2) Paul has two and two-thirds pounds of peanuts and a quarter of a pound of cashews . How many more pounds of cashews does he have

Answers

Answer 1

Answer:

Step-by-step explanation:

2 2/3


Related Questions

If costheta=4/5 then what is sec^2theta

Answers

Answer:

[tex]\sec^2(\theta)=\frac{25}{16}[/tex]

Step-by-step explanation:

Recall what the relationship between cosine and secant:

[tex]\sec(\theta)=\frac{1}{\cos(\theta)}[/tex]

In other words, secant is the reciprocal of cosine.

So, if we know cosine, we only need to find its reciprocal to find secant.

We are given that cosine is:

[tex]\cos(\theta)=\frac{4}{5}[/tex]

Then secant must be:

[tex]\sec(\theta)=\frac{5}{4}[/tex]

So:

[tex]\sec^2(\theta)=(\frac{5}{4})^2[/tex]

Square:

[tex]\sec^2(\theta)=\frac{25}{16}[/tex]

And we're done!


A rectangle's perimeter is 92 ft. Its length is 5 ft shorter than two times of its width. Use an equation
to find the rectangle's length and width.

Answers

2 x ( 2w - 5 ) + 2 x w = 92

y=x^2-6x-16 in vertex form

Answers

Answer:

[tex]y=(x-3)^{2} -25[/tex]

Step-by-step explanation:

The standard form of a quadratic equation is [tex]y=ax^{2} +bx+c[/tex]

The vertex form of a quadratic equation is [tex]y=a(x-h)^{2} +k[/tex]

The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.

To find the h-value of the vertex, you use the following equation:

[tex]h=\frac{-b}{2a}[/tex]

In this case, our quadratic equation is [tex]y=x^{2} -6x-16[/tex]. Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.

[tex]h=\frac{-b}{2a}[/tex] ⇒ [tex]h=\frac{-(-6)}{2(1)}=\frac{6}{2} =3[/tex]

Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is [tex]y=x^{2} -6x-16[/tex]

[tex]y=x^{2} -6x-16[/tex] ⇒ [tex]y=(3)^{2} -6(3)-16[/tex] ⇒ [tex]y=9-18-16[/tex] ⇒ [tex]y=-25[/tex]

This y-value that we just found is our k-value.

Next, we are going to set up our equation in vertex form. As a reminder, vertex form is: [tex]y=a(x-h)^{2} +k[/tex]

a: 1

h: 3

k: -25

[tex]y=(x-3)^{2} -25[/tex]

Hope this helps!

A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

Answers

Answer:

[tex]Per\ Capita = 64[/tex]

Step-by-step explanation:

Given

[tex]Books = 2.7 * 10^3[/tex]

[tex]People = 42[/tex]

Required

Determine the per capita

The per capita is calculated by dividing number of books by people as follows;

[tex]Per\ Capita = \frac{Books}{People}[/tex]

Substitute 2.7 * 10^3 for books and 42 for people

[tex]Per\ Capita = \frac{2.7 * 10^3}{42}[/tex]

[tex]Per\ Capita = 64[/tex] (Approximated)

Hence, the per capita is 64

Find the approximate side length of a square game board with an area of 125in2.

Answers

Answer: 11.18

Step-by-step explanation: To find one side of a square, you need to square root it’s area. The square root of 125 is 11.18.

a/x + b/x =c, c ne0
i’ll give more points

Answers

Answer:

  x = (a +b)/c

Step-by-step explanation:

Perhaps you want to solve for x.

Multiply by x:

  a + b = cx

  x = (a +b)/c . . . . . divide by c

3/4+5/36+7/144+.......+17/5184+19/8100

(a)0.95 (b)1 (c) 0.99 (d)0.98​

Answers

Answer:

B) 1

Step-by-step explanation:

All I did was simplify the equation

1509/1600

(Decimal: 0.943125)

HOPE THIS HELPS!!!! :)

<333333333333

a) Let U = {1,2, ., 9} be the universal set, and let
A = {1,2,3,4,5),
C= {5, 6, 7, 8, 9), E= {2,4,6,8),
B = {4, 5, 6, 7),
D= {1, 3, 5, 7, 9), F = {1,5,9}.
Find: i) AUC

Answers

Step-by-step explanation:

(i) AUC={1,2,3,4,5,6,7,8,9}

8x-9x = 150/10 helpp

Answers

Answer:

x =-15

Step-by-step explanation:

[tex]8x-9x = \frac{150}{10} \\\\\mathrm{Add\:similar\:elements:}\:8x-9x=-x\\-x=\frac{150}{10}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{150}{10}=15\\-x=15\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-x}{-1}=\frac{15}{-1}\\\\Simplify\\x=-15[/tex]

(b - 11) / -29 = -18

Answers

Answer:

b=22

Step-by-step explanation:

1 Remove parentheses.

b-11-29=-18b−11−29=−18

2 Simplify b-11-29b−11−29 to b-40b−40.

b-40=-18b−40=−18

3 Add 4040 to both sides.

b=-18+40b=−18+40

4 Simplify -18+40−18+40 to 2222.

b=22b=22

Joe’s dad works 45 hours per week. He receives a weekly salary of $850, plus a 3.5% commission on sales over $6,500. Given the functions f(x) = 0.035x and g(x) = x - 6,500 and the fact that Joe’s dad sold enough this week to earn commission, which composition function represents Joe’s dad’s commissions ? (Ques 26)

Answers

Answer:

f(x) * g(x)

Step-by-step explanation:

Hours worked per week = 45 hours

Weekly salary = $850 plus ;

3.5% commission on sales above $6,500

Given the functions :

f(x) = 0.035x and

g(x) = x - 6,500

and the fact that Joe’s dad sold enough this week to earn commission, which composition function represents Joe’s dad’s commissions ?

Commission = 3.5 / 100 = 0.035

Let his sales for the week = x ; since his sales exceeds 6,500

Hence, sales on which commission is payable is x - 6,500

Hence, commission for the week :

0.035 × (x - 6,500)

f(x) = 0.035 ; g(x) = (x - 6,500)

Composition function:

f(x) * g(x)

Field data have indicated that Unit A has a failure rate of 0.0004 failure per hour. Calculate the reliability of the unit for a 150-hour mission.

Answers

Answer:

Reliability= 149.94

Step-by-step explanation:

Field data have indicated that Unit A has a failure rate of 0.0004 failure per hour.

Reliability per hour=1- failure rate

Reliability per hour= 1-0.0004

Reliability per hour= 0.9996

Reliability= rate if reliability * number of hours

Rate of reliability= 0.9996 per hour

Number of hours= 150 hours

Reliability= 0.9996*150

Reliability= 149.94

Please help me I’m rly confused

Answers

X= 9π ( add 8π on both side)

Need help with this question. Will crown brainliest

Answers

answer f(x)=1/x
g(x)=x+2
f(g(x))=f(x+2)
f(x+2)=1/(x+2)=h(x)

it 3x - 2 = 7, then 3x = 9
is an example of the ?

Answers

Answer:

Addition Property of Equality

Step-by-step explanation:

So we had:

[tex]3x-2=7[/tex]

And then we got:

[tex]3x=9[/tex]

We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:

[tex](3x-2)+2=(7)+2\\3x=9[/tex]

Since we added 2 to both sides, this is an example of the addition property of equality.

Find the following integral.
Integrate x + 5/x^2 +10x +26 dx

Answers

Answer:

[tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{ln|x^2 + 10x + 26|}{2} + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

IntegralsDefinite/Indefinite IntegralsIntegration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx[/tex]

Step 2: Integrate Pt. 1

Set variables for u-substitution.

Set u:                                                                                                             [tex]\displaystyle u = x^2 + 10x + 26[/tex][u] Differentiate [Addition/Subtraction, Basic Power Rule]:                       [tex]\displaystyle du = 2x + 10 \ dx[/tex]

Step 3: Integrate Pt. 2

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}\int {\frac{2(x + 5)}{x^2 + 10x + 26}} \, dx[/tex][Integrand] Expand:                                                                                      [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}\int {\frac{2x + 10}{x^2 + 10x + 26}} \, dx[/tex][Integral] U-Substitution:                                                                               [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}\int {\frac{1}{u}} \, du[/tex][Integral] Logarithmic Integration:                                                               [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}ln|u| + C[/tex]Back-Substitute:                                                                                             [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{1}{2}ln|x^2 + 10x + 26| + C[/tex]Simplify:                                                                                                         [tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{ln|x^2 + 10x + 26|}{2} + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integration

Any places a dot on a coordinate plane (-3,6) she wants to place another dot across the y axis and it must be 8 points away . Where will any place the other dot

Answers

Answer:

(5,6)

Step-by-step explanation:

move the dot 8 spaces to the right because that is the across the y axis.

3.7m∧5÷3.7m∧2 How do I complete this expression?

Answers

The average ocean depth is 3.7 × 103 m, and the area of the oceans is 3.6 × 1014 m2. What is the total volume of the ocean in liters? (One cubic meter contains 1000 liters. Round your answer to one decimal place.)

what number is the opposite of -24

Answers

Answer:

+24 is the opposite of -24 I think

Step-by-step explanation:

Hope it will help ^_^

A positive 24
Positive will always be the opposite of negative

Ashley Traveled 10 miles north, then 8 miles east, then 9 miles south on her boat

Answers

what’s the rest of the question...?

Which of the following Expressions has a coefficient of 10 and a constant of 5?​

Answers

Answer:

10r + 5

Step-by-step explanation: This is the correct answer also i just got my answer wrong lol for reals this is the correct answer

Answer:

its 10x + 5

Step-by-step explanation:

Gordon types 3,666 words in 47 minutes. Find the unit rate.

Answers

Answer:

78 Words per minute

Step-by-step explanation:

A unit rate is simply comparable to an average.  Given this, we can say the following:

Unit_Rate = 3666 Words / 47 minutes

Unit_Rate = 78 Words per minute

Cheers.

Introduction to interval notation

Finding Domain and range

Answers

Domain will be your x-axis
Range will be your y-axis

use the figure to determine the intersection of planes EAB and EFG

FG
EA
EF
no intersection

Answers

Answer:

Option (3). EF

Step-by-step explanation:

From the figure attached,

Plane defined by EAB can be represented by the face EABF of the square prism also.

Similarly, plane EFG can be represented by the face EFGH of the prism.

Now these sides EABF and EFGH are joining each other at the edge EF of the cuboid.

Therefore, intersection of the given planes is EF.

Option (3) will be the answer.

What is the volume of a sphere that has
a radius of 11.5 units?

Answers

Answer:

6370.63 is the volume

Step-by-step explanation:

V=4

3πr3=4

3·π·11.53≈6370.6263

Which of the following expressions is equal to 5^6/5^2? A) 5 • 5 • 5 • 5 B) 5 • 5 • 5 C) 1/5•5•5•5 D) 3

Answers

Step-by-step explanation: To simplify, we will apply the Quotient Rule.

The 5's in this problem are bases so as you apply the quotient rule,

subtract the exponents but leave the base alone to get 5⁴.

We can also write 5⁴ as 5 · 5 · 5 · 5.

Answer:

A) 5*5*5*5

Step-by-step explanation:

Write 20% as a decimal.

Answers

0.2 would be 20% written as a decimal.

Answer:

0.2

Steps:

To convert to a decimal, divide the percent number by 100.

So, 20 divided by 100 = 0.2

Please answer I need this asap

Answers

Answer:

84

Step-by-step explanation:

The equation that models this situation is 1110 = 15x + 150 where x = cameras sold (note that this doesn't include the first 20 cameras, we'll add those on at the end). Let's solve for x!

1110 = 15x + 150

960 = 15x

x = 64 so the answer is 64 + 20 = 84 cameras.

Summarize the data by filling in the frequency (to the nearest whole number), the relative frequency (3 decimals), and the percent frequency (1 decimal) values below. Class Frequency Relative Frequency Percent Frequency 12-14 ( ) ( ) ( ) 15-7 ( ) ( ) ( ) 18-20 ( ) ( ) ( ) 21-23 ( ) ( ) ( ) 24-26 ( ) ( ) ( ) Total ( ) ( ) ( )

Answers

Answer:

The answer is below

Step-by-step explanation:

The relative frequency is the proportion of a class or interval within a category. It is represented by the formula:

Relative frequency = frequency / total frequency

The percent frequency is the relative frequency expressed in percentage, it is given by the formula:

Percent frequency = Relative frequency × 100%

Using the formulas above, the table is filled:

The total frequency = 39

Class           Frequency     Relative frequency         Percent frequency

12 - 14                  2                  2/39 = 0.0513              0.0513 × 100% = 5.13%

15 - 17                  8                  8/39 = 0.2051              0.2051 × 100% = 20.51%

18 - 20                 11                 11/39 = 0.2821              0.2821 × 100% = 28.21%

21 - 23                  9                 9/39 = 0.2308             0.2308 × 100% =23.08%

24 - 26                 9                 9/39 = 0.2308             0.2308 × 100% =23.08%

Class           Frequency     Relative frequency         Percent frequency

12 - 14                  2                  0.0513                          5.13%

15 - 17                  8                  0.2051                          20.51%

18 - 20                 11                 0.2821                          28.21%

21 - 23                  9                 0.2308                          23.08%

24 - 26                 9                 0.2308                          23.08%

The radius of a circle measures 8 yd. What is the circumference of the circle? Use 3.14 for pi, and do NOT round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

The answer is

50.24 yd

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius

From the question

r = 8 yd

π = 3.14

Substitute the values into the above formula and solve

Circumference = 2(8)(3.14)

We have the final answer as

50.24 yd

Hope this helps you

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