In Spencer's garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is .

top problems:

1-) x²-2x-8

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2-) 4s²-4s+1

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3-) 6x²-3-7x

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4-) 4u²+8u

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5-) t²-15

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6-) 3x²-x-4

bottom problems:

1-) [tex]\frac{1}{4},-1[/tex]

y=x²+[tex]\frac{3x}{4}-\frac{1}{4}[/tex]

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2-)[tex]\sqrt{2},\frac{1}{3}[/tex]

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3-) 0, √5

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4-) 1,1

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5-)[tex]-\frac{1}{4}, \frac{1}{4}[/tex]

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6-) 4,1

Step-by-step explanation:

1) x²- 2x - 8

= x² - 4x + 2x - 8

= ( x - 4 )(x-2)

2) 4s² - 4s +1

= (2s)² - 2*2*s + 1²

= ( 2s + 1)²

In similar way you can factor out the other expressions .

Answer:

177 Seconds

Step-by-step explanation:

192 + 231 =423

10 minutes is equal to 600 seconds because there are 60 seconds in every minute.

600 - 423 = 177

Final answer:

Sierra listened to a total of 600 seconds of music. After subtracting the length of the first two songs (192 seconds + 231 seconds = 423 seconds), we find the third song was 177 seconds long.

Explanation:

Sierra listened to her playlist for 10 minutes, or 600 seconds, as there are 60 seconds in a minute. She listened to 3 songs where the first song lasted 192 seconds and the second song lasted 231 seconds. To find out how long the third song was, we need to subtract the length of the first two songs from the total listening time.

The total length of the first two songs is 192 seconds + 231 seconds = 423 seconds.

So, the length of the third song is 600 seconds - 423 seconds = 177 seconds, which means the third song lasted for 177 seconds.

Answer:

92.45cm^2

Step-by-step explanation:

The volume of the cone is found with pi*r^2*h/3

Answer:

Step-by-step explanation:

The best way to do a question like this is to see what the answer is and then see if you can get it. The graph is labeled to show what the integer values for each integer point on the graph is.

I don't know what else to add, so if you have any additional problems, please list them under this question. I will see your comment.

A sample calculation would be

y = - abs(-x)

Let x = - 2

y = - abs(-2)

The absolute command changes - 2 to + 2

y = - abs(2)

y = - 2 because of the minus sign in front of  the absolute value command.

So the point is (-2,-2)

Answer: 2 1\2

Step-by-step explanation:

4-1 1\2=2 1\2

After 8 years, the city's population will be 538,156 people.

To calculate the population after 8 years, we can use the formula for compound interest:

\[A = P(1 + r)^n\]

Where:

A = Future population

P = Initial population (380,000)

r = Annual growth rate (6.25% or 0.0625 as a decimal)

n = Number of years (8)

Plugging in these values:

\[A = 380,000(1 + 0.0625)^8\]

\[A ≈ 538,156\]

So, the population of the city after 8 years will be approximately 538,156 people.

To calculate the population after 8 years, we used the formula for compound interest, as population growth can be thought of as compounding annually.

The initial population of 380,000 is multiplied by the growth factor, which is calculated by adding 1 to the annual growth rate expressed as a decimal (0.0625).

This factor is then raised to the power of the number of years (8).

The result is approximately 538,156, rounded to the nearest whole number. This means that with an annual growth rate of 6.25%, the city's population will increase to around 538,156 people after 8 years.

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The population in 8 years will be 663,994 people.

To find the population of a city after 8 years given a 6.25% annual growth rate, we use the formula for exponential growth:

Population = P(1 + r)^t

where:

Given:

Substitute the values into the formula:

Population = 380,000 * (1 + 0.0625)⁸

Calculate:

Rounding to the nearest whole number, the population after 8 years will be 663,994 people.

V = 4/3 π r^3 //Multiply both sides by 3 and divide both sides by 4.

3V/4 = π r^3 //Divide both sides by π

(3V)/(4π) = r^3 //Cube root on both sides.

3√ (3V/4π)

NOTE: 3√ means cube root and not 3 times square root. Everything inside the root is cube root (3V)/(4π).

//Hope it helps.

For this case we have that by definition, the volume of a sphere is given by:

[tex]V = \frac {4} {3} * \pi * r ^ 3[/tex]

We must find the solution for "r", clearing:

Multiplying by 3 on both sides of the equation:

[tex]3V = 4 * \pi * r ^ 3[/tex]

We divide between[tex]4 * \pi[/tex] on both sides of the equation:

[tex]\frac {3V} {4 \pi} = r ^ 3[/tex]

Finally, we apply cubic root on both sides of the equation:

[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]

Answer:

[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]

Answer:

25.5

Step-by-step explanation:

Answer: [tex]2\sqrt{42}cm[/tex] ≈12.96 cm

Step-by-step explanation:

To solve this exercise you must apply the Pythagorean Theorem, which is the shown below:

[tex]a^2=b^2+c^2[/tex]

Where a is the hypotenuse and b and c are the other legs.

You know that the triangle has a leg of 11 cm and the hypotenuse is 17 cm. Therefore, you can substitute values and solve for the other leg.

Then you obtain:

[tex](17cm)^2=b^2+(11cm)^2\\b=\sqrt{(17cm)^2-(11cm)^2}\\b=2\sqrt{42}cm[/tex]

b≈12.96 cm

Solution set: s ∈ (-4, -12). The first option shows the correct number line.

Let's find the number line that shows the solution set for the inequality:

[tex]\left|\frac{s}{2}+4\right| < 2[/tex]

We can solve the inequality by splitting it into two cases, one positive and one negative, and then solving each case separately.

Steps to solve:

1. Split the inequality into two cases:

[tex]\frac{s+8}{2} < 2[/tex]

[tex]-\frac{s+8}{2} < 2[/tex]

2. Solve the first case:

[tex]2 \cdot \frac{s+8}{2} < 2 \cdot 2[/tex]

s + 8 < 2⋅2

s + 8 < 4

s < −4

3. Solve the second case:

[tex]2 \cdot \frac{-(s+8)}{2} < 2 \cdot 2[/tex]

−(s + 8) < 2⋅2

−s − 8 < 2⋅2

−s − 8 < 4

−s < 12

[tex]\frac{-s}{-1} > \frac{12}{-1}[/tex]

s > −12

4. Combine the solutions from both cases:

s < −4 or s > −12

The number line that shows the solution set for the inequality is the one with the shaded regions between −4 and −12.

it's the second one because the first has 2 over x which can't be a polynomial because it can't have a variable on the bottom same thing with the last one and the 3rd one it have a x in the square root sign

Answer:

B

Step-by-step explanation:

Answer:

a) UXW = 78        b) UWY = 48         c)  WZX = 48          d) XYZ = 42

Step-by-step explanation:

There are many ways you can do this, but I'll just describe one for each.

a) Angle YWV is vertical to XWZ, so they are congruent. Angle XWZ is an alternate interior angle with angle UXW, so UXW = 78.

b) All the angles that revolve around point W must add up to 360. We already know 4 angles due to vertical angles, so 78 + 78 + 54 + 54 = 264.

360 - 264 = 96.   There are two angles left, and since they are vertical they must be congruent. 96/2 = 48, so angle UWY is 48 degrees.

c) We already know that the angle vertical to UWY is 48, so WZX is also 48 degrees because they are alternate interior angles.

d) Angle UWY is 48 degrees and angle WUY is 90 degrees because of the perpendicular line. Now we can find XYZ, the remaining angle.

90 + 48 = 138.           180 - 138 = 42.          So XYZ = 42 degrees.

I hope this helped. I'm open to any questions you may have. :)

Answer:

a) UXW = 78 degrees

b) UWY = 48 degrees

c) WZX = 48 degrees

d) XYZ = 42 degrees

Step-by-step explanation:

Apply rules and theorems:

Angles in a triangle add up to 180 degrees.

Angles on a straight line add up to 180 degrees.

Right angles are 90 degrees.

Vertically opposite angles are equal.

With these we can solve for the angles.

Recall that the sum of all interior angles in a triangle is 180°, and that a flat-line is always 180°.

Check the picture below.

Answer:

p=1.

Step-by-step explanation:

All you do is add 6 to both sides to get rid of the 6 on the p side and add 6 to the other side and the value of -5+6 is 1.

p=1.

Answer:

P=1

Step-by-step explanation:

You add 6 on both sides then subract by -5

and it will give you 1

Answer:

a) distance from plane to swimmer = 2127.66 m

b)  distance from swimmer to point D = 1928.31 m

Step-by-step explanation:

Given the question,

height at which the plane is = 900m

angle of depression = 25°

If we closely observe, the whole scene is making an right angle triangle

So, we can use trigonometry identities

cos (90-25) = 900 / AB

0.423 = 900 /AB

AB = 2127.66 m

sin(90-25) = AD /2127.66

AD =  sin(90-25) x 2127.66

AD = 1928.31m

Answer:

Step-by-step explanation:

Y=18.75x + 2500

Change the addition sign to a subtraction = Y=18.75x - 2500

Then bring 18.75x and divide it by 2500 = 133.33 so Y=133.33 if you were to round it would be 133.00

The total wage will be equal to $2593.75.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Miguel recently started a new hourly wage job. The equation y= 18.75x + 2500 models his total pay.

The total wage at 5 hours will be calculated as below:-

y= 18.75x + 2500

y = ( 18.75 x 5 ) + 2500

y = ( 93.75 ) + 2500

y = $2593.75

Therefore, the total wage will be equal to $2593.75.

The complete question is given below:-

Miguel recently started a new hourly wage job. The equation y= 18.75x + 2500 models his total pay, y, in dollars as it relates to the number of hours, x, that he has worked. Calculate the total wage at 5 hours working.

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The diameter of a circle (or in this case a bicycle wheel) is how long it is from one side of the circle striaght across to the other side.  The radius is half the diameter.  So if the diameter is 34, then the radius would be 17.

17 inches

Diameter = 2 * radius

So you can rewrite that as

Radius = diameter / 2

34/2=17

Answer:

[tex]\large\boxed{3\dfrac{18}{19}}[/tex]

Step-by-step explanation:

[tex]\text{First step:}\\\text{Convert the mixed number to the improper fractions:}\\\\7\dfrac{1}{2}=\dfrac{(7)(2)+1}{2}=\dfrac{15}{2}\\\\1\dfrac{9}{10}=\dfrac{(1)(10)+9}{10}=\dfrac{19}{10}\\\\7\dfrac{1}{2}:1\dfrac{9}{10}=\dfrac{15}{2}:\dfrac{19}{10}\\\\\text{Dividing by a fraction is the same as multiplying by the inverse of a fraction}\\\\=\dfrac{15}{2}\cdot\dfrac{10}{19}=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot\dfrac{10\!\!\!\!\diagup^5}{19}=\dfrac{15}{1}\cdot\dfrac{5}{19}=\dfrac{75}{19}=3\dfrac{18}{19}[/tex]

First, convert the mixed fractions into improper fractions. Then, turn the division problem into a multiplication problem by utilizing the concept of reciprocal. This gives us 75/19, or about 3.95 in decimal.

We first need to convert the mixed fractions into improper fractions. To do this, we multiply the whole number by the denominator of the fractional part and then add the numerator, placing this sum over the original denominator. This makes 7 1/2 into 15/2 and 1 9/10 into 19/10. The division problem 7 1/2 divided by 1 9/10 simplifies to 15/2 divided by 19/10.

Next, we remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, we change our division problem into a multiplication problem, transforming 15/2 divided by 19/10 into 15/2 * 10/19.

After multiplying these fractions, we get 150/38, which simplifies to 75/19, which is approximately 3.95 when converted to decimal.

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Answer:

Step-by-step explanation:

Yes, a rhombus

The student draws a shape (trapezoid, kite, chevron, non-rectangular or non-rhombi parallelogram, or other quadrilateral that fits the criteria) and can clearly explain why it is not a square (because it does not have four right angles and four congruent sides), a rhombus (because it does not have four congruent sides)

I hope that help u(:

Answer:

A should be the correct answer

Step-by-step explanation:

1/3π xr^2xh just means "3.14 x r^2 x height ÷ 3"

The right choice is C

See the image

Answer: [tex]25\pi\ ft^2[/tex] (First option)

Step-by-step explanation:

The formula for calculate the area of a circle is the one shown below:

[tex]A=r^2\pi[/tex]

Where r is the radius of the circle.

XY is the diameter. Then the radius is:

[tex]r=\frac{10ft}{2}\\r=5ft[/tex]

Substitute values into the formula shown above. Therefore, the area of the circle is:

[tex]A=(5ft)^2\pi \\A=25\pi\ ft^2[/tex]

Answer:

The correct answer is first option 25pi ft2

Step-by-step explanation:

Formula

Area of circle = πr²

r - Radius of circle

To find the area of given circle

Here XY = 10 ft

XY is the diameter of given circle

Radius r = Diameter/2 = 10/2 = 5 ft

Area = πr² = π5² = π x 5 x 5 = 25π ft²

Therefore area of given circle is 25π ft²

The correct answer is first option.

Answer:

Step-by-step explanation:

(3(-2)*3(5)*-2)^2

(-6*15*-2)^2

180^2

32,400

Answer:

[tex]\Rightarrow \dfrac{576}{625}[/tex]

Step-by-step explanation:

Given:

Expression, [tex](3x^3y^{-2})^2[/tex]

To find the value of expression at x=-3 and y=5

Put the values into expression

[tex]\Rightarrow (3(-2)^3(5)^{-2})^2[/tex]

[tex]\Rightarrow (3\cdot -8\cdot \dfrac{1}{25})^2[/tex]      [tex]\because x^{-m}=\dfrac{1}{x^m}[/tex]

[tex]\Rightarrow (-\dfrac{24}{25})^2[/tex]

[tex]\Rightarrow \dfrac{576}{625}[/tex]

Hence, The value of expression would be [tex]\Rightarrow \dfrac{576}{625}[/tex]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ You cannot form more than one triangle with the sides, because any way you put it, it will always be the same.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

No

Step-by-step explanation:

No

SSS is a way of proving that two triangles are congruent. It also means that the shape and size of the triangle is fixed. There is only 1 way to draw it.

There is 1 other congruency that gives only 1 shape and size. It is SAS.  

You have to reason out ASA. The way it is written (with the side between 2 angles, there is only 1 way possible to draw a triangle with shape and size consistent.  The side must be between the 2 angles..

Answer:

3x

Step-by-step explanation:

If you have 2x, that would mean there is 1x and 1x. T

he question asks what 2x+2x+1x is, and since all three have the same variable you can just add the coefficient.

The coefficients are 1, 1, and 1 since they are in front of the variable.

The variable is x.

Therefore, since 1+1+1=3, your answer is 3x.

Problem 1:

Simplify 5+12+to 17.

4÷17

4 divided by  17 is 0.235294.

Problem 2.

Simplify 3+6+ to 9.

9 + 17 = 26.

Problem 3.

Change 3 + 4 to 7.

7+5÷6

Simplify 5 divided by 6 to 0.833333.

7 + 0.833333.

You simplify that to get 7.833333.

Have an amazing day and thanks for using Brainly.

Answer:

The answer to the question is unit.

Step-by-step explanation:

A fixed amount used as a standard of measurement is called a Unit.

Standard units are the units we usually use to measure the weight, length or capacity of objects. The metric system is the main system of measurement units used in science.

Answer:

unit

Step-by-step explanation:

USA Testprep

Answer:

A = 18

Step-by-step explanation:

The formula for the area of a triangle is  

A = ½bh

b = x₂ - x₁ = 2 - (-2) = 2 + 2 = 4

h = y₂ - y₁ = 5 - (-4) = 5 + 4 = 9

A = ½ × 4 × 9 = 18

The area of the triangle is 18.

Divide 30 minutes by 5 miles to see how many minutes it takes to run run mile.

Multiply the time to run 1 mile by 7 miles.

30 min / 5 miles = 6 minutes per mile.

6 minutes per mile x 7 miles = 42 total minutes.

Slope: 4/3

x-intercept: (-3,0)

y-intercept: (0,4)

slope: 3/4

y intercept: 4

I'm not sure what the x intercept is. Hope this can help!

Answer:

96°

Step-by-step explanation:

so we are given two angles, we can use the two angles that were given to find the angles inside the triangle (2 of them)

then once we find those two angles in the triangle, we can use those to find the third angle

then we can figure out what x is

so both a straight line and a triangle are 180°

angle 1: 180°-134° = 46°

angle 2: 180°- 130° = 50°

now we add the two angles together: 46° + 50° = 96°

one triangle = 180°

180° - 96° = 84° = angle 3

now we can find x by subtracting 84° from 180°

180°-84° = 96°

Answer:

x = 96 degrees

Step-by-step explanation:

As you know the sum of a set of exterior angles is 360 degrees

so

x + 130 + 134 = 360

x + 264 = 360

x = 360 - 264

x = 96