^6[/tex]
Hence, the width of the rectangle is [tex]10y^6[/tex] units.
The area of the rectangle can be rewritten as
[tex]10y^6(7y^2+3).[/tex]
The area of the rectangle is the product of its width by its length, then the length of the rectangle is [tex]7y^2+3[/tex] units.
Two cars start from the same place driving at the same rate, one heading north and the other heading east. After two hours the car heading north has traveled 150 miles and the car heading east has traveled 100 miles. How far apart are the cars at this time?
A) 111.8 miles
B) 180.3 miles
C) 250 miles
D) 350 miles
Answers
Answer:
B: 180.3
Step-by-step explanation:
A^2 + B^2 = C^2
150^2 + 100 ^2 = 32500
square root of 32500
180.3
−
1
⋅
f
(
−
8
)
−
4
⋅
g
(
4
)
=
−1⋅f(−8)−4⋅g(4)=
Answers
Answer:
-7
Step-by-step explanation:
The question is a mathematics problem related to evaluating functions, but it cannot be answered without additional information about the functions f and g.
Explanation:The question asks for the result when evaluating two functions f and g at given arguments and then combining these evaluated results with given coefficients. Specifically, it asks to compute the value of − 1 ⋅ f(− 8) minus 4 ⋅ g(4). However, without additional information about the functions f and g, it's not possible to calculate the exact numeric answer. Students usually encounter this type of problem while learning about functions and their evaluations in algebra.
7x(x+1.8)=0 I have tried -1.8 and 0, they did not work.
Answers
Answer:
x= -12.6/7. you may try this
Good evening ,
Answer:
The solutions of the equation 7x(x+1.8)=0 are -1.8 and 0.
Step-by-step explanation:
7×(0)×[(0)+1.8] = 0×[1.8] = 0×1.8 = 0
7×(-1.8)×[(-1.8)+1.8] = 7×(-1.8)×[0] = 7×(-1.8)×0 = 0.
:)
Garrett brown bought $200,000 of term life insurance at the rate of $5.40 per thousand dollar unit how much is the annul premium
Answers
Answer:
The annual premium will be = $1080
Step-by-step explanation:
Total life insurance term amount = $200,000
The term life insurance rate per $1000 = $5.40
Let’s divide total term amount i.e. $200,000 by $1000 unit to get the total number of $1000 units in $200,000
So, $200,000 ÷ $1000 = 200
So, it is clear that 200 would be the total number of $1000 units in total term life insurance amount of $200,000.
Therefore, if rate per unit $1000 is $5.40, then we must have to multiply $5.40 by 200 to find the annual premium as the total number of $1000 units in total term life insurance amount
of $200,000 is 200.
So, $5.40 × 200 = $1080
Hence, the annual premium will be = $1080
Keywords: insurance, premium, annual premium
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