The dot plot below shows the numbers of years of experience of the teachers at City High School.
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0 2 4 6 8 10 12 14 16 18 20
Years of Experience
Determine where a gap is present in the data set.
between 14 and 18 years
between 5 and 7 years
oooo
between 2 and 4 years
between 11 and 19 years
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Answer: Between 14 and 18 years
Step-by-step explanation:
There are no dots in that area.
5 An arithmetic progression has a second term of -14 and a sum to 21 terms of 84. Find the first term and the 21st term of this progression.
Answer:
a₁ = - 16 , a₂₁ = 24
Step-by-step explanation:
The nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = - 14 , then
a₁ + d = - 14 → (1)
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
Given S₂₁ = 84 , then
[tex]\frac{21}{2}[/tex] [ 2a₁ + (n - 1)d ] = 84 ( multiply both sides by 2 )
21(2a₁ + 20d) = 168 ( divide both sides by 21 )
2a₁ + 20d = 8 → (2)
From (1) d = - 14 - a₁ ← substitute into (2)
2a₁ + 20(- 14 - a₁) = 8 , that is
2a₁ - 280 - 20a₁ = 8
- 18a₁ - 280 = 8 ( add 280 to both sides )
- 18a₁ = 288 ( divide both sides by -18 )
a₁ = - 16
Substitute a₁ = - 16 into (1)
- 16 + d = - 14 ( add 16 to both sides )
d = 2
Then
a₂₁ = - 16 + 20(2) = - 16 + 40 = 24
help plz (ASAP) thanks
Answer:
D
Step-by-step explanation:
thank uu
Answer:
the yellow answer is false; second answer
Step-by-step explanation:
write each equatiom as a single power of 10
Answer:
It is 10²
Step-by-step explanation:
[tex] \frac{ {10}^{3} . {10}^{4} }{ {10}^{5} } = \frac{ {10}^{(3 + 4)} }{ { {10}^{5} }} \\ \\ = \frac{10 {}^{7} }{ {10}^{5} } \\ \\ = {10}^{(7 - 5)} \\ = {10}^{2} [/tex]
Answer:
10²
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
Then
[tex]\frac{10^{3}.10^{4} }{10^{5} }[/tex]
= [tex]\frac{10^{(3+4)} }{10^{5} }[/tex]
= [tex]\frac{10^{7} }{10^{5} }[/tex]
= [tex]10^{(7-5)}[/tex]
= 10²
hey please help i’ll give brain
Answer:
81-1 nine
90-81
9
Step-by-step explanation:
Answer:
[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you[/tex]
can someone explain to me how to do both of this question? tyvm
Answer: Hope this helps :)
Step-by-step explanation:
a) =Let the boys be x
girls = x-10
so
x + x - 10 = 50
or, 2x = 60
so, x = 30
boys = 30
girls = 30-10 = 20
Therefore, 30 boys participated in the activity.
b) = Let the zilong's stamp be x and miya's stamp be y
so
first
x+y = 40
y = 40-x
now
x - 10 = 2y
x-10 = 2(40-x)
x-10 = 80-2x
or, 3x = 90
so, x = 30
then y = 40-x
y = 40-30 = 10
Therefore, Zilong had 30 stamps and Miya had 10 stamps before.
what is the total value in fraction.
Answer:
When we divide a whole into equal parts, each part is a fraction of the whole. For example, Fraction of a collection: Fractions also represent parts of a set or collection.
if my answer helps you than mark me as brainliest
find a rational number halfway in between the two numbers. 1/3 and 3/10
Answer:
39/60 is a rational number halfway b/w the given numbers.
Step-by-step explanation:
Add both of these numbers and then divide the result by 2.
(1/3+3/10)/2
=((30+9)/30)/2
=(39/30)*1/2
=39/60
how can i solve that equation
Answer:
C and E
Step-by-step explanation:
[tex]3 \tan( \beta ) = 2. \: \: \: \: \tan( \beta ) = \frac{2}{3} [/tex]
[tex] \frac{h}{x} = \tan( \beta ) = \frac{2}{3} [/tex]
[tex]if \: \: h = 2 \: \: \: x = 3 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + x } [/tex]
C. [tex]t = \sqrt{13} [/tex] ✅
○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○
[tex] if \: \: \: h = 4 \: \: \: \: x = 6 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + {x}^{2} } [/tex]
E. [tex]t = 2 \sqrt{13} [/tex] ✅
what are some objects that start with s because i have to do my name using objects
Answer:
Saddle.
Sage.
Sail Boat.
Salad.
Salamander.
Salami.
Salmon.
Salt.
Step-by-step explanation:
Answer: string, shoes, sun, scissors, sand, stapler, safe, soap, salt, salmon, sailboat, scarf, seat,
if LN=9x-39, LM=47, and MN=3x+10 find MN
Answer:
11
Step-by-step explanation:
ML+LN=MN solve for x
(47)+(9x-39)=(3x+10) = 1/3
x = 1/3
plug into MN
3(1/3)+10=11
least common multiple of 2 and 3?i forgot how to do this completly over the summer lol
Answer:
6
Step-by-step explanation:
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 3: 3, 6, 9, 12, 15
Brainliest, please!
There are 40 students in a summer cohort. Of those students, 20 are taking an accounting course, and 25 are taking a Spanish course. A total of eight students are taking both courses. How many students are not taking either course
Jocelyn is going to the amusement park, where she has to pay a set price of admission
and another price for tickets to go on each of the rides. The total amount of money
Jocelyn will spend is given by the equation y 3.5x + 28, where y represents the
total amount of money, in dollars and cents, and x represents the number of rides
Jocelyn goes on. What could the number 28 represent in the equation?
Angle X measures 110 degrees. If angle X is rotated 60 degrees, what is the measure of angle X'?
Answer:
170 degrees
Step-by-step explanation:
110+ 60= 170
x angle = 170 degrees
Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?
Solve the compound inequality. Graph the solution
Answer: Choice B
Work Shown:
[tex]-2 \le 2x-4 < 4\\\\-2+4 \le 2x-4+4 < 4+4\ \text{ ... add 4 to all sides}\\\\2 \le 2x < 8\\\\2/2 \le 2x/2 < 8/2\ \text{ ... divide all sides by 2}\\\\1 \le x < 4\\\\[/tex]
This says that x is between 1 and 4; it can equal 1, but it can't equal 4.
To visually represent this, we'll have a closed circle at 1, an open circle at 4, with shading in between these circles. This is represented by graph B.
the distance between the points (-1,3) and (2,-1) is?
Answer:
It is 5.83 units
Step-by-step explanation:
[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]
x1 is -1
x2 is 2
y1 is 3
y2 is -1
[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]
a triangle has sides with lengths of 33 centimeters, 75 centimeters, 89 centimeters. is it a right triangle?
Step-by-step explanation:
By pythagoras triplet
sum of square of bigger side should be equal to sum of square of remaining two sides
so 75² + 33² = 5625 + 1089 = 6714
and 89² = 7921
here 6714 is not equal to 7921
so this triangle is not right angled triangle
MARK AS BRAINLIST IF IT IS USEFUL
What is the percentage change from 99 to 35
Step-by-step explanation:
(35-99):99*100 =
(35:99-1)*100 =
35.353535353535-100 = -64.65
Percentage change from 99 to 35 is -64.64% .
Negative sign indicates that the number is decreased from the initial value.
Percentage change : When a number is increased or decreased from its original value is termed as percentage change.
Given, that number changes from 99 to 35.
Formula of percentage change = [tex]\frac{Final - Initial}{Initial}[/tex] × [tex]100[/tex]
Final number = 35
Initial number = 99
Substitute the values in the above formula,
Percentage change = [tex]\frac{35 - 99}{99} *100[/tex]
Percentage change = -0.6464 *100
Percentage change = -64.64%
Negative sign indicates that the number is decreased from the initial value.
Know more about percentage change,
https://brainly.com/question/14801224
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Answer:
please help my friend 99ooooooooooooooooooooooooooooooooooo9ooooo my mjjjkjjidhjubsjuxsvuvjxehxf
x + 2x + 3x = 6 . Find x
Answer:
1
Step-by-step explanation:
x + 2x + 3x = 6
Add the like terms,
6x = 6
=> x = 6/6
=> x = 1
Step-by-step explanation:
x+2x+3x=6
x+5x=6
6x=6
x=6÷6
x=1
Two functions are given ; f(x) = x^2+2x-1 and g(x) =5x+3 . Find the value of x if f(x) = g(x). . Also find f(-4) and g(9
PLEASE HELP!!! I will give you brainliest!
Answer:
6
Step-by-step explanation:
The range of the middle 50% is the right side of the box subtracting the left side of the box
14-8
6
Solve the equation. (find x)
Answer:
Step-by-step explanation:
[tex](x^2-3x+1)^{(2x^2+x-6)}=1\ we \ take \ the \ logarithm\\\\(2x^2+x-6)*ln(x^2-3x+1)=0\\\\(2x^2+x-6)=0\ or\ x^2-3x+1=1\\\\1)\\2x^2+x-6=0\\2x^2+4x-3x-6=0\\2x(x+2)-3(x+2)=0\\(x+2)(2x-3)\\x=-2\ or\ x=\dfrac{3}{2} \\\\2)\\x^2-3x=0\\x(x-3)=0\\x=0\ or\ x=3\\\\sol=\{-2,0,\dfrac{3}{2},3\}\\[/tex]
I need a step by step correct answer bc i need to get in this college please help :(
Answer:
please mark me brainliest
Step-by-step explanation:
-6÷3×2+3÷3
using Bodmas(bracket of division multiplication addition and subtraction)
-2×2+1
-4+1
-3
If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made. They already used 16:32
when f(x)=2x-2 what is the domain?
Answer:
d: x3R
Step-by-step explanation:
Step 1: What is asked
A domain is for what values of x in the graph is defined such as when y = 2, x is equal to 2.
Step 2: Solve
Since this is a linear equation the domain would be every x value do it would be: d: x3R (x belongs to all real numbers)
what is the answer to this? please
Step-by-step explanation:
hopefully it makes sense and is visible
:)
What is six hundred five thousand, five hundred written in standard form
Answer:
the answer is in given bellow:
605500.