The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms

Answers

Answer 1

Answer:

20

Step-by-step explanation:

first term + second term = 4

tenth term = 19

fifth term + sixth term = ?

Since this is an arithmetic sequence:

first term = a

second term = a+d

tenth term = a+9d

Then we have

[tex]2a+d=4 \\ a+9d=19[/tex]

Upon solving the system of equation we have:

[tex]a=1 \\ d=2[/tex]

Since:

fifth term = a+4d

sixth term = a+5d

The final answer is:

fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]


Related Questions

PLEASE NO LINKS AND NO NEGATIVITY

Answers

-4w+32
multiply using the distributive property

work out the value of (3^(12) +3^(5) ) + (3^(2) x 3)

Answers

Answer:

the value of (3^(12) +3^(5) ) + (3^(2) x 3)=531711

There were approximately 16 million visitors to Disneyland in 2012. If the theme park is open every day of the year, about how many people visit per day?

Answers

approximately 43836 (rounded) people visit per day

13-n + 2n > 8 + 1 Solve the given inequality and graph and solution

Answers

because we are finding for the variable and not the coefficient we divide it by the number attached to the variable which is the coefficient to get the result of the variable

Please help with this math problem!! IT'S DUE TONIGHT AT 11:59PM!! NO LINKS PLEASE!! :)

Answers

Answer:

[tex]c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7[/tex]

Step-by-step explanation:

check this pls

but im not sure;-)

pa heart and 5 star

if check po

Answer:

[tex]C= -2p+5, \text{where slope is} ~-2.[/tex]

Step by step explanation:

6) There are 350 calories in
cups of spaghetti. How
many calories are in two cups?
Working With Food

Answers

700 calories!
350*2= 700
700/2= 350
700/350= 2

Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 150 voters, 62 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha ≠.50 (Round to the nearest hundredth.)

Answers

Using the z-distribution, it is found that the p-value is of 0.03.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

[tex]H_a: p \neq 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]

[tex]z = -2.12[/tex]

The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.

To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918

Chance and Destiny went shopping at New Fashion Shop,
Everything in the store was at a 30% discount. Chanice
found a dress that was originally $65.00. What was the sale price?

Answers

$65 of 30% discount
$65-$19.50=$45.50
The sale price would be $45.50

If 4 bushels of oats weigh 112 kg, how much do 8. 5 bushels of oats weigh?.

Answers

Answer:

238 kg

Step-by-step explanation:

If 4 bushels weight 112, then divide 112 by 4 and you get that each bushel weighs 28 kg. Now multiply that by 8.5.

So far, Charlie has pures 456.6 Glories. He wants to burn a total of 500 calorierHow many more calories must Charlie burn?
| 0
2

Answers

Well if he’s burned 456.6 calories already and he needs to get to 500 then you would have to simply subtract 456.6 from 500
The equation: 500 - 456.6 = 43.4
Hope this helps!

These are samples of student work. Both students got the same answer, but did the work differently. Which student did the work correctly?

Answers

Answer:

Student B did the problem corectly

Step-by-step explanation:

Student a did 3*4 while student B did 3*3*3*3 which would equal 27


Please help!! I need this ASAP

Answers

Answer:

a= 2.5 times 42

Step-by-step explanation:

i had this class last year

School yearbooks were printed and the table shows the number of people who bought them the first, second, third, and fourth weeks after their release .which graph could represent the data shown in the table? Table and options below!


PLS HURRY!30 POINTS ANS BRAINLEST!

Answers

Answer: The correct graph that would depict the table correctly would be the first one listed. There is a sudden increase in the last day which would cause the graph to curve. Hope this helps you out! If you need anything else I'm here to help.

The function is an increasing function. The graph that represents the table will be A.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The table is given below.

Week     Number of sales

  1                    84

 2                   102

 3                   158

 4                   271

The slope at different will be given as,

m₁ = (102 - 84) / (2 - 1)

m₁ = 18

m₂ = (158 - 102) / (3 - 2)

m₂ = 56

m₃ = (271 - 158) / (4 - 1)

m₃ = 113

The capability is a rising capability. The diagram that addresses the table will be A.

More about the function link is given below.

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Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 47 hours?

Answers

Answer:

$277.75

5.50×40=220

5.50÷2=2.75

5.50+2.75=8.25×7=57.75

57.75+220=277.75

stions 5-7 the Grade 6 pupils graduated? In a school of 680 Grade 6 pupils, 646 graduated. What percent of the Grade 6 pupils graduated ? ​

Answers

Answer:

95% of Grade 6 pupils graduated

Answer:

95% of Grade 6 Pupils Graduated

Step-by-step explanation:

Express the Statement Mathematically:

646/680

Add Percentage

646/680 * 100%

By Division

0.95 * 100%

Then, Multiply

95%

a store pays $60 for the shoes and sells them for $90. What is the percent markup

Answers

The markup is 20%!!!!

there are 47 students in the science club. all but 5 of them went on a field trip to the planetarium. what is the total cost if each student who went on the field trip paid $7?

Answers

Answer:

294

Step-by-step explanation:

40x7=280

2x7=14

280+14=294

Answer:

$294

Step-by-step explanation:

There is a total of 47 students in the science club.

5 did not go on the trip.

Number of students who went on the trip: 47 - 5 = 42

42 students wen on the trip.

Cost per person: $7

Total cost for 42 students: 42 × $7 = $294

Angle A is in standard position and terminates in quadrant IV. If sec(A)=4 3 , complete the steps to find cot(A). Use the identity to find the value of (A).

Answers

If sec(A) = 4/3, then the value cot(A) is [tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

The given trigonometric identity is:

[tex]sec(A)=\frac{4}{3}[/tex].........................(*)

Note that:

[tex]sec(A)=\frac{Hypotenuse}{Adjacent}[/tex].........................(**)

Comparing (*)  and (**)

Hypotenuse = 4

Adjacent = 3

Find the opposite using the Pythagoras theorem

Hypotenuse²  =  Opposite²  +  Adjacent²

4²   =  Opposite²  +  3²

Opposite² = 4²  -  3²

Opposite²  =  16 - 9

Opposite² = 7

Opposite = √7

cot(A) = Adjacent/Opposite

cot(A) = 3/√7

Rationalize the expression

[tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

Learn more here: https://brainly.com/question/25913087

Answer

1A=B 1B=tan 2=B 3=A

Step-by-step explanation:

ursula drew a polygon in which all the angels were obtuse. what kind of polygon could she have drawn

Answers

Answer:  Hexagon

Explanation:

There are n = 6 sides to a hexagon. If we had a regular hexagon, then each exterior angle is E = 360/n = 360/6 = 60 degrees, which means the adjacent interior angle is 180-E = 180-60 = 120.

In short, each interior angle of a regular hexagon is 120 degrees, making each angle obtuse. Other polygons are possible for the answer.

36in rounded to the nearest tenth for circumference

Answers

Answer: Remember that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.

Solution steps:

Step 1: Locate and underline the tens place () and look to digit to the right (6):

36

Step 2: In this case, the digit to the right 6 is 5 or above. So, we add 1 to the tens place (). The digit(s) after the (6) are dropped. Thus, we get 40 as answer.

In short: 36 rounded to the nearest tens is 40.

Step-by-step explanation:

HURRY QUICK!!

Evaluate the following expression when x = -4 and y = 4.

Answers

Answer: Should be A

Step-by-step explanation:

Not 100% sure but I'm pretty sure it's A

Answer:

A

Step-by-step explanation:

You need to insert the values into the equations

1) [tex]\frac{x^{6} -x}{4y}[/tex]

[tex]\frac{(-4)^{6} -(-4)}{4(4)}[/tex]

Then open the brackets

[tex]\frac{4096 -(-4)}{16}[/tex]

Open the brackets again not forgetting that 2 - equal a positive

[tex]\frac{4100}{16}[/tex]

Simplify

[tex]\frac{1025}{4}[/tex]

A sign along the highway says 6% grade for the next 7 mi. How many feet of vertical change there are along those 7 miles. (5280 feet

Answers

Answer:

Step-by-step explanation:

The length of the road is 7 * 5280 = 36960 feet

The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.

6/100 * 36960 = 221760/100 = 2217.6 is the rise.

If I have a ramp of 8 feet in length and 4 feet in height what is the diagonal length and degree

Answers

Answer:

almost 9

Step-by-step explanation:

A pair of shoes sell for $75 from the manufacturing company. If the store sells the shoes for $150 dollars what is the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store?
Help

Answers

The mark-up (percent increase) of the price of the shoe from the manufacturing company to the store is 100%.

Given the following data:

Cost price = $75 Selling price = $150

To determine the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store:

First of all, we would determine the increase in price of this shoe:

[tex]Increase = selling\;price -cost\;price\\\\Increase = 150-75[/tex]

Increase = $75

For mark-up (percent increase):

[tex]Mark\;up = \frac{Increase}{Cost\;price} \times 100\\\\Mark\;up = \frac{75}{75} \times 100[/tex]

Mark-up = 100%

Read more on mark-up here: https://brainly.com/question/25790940

h(x) = 72 - 1
Over which interval does h have a negative average rate of change?
Choose 1 answer:
-3<<5
1<2<4
-3<<1
-1<<5
3 of
4.00
Check

Answers

Answer:

you're right, keep it up! you're very smart

50+10+23×61×80 please help mee!!​

Answers

Answer:

112300

Step-by-step explanation:

50+10+23*61*80

=60+23*61*80

=60+112240

=112300

The answer 112300, hope this helped :)

Answer:

I think the answer is 112,300.

The quadratic function g(x)=ax^2+bx+c has the complex roots (-5+9i) and (-5-9i).
What is the value of a?
What is the value of b?
What is the value of c?

Answers

Answer:

I don't know sorry

(Statistics)Which of the following is NOT a characteristic of a least squares regression line?

Answers

Based on the information given, the option that's correct is E. All the above are characteristics.

It should be noted that when the least square regression line goes through all the points, the sum of squared residuals is 0.

Also, the least-squares regression line makes the sum of the squares of the residuals as small as possible and the slope is usually between -1 and 1. The smaller the residual sum of squares, the better the model fits the data.

Learn more about the least square regression on:

https://brainly.com/question/16975425

Mr. Williams drew the following image on the board and asked his students to write a sequence of steps explaining how to construct a line which passes through point C and is perpendicular to line AB. The work of two students, Elias and Greyson, is shown.

Answers

.shown is, Greyson and Elias, students two.

Answer:

both Elias and Greyson

Step-by-step explanation:

What is the function graphed below?
3
Oy=x-1
Oy=1 X-1
Oy=1x+11
Oy=x+1

Answers

It would be x + 1 under the absolute value

The function that is graphed below is y = |x + 1|.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).

The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.

When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.

This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.

When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.

This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.

The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.

The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.

Thus,

The function that is graphed below is y = |x + 1|.

Learn more about functions here:

https://brainly.com/question/28533782

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