Answer:C
Step-by-step explanation:
13. 6 + 10 + 14 + ... + 38
Find the sum of the arithmetic series
Answer:
The sum of the series = 198.Step-by-step explanation:
In the given arithmetic series,
The first term (a) = 6Common difference (d) = (aₙ – aₙ₋₁) = 10 - 6 = 4Last term (aₙ) = 38To find the sum of the series, we need to find the number of terms (n) at first. So,
[tex]a_{n} = a + (n - 1)d\\38 = 6 + (n - 1) 4\\38 - 6 = 4n - 4\\32 = 4n - 4\\32 + 4 = 4n\\36 = 4n\\36 \div 4 = n\\\boxed{9 = n}[/tex]
Now, let's find the sum of the arithmetic series (Sₙ).
[tex]S_{n} = \frac{n}{2} [2a + (n - 1)d]\\S_{n} = \frac{9}{2} [2*6 + (9 -1)4]\\S_{n} = \frac{9}{2} [12+ (8*4)]\\S_{n} = \frac{9}{2} [12+ 32]\\S_{n} = \frac{9}{2} (44)\\S_{n} = 9*22\\\boxed{S_{n} = 198}[/tex]
The sum of the series = 198._______________
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(7,−7) and (1,1)
Step-by-step explanation:
gradient=vertical /horizontal
g=V/H
g= -8/6
g=-1.3
the equation of a function is y=2\3x +1\3 find
a] the value of y when'
i] x=-3 ii] x=1 1\2
b] the value of x when
i] y=1 ii] y=-1\6
please help me solve this equation asap i have 100 marks exam tommorow!
Answer:
a) i) y = - 5/3
ii) y = 4/3
b) i) x = 1
ii) x = -3/4
Step-by-step explanation:
[tex]y=\dfrac23x +\dfrac13[/tex]
a) i) [tex]x=-3[/tex]
[tex]\implies y=\dfrac23(-3) +\dfrac13\\\\\\\implies y=\dfrac{-6}{3} +\dfrac13\\\\\\\implies y=\dfrac{1-6}{3} \\\\\\\implies y=-\dfrac53[/tex]
ii) [tex]x=1\frac12=\dfrac32[/tex]
[tex]\implies y=\dfrac23\left(\dfrac32\right) +\dfrac13\\\\\\\implies y=\dfrac{6}{6}+\dfrac13\\\\\\\implies y=\dfrac{3}{3}+\dfrac13\\\\\\\implies y=\dfrac{3+1}{3}\\\\\\\implies y=\dfrac43[/tex]
b) i) [tex]y=1[/tex]
[tex]\implies \dfrac23x +\dfrac13=1\\\\\\\implies \dfrac23x =1-\dfrac13\\\\\\\implies \dfrac23x =\dfrac23\\\\\\\implies x =1[/tex]
ii) [tex]y=-\dfrac16[/tex]
[tex]\implies \dfrac23x +\dfrac13=-\dfrac16\\\\\\\implies \dfrac23x =-\dfrac12\\\\\\\implies x =-\dfrac12 \div \dfrac23=-\dfrac12 \times\dfrac32=-\dfrac34[/tex]
Johnny has 2.6 pounds of bananas,3.1 pounds of grapes, and 6.3 pounds of apples. How many pounds of fruit does Johnny have altogether? Show or explain how you solve.Johnny has 2
answer:
the answer is 12 pounds
Step-by-step explanation:
Amount of Bananas that Johnny has= 2.6 pounds
Amount of grapes that Johnny has=3.1 pounds
Amount of apples that Johnny has = 6.3 pounds
Total weight of the fruits= 2.6+3.1+6.3=12 pounds
Fill in the blank so that the ordered pair is a solution of y = 9x – 9.
( __ ,63)
Answer:
(8, 63)
Step-by-step explanation:
Substitute 63 for y and solve for x. x =8.
what is x in the equation 2x+5=31
Answer:
2x+5=31
2x=31-5
2x/2=26/2
x=13
Answer:
X = 13
Step-by-step explanation:
[tex]2x+5=31 \\ 2x = 31 - 5 \\ x = \frac{31 - 5}{2} \\ x = \frac{26}{2} \\ x = 13[/tex]
A pet store has 80 geckos and anole lizards altogether.
The ratio of geckos to anole lizards is 3:5.
How many geckos does the pet store have?
What fraction of the reptiles are geckos?
How many geckos does the pet store have?
geckos
Answer:
30 geckos
fraction: [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Let the numbers of geckos be x, the numbers of anole lizards be y
[tex]x:y=3:5[/tex]
⇒ [tex]5x=3y \left \{ {{a:b=cd}[/tex] → [tex]ad=bc[/tex]
[tex]x+y=80[/tex]
[tex]3x+3y=80\times3[/tex]
[tex]3x+3y=240[/tex]
[tex]3x+5x=240[/tex]
[tex]8x=240[/tex]
[tex]\frac{8x}{8}=\frac{240}{8}[/tex]
[tex]x=30[/tex]
[tex]\frac{30}{80}=\frac{3}{8}[/tex]
I hope this helps you
:)
Find the commission.
Earning Commission
Sales Commision Rate Commission
$540
5%
?
The commission is $
$
Answer:
The answer is $27
Step-by-step explanation:
540 x .05 = 27
Take the commission rate and move the decimal over to the left twice.
Then you multiply it by the sale price.
To make 100g of jam you need 41g of strawberries, 13g of blackberries and the rest should be sugar. What is the ratio of blackberries to sugar? Give your answer in its simplest form.
Answer:
13 : 46
Step-by-step explanation:
First, find amount of sugar.
= 100 - 41 - 13
= 100 - 54
= 46
Blackberries : Sugar
= 13 : 46
Answer:
13 : 46
Step-by-step explanation:
amount of sugar required = 100 - 41 - 13 = 100 - 54 = 46 g
ratio of blackberries : sugar = 13 : 46
All my points here PLS HELP
40 POINTS PLEASE HURRY! Which table shows a set of ordered pairs that satisfies the equation shown?
y = 3x + 2
Answer:
Step-by-step explanation:
The answer is B, if we were to plug all the values of x with its corresponding value of y into the equation, everything matches up
Hope that helps
A mixture contains ninety-two ounces of glycol and water and is forty-five percent glycol. If the mixture is to be weakened to thirty percent, how much water must be added?
Answer:
The original mixture contains 41.4 ounces of glycol. for this to be 30 percent of the mixture, the total mixture must be 138 ounces, so 46 ounces of water must be added.
Susan read 5/6 of her book and tommy read 5/8 of the same book who read more how do you know (4th grade)
Answer:
Susan.
Step-by-step explanation:
If we find a common denominator for both fractions we can find the answer. 6 and 8 both go into 24 so,
5/6 x 4/4 = 20/24
5/8 x 3/3 = 15/24
From doing this we see Susan read more.
Use the scale to help you solve the equation.
x + 122
334
e
Answer:
A. x = 212
Step-by-step explanation:
This scale is showing us that x + 122 is equal to 334 because the scale is balanced and we can see an equal sign (=) in the center. We will set up an equation and solve for x.
[Equation]
x + 122 = 334
[Subtract 122 from both sides]
x = 212
A. x = 212
 The first figure is dilated  two from the second figure 0.6 1.5
The second image is larger so the scale needs to be larger than 1.
to find the scale divide the larger k own side by the smaller similar side:
1.5/0.6 = 2.5
The scale factor is 2.5
Plsss i need this ASAP i will give 30 points
Find the LCM for each pair of numbers.
7. 4,9
8. 3,6
9. 8,10
10. 3,5
11. 12,5
12. 4,11
Answer:
see below
Step-by-step explanation:
7. 4=2^2, 9=3^2, 9*4=36, lcm =36
8. 3=3, 6=3*2, 3*2=6, lcm=6
9. 8=2^3, 10=2*5, 2^3*5=40, lcm = 40
10. 3=3, 5=5, 3*5=15, lcm = 15
11. 12=2^2*3, 5=5, 12*5=60, lcm = 60
12. 4=2^2, 11=11, 4*11=44, lcm =44
What is the difference between confidence level and confidence interval.
Answer:
The confidence level is the percentage of times you expect to get close to the same estimate if you run your experiment again or resample the population in the same way. The confidence interval consists of the upper and lower bounds of the estimate you expect to find at a given level of confidence.
When Kimchi is made, it is initially fermented for the first 3 days at a temperature of 70 degrees Fahrenheit and then immediately moved to a temperature of 50 degrees Fahrenheit for another 3 days after which it is put in a 35 degree refrigerator for 6 days. Write a step function that would model this situation, then graph.
Help please. I have to get my grade up by tomorrow. Please......
The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and
6 days give the following step function;
[tex]\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}[/tex]
Please find attached the graph of the step function?How can the step function be written?The temperature at it is fermented in the first three days = 70 °F
From day 3 to 6 the temperature = 50 °F
From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F
The step function is therefore;
[tex]\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}[/tex]
The graph of the above function created with MS Excel is attached
Learn more about step functions here:
https://brainly.com/question/2509505
a classroom is about 29 feet wide. how wide is this in inches? one foot = 12 inches
Answer:
348in
Step-by-step explanation:
29×12=348
hope this helps
Jared is making accessories for the soccer team. He uses 597.37 inches of fabric on headbands for 39 players and 2 coaches. He also uses 348.66 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Explain how you can convert a decimal that terminates after three decimal places to a fraction.
Answer:
First, let's just pick an arbitrary number as an example 7.031.
the 1 is in the thousandth place, so we can represent this as [tex]7\frac{31}{1000}[/tex].
This is so because determining what denominator of a decimal number is can be known through what non-zero digits is on the right-most side of the number.
Step-by-step explanation:
Answer:
The third digit after a decimal point is in the "thousandth" place.
Therefore, to convert a decimal that terminates after three decimal places to a fraction, simply write the digits (without leading zeros) as the numerator and 1000 as the denominator.
For example:
[tex]12.345=\dfrac{12345}{1000}[/tex]
[tex]0.932=\dfrac{932}{1000}[/tex]
Which equation represents the function on the graph?
f(x)=cos1/2x
f(x)=sin1/2x
f(x)=cos2x
f(x)=sin2x
Answer:
I'm pretty sure the answer is C.
Step-by-step explanation:
Because I'm smart.
Aleks Algebra 2
Knowledge check
Answer:
35w^8
Step-by-step explanation:
Emily and Elijah go out to eat for lunch
Part B
Part A
If Emily and Elijah add a 15% tip to the bill
after tax, what does their lunch cost in total?
If their food and beverages cost $25.30 and
there is a 6% meals tax, how much is the bill?
Answer:
$30.48
Step-by-step explanation:
Meals tax = 25.30 x 1.06
= 26.50
Tip = 1.15 x 26.50
= 30.475
after rounding = $30.48
The meal cost $30.48 in total.
you choose between red, blue, yellow or green wallpaper and purple or yellow carpet find the total number of possible outcomes when you select one color of wallpaper and one color of carpet
Answer:
8 possible outcomes
Step-by-step explanation:
I'm going to list all the possibilities and then count them up.
First Word is the wallpaper color, Second is the carpet color.
Red + Purple, Red + Yellow, Blue + Purple, Blue + Yellow, Yellow + Purple, Yellow + Yellow, Green + Purple, Green + Yellow
After counting them up, we get 8. Therefore there are 8 possible outcomes.
Another way is to multiply the possible outcomes for each event together, and you can get the total number of outcomes. For example, in this problem there is 4 wallpaper colors and 2 carpet colors, so when u multiply them u get 8 total outcomes. Hope this helped!
The box plots show the math scores of students in two different classes:
Based on the box plots, which statement is correct? (4 points)
The median score of Class A is greater than the median score of Class B.
The lower quartile of Class A is greater than the lower quartile of Class B.
The upper quartile of Class A is greater than the upper quartile of Class B.
The maximum score of Class A is greater than the maximum score of Class B.
Answer:
1st statement
Step-by-step explanation:
The line inside the box is the median.
Since in Class A the median line is on around 80 whilst Class B's median is 75.
So Median of
Class A > Class B
What is the answer to this proportion question? 5m-3/63 = 9/21
Answer:
Step-by-step explanation:
21(5m - 3) = 63*9
105m - 63 = 567
105m = 630
m = 6
Answer:
2/21
Step-by-step explanation:
5m=9/21+3/63
5m=27/63+3/63
5m=30/63
5m=10/21
m=10/21/5
m=10/21 x 1/5
m=2/21
sry if wrong
Please help me with this math problem!! It's due tonight!! :)
Answer:
x = 7
Step-by-step explanation:
5x - 1 + 8x + 5 = 95
13x + 4 = 95
13x = 91
x = 7
Triangle in 95° so x is
»8x + 5° + 5x - 1° = 95°
»13x + 4° = 95°
»13x = 91°
»x = 91°/13
»x = 7°✅
Are the two lines parallel, perpendicular, or neither?
Answer:
1-3 are perpendicular ones and the 4th one is parallel
Step-by-step explanation:
Roberto said, "I'm thinking of a fraction that is equivalent to 3/9. The denominator is 2 more than the numerator." What fraction is Roberto thinking of? Enter the numerator in the top blank space and denominator in the bottom blank space.
Answer:
1/3 because 1 is 2 less than 3 and the denominator which is the bottom of a fraction is 2 more so the answer again is 1/3
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.