How would I do 4x+45=3x+61

Answer:

D

Step-by-step explanation:

He will have to mix 3 pounds of cashews and 7 pounds of peanuts .

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Let c be denoted as cashew and p be denoted as peanuts

c + p = 10  ⇒ (1)

5.6c + 2.3p = 3.29*10 ⇒ (2)

Multiply eq(1) by 560

Multiply eq(2) by 100

560c + 560p = 5600

560c + 230p = 3290

Subtract and solve for "p":

330p = 2310

p = 7  (amt. of peanuts needed)

substitute  the value of p in eq(1)

c + 7 = 10

c = 3  (amt. of cashews needed)

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Answer: Me no speak spanish

Step-by-step explanation:

Factors estimate 5,897 times 67

The estimate product of the factors 5897 times 67 is 383500.

We have to use strategies to estimate the products.

We can round each factor to the greatest place value which is the place value farthest to the left.

we can use compatible numbers.

compatible numbers are friendly numbers they are easy to compute numbers.

Given 5897\(\times\)67=395099

This is the actual factor

But the estimation product is

We use mental math and compatible numbers here.

step1: 5900\(\times\\\)70=413000

step2:5900\(\times\)65=383500

Both the step1 and step2 are reasonable because the factor are close to the actual factor.

But 5900\(\times\)65=383500 is better because it is very close to the actual factor compared to 5900\(\times\\\)70=413000.

Therefore, The estimate product of the factors 5897 times 67 is 383500.

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There are 105 comparisons made with 15 statistically independent scenarios.

According to the statement

we have given value of n is 15.

Then r = 2. so,

we use the formula NcR then

Substitute the values in it then

15c2

we open it according to ncr formula

In this formula we arrange the terms according to the following

NcR formula = n! /r! * (n-r)!

then the terms will arrange in this way.

So,

ncr = 15! / 2! * 13!

After solving the statement some terms will be cancel with each other and remaining terms are

ncr = 15*14/2

ncr = 210/2

ncr = 105

here the value becomes 105.

So, There are 105 comparisons made with 15 statistically independent scenarios.

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(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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Steps to calculate the area are shown below and the figure is attached below.

The steps of calculating the area of the given figure are,

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Answer:

2.548 pascal

Step-by-step explanation:

force=mass×acceleration due to gravity

force=39×9.8

pressure(p)=force/area

p=382.2/150

p=2.548 pa

Answer:

10,17,24

Step-by-step explanation:

See it for figure hope it has help you

Answer:

The variable "a" can represent anything except a negative number since it is negative 38 on the opposite end, so put 1 or anything higher to make this equation true. :D

Step-by-step explanation:

Answer:

6 4/11

Step-by-step explanation:

Answer:

Step-by-step explanation:

a=4 square units

b=9 square units

sqrt (4+9)

(sqrt(13))^2

c= 13 square units

I'm assuming problem 6 is the graph on the right.

If so, then the slope is 1/2

Start at a point like (0,-1) which is the y intercept. Move up 1 and to the right 2 to arrive at (2,0) which is the x intercept.

The movement pattern "up 1, right 2" determines the slope directly

slope = rise/run = 1/2

rise = 1 = go up 1

run = 2 = go to the right 2

------------------------------

You could also pick two points from the blue line, then use the slope formula. If we picked (0,-1) and (2,0), then

m = (y2-y1)/(x2-x1)

m = (0-(-1))/(2-0)

m = (0+1)/(2-0)

m = 1/2

The classification of the compounds according to their functional class: A | Aldehyde

B | Alcohol

C | Ketone

D | Amine

Compound A contains a carbonyl group (C=O) bonded to two alkyl groups (R-). This is the general structure of an aldehyde. Aldehydes are characterized by their strong, sweet odor.

They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound B contains an oxygen atom (O) bonded to two alkyl groups (R-). This is the general structure of an alcohol. Alcohols are characterized by their ability to dissolve other polar compounds, such as water. They are also used in a variety of products, such as solvents, cleaners, and fuels.

Compound C contains a carbonyl group (C=O) bonded to a propyl group (CH3CH2CH2-) and an amino group (NH2). This is the general structure of a ketone.

Ketones are characterized by their strong, sweet odor. They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound D contains a nitrogen atom (N) bonded to three alkyl groups (R-). This is the general structure of an amine. Amines are characterized by their basic properties. They are also used in a variety of products, such as pharmaceuticals, plastics, and fertilizers.

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The function f(x)=x3−27x has a local maximum at x=3.

To determine this, we can take the derivative of the function and set it equal to zero to find the critical points. The derivative of f(x) is f'(x)=3x2-27. Setting this equal to zero, we get 3x2-27=0, which simplifies to x2=9.
Taking the square root of both sides, we get x=±3. We can then use the second derivative test to determine that x=3 is a local maximum.
The second derivative of f(x) is f''(x)=6x, which is positive at x=3, indicating a concave up shape and a local maximum. Therefore, the local maximum of f(x) is at x=3.

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Hi there!

\(\large\boxed{h = \frac{15x}{y}}\)

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

\(h = \frac{15x}{y}\)

Answer:

a and b*

Step-by-step explanation:

it's kinda self explanatory. she isn't very good at communicating with others. she is rude and disrespectful.

Answer:

The correct answer is B.

The slope of the line is  m = 14 / 17

The line representing  "rise" and " run" is given below

The vertical distance is said to be "rise" and from the graph it is equal to 14.

The horizontal distance is said to be "run" and from the graph it is equal to 17 .

According to the slope formula , we get

     m = 14 / 17

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1 can only be divided by one other integer except1, hence it is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

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Answer:

C: ratio of the horizontal change to the vertical change of a line

Step-by-step explanation:

A and B are correct.

C is incorrect.

Answer: 9.985m/s

Step-by-step explanation:

speed = distance/time

          = 200/20.03

          = 9.9850224663

          ≈ 9.985m/s

Answer: The answer is x=0

Step-by-step explanation:

Rewrite the equation as a trinomial.

x 2 + 12 x + 0

Move 0 to the right-hand side.

x 2 + 12 x = 0

Divide the coefficient of the  x

-term by 2, then square the result. Add the result to both sides.

12 /2 = 6 ;6^2   = 36

x 2 + 12 x + 36 = 36

Factor the perfect square trinomial  

x 2 + 12 x + 36

on the left-hand side.

( x + 6 ) 2 = 36

Take the square root of both sides and solve for  x .

√ ( x + 6 )^ 2 = ± √ 36 =

x+ 6 =  ± 6

x =  − 6 + 6 = 0

x =  − 6  − 6 = − 12

Check

If  x = 0 :

( 0 ) ^2 + 12 ( 0 ) = 0

0 = 0

If  x = − 12 :

( − 12 ) ^2 + 12 ( − 12 ) = 0

144 − 144 = 0

0 = 0

The expression is (3+4=5) Or (3+4≥5). The expression is false. The expression as (3+4=7) or(3+4>5). The number 7 is true.

Given that,

The expression is (3+4=5) Or (3+4≥5).

We have find the value and the expression is true or false.

The expression is false

3+4=5

7=5

The number 7 is not equal to 5.

Now

3+4≥5

7≥5

The number 7 is not equal to 5 but it is greater then 5.

So, we can write the expression as (3+4=7) or(3+4>5)

Therefore, The number 7 is not equal to 5 or The number 7 is not equal to 5 but it is greater then 5. The expression as (3+4=7) or(3+4>5).

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To find the freshman enrollment of 2018, we need to determine the original enrollment figure before the 13.2% increase.

Let's assume the freshman enrollment of 2018 is represented by "x."

According to the information given, the freshman enrollment in 2019 was a 13.2% increase over the previous record in 2018. This can be expressed as:

x + 0.132x = 1060

Combining like terms:

1.132x = 1060

Dividing both sides by 1.132:

x = 1060 / 1.132

x ≈ 937.26

Rounded to the nearest whole number, the freshman enrollment of 2018 at Howard University was approximately 937.

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The expected difference under null hypothesis can be understood by the following :

The required null and alternate hypothesis will be

Null hypothesis :  H0 : μ=μ0

Alternate Hypothesis: H1 : μ<μ0

To determine whether there is a difference in the means of two populations, the z test formula compares the z statistic to the z critical value.

The z critical value in hypothesis testing divides the distribution graph into acceptance and rejection regions. The null hypothesis can be rejected if the test statistic falls within the rejection region; otherwise, it cannot be rejected.

The z test formula  to set up the required hypothesis tests for a one sample and a two-sample z test is

z = (( x−μ) /σ/√n  )x

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Since the information about the weight of each test is not provided, we'll assume that all three tests carry equal weight. Each student would need to score s4 on the next test in order to have an average of 80.

To find the score each student needs on the next test in order to have an 80 average, we need to consider their current scores and the weight of each test.  

Let's assume the three math tests are labeled Test 1, Test 2, and Test 3. We'll denote the scores of each student on these tests as s1, s2, and s3 respectively. The average score for each student can be calculated using the formula:

Average = (s1 + s2 + s3) / 3

To find the score needed on the next test to achieve an 80 average, we can set up an equation and solve for the unknown score on Test 4. The equation is:

(80) = (s1 + s2 + s3 + s4) / 4

We can rearrange the equation to solve for s4:

s4 = 4 * 80 - (s1 + s2 + s3)

This formula calculates the score needed on Test 4 to achieve an 80 average based on the scores obtained in the previous three tests. Each student would need to score s4 on the next test in order to have an average of 80.

It's important to note that this calculation assumes that each test carries equal weight in determining the average score. If the tests have different weights, the formula would need to be adjusted accordingly.

Additionally, it's worth considering any additional grading policies or requirements specific to the course or institution. Some courses may have specific grade distribution requirements or may assign different weights to different tests. Therefore, it's important to consult the course syllabus or communicate with the instructor to ensure an accurate understanding of the grading scheme and the specific requirements for achieving an 80 average.

The complete question is: Each student listed in the table has taken 3 math tests. Find the score each student needs on the next test in order to have an 80 average.

Name     Test 1      Test 2      Test 3       Test 4

Bill           78             78            78             ___

Jill            68            79            74             ___

Phil           72            82            82            ___

Will           91             64            76            ___

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