Answer:
6y3+17y2+22y+15
Step-by-step explanation:
Answer:
6y³ + 17y² + 22y + 15
Step-by-step explanation:
(2y+3) ( 3y² +4y+5)
Keep the 'FOIL' method (first, outside, inside, last) when distributing and you'll end up with
(2y)(3y² ) + (2y)(4y) +(2y)(5 ) +(3)(3y2) + (3)(4y) + (3)(5)
Now, multiply each set to get
6y³+8y²+10y+9y²+12y+15
From there, just simplify/combine like terms (8y² + 9y² and 10y + 12y) to get your final answer: 6y³ + 17y² + 22y + 15
A 6-pack of dish towels costs $21.42. What is the unit price?
Answer:
3.57
Step-by-step explanation:
Answer:
$3.57 for each towel
Step-by-step explanation:
It is $21.42 for a 6-pack of towels, so take $21.42 and divide it by 6. Therefore, you will get $3.57 for each towel. I hope this helps! Stay safe and have a wonderful day! Peace! ✌
pls help with this asap
Answer:
B
Step-by-step explanation:
Answer:
C. 540
Step-by-step explanation:
A=2(wl+hl+hw)
You are asked to draw a triangle with side lengths of 10 inches, 7 inches, and 2 inches. How many triangles like this can you draw?
A- One
B- Three
C- Two
D- Zero
Bette has a life insurance policy that will pay her family $40,000 per year if
she dies. Bette's insurance company expects that it would have to put
$2,500,000 into a bank account so that it could make the payments. What
does Bette's insurance company expect the interest rate to be?
O A. 0.4%
O B. 2%
O C. 2.3%
O D. 1.6%
Divide the yearly payout by the amount in the bank:
40,000 / 2,500,000 = 0.016
Multiply by 100 to get the percentage:
0.016 x 100 = 1.6%
The answer is D. 1.6%
The insurance company expects an interest rate of 1.6% to provide the yearly payment of $40,000, calculated by dividing the annual payment by the principal amount deposited.
The student's question asks to calculate the interest rate expected by Bette's insurance company in order to provide a yearly payment of $40,000 to her family, given that the company needs to deposit $2,500,000 into a bank account.
To find the interest rate, we can use the formula for simple interest: Interest = Principal times Rate times Time. Since we are looking for the rate and are given the annual interest (the yearly payment) and the principal (the amount deposited), we can rearrange the formula to solve for the rate: Rate = Interest / Principal / Time. Here, Interest is $40,000, Principal is $2,500,000, and Time is 1 year.
Plugging in the values gives us: Rate = $40,000 / $2,500,000 / 1 = 0.016 or 1.6%. Therefore, the expected interest rate is 1.6%, which corresponds to option D.
(2/3)^4= please help thanks
Answer:
2/3 x 2/3 x 2/3 x 2/3 = 16/81
Then show decimal form = 0.19753086...
Step-by-step explanation:
Jane wants to share her pizza with two friends. She wants to make sure they all get the same amount. How should she cut the pizza?
Answer:
Into 1/3 pieces
Step-by-step explanation:
1/3 + 1/3 + 1/3 = 1 the whole pizza pie, yum
Answer:
Hello there the Correct answer is Jane should cut 2 equal pieces, as a diameter of a pizza.
Hope it helps!
From ItsNobody
Help please. Find the value of x in the isosceles triangle shown below
Answer:
A
Step-by-step explanation:
We need to use some properties of an isosceles triangle and the Pythagorean Theorem.
First, the vertical line down the middle of the triangle is the height, which means the angle is makes with the base is 90 degrees and it bisects the base. So, we have two right triangles, each with a height of 6 and with a base of 4/2 = 2.
We can now use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, a = 6 and b = 2 and x = c, so:
a² + b² = c²
6² + 2² = x²
x² = 36 + 4 = 40
x = √40
Thus, the answer is A.
Answer:
A
Step-by-step explanation:
This triangle contains two congruent right angle triangles
x² = 6² + 2²
x² = 36 + 4
x² = 40
x = sqrt(40)
x = 4sqrt(10)
What is the area of triangle MNO?
Answer:
30 [tex]ft^2[/tex]
Step-by-step explanation:
To find the area of a triangle, you must use the formula:
[tex]\frac{1}{2} bh[/tex]
The "[tex]b[/tex]," is the base (12), and the "[tex]h[/tex]," is the height (5).
Plug in the numbers accordingly:
[tex]\frac{1}{2} (12)(5)[/tex]
[tex]\frac{1}{2} (60)[/tex]
30
Water has a “bent” geometry. Which explanation does not explain why? Water’s oxygen has unbonded electron pairs that repel each other. Water can form hydrogen bonds. Electrons are evenly distributed in the water molecule.
Answer: c, electrons are eventlyg distributed in the water molecules.
Step-by-step explanation:
Answer:
its c on edge
Step-by-step explanation:
did the assignment
At McCain Middle School, approximately 10 out of every 14 students ride the bus to school each morning.McCain Middle School has 147 students.How many students can be expected to ride the bus to school?
Answer:
105
Step-by-step explanation:
set a ratio so
10/14=?/147
cross multiply
10*147=?*14
1470=14*?
divide 1470 by 14 and get 105
An
Step-by-step explanation:
Simplify x^2+ 5x + 4 over
x+4
Answer:
x+1
Step-by-step explanation:
Use the graph to estimate the solution of the system.
X+2y=5, -x+3y=6
Which integers is the x-value between? What is the x-value to the nearest tenth?
Which integers is the y-value between?
What is the y-value to the nearest tenth?
Answer:.
Step-by-step explanation: Answer:
1. 0 and 1
2. about 0.6
3. 2 and 3
4. about 2.2
For the graph the solution of the system, X+2y=5, -x+3y=6
1. The integer values of x in between -6 and 5 are (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4)
2. The x-value to the nearest tenth is 1
3. The integer values of y in between 0 and 3 are (1, 2)
4. The y-value to the nearest tenth is 2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
system of lines , X+2y=5, -x+3y=6
by plotting graph of it,
we get following conclusions,
Point of intersection is (0.6, 2.2)
1. both the lines are intersecting x axis at (-6, 0) & (5, 0)
So, integers will be (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4)
2. The coordinate of x is, 0.6
The x-value to the nearest tenth is 1
3. both the lines are intersecting y axis at (0, 2) & (0, 2.5)
So, integers will be ( 0, 1, 2)
4. The coordinate of y is, 2.2
The y-value to the nearest tenth is 2
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Question 3:
Point Q is
units from Point R.
Point R is
units from Point T.
Point T is
units from Point S.
Question 4:
What is the area of polygon QRSU?
square units.
Answer:
Point Q is 6 units from Point R.
Point R is 7 units from Point T.
Point T is 3 units from Point S.
The area of polygon QRSU is 42 square units.
Please mark my answer brainliest so I can move up to the next rank.
Step-by-step explanation:
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 489.84 yd. What is the surface area of the sphere? Use 3.14 for pi.
BRAINLIEST FOR FIRST CORRECT ANSWER!
NEED HELP ASAP!!!!
Answer:
The surface area of the sphere is about [tex]97,264.64 yd^{2}[/tex]
Step-by-step explanation:
Answer:
76,415.04
Step-by-step explanation:
2+2= ???
pleaae herp houme whork
Answer:
Goodness, hard question... I believe it is, uh 4?
2+2=4
for eg: if u buy 2 pencils and 2 erasers then,you have total 4 stationery items
hope it will help you
The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x). How does the graph of g(x) compare to the graph of f(x)? g(x) is stretched horizontally and reflected over the y-axis. g(x) is stretched horizontally and reflected over the x-axis. g(x) is compressed horizontally and reflected over the y-axis. g(x) is compressed horizontally and reflected over the x-axis.
The correct answer is: g(x) is compressed horizontally and reflected over the y-axis.
To understand how the graph of [tex]\( g(x) = f(-2x) \)[/tex] compares to the graph of the parent function [tex]\( f(x) = x^3 \)[/tex], we need to analyze the effects of the transformations applied to [tex]\( f(x) \)[/tex].
1. The transformation [tex]\( f(-x) \)[/tex] would reflect the graph of [tex]\( f(x) \)[/tex] over the y-axis. This is because for every point [tex]\( (x, y) \)[/tex] on the graph of [tex]\( f(x) \)[/tex], there will now be a corresponding point [tex]\( (-x, y) \)[/tex] on the graph of .
2. The transformation [tex]\( f(2x) \)[/tex] would compress the graph of [tex]\( f(x) \)[/tex] horizontally by a factor of 2. This is because for every point [tex]\( (x, y) \)[/tex] on the graph of [tex]\( f(x) \)[/tex], there will now be a corresponding point [tex]\( \left(\frac{x}{2}, y\right) \)[/tex] on the graph of [tex]\( f(2x) \)[/tex]. The x-values are halved, which means the graph is compressed along the x-axis.
Combining these two transformations, [tex]\( g(x) = f(-2x) \)[/tex] indicates that the graph of [tex]\( f(x) \)[/tex] is first compressed horizontally by a factor of 2 and then reflected over the y-axis.
Therefore, the graph of [tex]\( g(x) \)[/tex] is compressed horizontally and reflected over the y-axis when compared to the graph of the parent function [tex]\( f(x) \)[/tex].
What is the area of a rectangle with vertices (2, 3), (9, 3), (9, Negative 2), and (2, Negative 2)? square units
Answer:
Area of the rectangle = [tex]35\,\,units^2[/tex]
Step-by-step explanation:
Area of the Rectangle= Product of the two Unequal sides
Finding the two unequal sides of the rectangle using the distance formula:
For the coordinates:
A(2,3) B(9,3) C(9,-2) D(2,-2)
Using Distance formula:
AB=
[tex]=\sqrt{(9-2)^2+(3-3)^2} \\\\=\sqrt{7^2+0} \\\\=\sqrt{49}\\\\ =7\,\,units[/tex]
Similarly, BC= 5 units
Area of the rectangle is:
[tex]=7\times 5\\\\=35\,\,units^2[/tex]
Answer:
The answer is definitely 35
Felicia pays for $3000.00 in home repairs using a credit card with a 17% APR. She makes $200.00 monthly payments.
How much will she pay in interest and fees?
Answer:
262.96 Dollars is for interest
271.91 Dollars is the monthly charged price monthly with the interest included
3262.96 Dollars is the total cost with APR
A Pew Research Center poll asked independent random samples of working women and men how much they value job security. Of the 798 women, 702 said job security was very or extremely important, compared with 802 of the 940 men surveyed. Construct and interpret a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important
Final answer:
To construct a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important, calculate the sample proportions for women and men, calculate the standard error, calculate the margin of error, and calculate the lower and upper bounds of the confidence interval.
Explanation:
To construct a 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important, we can use the formula for calculating the confidence interval for a difference in proportions.
Calculate the sample proportions for women and men who consider job security very or extremely important. For women, this would be 702/798 = 0.8797, and for men, this would be 802/940 = 0.8532.Calculate the standard error using the formula: sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)), where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes. In this case, the standard error would be sqrt((0.8797 * (1 - 0.8797) / 798) + (0.8532 * (1 - 0.8532) / 940)).Calculate the margin of error using the formula: z * standard error, where z is the z-score for the desired confidence level. For a 95% confidence level, the z-score is 1.96. In this case, the margin of error would be 1.96 * standard error.Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error to the difference in sample proportions. In this case, the lower bound would be (0.8797 - 0.8532) - margin of error, and the upper bound would be (0.8797 - 0.8532) + margin of error.The resulting 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important would be interpreted as follows: We are 95% confident that the true difference in proportions lies between the lower and upper bounds calculated above. This means that there is a high likelihood that women place a higher value on job security compared to men, but there is still some uncertainty due to sampling variability.
We are 95% confident that the difference in the proportion of working women and men who consider job security very or extremely important is between -0.0043 and 0.0595. This indicates there is no statistically significant difference between the proportions at the 95% confidence level.
To construct a 95% confidence interval for the difference in the proportion of working women and men who consider job security very or extremely important, we will follow these steps:
1. Determine the sample proportions:
For women:
[tex]\[ \hat{p}_1 = \frac{702}{798} = 0.8797 \][/tex]
For men:
[tex]\[ \hat{p}_2 = \frac{802}{940} = 0.8521 \][/tex]
2. Calculate the difference in sample proportions:
[tex]\[ \hat{p}_1 - \hat{p}_2 = 0.8797 - 0.8521 = 0.0276 \][/tex]
3. Calculate the standard error (SE) for the difference in proportions:
[tex]\[ SE = \sqrt{\frac{\hat{p}_1 (1 - \hat{p}_1)}{n_1} + \frac{\hat{p}_2 (1 - \hat{p}_2)}{n_2}} \][/tex]
Plugging in the values:
[tex]\[ SE = \sqrt{\frac{0.8797 (1 - 0.8797)}{798} + \frac{0.8521 (1 - 0.8521)}{940}} \][/tex]
[tex]\[ SE = \sqrt{\frac{0.1059}{798} + \frac{0.1260}{940}} \][/tex]
[tex]\[ SE = \sqrt{0.0001327 + 0.0001340} \][/tex]
[tex]\[ SE = \sqrt{0.0002667} = 0.0163 \][/tex]
4. Determine the critical value (z*) for a 95% confidence interval:
The critical value for a 95% confidence interval (using a standard normal distribution) is approximately 1.96.
5. Calculate the margin of error (ME):
[tex]\[ ME = z^* \cdot SE = 1.96 \cdot 0.0163 = 0.0319 \][/tex]
6. Construct the confidence interval:
[tex]\[ \text{Lower limit} = (\hat{p}_1 - \hat{p}_2) - ME = 0.0276 - 0.0319 = -0.0043 \][/tex]
[tex]\[ \text{Upper limit} = (\hat{p}_1 - \hat{p}_2) + ME = 0.0276 + 0.0319 = 0.0595 \][/tex]
So, the 95% confidence interval for the difference in the proportion of all working women and men who consider job security very or extremely important is:
[tex]\[ -0.0043 \text{ to } 0.0595 \][/tex]
Interpretation:
We are 95% confident that the true difference in the proportion of all working women and men who consider job security very or extremely important is between -0.0043 and 0.0595. This interval includes 0, which suggests that there is no statistically significant difference between the proportions of women and men who value job security at the 95% confidence level.
Solve 65x = 20.
Round to the nearest ten-thousandth.
Answer: 0.3076
Step-by-step explanation:
Answer:
0.307
Step-by-step explanation:
To get rid of the 65, simply divide both sides of the equation by 65. Thus, rounded to the nearest ten-thousandth, x = 0.307.
The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work
Answer:
Length of each side 3/2 or 1.5 square units
Step-by-step explanation:
(4^2 − 12x + 9)
=(2x-3)(2x-3)
2x-3=0
2x=3
x=3/2
The length of each side of the square by factoring in the area expression completely is 3/2.
We have given that,
The area of a square is (4x^2 − 12x + 9) square units.
We have to determine the,
Determine the length of each side of the square by factoring in the area expression completely.
Length of each side 3/2 or 1.5 square units
(4^2 − 12x + 9)
=(2x-3)(2x-3)
2x-3=0
2x=3
x=3/2
The length of each side of the square by factoring in the area expression completely is 3/2.
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Please help I am stuck
HELLLPPP ME QUICKKKKK What do the following four equations have in common: -4x - 18 = 27,
1/2g + 14 = 13, -36 = 3/4n, and -3/7y - 9 = 11
A. All of the solutions are positive. B. All of the solutions are negative.
C. All of the solutions are odd numbers. D. All of the solutions are even numbers
Answer:
A
Step-by-step explanation:
i did the questions already
Find the volume of the regular hexagonal prism with side lengths of 4 ft, height of 3ft and apothem of approximately 3.5 ft
Answer:
A(p) = 84 ft³
Step-by-step explanation:
Volume of regular prism is equal to V(p):
V(p) = Area of the face * h
we know h = 3 ft
A regular hexagonal prism has 6 equal sides forming its face.
Finding the area (A₂) of a triangle formed by center of the prism, straight lines between the center and two adjacents vertex and side between these two vertex, and then multiply that area by 6 (number of equal triangles inside hexagonal prism) we get the area of the face, but we need further consideration, the triangle described above, has doble area of (A₁), the triangle formed by apothem, half side, and straight line between center of the face and the vertex, therefore.
Area of small triangle = base * height
A₁ = (1/2) * 4 * 3,5
A₁ = 2*3,5
A₁ = 7 ft²
A₂ = 2* 7
A₂ = 14 ft²
Finally volume of the hexagonal prism is:
V(p) = 6 * 14
A(p) = 84 ft³
Brian has a piece of yarn that 4 centimeters long how many millimeters long is his piece of yarn
Answer:
40mm.
there are 10 mm. in a cm, so if there are 4 cm, then there are 40 mm.
Hope this helps :)
The ratio of red fish to yellow fish in the pond is 2:3. If there are 24 yellow fish, how many red fish are in the pond?
Answer:
16
Step-by-step explanation:
Since there are 24 yellow fish and the ratio of the yellow fish to the red fish is 3:2. Then we know that 24/3=8. This means that 1 is equal to 8 fish. Since there are 2 ones for the red fish, we times 8 by 2 to get 16.
Please help me in these simple equations
Answer:
1. [tex]225cm^2[/tex]
2. [tex]544mm^2[/tex]
3. [tex]405mm^2[/tex]
4. [tex]67.50cm^2[/tex]
5. [tex]495mm^2[/tex]
6. [tex]480cm^2[/tex]
Step-by-step explanation:
1. Square
[tex]A=s^2[/tex]
s = 15 cm
[tex]A=(15cm)^2\\A=225cm^2[/tex]
------------------------------------------------------------------------------
2. Rectangle
[tex]A=l*w\\A=(32mm)(17mm)\\A=544mm^2[/tex]
------------------------------------------------------------------------------
3. Rectangle
[tex]A=l*w\\A=(45mm)(9mm)\\A=405mm^2[/tex]
------------------------------------------------------------------------------
4. Triangle
[tex]A=\frac{hb}{2}\\ A=\frac{(9cm)(15cm)}{2}\\ A=\frac{135cm^2}{2}\\ A=67.50cm^2[/tex]
------------------------------------------------------------------------------
5. Triangle
[tex]A=\frac{hb}{2}\\ A=\frac{(30mm)(33mm)}{2}\\ A=\frac{990mm^2}{2}\\ A=495mm^2[/tex]
------------------------------------------------------------------------------
6. Rectangle
[tex]A=l*w\\A=(34cm)(20cm)\\A=480cm^2[/tex]
What is the distance between –3 and 2 on the number line? A number line going from negative 5 to positive 5. –5 –1 1 5
Answer:
The distance is 5.
Step-by-step explanation:
As you want distance, the best approach is to subtract.
My advice when you're dealing with a number line, and a negative and a positive number, is to subtract the negative from the positive, so that you get a positive distance.
Therefore:
[tex]2 - ( - 3) = 2 + 3 = 5[/tex]
What is the inverse function of dx) = 2x - 4?
Answer:
y = x/2 + 2
Step-by-step explanation:
y = 2x - 4
swap y and x
x = 2y - 4
x + 4 = 2y
x/2 + 2 = y
Answer:
d(x) = 1/2x + 2 or d(x) = (x + 4)/2
Step-by-step explanation:
y = 2x - 4
y + 4 = 2x
(y + 4)/2 = x
y = (x + 4)/2 or y = 1/2x + 2
What is the slope of the line defined by the equation y = -2x + 3?
A)
-2
B)
- 2 / 2
2
D
3
Answer:
The answer is -2
Step-by-step explanation:
The slope is m.
In an equation, it's shown as y=mx+b, where m is the slope and b is the y intercept.