The 11th term of an progression is 25 and the sum of the first 4 terms is 49. The nth term of the progression is 49
1. Find the first term of the progression and the common difference
2. Find the value of n

Answers

Answer 1

Step-by-step explanation:

everything can be found in the picture

The 11th Term Of An Progression Is 25 And The Sum Of The First 4 Terms Is 49. The Nth Term Of The Progression
The 11th Term Of An Progression Is 25 And The Sum Of The First 4 Terms Is 49. The Nth Term Of The Progression

Related Questions

Pls help this is urgent!!!

Answers

Answer:

1/2

Step-by-step explanation:

numbers taken = 1 to 40

multiples of 2 are = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40}

so there are 20 favourable  outcomes.

probability = 20/40

=1/2

for multiples of 3

multiples = {3,6,9,12,15,18,21,24,27,30,33,36,39}

there are 13 favourable outcomes

probability = 13/40

since there is no 13/40 the answer should be the probability of multiples of 2 i.e 1/2

Graph the Image of AKLM after a translation 1 unit left and 7 units up.​

Answers

You are basically just moving the graph as a whole, so k will be at (3.10), m will be at (1,6) and l will be at (7,10)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Pick a point (such as K, L, or M). Count one grid square to the left and 7 up. That is its new location.

Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)
y=

Answers

Answer:

y = (-1/5)x + 23/5

Step-by-step explanation:

Given:

Two points;

(-2,5) and (3,4)

Find:

Equation of slope

Computation:

y = mx + b

5 = m(-2) + b

5 = -2m + b .......... Eq1

4 = m(3) + b

4 = 3m + b .......... Eq2

Eq2 - Eq1

-1 = 5m

m = -1/5

5 = -2m + b

5 = -2(-1/5) + b

5 = 2/5 + b

b = 23/5

y = mx + b

y = (-1/5)x + 23/5

please helppppppppppppppp

Answers

Answer:

10 units

Step-by-step explanation:

Given that,

The area is modeled by the equation as follows :

[tex]A=-l^2-10l+300[/tex]

Where

l is the linear dimensions of the frame.

Put A = 100

So,

[tex]-l^2-10l+300=100\\\\-l^2-10l+200=0\\\\l=10,-20[/tex]

So, the linear dimension of the frame is equal to 10 units.

Simplify: (5x + 3) – (3x – 2)

Answers

Answer: 2x+5

Step-by-step explanation:

(5x + 3) – (3x – 2)

5x+3-3x+2

2x+5

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

╭⋟───────────────

[tex](5x+ 3) - (3x - 2) \\ = 5x + 3 - 3x + 2 \\ = 5x - 3x + 3 + 2 \\ = 2x + 5[/tex]

───────────────⋞╯

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Please help please guys how are you doing

Answers

Answer:

the answer of the the triangle is 6

Answer:

6

Step-by-step explanation:

First row:

8 ÷ 2 = 4. → Square: 4

Second row:

14 - 4 = 10.

[two circles] = 10. So, 10÷2 = 5.

Circle = 5

Third Row:

[triangle] + 5 = 11

11 - 5 = 6

Triangle = 6

Find two consecutive integers whose sum is 901.

Answers

the answer is :

x+1 and x+2

Answer:

900+1=901

Step-by-step explanation:

Which of these strategies would eliminate a variable in the system of equations?
-7x + 2y = 5
3x - 5y = -5

A. Add the equations
B. Multiply the top equation by 3, multiply the bottom equation by 7, then add the equations.
C. Multiply the top equation by 5, multiply the bottom equation by 2, then add the equations.

Answers

Answer:

Step-by-step explanation:

A

Write a recursive formula for the following sequence:10, 5, 0, -5,... *

Answers

Answer:

decrease by 5

Step-by-step explanation:

n= 10

then in sequence,

n= n-5

Which of the following is true regarding the sequence graphed below?
an
35
30
25
• (5, 25)
20
15-
• (4. 16)
10 -
• (3,9)
5
• (2, 4)
1 2 3
4
5 6
7 8
9
n
The sequence is arithmetic because the terms have a common difference.
O The sequence is arithmetic because the terms do not have a common difference

Answers

Answer:

I think the answer is the sequence is arithmetic because the term have a common difference

The correct option is The sequence is not arithmetic because the terms do not have a common difference.

What is an arithmetic sequence?

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k called the common difference.

Given is graph, we need to conclude the true about the graph,

Finding the common difference,

4-1 = 3    

9-4 = 5

16-9 = 7

25-16 = 9

Clearly from the set of values that are given in the graph we could observe that the function that is formed using these set of values is:

y=f(n)=n² where n=1,2,3,4,5,.....

That mean, the following sequence is not an arithmetic sequence as the common difference is different.

Hence, the correct option is The sequence is not arithmetic because the terms do not have a common difference.

Learn more about arithmetic sequence click;

https://brainly.com/question/15412619

#SPJ7

100° - y А (x+2) units Match the values based on parallelogram ABCD, shown in the figure. length of BC value of y mZDAB value of I 56 4 44 2​

Answers

Answer:

BC = 4 units

Value fo y = 44

∠DAB = 56°

Value of x = 2

Step-by-step explanation:

100 - y = 12 + y  (opposite angles of parallelogram are equal)

2y = 88

y = 44

Similarly,

6-x = x+2   (opposite sides of parallelogram are equal)

2x = 4

x = 2

The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.10 Find the probability that X <_-3

Answers

Answer:

0.3 probability that [tex]x \leq -3[/tex]

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x <= -3

The values that are -3 or lower are -3 and -5. So

[tex]P(X \leq -3) = P(X = -3) + P(X = -5)[/tex]

From the table:

[tex]P(X = -3) = 0.13, P(X = -5) = 0.17[/tex]. So

[tex]P(X \leq -3) = P(X = -3) + P(X = -5) = 0.13 + 0.17 = 0.3[/tex]

0.3 probability that [tex]x \leq -3[/tex]

Answer:0.3

Step-by-step explanation:

Do you think a friend would steal a led light controller after sleeping over cause I cannot find it?

Answers

Answer:

maybe u missplaced it somehow and it also would depend if you trust that person or not. some times that 'friend' can turn out to be fake but i don't mean it about ur friend. for now, u should just ask, there's no harm in that.

i would just ask if i were you, there’s no harm in asking but if they just get defensive instead of giving you an answer then maybe they did :/


Use the table to approximate AB in the triangle below.

Answers

Answer:

Answer is 6.1 units

Step-by-step explanation:

The measure of length of AB in the triangle ABC is 6.1 units.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle ABC, BC=5 and ∠A=55°.

We know that, sinθ= Opposite leg length/Hypotenuse length

Here, sinA=BC/AB

sin55°=5/AB

0.82=5/AB

AB=5/0.82

AB=6.1 units

Therefore, the measure of length of AB in the triangle ABC is 6.1 units.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ2

What number is missing here?
2, 3, 5, 8, 13. ?

Answers

Answer:

2, 3, 5, 8, 13 missing number is 18.

Suponga que las calificaciones para el IQ (coeficiente de inteligencia) de una población adulta sigue una distribución aproximadamente normal, con una desviación estándar de 15 . Una muestra aleatoria de 25 adultos procedentes de esa población tiene un IQ medio de 105. Con base en estos datos, ¿es posible concluir que el IQ medio para la población es menor de 100? Utilice un nivel de significación de 0.01

Answers

Answer:

El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.

Step-by-step explanation:

Teste que IQ medio para la población es menor de 100

En la hipótese nula, lo teste es se el IQ medio eres de al menos 100, o sea:

[tex]H_0: \mu \geq 100[/tex]

En la hipótese alternative, lo teste es se el IQ medio es menor de 100, o sea:

[tex]H_1: \mu < 100[/tex]

La estatistica de teste es:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

En que X es el promedio de la muestra, [tex]\mu[/tex] es lo valor testado en la hipótese nula, [tex]\sigma[/tex] es la desviacion estandar y n es lo tamaño de la muestra.

100 testado en la hipótese nula:

Entonces [tex]\mu = 100[/tex]

Desviácion esstándar de 15: Una muestra aleatoria de 25 adultos procedentes de esa población tiene un IQ medio de 105.

Esto significa que [tex]\sigma = 15, n = 25, X = 105[/tex]

Estatisitica de teste:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{105 - 100}{\frac{15}{\sqrt{25}}}[/tex]

[tex]z = 1.67[/tex]

P-value de lo teste e decisión:

El p-value de lo teste es la probabilidad de encontrar una amostra com média abajo de 105, que es 1 subtraído por el p-value de z = 1.67.

En la tabla-z, z = 1.67 tiene un p-value de 0.9525.

1 - 0.9525 = 0.0475

El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.

here we go it riddle time! READY??

whats starts off tall when young and shorter when older

(please dont report we r j trying to have some fun)

Answers

Answer is Candle


Step by step:

Consider the following graph:

What is the limit as it is approaching -1 from the right, what is the limit?

Answers

Answer:

The limit is 0, and the answer is given by option E.

Step-by-step explanation:

Limit to the right:

The limit of a function approacing a value of x to the right is given by the value of the function quite close to the point, looking to the right.

In this question:

Approacing by the right(x quite close, but more than -1, that is, -0.9999...), y tends to 0, so the limit is 0, and the answer is given by option E.

At the end of a snowstorm, Jamal had 18 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 2.5 inches per hour. Assuming no more snow was falling, how much snow would Jamal have on his lawn 5 hours after the snow began to melt? How much snow would Jamal have on his lawn after tt hours of snow melting?

Answers

Answer:

Part 1)

5.5 inches.

Part 2)

[tex]y=-2.5t+18[/tex]

Step-by-step explanation:

We can write a linear equation to model the function.

Let y represent the inches of snow and let t represent the number of hours since the end of the snowstorm.

A linear equation is in the form:

[tex]y=mt+b[/tex]

Since there was 18 inches of snow in the beginning, our y-intercept or b is 18.

Since it melts at a constant rate of 2.5 inches per hour, our slope or m is -2.5.

Substitute:

[tex]y=-2.5t+18[/tex]

This equation models how much snow Jamal will have on his lawn after t hours of snow melting.

So, after five hours, t = 5. Substitute and evaluate:

[tex]y=-2.5(5)+18=5.5\text{ inches}[/tex]

After five hours, there will still be 5.5 inches of snow.

cos() =
O A. V
B.
173
2
OC.
OD.
-3

Answers

Answer:

-√3/2

Step-by-step explanation:

Given the expression:

Cos(7π/6)

Conver to degrees

=  Cos(7(180)/6)

= cos 210

= -√3/2

Hence the value of cos(7π/6) is -√3/2

Find the hypotenuse, c, of the triangle.

Answers

Answer:  12.65

====================================

Work Shown:

a^2+b^2 = c^2  ... pythagorean theorem

c = sqrt(a^2+b^2)

c = sqrt(4^2+12^2)

c = 12.6491106406736

c = 12.65

Answer:

[tex]4 \sqrt{10} [/tex]

Step-by-step explanation:

Given,

Height of the triangle = 4

Base of the triangle = 12

Therefore,

Hypotenuse of the triangle

[tex] {(base)}^{2} + {(height)}^{2} = {(hypotenuse)}^{2} [/tex]

[tex] = > {(12)}^{2} + {(4)}^{2} = {(hypotenuse)}^{2} [/tex]

[tex] = > {(hypotenuse)}^{2} = 144 + 16[/tex]

[tex] = > {(hypotenuse)}^{2} = 160[/tex]

[tex] = > hypotenuse = \sqrt{160} [/tex]

[tex] = > hupotenuse = \sqrt{5 \times 2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] = > hypotenuse = 2 \times 2 \sqrt{5 \times 2} [/tex]

[tex] = > hypotenuse = 4 \sqrt{10} \: (ans)[/tex]

What is the answer plz?

Answers

Answer:

[tex]1\frac{9}{12}[/tex]

Step-by-step explanation:

Convert any whole numbers to improper fractions

[tex]\frac{9}{4}-\frac{3}{6}[/tex]

Find the LCM of the denominators and use multiplication to change the denominators to the LCM

[tex]\frac{27}{12}-\frac{6}{12}[/tex]

Subtract

[tex]\frac{21}{12}[/tex]

Simplify

[tex]1\frac{3}{4}[/tex]

[tex]1\frac{9}{12}[/tex] can be simplified to [tex]1\frac{3}{4}[/tex] so the answer is [tex]1\frac{9}{12}[/tex]

A health clinic dietician is planning a meal consisting of three foods whose ingredients are summarized as follows: One Unit ofFood I Food II Food IIIUnits of Protein 10 15 20Units of Carbohydrates 1 2 1Units of Iron 4 8 11Calories 80 120 100The dietician wishes to determine the number of units of each food to use to create a balanced meal containing at least 40 units of protein, 6 units of carbohydrates, and 12 units of iron, and with as few calories as possible. Use solver to find how many units of each food should be used in order to minimize calories.

Answers

Answer:

z (min) = 360      x₁  =  x₃ = 0   x₂ = 3

Step-by-step explanation:

                             Protein      Carbohydrates    Iron      calories

Food 1  (x₁)               10                       1                   4              80

Food 2 (x₂)               15                       2                  8              120

Food 3 (x₃)               20                       1                  11              100

Requirements         40                        6                 12

From the table we get

Objective Function z :

z  =  80*x₁   +  120*x₂   +   100*x₃     to minimize

Subjet to:

Constraint 1.  at least 40 U of protein

10*x₁  +  15*x₂ + 20*x₃  ≥  40

Constraint 2. at least  6 U of carbohydrates

1*x₁  +  2*x₂  + 1*x₃    ≥  6

Constraint 3.  at least  12 U of Iron

4*x₁   +  8*x₂  +  11*x₃  ≥  12

General constraints:

x₁    ≥  0     x₂   ≥  0    x₃   ≥  0    all integers

With the help of an on-line solver after 6 iterations the optimal solution is:

z (min) = 360      x₁  =  x₃ = 0   x₂ = 3

The function h(x) is a transformation of the square root parent function,
f(x) = V2. What function is h(x)?

Answers

Answer:

[tex]h(x) = \sqrt{x+5}[/tex], option C.

Step-by-step explanation:

The parent function is [tex]f(x) = \sqrt{x}[/tex]

Function h:

Function h is function f shifted left 5 units.

Shifting a function f a units to the left is the same as finding [tex]f(x+a)[/tex]

Thus:

[tex]h(x) = f(x+5) = \sqrt{x+5}[/tex]

The function is [tex]h(x) = \sqrt{x+5}[/tex], and thus, the correct answer is given by option C.

Answer:

          c        

Step-by-step explanation:

what is the sum of the rational expressions x-4/2x+3x/2x-1​

Answers

Answer:

May the ans will help you.

hi will you assit me please? God bless you for helping students ​

Answers

I am not too sure, but I believe that it is C) Acute

Given the inequalities y < 4 x - 6 and y < X - 6 graphed on the same coordinat
grid, which of the following coordinates gives a true statement?
A. (6,-2)
B. (-4,-2)
C. (-6,-2)
D. None of the above

Answers

The correct answer is d

From 1929 through the early 1930s, the prices of consumer goods actually decreased. Economists call this phenomenon deflation. The rate of deflation during this period was about 7% per year, meaning that prices decreased by 7% per year. To get a sense of what this rate would mean in the long run, let's suppose that this rate of deflation persisted over a period of 20 years.

What would be the cost after 20 years of an item that costs $100 initially? (Round your answer to the nearest cent.)
$

Answers

Answer:

23.42

Step-by-step explanation:

If something is decreasing by 7% we can mulitply it by (1-.07) or .93

so our formula is

100(.93)²⁰= 23.42388737

which rounds to 23.42

Using the exponential decline function ; the cost of the item after 20 years would be $23.42

Recall :

[tex] y = A(1 - r)^{t} [/tex] y = final amount A = initial price = $100Rate, r = 7% = 0.07Time, t = 20years

Substitute the values into the equation :

[tex] y = 100(1 - 0.07)^{20} [/tex]

[tex] y = 100(0.93)^{20} [/tex]

[tex] y = 100(0.23423887366)[/tex]

y = $23.42

Therefore, the cost of the item after 20 years is $23.42

Learn more : https://brainly.com/question/8317316

Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate​

Your neighbor is putting in a small square deck with side length x+4, as pictured below, where x is measured in feet. (x + 4) (x + 4) Part A Write a polymonial in standard form that represents the area of the deck Part B. Write an expression for the cost of the lumber for the top of the deck if the lumber costs $5 per square foot. Part C. If x = 3 feet what will be the cost of lumber for the top of the deck?

Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate​

Answers

A: x^2 + 8x + 16

B: 5(x^2 +8x + 16)

C: $245

Please brainliest!

There are red, blue, and white buttons in a box. The ratio of the
number of red buttons to the number of white buttons is 4:7.
The ratio of the number of blue buttons to the number of red buttons
is 3:2. There are 280 white buttons.

How many buttons are there altogether?
Please help i’m very confused

Answers

Answer:

680

Step-by-step explanation:

Ratio of red to white 4 : 7

Number of white = 280

White + red buttons = x

7x / 11 = 280

7x = 280 * 11

7x = 3080

x = 3080 / 7

x = 440

Number of red buttons 440 - 280 = 160

Number of red bottons ;

Blue + red buttons = x

3 : 2 ; blue : red

3 + 2 = 5 ;

2x / 5 = 160

2x = 160 * 5

2x = 800

x = 800 / 2

x = 400

Number of Blue buttons :

400 - 160 = 240

Total :

White + red + blue

280 + 160 + 240 = 680 buttons

Other Questions
A dependent variable is:A. Changed to test a hypothesis.B. Measured to show the effect of a change.C. Kep the same to make an experiment a fair test.CD. Collected to draw conclusions. What is the probability that a marble chosen at random is shaded or is labeled with a multiple of 3?Two-eleventhsThree-eleventhsFive-eleventhsSix-elevenths Types of forest management techniques. A company using IFRS to prepare its financial statements will use a hierarchy to determine what recognition, valuation, and disclosure requirements should be used. 1. IFRS, IAS, IFRS Interpretations 2. Pronouncements of other standard-setting bodies 3. The Conceptual Framework for Financial Reporting Which of the following depicts the correct order of the hierarchy?a. 2,3,1 b. 3,2,1 c. 1.2.3 d. 1,3,2 When copper is heated in air, the solid product that is formed has a greater mass than the original copper. When calcium carbonate is heated in air, the solid product that is formed has less mass than the originalcalcium carbonate. Why is the mass of the solid product greater in one reaction but less in the other reaction? 3. Identify the natural cycle that is shown in the diagram. Then, for each box in the diagram, write one or two sentences explaining the labeled process as it relates to this cycle. 16. What is the opposite of; a la izquerda 1. a la derecha 2.a la derecho 3.entre A sales representative in a shopping centre handed Karl a flyer promoting a style cut and shave for $12 at Lions Mane Barber Shop. As he was actually in need of a haircut and shave, Karl dropped by the barber shop, which was also located in the same shopping centre. When he arrived at the shop and presented his flyer to one of the barbers, he was told that there had been an error in the statement of price on the flyer - it was supposed to be $22 and not $12. The shop manager tried to convince Karl that this was still a bargain price given that a style cut and shave would normally cost $30 in other barbershops.Karl got upset, as he passed by two other barbershops in the same shopping centre that sold haircuts and shaves for $20 to $25. If he had known about the supposed mistake in the Lions Mane flyer, he wouldnt have bothered coming to the shop.Answer the following:(a) Does Karl have any legal grounds to claim the price of $12? (5 marks)(b) Would your answer be different if Karl already had his hair cut and shave before being informed by the real cost of the services was $22? Does he have to pay the full price in this case? (7 marks) is a type of government where the people elect leaders to run the government and make theA(n)laws.A democracy. republicC monarchyD aristocracy Laura made 3 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 3 necklaces was $21.30. If the beads cost $3.90 for each necklace, how much did each pendant cost? what are the three functions if cnidarians gastrovascular cavity? Were the new countries created in Africa after colonization really new Countries?The previous answer was not correct Someone help This mountain slope towers over a town several hundred feet below. Which two weather events present the highest risk to the town when choosing a reliable source, which of these questions should you ask when trying to find a source that matches your topic?A.Why was this source even written?B.What is my central question, and does this source address it?C.What information is available to me from this time period?D.Is the author of this source reliabl 4. What is the unit rate for a pound of seed? Circle the correct answer choice.Pounds of Seed1020Total Cost$17.50$35.00$52.50$70.003040$3.50$1.75$17.50$7.25 a classrom contains 25 children ,out of which 6 are girls.What percent are boys? besides sugar, what other ingredients that can be used as the substrate for yeast fermentation?can anyone help me w this question? What is the correct definition of the term cattle drive?a. separated from spiritual meaning or importanceb. to make peace in a tense situation or to prevent a problem from occurringC. rewards or other offers meant to encourage people to act; rewards that make an offer moreappealingd. moving a herd of cattle from one place to another by herding them or driving them while ridingon horseback Help me with this question please lol:) 1.would be the best hands-on lesson for children to learn about healthy foods?Cutting pictures from magazines to create a poster of healthy foodsUsing a recipe for fruit salad to prepare a healthy snackShowing a picture of a fruit salad to demonstrate a healthy snackO Sorting pictures of foods into healthy and not-healthy piles