Answer:
11
Step-by-step explanation:
4, 9, 16, 25, 36, 49, 64, 81, 100, 121
There are 10 numbers who are perfect squares.
What is Square of a number?When an integer is multiplied by the same integer, the resultant number is known as a square number. For example, when we multiply 5 × 5 = 52, we get 25. Here, 25 is a square number. Square numbers are always positive, they cannot be negative because when a negative number is multiplied by the same negative number, it results in a positive number.
Properties of Square NumbersThe properties of square numbers are listed below which helps to identify them easily.
Square numbers always end with the digits 0, 1, 4, 5, 6, and 9. For example, 25, 49, 81, 100, etc are perfect squares, whereas, 37, 48, 22, etc are not considered to be perfect square numbers.The number of zeros at the end of a square number is always even. This means if a number has an odd number of zeros at the end, then the number is not a square number. For example, 400, 3600 are square numbers, whereas, 10, 250, and 360 are non-square numbers.If a number has 1 or 9 as its last digit, then its square number ends with 1. For example, the square of 9 is 81, and the square of 11 is 121.If a number has 4 or 6 as its last digit, then its square number ends with 6. For example, the square of 4 is 16, and the square of 26 is 676.The square of even numbers is always even, and the square of odd numbers is always odd. For example, the square of 12 is 144, and the square of 13 is 169.Square numbers are always positive because two negative signs multiplied by each other result in a positive sign. For example, (-6)2 = -6 × -6 = 36 . Here, the product is 36 and it is a positive square number.Given:
2 and 140
Now, the perfect squares are:
√4=2
√9=3
√16 =4
√25=5
√36=6
√49=7
√64=8
√81=9
√100=10
√121=11
Learn more about square of a number here:
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simplifying expressions
this is a whole page of questions and i dont remember how to do them pls help if you know any of them
1. 12m + 24m
2. 90a - 30a
3. 14b + 15b + 8
4. 58d + 25 - 22d
5. 3(14 + 15f) + 79
6. 20(18 + 5t) - 47 + 28t
Step-by-step explanation:
These problems are about like terms. Those are terms that are alike (same variables) but the coefficients (numbers in front) can be different.
1. 12m + 24m = 36m
2. 90a - 30a = 60a
Example: 6k + 8k + 10 = 14k + 10 (the part of the expression that's just a number does not combine with the parts that have variables).
3. 29b + 8
4. 36d + 25 (the terms with d in them combine--they don't have to be back-to-back)
5. This is about the Distributive Property; first multiply 14 + 15f both by 3, then look for opportunities to combine like terms.
3(14 + 15f) + 79 = 42 + 45f + 79 = 121 + 45f
6. 20(18 + 5t) - 47 + 28t = 360 + 100t - 47 + 28t
= 313 + 128t
which if the following is the x-corrdinate of the solution to the system shown below?
x+y=11
x-y=7
(A) x=9
(B) x=2
(C) x= 18
(D) x=14
Answer:
x = 9
hope it helps
I'm soo sad :(
Please help! I need this aS-0
Answer:
6.
18+18 = 36
hence
x = 16
7.
x = 7 × 2
x = 14
Beth is making fruit saladShe adds 5 grapes for every 2 strawberries she uses 12 strawberries, how many grapes will use? please get back to me !
Answer:
she uses 12×5=60 grapes
Answer:
30
Step-by-step explanation:
5 grapes : 2 strawberries
5 : 2
x : 12
x = (5 × 12) ÷ 2
x = 30
Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each loaf had 16 slices of bread. The boys used up all the bread to make the sandwiches. They used 2 slices to make each sandwich. How many sandwiches did they make for the shelter?
Thanks For answering!
Answer:
64 slices
Step-by-step explanation:
The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.
16⋅8=128 slices of bread in total
Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.
128÷2=64.
A quantity with an initial value of 390 the keys continuously at a rate of 5% per decade what is the value of the quantity after 51 years to the nearest hundred
Answer:
4695.90
Step-by-step explanation:
The exponential growth function is given as:
y = a(1 + r)^t
a = Initial value = 390
y = Value after time t = ?
r = Growth rate = 5% = 0.05
t = Time in years =51
Hence
y = 390(1 + 0.05)⁵¹
y = 4695.9002123
Approximately = 4695.90
please help what is the answer?
Answer:
D. 120
Step-by-step explanation:
After taxes, Olive brings home $2800 per month. She has decided that she would like to set aside 15% of her income for savings. How much will Olive save each month?
Answer:
420
Step-by-step explanation:
15%= 0.15
2800*0.15= 420
Lucy is going to invest in an account paying an interest rate of 7% compounded daily. How much would Lucy need to invest, to the nearest dollar, for the value of the account to reach $84,000 in 6 years?
Answer:
Lucy needs to invest $55,194.16
Step-by-step explanation:
Solving Similar Triangles. pls help i dunno this:(
1.y=16 x=8 ||| Because the 12 and 9 are the same side, i just decided to go from there, 9 is 75% of 12, so y and x would be
2.d=24 ||| the smaller triangle once again is 75% of the bigger one.
3.x=6 y=60 ||| the smaller triangle is 1/3 of the bigger one.
4. DE=8 AC=20 ||| The smaller triangle is half of the bigger one.
1. 6 is 75% of 8 and 12 is 75% of 16.
2. 18 is 75% of 24
3. 18/3=6 and 6 is 1/3 of 18; 20 is 1/3 of 60
4. 10 is 1/2 of 20; 1/2 of 16 is 8
Hope this helps.
Find the distance between the two points in simplest radical form . (4, 6) and (- 2, 9) pls the answer no links!!
Answer:
2,4
Step-by-step explanation:
The probability of randomly selecting a white flower from a garden that has green, pink, yellow, and white flowers is 3%.
Which of the following describes the likelihood of selecting a white flower?
A. likely
B. unlikely
C. neither unlikely nor likely
Plz helppp
A museum charges a yearly membership fee plus an additional price per visit. Brian visited the museum eight times and paid a total of $175. Samantha visited the museum 13 times and paid a total of $235. What is the annual membership fee and the price per visit? Be sure to define your variables and solve algebraically.
Answer:
x = annual membership fee = $79
y = price per visit = $12
Step-by-step explanation:
Let
x = annual membership fee
y = price per visit
Brian:
x + 8y = 175
Samantha:
x + 13y = 235
x + 8y = 175 (1)
x + 13y = 235 (2)
Subtract (1) from (2) to eliminate x
13y - 8y = 235 - 175
5y = 60
y = 60/5
y = 12
Substitute y = 12 into (1)
x + 8y = 175 (1)
x + 8(12) = 175
x + 96 = 175
x = 175 - 96
x = 79
x = annual membership fee = $79
y = price per visit = $12
1 The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of the roof, to the nearest tenth of a foot, if the side lengths each measure 25 feet. In your final answer, include all necessary calculations. You may include a sketch as part of your work.
2 To determine the amount of roofing materials needed, the area of the roof's entire surface is calculated, including the ceiling of the garage. Considering the sketch of the roofing design, create a formula to model the area of the roof's entire surface. In your final answer, include all of your calculations.
3The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. In two or more complete sentences, explain how these changes affect the model for the area of the roof's entire surface.
4The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. Create a formula modeling the area of the roof’s surfaces that the contractor will be purchasing supplies for.
5 Use the formula you created in the previous question to calculate the area of the roof that the contractor will be purchasing supplies for, assuming that the side length of the triangular bases is 25 feet and the length of each rectangular face is twice its width.
try your best i really need help!!
Answer:
Step-by-step explanation:
Step-by-step explanation: As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.
See the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.
Now, in ΔADB, we have
AD^2=AB^2-BD^2
AD^2=AB^2-(1/2AB^2)^2
AD=√3/4AB^2
we can find the height of any one of the roof's triangular bases.
2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a
2. if a=25 ft, then the height is √3/2a=√3/2*25=1.732/2*25=21.7(ft)
3. consider picture 2. Let the length of the roof be l feet.
one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l
the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2
so the total area of the roof is
4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al
5. so the area now is √3/2a^2 + 2al
6. now a=25 and l=2a=50
Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866
=3041.3 (ft squared)
Which of the following describe 9.629? Select all that apply.
whole number
real number
rational number
irrational number
Answer:
Real number
Rational number
Step-by-step explanation:
A number, m, is rounded to 1 decimal place.
The result is 9.4
Complete the error interval for m.
Answer:
Dfrew
Step-by-step explanation:
Calcula y comprueba las ecuaciones: porfavor alguienn la nesesito pliss a) 2X = 6 b) 10 + Z = 20 c) P + 9 = 11 d) 3X + 8 = + 29 e) 2U + 8 = 10
Answer:
a) x = 3
b) z = 10
c) p = 2
d) x = 7
e) u = 1
Step-by-step explanation:
a) 2x = 6
Despejamos x dividiendo por 2 a amabos lados de la eacuacion.
(2/2)x = 6/2
x = 3
Si remplazamos x en la ecuación original:
2(3)=6
6 = 6
Queda demostrado.
b) 10 + z = 20
Despejamos z restando 10 en amabos lados de la eacuacion.
10-10+z = 20-10
z = 10
Si remplazamos z en la ecuación original:
10 + 10=20
20 = 20
Queda demostrado.
c) p + 9 = 11
Despejamos p restando 9 en amabos lados de la eacuacion.
p + 9 - 9 = 11-9
p = 2
Si remplazamos p en la ecuación original:
2 + 9 = 11
11 = 11
Queda demostrado.
d) 3x + 8 = 29
Despejamos x restando 8 en amabos lados de la eacuacion y luego divideindo por 3 en ambos lados de la ecuación.
3x+8-8 = 29-8
3x = 21
(3/3)x = 21/3
x = 7
Si remplazamos x en la ecuación original:
3(7) + 8 = 29
21 + 8 = 29
29 = 29
Queda demostrado
e) 2u + 8 = 10
Despejamos u restando 8 en amabos lados de la eacuacion y luego divideindo por 2 en ambos lados de la ecuación.
2u+8-8 = 10-8
2x = 2
(2/2)x = 2/2
x = 1
Si remplazamos x en la ecuación original:
2(1) + 8 = 10
2 + 8 = 10
10 = 10
Queda demostrado
Espero te haya sido de ayuda!
Two angles of a quadrilateral are 40 degree and 60 degree and the ratio of remaining two angles is 7:6. The degree measure of remaining two angles is?
Answer:
140,120
Step-by-step explanation:
sum of angles in a quadrilateral =360
sum of the 1st two angles=60+40=100
360-100=260
the ratio of the remaining angles 7:6
therefore:
[tex] \frac{7}{13} \times 260[/tex]
=140
for the second angle
260-140=120
Nora needs 5 and 1/2 cups of flour for a cookie recipe she is making for a large party. So far she has scooped 1 1/2 cups and 1 3/4 cups of flour into her bowl. How many more cups of flour does she need?
Grace has 27 coins (a combination of dimes, d, and quarters, q). She has $4.50 total. How many coins of each type does she have?
Answer:
15 dimes, 12 quarters
Step-by-step explanation:
d + q = 27
.10d + .25q = 4.5
solve by substituting '27-q' for 'd'
.10(27-q) + .25q = 4.5
2.7 - .1q + .25q = 4.5
.15q = 1.8
q = 1.8/.15
q = 12
d = 27-12 which is 15
Can someone help me ASAP pls right answers only
The box plot that shows this information is given at the end of the problem.
What is a box plot?It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.
The smallest value.The first quartile.The median.The third quartile.The highest value.For this problem, the measures are given as follows:
Shortest wait: 30 mins = 0.5 hours.Q1: 3 hours.Median 4 hours and 30 minutes = 4.5 hours.IQR = 2 hours and 15 minutes = 2.25 hours, hence Q3 = 3 + 2.25 = 5.25 hours.Longest wait: 7 hours.The box plot with these data is given at the end of the answer.
More can be learned about a box plot at https://brainly.com/question/28160012
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a person invested $7400 in an account growing at a rate allowing the money to double every 13 years. how much money would be in the account after 11 years, to the nearest dollar?
Answer:
$13,304
-We use the compound interest function to determine the rate of growth.
-Given that the amount doubles in 13 years, the annual growth rate is calculated as:
We now substitute this value of i in the compound interest formula equation to solve for future value:
Hence, the future value to the nearest dollar is $13,304
*You can alternatively use the exponential growth function:
This is slightly off by just $1
Step-by-step explanation:
please answer correctly
a2b3 =
(ab)5
(ab)6
aabbb
aa + bbb
Answer:
aabbb
Step-by-step explanation:
because a x 2 aa b x 3 bbb so aabbb
Answer:
C. aabbbStep-by-step explanation:
a²b³ = a·a·b·b·bCorrect choice is C
4 times the sum of x and 30
Think Start with the sum of x and 30. Then find 4 times the sum
The sum of x and 30
4 times the sum
x(x + 30)
Kelly is 9 years old .In two years Kelly will be 1/3 of his mothers age now .What is his mother age
Answer: 31
Step-by-step explanation:
9 + 2 = 11. 11 is how old Kelly is in 2 years.
1/3 of 33 is 11. Kelly's mother is 33 in two years, meaning two years ago, Kelly's Mother is 31.
Here is the full equation. K = Kelly. M = Kellys Mom
9k = m
2k + 9k = m + 2m
11k = m + 2
11k = [tex]\frac{m}{3}[/tex]
M + 2 = 33
-2 -2
m = 31
X
у
-10
-25
-5
5
10
15
20
-20
-15
О-5
Answer:
c
Step-by-step explanation:
From the definition of a function, an x-value cannot have more than 1 corresponding y-value. Since x = -5 has already been used, it cannot be used again with a different value for y.
PLEASE HELP I WILL CHOOSE BRAINLIEST!
Answer:
x=9
Step-by-step explanation:
Use the triangle Similarity theorem. First, make a proportion.
--------------------------------------------------------------------------------------------
21 / 77 is equal to 30 / 11x + 11 then solve.
Step 1: Cross-multiply.
21*(11x+11)=(30)*(77)
231x+231=2310
Step 2: Subtract 231 from both sides.
231x+231−231=2310−231
231x=2079
x=9
HOPE THIS HELPS!
answer CORRECTLY for brainleist if u put a link i will report u ! thx have a bleesed night all ;)
Answer:
132 cm squared
Step-by-step explanation:
for the two triangles 8 times 3 divided by 2 is 12 times 2 for two triangles equals 24
the two side rectangles easy just do 5 times 6 and it equals 30 times two because there is 2 and you get 60
the bottom rectangle do the same thing except 6 times 8 and there is only one so 48
add all areas together to get 132
In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?
Answer:
34 °
Step-by-step explanation:
∠D = 71°
∠G = 37°
In ΔGEF
Using angle sum property of triangle : Sum of all angles of triangle is 180°
∠G+∠E+∠F = 180°
Since ΔGEF is right angled triangle at F so, ∠F = 90°
Now, 37°+∠E+90° = 180°
127°+∠E= 180°
∠E= 180°-127° =53°
Now ∠E+∠D = 53°+71° = 124°
Now using exterior angle property in ΔABC
An exterior angle of a triangle is equal to the sum of the opposite interior angles
∠E+∠D is the exterior angle of ΔABC
So, ∠A+∠B = ∠E+∠D
since ΔABC is right angled triangle at B so, ∠B = 90°
∠A+90° = 124°
∠A = 124°-90°
∠A = 34°
Hence the measurement of angle A is 34 °
Assuming the following is a triangle, A = 72°
All interior angles of a triangle added together will always equal 180°, so [tex]180 - 71 - 37 = 72[/tex]
can someone help me please
Answer:
1921.67
1922 to the nearest whole number
Step-by-step explanation:
Cylinder
V = pi*r^2 * h
pi = 3.14
r = d/2
r = 12/2
r = 6
h = 13
V = 3.14 * 6^2 * 13
V = 1469.52
1/2 Sphere
V= 2/3 * pi * r^3
r = 6
pi = 3.14
V = (2/3) 3.14 * 216
V = 452.2
Total Volume
V_tot = 452.2 + 1469.52
V_tot = 1921.67