Answer:
The unit digit of the square of 572 is 4Step-by-step explanation:
In this problem, we are expected to tell what number is at the unit position of the square of 572.
firstly, what is the square of 572.
this is gotten as = 572^2
=572*572
=327184
from the result, the value at the unit position is 4
The unit digit of the square of 572 is 4
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is
shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²
= √1 + 4
= √5
-
What error, if any, did Heather make?
A. She substituted incorrectly into the distance formula.
B. She subtracted the coordinates instead of adding them.
C. She made a sign error when simplifying inside the radical.
OD. She made no errors.
The distance between points R and S is \(\sqrt{ (185)\). The correct answer is D. She made no errors.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²= √1 + 4
= √5
The error is with the order of subtraction in the formula for the distance between two points.
Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.
The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;
dAB = \(\sqrt{ ((x^2 - x1)^2 + (y2 - y1)^2)\)
Comparing the given question with the formula above, we have;
A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.
Therefore, we have;
RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)
On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS
= \(\sqrt{ (8^2 + 11^2)RS\)
= \(\sqrt{ (64 + 121)RS\)
= \(\sqrt{ (185)\)
Therefore, the distance between points R and S is \(\sqrt{ (185)\).
From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.
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Your friend Kaipo is having some trouble plotting points on the coordinate plane. He thinks that he should plot the ordered pair (5,-8) by starting at the origin and counting 5 units up and 8 units to
the left. Help Kaipo understand the error in his thinking.
By using coordinate system of graph plotting, it can be obtained that Kaipo actually thought about plotting (-8, 5).
What is a coordinate system?
To locate the position of a point on the graph, coordinate system is used.
A set of two perpendicular axes on a graph divides the graph into four quadrants. Intersection of two axes is the origin. The left part of horizontal axis and top part of vertical axis from the origin is positive and the other parts are negative. A coordinate of a point is in the form of ordered pair. The first value is the value on the horizontal axis and the second value is the value on the vertical axis.
The first value of the coordinate is the value on the horizontal axis and the second value of the coordinate is the value on the vertical axis.
To plot (5, -8), it is required to move 5 units to the right from the origin and then move down 8 units.
Kaipo just did the opposite. He actually thought about plotting (-8, 5).
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A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 7 miles away from milepost 58. If m is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?
Answer:
Step-by-step explanation:
The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:
m = 58 + 7
This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.
In a given year, 1,791,408 males and 1,785,070 females were born in a certain country. If a child is selected randomly from this group, what is the probability that it is female?The probability is?
The formula for a probability is given by the next from:
\(P=\frac{\#\text{ number of favorable outcomes}}{Total\text{\# of posible outcomes}}\)We need to find the probability that by randomly selecting a child, the result will be a female.
The sample is:
1,791,408 males
1,785,070 females
Hence, there are 1,791,408 +1,785,070 = 3,576,478 total children.
Replacing on the formula:
\(P=\frac{1,785,070}{3,576,478}=0.499113\)Therefore, the probability is given by 0.499113...
Rounded to the nearest tenth:
P=0.5
Please help Ill give brainliest
Answer:
2. 13
4. 18
6. 14
Step-by-step explanation:
2. (5 x 2/5) = 2
20/2=10
10+3 = 13
4. (6/2+8) = 11
2 x 11 = 22
22-4 = 18
6. (8-2/2) = 7
21/3 = 7
7 + 7 = 14
Answer:
13, 18, 14
Step-by-step explanation:
HELPPPPPPP MEEEEEEEEEEEE
Answer:
your answer is b 32/4=8
Step-by-step explanation:
if you take the groups of 4 and count them up it is 32 and then you divide them in to equal groups and it is 8 groups of 4
hope this helped
:)
PLEASE HELPP ASAPAPPP <33
Answer:
2/3
Step-by-step explanation:
Do you need an explanation?
by how much is 68,72,526 less than a crore?
Answer:
10000000 - 6872536 = 3127474
Hence 68,72,536 is 31,27,474 less than 1,00,00,000.
Which estimated solution is closest to the actual solution shown in the graph?
Question 7 options:
(3,3)
(6,1)
(0,2)
(4,5)
(7,7)
(4,3)
(2,4)
Answer:
(7) (2, 4)
Step-by-step explanation:
You want to know which of the offered points is closest to the point of intersection of the two graphed lines.
SolutionThe point of intersection can be read from the graph as approximately (2 1/3, 3 3/4). The nearest grid intersection to that point is (2, 4), which is the last point on the list of choices.
(2, 4) is closest to the actual solution
__
Additional comment
You can see this, too, by graphing the offered choices. There are none closer than (2, 4).
GHK has been reflected over what line to create the resulting image?
Answer: y=x
Step-by-step explanation:
0.000549 in scientific notation
Answer: 5.49 × 10-4
Step-by-step explanation:
When you move the decimal over move it over to the right by 4 units.
When you move right it is (-) negative. So you get 5.49 x 10-4.
what is the area of the figure
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
Please help me with this question.
The value of k that makes that quadratic equation x² - 5kx + 1 never negative is given as follows:
-2/5 ≤ k ≤ 2/5.
What is the discriminant of a quadratic equation?A quadratic equation is defined as follows:
y = ax² + bx + c.
The discriminant of the quadratic function is given as follows:
Δ = b² - 4ac.
The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:
Δ > 0: two real solutions.Δ = 0: one real solution.Δ < 0: two complex solutions.For this problem, the coefficients are given as follows:
a = 1, b = -5k, c = 1.
The quadratic function, with c positive, will be greater than or equals to zero if it has at most one real solution, hence the condition is:
Δ ≤ 0.
Hence:
(-5k)² - 4(1)(1) ≤ 0
25k² - 4 ≤ 0.
25k² ≤ 4
k² ≤ 4/25
|k| ≤ 2/5 -> applying the square root.
Hence the interval is:
-2/5 ≤ k ≤ 2/5.
Missing InformationThe problem asks for the value of k that makes that quadratic equation x² - 5kx + 1 never negative.
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You roll a die 4 times. What is the probability of rolling a 3 on all 4 times?
A.1/216
B.1/6
C.4/6
D.1/1296
Answer:
to find a probability,we need to follow the rule
P/n
p=1
n=6
=1/6
Lihle is going to bake some vanilla cupcakes that she wants to sell to raise money for charity. Use the recipe below to answer the questions that follow. VANILLA CUPCAKES Ingredients 185g butter 220g castor sugar 3 extra-large eggs 3ml vanilla essence 80ml water 80ml milk 300g cake flour 20ml baking powder Butter Icing 80g butter 115g icing sugar 15ml boiling water 1 tub vermicelli for garnishing MAKES 24 CUPCAKES 1.1.1. Lihle does not have a measuring spoon so she decides to use a teaspoon. How many teaspoons (5ml) of baking powder does Lihle need for one batch of cupcakes? (2)
Identify any vertical or horizontal asymptotes of the function: f(x) = x-2/ 5x^2 + 5x
B=5 b+(bx2x3)-5 plz help
Answer:
Step-by-step explanation:
12
Question 5 of 10 Which of the following can you determine, when you use deduction and start from a given set of rules and conditions? O A. None of these O B. What must be true C. What may be true D. What may be false
REFUGEES BOOK HELP ME Compare and contrast Isabel's point of view on leaving Cuba to that of her grandfather, Lito's. How do their opposing view cause tension in the story?
Missy is wrapping a gift for her sister's birthday in a box with the dimensions shown.
17.5 in.
4 in.
10 in.
What is the minimum amount of wrapping paper she will need to completely cover the box?
Missy will need a minimum of 570 square inches of wrapping paper to completely cover the box.
To calculate the minimum amount of wrapping paper needed to cover the box, we need to find the surface area of the box.
A rectangular box has six sides: a top, a bottom, two sides, and two ends.
The top and bottom sides have the same dimensions, which are 17.5 inches by 10 inches. So each of these sides has an area of 17.5 in × 10 in = 175 square inches.
The two side surfaces also have the same dimensions, which are 17.5 inches by 4 inches.
Each of these sides has an area of 17.5 in × 4 in = 70 square inches.
The two end surfaces have the same dimensions, which are 10 inches by 4 inches. Each of these sides has an area of 10 in × 4 in = 40 square inches.
To find the total surface area of the box, we add up the areas of all six sides:
175 in² (top) + 175 in² (bottom) + 70 in² (side 1) + 70 in² (side 2) + 40 in² (end 1) + 40 in² (end 2)
Total surface area = 570 in².
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what would be the answer to this (9-3×2)²
144?
9
Step-by-step explanation:
PEMDAS
inside parentheses we have 3*2 = 6
9-6 =3
3^2 = 9
The ages of members of a stamp collecting group are normally distributed with a mean of 56 years and a standard deviation of 3 years there are 82 members in the group about how many members are expected to be between 53 years old and 59 years old
Answer:
all of them
Step-by-step explanation: Because the age bracket id between 56 and 59.
can someone please do this
draw the triangle and label all the things provided
show work
The length of m is 15.6 cm.
What are angles?A point where two lines meet produces an angle.
The breadth of the "opening" between these two rays is referred to as a "angle". It is depicted by the figure.
Radians, a unit of circularity or rotation, and degrees are two common units used to describe angles.
By connecting two rays at their ends, one can make an angle in geometry. The sides or limbs of the angle are what are meant by these rays.
The limbs and the vertex are the two main parts of an angle.
The common terminal of the two beams is the shared vertex.
113/7.5
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Solve the equation for x(-10x+14)/b =f
You have the following equation:
\(\frac{-10x+14}{b}=f\)In order to solve the previous equation for x, you proceed as follow:
\(\begin{gathered} \frac{-10x+14}{b}=f \\ -10x+14=fb \\ -10x=fb-14 \\ x=\frac{fb-14}{-4} \\ x=-\frac{1}{4}fb+\frac{14}{4} \\ x=-\frac{1}{4}fb+\frac{7}{2} \end{gathered}\)when you have used on each step:
- multiply by b both sides
- subtract 14 both sides
- divide by -4 both sides
- simplify
Hence, the solution for x is:
\(x=-\frac{1}{4}fb+\frac{7}{2}\)Can someone help me with both of these? You can answer only one, however, If you answer both that is who gets brainliest. don't answer just to take my points or you will get reported.
Answer:
1. true
2. Associative
Step-by-step explanation:
Use the accompanying data set to complete the following actions. a. Find the quartiles. b. Find the interquartile range. c. Identify any outliers. 41 52 37 44 42 38 41 48 43 39 36 55 42 35 15 52 39 50 29 30
Answer:
(a) \(Q_1=36.5,M=Q_2=41,Q_3=46\)
(b) \(IQR=9.5\)
(c) 15
Step-by-step explanation:
The given data set is
41, 52, 37, 44, 42, 38, 41, 48, 43, 39, 36, 55, 42, 35, 15, 52, 39, 50, 29, 30
Arrange the data in ascending order.
15, 29, 30, 35, 36, 37, 38, 39, 39, 41, 41, 42, 42, 43, 44, 48, 50, 52, 52, 55
Divide the data in four equal parts.
(15, 29, 30, 35, 36), (37, 38, 39, 39, 41), (41, 42, 42, 43, 44), (48, 50, 52, 52, 55)
Now,
\(Q_1=\dfrac{36+37}{2}=36.5\)
\(M=Q_2=\dfrac{41+41}{2}=41\)
\(Q_3=\dfrac{44+48}{2}=46\)
\(IQR=Q_3-Q_1=46-36.5=9.5\)
Range for outlier is
\([Q_1-1.5IQR,Q_3+1.5IQR]=[36.5-1.5(9.5),46+1.5(9.5)]\)
\(=[22.25,60.25]\)
Since, 15 lies outside the interval [22.25,60.25], therefore 15 is an outlier.
Find the greatest common factor of 12, 18, 26.
Answer:
2
Step-by-step explanation:
Answer:
The answer is 2. Hope this helps you out!
Step-by-step explanation:
what is one forth divided by eight
Answer:
1/4 ÷ 8 = 1/4 x 1/8 = 1/32
Step-by-step explanation:
Answer:
0.03125
Step-by-step explanation:
have a great day!
(c) What is the value of p if 4x² + 20x + p is a
perfect square
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\(( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} \)
_________________________________
\(4 {x}^{2} + 20x + p = \)
\(( {2x})^{2} + 2(2x)(5) + p = \)
Thus ;
\(p = {5}^{2} \)
So
\(p = 25\)
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-5 देखि+5सम्म कतिवटा पुर्ण सङ्ख्याहरु छन् ?
Answer:
-5,-4,-3,-2,-1,0,1,2,3,4,5
-5 देखि+5सम्म 11 पुर्ण सङ्ख्याहरु छन्
mark me as brainliest
Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145