Darnell's constant speed, as determined by the solution, is 20 miles per hour.
What is the process of linear algebra?It covers linear transformations more broadly as well as vectors, matrices, and vector spaces. One area of mathematics is linear algebra. In comparison to other areas of mathematics that are frequently driven by innovative ideas and unresolved problems, linear algebra is a discipline that is very well understood.
According to the given information:Distance=8 miles
Time taken is=32 minutes
speed=distance/time
speed=15 miles/hour
Darnel has travelled a distance of 1.5x5/60=0.125 miles in under five minutes.
Hector bicycle speed = distance/time
hector speed of bike= 20 miles/hour
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A glass fish tank in the shape of a rectangular prism has a bace that measures 22 inches by 12 inches. Find the surface area if the height = 15 inches
Answer:
Surface Area = 2(22 x 15) + 2(12 x 15) + 2(22 x 12)
Surface Area = 660 + 360 + 528
Surface Area = 1,548 inches²
Step-by-step explanation:
Find the product using any method. (Need some help!!)
Answer:
2n^2-8n-24
Step-by-step explanation:
Uhm i just did this one with one of my classmates like 2-3 months ago so it just came to mind.
Hope this helped tho! :)
which of these decimal numbers is equivalent to 87?
0.87
8.70
87.00
870.0
Answer: if its 87% then its 0.87, but if its 87 then its 87.00
Step-by-step explanation: I'm doing these questions for a challenge :D
Find the total surface area of a cone with a base diameter of 7cm and height of 8cm
Answer: The formula for the surface area of a cone is S = π * r * s + π * r², where r is the radius of the base and s is the slant height of the cone.
To find the surface area of a cone, you first need to find the radius of the base. Since the base diameter is given as 7cm, you can divide this by 2 to find the radius of the base:
r = 7cm / 2 = 3.5cm
Next, you need to find the slant height of the cone. You can use the Pythagorean theorem to do this.
slant height = sqrt(r^2 + h^2) = sqrt(3.5² + 8²) = sqrt(12.25 + 64) = sqrt(76.25) = 8.766cm
Now you can substitute these values into the formula for the surface area of a cone and find the surface area of the cone.
S = π * r * s + π * r² = π * 3.5cm * 8.766cm + π * 3.5² cm² = 12.571 cm² + 38.485 cm² = 51.056 cm²
So the surface area of a cone with a base diameter of 7cm and height of 8cm is 51.056 cm²
Step-by-step explanation:
Pls help me with math
The correct expression to represent the similarity of these two triangles is,
21/35 = x/30.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know two triangles are similar if the ratio of their corresponding sides is equal.
Therefore, The correct way to represent the similarity is,
21/35 = x/30.
We can solve for x here,
35x = 21×30.
5x = 3×30.
x = 3×6.
x = 18.
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Find the total surface area of a cone of base diameter 7cm and height 8cm
The total surface area of a cone which has a base diameter of 7 cm and height of 8 cm is 126.5 cm ²
How to find the total surface area of a cone ?The total surface area of a cone can be found by the formula :
= (π x radius ²) + (π x radius x height )
Radius is half of diameter so :
= 7 / 2
= 3. 5 cm
The total surface area of the cone is;
= ( π x 3. 5 ²) + ( π x 3. 5 x 8)
= 38 . 5 + 88
= 126.5 cm ²
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you are running a marathon along a straight path. you are approaching mile marker 12 at a speed of 300 feet per minute. you are currently 1500 feet from mile marker 12. write an absolute value equation that models your distance in feet from mile marker 12 after x minutes
Therefore , the solution of the given problem of linear equation comes out to be 1200 = 400x.
What exactly is a linear equation?A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Given:
300 feet per minute
where x is the number of minutes,
The Y is 1200.
Thus,
Taking account of all the above information
We get,
This will give us an equation of 1200 = 400x
Therefore , the solution of the given problem of linear equation comes out to be 1200 = 400x.
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Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?
Answer:
Step-by-step explanation:
Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?
Solve 9x + 3 = -33 . PLEASE HELP ME IT WILL MAKE MY DAY
[tex] : \implies \sf 9x + 3 = - 33[/tex]
[tex] : \implies \sf 9x = - 33 - 3[/tex]
[tex] : \implies \sf 9x = - 36[/tex]
[tex] : \implies \sf x = \dfrac{ - 36}{9} = - 4[/tex]
[tex] \therefore \sf x = -4 [/tex]
Vanessa is building a storage chest in the shape of a rectangular prism. The chest will be 59 cm long, 47 cm deep, and 27 cm high.
What will the surface area of the chest be?
Surface Area Enter your next step here
cm2
Answer:
11270 cm2
Step-by-step explanation:
A = 2(wl+hl+hw)
= 2(47•59+27•59+27•47)
= 11270
How do you find the longest angle?
The longest angle is the straight line, or 180 degrees. To find it, draw two lines so that they form a straight line. Then measure the angle between the two lines using a protractor.
What is angle?Angle is a figure formed by two lines or rays intersecting each other. It is measured in degrees, and is generally represented by the symbol ∠. The lines or rays that form the angle can be extended indefinitely, and the angle can be either acute, obtuse, right, reflex, or full. An acute angle is one that is less than 90°, an obtuse angle is one that is greater than 90°, a right angle is one that is exactly 90°, a reflex angle is one that is greater than 180°, and a full angle is one that is 360°.
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Click on the assignment icon to receive a printout of this construction assignment. Do the assignment and be ready to give it to your teacher for grading if it is requested.
The Construction is shown below.
What is Perpendicular line?Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given:
a) Steps for perpendicular line:
To cross the line segment, draw two arcs.Create two more intersecting arcs.Connect the initial point to the intersection of the arcs.b) Perpendicular Bisector for triangle
Draw arcs with the same radius that are centered at X and Y by opening the compass more than halfway.These two arcs come together at two locations. They will be referred to as points P and Q.The line segment M, which is the perpendicular bisector of the line segment S, should be drawn by placing the ruler where the arcs meet (that is, by connecting points P and Q).we are going to proceed in the same way on all three sides of the triangle to draw its three perpendicular bisectors (Ma, Mb and Mc)So, if we extend the bisector they can meet inside, at center and outside the triangle.
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What is the area of the quadrilateral below?
15 m
4 m
O A. 30 square meters
OB. 45 square meters
C. 60 square meters
OD. 75 square meters
Answer:
C
Step-by-step explanation:
A = Base x height
Base = 15
height = 4
= 60 square meter
Answer:
it is c because all I did was algarithims so yes it would be c
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases. What does the 10 represent?
A)
The interest the savings account earned for the first year.
B)
The annual interest rate of the savings account.
C)
The number of years the savings account has earned interest.
D)
The starting balance of the savings account.
The 10 represent in the function f(x) = 10(1. 015)* shows the balance in a savings account as time increases is the starting balance of the savings account.
Therefore the answer is D) The starting balance of the savings account.
The compound interest formula is used to calculate the total interest earned on a principal amount over a period of time, where the interest is compounded at regular intervals. The formula is:
A = P(1 + r)^(t)
Where:
A is the final amount (principal + interest)
P is the principal (initial) amount
r is the annual interest rate (expressed as a decimal)
t is the number of years the money is invested or borrowed
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases.
So 10 represents the principal (initial) amount
0.014 represents the annual interest rate (expressed as a decimal)
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how many times bigger is b than c
Giving 30 points to who answers
Answer:
46
Step-by-step explanation:
Pls help me with solving systems of linear equations by elimination
Answer:
Step-by-step explanation:
A. 2x = -6
x = -3
3 + y = 5
y = 2
(-3, 2)
-9 - 2 = -11
-11 = -11
3 + 2 = 5
5 = 5
B. 4x + 2y = 1
6x + 4y = 1
-8x - 4y = -2
6x + 4y = 1
-2x = -1
x = 1/2
4(1/2) + 2y = 1
2 + 2y = 1
2y = -1
y = -1/2
-2(-1/2) + 3 = 4(1/2) + 2
1 + 3 = 2 + 2
4 = 4
6(1/2) + 4(-1/2) = 1
3 - 2 = 1
1 = 1
C.
-x + 32y = -25
4x + 8y = 100
-4x + 128y = -100
136y = 0
y = 0
-x = -25
x = 25
(25, 0)
32(0) - 25= -25
-25= -25
5(25) = 100 + 25 - 8(0)
125 = 125
D.
3x + 2y = 6
4x + 5y = -20
-12x - 8y = -24
12x + 15y = -60
7y = -84
y = -12
2(-12) + 3x = 6
-24 + 3x = 6
3x = 30
x = 10
(10, -12)
2(-12) + 3(10) = 6
-24 + 30 = 6
6 = 6
4(10) + 5(-12) + 20 = 0
40 - 60 + 20 = 0
-20 + 20 = 0
0 = 0
In ΔDEF, f = 5 cm, m∠E=79° and m∠F=75°. Find the length of d, to the nearest 10th of a centimeter.
Using sine and cosine rule, the length of d in the triangle is equal to 4.5cm
What is Sine RuleThe sine rule is a mathematical formula used to calculate the lengths of the sides and angles of any triangle when given two angles and one side or two sides and one angle. It is also known as the law of sines.
To find the length of d, we have to find the length of E.
Using sine rule;
f / sin F = e / sin E
5 / sin 75 = e / sin 79
e = 5sin79 / sin 75
e = 5.7cm
To find the length of d, we have to find the angle D by using the sum of angle theorem.
m∠ E + m∠ F + m∠ D = 180°
79 + 75 + m∠ D = 180
m∠ D = 180 - 154
m∠ D = 26°
Using cosine rule
d² = e² + f² - 2efCosD
d² = 5.7² + 5² - 2(5.7)(5)cos26
d² = 20.615598
d = √20.615598
d = 4.5cm
The length of side d is 4.5cm
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PLEASE HELP ME!! Will give branliest!! Pleaseee
Answer:
X:6.7
Y:17
Z:33
Step-by-step explanation:
Because their similar to each other, the corresponding angles are equal.
5y-3=82
5y=85
y=17
Angle J=angle M=z=180-82-65=33
3x-2=18.1
3x=20.1
x=6.7
Answer:
x = 6.7
y = 17
z = 33°
Step-by-step explanation:
To find x:
Because IJK≅LMN, you know that 3x-2 = 18.1
3x-2 = 18.1
Add 2 to both sides:
3x-2+2 = 18.1+2
3x = 20.1
Divide both sides by 3:
3x/3 = 20.1/3
x = 6.7
To find y:
5y-3 = 82
Add 3 to both sides:
5y-3+3 = 82+3
5y = 85
Divide both sides by 5:
5y/5 = 85/5
y = 17
To find z:
Because all triangles angles must add up to 180, find 180-82-65:
180-82-65 = 33 degrees
Because IJK≅LMN, z = 33 degrees
g(n)=-3n-4; Find g(-8)
Answer:
g(- 8) = 20
Step-by-step explanation:
substitute x = - 8 into g(x) , that is
g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20
cant find the anwer help
Answer:
Wouldn't it be 68,844? Because 12 divided by 3 = 4 and 17,211 x 4 is 68,844. I could be wrong but im sure that im right?
Answer in explanation:
I went over it and your answer seems correct, but the problem says 'how much money, in dollars'
There are 12 months in a year
3 x 4 = 12
17,211 x 4 = 68,844
you wrote 67.844 so possibly changing to a comma would help!
I hope this helps!
can somebody please tell me what is 2,880 as a percentage
Answer:
28.8 thats what i got
Step-by-step explanation
PLEASE ANSWER ITS IMPORTANT
X
1
2.
3
4
5
512
128
32
8
2.
g(x)
18
16
14
12
10
h
(x)
65
33
17
9
5
Complete each of the 2
activities for this Task.
Activity 1 of 2
Part A: Which of the functions
represents an exponential
function? Explain.
Activity 2 of 2
Part B: What’s is the average rate of change for the function h(x) over interval 2 <_ x _< 4? Show your work or explain how you found your answer.
Answer:
537474447474 75262293
Answer: f(x)
Step-by-step explanation: Part A:Its dividing by 4 each time
simplify the following algebraic expression 5x– 4у + 3y+8y – 7х
Answer:
-2x + 7yStep-by-step explanation:
Given,
5x– 4у + 3y+8y – 7х
[Bringing like terms together]
= 5x - 7x - 4y + 3y + 8y
[Adding and subtracting the like terms]
= - 2x + 7y (Ans)
can someone help me?
Answer:
Step-by-step explanation:
The solution is the point where the 2 lines intersect.
If they intersect where x = 1 and y = 2 the solution is (1, 2).
a plant normally sells $6.50. today all plants are discounted by 25%. What is the sale price of the plant ?
Answer:
100% -> 6.50
100 - 25 = 75
75% -> 6.50/100 x 75
= 4.875
≈ 4.88
Answer:
$4.875 or if rounded $4.88
Step-by-step explanation:
Hope this helped
also u just have to subtract 6.50 by 25%
Quantity (in lbs.) Value (per lb.) Total
Butterscotch x 2.15 2.15x
Peppermint y 2.35 2.35y
Mixture 10 2.20 22
Using the table, match the items in the following lists.
1 .
x
pounds of butterscotch candy
2 .
$2.35
pounds of peppermint candy
3 .
y
price per pound of butterscotch
4 .
$2.15
price per pound of mixture
5 .
$22.00
cost for ten pounds of mixture
6 .
$2.20
price per pound of peppermints
By using the table, each of the items in the lists should be matched as follows:
pounds of butterscotch candy: x.pounds of peppermint candy: y.price per pound of peppermint: $2.35.price per pound of butterscotch: $2.15.price per pound of mixture: $2.20.cost for ten pounds of mixture: $22.00.What is a proportion?In Mathematics, a proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.
Based on the information provided in the table, we can reasonably infer and logically deduce that the variable x represent pounds of butterscotch candy while the variable y represent pounds of peppermint candy.
Additionally, a system of equations that models the information provided in the table is given by;
x + y = 10.
2.15x + 2.35y = 22.00.
In conclusion, the total quantity of candies in pounds (lbs.) is equal to 10.
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Simplify.
3(x+4)
————-
Answer:
3x+12
Step-by-step explanation:
3*x = 3x
3*4 = 12
Answer:
3x+12
Step-by-step explanation:
3(x) + 3(4)
So then, the answer is 3x + 12
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Is 4x² 3x 7 a polynomial?
As all the exponents of x are whole numbers, the expression 4x² – 3x + 7 is a polynomial in one variable.
What is exponents?The exponent of a number shows how many times the original value of the number has been multiplied. For example, the number 34 indicates that we have multiplied three by four. 3 × 3 × 3 × 3 × 3 is its expanded form. Exponent is another term for a number's power. It might be a decimal, a fraction, a negative number, or a whole number.
Exponents are important because without them, writing the product when a number was repeated many times on its own would be very difficult. For example, it is much easier to write 57 than it is to write 5 × 5 × 5 × 5 × 5.
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