Answer:
y=36.25
Step-by-step explanation:
substitute x
y=7.25(5)
y=36.25
Answer:
y=36.25
Step-by-step explanation:
We are given
y= 7.25x
and
x=5
We know that x is equal to 5, therefore we can substitute 5 in for x.
y= 7.25x
y=7.25(5)
Multiply 7.25 and 5
y=36.25
In the image below, a = 8 cm and b = 9 cm.
What is the surface area of the square pyramid?
144 square cm
196 square cm
225 square cm
369 square cm
Answer:
225
Step-by-step explanation:
first the square
9*9 = 81
then the triangle
a is 8
triangles are l*w/2 so 8*4.5/2
8*4.5 = 36/2 = 18
There are 8 of these triangles
18*8 is 144
144+81 = 225
The surface area of the square pyramid is approximately `196` square cm.
What is Surface Area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
We can use the Pythagorean theorem to find the slant height of the pyramid:
[tex]$$l = \sqrt{a^2 + \left(\frac{b}{2}\right)^2} \\= \sqrt{8^2 + \left(\frac{9}{2}\right)^2} \\= \sqrt{64+\frac{81}{4}} \\= \frac{\sqrt{433}}{2}$$[/tex]
So, the lateral area of the pyramid is the area of the four triangles with base `b` and height `l`, which is:
[tex]$$A_{lat} = 4\cdot\frac{1}{2}b\cdot l \\= 4\cdot\frac{1}{2}\cdot 9 \cdot \frac{\sqrt{433}}{2} \\= 27\sqrt{433}$$[/tex]
So, The area of the base of the pyramid is a² then
[tex]$$A = A_{lat} + a^2$$[/tex]
= = 27√433 + 8²
= 27√{433} + 64
= 196.4 cm²
Therefore, the surface area of the square pyramid is approximately `196` square cm.
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Someone please help me.
Answer:
D
Step-by-step explanation:
-4 x 3/2 = -12/2; which equals -6
so -6x.
-4 x -1/2 = 4/2; which equals 2
This means that:
-6x + 2 = 15; so 'D' is the answer
Answer:
D
Step-by-step explanation:
The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.
Can someone give me three possible solutions?
Scientists often use the catch, band, and release method to estimate the size of wildlife populations. For example, 250 trout were caught, banded, and released into a small lake in Northern Ontario. One month later, another 250 trout were caught in the lake, 30 of them had bands. From this information scientists could estimate the size of the trout population of the lake. What is the expected population of trout? How do you know?
Answer:
2083.33 trouts
Step-by-step explanation:
Total population of fish in the pond is unknown, therefore, let's us represent this using letter Z
The ratio of banded , caught and released trout to the total trout population is represented as 250 : Z
We can solve this type of problem with a proportion:
Total number of fishes that was tagged and caught/ Total number of fishes that was caught = Total number of tagged fishes in the pond/ Total number of fishes in the pond.
In the question, we were given this values:
Total number of banded trout's that was caught and released into the pond = 250
Total number of trouts that was caught and had bands in the lake= 30
Total number of trouts that was caught in the lake = 250
Total number of fishes in the pond = Z
Hence we have:
30/250 = 250/ Z
We cross mulitply
30× Z = 250 × 250
30Z = 62500
We divide both sides by 30
30Z/ 30 = 62500/30
Z = 2083.33
Therefore, the expected population of trout is 2083.33 trouts
Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what number did she add to both numerator and denominator of her original fraction
Answer:
17 is added to both numerator and denominator.
Step-by-step explanation:
Given:
Fraction = 1/10
New fraction = 2/3
Find:
Number added to both numerator and denominator.
Computation:
Assume,
a is added to both numerator and denominator.
[tex]\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17[/tex]
Therefore, 17 is added to both numerator and denominator.
The formula for area of a triangle is A = 0.5bh. The formula for the volume of a prism is V = Bh. What does the B in the right prism volume formula represent?
Answer:
B represents area of the right triangle
Step-by-step explanation:
Given;
Area of a triangle is A = 0.5bh
where;
b is the base of the triangle
h is the height of the triangle
Given, formula for the volume of a prism is V = Bh
For a right triangle prism, the formula for the volume is, V = Bh
Where;
B is the area of the right triangle
h is the height of the prism
Therefore, B represents area of the right triangle
5.345345... can be expressed as (fraction form)
Answer:
5.(345)=1,780/333
Step-by-step explanation:
5.(345)=(5,345-5)/999=5,340/999=1,780/333
The fraction corresponds to given decimal is 1780/333.
What is fraction form?
A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
What will be the fraction for the given decimal number?Let x=5.345
The repeating number is 345
Multiply both sides by 1000
1000x=5345.345
Subtract x=5.345 from the obtained equation,
999x=5340
Solve for x,
x=5340/999
x=1780/333
Therefore, the fraction corresponds to given decimal is 1780/333.
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Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.
The quadratic has one root with multiplicity 2 if the discriminant is 0, which is
[tex](2m+4)^2-4(4-m)(8m+1)[/tex]
(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)
Set the discriminant equal to 0 and solve for [tex]m[/tex]:
[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]
[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]
[tex]36m^2-108=0[/tex]
[tex]36m(m-3)=0[/tex]
[tex]\implies m=0\text{ or }m=3[/tex]
Please help me it’s really important for me
Answer:
1. B
2. A
3. B
4. ???
5. A
6 ???
7. I can't see it
Step-by-step explanation:
Tyra spent 4/5 of her money on gas for her car and 1/2 of the remainder on sandwiches. If she spent $9 on sandwiches, how much money did tyra have first
Answer:
The initial amount of money Tyra has is $90
Step-by-step explanation:
Let the initial money Tyra has be equal to y
She spent ⁴/₅ of her initial money on gas for her car = ⁴/₅ of y
She spent ¹/₂ of the remainder on sandwiches;
the remainder = 1 - ⁴/₅ = ¹/₅
¹/₂ of the remainder = ¹/₂ x ¹/₅ = ¹/₁₀
Thus, she spent ¹/₁₀ of her money on sandwiches = ¹/₁₀ of y
Amount she spent on sandwiches = $9 = ¹/₁₀ of y
[tex]\frac{y}{10} = \$ 9\\\\y = \$ 90[/tex]
Therefore, the initial amount of moneyTyra has is $90
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
Solve using substitution please help!!
I hope this helps you
2$ is what percent of $10
Answer:
20 %
Step-by-step explanation:
$10/100% $2/?
10/ what to get 2 so you do 10/5=2 so 100/5= 20.
8. Solve the inequality.
|x - 2|> 3
Answer:
x >5 or x < -1
Step-by-step explanation:
This has 2 solutions one positive and one negative
x-2 > 3 or x-2 < -3
Add 2 to each side
x-2+2 > 3+2 or x-2+2 < -3+2
x >5 or x < -1
20. John went school shopping for his son at the mall. A pair of jeans cost $24.99 and Jordan's
cost $120. If John bought his son 3 pair of jeans and 2 pair of Jordans, how much did he spend?
Answer:
314.97
Step-by-step explanation:
Last week norachi ran 40 miles less than trevon. Norachi ran 9 miles. How many miles did trevon run?
Answer:
trevon ran 49 miles
Step-by-step explanation:
9+40=49
Answer:
49 miles
Step-by-step explanation:
Norachi ran 40 miles less than Trevon.
So, Trevon ran 40 miles more than Norachi
Distance covered by Trevon = 40 +9 = 49 miles
Why would an engineer most likely use topography maps in his or her work?
to find an area used for camping
to define a political boundary line
to determine the best location for a new road
to find the ideal place to hike on a mountain
Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.
I hope this is helpful.
Answer:
B
Step-by-step explanation:
Which statements can be used to write an algebraic expression to represent the phrase? the quotient of a number and sixteen Check all that apply. Replace "a number" with a variable, like t. Quotient represents division. Quotient represents multiplication. The coefficient is 16. The correct algebraic expression is 16t. The correct algebraic expression is StartFraction t Over 16 EndFraction.
Answer:
t/16
•The correct algebraic expression is StartFraction t Over 16 EndFraction
Step-by-step explanation:
Quotient of a number and 16
Let the number=t
Quotient represent division
The expression can be written as t/16
•Replace "a number" with a variable, like t.
•Quotient represents division.
•The correct algebraic expression is StartFraction t Over 16 EndFraction
Answer:
t/16
•The correct algebraic expression is StartFraction t Over 16 EndFraction
Step-by-step explanation:
Quotient of a number and 16
Let the number=t
Quotient represent division
The expression can be written as t/16
•Replace "a number" with a variable, like t.
•Quotient represents division.
•The correct algebraic expression is StartFraction t Over 16 EndFraction
Give the other persn credit to :D
Jayden folded a 66cm strip of paper into 6 equal parts to model a honeycomb cell's. Each part was one side of the model. What is the length of one side of the model?
Answer:
11 cm
Step-by-step explanation:
The strip of paper is 66 cm and it is folded into 6 different parts. It is used to form a model of a honeycomb cell.
To find the length of one side of the model, all we have to do is divide 66 cm by 6. That is:
66 / 6 = 11 cm
The length of one side of the model is 11 cm.
Which number is a perfect square 249, 265, or 324?
Answer:
324
Step-by-step explanation:
A number is a perfect square when there are two factors that are identical to one another. 324 is a perfect square since its two identical factors are 18 and 18.
Answer:
324
Step-by-step explanation:
18*18. Hope that helped, vote, thanks, brainliest ;)
Have a great day!
The components of a position vector of a particle moving in the plane are [tex](t^3, 2sin(t))[/tex]
What is the distance traveled by the particle from t = 1 to t = π?
Answer:
30.113
Step-by-step explanation:
r(t) = (t³, 2 sin t)
The distance traveled is the length of the path (arc length):
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
L = ∫₁ᵖⁱ √((3t²)² + (2 cos t)²) dt
L = ∫₁ᵖⁱ √(9t⁴ + 4 cos²t) dt
Using a calculator:
L ≈ 30.113
Notice that distance is not the same as displacement. If we wanted to find the displacement:
r(π) = (π³, 0)
r(1) = (1, 2 sin 1)
Δr = √((π³ − 1)² + (0 − 2 sin 1)²)
Δr ≈ 30.053
how is the interquartile range calculated?
a) maximum minus minimum
b) quartile 3 (q3) minus median
c) quartile 3 (q3) minus quartile 1 (Q1)
d) median minus quartile 1 (Q1)
Mr.Cho made a two way table to describe members of his family.which could describe the row and column headings for Mr.Chos table
Answer:c
Step-by-step explanation:
Took test
When multiplying two negative integers what is the sign of the product positive negative zeroor one PLEASE. ANSWER.
Multiplying a negative number by a negative number will give you a positive product.
When multiplying two negative integers, it comes out as positive.
For example, we are given the equation -4 * -4.
Using the rule [ -(-a) = a ], the answer for the equation is 16.
Best of Luck!
Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
The vector v (-6, 6, -5) points in the direction of itself, so we start there.
We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.
The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is
r (t ) = p + t v
r (t ) = (-4, 5, 2) + t (-6, 6, -5)
r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )
To get the parametric equations, simply take out the components:
x (t ) = -4 - 6t
y (t ) = 5 + 6t
z (t ) = 2 - 5t
Out of the 12 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams
Answer:
The answer is 66 ways .
Step-by-step explanation:
You have to use Combination because it says choosing 10 out of 12 as the position is not important :
12C10 = 66 ways of arrangements
The number of different 10-person teams are 66.
What is Combination?A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.
We have out of the 12 girls who tried out for the softball team, 10 will be chosen for the team.
Using Combination
C(n, r) = n!/ r! (n- r)!
Here n = 12, r= 10
So, C(12, 10)= 12! / 10! (12- 10)!
= 12 x 11 x 10! / 10! x 2
= 6 x 11
= 66
There are 66 10-person teams.
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6.8x+9.3=-9.4+3.4(2-5x)
Answer:
x = -2.67
Step-by-step explanation:
6.8x + 9.3 = -9.4 + 3.4(-3x)
6.8x + 10.2x = -9.4 - 9.3
17x = -18.7
x = -2.67
Please Help it urgent
Answer:
Angle BEA
Step-by-step explanation:
They share the same straight line and their degrees add to 180
The slope field shown below is for the differential equation
y ' = 2x
y ' = 4 - 2x
y ' = y
y ' = x + y
Thank you in advance!
Answer:
y' = y
Step-by-step explanation:
The slopes are independent of x. So the only possible answer is y' = y.
A painter needs to have 24 gallons of paint that contains 30% solvent how many gallons of paint contain 20% solvent and how many gallons containing 60% solvent?
Answer:
18 gallons containing 20% solvent and 6 gallons containing 60% solvent
Step-by-step explanation:
the painter needs 24 gallons of paint containing 30% solvent = 7.2 gallons of solvent
let a = 20% solvent paint
let b = 60% solvent paint
a + b = 24
0.2a + 0.6b = 7.2
(replace a = 24 - b in the second equation)
a + b = 24
0.2(24 - b) + 0.6b = 7.2
4.8 - 0.2b + 0.6b = 7.2
0.4b = 7.2 - 4.8 = 2.4
b = 2.4 / 0.4 = 6
a = 24 - 6 = 18
