Answer:
8x^3 + 22x^2 - 4x
Step-by-step explanation:
5x+4x^2(2x+7)-6x^2-9x
Open the bracket
5x + 8x^3 + 28x^2 - 6x^2 - 9x
= 8x^3 + 28x^2 - 6x^2 - 9x + 5x
= 8x^3 + 22x^2 - 4x
In standard form, the polynomial 5x+4x^2(2x+7)-6x^2-9x is 8x^3 + 22x^2 - 4x
In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 8 in.?
8√ in.
88√ in.
28√ in.
82√ in.
Yo! For anyone who comes across this..answer is D; 8√2in.
Hope this helps!!
The length of the hypotenuse when the length of one of the legs is 8 in. is 8√2 in option (D) is correct.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
It is given:
In a 45-45-90 triangle
The length of one side = 8 in
The length of other side = 8 in (because 45-45-90)
Using Pythagoras theorem:
Hypotenuse = √8² + 8²
= 8√2
Thus, the length of the hypotenuse when the length of one of the legs is 8 in. is 8√2 in option (D) is correct.
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Today Jan put a necklace on layaway by making a down payment of $75 and agreeing to pay $15 per month, starting next month, for 18 months. When will Jan receive the necklace?
Answer:
The answer is 18 months.
Step-by-step explanation:
Today Jan put a necklace on layaway by making a down payment of $75 and agreeing to pay $15 per month, starting next month, for 18 months.
So, she will receive the necklace in 18 months.
Layaway is a system of paying a deposit for your product to secure it for later purchase. When all your payments are done, the product is given to you.
Deon worked 16 hours last week at the grocery store and earned $124.00. If he continues to earn the same hourly pay, how many additional hours must he work to earn another $186.00? A. 20 hours B. 24 hours C. 32 hours D. 62 hours
p(x)= x^3+4x^2-8x-6
a= -2
realtor makes 3% commission. What is the commission on a $200,000 house?
A wheelchair ramp has a slope of 1 10 . if its rise is 1 5 2 feet, what is its run?
The equation of a circle is (x+9)2+(y+6)2=225 .
What is the center of the circle?
Enter your answer in the boxes.
(
,
)
Answer:
[tex](-9,-6)[/tex]
Step-by-step explanation:
We have been given an equation of a circle [tex](x+9)^2+(y+6)^2=225[/tex]. We are asked to find the coordinates of the center of the given circle.
We know that center-radius form of a circle is in format: [tex](x-h)^2+(y-k)^2=r^2[/tex], where,
[tex](h,k)=\text{Center of circle}[/tex],
[tex]r=\text{Radius of circle}[/tex]
Upon comparing our given equation with center-radius form of a circle we will get,
[tex](x-(-9))^2+(y-(-6))^2=15^2[/tex]
Therefore, the center of our given circle is at point [tex](-9,-6)[/tex].
shadesha invests $24,000 at age 27. at the age 31 jerome invests $2000 annually until retirement both invest at 7% compounded annually to plan to retire at 65 who has more money for retirement
How many eggs are needed to make 1 dozen waffles, assuming you have enough of all other ingredients? given: 2 cups flour + 3 eggs + 1 tbs oil → 4 waffles
a. 12
b. 48
c. none of these choices is correct
d. 9
e. 16?
We have been given that
2 cups flour + 3 eggs + 1 tbs oil → 4 waffles
In order to make 4 waffles we need 3 eggs.
Thus, to make 1 waffle we need 3/4 eggs.
Now, in 1 dozen there are 12 waffles. Hence, to make 12 waffles we need
[tex]\frac{3}{4} \times 12\\ \\ =3 \times 3\\ =9[/tex]
Therefore, 9 eggs are needed to make 1 dozen waffles.
D is the correct option.
Final answer:
The correct option is (d) 9. Using the given recipe, we can determine that 9 eggs are needed to make 1 dozen waffles by setting up a proportion and solving for the number of eggs.
Explanation:
The original recipe provided states that 2 cups of flour, 3 eggs, and 1 tablespoon of oil will yield 4 waffles. To find out how many eggs are needed to make 1 dozen (12) waffles, we need to set up a proportion based on the given recipe.
Since 4 waffles require 3 eggs, we can set up the following equation: 4 waffles / 3 eggs = 12 waffles / x eggs. Cross-multiplying gives us 4x = 36, and dividing both sides by 4 gives us x = 9. Therefore, 9 eggs are required to make 1 dozen waffles.
The side of a square measures 2x^2y^3 what is the area of the square if x=-2 and y=2
The area of the square is -128.
Solve 7 + x - 15 = -2
5 1/3
6 1/3
10 2/3
20 2/3
Since the mod decided to delete my question because of a mistake. Please answer. Need it ASAP
Researchers randomly choose two groups from 15 volunteers. Over a period of 9 weeks, one group watches television before going to sleep, and the other does not. Volunteers wear monitoring devices while sleeping, and researchers record dream activity. Which type of study method is described in each situation?
A. not enough information given
B. survey
C. observational study
D. controlled experiment
Find the volume of the pyramid with height 15 and rectangular base with dimensions 3 and 7.
What is the solution to the following system? 3x+3y+6z=9 x+3y+2z=5 3x+12y+12z=18
(3, 1, 0)
(0, 1, 0)
(2, 1, 0)
(–2, 1, 0)
Answer:
C. (2, 1, 0)
Step-by-step explanation:
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The longest side of an obtuse triangle measure 20 cm. the two shorter sides measure x cm.and 3x sm round to the nearest tenth,what is the greatedt possible value of x
22cm is the greatest
It should be greater than17(20-3)
and smaller than 23(20+3)
What is tan (x)?
20/21
20/29
29/21
29/20
Please help math question
A bag contains 10 res marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag. what is the approximate probability that exactly two of the five are blue
Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. He calculates that the extra money he pays in additional interest each year, if invested at the rate of 2% for one year, could earn him simple interest totaling $180. How much does Benson pay in additional interest each month? a. $360 b. $750 c. $900 d. $1,000
Answer:
The correct answer is letter b, $750
Step-by-step explanation:
Celeste wants to have her hair cut and permed and also go to lunch she knows she will need $95. the perm costs twice as much as her haircut and she needs 5$ for lunch. how much does the perm cost
The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set.
Answer:
The correct option is a.
Step-by-step explanation:
The general form of a quadratic regression equation is
[tex]y=ax^2+bx+c[/tex] ..... (1)
Using graphing calculator we get
[tex]a=-0.143393\approx -0.143[/tex]
[tex]b=0.59525\approx 0.595[/tex]
[tex]c=2.82964\approx 2.830[/tex]
Substitute these values in equation (1) to find the quadratic regression equation for this data set.
[tex]y=-0.143x^2+0.595x+2.830[/tex]
Therefore the correct option is a.
There are 750 toothpicks in a regular sized box. If a jumbo box is made by doubling all the dimensions of the regular sized box, how many toothpicks will the jumbo box hold? (With work pls)
To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.
When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.
Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write
[tex]xyz=750[/tex]
Similarly we can write for the jumbo box as,
[tex](2x)(2y)(2z)[/tex]
which is equal to [tex]8(xyz)[/tex]
So this is 8 times the original of [tex]xyz[/tex]. Hence the jumbo box will have 8 times 750 number of toothpicks.
ANSWER: [tex]8*750=6000[/tex] toothpicks
Answer:
6000
Step-by-step explanation:
Find the volume of a cylinder that has the following dimensions. Do not round your answer. (Use 3.14 for π.)
CONVERT M INTO CM
The volume of cylinder is 1962.5 [tex]cm^{2}[/tex].
To find the volume of a cylinder.
What is mensuration?The part of geometry concerned with ascertaining lengths, areas, and volumes. Mensuration deals with the size, region, and density of different forms both 2D and 3D.
Given that:
Radius= 5 cm
Height= 0.25 m=25 cm
π=3.14
By the formula of volume of cylinder
Volume=π[tex]r^{2} h[/tex]
TO put the value,
Volume=3.14*5*5*25
Volume=1962.5 [tex]cm^{2}[/tex]
So, the volume of cylinder is 1962.5 [tex]cm^{2}[/tex].
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WILL GIVE BRAINLIEST
solve for x
A. 70/6
B. 60/16
C. 6
D. 11
Which of the following is a solution of x2 + 6x = −18?
The correct option are a. [tex]\(x = -3 + 3i\)[/tex] and b. [tex]\(x = -3 - 3i\)[/tex].The solutions are complex numbers [tex]\(x = -3 + 3i\)[/tex] and [tex]\(x = -3 - 3i\)[/tex].
To find the solution of the quadratic equation [tex]\(x^2 + 6x = -18\)[/tex], we need to solve it for [tex]x[/tex].
Starting with the given equation:
[tex]\[x^2 + 6x = -18\][/tex]
Rearranging it to the standard form of a quadratic equation:
[tex]\[x^2 + 6x + 18 = 0\][/tex]
Now, to find the solutions, we can use the quadratic formula:
[tex]\[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\][/tex]
where [tex]\(a = 1\), \(b = 6\)[/tex], and [tex]\(c = 18\).[/tex]
Substituting the values:
[tex]\[x = \frac{{-6 \pm \sqrt{{6^2 - 4 \cdot 1 \cdot 18}}}}{{2 \cdot 1}}\]\[x = \frac{{-6 \pm \sqrt{{36 - 72}}}}{2}\]\[x = \frac{{-6 \pm \sqrt{{-36}}}}{2}\]\[x = \frac{{-6 \pm 6i}}{{2}}\]\[x = -3 \pm 3i\][/tex]
So, the solutions are complex numbers [tex]\(x = -3 + 3i\)[/tex] and [tex]\(x = -3 - 3i\)[/tex].
The complete question is:
Which of the following is a solution of [tex]\(x^2 + 6x = -18\)[/tex]?
a) [tex]\(x = -3 + 3i\)[/tex]
b) [tex]\(x = -3 - 3i\)[/tex]
c) [tex]\(x = -3\)[/tex]
d) [tex]\(x = 3\)[/tex]
what is the sum of 2 2/3 and 1 5/6?
1) If the endpoints of the diameter of a circle are (9, 4) and (5, 2), what is the standard form equation of the circle?
Match the y-coordinate with the given x-coordinate for the equation y = log10x.
1. 1/100 -2
2. 1/10 0
3. 1 2
4. 10 1
5. 100 -1
Answer:
Match the y-coordinate with the given x-coordinate for the equation y = log10x.
1. 1/100
3
0
2. 1/10
1
-2
3. 100
2
-1
4. 1
5
2
5. 10
4
1
How do I solve for X?
For an investment of $26,245, a quarterly statement reports that the account balance is $26,292. The statement also reports that for the same quarter, the rate of return on the investment was -0.02%. Given the information regarding the investment's current balance, does the reported rate of return seem reasonable? Use complete sentences to explain your answer.
Answer:
Rate of return is 0.2% positive according to given data. The given rate of return is inconsistent with the given data.
Step-by-step explanation:
The rate of return on the statement is inconsistent with the information given.
As per given data
Investment = $26,245
Account balance = $26,292
Return on the investment
Difference = $26,292 - $26,245 = $47
Investment is increase by $47
Now calculate the percentage of rate of return.
Percentage change = ($47 / $26,245) x 100 = 0.2%
Rate of return is 0.2% positive according to given data. Hence proved that, the given rate of return is inconsistent.