The sum of two odd consecutive integers is 88. Find the integers.

Answers

Answer 1

Answer:

43, 45 are the numbers

Step-by-step explanation:


Related Questions

in 2017 , sharjah unfurled the worlds largest flag measuring 70m in length and 35m in width.the flag broke the guiinness world record for the largest flag hoisted on a fixed flagpole . there are 4 colours that occupy almost the same area in the flag . based on the above information , how much area will the black part occupy

Answers

Answer:

612.5

Step-by-step explanation:

Area is the length times the width

a = 70x35

a = 2450  Divide this number by 4

612.5

25.0 feet

50.0 feet

20.6 feet

19.4 feet

Answers

Using the Pythagorean Theorem, the approximately length of ladder is 20.6 feet

As we know Michael is standing on roof of his house.

He stands 5 feet away from his house

The ladder touches the point 20 feet above the ground and where the Michael standing

In this order we have to find the approximately length of ladder

From this question we can clearly figure out that in this question we have:

Perpendicular= 20 feet

Base = 5 feet

So as we can understand that we have to use Pythagorean Theorem

Pythagorean Theorem:

(Hypotenuse)^2 = (Perpendicular)^2+(Base)^2

(Hypotenuse)^2 = (20)^2+(5)^2

(Hypotenuse)^2 = 400+25

(Hypotenuse)^2 = 425

Hypotenuse=square root(425)

Hypotenuse=20.6 feet

Hence, the approximately length of ladder is 20.6 feet

So the option C is correct.

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cos(θ)=−2√5 / 5
If (θ) is an angle in quadrant ll what is the value of sin (θ)

Answers

The exact value of sin(θ) given that cos(θ) = -2√5/5 is √5/5

How to determine the value of sin(θ):

The given trigonometry ratio is

cos(θ) = -2√5/5

By the trigonometry ratio, we have

sin²(θ) + cos²(θ) = 1

Substitute cos(θ) = -2√5/5 into the above equation

So, we have the following representation

sin²(θ) + (-2√5/5)² = 1

Evaluate the exponent

sin²(θ) + 4/5 = 1

Subtract 4/5 from both sides

This gives

sin²(θ) = 1/5

Take the square root of both sides

√sin²(θ) = √1/5

Evaluate the square root

sin(θ) = ±1/√5

Sin is positive in quadrant II

So, we have

sin(θ) = 1/√5

Rationalize

sin(θ) = 1/√5 * √5/√5

This gives

sin(θ) = √5/5

This gives the value of sin(θ)

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Solve each equation for x. Show all steps.
A) log base 4 (x^2 -12x+48) =2

B) 27^(4x-6) =(1/9)^(2x-7)

Answers

A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8

B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2

Solving equations: Determining the value of x

From the question, we are to solve the given equations

The given equation is log₄(x² - 12x + 48) = 2

From one of the laws of logarithm, we have that

logₐ x = n ⇒ x = aⁿ

Thus,

log₄(x² - 12x + 48) = 2 becomes

(x² - 12x + 48) = 4²

x² - 12x + 48 = 16

x² - 12x + 48 - 16 = 0

x² - 12x + 32 = 0

Solve the quadratic equation

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) -4(x - 8) = 0

(x - 4)(x - 8) = 0

x - 4 = 0 OR x - 8 = 0

x = 4 OR x = 8

B) 27^(4x-6) =(1/9)^(2x-7)

Solve for x

27^(4x-6) =(1/9)^(2x-7)

Express the bases in index form

3^3(4x-6) =(3)^-2(2x-7)

Equate the powers

3(4x - 6) = -2(2x - 7)

12x - 18 = -4x + 14

12x + 4x = 14 + 18

16x = 32

Divide both sides by 16

16x/16 = 32/16

x = 2

Hence, the value of x is 2

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i need help answering this question

Answers

Answer:

Step-by-step explanation:

there is no question?

I need help with solving problem.

Answers

Answer:

x=-1,x=3/5

Step-by-step explanation:

Those are the two values of x

Solve the system of equations by the substitution method.
x+y=8
y=-3x

Answers

Using the substitution method, the solution to the system of equations is: x = -4 and y = 12.

How to Solve a System of Equations by Substitution?

To solve a system of equations using the substitution method, find the value of one of the variables in one equation, then substitute it in the second equation and solve to find the value of the second variable.

Given the equations:

x + y = 8 --> eqn. 1

y = -3x --> eqn. 2

Substitute -3x for y into equation 1:

x + (-3x) = 8

x - 3x = 8

-2x = 8

-2x/-2 = 8/-2

x = -4

Substitute x = -4 into equation 2:

y = -3(-4)

y = 12

The solution is, x = -4 and y = 12.

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A basketball player in a game makes x free throws worth 1 point and y 2-point baskets. The player needs to score at least 28 points to win the scoring title. What inequality represents the number and type of shots the player needs to win the title?

Answers

The inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have A basketball player in a game who makes [x] free throws worth 1 point and [y] free throws worth 2 point baskets. The player needs to score at least 28 points to win the scoring title.

The inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

Therefore, the inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

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Consider the equation and the following ordered pairs: (1,y) and (x,−3).

6x+3y=15

Answers

:- sub in 1 in place of x
6(1)+3y=16
3y= 10
y = 10/3


Sub in -3

6x+3(-3)=15
6x-9=15
6x= 24
x=4


Final answers: (1;10/3)
(4;-3)

Graph y > -
5x + 5.
4

Answers

(I suggest using desmos graphing calculator for the future.)

(0,5) and (4,0) or the one in the left upper corner. Hope this helps.

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.

The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 2), (2, 4), (3, 8), (4, 16)

Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points)

Part B: Write a function to represent the data. Show your work. (4 points)

Part C: Determine the average rate of change between day 2 and day 4. Show your work. (4 points)

Answers

A) It is an exponential equation.

B) y = 2^x

C) The rate between days 2 and 4 is 6 minutes per station number.

Is the data modeling a linear or an exponential equation?

Here we have the following data:

(1, 2), (2, 4), (3, 8), (4, 16)

What you can see is that the x-value of the points increases equially between consecutive pairs (increases of one unit).

while the y-value does not do that.

First, it increases by 2, then by 4, then by 8.

So this is an exponential relation.

B) A general exponential will be of the form:

y = a*(b)^x

Usin the first two pairs (1, 2) and (2, 4) we can write two equations:

2 = a*b^1 = a*b

4 = a*b^2

So we have a little system of equations:

2 = a*b

4 = a*b*b

If we take the second equation and we divide that by the first one we get:

4/2 = (a*b*b)/(a*b)

2 = b

Replacing that in the first equation we get:

2 = a*2

2/2 = a = 1

The equation is:

y = 2^x

C) The average rate of change will be:

R = (2^4 - 2^2)/(4 - 2) = (16 - 4)/2 = 12/2 = 6

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A) It is an exponential equation.

B) y = 2^x

C) The rate between days 2 and 4 is 6 minutes per station number.

Sandy works at a clothing store. She makes $9 per hour plus earns 15% commission on her sales. She worked 76 hours over the last two weeks and had a total of $1,790 in sales before taxes.

Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
A.
$953
B.
$371
C.
$684
D.
$269

Answers

the correct answer is A

9*76=684

1790(0.15) = 268.50

683+268.50



=952

Last year, Dan had $ 10,000 into invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that paid 7% simple interest per year. After one year, he received a total of $730 in interest. How much did he invest in each account?

Answers

The amount invested in the account that yields 10% simple interest is $1,000.

The amount invested in the account that yields 7% simple interest is $9,000.

How much was invested in each account?

The first step is to form a system of equations using the information provided in the question:

a + b = $10,000 equation 1

0.1a + 0.07b = 730 equation 2

Where:

a = amount invested in the account that yields 10% simple interest

b =  amount invested in the account that yields 7% simple interest

The elimination method would be used to solve the equations

Multiply equation 1 by 0.1

0.1a + 0.1b = 1000 equation 3

Subtract equation 2 from equation 3

0.03b = $270

Divide both sides of the equation by 0.03

b = $270 / 0.03

b = 9,000

Substitute for b in equation 1

a + 9,000 = 10,000

a = 10,000 - 9,000

a = 1000

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2x−4y=6

Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,5) so that it will satisfy the given equation.

Answers

you have to find x from:

2x=4y+6

HELP.

This item has two parts: Part A and Part B. Use the function to complete Part A and Part B.

f(x) = (x – 5)(x + 3)(x – 1)2

Which of the following statements CORRECTLY identifies the degree and number of unique zeros of the function?

degree: 3; number of unique zeros: 4

degree: 4; number of unique zeros: 3

degree: 4; number of unique zeros: 4

degree: 3; number of unique zeros: 3

Part B
What is the end behavior of the function?

as x → –∞, f(x) → ∞ and as x → ∞, f(x) → –∞

as x → –∞, f(x) → ∞ and as x → ∞, f(x) → ∞

as x → –∞, f(x) → –∞ and as x → ∞, f(x) → ∞

as x → –∞, f(x) → –∞ and as x → ∞, f(x) → –∞

Answers

The degree and number of unique zeros of f(x) = (x – 5)(x + 3)(x – 1)² is:

Degree: 4; number of unique zeros: 3.

The end behavior of the polynomial is:

As x → –∞, f(x) → ∞ and as x → ∞, f(x) → ∞.

How to obtain the degree of the function?

The degree of the polynomial function is given by the sum of the multiplicities of the roots.

These roots are given as follows:

x = 5 with a multiplicity of 1.x = -3 with a multiplicity of 1.x = 1 with a multiplicity of 2.

Hence the degree is:

1 + 1 + 2 = 4.

The unique zeros are the roots, hence there are three unique zeros, which is the same number of linear factors of the function.

What is the end behavior of the function?

The end behavior is the limit of the function as x goes to negative infinity and to positive infinite, hence:

lim x -> -∞ f(x) = lim x -> -∞ x^4 = (-∞)^4 = ∞.lim x -> ∞ f(x) = lim x -> ∞ x^4 = (∞)^4 = ∞.

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Please help with this table. Not sure why this is difficult ​

Answers


in order: -4, 0.75, 1.25, -13

Gotta answer this quick this is timed please

Answers

Answer:

Step 1:subtract 5 from both sides

step 2: divide both sides by two

final answer: c= p-5/2

Answer:

Step 1: Subtract 5 from both sides.

Step 2: Divide 2 from both sides.

Final answer: C= p-5 / 2

Step-by-step explanation:

the mean absolute deviation of Mr. Zimmerman's class is 0.46 What does this mean

Answers

Mean absolute deviation is the variation in a data set and is the average distance between each value and mean.

It is calculated by finding the difference between each data value and mean and then finding average of that.

So, let data set be x1,x2,x3,x4...xN.

mean of the data set is [tex]\bar{x}[/tex].

then mean absolute deviation will be

[tex]M.A.D=\sum\limits^N_{n=0}\frac{ {x_n-\bar{x}}}{N}[/tex]

Thus, mean absolute deviation shows how much the data vary in the data set.

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solve for x. "-8+x/4=-4" simplify your answer as much as possible

Answers

Answer:

48

Step-by-step explanation:

multiply by 4 to make x whole number

-32+x=16

+32 to isolate x

x=16+32

add for answer

x=48

Line b passes through the point (4, 2) and is
perpendicular
to the x-axis. What is the slope of line b?

Answers

Answer:

The slope would be undefined

Step-by-step explanation:

If the slope is perpendicular to the x-axis that means it is vertical, all vertical lines have undefined slopes therefore the slope is undefined.

A cube has a volume of 125 cubic inches. What us the length of each adge? Enter your answer in the box

Answers

5 inches

I just randomly guessed

You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number greater than 4 the second time.

Answers

The probability of rolling a 3 first time and a number greater than 4 thre second time is 1/18

What is probability?

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6. One is an event that will happen, it is certain. An example of a certain event is tomorrow being Friday if today is Thursday. This is definitely going to happen.

The possible outcomes of a fair die are : 1, 2, 3, 4, 5, 6. which is 6 in all

the required outcome for obtaining a 3 = 3 which is 1 outcome

the required outcome for obtaining a number greater than 4 : 5, 6. which is 2 outcomes.

probability of getting 3 first time = 1/6

probability of getting a number greater than 4 = 2/6 ( lowest term = 1/3)

Probability of rolling a 3 first time and a number greater than 4 second time is  = 1/6 x 1/3 = 1/18

In conclusion, probability of obtaining a 3 and a number greater than 4 is 1/18.

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What is the size of angle x?
Write a justification for your answer.

Answers

The angle x will be 34°.

From the properties of circles we get to know that the angle at the center and the angle between two tangents are always supplementary.

Supplementary angles are those which always sum to to 180°.

For example ∠HJK is supplementary to ∠HIK the their sum will come out to be 180°.

similarly ∠ROP + ∠RQP = 180°

∠RQP = 180° - ∠ROP

∠ROP is given to us 146°

After putting it in the equation above we get ∠RQP = 34°

Therefore x comes out to be 34°.

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b. Kadisha claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7. How many miles has Kadisha walked?

Answers

Based on the figures that we are provided, we can see that Kadisha has walked 10 miles already and is yet to walk 14 miles.

How can the total distance walked by Kadish be obtained?

The total distance Kadisha has to walk is 24 miles

The distance she has walked is represented in the ratio as 5

The distance she has left to work is 7

5x + 7x = 24

12x = 24

x = 2

Therefore, the distance that Kadisha has walked is

5 × 2 = 10 miles

The distance she is yet to walk is

7 × 2 =14 miles

When represented as a ratio, 10/14 is the same as 5/7, so the answer is proven to be correct.

Complete Question:

A hiking trail is 24 miles from start to finish. There are two rest areas located along the trail. a. The first rest area is located such that the ratio of the distance from the start of the trail to the rest area and the distance from the rest area to the end of the trail is 2:9. To the nearest hundredth of a mile, how far is the first rest area from the starting point of the trail? b. Kadisha claims that the distance she has walked and the distance she has left to walk has a ratio of 5:7. How many miles has Kadisha walked?

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what is the solution of the linear-quadratic system of equations y=x^2+2x-3 y=2x+1

Answers

Answer:

  (x, y) = {(-2, -3), (2, 5)}

Step-by-step explanation:

You want to solve the system of equations y=x²+2x-3 and y=2x+1.

Solution

The two expressions for y can be equated, and the resulting equation put in standard form.

  x² +2x -3 = 2x +1

  x² -4 = 0 . . . . . . . . . . subtract (2x+1)

  (x -2)(x +2) = 0 . . . . . factor

Values of x that make the factors zero are 2 and -2.

Corresponding values of y are ...

  y = 2x +1 = 2(2) +1 = 5

  y = 2(-2) +1 = -3

Solutions are ...

(x, y) = (2, 5)(x, y) = (-2, -3)

7v-7-4v-10=v+7-4v help now pleas

Answers

Answer:

v = 4

Step-by-step explanation:

[tex]collect \: like \: terms \: \\ 7v - 4v - v + 4v = 7 + 7 + 10\\ 3v - v + 4v = 14 + 10\\ \\ 2v + 4v = 24 \\ 6v = 24 \\ v = 4[/tex]

The velocity function of a car is given by v(t) = -3t^2 + 18t + 9 m/s. Find the acceleration of the car three seconds before it comes to a stop. A. a = -6.46 m/s² B. a = -2.76 m/s² C. a = -0.46 m/s² D. a = 2.76 m/s²

Answers

The acceleration when the car comes to a full stop is 20.76 meters per square second.

How to find the acceleration?

Here we have the velocity function:

v(t) = -3t^2 + 18t + 9

To find the acceleration we need to differentiate with respect to the variable t, so we will get the acceleration:

a(t) = 2*(-3)*t + 1*18

a(t) = - 6*t + 18

Now, the car will come to a stop when the velocity is equal to zero, so we need to solve:

-3t^2 + 18t + 9 = 0

Dividing all by -3 we get:

(-3t^2 + 18t + 9)/-3 = 0

t^2 - 6t - 3 = 0

The solutions are:

[tex]t = \frac{6 \pm \sqrt{(-6)^2 - 4*1*-3} }{2*1} \\\\t = \frac{6 \pm 6.92}{2}[/tex]

We only care for the positive solution:

t = (6 + 6.92)/2 = 6.46

The acceleration at that time is:

a(6.46) =  - 6*6.46 + 18 = -20.76

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332x39 how do you work it out

Answers

12948
How to do it is below

Give the answer and an explanation

Answers

A triangle is said to be right angle if one of the angles is 90 degrees, the value of the side x for the given right angle triangle is 50.51.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° .

The given right-angle triangle has the following sides,

AC = Base

BC = Perpendicular

AB = Hyp.

By tan function,

Since,tanθ = Perp/Base

tan29° = 28/x

x = 50.51

Hence, "A triangle is said to be right angle if one of the angles is 90 degrees, the value of the side x for the given right angle triangle is 50.51".

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Could you please help with this.

Answers

Answer:

[tex] \sqrt[2]{15} = 7.5[/tex]

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