Answer: r8
Step-by-step explanation:
The square root of r⁶⁴ is r³².
Here, we have,
The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.
Square root of r⁶⁴:
√(r⁶⁴)
Since the exponent is even (64), we can divide it by 2:
√(r⁶⁴⁻²)
√(r³²)
Therefore, the square root of r⁶⁴ is r³².
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As a farmer, one of your responsibilities is to plow the field to prepare it for planting. On day 1, you plowed of the field. On day 2, you plowed of the field.
How much more of the field did you plow on day 1 than on day 2?
a.1/16
b.1/12
c.5/24
d.13/24
Answer:
you plowed more of the field on day 2 than on day one because minus equals
Step-by-step explanation:
A DVD normally costs $22. This week it is on sale for 25% off the original price. What is the sale price of the DVD?
Answer:
$16.5
Step-by-step explanation:
25 % of 22 is 5.5
22 - 5.5 = 16.5
The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.
Given that the original price of a DVD is $22, that means the cost of the DVD is $22.
This week the sale on the original price of a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.
Here, calculate the discount on the original price of a DVD.
\(Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5\)
The discount is $5.5 on the original price of a DVD.
Therefore, the sale price of a DVD on this week after the discount:
\(Sale\ price= \$22-$5.5\\Sale\ price=\$16.5\)
Thus, the sale price of a DVD is $16.5.
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Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
how am i supposed to prove that theyre collinear
Answer:
They are collinear if they are on the same line
Do You Understand?
D
4.
1. Essential Question How does an equation
show the relationship between variables and
other quantities in a situation?
Answer:
An equation is basically a way to show a relationship of variables (x,y,a,b, etc) and numbers.
Step-by-step explanation:
Answer:
Shown by explanation.
Step-by-step explanation:
An equation shows a relationship between variables and other factors by defining the variables that are dependent and independent and how these dependent variables are related to the independent variables, this is usually as a result of a prescribed experiment where the relationship of this variables are investigated.
Also remember conditions that favour this experiment must be taken into consideration. And the experiment must always be performed under such conditions.
Can someone please help me like fast??
(q2) A civil engineer wants to find out the length of a rod which stretches for 1 meter and can be given by the function x=2y^((3)/(2)) Find the length of the rod.
The Length of the rod is 3/5 meters.
The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).
To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,
we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,
we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.
Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,
we have:x = 2/5 y^(5/2) + 3/5
The length of the rod is given by the value of x when y = 1. Substituting y = 1,
we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5
The length of the rod is 3/5 meters.
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express 7/14 as repeating decimal
Answer:
0.500000
Step-by-step explanation:
Answer:
It is non repeating
Step-by-step explanation:
Sarah negotiated a price of $25,290.00 for a new Toyota Camry Hybrid Sedan. She is prepared to give a down payment of 13%. Her credit union offered her a 4-year amortized loan for the remaining amount at a rate of 1.75%.
How much money will be paid in interest?
How much will the car cost, in total?
Answer: D
Step-by-step explanation:
The length of a rectangular poster is 5 more inches than half its width. The area of the poster is 12 square inches. Solve for the dimensions (length and width) of the poster.
The dimensions (length and width) of the poster are 6 inches and 2 inches
How to determine the dimensions (length and width) of the poster?Represent the length with x and the width with y
From the question, we have the following parameters
x = 5 + 0.5y
Area, A = 12
The area of a rectangle is represented as:
A = xy
Substitute the known values in the above equation
(5 + 0.5y) * y = 12
Expand the bracket
5y + 0.5y^2 = 12
Multiply through by 2
10y + y^2 = 24
Rewrite as:
y^2 + 10y - 24 = 0
Expand
y^2 + 12y - 2y - 24 = 0
Factorize the expression
(y - 2)(y + 12) = 0
Solve for y
y = 2 or y = -12
The dimension cannot be negative.
So, we have
y = 2
Substitute y = 2 in x = 5 + 0.5y
x = 5 + 0.5 * 2
Evaluate
x = 6
Hence, the dimensions (length and width) of the poster are 6 inches and 2 inches
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Question 7
1 Point
The manufacturing of a new fad kid's toy costs y = 0.3x+7,200 and the revenue from sales of the new toy is
y = 1.2x where y is measured in dollars and x is the number of toys. Find the break-even point for the toys.
The break-even point for the toys is 8000
How to find the break-even point for the toys?The equations are given as:
Cost function of the toys => y = 0.3x + 7200
Residual function => y = 1.2x
The break-even point for the toys is the point where the cost and the residual are equal.
So, we have
1.2x = 0.3x 7200
Subtract 0.3x from both sides of the equation
0.9x = 7200
Divide both sides by 0.9
x = 8000
Hence, the break-even point for the toys is 8000
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HELP ASAP PLS AND USE THE ANSWERS GIVEN!
Simplify the expression.
negative 15 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 3 squared minus 4 and 7 tenths
−13.16
−9.89
0.49
20.11
The value of the given Fraction expression is -6.93.
What is Fraction?
A fraction is a mathematical expression that represents the division of a whole number or quantity into parts. It is written as two separate numbers, a numerator and a denominator, separated by a slash. The numerator represents the number of parts being considered, and the denominator represents the total number of parts. Additionally, fractions can also represent parts of a whole number. For example, the fraction 1/2 represents one part of a whole number that has been divided into two equal parts. Fractions can also be combined to create a sum of parts.
So, we have
-15 - 3.7 + 9.15/5 * 3^2 - 4.7
Evaluate the quotient and the exponent
So, we have
-15 - 3.7 + 1.83 * 9 - 4.7
Evaluate the product
-15 - 3.7 + 16.47 - 4.7
Evaluate the sum and the difference
-6.93
Hence, the value of the given fraction expression is -6.93 (none of the options is correct)
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Identify the function shown in this graph.
A.y=-x+3
B. y=-5x + 3
C. y=-5x-3
D. y = 5x - 3
4 number lines. Graph A goes from 95 to 100. An open circle is at 98 and everything to the right is shaded. Graph B goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the right is shaded. Graph C goes from negative 100 to negative 95. An open circle is at negative 98 and everything to the left is shaded. Graph D goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the left is shaded.
Which graph is the solution to the inequality?
y - 13 > -85
13 < -85 + y
y + 13 < -85
Answer:
B A C
Step-by-step explanation:
It is what it is
Answer:
4 number lines. Graph A goes from 95 to 100. An open circle is at 98 and everything to the right is shaded. Graph B goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the right is shaded. Graph C goes from negative 100 to negative 95. An open circle is at negative 98 and everything to the left is shaded. Graph D goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the left is shaded.
Which graph is the solution to the inequality?
y - 13 > -85
✔ B13 < -85 + y
✔ Ay + 13 < -85
✔ CStep-by-step explanation: edgunity!
hope this helps! :)
The vertex of the parabola would be located at which coordinates
-6,3
6,3
3,-6
3,6
\(y = 4 {(x - 6)}^{2} + 3\)
Vertex Form\(y = a {(x - h)}^{2} + k\)
where a-term determines how wide/narrow/upward or downward of the graph.
h-term determines the changes of graph for x-axis
k-term determines the changes of graph for y-axis.
The vertex of parabola is at (h,k).
\(y = 4 {(x - ( + 6)})^{2} + ( + 3)\)
Therefore, h = 6 and k = 3.
Answer\( \large \boxed{(6,3)}\)
Factor the expression.
Need help
You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 3 out of 20 times. What is the experimental
probability that the next marble will be red?
Answer:
\(P(Red) = \frac{3}{20}\)
Step-by-step explanation:
Given
\(Red = 3\)
\(Trials = 20\)
Required
Determine the experimental probability of next marble being red
This is calculated as:
\(P(Red) = \frac{n(Red)}{Trials}\)
Substitute values for n(Red) and Trials
\(P(Red) = \frac{3}{20}\)
Which expression is equival 81 1/3?
Answer: 3^3 Square root 3
Step-by-step explanation:
what does descendant mean
Answer:
a person, plant, or animal that is descended from a particular ancestor.
8.
Identify the point corresponding to Q.
A. Q′ (−4, 1)
B. Q′ (−1, −4)
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Answer:
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
ANSWER ASAP, THANKS!
Answer:
-3
Step-by-step explanation:
En la tira están escritos los números de 1 a 40. Corta la tira en pedazos, de tal forma gue en cada uno de ellos queden a lo más dos números primos , Icośntos contes hiciste
Se debe realizar 6 cortes sobre la tira.
Una Tira es una pieza de papel cuya longitud es mucho mayor que su anchura. Un Número Primo es un Número Natural que solo es divisible por 1 y por sí mismo, mientras que un Número Compuesto se compone de Números Primos y es divisible además por otros números, tanto Primos como Compuestos.
Realizamos el ejercicio siguiendo las siguientes consideraciones:
1) Escribimos los primeros 40 Números Naturales en orden ascendente.
2) El primer número del primer segmento de tira es el 1 y contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.
3) El resto de segmentos de tira comienza con un Número Primo, contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.
Los números primos entre 1 y 40 son 3, 5, 7, 11, 13, 17, 19, 21, 23, 29, 31, 33, 37.
Los segmentos de tira son los siguientes:
1) 1, 2, 3, 4 (1 número primo)
2) 5, 6, 7, 8, 9, 10 (2 números primos)
3) 11, 12, 13, 14, 15, 16 (2 números primos)
4) 17, 18, 19, 20 (2 números primos)
5) 21, 22, 23, 24, 25, 26, 27,28 (2 números primos)
6) 29, 30, 31, 32 (2 números primos)
7) 33, 34, 35, 36, 37, 38, 39, 40 (2 números primos)
El número de cortes (\(n\)) se determina mediante la siguiente fórmula:
\(n = s - 1\) (1)
Donde \(s\) es el número de segmentos de tiras.
Si sabemos que hay 7 segmentos de tiras, entonces se debe realizar 6 cortes.
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1. Inte the size of angle Mae a fraction, Then we decimal rounded to the 8-20
In the given right triangle LMN
N is the right angle, then LM is the hypotenuse
For angle M
The opposite side to it is LN
Then
\(\sin M=\frac{LN}{LM}\)LN = 8 and LM = 10
\(\sin M=\frac{8}{10}=\frac{4}{5}\)The adjacent side is NM
\(\cos M=\frac{NM}{LM}\)NM = 5 and LM = 10
\(\cos M=\frac{5}{10}=\frac{1}{2}\)For angle L
The opposite side is MN
\(\sin L=\frac{MN}{LM}\)\(\sin L=\frac{5}{10}=\frac{1}{2}\)The adjacent side is LN
\(\cos L=\frac{LN}{LM}\)\(\cos L=\frac{8}{10}=\frac{4}{5}\)From the answers above
Sin M = 4/5 and cos L = 4/5, then
5) sin M is equal to cos L
and also cos M = sin L
How many different possible outcomes are there if you spin 2 spinners labeled Red, Blue, Yellow, Green?
Answer:
4
Step-by-step explanation:
Answer:16
Step-by-step explanation:4^2
PLEASE HELP mathematics
Answer:
21+10.5 which would equal 31.5
Step-by-step explanation:
Answer:
21+10.5 which would equal 31.5
Step-by-step explanation:
I need help with this, please
none of the above
Step-by-step explanation:
SSS - only two legs are defined so this doesn't apply
SAS - the two legs of one triangle are not proportional to the legs of the other triangle.
AA - only one angle is defined to be congruent to the other (the rule requires two)
Find the slope of the line for the angle.
330 degrees
Which of the number lines is the correct graph for the inequality x ≥ 9?
Answer:
graph D.
Step-by-step explanation:
The inequality that is being shown in the question means that the value of x is equal to or greater than 9. Greater values are represented as all of the values to the right of a certain number. On a number line "equal to" is represented by a closed circle. Therefore, with this knowledge we can see that out of all of the provided options the only one that follows these set of rules would be graph D.
Solve the following equation. 2(y +4) = 3(2y -4) SHOW YOUR WORK
Answer:
y = 5
Step-by-step explanation:
2(y + 4) = 3(2y - 4)
2y + 8 = 6y - 12
-4y = -20
y = 5
2ℓ + 2w for ℓ = 5.7 and w = 6.2.
Answer:
6.2
Step-by-step explanation:
Answer:
The answer to this problem is 6.2
Step-by-step explanation:
The Algebraic expression is a 2ℓ+2w for ℓ= 5.7 and w = 6.2