9514 1404 393
Answer:
area = 2w² -6w
Step-by-step explanation:
For width w, the length is ...
L = 2w -6
and the area is ...
A = LW = (2w -6)(w) = 2w² -6w . . . area of the rectangle
Solve the system.
9x2 + 4(y - 2)2 = 36
x² = 2y
Answer:
[tex]x =2[/tex]
[tex]y =2[/tex]
Step-by-step explanation:
Given
[tex]9x^2 + 4(y - 2)^2 = 36[/tex]
[tex]x^2 = 2y[/tex]
Required
Solve
Substitute: [tex]x^2 = 2y[/tex] in [tex]9x^2 + 4(y - 2)^2 = 36[/tex]
[tex]9*2y + 4(y-2)^2 = 36[/tex]
[tex]18y + 4(y-2)^2 = 36[/tex]
Open bracket
[tex]18y + 4[y^2-2y - 2y + 4] = 36[/tex]
[tex]18y + 4[y^2-4y + 4] = 36[/tex]
Open bracket
[tex]18y + 4y^2-16y + 16 = 36[/tex]
Collect like terms
[tex]4y^2+18y-16y + 16 - 36 = 0[/tex]
[tex]4y^2+2y-20= 0[/tex]
Divide through by 2
[tex]2y^2+y-10= 0[/tex]
Expand
[tex]2y^2+5y - 4y-10= 0[/tex]
Factorize
[tex]y(2y + 5) - 2(2y + 5) = 0[/tex]
Factor out 2y + 5
[tex](y -2)(2y + 5) = 0[/tex]
Split
[tex]y - 2 =0\ or\ 2y + 5 = 0[/tex]
Solve for y
[tex]y =2 \ or\y = -\frac{5}{2}[/tex]
We have:
[tex]x^2 = 2y[/tex]
Make x the subject
[tex]x = \sqrt{2y[/tex]
The above is true for positive y values.
So: [tex]y =2[/tex]
This gives
[tex]x = \sqrt{2*2[/tex]
[tex]x = \sqrt{4[/tex]
[tex]x =2[/tex]
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 3, 5,7
Answer:
3, 12, 48 ... =
3(4)^0, 3(4)^1, 3(4)^2 ... =
3(1), 3(4), 3(16) ....
3, 12, 48 ...
it's geometric with common ratio of 4. each term is 4 times the prior termStep-by-step explanation:

A science teacher is preparing test tubes for an experiment.
She places 0.69 g of baking soda into each test tube. What is
the greatest number of test tubes the teacher can prepare for
the experiment if she has 41.4 g of baking soda
Answer: 60 test tubes
Step-by-step explanation: 41.4/60 = 0.69
a) Find the slope, x-intercept, y-intercept of the line (L):
3x+4y-6= 0 and draw its graphs.
b) Find the equation of a line perpendicular to the line (L) in part (a) and
passing through the point (1, -2).
Answer: 2, 1.5 , -0.75
(b) [tex]4x-3y-10=0[/tex]
Step-by-step explanation:
Given
line is [tex]3x+4y-6=0[/tex]
Converting it into intercept form
[tex]\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1[/tex]
So, the x-intercept is [tex]2[/tex] and y-intercept is [tex]1.5[/tex]
The slope is given by
[tex]-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75[/tex]
(b) the line perpendicular to the above line and passing through [tex](1,-2)[/tex]
The slope of the required line
[tex]m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}[/tex]
Equation of the line is given by
[tex]\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0[/tex]
Can some one please help me find the solution of the question
Answer:
x=16°
Step-by-step explanation:
tanθ=opposite/adjacent
tan(<CAB)=BC/AB
<CAB=tan⁻¹(21/29)=35.9097308°
tanθ=opposite/adjacent
tan(<DAB)=BD/AB
<DAB=tan⁻¹((21/2)/29)=19.90374954°
<CAB=<DAB+x
x=<CAB-<DAB
=35.9097308-19.90374954
x=16.00598126°
Consider the following graph of f(x) what are the zeros
Answer:
Step-by-step explanation:
The zeroes of a function is where its graph intercepts the x axis:
in this case it happens in these points:
(-6;0) , (-4;0) , (0;0) , (2;0) , (4;0)
pls help help help help
Answer:
1 and 1/6
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
Transfer 1/3 to 2/6 and add it with 5/6
Use the Distributive Property to evaluate (6+4)(-12) *
Answer:
Step-by-step explanation:
So first we distribute -12 to 6 making that -72 then we distribute the -12 to the 4 making that -48.
So we have -72+-48 = -72 - 48 = -120
It is important to know that the answer is not -120 (10)(-12) = -120
because that is not the distributive property.
Hope this helps
:)
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year? If you leave this money in the account, how much will be in your account after 2 years?
Answer:
I only know the first question, If you leave that money for 1 year it would equal $480 basically, $300 x 1.6 = $480.
Step-by-step explanation:
The required amount in your account after 2 years will be $337.08.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
If you deposit $300 in an account with a 6% interest rate, the amount in your account after 1 year can be calculated as follows:
Find the interest earned after one year:
Interest earned = (6/100) x 300 = $18
Add the interest earned to the original amount:
Total amount after 1 year = $300 + $18 = $318
Therefore, the amount in your account after 1 year will be $318.
If you leave this money in the account for another year, the amount in your account after 2 years can be calculated as follows:
Find the interest earned after two years:
Interest earned in year 1 = $18
Interest earned in year 2 = (6/100) x $318 = $19.08
Add the interest earned to the original amount and the interest earned in year 1:
Total amount after 2 years = $300 + $18 + $19.08 = $337.08
Therefore, the amount in your account after 2 years will be $337.08.
Learn more about compound interest here: https://brainly.com/question/14295570
#SPJ7
Hi, can someone help me with this question?
Answer:
Soln
At first find the total area of figure then decrease the area with shaded region.
You can get answers.
find the Total surface area of given figure)
nuem
1
20cm 24cm 14cm
Answer:
where is the figure? to calculate the surface area
A manufacturer that specializes in hamburgers made 200 hamburger patties. The manufacturer claims that the weights of these patties are approximately normally distributed with a mean of 8 ounces and a standard deviation of 0.54 ounces. You go to a store and buy 5 randomly selected hamburgers and find that the mean weight of your 5 hamburgers is only 7.6 ounces.
Answer:
The answer is "Parameter: 8 ounces and Statistics: 7.6 ounces"
Step-by-step
Amount of restaurant hamburger packers = 200
Mean weight of its patties = 8 ounces
Specification Patty Deviation=0.54 ounces
Those who went to the supermarket and bought five hamburgers picked randomly.
The important weight of hamburgers = 7.6 ounces
For this case, we need to classify the sample population and test statistics.
The group comprises all elements that may probably be predefined, while a small number of findings from this wider group are taken from either the sample. The restaurants achieved a list of 200 hamburgers. Consequently, the population is made up of 200 patties. From 200 hamburgers accessible, I visit the shop or pick 5 hamburgers. So, five hamburgers arbitrarily selected are samples.
parameters:
The parameter is known for just about any value or metric representing or reflecting the entire nation. They know from the information that the average weight of 200 burger patties is eight pounds. Because as mean(center) of a whole population is 8 ounces, this is a parameter.
Statistics:
The statistic is any quality or measure defining or representing its specimen. We purchased 5 randomly selected hamburgers, which meant 7.6 ounces for mean weight. 7.6 is a statistic, thus.
Which combination of shapes can be used to create the 3-D figure?
a 3D figure with bases that are congruent regular polygons with 8 sides that are connected by congruent polygons which have a length greater than their width
Two regular octagons and eight congruent rectangles
Two regular pentagons and five congruent squares
Two regular octagons and eight congruent squares
Two regular pentagons and five congruent rectangles
A 3-D figure is a shape that its three surfaces can be observed at the same time. Therefore, required answer to the given question is: A. Two regular octagons and eight congruent rectangles.
When the length, width and height of a given shape can be observed at the same time, then its is said to be in a 3-D. However, polygons are shapes which has 3 or mores sides. Examples are: trigon, hexagon, octagon etc.
Thus, since the 3-D figure required in the question has two bases in the shape of regular octagon, which should have 8 sides connected by congruent polygons of length greater than their width.
This implies that the sides of the figure must be made up of eight congruent rectangles, because the 3-D figure has eight regular sides (which would be the width of the rectangles). Then, the height of the figure would be the length of the rectangles.
So, the correct option to the given question is A. Two regular octagons and eight congruent rectangles.
A sketch is attached to this answer for more clarifications.
For reference: https://brainly.com/question/12504553
Answer:
Two regular octagons and eight congruent rectangles
Step-by-step explanation:
Based on the picture in my test, I am positive the description and the picture are of the same thing. In the picture, I can see eight congruent rectangles and two octagons. I also got this right on my test.
picture of object:
. (0.5 point) We simulate the operations of a call center that opens from 8am to 6pm for 20 days. The daily average call waiting times are reported below for these 20 simulated days: 24.16 20.17 14.60 19.79 20.02 14.60 21.84 21.45 16.23 19.60 17.64 16.53 17.93 22.81 18.05 16.36 15.16 19.24 18.84 20.77 Due to a budget cut, the call center has now to downsize and the simulation model is used to predict the effect. We again simulate the call center for 20 days and now the daily average call waiting times are: 19.81 18.39 24.34 22.63 20.20 23.35 16.21 21.73 17.18 18.98 19.35 18.41 20.57 13.00 17.25 21.32 23.29 22.09 12.88 19.27 Compute a 95% t-confidence interval to decide if the change in the call waiting time is statistically significant.
Answer:
The 95% t-confidence interval for the difference in mean is approximately (-2.61, 1.16), therefore, there is not enough statistical evidence to show that there is a change in waiting time, therefore;
The change in the call waiting time is not statistically significant
Step-by-step explanation:
The given call waiting times are;
24.16, 20.17, 14.60, 19.79, 20.02, 14.60, 21.84, 21.45, 16.23, 19.60, 17.64, 16.53, 17.93, 22.81, 18.05, 16.36, 15.16, 19.24, 18.84, 20.77
19.81, 18.39, 24.34, 22.63, 20.20, 23.35, 16.21, 21.73, 17.18, 18.98, 19.35, 18.41, 20.57, 13.00, 17.25, 21.32, 23.29, 22.09, 12.88, 19.27
From the data we have;
The mean waiting time before the downsize, [tex]\overline x_1[/tex] = 18.7895
The mean waiting time before the downsize, s₁ = 2.705152
The sample size for the before the downsize, n₁ = 20
The mean waiting time after the downsize, [tex]\overline x_2[/tex] = 19.5125
The mean waiting time after the downsize, s₂ = 3.155945
The sample size for the after the downsize, n₂ = 20
The degrees of freedom, df = n₁ + n₂ - 2 = 20 + 20 - 2 = 38
df = 38
At 95% significance level, using a graphing calculator, we have; [tex]t_{\alpha /2}[/tex] = ±2.026192
The t-confidence interval is given as follows;
[tex]\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]
Therefore;
[tex]\left (18.7895- 19.5152 \right )\pm 2.026192 \times \sqrt{\dfrac{2.705152^{2}}{20}+\dfrac{3.155945^2}{20}}[/tex]
(18.7895 - 19.5125) - 2.026192*(2.705152²/20 + 3.155945²/20)^(0.5)
The 95% CI = -2.6063 < μ₂ - μ₁ < 1.16025996668
By approximation, we have;
The 95% CI = -2.61 < μ₂ - μ₁ < 1.16
Given that the 95% confidence interval ranges from a positive to a negative value, we are 95% sure that the confidence interval includes '0', therefore, there is sufficient evidence that there is no difference between the two means, and the change in call waiting time is not statistically significant.
Rachel cut a whole banana into 6 pieces and then ate all the pieces. She put a point on a number line to show how much she ate.
0
Which fraction is equal to the point shown on the number line?
Mandy and Randy are each playing with a beach ball. Mandy's ball has a diameter of 12 inches. Randy's ball has a diameter that is twice as large as Mandy's ball. How much larger is the volume of Randy's ball? Show and explain your reasoning.
Answer:
Randy's ball is 904.78 larger than Mandy's.
Step-by-step explanation:
Using math, we find that Mandy's ball is 904.78 inches in volume and if Randy's is twice the size that's, 904.78 x 2 = 1809.56. so Randy's ball is 904.78 larger than Mandy's
please please i neeed help
Answer:
i have made it in above picture
hope it helps
A yogurt costs 35p.
How many yogurts can be bought for three pounds?
Answer:
8 yogurts or it will be 1 yogurt
Step-by-step explanation:
Since practically you cannot purchase "0.57" parts of one yogurt 3 pounds (300 p) would allow you to purchase only 8 yogurts...
please help and explain how you got the answer:)
using cos to get x
cos -1 of 13/20
= 49.45
then y = 40.54° using sin y= opp /hyp =13\15
then the sin-1 of 13/20 =40.54 •
Miss Lin bought 40 raisin, butter and curry buns for a class party. The ratio
of the number of raisin buns to the number of butter buns to the number of
curry buns was 7:5:8. Find the number of curry buns Miss Lin bought.
Answer:
Number of curry buns is 16.
Step-by-step explanation:
Total number of buns =40.
Ratio of number of raisin buns to the number of butter buns to the number of curry buns = 7:5:8
Let number of raisin buns = 7X.
Let number of butter buns =5X.
Let number of curry buns = 8X.
Therefore,
7X+5X+8X = 40
20X = 40
X= (40/20) = 2.
Therefore number of curry buns =8X = 8×2 =16.
Name two pairs of adjacent angles and two pairs of vertical
angles in the figure.
Answer:
1. adjacent: ∠ACB and ∠BCD.
vertical: ∠ACB and ∠ECDStep-by-step explanation:
help me plissssss. “
Answer:
letter A because it's representing 100% plus some so it is increasing.
Help plz need to pass
Answer:
The answer would be 792
Step-by-step explanation:
Lateral surface area for this objects formula is 2lh + 2lb because of its rectangular prism shape.
What is 28% of 250 Takis?
Answer:
28% of 250 is 70
Step-by-step explanation:
If you turn 28% into a decimal it will turn into 0.28 so then multiply that by 250 and you'll get 70
The answer is 70.......
ab" that goes through points (0,9)
Write an exponential function in the form y
and (5,2187)
9514 1404 393
Answer:
y = 9(3^x)
Step-by-step explanation:
We assume you want a function in the form ...
y = a(b^x)
that passes through points (0, 9) and (5, 2187).
Filling in the given point values, we have ...
9 = a(b^0) = a
2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'
Dividing the second equation by 9 and taking the 5th root, we find b.
(2187/9) = b^5
243^(1/5) = b = 3
The exponential function is ...
y = 9(3^x)
1
When rolling two number cubes, what is the probability of rolling at least one 6?
А
12
36
С
6
36
B
11
36
D
1
36
Answer:
The answer is D.
The volume of a cylinder is 1761 square
centimeters and the height is 11
centimeters. Find the radius.
Answer:
7.14cm
Step-by-step explanation:
Help me guyssssss skeks
Answer:
19
Step-by-step explanation:
|-8 -11|=19
Answer:
3
Step-by-step explanation:
when you have 2 negitives it makes a positive which cancelles it out and it equals 3
Tina has eight packs of paper each of her packs contain 50 sheets. Caz has three packs of paper each of his packs contain 125 sheets. Juan has 350 sheets of paper which statement is true
Answer:
i think the question is incomplete but
Tina at an average contains each package of
50 sheets ÷ 8 pack
6.205 of sheet in each pack
125 sheets ÷ 3 packs
caz contain at average 41.60 sheet average
but where the juan packs of paper that's why question is incomplete
what is x • x³
[tex]x \times x ^{3} [/tex]
Answer:
x^4
Step-by-step explanation:
any variable when multiplied by the same variable will result in the exponent to increase.