Answer:
4%
Step-by-step explanation:
The interest earned on the investment is the difference between the end-of-year value and the initial value:
$83.20 -80 = $3.20 . . . . simple interest per year
__
The interest rate is the ratio of this to the initial investment:
$3.20/$80.00 = 0.04 = 4% . . . . . simple interest rate per year
The diagram shows the locations of the sun, Earth, and the moon. Which of these is possible only when the sun, Earth, and the moon are aligned as shown?
Answer:
It will experience a low tide because water is drawn away from the area between the high tides.
Explanation:
The oceans on earth bulge outwards towards the sun and moon due to gravitational pull. This building is highest when the moon and sun are in line (same plane). The coastline within this plane will experience high tides while those at the right angle will have the lowest tides.
ABCD ~ EFGH
C
B
G
3
140°
F
4.5
2
y
50°
110°
A
D
E
2.4
H
y =
[tex]z=110[/tex][tex]A[/tex]
is your final answer. Pls makr me brainiest
The value of y is 3 units.
What are similar figures?This characteristic is referred to as resemblance or comparable figures when two or more items or figures appear to be the same or equal based on their shapes. These figures always superimpose one another regardless of how they are magnified or diminished. When two shapes, such triangles, polygons, or quadrilaterals, have the same dimension or common ratio but a different size or length, they are referred to as comparable figures in geometry.
Given quadrilateral's are similar
ABCD ≈ EFGH
for similarity the angles of both figures are equal and ratio of length of their sides are equal,
so AB/EF = BC/FG = CD/GH = DA/HE
we have AB = 3, EF = 2
CD = 4.5 and GH = y
substitute the values
3/2 = 4.5 /y
y = (4.5 x2)/3
y = 3 units.
Hence the measure of y is 3 units.
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jamie read an 80 page book in 2 hrs. how long would it take him to read a 100 page book?
Answer:
1.5 hours
Step-by-step explanation:
80 /120= 100/x
80x=12000
12000/80=150
150 minutes- 1.5 hours
Answer:
Around 2 hours and 50 minutes.
Solve
If Jamie can read an 80 page book in 2 hours, divide 100 by the time, 2 hours.
[tex]100 / 2 = 50[/tex]
Add that to the time, 2 hours.
[tex]= 2~hrs.~50~mins.[/tex]
It takes Don 55 minutes to finish his
math homework and 25 minutes to
finish his reading homework. How
many more minutes did Don spend
on his math homework than on his
reading homework?
Answer:
Don spent 30 more minutes on his math homework than reading homework.
Step-by-step explanation:
55 - 25 = 30
Select all the expressions that have a value of 22 – 33 + 29. help a girl out! <3
Answer:
2. 8³ - 14 × 6² - 2
4. |-6|
5. 7² - 3.1 - 19 × 2.1
Step-by-step explanation:
To find the expressions, find the solution of the given equation, then solve for each answer choice to see if the soultions match. If they do, then the expressions are equivalent.
2² - 3³ + 29
4 - 27 + 29 = 6
6 is the value were looking for.
1. (78 ÷ 3) - [tex]2^{4}[/tex]
(78 ÷ 3) - 16
26 - 16
= 10
not equal
2. 8³ - 14 × 6² - 2
512 - 14 × 36 - 2
512 - 504 - 2
= 6
equal
3. -|-6|
= -6
not equal
4. |-6|
= 6
equal
5. 7² - 3.1 - 19 · 2.1
49 - 3.1 - 19 · 2.1
49 - 3.1 - 39.9
45.9 - 39.9
= 6
equal
Hence, choices 2, 4, and 5 have a value of 2² - 3³ + 29.
hope this helps!
If –3 i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –3 – i –3i 3 – i 3i
If -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)
How to determine the true statement?The root of the polynomial function is given as:
-3 + i
The above root is a complex root.
If a polynomial has a complex root, then the conjugate of the root is also a root of the function
The conjugate of -3 + i is -3 - i
Hence, if -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)
Read more about polynomial functions at:
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Answer:
A on edge
Step-by-step explanation:
PLEASE ANSWER ASAP
The table represents the distance and height for softball travels after being hit by the batter.
use a quadratic regression model to find the height of the softball when it travels 12 feet. round to the nearest foot.
The height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.
What is the correlation coefficient?Correlation coefficient is used to calculate how strong the relationship is between the two variables.
When there is a statistical relationship between two or more variables, then they are said to be in correlation.
The table represents the distance and height for softball travels after being hit by the batter.
Distance x (ft) Height y (ft) 0 5 2 25 4 37 6 42 8 34 10 26Mean 5 28.167The mean of the data of distance is 5 and the mean of the data of height is 28.167. The correlation coefficient is 0.9938.
The quadratic regression model for this model is given as,
[tex]y=5.29+11.78x-0.98x^2[/tex]
At the 12 feet, the value of height y is,
[tex]y=5.29+11.78(12)-0.98(12)^2\\y=5.53[/tex]
Hence, the height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.
Learn more about the correlation coefficient here;
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I. GIVEN TRIANGLE POR, DETERMINE THE FOLLOWING.
please help me out with this
34
Step-by-step explanation:
122
This is a lengthy question ill go through all the formulas
This is a right triangle which means u can use pythagorean theorem to find QP
formula :
[tex]a^{2} +b^{2} =c^{2}[/tex]
Note that [tex]c^{2}[/tex] is always the hypotenuse(the hyp is always opposite to ninety degrees)
so lets substitute
=> [tex]a^{2} +17^{2} =28^{2}[/tex]
=> [tex]a^{2} +289 =784[/tex]
subtract 289 both sides
[tex]= > a^{2}=495[/tex]
Now square root both
[tex]\sqrt{ a}^{2}=\sqrt{495}[/tex]
==> [tex]3\sqrt{55}[/tex] or 22.2 (answer)
But for the other three u have to use another formula any of sin, tan,cos while using For example angle Q and then use any and do inverse it will be very easy after u know all the formulas of Sin,cos, tan
SOHCAHTOA
^
Thats an acronym for the formula
Sin= Opposite/ hyp
Cos= Adjustent/Hyp
Tan= Opposite/Adjustent
i need help with this, graphing
Answer:
30 baloons per hourStep-by-step explanation:
Use some points on the graph:
(0, 0), (2, 60), (4, 120), (8, 240)The graph is a line passing through the origin, so this is a proportional relationship.
Standard form of such relationship is
y = kx, where k- coefficient of proportionalityUsing one of the coordinate pairs find the value of k
60 = 2kk = 60/2k = 30This is indicating the number of baloons filled per hour is 30.
how do you get the distance between 2 platforms in a zip line math question
Answer:
Could I have more info please? It would be great if there was a graph or some extra description of the problem. I can then write the answer and explanation in the comments. Thanks!
How many ways can you select a
volleyball team (6 players) from a group of 8 people?
Answer:
only once
Step-by-step explanation:
Ok look at it this way there's 8 people and you need 6 you take 6 you will have 2 left so there is only 1 way to to select a volleyball team of 6 out of 8 people
write an inequality to express the relationship between -2 and -5?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The inequality that express the relationship between -2 and -5 is : " greater than " or " > "
[tex]\qquad \tt \dashrightarrow \: - 2 > - 5[/tex]
Question 15.
Which expression is equivalent to
(4x³ + 5x² + 2) + (3x² - 7x + 4)?
Answer:
4x³ + 8x² - 7x + 6
Step-by-step explanation:
remove the brackets by distributing the sign.
4x³ + 5x² + 2 + 3x² - 7x + 4
4x³ + 8x² - 7x + 6
Gather like terms.
If you want to factorise (optional)
4x³ + 8x² - 7x + 6 =
4x²(1 + 2x) - 6x + 3 + 3 - x
4x²(1 + 2x) - 3(1 + 2x) + 9 - x
(4x² - 3) (1 + 2x) + 9 - x
Explain how you could use mental math to estimate the number of soccer balls it would take to produce a total weight of 1 ton
Suppose that 5 green balls and 10 purple balls are placed in an urn. Two balls are then drawn in succession. What is the probability that both balls drawn have the same color if the first ball is replaced before the second is drawn
Answer:
redonculus preshambles.
Step-by-step explanation:
13) Which value is equivalent to the expression 7^2 - 3^4
A) -32
B)-19
C) 16
D) 32
Answer:
-32
Step-by-step explanation:
7^2 = 49
3^4 = 81
49-81=
-32
1. The circle x² + y² = 45 is shown graphed along with the point (6, 3).
(a) Determine graphically the slope of the line segment connecting the origin to the point (6,3).
(b) Carefully draw in the tangent line to the circle at (6,3) using the negative reciprocal slope of the one you found in (a).
(c) What is the y-intercept of the tangent line?
Answer: Please see the analysis in the picture
Please help I need this! Pls!!
Answer:
Step-by-step explanation:
To find how many it is greater, divide the size of the largest email by the smallest email and both should in bytes. So, convert megabytes and kilo bytes to bytes.
4 kilo bytes = 4* 10³ bytes
8 megabytes = 8 * 10⁶ bytes
[tex]\sf \dfrac{8*10^6}{4*10^3}= 2 *10^{(6-3)}[/tex]
[tex]= 2*10^{3}\\\\= 2*1000\\\\= 2000[/tex]
Hint:
[tex]\boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]
Simon wants to buy some flowers He goes into a flower shop and buys 7 daffodils and 6 daisies Simon wants to know the cost of daffodils per flower Unfortunately, Simon forgot to get a receipt, however, he can remember that daisies costs 61p per flower. He can also remember that he spent £8.49 What is the cost of daffodils per flower?
Answer:
69p each
Step-by-step explanation:
well if each daisy is 61p you want to multiply that price by 6 to get total daisy price, which is £3.66 Then you take £8.49 from £3.66 to get the total price of the daffodils, which is £4.83. Then you divide the the price by the number of daffodils which is 69p. :))(
The total weight for the
murderer, x, and his/her luggage, y, was 230lbs. The
weight of the murderer was 10lbs less than twice the
weight of the luggage.
Equations
Answer:
x=110lbs and y=120lbs
Step-by-step explanation:
[tex]Solution,\\\\x+y=230lbs\\\\[/tex]
When the weight of x is 10lbs less than y,
Then,
[tex]x=y-10lbs[/tex]
Now we have,
[tex]\hookrightarrow x+y=230lbs\\\\\hookrightarrow (y-10lbs)+y=230lbs\\\\\hookrightarrow 2y-10lbs=230lbs\\\\\hookrightarrow 2y=230lbs+10lbs\\\\\hookrightarrow 2y=240lbs\\\\\hookrightarrow y=240lbs/2\\\\\hookrightarrow y=120lbs[/tex]
Again,
As x=y-10lbs
Then,
[tex]\hookrightarrow x=y-10lbs\\\\\hookrightarrow x=120lbs-10lbs\\\\\hookrightarrow x=110lbs[/tex]
A cone has a base area of 20 square inches and a height of 27
inches. A cylinder has a base area of 20 square inches and a height
of 27 inches. What can we say about the volumes of the shapes
when we compare them?
E E E E E E E E E E E E E E EE E E E E E E E E E E E E E E E E E E
Pls help simple math
Answer:
[tex]y = \frac{-2}{3}[/tex]
Step-by-step explanation:
[tex]f(x)=-1[/tex], means thsat you replace all the x with -1. Then after you replace it you simplify the fraction.
[tex]f(x)=-1[/tex]
Equation: [tex]f(x) = \frac{x-1}{3}[/tex]
Steps:
1. [tex]f(-1)= \frac{(-1)-1}{3}[/tex]
2. [tex]f(-1)= \frac{-2}{3}[/tex]
Answer:
[tex]f(-1)= \frac{-2}{3}[/tex]
Answer:y=-2/3
Step-by-step explanation:
calculate the shaded area
Answer:
6.75[tex]\pi[/tex] or 21.2
Step-by-step explanation:
Find the area of the small circle using [tex]\pi r^{2}[/tex]
Plug in 1.5 for r to get 2.25[tex]\pi[/tex]
Find the area of the big circle using [tex]\pi r^{2}[/tex]
Plug in 3 for r to get 9[tex]\pi[/tex]
Subtract the area of the small circle from the big circle to get 6.75[tex]\pi[/tex] or 21.2
Can someone help???????????
Answer:
red ---- 77 degrees
Step-by-step explanation:
Neptune is about how many times as far from the Sun as Mars is from
the Sun?
Neptune - 2,800,000,000
Mars= 142,000,000
Solution:
Answer:
Neptune is 4.495 billion far from the sun and mars is 227.9 million km
the anwer is 4.2671 i guess
9×100+9×10+0×1+0×1/10+3×1/100+7×1/1000
Answer: 990.037
Step-by-step explanation:
About 14,200,000 results (0.72 seconds)
990.037 +9×10+0×1+0×1/10+3×1/100+7×1/1000
1. What is the simplified form of the rational expression below?
3.22_10x-8
22-1-12
[tex]\dfrac{3x^2-10x-8}{x^2-x-12}\\\\\\=\dfrac{3x^2-12x+2x-8}{x^2 -4x +3 x -12}\\\\\\=\dfrac{3x(x-4)+2(x-4)}{x(x-4)+3(x-4)}\\\\\\=\dfrac{(x-4)(3x+2)}{(x-4)(x+3)}\\\\\\=\dfrac{3x+2}{x+3}[/tex]
Without graphing, determine the range of the function f(x) = -5|x+2|-7 over
the interval [-10, 5].
A.[-47,-7]
B.[-47,-42]
C.[-7,-42]
D[-2,-7]
Answer: A
Step-by-step explanation:
An ice cream factory makes 220 quarts of ice cream in 10 hours. How many quarts could be made in 36 hours? What was that rate per day?
( I will mark brainliest, please answer+explain!)
Answer:
For 36 hours, that would be 792 quarts. The unit rate is 528 quarts per day.
Step-by-step explanation:
If you divide 36 by 10, you get 3.6, and then you multiply that with 220. That gets you 792 quarts for 36 hours. To find out the rate per day, do 24 divided by 10, and then multiply that by 220.
Mike has $21 to spend at the mall.
He spends all of his money on
bracelets for his sisters. Bracelets
cost $3 each. How many bracelets
does he buy?
Answer:
7 Bracelets
Step-by-step explanation:
Okay, you have 21$ to spend, since bracelets cost 3$ each (not including tax), you can do 21/3 which will get you 7 bracelets. Hope this helps!
Answer:
7 bracelets
Step-by-step explanation:
21/3 = 7