Answer:
slightly confused on the wording if he got back 3/4 from 16.5 then he earned back 12.375 points
if -16.5 is the 1/4 he didnt get back then he had 66 points
Step-by-step explanation:
PLEASE HELP PLEASE PLEASE HELP
Reason:
Choices A through C all result in 8/3 = 2.667 approximately
In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.
Find the surface area.
9 in
7 in
16 in
In this question we are provided with the length breadth and height and we are asked to find the surface area of the figure.
[tex] \small\bf{ Length = 16 \: inches } \\ \small\bf{Breadth = 7 \: inches} \\ \small\bf{Height = \: 9 \: inches} [/tex]
We know,
[tex] \pink\star \: \large\boxed{ \pink{ \rm{ Surface \: area = 2(lb + bh + hl)}}}[/tex]
Substituting the values we get
Surface area = 2(16 × 7 + 7 × 9 + 9 × 16)
= 2(112 + 63 + 144)
= 2(319)
= 638
Surface area = 638 inches².
Hey !
Question :Find the surface area of cuboid .
Given :Length of Cuboid = 16 inchesBreadth of Cuboid = 7 inchesHeight of Cuboid = 9 inchesTo Find :We have to find the surface area of given cuboid .Concept :The concept of this question belongs to surface areas of different three dimensional shapes . Whether they are cuboid , cube , cylinder , cone and many more .
Formula Used :[tex] \boxed{\sf{ \pink{Surface \: Area \: of \: cuboid=} \pink{2(lw + wh + hl)}}}[/tex]
Where ,
l = length height of cuboidw = width height of cuboidh = height of cuboidSo Starting Our Solution :Substituting value in formula ,
[tex] \longmapsto \: 2 ((16 \times 7) + (7 \times 9) + 9 \times 16)[/tex]
Now ,
[tex] \longmapsto \: 2(112 + 63 + 144)[/tex]
Adding the values which are inside bracket ,
[tex] \longmapsto \: 2(319)[/tex]
Now multiplying 319 by 2 ,
[tex] \longmapsto \: \bold{ 638 \: inches {}^{2} }[/tex]
Therefore ,
[tex] \boxed{ \sf \pink{Surface \: area \: of cuboid = 638 \: in {}^{2} }}[/tex]
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#[tex] \rm{Keep \: Learning}[/tex]the vertex of this parabola is at (4, -3). when the x-value is 5, the y-value is -6. what is the coefficient of the squared expression in the parabola's equation?*sorry edited now
Answer:
- 3
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (4, - 3 ) , then
y = a(x - 4)² - 3
to find a substitute x = 5, y = - 6 into the equation
- 6 = a(5 - 4)² - 3 ( add 3 to both sides )
- 3 = a(1)² = a
y = - 3(x - 4)² - 3 ← expand factor using FOIL
y = - 3(x² - 8x + 16) - 3
= - 3x² + 24x - 48 - 3
= - 3x² - 24x - 51 ← in standard form
coefficient of the x² term is - 3
The expression cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5 can be rewritten as which of the following?
cosine of 7 times pi over 10
cosine of 3 times pi over 10
sine of 7 times pi over 10
sine of 3 times pi over 10
(The clear version of the question is in the picture below)
Answer:
(b) cos(3π/10)
Step-by-step explanation:
The given expression matches the trig identity form for the cosine of the difference of two angles:
cos(α-β) = cos(α)cos(β) +sin(α)sin(β)
__
To match the given expression exactly, we can choose ...
α = π/2
β = π/5
Then the difference is ...
α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10
The given expression can be shortened to ...
cos(3π/10)
__
Additional comment
Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.
4. Sarah moved 530,000 of her savings to a new investment account that earns 4% interest compounded quarterty. Write a function to model this situation, then find the amount of interest the account will earn after 12 years.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$530000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=530000\left(1+\frac{0.04}{4}\right)^{4\cdot t}\implies A=530000(1.01)^{4t} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{after 12 years}}{t=12}\implies A=530000(1.01)^{4(12)}\implies A=530000(1.01)^{48} \\\\\\ A\approx 854479.82~\hfill \underset{\textit{interest in the account}}{\stackrel{854479.82~~ - ~~530000}{\approx 324479.82}}[/tex]
Identify the indicated angles as Adjacent, vertical, linear, or complimentary
it takes 1 1/2 hours to fill 1/2 of a tank how long will it take to fill 2 tanks completely
Answer:
15
Step-by-step explanation:
hope this helps
In preparation for an earnings report, a large retailer wants to estimate p= the proportion of annual sales
that occur during the month of December. A SRS of sales from last year revealed that 37 of
the randomly selected sales occurred during the month December out of 161 sales.
Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The sample size and the estimate are given by:
[tex]n = 161, \pi = \frac{37}{161} = 0.2298[/tex]
Hence:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948[/tex]
The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
More can be learned about the z-distribution at https://brainly.com/question/25890103
1 3/5 gallons of gasoline were used to drive 25 1/2 miles. How many miles per gallons did the car get?
Answer:
15.9375
Step-by-step explanation:
Just divide the number of miles over the number of gallons.
Find the volume of the oblique rectangular prism below. Round your answer to the
nearest tenth if
necessary.
1100
1115
1120
1135
Answer:
1100 units³
First calculate the Base Area:
parallelogram area:
Base * Height
11 * 10
110 units²
Volume:
Base Area * Length
110 * 10
1100 units³
Answer:
volume = 1100 cm³
Step-by-step explanation:
[tex]\textsf{Volume of an oblique rectangular prism}=l \cdot w \cdot h[/tex]
where:
[tex]l[/tex] is the base length[tex]w[/tex] is the base width[tex]h[/tex] is the height perpendicular to the baseGiven:
[tex]l[/tex] = 11 cm[tex]w[/tex] = 10 cm[tex]h[/tex] = 10 cmSubstituting the given values into the formula:
[tex]\implies \textsf{Volume}=11 \cdot 10 \cdot 10 = 1100\: \sf cm^3[/tex]
Which of the following is the estimated amount of salt that will dissolve at 47 degrees?
30.74
142.06
24.72
35.08
Ths solubility curve can be used to obtain the amount of salt dissolved (solubility).
What is the solubility curve?The solubility curve is a plot of the solubility of a substance against the temperature. It serves the purpose of being used to show the solubility of a susbtance at different temperatures. This question is incomplete hence we can not be able to deduce the solubility of the salt at this temperature.
If the solubility curve has been ploted, then we can be able to estimate the solubility of the salt from the graph.
Learn more about solubility curve: https://brainly.com/question/9537462
Shortly after their arrival, Europeans began introducing pigs to the Americas as a source of food. Some escaped, and others were intentionally released into the wild,
where they thrived. Assume that the wild pig population is modeled by the
formula P = P0•(1.2)^t .If there were five million wild pigs in 2010 (no one really knows the exact number), what was the population of wild pigs in 2000?
Answer: About 800 thousand
The more accurate value is 807,528 but this is also an approximation.
=======================================================
Work Shown:
[tex]t = \text{number of years since the year 2000}[/tex]
[tex]P_0 = \text{population (in millions) in the year 2000}[/tex]
[tex]P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\[/tex]
That's the rough population of wild pigs (in millions) for the year 2000.
Multiply by [tex]10^6[/tex] to get it in terms of units instead.
[tex]0.807528\times10^6 = 807,528[/tex]
There were roughly 800 thousand wild pigs in the year 2000.
consecutive integers differ by, such as 15 and
Answer:
integers are not fractions so there you go
need help really please someone
Answer:
2 5/7
Step-by-step explanation:
First we need to make the 4 2/7 top heavy so it is easier to subtract :)
4 2/7 = 3 9/7
Now we can subtract :)
3 9/7 - 1 4/7 = 2 5/7
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
The answer is 2 5/7
Step-by-step explanation:
My neighbor does not understand how to find the length and area of his backyard because it is an unusual shape. In 2-3 sentences explain how you would help him solve his problem. Remember to use Math Vocabulary in your explanation.
He can find the area of the individual shapes the backyard is made up of, then take the sum.
Area of composite figureA composite figure is made up of different shapes and hence their area might be difficult to determine.
In order to determine the area of such a complex shape, the area of the individual shapes is first determined and then sum up. The sum of their areas will give the area of the composite figure
For your neighbour, he can find the area of the individual shapes the backyard is made up of, then take the sum.
Learn more on area of composite figure here: https://brainly.com/question/21135654
8. An angle that contains 126° 32' is a/an Angle
angle.
A. straight
B. obtuse
C. right
D. acute
Answer:
B.
Step-by-step explanation:
A straight angle is exactly 180°
An Obtuse angle is more than 90°, but less than 180.
A right angle is 90°
An acute angle is less than 90°
The perimeters of two similar right triangles have a ratio of 3 to 5. If the height of the larger triangle is 12 meters, what is the height of the
smaller triangle?
Answer:
7.2 meters
Step-by-step explanation:
Similar triangles have linear dimensions that are proportional. The ratio of heights will be the same as the ratio of permeters:
h/(12 m) = 3/5 . . . . . . . small/large
h = (3/5)(12 m) = 7.2 m . . . . . . multiply by 12 m
The height of the smaller triangle is 7.2 meters.
1. Solve 2(x + 1)^2 = 18. What are the x-intercepts?
Answer:
The x-intercepts are [tex](2,0)[/tex] and [tex](-4,0)[/tex].
Step-by-step explanation:
We are given the equation
[tex]2(x+1)^2=18[/tex]
Begin by dividing both sides of the equation by 2:
[tex](x+1)^2=9[/tex]
Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:
[tex]x+1=\pm3[/tex]
Split the equation into two based on the two solutions:
[tex]x+1=-3[/tex]
[tex]x+1=3[/tex]
Solve each equation by subtracting 1 from both sides:
[tex]x=-4\\ x=2[/tex]
Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).
PLEASE ANSWER QUICKLY AS POSSIBLE WILL GIVE BRAINLYEST TO FIRST CORRECT
Find the exact value of x.
x=
Question 2
Do the side lengths form a Pythagorean triple?
Answer:
Soln:
Step-by-step explanation:
Here,
Base(b) =9
Opposite/Perpendicular (p)= x
Hypotenus (h) = 24
We know,
(p)^2 = (h)^2 - (b)^2
(x)^2 = (24)^2 - (9)^2
x^2 = 576 - 81
x^2 = 495
x = root under 495
Answer:
1- 22.2486 2- No
Step-by-step explanation:
1:
[tex]b = \sqrt{ c^{2}- a^{2}[/tex]
C is the hypotenuse, or longest side of the triangle (24).
A is the one length we have besides the hypotenuse(9).
[tex]b = \sqrt{ 24^{2}- 9^{2}[/tex]
b = 22.2486
2:
No, because if it was a Pythagorean triple, it would follow the equation [tex]a^{2} +b^{2} =c^{2}[/tex].
[tex]9^{2} + 22.2485^{2} \neq 24^{2}[/tex].
In the data set below, what are the lower quartile, the median, and the upper quartile?
The median, upper and lower quartiles of the data set are:
Lower Quartile = 46
Median = 49
Upper Quartile = 90
What is the Median?The center value or middle value of a data set is the median.
What are the Upper and Lower Quartiles?Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Order the data set given as:
32, 46, 49, 49, 77, 90, 96
Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46
Median = 32, 46, 49, (49,) 77, 90, 96 = 49
Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90
Learn more about the Median, Upper and Lower Quartiles on:
https://brainly.com/question/15572643
Find the future value of an ordinary annuity of sh.25,000 at a compunding rate of 7% p.a. after 9 years?
Answer:
sh.299,449.72
Step-by-step explanation:
The future value of an ordinary annuity with annual payments P earning interest rate r compounded annually for t years is ...
FV = P((1+r)^t -1)/r
For the given numbers, the future value is ...
FV = sh.25000(1.07^9 -1)/0.07 ≈ sh.299,449.72
Solve the following quadratic equation by factorin
x - 12x + 35 = 0
2
x? -
The solution set is {}.
(Simplify your answer. Type each solution only
Answer:
(x - 5)(x - 7x)
Step-by-step explanation:
x - 12x + 35 = 0
x - 12x + 35 = 0
x - 5x - 7x + 35= 0
x ( x - 5) -7x(x + 5)
(x - 5)(x - 7x)
Kim has a cube that is 1 unit long, 1 unit wide, and 1 unit high. What is the
volume of Kim's cube?
Answer:
Volume of cube is width times length times height. So it's simply 1 unit × 1 unit × 1 unit = 1 unit³. Final answer: 1 unit³ (or 1 cubed unit).
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
multiply the length, width, and the height for the answer
is this is right please make it brainlyest!
What is the surface area of this right prism?
600 in²
720 in²
840 in²
1440 in²
Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is an isosceles triangle with legs labeled 13 in., 13 in., and 24 in. The height of the triangle is perpendicular to the side labeled 24 in. and is labeled 5 in.
The surface area of the right prism with an isosceles triangle base is 720 inches squared.
Surface area of a triangular prismsurface area = bh + l(x + y + z)
where
b = base of triangle.h = height of triangle.l = height of the prism.x, y and z are the side of the triangle.Therefore,
b = 24 inches
h = 5 inches
x = 13 inches
y = 13 inches
z = 24 inches
l = 12 inches
Surface area = 24 × 5 + 12(13 + 13 + 24)
Surface area = 120 + 12(50)
Surface area = 120 + 600
Surface area = 720 inches²
learn more on surface area here: https://brainly.com/question/2835293
How to sketch this graph?
Answer:
get a book from shop and draw with ruler and write the numbers too
i have attached the question for you
Answer:
s = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
s = ut + [tex]\frac{1}{2}[/tex] at² ( substitute the given values into the equation )
s = ( 3 × [tex]\frac{1}{3}[/tex] ) + ( [tex]\frac{1}{2}[/tex] × - 12 × ([tex]\frac{1}{3}[/tex] )² )
= 1 + (- 6 × [tex]\frac{1}{9}[/tex] )
= 1 + ( - [tex]\frac{2}{3}[/tex] )
= 1 - [tex]\frac{2}{3}[/tex]
= [tex]\frac{1}{3}[/tex]
Answer:
[tex] \hookrightarrow \: u = 3 || \: a = - 12 \: || t = \frac{1}{3} \\ \hookrightarrow \: s = ut + \frac{1}{2} a {t}^{2} \\ \hookrightarrow \: s =3 \times \frac{1}{3} + \frac{1}{2} \times - 12 \times (\frac{1}{3} )^{2} \\ \hookrightarrow \: s =1 - \frac{2}{3} \\ \hookrightarrow \: s = \frac{1}{3} [/tex]
Which net represents this solid figure?
Answer: TThere is no picture
Step-by-step explanation:
For which values of x is the expression undefined x-8/x-5
Answer:
(x+10 (3x-45) is the answer of the question so easy
Answer:
x = 5
Step-by-step explanation:
Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0
x - 5 = 0
x = 5
I hope this helps!
Emily is 4 years Jacob's junior. Eight years ago. she was half Jacob's age. How old are they?
Answer:
Emily is now 12.
Jacob is now 16.
Step-by-step explanation:
since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.
eight yrs ago: Emily is ( x-4-8) = ( x - 12)
Jacob is ( x - 8)
Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)
2( x - 12) = x - 8
2x - 24 = x - 8............ Bring the like terms together and solve for x
x = 16, which is Jacob's current age
Emily ( x - 4) = 12 yrs
Please solve the whole page
Answer:
1. 3/20
2. 76/4
3. 16
4. 1/8
5. 11/1
6. 2.5/1
7. 13/1
8. 255/1
9. 20, 140, 240
10. 3.5, 17.5, 31.5
11. 12
12. 2