There are 24 students in a class and a decrease of 15%. How many students would you have?
Answer:
20
Step-by-step explanation:
85% of 24 is 20
5.
In the parallelogram ABCD, the diagonals AC and BD
are equal in length. What is the measure of the angle A
?
two
(A) 30
(B) 45
(C) 60
(D) 75
(E) 90
How to solve this?
Answer:
(E) 90°
Step-by-step explanation:
The diagonals of a parallelogram are equal in length if and only if the parallelogram is a rectangle.
Any angle of a rectangle is 90°.
_____
Adjacent angles of a parallelogram are supplementary. If the diagonals are the same length, the triangles formed by either diagonal are congruent with the triangles formed by the other diagonal. This means adjacent angles are congruent. Congruent supplementary angles are 90°.
how much is 27.99$ with 25% extra
Answer:
34.98
Simply add the 27.99 with 25%
= 34.98
How much should you invest at 3.7% simple interest in order to earn $70 interest in 11 months?
Step-by-step explanation:
in this condition we are given simple interest time and rate
so principal is missing so we should use the formula of principal that is
P=I×100/T×R
but we should convert that month in to years and we convert it by dividing it by 12.
Suppose the lengths of 3-year-old cats are normally distributed with a mean of 30 inches and a
standard deviation of 2.92 inches. Find each of the following:
1. The percent of cats between 24.16 and 35.84
2. The percent of cats who are longer than 35.84
3. The percent of cats shorter than 24.16 inches
1. The percent of cats between 24.16 and 35.84 is 95%
2. The percent of cats who are longer than 35.84 is 2.28 %
3. The percent of cats shorter than 24.16 inches is 2.28%
What is the empirical rule formula in statistics?The empirical rule - formula
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean, u = 30 inches
Standard Deviation, s = 2.92 inches
Formula for z-score = (x-u)/s
1. We have to find the percent of cats between 24.16 and 35.84 inches.
24.16, z-score = -2
35.84, z-score = 2
According to the empirical rule,
95% of the data values are within 2 standard deviations of the mean.
So, 95% of the cats are between 24.16 and 35.84 inches.
2. Here, x = 35.84
z=(35.84-30)/2.92
z= 2
According to the Empirical Rule,
95% of the values lie within 2 standard deviations of the mean.
So, the percent of cats who are longer than 35.84
100 - 97.72 = 2.28%
3. Now, x = 36.22
Using the formula mentioned above, we get:
z= 24.16-30/2.92
z=-2
According to empirical rule,
68% of the values lie within 1 standard deviation of the mean.
i.e., remaining 32% are outside the 1 standard deviation and half of the values i.e. 16% are below 1 standard deviation.
The percent of cats shorter than 24.16 inches is 2.28%
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Given
μ = 30 inσ = 2.92 inFind z-scores for x = 24.16 and x = 35.84
Use formula
z = (x - μ)/σ 1) z = (24.16 - 30)/2.92 = - 22) z = (35.84 - 30)/2.92 = 2Find the corresponding percentage from z-score table
z = - 2 ⇒ 2.28%z = 2 ⇒ 97.72%Now find the answers#1The percent of cats between 24.16 and 35.84
97.72 - 2.28 = 95.44%#2The percent of cats who are longer than 35.84
100 - 97.72 = 2.28%#3The percent of cats shorter than 24.16 inches
2.28%Write a sequence of dilations and translations that maps circle D onto circle C and that shows the two circles you created are similar.
Answer: Circle d
Step-by-step explanation:
One number is ten more than twice another. Their sum is one. Find the numbers.
answer:
x = 4
y = -3
steps :
x = 10 + 2y
x + y = 1
2y = x - 10 -> y = 1/2x - 5
x + y = 1 -> y = 1 - x
since theyre both equal to y they are equal to each other
1/2x - 5 = 1 - x
3/2x = 6
x = 4
plug 4 back where x is
y = 1 - 4
y = -3
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Directions:Solve this equation
[tex]5 + 5x= 12x - \frac{12}{5} \times 7\div 5[/tex]
Thanks to whoever answers! <3
Answer:
-3.21538461538
Step-by-step explanation:
[tex]\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}[/tex]
[tex]\mathrm{Multiply\;both\;sides\;by\;5}:[/tex] [tex]5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5[/tex]
[tex]\mathrm{Now\;we\;have\;}:[/tex] [tex]25+25x=12x-\frac{84}{5}[/tex]
[tex]\mathrm{Subtract\;by\;sides\;by\;25}:[/tex] [tex]25+25x-25=12x-\frac{84}{5}-25[/tex]
[tex]\mathrm{Thus\;we\;have}:[/tex] [tex]25x=12x-\frac{209}{5}[/tex]
[tex]\mathrm{Subtracting\;12x\;from\;both\;sides}:[/tex] [tex]25x-12x=12x-\frac{209}{5}-12x[/tex]
[tex]\mathrm{So\;then\;we\;have:}[/tex] [tex]13x=-\frac{209}{5}[/tex]
[tex]\mathrm{Now\;divide\;both\;sides\;by\;13}:[/tex] [tex]\frac{13x}{13}=\frac{-\frac{209}{5}}{13}[/tex]
[tex]\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}[/tex]
[tex]\mathrm{Decimal\;form}:-3.21538461538[/tex]
Kavinsky
Give the degree of the polynomial. 10yx^5w^4-w^3v^5-5x^11-6
10yx⁵w⁴ - w³v⁵ - 5x¹¹ - 6
Degree = biggest exponent = 11
Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25
∘
∘
. If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer:
66.9 ft
Step-by-step explanation:
Kite string forms a right triangle with the horizontal 3.5 feet off of the ground
sin 25 = opp / hyp = height / 150
sin 25 = height / 150
150 sin25 = height but it is 3.5 feet off of the ground...add that in
3.5 + 150 sin25 = true height = ~ 66.9 ft
What is the area of this shape?
The area of the composite shape in the image given is calculated as: 316 yd²
How to Find the Area of a Composite Shape?To find the area of a composite shape, find the area of each of the shape that makes up the figure, then add their areas together.
The area of the composite shape = area of big rectangle + area of small rectangle + area of big triangle + area of small triangle
Area of big rectangle = (length)(width) = (5 + 4)(8) = 72 yd²
Area of small rectangle = (length)(width) = (5)(4) = 20 yd²
Area of big triangle = 1/2(base)(height) = 1/2(12)(4+5+4+7) = 120 yd²
Area of small triangle = 1/2(base)(height) = 1/2(8+5)(16) = 104 yd²
The area of the composite shape = 72 + 20 + 120 + 104 = 316 yd²
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find the value of x. Cos(67°) = x/1
Answer:
The value of cos 67° is equal to the x- cordinate ( 0.3907 ). therefore, cos 67° = 0.3907
find the greatest common factor of 21 35 70
Answer:
7
Step-by-step explanation:
21 = 3 x 7
35 = 7 x 5
70 = 2 x 5 x 7
The greatest common factor of 21, 35 and 70 is 7.
Note : -
The greatest common factor ( GCF ) of a set of numbers is the largest factor that all the numbers share.
Work out 3 1/2 x 1 3/7, giving your answer in its simplest form?
let's firstly convert the mixed fractions to improper fractions and then get their product.
[tex]\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{7}}\implies \cfrac{1\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{10}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\cdot \cfrac{10}{7}\implies \cfrac{7}{7}\cdot \cfrac{10}{2}\implies 1\cdot 5\implies 5[/tex]
The graphs below have the same shape. What is the equation of the graph of g(x)?
A. g(x)=x²-2
B. g(x) = (x + 2)²
C. g(x)=(x-2)^2
D. g(x)=x^2+2
Answer:
B. g(x) = (x + 2)²
Step-by-step explanation:
We got the graph of g by translating the graph of the parent function
f(x) = x² two units to the left
Therefore the equation of the graph of g is (x + 2)²
What is the probability that a person with an iron deficiency is 20 years or older?
A.
0.23
B.
0.34
C.
0.60
D.
0.78
The answer to this is:
0.34
The probability that a person with an iron deficiency is 20 years or older will be 0.34. Then the correct option is B.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
The table is given below.
Then the probability that a person with an iron deficiency is 20 years or older will be
P = 102 / 300
P = 0.34
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The sum of Two numbers is 9. The
sum of the squares of the numbers is
41. Find the numbers.
Answer:
4 and 5
Step-by-step explanation:
Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"
X + Y = 9 {equation 1}
X² + Y² = 41 {equation 2}
from equation 1: y = 9-x
Substitute that into equation 2
x² + (9-x)² = 41
x² + 81 - 18x + x²= 41
2x² - 18x + 40 = 0
We can factor out a 2
x² - 9x + 20 = 0
(x-5)(x-4) = 0
x = 5 or 4
checking
Your two numbers are 4 and 5
4² + 5²
= 16 + 25
= 41
if the area of a triangle is 64 and the height is 10 what is the base
A square has a perimeter of 40 feet. Find the length of the
diagonal of the square.
Answer:
14.14
Step-by-step explanation:
Answer:
The length of the diagonal of the square is about 14.142 feet
Step-by-step explanation:
Step 1: Determine the length
[tex]P = 4(l)[/tex]
[tex]40\ ft = 4(l)[/tex]
[tex]\frac{40\ ft}{4}=\frac{4(l)}{4}[/tex]
[tex]10\ ft = l[/tex]
Step 2: Determine the diagonal length
Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]
a and b are going to be the sides of the square which are both 10 ft so we just plug those in and solve for c
[tex](10)^2 +(10)^2 =c^2[/tex]
[tex]100+100=c^2[/tex]
[tex]\sqrt{200}=\sqrt{c^2}[/tex]
[tex]14.142=c[/tex]
Answer: The length of the diagonal of the square is about 14.142 feet
Someone please check my answers for 5 & 6, correct me if they are incorrect. May someone also please help me with 7 & 8? Thank you!
For part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.
What is debt?It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
5)
Total value = 20×30 + 18×40 + 35×15 = $1845
6)
Net worth = (3500 + 300 + 600) - (1000+200) = $3200
7)
Total debt value = 2000+3200 = $5200
Total assets value = 10000+1300+700 = $12000
Debt to assets value = 5200/12000 = 0.433
Similarly, we can find any debt to assets value by using the formula:
Debt to assets value = Total debt/Total assets
Thus, for part 5 the total value is $1845, for part 6 the total net worth is $3200, and for part 7 the debt to assets value is 0.433.
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GIVING BRAINLIEST AND 5 STARS TO BEST ANSWER!!! I HAVE 1 HOUR LEFT!!!!!!
Answer:
The origin is where x,y lines meet. I put a cirlce there with no label there. Sorry it's messy
Step-by-step explanation:
I'm only a 6th grader. No hate, please. I only did what I learned from my teacher.
Calculus, factor the given polynomial.
Answer:
x² + 10x + 21 = (x + 3)(x + 7)Step-by-step explanation:
x² + 10x + 21 = x² + (3x + 7x) + 21
= (x² + 3x) + (7x + 21)
= x(x + 3) + 7(x + 3)
= (x + 3)(x + 7)
What is the sum of the first thirteen terms in a geometric series with a
r = 3 a1= -10
The sum of the first thirteen terms of the geometric series is -7971615.
What is Geometric series?This is the sum of an infinite number of terms that has a constant ratio between successive terms.
To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.
Formula:
S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1Where:
S₁₃ = Sum of the first thirteen terms of the geometric series.a = First term of the seriesr = Common ratioGiven:
a = -10r = 3n = 13Substitute these values into equation 1
S₁₃ = -10(3¹³-1)/(3-1)S₁₃ = -7971615Hence, the sum of the first thirteen terms of the geometric series is -7971615.
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please help need asap
brainly.com/question/27661391 yo im begging some one to help
Step-by-step explanation:
Find the volume of the candle:
3^2 x 3.14 x 4= 113.04cubic inches.
now divide total wax used by volume of a candle.
3278.16 / 113.04 = 29 candles.
Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3
Answer:
y = 2x - 1
Step-by-step explanation:
y - 2x + 2 = 1
6x - 3y = 3
[tex]y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1[/tex]
Plug in for y:
6x - 3(2x - 1) = 3
6x - 6x + 3 = 3
Simplified, 3 = 3
Answer: this solution has infinite solutions
Step-by-step explanation:
original system:
y-2x+2 = 1
6x-3y = 3
Move 2 to right side of equation
y -2x = -1
-3y+6x = 3
solve for y in first equation
⇒ y = 2x - 1
insert y into second equation
⇒ -3(2x-1) + 6x = 3
simplify
⇒ -6x+3+6x = 3
simplify once more
⇒ 3 = 3
this solution has infinite solutions
The perimeter of a rectangular painting is 304 centimeters. If the width of the painting is 61 centimeters, what is its length?
Answer:
The width of the rectangle is 91 cm
Step-by-step explanation:
61 × 2 = 122
304 - 122 = 182
182 ÷ 2 = 91
Answer:
91 cm
Step-by-step explanation:
61 x 2 (because there are 2 sides with length 61) = 122
304 - 122 = 182
182 / 2 = 91
i need this answer fast and as soon as possible
Find the volume of the podium in the shape of a prism.
Answer:
8640
Step-by-step explanation:
1) Volume of the lower prism:
V1 = 27*20*12 = 6480
2) Volume of the higher prism:
V2 = 9*20*12 = 2160
3) Volume of the podium: V1 + V2 = 8640
Simplify (3^-2)^4
O A. 1 /3^2
O B. 3^2
O c. 3^8
OD.1/3^8
[tex](3^{-2})^4 = 3^{-2 \times 4} = 3^{-8} = \dfrac 1{3^8}\\\\\text{Hence the answer is D.}[/tex]
Answer:
1/3^8
Step-by-step explanation:
[tex]\hookrightarrow (3^{-2} )^{4} \\[/tex]
As,
x⁻²=1/x²
Then,
[tex]\hookrightarrow (\frac{1}{3^{2} } )^{4} \\\\\hookrightarrow (\frac{1}{9} )^{4} \\\\\hookrightarrow ((\frac{1}{3} )^{2})^{4} \\\\\hookrightarrow (\frac{1}{3})^{8}[/tex]
If ( x - y ) = 2 and xy = 3 find the value of...
[tex] {x}^{3} + {y}^{3} [/tex]........
Answer: 4:7
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Given :
x - y = 2xy = 3Solving :
2 values which satisfy the given conditions are x = 3 and y = 1Evaluating the expression :
x³ + y³(3)³ + (1)³27 + 128What is the surface area?
2 mm
9 mm
3 mm
Answer:
Surface area of rectangular prism
=P×h
=2(l+w)×h
=2(3+9)×2
=48mm²
[tex] \boxed{ \frak{Answer}}[/tex]
Given,
Length (l) = 9 mm
Breadth (b) = 3 mm
Height (h) = 2 mm
To find: The surface of it.
We, know that
Surface area of a cuboid = 2(lb + bh + lh)
By using the formula,
= 2(lb + bh + lh)
= 2(9*3 + 3*2 + 9*2)
= 2( 27 + 6 + 18)
= 2(51)
= 102 mm²
Therefore the required surface area is 102 mm²[tex] \boxed{ \frak{Keep \: Learning }}[/tex]