One positive integer is 3 less than twice another. the sum of their squares is 233. find the integers.

The question involves understanding square roots and cube roots in mathematics. The square root of 16 is 4 and of 4 is 2. The cube root of 4 is about 1.587 and of 16 is approximately 2.52.

The question is related to the concept of roots, specifically square roots and cube roots. A square root of a number is a value that, when multiplied by itself, gives the original number. The square root of 16 is 4 because 4*4 equals 16. Similarly, the square root of 4 is 2 because 2*2 equals 4.

On the other hand, the cube root of a number is a value that, when multiplied by itself twice, gives the original number. The cube root of 4 is approximately 1.587 because 1.587*1.587*1.587 is roughly equal to 4. The cube root of 16 is approximately 2.52 because 2.52*2.52*2.52 is roughly equal to 16.

https://brainly.com/question/13589955

#SPJ12

To find the y-intercept from two points, first calculate the slope using the formula m = (Y₂ - Y₁) / (X₂ - X₁). Then, substitute the slope and one coordinate into the equation y = mx + b and solve for b, which is the y-intercept. The y-intercept reveals the value of y when x = 0.

The subject at hand pertains to the field of Mathematics, specifically, how to determine the y-intercept from two points on a line. The objective is to find the point at which the line intercepts the y-axis, denoted generally in equations as b in the form of y = mx + b, where m signifies the slope.

Here's a step-by-step process to find the y-intercept:

The y-intercept represents the value of y when x = 0. In context, it shows where the line crosses the y-axis.

https://brainly.com/question/29113022

#SPJ12

for estimating round both the price of shoes and the percentage to round numbers

97.65 is close to 100, so use 100 for the price of shoes

68% is close to 70 so use 70%

 then multiply 100 by 70 %,

100 *70% = 70 dollars

 so Isaac would pay around 70 dollars

Step-by-step explanation:

first you need to see how much his sister is paying and she is paying 32% and that is 31.24 then you need to subtract 97.65 by 31.24 which will equal 66.41 so Isaac will pay $66.41 hope this helps if your going to use it change the wording up a bit

The multiplication of the polynomial (6x − 7) and (5x + 8) will be 30x² + 13x − 56.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given below.

(6x − 7) and (5x + 8)

Multiply the polynomials, then we have

⇒ (6x − 7) · (5x + 8)

⇒ 6x · (5x + 8) − 7 · (5x + 8)

⇒ 30x² + 48x − 35x − 56

⇒ 30x² + 13x − 56

The multiplication of the polynomial (6x − 7) and (5x + 8) will be 30x² + 13x − 56.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ2

Andre picked 252 apples.

Final answer:

Using the least squares line equation y = −10.2638 + 0.0491x and substituting 748 for x, the number of reported dead birds, we find the expected number of human West Nile virus cases to be approximately 26 when rounded to the nearest whole number.

Explanation:

The question asks to predict the number of human West Nile virus cases based on the number of reported dead birds using a least squares line equation provided. Given the equation y = −10.2638 + 0.0491x and the value x = 748, which represents the number of dead birds, we can substitute x into the equation to calculate y, the expected number of human cases.

The calculation is as follows:

y = −10.2638 + 0.0491 × 748

y = −10.2638 + 36.7268

y = 26.463

After performing the calculation, we round the result to the nearest whole number:

Expected number of human cases = 26

Answer:

(a+1)(a+27)

Step-by-step explanation:

Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial [tex]Ax^2+Bx+C[/tex] multiply A*C then find two numbers which multiply to this number and add to B. When you find those numbers, write them as [tex](x-/+ number)(x-/+number)[/tex].

[tex]a^2+28a+27[/tex]

A=1, C=27

A*C=27 and add to B=28 which 1 and 27 satisfy

The factors are (a+1)(a+27)

Final answer:

Explanation of determining between which two consecutive integers a square root lies.To find out between which two consecutive integers numbers like √18, √29, √5, and √79 lie, we use the squares of integers to estimate their positions without a calculator, illustrating these numbers lie between integers whose squares are immediately below and above the given number.

Explanation:

To determine between which two consecutive integers a given square root lies without a calculator:

For<6: √18 is between 4 and 5 because 4< √18<5.

For<5: √29 is between 5 and 6 because 5< √29<6.

For=5: √5 is between 2 and 3 because 2< √5<3.

For>7: √79 is between 8 and 9 because 8< √79<9.

Answer:

Each Bag can fit 2 Blueberry Scones and 5 Blackberry Scones

Step-by-step explanation:

Given:

34 Blueberry scones

85 Blackberry scones

34 Blueberry so 34 divided by the Bag 17 (34 ÷ 17 = 2)

85 Blackberry scones so 85 divided by the Bag 17 ( 84 ÷ 17 = 5)

Therefore Jason can put 2 Blueberry scones and 5 Blackberry scones in each Bag

To convert Celsius to Fahrenheit, use the formula [°F] = [°C] x 9/5 + 32. For example, a 16°C temperature would convert to approximately 60.8°F.

The formula you are looking for to convert degrees Celsius to degrees Fahrenheit is [°F] = [°C] x 9/5 + 32. To perform the conversion, you multiply the temperature in degrees Celsius by 9/5 (or 1.8) and then add 32 to the result. This will give you the temperature in degrees Fahrenheit.

For example, if you wanted to convert 16°C to Fahrenheit (perhaps for planning a trip to Spain), you would do the following calculation: [°F] = 16 x 9/5 + 32 = 28.8 + 32 = 60.8°F. Thus, a weather forecast predicting 16°C is approximately equivalent to 60.8°F.

divide total paid by number of pencils for price of 1 pencil

4.50 / 18 = 0.25 for 1

 so you would put a dot at (1, 0.25) (2,0.5) (3,0.75) etc and draw a line through the dots

 see attached picture:

Phoebe got £180, Andy got £60 and Polly got £30

The amount shared is given as:

Amount = £270

Represent Phoebe's share with x, Andy's with y and Polly's with z.

From the question, we have:

x = 3y

y = 2z

So, we have:

x : y : z = 3y : 2z : z

This gives

x : y : z = 6z : 2z : z

When £270 is shared in the above ratio, we have:

x : y : z = 180 : 60 : 30

Hence, Phoebe got £180, Andy got £60 and Polly got £30

Read more about ratios at:

https://brainly.com/question/16981404

The estimated standard error for the mean difference between two samples with sizes of 5 and 10 respectively, and a pooled variance of 30, is calculated using the standard error formula. The standard error is 3.

The question you've asked falls under the realm of statistics, in specific it involves the calculation of the estimated standard error for differences between two sample means (one with n=5 scores and the second with n=10 scores) given a pooled variance of 30.

The formula to find the estimated standard error for a difference between two sample means is:

SE = sqrt[(s1^2/n1) + (s2^2/n2)]

Where s1^2 and s2^2 are the variances of the two samples and n1 and n2 are the sizes of two samples respectively. As we do not know the variances for the individual samples, we can use the pooled variance as an estimate. The pooled variance can be considered as s1^2 = s2^2 = 30.

Now substitute these values in the equation, we get:

SE = sqrt[(30/5) + (30/10)] = sqrt[6+3] = sqrt[9] = 3

So, the estimated standard error for the mean difference between these two samples is 3.

https://brainly.com/question/13179711

#SPJ12

When rounding numbers to the nearest thousand, you look at the hundreds place digit. If it's 5 or higher, you round up, and if it's 4 or lower, you don't. Therefore, 45,469.23 rounds down to 45,000.

When rounding numbers to the nearest thousand in mathematics, you must first look at the hundreds digit of the number. In the case of 45,469.23, the hundreds digit is 4. If this digit is 5 or higher, you round up; if it's 4 or lower, you don't round up. Therefore, since the digit in question is 4, which is less than 5, you don't need to increase the thousands digit. As a result, when you round 45,469.23 to the nearest thousand, you get 45,000.

https://brainly.com/question/19166897

#SPJ2