Answer:
The first part of the race was run at a rate of:
10 and 1/2 miles/hour
I how this help!
the correct answer is 3 7/8.
6. Find the value of x.
I 5x+ 2
6x + 4
122 - 4
H
J P
Step-by-step explanation:
sum of two interior angles is equal to one exterior angle....this implies that,
(6x+4) +(5x+2)= 12x-4
11x+6=12x-4.......make X the subject
11x-12x=-4-6
-x= -10......divide both sides by -1
x=10
(HURRY) A tank is filled with 100 gallons of water. The volume of water decreases by 10 gallons every hour.
Which equation represents this situation if V represents the volume of water left in the tank in gallons and represents the time in hours?
Answer:
100 - 10x = v
Step-by-step explanation:
Plan-
100 gallons of water to startthen -10 gallons per hourfind vSteps
\(100-10x\) = V
(x repersents the hours)
the two lines below are perpindicular . If the slope of the red line is 1/2, what is the slope of the green line
If the two lines are perpendicular, then their slopes are negative reciprocals of each other. This means that if the slope of the red line is 1/2, the slope of the green line will be -2 (since (-2) x (1/2) = -1, the negative reciprocal).
To understand why this is true, we can imagine the two lines intersecting at a right angle. The slope of the red line represents how much the line rises for every unit it moves to the right (since slope = rise/run). If we draw a right triangle using the red line as the hypotenuse, the rise of the triangle would be half of the run (since the slope is 1/2).
Now, if we draw a line perpendicular to the red line (i.e. the green line), it will create another right triangle. The slope of the green line represents how much the line rises for every unit it moves to the right. Since the green line is perpendicular to the red line, it will have the opposite reciprocal slope. This means that the rise of the triangle for the green line will be twice the run (since the slope is -2).
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Please help I’ll give brainlieast
Convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).
fl. oz.
Can yall plz help me answer this!!!
Answer:
k = 2.5
Step-by-step explanation:
So we start off with: 2.5(4k+2) = 12k
Let's first distribute.
10k + 5 = 12k
Now let's subtract 10k from both sides.
5 = 2k
Now let's divide both sides by 2.
2.5 = k
The vector with norm 2, and withdirection opposite to the direction of a =i+3j−4k
is:
(a) −2/√26 (i +3j − 4k)
(b) −2(i+ 3j −4 k)
(c) 2/√26(i +3j − 4k)
(d) 2(i +3j − 4k)
(e) None of theabove
The vector with norm 2 and the direction opposite to vector a is option (a) -2/√26 (i + 3j - 4k).
To find the vector with norm 2 and with a direction opposite to the direction of a= i+3j-4k, we need to normalize the given vector a, as the direction of vector a is known. The formula for normalizing the vector a is as follows;
Normalization of vector a = a / ||a||
where ||a|| is the norm of vector a.
Now, ||a|| = √(1^2 + 3^2 + (-4)^2)
=√(1 + 9 + 16)
= √(26)
Normalization of vector a = a / √(26)
Normalized vector of a = a / ||a||= (i + 3j - 4k) / √(26)
As the required vector is opposite to the direction of a, multiply the normalized vector with -2, so the vector will point in the opposite direction.
Now, Required vector = -2 * Normalized vector of a
= -2/√(26) (i + 3j - 4k)
Hence, option (a) is the correct answer: -2/√26 (i +3j − 4k)
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Mr Nelson paid $3.84 tax he pay the sales tax rate of 8% how much was item he was buying before sales tax was added
Answer:
Mr. Nelson paid $48 befor tax.
Step-by-step explanation:
Let x be the price of the item before tax.
108 % * x - x = 3.84 (the tax itself)
27/25x - x = 3.84
2/25 x = 3.84
x = 48
A counterexample for the expression sin(y)*tan(y)= cos(y) is 0 degrees
Actually, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y).
To see why, let's substitute y = 0 degrees into the expression:
sin(y)*tan(y) = cos(y)
sin(0)*tan(0) = cos(0)
0*tan(0) = 1
0 = 1
As we can see, the equation does not hold for y = 0 degrees. However, this does not make 0 degrees a counterexample, because 0 degrees is not in the domain of the tangent function.
The tangent function is undefined at odd multiples of 90 degrees (e.g. 90, 270, etc.), because at those angles the denominator of the tangent function becomes zero. Therefore, we cannot substitute y = 0 degrees into the expression sin(y)*tan(y) = cos(y), because it would result in division by zero.
In summary, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y), because it is not in the domain of the tangent function.
What is the product of 5-2i and 3-4i in standers form
Answer:
7 -26i
Step-by-step explanation:
Did the math
Change a speed of 630 kilometres per hour to a speed in metres per second. Show your working
Answer:
1750 m/s
Step-by-step explanation:
1km = 1000m
1 hour = 60 minutes = 3600 seconds
( 630 * 1000 )/ (60 * 60)
= 1750 m/s
Rugged cabin co. provides pre-made materials to build cabins. to ensure materials are in supply and ready for quick delivery, the company offers cabins in only three sizes. each cabin has rectangular floor plan where the length is equal to 5 feet more than twice the width. which expression represents the area, in square feet, for each cabin size?
A. 2w^2 + 5w, where w is the width
B. 2w^2 + 5, where w is the width
C. 2w^2, where w is the width
D. 10w^2 + 5 w, where w is the width
The expression 5w + 2w² represents the area, in square feet, for each cabin size
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
Area of a rectangle = length * width = l*w
length is equal to 5 feet more than twice the width.
=> l= 5+2w
So, area = ( 5+2w ) *w
= 5w + 2w²
Thus, the expression 5w + 2w² represents the area, in square feet, for each cabin size
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-1 and 3 1/2 and 1.5 least to greatest
Answer: -1, 1.5, 3 1/12
Step-by-step explanation: I was tested on these type of questions
What is 2 9/12×6=.........
Step-by-step explanation:
2 9/12×6=(2×12+9)/12×6=33×6/12=33/2=16.5is answer
Help plssss nobody helps me 100 pt
Answer: I agree
Step-by-step explanation:
He right i came too late lol
The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.
What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?
$60
$80
$90
$100
Answer:
80
Step-by-step explanation:
I = Prt
I = 40 R = .10 T = 5
40 = P (.10)(5)
40 = P(.5)
Divide each side by .5
40/.5 = .5P/.5
80 = P
The interest over 5 years is $80.
The correct option is B.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.
We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:
40 = P(0.10)(5)
Simplifying:
40 = 0.5P
Dividing both sides by 0.5:
P = 80
Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.
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Anyone know this try and help out
Answer:
The answer is 35.2
Step-by-step explanation: your welcome
Write 7 Times Square root 7 as a single power of 7
Answer:
7 to the power of 3/2
Step-by-step explanation:
7 is the same as 7¹ and \(\sqrt{7}\) is the same as 7 to the power of 1/2
since the bases are both 7, we keep the base and add the exponents when we multiply with exponents, giving us:
7 to the power of 3/2
A pound of swiss cheese costs $4.00 at the grocery store. Use the
fact that 16 ounces = 1 pound to help you find the cost of 5/6 pound
of swiss cheese.
Which of the following is a geometric sequence?A. -5,0,10,25,45B. 1,2,4,8,16C.-3,1,5,9D. 4,8,24,96,480
Solution:
We are required to determine which is a geometric sequence.
Firstly, let us look at what a Geometric sequence is .
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
In summary, a Geometric sequence has a common ratio.
Let us take a look at the options one after the other
A. -5,0,10,25,45
\(\begin{gathered} \frac{0}{5}\text{ = 0} \\ \\ \frac{10}{0}=\infty \\ there\text{ is no common ratio here, hence it is not a Geometric sequence} \end{gathered}\)B. 1,2,4,8,16
\(\begin{gathered} \frac{2}{1}=2 \\ \\ \frac{4}{2}=2 \\ \\ \frac{8}{4}=2 \\ \\ \frac{16}{8}=2 \\ We\text{ can see that this sequence has a common ratio of 2, hence it is a geometric sequence} \end{gathered}\)C.-3,1,5,9
\(\begin{gathered} \frac{1}{-3}=-\frac{1}{3} \\ \\ \frac{5}{1}=5 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)D. 4,8,24,96,480
\(\begin{gathered} \frac{8}{4}=2 \\ \frac{24}{8}=3 \\ There\text{ is no common ratio here, hence it is not a geometric sequence} \end{gathered}\)Thus, the answer is B. 1,2,4,8,16
Find the value of x,y and z
Answer:
x = 95°
y = 40°
z = 95°
Step-by-step explanation:
a = 45° (Vertical angles)y = 40° (corresponding angles)z = 180° - (45° + 40°) (Interior angle sum theorem of a triangle)-> z = 180° - 85°-> z = 95°x = z (vertical angles)-> x = 95°which one of these numbers could form a triangle?
Answer: non of those numbers
Step-by-step explanation:
all the numbers couldn't form a triangle
HI I REALLY NEED HEP PLEASEE
Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.
I do not understand the first
Answer:
√121 - rational
√2 - irrational
π - irrational
√50 - rational
1.3 - rational
3/7 - rational
0.27 - rational
Step-by-step explanation:
A number is considered rational if it can be written as the ratio of two integers (i.e., a fraction), and it is considered irrational if it cannot be written as a ratio of two integers. In the given list, √121, √50, and 1.3 are all rational numbers because they can be written as fractions (√121 = 11/3, √50 = 5/2, and 1.3 = 13/10), while √2, π, and 0.27 are irrational numbers because they cannot be written as fractions. Note that 3/7 is also a rational number because it is a fraction with an integer numerator and an integer denominator.
i’ll give brainliest if you give a correct answer.
Answer:
3.391
Step-by-step explanation:
If this answer helped you then please consider marking this as brainliest and like this respone :)
\( \\ \)
Answer :\( \tt \dashrightarrow 8.47 - 5.079 = \dfrac{847}{100} - \dfrac{5079}{1000}\)
\( \tt \dashrightarrow 8.47 - 5.079 = \dfrac{8470}{1000} - \dfrac{5079}{1000}\)
\( \tt \dashrightarrow 8.47 - 5.079 = \dfrac{8470 - 5079}{1000}\)
\( \tt \dashrightarrow 8.47 - 5.079 = \dfrac{3391}{1000}\)
\( \tt \dashrightarrow 8.47 - 5.079 = 3.391\)
\( \\ \)
Hence, correct answer is 3.391.
No rush on this one:)
The price of a shirt decreases by 13$. Which integer represents the decrease in the shirt’s price?
Answer:
-13
Step-by-step explanation:
-13 since it's going down in price
please help !! ed 2020-2021 question trig
Answer:
huh cant see the pic
Step-by-step explanation:
the diagram represents a sports ground. the bends are semicircle. calculate the area of the sports ground. give your answer correct to the nearest square metre
Answer:
8,163 square meter
Step-by-step explanation:
The area of the sports ground = area of rectangle + 2(area of semicircles)
= L*W + 2(½*πr²)
L = 120 m
W = 51 m
r = ½ of 51 = 25.5 m
Plug in the values
Area of the sports ground = 120*51 + 2(½*π*25.5²)
Area = 6,120 + 2,042.82062
Area = 8,162.82062 ≈ 8,163 square meter
Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!
Answer:
309.12
Step-by-step explanation:
A = total amount
P = principal
r = interest rate
n = number of times interest is compounded
t = time (in years
A = P(1 + \(\frac{r}{n}\))^nt
A = 300(1 + \(\frac{.03}{12}\))^12 · 1
A = 300(1.0304)
A = 309.12
Answer:
408
Step-by-step explanation:
Awnsered all correctly gets a Brainily and a like
-2/3+(-4/5=
1 7/16 - 1/2=
3/4•2/9=
3/7•7/6=
8/7•3/4=
5/2•4/15=
12/13 Divide 12/13=
9/10 Divide 4/5=
2/6 Divide 5/3=
10 Divide 5/3
Answer:
2/1515/161/61/26/72/31 9/81/56Step-by-step explanation:
-2/3 + (4/5) = 2/151 7/16 - 1/2 = 15/163/4 • 2/9 = 1/63/7 • 7/6 = 1/28/7 • 3/4 = 6/75/2 • 4/15 = 2/312/13 Divide 12/13 = 1 9/10 Divide 4/5 = 9/82/6 Divide 5/3 = 1/510 Divide 5/3 = 6Answer:
2/15 15/16 1/6 1/2 6/7 2/3 1 9/8 1/5 6