in coordinates plane, what is the length of the line segment that connects points at (4, -1) and (9, 7) ? round to the nearest hundredth. ____ units.​

Answer:

The radius = 24 units.

Step-by-step explanation:

I am assuming that the 2 radii are equal  then:

1/3 pi r^2 * 96 = 4/3 pi r^3

then:

4/3 pi r^3 / 32 pi r^2 = 1

4/3r^3 / 32 r^2 = 1

4/3 r * 1/ 32 = 1

r = 32 * 3/4

= 24.

Answer:

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

Step-by-step explanation:

Using distributive property:

A : -30(3+2w)  =  -90 - 60w          : equivalent to -90 - 60w

B : (-9-6w) ⋅ 10  = -90 - 60w          : equivalent to -90 - 60w

C : -3(30 - 20w)  = -90 + 60w       : NOT equivalent to -90 - 60w

D : (6 + 4w)×15  = 90 + 60w          : NOT equivalent to -90 - 60w

E : −20(4.5 + 3w) = - 90 - 60w     : equivalent to -90 - 60w

Answer:

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

Answer:

A, B and E.

Step-by-step explanation:

We have -90-60w. Both 90 and 60 are multiples of 30, so we can apply common factor -30:

-90-60w = -30(3+2w). Then option A is correct.

Now, 90 and 60 are also multiples of 10, so we can apply common factor 10:

-90-60w = 10(-9-6w). Then option B is correct.

Now, 90 and 60 are also multiples of 3, so we can apply common factor -3:

-90-60w = -3(30+20w). Then option C is incorrect.

Now, 90 and 60 are also multiples of 15, so we can apply common factor 15:

-90-60w = 15(-6-4w). Then option D is incorrect.

Now, 90 is not a multiple of 20 but we can apply common factor obtainig a decimal number. Applying common factor -20 we have

-90-60w = -20(4.5+3w). Then option E is correct.

Answer:

The solutions are

[tex]x=1+\sqrt{\frac{7}{3}}[/tex]

[tex]x=1-\sqrt{\frac{7}{3}}[/tex]

Step-by-step explanation:

we have

[tex]3x^{2}-6x-4=0[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]3x^{2}-6x=4[/tex]

Factor the leading coefficient

[tex]3(x^{2}-2x)=4[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]3(x^{2}-2x+1)=4+3[/tex]

[tex]3(x^{2}-2x+1)=7[/tex]

Rewrite as perfect squares

[tex]3(x-1)^{2}=7[/tex]

[tex](x-1)^{2}=\frac{7}{3}[/tex]

square root both sides

[tex]x-1=(+/-)\sqrt{\frac{7}{3}}[/tex]

[tex]x=1(+/-)\sqrt{\frac{7}{3}}[/tex]

[tex]x=1+\sqrt{\frac{7}{3}}[/tex]

[tex]x=1-\sqrt{\frac{7}{3}}[/tex]

Answer: is in picture below

Step-by-step explanation:

Answer:

The answer is 70.

Step-by-step explanation:

Change the percent into a decimal and divide 21 by it.

Answer:

Perpendicular to the base

Step-by-step explanation:

The pyramid was sliced in half creating two halves. Since the cross section forms a perpendicular angle, the cut was perpendicular to the base of the solid.

Answer: OPTION C

Step-by-step explanation:

By definition, the roots of the quadratic function are the interceptions of the parabol with the x-axis.

As you can see in the graph, the parabola intersects the x-axis at:

[tex]x=-5\\x=1[/tex]

Then these are the roots.

Therefore, this means that:

[tex]x=-5\\x+5=0\\\\x=1\\x-1=0[/tex]

So, the factorization is the following:

[tex](x+5)(x-1)=0[/tex]

ANSWER

[tex]y = (x + 5)(x - 1)[/tex]

EXPLANATION

From the graph, the x-intercepts are

[tex]x = 1[/tex]

and

[tex]x = - 5[/tex]

This implies that (x-1) and (x+5) are factors of the function represented by the graph.

Therefore we factor the function as

[tex]y = (x + 5)(x - 1)[/tex]

The correct choice is C.

Answer:

Both because they're basically the same thing ;-;

Step-by-step explanation:

1) 23.33 - 15.59 = 7.29

  7.74/6 = 1.29 So he bought 1 soda ;-;

2) 15.59 + 6c = 23.33 - Subtract 15.59 from both sides:

    6c = 7.74 - Divide both sides by 6

    c = 1.29 So he bought 1 soda again

The rest of the money is probably the tax so ;-;

Good luck and hopefully I helped!

Answer:   [tex]\large{\bold{x^\frac{2}{3}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^2} \\\\\text{The exponent is the numerator and the root is the denominator:}\\\\\huge{\boxed{x^{\frac{2}{3}}}}[/tex]

Answer:

Step-by-step explanation:

A=$4.49/5 =$0.90 per LB

B=$0.64 per LB

C=$1.35/2.3 =$0.59 per LB

D=$0.98/1.75 =$0.56 per LB

E=$0.25/3 =$0.08 per oz

The best deal is E because he is only paying 8cents.

Best deals to worst deals= E,D,C,B,A.

put me as branilist answer.

Answer:

A

Step-by-step explanation:

This is an even polynomial because both ends end up. This means the degree of the polynomial is even. This means b and c are not solutions since their degrees are odd.

To determine between A and D look at the x-intercepts. The x-intercepts of a polynomial graph have a special relationship with its equation. The x-intercepts are the solutions or roots of the factors. This means that when each factor is set equal to 0 and solved, its solution is an x-intercept. Here the x-intercepts are x = -1, 0,3. This means the factors are x(x+1)(x-3).

Notice at x = -1, the function touches but does not cross? This means the factor has an even exponent on it.

So the expression is likely x(x+1)^2 (x-3).

Since only one factor has an exponent, the answer is A.

To convert 425 grams of flour to pounds, you can set up a proportion and solve for X. The answer is approximately 1.898 pounds.

To convert grams to pounds, we can use the conversion factor:
1 ounce    1 pound
————- and —————

28.4 grams  16 ounces

To convert 425 grams of flour to pounds, we can set up a proportion:

X pounds    425 grams

16 ounces     28.4 grams

To solve for X, we can cross-multiply and then divide:

X pounds = (425 grams x 16 ounces) / 28.4 grams

Calculating this, we find that X = 1.8978 pounds of flour.

Answer:

C

Step-by-step explanation:

You can just count the number of squares (which I did)

Or you can divide the composite shape into multiple rectangles, find their side lengths, and use the rectangle area formula to find the areas of each of the rectangles and add them all up together.

You could break it down into shapes or just count the squares. It looks like the area is C) 71

Answer:

First choice: m = -4

Step-by-step explanation:

The second equation is already solved for n, so lets's use the substitution method and substitute m - 2 for n in the first equation.

m - 2n = 8

m - 2(m - 2) = 8

m - 2m + 4 = 8

-m + 4 = 8

-m = 4

m = -4

The second equation tells you what 'n' is.  It's "m-2" .

So you can simply write "m-2" in place of 'n' in the first equation.

Then the first equation says [ m - 2(m-2) = 8 ], and you should have no trouble solving that.

Answer:

8.9

Step-by-step explanation:

apply pythagorean relationship

a²+b²=c²

where a=? b=4 and c=6

hence c²-b²=a²

6²-4²=a²

36-16=a²

√20=a

a=√20

but x= 2a

x=2 × √20

x=8.944 ⇒8.9 to the nearest tenth

5 is the factor of 15

Answer:

Step-by-step explanation:

[tex]The \factors\ of\ 15:\ 1,\ 3,\ 5,\ 15\\\\15=1\cdot15\\15=3\cdot\boxed5\\15=5\cdot3\\15=15\cdot1[/tex]

C. two lines are perpendicular

hope this helps :)

Answer:

Step-by-step explanation:

[tex]g(x)=(x^2+4x-12)(x-3)=(x^2+6x-2x-12)(x-3)\\\\=[x(x+6)-2(x+6)](x-3)=(x+6)(x-2)(x-3)\\\\\text{The zeros for}\ g(x)=0:\\\\(x+6)(x-2)(x-3)=0\iff x+6=0\ \vee\ x-2=0\ \vee\ x-3=0\\\\x=-6\ \vee\ x=2\ \vee\ x=3[/tex]

I think the answer is 15.

Hope this helps.

Answer:

15

Step-by-step explanation:

Given that Jared is taking inventory of the books in his school library.

A graph given is a straight line starting from (0,0) passing through points as (1,15) (2,30)...

This implies that on x axis number of shelves and y axis no of books are marked

So for 1 shelf we have 15 books.

Thus constant of proportionality  in terms of number of books per shelf is ___.15

Answer:

5 units right

Step-by-step explanation:

Answer:

18π ft^2

Step-by-step explanation:

Area of Sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where

[tex]\theta[/tex] is the angle of the sector (in our case it is 45°), and

r is the radius (which is 12 ft)

So we plug these into the formula and get our answer to be:

[tex]A=\frac{\theta}{360}*\pi r^2\\A=\frac{45}{360}*\pi (12)^2\\A=\frac{1}{8}\pi*144\\A=18\pi[/tex]

This is our answer: 18π

Answer:

   = 18 ft²

Step-by-step explanation:

The area of a sector is given by the formula;

Area = θ/360 × πr² ; where θ is the angle subtended by the arc to the center, r is the radius.

Therefore;

Area = 45/360 × π ×12²

        = 18 ft²

The emergency fund total amount is [tex]$\boxed{\$11,413.78}$[/tex]. The amount in CD is [tex]$\boxed{\$8,557.334}$[/tex]. The amount in savings account: [tex]$\boxed{\$2,853.445}$[/tex]. Total interest earned: [tex]$\boxed{\$94.896695}$[/tex].

To solve this problem, we will follow these steps:

1. Calculate the total deductions from the gross income.

2. Determine the realized income after deductions.

3. Calculate the fixed expenses based on the realized income.

4. Compute the amount saved in the emergency fund.

5. Divide the emergency fund into the portions for the CD and the savings account.

6. Calculate the interest earned on both the CD and the savings account over 60 days.

7. Sum the interest earned from both accounts to find the total interest.

Let's begin:

1. Calculate Total Deductions:

Gross income = $4,520.00/month

FICA = 7.65% of gross income

Federal tax withholding = 11.75% of gross income

State tax withholding = 8.5% of gross income

Total deductions = FICA + Federal tax withholding + State tax withholding

Total deductions = 0.0765 × $4,520 + 0.1175 × $4,520 + 0.085 × $4,520

2. Determine Realized Income:

Realized income = Gross income - Total deductions

3. Calculate Fixed Expenses:

Fixed expenses = 30% of realized income

4. Compute the Amount Saved in the Emergency Fund:

Emergency fund = 5 months' worth of realized income after fixed expenses

Emergency fund = 5 × (Realized income - Fixed expenses)

5. Divide the Emergency Fund:

75% in a CD and 25% in a savings account

CD amount = 0.75 × Emergency fund

Savings account amount = 0.25 × Emergency fund

6. Calculate Interest Earned:

Interest on CD = CD amount × (5.25% APR / 12) × (60 / 30)

Interest on savings = Savings account amount × (3.8% APR / 12) × (60 / 30)

7. Calculate Total Interest Earned:

Total interest = Interest on CD + Interest on savings

Now, let's perform the calculations:

1. Total deductions = 0.0765 × $4,520 + 0.1175 × $4,520 + 0.085 × $4,520

Total deductions = $344.28 + $530.44 + $384.20

Total deductions = $1,258.92

2. Realized income = $4,520 - $1,258.92

Realized income = $3,261.08

3. Fixed expenses = 0.30 × $3,261.08

Fixed expenses = $978.324

4. Emergency fund = 5 × ($3,261.08 - $978.324)

Emergency fund = 5 × $2,282.756

Emergency fund = $11,413.78

5. CD amount = 0.75 × $11,413.78

CD amount = $8,557.334

Savings account amount = 0.25 × $11,413.78

Savings account amount = $2,853.445

6. Interest on CD = $8,557.334 × (0.0525 / 12) × 2

Interest on CD = $8,557.334 × 0.004375 × 2

Interest on CD = $76.640625

Interest on savings = $2,853.445 × (0.038 / 12) × 2

Interest on savings = $2,853.445 × 0.0031667 × 2

Interest on savings = $18.25607

7. Total interest = $76.640625 + $18.25607

Total interest = $94.896695

Answer:

7 1/2 reciprocal: 9

Step-by-step explanation:

Flip the fraction for the reciprocol

Answer:

a≈2.594

b≈2.705

c≈2.718

d≈2.718

e≈2.718

Step-by-step explanation:

To  solve this exercise you must substitute the corresponding values of x shown in the table, into the function given.

To find a, substitute x=10, then:

a≈[tex]y=(1+\frac{1}{10})^{10}[/tex]

a≈2.594

To find b, substitute x=100, then:

b≈[tex]y=(1+\frac{1}{100})^{100}[/tex]

b≈2.705

To find c, substitute x=10,000:

c≈[tex]y=(1+\frac{1}{10,000})^{10,000}[/tex]

c≈2.718

To find d, substitute x=100,000:

d≈[tex]y=(1+\frac{1}{100,000})^{100,000}[/tex]

d≈2.718

To find e, substitute x=1,000,000:

e≈[tex]y=(1+\frac{1}{1,000,000})^{1,000,000}[/tex]

e≈2.718

Answer:

just took the test and heres ur answers

2.594

2.705

2.718

2.718

2.718

promise  these are the answers

Step-by-step explanation:

Answer:

Standard form:

78,020,008

Word form:

seventy-eight million, twenty thousand, eight

so we're trying to figure what portion of silas' slime is detergent. we know that his slime is a combo of 5 oz glue and 2 oz detergent for a total of 7 oz of slime.

what we want to find is how much of those 7 oz of slime is detergent.

quite simply 2 oz of the 7 is detergent.

to make that into a percent just divide 2 by 7.

2/7 = 0.2857

then move the decimal over two spots to get

28.57 or

D. 28.6%

just remember that percents are just how much makes up the whole.

the correct answer is b, think of it as a mirror, if x and y are positive and you flip them, it will soon be -x and -y :)

Answer:

The answer wold be B the reason for this is because at first the student started in the positive area of the x and y axis but when reflected over the x axis it cause it to go into the negative part know as quadrant 4 in a graph

Step-by-step explanation:

Answer:

The first monthly interest is (A) $24.00

Step-by-step explanation:

This question can be soled using the concept of simple interest.

Simple interest can be calculated by the formula,

[tex]S.I = \frac{prt}{100}[/tex]

here P = 2400, r = 12, t 1/12. putting the values in the above equation we get

[tex]S.I = \frac{prt}{100}= \frac{2400*12*1}{100*12}=24.00[/tex]

thus The interest paid in first month is $24.00

Learn more about interests here https://brainly.com/question/20690803

#SPJ2

Answer: [tex]90cm^3[/tex]

Step-by-step explanation:

A rectangular prism is a three-dimensional solid.

A rectangular prism has six faces (each one of these faces are rectangles), eight vertices and twelve edges.

You know that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters ([tex]18cm^3[/tex]).

Assuming that all these layers are equal, the volume of this rectangular prism can be calculated with:

[tex]V_{prism}=5*V_1[/tex]

Where [tex]V_1[/tex] is the volume of one layer.

Substituting, you get:

[tex]V_{prism}=(5)(18cm^3)\\\\V_{prism}=90cm^3[/tex]

Answer:

168

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Since we have the same amount of each ingredient, the first step is to find out what will be the limiting ingredient (of which we need more quantity per cake) that ingredient is flour.

So the cakes we can make with 75 cups of flour will be the total cakes we can make.

since we need 3 cups of flour per cake:

[tex]\frac{75 cups}{3cups/cake} =25 cakes[/tex]

we can make 25 cakes in total.

*sugar will be left over but because with 25 cakes the flour ends, this is the total amount of cakes we can make,