If the sum of a number and its square is 182, what is the number ?

Answer:  10.6 ft

Step-by-step explanation:

[tex]V = \dfrac{1}{3}\pi r^2h\\\\144 =\dfrac{1}{3}\pi r^2(12)\\\\144 =4\pi r^2\\\\\dfrac{144}{4\pi}=r^2\\\\\\\sqrt{\dfrac{36}{\pi}}=\sqrt{r^2}\\\\\\\dfrac{6}{\sqrt{\pi}}=r\\\\\\10.6=r[/tex]

You subtract 90 from the 300 dollar goal and you’re left with $210. If you then divide that by 10.50 the answer will be 20. So the answer is 20 weeks.

Answer:

x=3

z=65

Step-by-step explanation:

6x+97 and 14x+73  are vertical angles which means they are equal

6x+97= 14x+73

Subtract 6x from each side

6x-6x+97= 14x-6x+73

97 = 8x +73

Subtract 73 from each side

97-73 = 8x+73-73

24 = 8x

Divide each side by 8

24/8 = 8x/8

3 = x

Now we need to find z

6x+97  and z are supplementary angles which means they add to 180

6x+97 +z = 180

6(3) +97 +z = 180

18+97+z=180

Combine like terms

115+z = 180

Subtract 115 from each side

115-115 +z=180-115

z = 65

Answer:

3 : 8

Step-by-step explanation:

Two hours = 120 minutes

Alyssa:Elijah

45 : 120

3 : 8

Answer:

C.) Rectangular prism

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\mathrm{Rectangular \ prism}}[/tex]

Step-by-step explanation:

The net represents a three-dimensional shape.

The figure that the net represents is a rectangular prism.

ANSWER

[tex]x = 0 \: or \: x = \frac{3}{2} \: or \: x = - 3[/tex]

EXPLANATION

The given polynomial function is

[tex]f(x) =2{x}^{3} + 3 {x}^{2} - 9x[/tex]

To find the zeros, we equate the function to zero.

[tex]2{x}^{3} + 3 {x}^{2} - 9x = 0[/tex]

Factor x,

[tex]x(2 {x}^{2} + 3x - 9) = 0[/tex]

Split the middle term,

[tex]x(2 {x}^{2} + 6x - 3x - 9) = 0[/tex]

[tex]x(2x(x + 3) - 3(x + 3) = 0[/tex]

[tex]x(2x - 3)(x + 3) = 0[/tex]

[tex]x=0,2x-3=0,x+3=0[/tex]

[tex]x = 0 \: or \: x = \frac{3}{2} \: or \: x = - 3[/tex]

Answer:

x = -3, x= 0, and x = 1.5

Step-by-step explanation:

The zeros of a function f(x) refers to the x-values for which f(x) = 0.

We simply graph the function and determine the points where the graph crosses the x-axis. Thus, we shall be solving the problem graphically;

From the attachment below, the graph of f(x) crosses the x-axis at;

x = -3, x= 0, and x = 1.5

So what they are trying to say is that they both have the same y-intercept. Easy!

Make y the subject:

5x - 2y = 3

2y = 5x - 3

y = 2.5x - 1.5

The y-intercept is -1.5.

Make y the subject:

x + y = a

y = -x + a

Therefore, a must be -1.5 !

The system of linear equations has a solution on the y-axis only when a = -3/2

We have the system of linear equations:

5x - 2y = 3

x + y = a

Now let's write both in slope-intercept form:

y = (-3/2) + (5/2)x

y = a - x

If we want the lines to intersect at the y-axis, then we will have x = 0, replacing that we get:

y = -3/2

y = a

So, for the system to be consistent, we must have a = -3/2.

If you want to learn more about systems of equations, you can read:

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[tex]\huge\boxed{54-x}[/tex]

I'm assuming you meant "the difference between 54 and a number". We'll use [tex]x[/tex] to represent the number.

The word "difference" means that we will use subtraction, making the answer...

[tex]\boxed{54-x}[/tex]

the other guy is correct

Answer:

A = 78.46

Step-by-step explanation:

55^2 = 50^2 + 35^2 − 2(50)(35)cos(A)

3025 = 2500 + 1225 - 3500 cos A

- 3500 Cos A = -3725 + 3025

-3500 cos A = -700

cos A =  -700/-3500

         = 0.2

A = cos^-1 0.2

A = 78.46

Answer:

A=78.46° (to 4sf)

Step-by-step explanation:

The only way to approach this problem is to solve the equation.

55²=50²+35²-2(50)(35)cos(A)

3025=2500+1225-3500cosA

3025=3725-3500cosA

Now collecting like terms together:

3025-3725=-3500cosA

-700=-3500cosA

CosA=0.2

A=78.46° (to 4sf)

Answer:

c

Step-by-step explanation:

Note there is a difference of 1 between consecutive integers.

let an integer be n then then the next one is n + 1 followed by n + 2

Hence

n + (n + 1) + (n + 2) = 36 → C

Answer:

[tex]\large\boxed{f(x)+(x-3)^2-7}[/tex]

Step-by-step explanation:

[tex]\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7[/tex]

Answer:

[tex]w\leq 100\ pounds[/tex]

Step-by-step explanation:

Let

w------> the weight in pounds

we know that

A delivery company charges an extra fee for a package that weighs more than 100 pounds

so

For

[tex]w> 100\ pounds[/tex] -----> the company charges an extra fee

therefore

For

[tex]w\leq 100\ pounds[/tex] ----> the company not charge an extra fee

The inequality w ≤ 100 expresses the weight limit for Sonia's package. Jesse should use kilograms to weigh the box in the mailroom.

The inequality is: w ≤ 100

Since Sonia can ship packages without paying the extra fee for weights up to 100 pounds. Therefore, any package weighing 100 pounds or less would not incur the additional charge.

Jesse should use kilograms to weigh the box of books in the mailroom because it's a more appropriate metric unit considering the size and weight of the objects in the box.

Answer:

9000 milligrams

Step-by-step explanation:

One gram is the equivalent of 1000 milligrams.

So, 9 grams is 9*1000 milligrams, which is 9000 milligrams.

Answer:

9000 milligrams

Step-by-step explanation:

There are 1000 milligrams in one gram, So 9 grams is 9000 milligrams.

Answer:

(-1,-1)

Step-by-step explanation:

x=y

2x+3x=-5

x=-1

y=-1

Answer:

x = 2

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

[tex]\frac{little}{big} =\frac{little}{big}[/tex].

[tex]\frac{36}{36 + 12}=\frac{24}{24 + 6x - 4}[/tex]

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

[tex]36(24 + 6x - 4)=(36+12)(24)\\36(6x + 20)=48(24)\\216x + 720 = 1152 \\216x = 432\\\frac{216x}{216}=\frac{432}{216} \\x = 2[/tex]

Two plus two is equal to four

Answer:

2+2=4

Step-by-step explanation:

1+1=2

1+1=2

  ^=4

HOPE THIS HELPEDS!!!!! XD

Can I have brain? please

Answer:

Step-by-step explanation:

Thousands. You can check this by seeing how many places away from the furthest right digit a digit is. if it is 3 places away, it is in the thousands. If it something like 6 places away, it is in the millions.

The digit 5 in 1,435,967 represents 50,000 in the tens of thousands place value, highlighting the importance of understanding place values in large numbers.

In the number 1,435,967, the digit 5 is in the tens of thousands place value. To understand this, let's break down the place values in the number:

Millions: The digit 1 is in the millions place value.

Hundred Thousand: The digit 4 is in the hundred thousand place value.

Ten Thousand: The digit 3 is in the ten thousand place value.

Thousands: The digit 5 is not in the thousands place; it's in the tens of thousands place value.

Hundreds: The digit 9 is in the hundreds place value.

Tens: The digit 6 is in the tens place value.

Ones: The digit 7 is in the one's place value.

So, the digit 5 in the number 1,435,967 represents 50,000. In other words, it contributes to a value of 50,000 within the overall number. Place value is a crucial concept in understanding the numerical representation of large numbers, as it helps determine the significance of each digit within the number.

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Answer:

27m

Step-by-step explanation:

The diagram is shown in the attachment.

The height of the hot air balloon is calculated using the tangent ratio.

The tangent ratio involves the side length that is opposite(h) to the given angle (28) and the side length adjacent to the angle.

[tex]\tan 28\degree=\frac{h}{50}[/tex]

This implies that;

[tex]h=\50tan 28\degree[/tex]

[tex]h=26.585m[/tex]

The height is 27m to the nearest meters.

Using the tangent of the angle of elevation, the height of the hot air balloon is calculated to be approximately 26.585 meters.

To find the height of the hot air balloon, we can use trigonometric principles, specifically the tangent function, which relates the angle of elevation to the opposite side (the height of the balloon in this case) and the adjacent side (the distance from you to the balloon).

The angle of elevation to the top of the balloon is given as 28 degrees and the distance from the observer to the balloon is 50 meters. Using the formula for tangent:

tan(angle) = opposite/adjacent

In this case:

tan(28 degrees) = height/50 meters

Therefore, to find the height:

height = 50 meters * tan(28 degrees)

Calculating this using a calculator:

height ≈ 50 * 0.5317

height ≈ 26.585 meters

So, the height of the balloon is approximately 26.585 meters.

Answer:

Answer:

B.

Explanation:

If you want to multiply a parenthesis by a number, you simply distribute the number to all the terms in the parenthesis.

Step-by-step explanation:

Answer:

B. [tex]15x-35[/tex]

Step-by-step explanation:

We are asked to simplify the expression [tex]5(3x-7)[/tex] using distributive property.

Distributive property states that we can multiply a quantity to sum by multiplying each addend separately and then add the products as:

[tex]a(b+c)=a\cdot b+a\cdot c[/tex]

Using distributive property, we will multiply 5 by [tex]3x[/tex] and [tex]-7[/tex] as:

[tex]5\cdot 3x-5\cdot 7[/tex]

[tex]15x-35[/tex]

Therefore, the simplified form of the given expression would be [tex]15x-35[/tex] and option B is the correct choice.

Answer:

[tex]m<1=92\°[/tex]

Step-by-step explanation:

we know that

The sum of the interior angles in a quadrilateral must be equal to 360 degrees

so

[tex]62\°+92\°+114\°+m<1\°=360\°[/tex]

solve for the measure of angle 1

[tex]268\°+m<1\°=360\°[/tex]

[tex]m<1=360\°-268\°=92\°[/tex]

Answer:

The answer is

B. 92 degrees.

Step-by-step explanation:

Answer:

The correct answer is 5

Step-by-step explanation:

To find this, start by multiplying them in any order. For ease, we'll multiply the first and last.

-2/3 * -3 = 2

Now we take that and multiply it by the remaining term.

2 * 2 1/2 = 5

Final answer:

Multiplying −2/3 by 2 1/2 and then by −3 results in the answer 5 after converting the mixed number to an improper fraction, considering the signs during multiplication, and simplifying the result.

Explanation:

To multiply the given numbers and write the answer in simplest form, let's break down the math step by step.

Firstly, convert the mixed number 2 1/2 into an improper fraction. To do this, multiply the whole number by the denominator of the fraction and add the numerator. This gives us 2 x 2 + 1 = 5, so 2 1/2 becomes 5/2.

Now, let's look at the multiplication operation:

−2/3 × (5/2) × (−3) = ( −2 × 5 × −3 ) / ( 3 × 2 )

When multiplying, we multiply the numerators together and the denominators together, which results in:

(−2 × 5 × −3) / (3 × 2) = (+2 × 5 × 3) / 6  = 30 / 6

When considering the signs, remember that when two numbers with the same sign multiply, the result is positive (e.g., −2 × −3 = +6), and when two numbers with opposite signs multiply, the answer is negative (e.g., −3 × 2 = −6).

The final step is to simplify the fraction 30/6, which simplifies to 5, since 30 divided by 6 equals 5.

Therefore, the answer is 5.

Step-by-step explanation:

You didn't provide any context so I can't answer this. BUT!!

If you're looking at two triangles, look for the side corresponding to the unknown side. If it's an equilateral (all sides same length) triangle no need to worry. It's probably a scalene, all different lengths, because math is hard. So you'll have 3 different lengthy sides, and you can probably see which ones correspond with which based on length and position. You can use angles to help you.

Now use the sides you have the value of to determine scale factor.

Divide the length of one of the sides on one triangle by the corresponding side on the other. That's your scale factor. Now multiply it by the side that corresponds to the unknown side, and that is supposed to be your length.

Sorry couldn't help any more

Answer:

thwe answer is c

Step-by-step explanation:

Answer:

credit card

Step-by-step explanation:

a credit card you pay every month not when you use it in the store

Answer:127 pages of paper

Step-by-step explanation:

18 times 7

The maximum number of pages the printer can print in 7 minutes is 119 pages, assuming it prints at the upper limit of 17 pages per minute.

To find the maximum number of pages the printer can print in 7 minutes, we multiply the maximum number of pages it can print per minute by the number of minutes.

Given:

- The printer prints fewer than 18 pages per minute.

- Number of minutes: 7

Let's use the upper limit of the printer's speed, which is 17 pages per minute (since it prints fewer than 18 pages per minute).

Maximum number of pages printed in 7 minutes:

[tex]\[ \text{Pages} = \text{Pages per minute} \times \text{Minutes} \][/tex]

[tex]\[ \text{Pages} = 17 \times 7 \][/tex]

[tex]\[ \text{Pages} = 119 \][/tex]

So, the maximum number of pages the printer can print in 7 minutes is 119 pages.

[tex]m\angle A=180° - m\angle D=108°-72°=108° [/tex]

The measure of angle A is 108 degrees.

We have given that,

ABCD is a parallelogram. If m angle d=72

we have to determine the  m angle a

an angle is a figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.

[tex]m\angle A=180-m\angle D\\=180-72\\=108[/tex]

The measure of angle A is 108 degrees.

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Answer:

Option D. [tex]y=3(x+2)^{2}+5[/tex]

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

[tex]y=a(x-h)^{2}+k[/tex]

where

(h,k) is the vertex of the parabola

If a> 0 then the parabola open up and the vertex is a minimum

If a< 0 then the parabola open down and the vertex is a maximum

In this problem the vertex is the point (-2,5)

so

the equation must be equal to

[tex]y=a(x+2)^{2}+5[/tex] and the value of a is positive

therefore

the answer is the option D

Answer:

y=3(x+2)^2+5

Step-by-step explanation:

y = 3(x+2)^2 + 5 Is the correct answer

The possible values of x are -2.4,1.4,3.9

Step-by-step explanation:

F(x)=3x - 1

G(x)=x³-3x²-4x

when we will plot we are given two functions f(x) and g(x) as:

the graph of these two functions we could clearly see that the point of intersections are the possible solutions of the equation .

F(x)=G(x)

the points of the intersection of this equation is x= -2.4,1.4,3.9

Hence the solutions are  x= -2.4,1.4,3.9.

Answer:

Yes, it does.

Step-by-step explanation:

Every regular shaped figure will have rotational symmetry, since they are built with identical segments all around.

To find the answer, ask yourself « If I rotate the shape, is there a time where I’ll find the exact same shape again with a different angle? »

So, a square has rotational symmetry, but not a rectangle.

A equilateral triangle has rotational symmetry, but not any other type of triangle.

The Ferris wheel shaped like a regular octagon would have rotational symmetry.

The rotational symmetry of a shape makes it possible for an object when rotated on its own axis, the shape of the object looks the same.

For a regular polygon with n sides, there would be n number of rotational symmetry,

The Ferris wheel shaped like a regular octagon would have rotational symmetry.

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