Solution
- The question would like us to convert the number 4527 to scientific notation.
- In order to write a number to its scientific notation, we need to follow these steps:
1. Move the decimal place to the right of the first digit of the number. Make sure you count each step as you move the decimal point from right to left or left to right.
2. The number of steps corresponds to the exponent of 10 that multiplies the decimal form of the original number.
- We can apply these steps to solve the question given as follows:
- Thus, we have that the scientific notation of the number 4527 is
[tex]4.527\times10^3[/tex]Final Answer
The scientific notation of the number 4527 is
[tex]4.527\times10^3\text{ (OPTION C)}[/tex]
URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100
POINTS!!!!!
The transformation of the map is given as; translation of 1 unit to the right and rotated 180 degree counterclockwise about origin.
What is termed as the translation?In geometry, translation refers to a function which moves an object a specified distance. The element is not otherwise altered. It is not rotated, mirrored, or resized.Each point of the element must be relocated within the same direction and at the same distance during a translation.When performing a translation, this same initial object is referred to as the pre-image, and the element after the translation is referred to as the image.For the given question;
The graph of the triangle is given,
The triangle is first translated to the 1 unit to its right such that vertex of the triangles lies on the y -axis.
Now, the triangle is rotated about origin in counter clock wise direction about 180 degrees.
Thus, the final image is shown by red triangle.
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Line p is the perpendicular bisector of MN. Write the equation of line p in slope-intercept form.
Line p is perpendicular bisector of line MN. This means that it divides line MN equally. Thus, point B is the midpoint of line MN. Thus, we would find the midpoint of line MN by applying the midpoint formula which is expressed as
(x1 + x2)/2, (y1 + y2)/2
Looking at the given points of line MN,
x1 = - 5, y1 = 2
x2 = 7, y2 = - 1
Midpoint = (- 5 + 7)/2, (2 + - 1)/2
Midpoint = 2/2, 1/2
Midpoint = 1, 1/2
We would find the slope of line MN. The formula for finding slope is expressed as
m = (y2 - y1)/(x2 - x1)
Looking at the given points of line MN,
x1 = - 5, y1 = 2
x2 = 7, y2 = - 1
m = (- 1 - 2)/(7 - - 5) = - 3/(7 + 5) = - 3/12 = - 1/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. This means that the slope of line p is 4/1 = 4
Thus, line p is passing through point (1, 1/2) and has a slope of 4
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
To determine the equation of line p, we would substitute m = 4, x = 1 and y = 1/2 into the slope intercept equation. It becomes
1/2 = 4 * 1 + c
1/2 = 4 + c
c = 1/2 - 4
c = - 7/2
Substituting m = 4 and c = - 7/2 into the slope intercept equation, the equation of line p would be
y = 4x - 7/2
Need help finding the volume and rounding to nearest whole number.
For a cylinder, the volume can be calculated using the formula:
[tex]V=\pi r^2h[/tex]Where r is the radius of the base and h is the height. From the problem, we identify:
[tex]\begin{gathered} r=\frac{16}{2}=8\text{ yd} \\ \\ h=10\text{ yd} \end{gathered}[/tex]Then, using these values to calculate the volume of the cylinder:
[tex]\begin{gathered} V=\pi(8)^2(10)=\pi(64)(10)=640\pi \\ \\ \therefore V=2011\text{ yd}^3 \end{gathered}[/tex]The radius, R, of a sphere is 5.7 cm. Calculate the sphere's volume, V.Use the value 3.14 for r, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
The volume formula of a sphere is :
[tex]V=\frac{4}{3}\pi r^3[/tex]From the problem, the radius of the sphere is r = 5.7 cm
Using the formula above :
[tex]\begin{gathered} V=\frac{4}{3}(3.14)(5.7)^3 \\ V=775.3 \end{gathered}[/tex]ANSWER :
775.3 cm^3
The triangles below are congruent by SSS, so we can say that < E is congruent to ______ by CPCTC.
The triangles are given to be congruent by the side-side-side (SSS) congruence property.
Hence, the congruent statement is:
[tex]\triangle DEF\cong\triangle HIJ[/tex]It is required to complete the given statement.
Recall that CPCTC means Corresponding Parts of Congruent Triangles are Congruent.
The corresponding part to ∠ E is ∠I. Hence, by CPCTC, the angle congruent to ∠E is ∠I.
The answer is option b.
Letters a, b, c, and d are angle measures. Which should equal 105° to prove that fll g? Фа Ob n b 75° 0 d g f Mark this and return Save and Exit Next Submit
in the given figure,
the sum of exterior angle 75 and d will be 180
we have 75 + d = 180
d = 180 - 75
d = 105 degrees,
thus, the correct answer is option D
Your cousin is building a Sandbox for his daughter how much sand will he need to fill the Box? Explain. How much paint will he need to paint all six surface of the sandbox? Explain. 1ft 4ft 6ft not answer choices
Since the image is a rectangular prism
The volume of the box can be obtained by using the formula:
Volume = l x b x h
The box has a dimension of 1ft x 4ft x 6ft
The volume of the box = 1 x 4 x 6 = 24 cubic feet
Therefore, the volume of sand needed to fill the box will be = 24 cubic feet of sand
The surface area of the box can be obtained using the formula:
2(lb + lh + bh)
= 2(1x4 + 1x6 + 4x6)
=2(4 + 6 + 24)
=2 (34)
= 68 square feet
Therefore a total surface area of 68 square feet needs to be painted
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.(14+3)(2 x 6)B▸ Math symbols▸ Relations▸ Geometry▸ Groups▸ TrigonometryStatistics▸ Greek
Given:
The given mathematical expression is,
[tex](14+3)-(2\times6)[/tex]Required:
To solve the given expression.
Explanation:
Let us solve the given mathematical expression by using BODMAS rule.
Therefore, first, we calculate within brackets and then will perform subtraction.Thus, we get,
[tex]\begin{gathered} (14+3)-(2\times6) \\ =17-12 \\ =5 \end{gathered}[/tex]Final Answer:
The solution of the given mathematical expression is, 5.
Question 1. Write the equation of the line that goes through the points (-2,1) and (4,2).
Slope-intercept equation:
y=mx+b
Where:
m= slope
b=y- intercept
Point 1 = (x1,y1) = (-2,1)
Point 2 = (x2,y2)= (4,2)
First, find the slope by applying the formula:
[tex]m=\text{ }\frac{y2-y1}{x2-x1}=\frac{2-1}{4-(-2)}=\frac{1}{6}[/tex]Now we have:
y=1/6x+b
Replace x,y by a point ( for example point 1 (-2,1)) and solve for b:
1 = 1/6 (-2) +b
1= -1/3 +b
1+1/3 = b
b= 4/3
Final equation:
y= 1/6x+4/3
What is the value of x if x + 15 = 38 ? Enter answer below
x=23
1) Evaluating x +15=38
x +15=38 Subtract 15 from both sides
x+15-15 = 38 -15
x=23
2) So the quantity of x = 23
x=23
1) Evaluating x +15=38
x +15=38 Subtract 15 from both sides
x+15-15 = 38 -15
x=23
2) So the quantity of x = 23
lmk quick please i need to turn this in
Answer:
2x^2 + 12x
Step-by-step explanation:
The perimeter is the sum of all the sides of a geometric figure.
So x^2 + 6x - 3 + 5x + 3 + x^2 - x
Add like terms:
2x^2 + 12x
The reason I said 2x^2 + 12x here is that this is likely a misprint, and you'll have to ask your teacher about this. Since the 3s (3 and -3) cancel each other out, but there are only 10 x's, your true answer is 2x^2 + 10x.
However, it is more likely that the misprint concerns the x^2 - x, meaning it was meant to be x^2 + x, which would give you answer A. The idea that the problem is just missing a random 9 somewhere is much more farfetched.
I would select answer A.
This is a complicated and incorrectly formatted question. Hope this helps!
Answer:
D
Step-by-step explanation:
show the prime factorisation of 49 :-;
thankyou.
Answer:
The prime Factorization of 49 is 7.7
Step-by-step explanation:
Hope this helps! :))
Answer:
7
Step-by-step explanation:
The factors of 49 are 1, 7, and 49
help in this question pls
The diagram has a hollow cylindrical tube, of internal radius 4cm and external radius 6cm. How can I determine the area of an external curved surface, how can I get the area of the inner curved surface and how can I get the total surface area of the tube?
Given:
internal radius = 4cm
External radius = 6cm
Height = 20cm
Curved surface area of the external surface
The formula for the curved surface is:
[tex]\begin{gathered} =2\pi rh \\ \text{Where r is a radius} \\ \text{and h is the height of the cylinder} \end{gathered}[/tex]Hence, the curved surface area:
[tex]\begin{gathered} C\mathrm{}S\mathrm{}A\text{ of external surface = 2}\times\pi\times6\times20 \\ =753.982cm^2 \end{gathered}[/tex]Curved surface area of the inner surface:
[tex]\begin{gathered} C\mathrm{}S\mathrm{}A\text{ of inner surface = 2 }\times\pi\times4\times\text{ 20} \\ =502.654cm^2 \end{gathered}[/tex]The total surface area of the tube :
The total surface area can be found using the formula:
[tex]\text{Total Surface area = }2\pi(R^2-r^2)\text{ + }2\pi h(R\text{ + r)}[/tex]Where R is the radius of the external surface and r is the radius of the inner surface
Hence:
[tex]\begin{gathered} \text{Total Surface area = 2}\times\pi\times(6^2-4^2)\text{ + 2}\times\pi\times20\times(6\text{ + 4)} \\ =\text{ }1382.3cm^2 \end{gathered}[/tex]1.The histogram (next page) summarizes the data on the body lengths of 143 wild bears. Write a fewsentences describing the distribution of body lengths.403020103035404570 7580 8550 55 60 65length in inchesBe sure to comment on the shape, center, and spread of the distribution.
The shape of the distribution is bell-shaped. This is because the distribution presents a normal distribution
The distribution is almost symmetrically skewed with no outlier
The center is about 60 inches(about 59 wild bears before the center and about 84 wild bears beyond the center)
The distribution is widely spread: The data range is the highest inches minus the lowest inches
Therefore, the spread of the distribution is 85 inches - 35 inches, which equals 50 inches.
brainliest will be given to whoever has the correct answer
The CLOSEST correct answer regarding "x" is the first one (answer A), since x is 79. The correct answer is: X measures 79 because it is an alternate external angle between parallel lines to the one labeled 79 in the picture.
a survey of 240 households.91 had a dog. 70 had a cat. 31 had a cat and dog. 91 had neither a cat or a dog and did not have a parakeet. 7 had a cat, a dog and a parakeet. how many had a parakeet only?
A total of 240 households participated in the survey.
91 of then had neither a cat, a dor or a parakeet.
Then, 159 of them had at least one animal.
7 of then had a cat, a dog and a parakeet.
Then, 152 of them had one or two animals between a cat, a dog and a parakeet.
31 of them had a cat and a dog.
Then, 121 of then had a dog only, a cat only, a dog and a parakeet, a cat and a parakeet or a parakeet only. Between these, we want to find the ones who had a parakeet only. Only 91 - 31 = 60 of these 121 households must had at least a dog and only 70 - 31 = 39 of these had at least a cat.
Therefore, the number of households that had a parakeet only is 121 - 60 - 39 = 22
What is the probability that a meal will include a hamburger
ANSWER:
The probability that a meal will include a hamburger is 25%
SOLUTION:
The total combination of one entree and one drink is 4* 2 = 8
The total combination of one hamburger meal is 1*2 = 2
The probability is 2/8 or 1/4 or 25%
May I please get help with describing each or the math problems
From the given traingles, let's select the correct statements.
(a) Select all that describe BD.
Here, the line BD divides angle B into 2 equal parts. It means BD bisects ∠D.
An angle bisector is a line that divides an angle into two equal angles.
Hence, we can say BD is an angle bisector of ∠B.
(b) Select all that describe HI.
Since m∠FIH is a right triangle, it means ∠HIG is also a right triangle.
Also, the line HI originates from the vertex.
Since. the it forms a right angle, we can say HJ is an altitude of the triangle FGH.
Hence, HJ is an altitude of ΔFGH.
(c) Select all that describe MN.
Here, we can see that line MN divides the line segment KL into two equal parts, it means that point M is the median of the line segment KM and the pperpendicular bisector of line segment KL.
A perpendicular bisector is a line segment that divides another line segement into two equal parts.
KM = LM
Hence, MN is the perpendicular bisector of KL.
ANSWER:
• (a) Angle bisector of ∠B.
,• (b) Altitude of ΔFGH.
,• (c) Perpendicular bisector of KL.
convert 7 ounces to grams. Round to the nearest whole number
Answer:
[tex]198\text{ g}[/tex]Explanation:
Here, we want to convert from ounces to grams
Mathematically,we have it that:
[tex]1\text{ ounce = 28.3}495\text{ g}[/tex]7 ounces will be the product of 7 and this
Mathematically,we have this as;
[tex]7\text{ }\times\text{ 28.3495 = }198.4465[/tex]To the nearest whole number, this is 198 g
Determine the vertex and the axis of symmetry based on the equation, y =-12 -8x - 36
Solution
Determine the vertex and the axis of symmetry based on the equation:
[tex]y=-x^2-8x-36[/tex]Therefore the correct answer is Option A
A quadratic function f(x)f is hidden from view. You must find all intervals where f(x) is positive. Choose the form of the quadratic function f(x) that you would like to see in order to answer the question most efficiently.
To find the positive intervals, we'll have:
[tex]-3x^2-18x-15>0[/tex]1. Divide both sides by -3:
(Remember that dividing or multiplying by a negative number turns the inequality around!)
[tex]\begin{gathered} -3x^2-18x-15>0 \\ \rightarrow x^2+6x+5<0 \end{gathered}[/tex]2. Factor the expression:
[tex]\begin{gathered} x^2+6x+3<0 \\ \rightarrow(x+5)(x+1)<0 \end{gathered}[/tex]3. Identify the interval we're looking for:
Therefore, the function is positive in the interval:
[tex]\begin{gathered} -5Need some help with table 2.Fill up tables of proportional relationships with missing Values.
Proportional Relationships
If the variables x and y are in a proportional relationship, then:
y = kx
Where k is the constant of proportionality that can be found as follows:
[tex]k=\frac{y}{x}[/tex]If we are given a pair of values (x, y), we can find the value of k and use it to fill the rest of the table.
For example, Table 1 relates the cost y of x pounds of some items. We are given the pair (2, 2.50). We can calculate the value of k:
[tex]k=\frac{2.50}{2}=1.25[/tex]Now, for each value of x, multiply by this factor and get the value of y. For example, for x = 3:
y = 1.25 * 3 = 3.75
This value is also given and verifies the correct proportion obtained above.
For x = 4:
y = 1.25 * 4 = 5
For x = 7:
y = 1.25 * 7 = 8.75
For x = 10:
y = 1.25 * 10 = 12.50
Now for table 2, we are given the pair (3, 4.5) which gives us the value of k:
[tex]k=\frac{4.5}{3}=1.5[/tex]Apply this constant for the rest of the table.
For x = 4:
y = 1.5 * 4 = 6
For x = 5:
y = 1.5 * 5 = 7.50
For x = 8:
y = 1.5 * 8 = 12
The last column doesn't give us the value of x but the value of y, so we need to solve for x:
[tex]y=k\cdot x\text{ }=>\text{ }x=\frac{y}{k}[/tex]For y = 15:
[tex]x=\frac{15}{1.5}=10[/tex]Answer below! Thank you :) and try to explain how you got it!
The value of the equation that we have here is given as 16r² + 24
How to solve the expressionThe equation that we are to simplify here is given as -2r(-13r+5r-12).
In order to open the brackets we would have to multiply -2r with all of the values that are in the bracket.
The mathematical signs that are used in the question have to be well thought of as well before the calculation is done
We would have 26r² - 10r² + 24
26r² - 10r² + 24
because they have the same powers they would be able to subtract
16r² + 24
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Linear Expressions MC)
Simplify -2r(-13r+5r-12).
O-162-24r
162+24
162+24r
O-162 + 24r
Which statements about the opposite of −12 are true? Select each correct answer. Responses −12 and its opposite are on located on the same side of zero on a number line. negative 12, and its opposite are on located on the same side of zero on a number line. The opposite of −12 is −1/12. The opposite of , negative 12, is , negative fraction 1 over 12, . −12 and its opposite are located the same distance from zero on a number line. negative 12, and its opposite are located the same distance from zero on a number line. The opposite of the opposite of −12 is −12.
Answer:
The opposite would be +12.
Step-by-step explanation:
In math, an opposite number is the number on the other side of zero on the number line that is the same distance from zero. For example, the number 5 is five spaces from zero on the right-hand side of the number line while the opposite. So the opposite would be -5 because it is five spaces from zero on the left side of a number line.
There are 12 freshman 6 sophomores 12 juniors and 16 seniors. What percentage of club members are sophomores
Answer:
13% (rounded)Step-by-step explanation:
12 + 6 + 12 + 16 = 46
46 total students
out of those 46 students, 6 are sophomores
so put that into a fraction it becomes
[tex]\frac{6}{46}[/tex]
which equals
0.130434783
which in percentage is
13.0434783%
or 13% rounded
Is (6, –21) a solution to the equation y = –5x − –9?
Answer:
Explanation:
Given the equation:
[tex]y=-5x-(-9)[/tex]When x=6:
Bryan's hockey team is purchasing jerseys. The company charges $250 for a onetime set-up fee and $23 for each printed jersey. Which expression represents the total cost of x number of jerseys for the team?Group of answer choices23x23 + 250x23x+250
To find the right answer, we have to remember that
[tex]\text{Total cost= Variable cost+ Fixed cost}[/tex]The variable cost is that which changes, in our case, the variable cost is the price of each jersey. since each cost $23 and it increases as the number of jerseys increases.
Thus, the variable cost will be
[tex]23x[/tex]The fixed cost is always constant. The fixed cost is the one-time set-up fee of 250.
Thus, we can combine the two costs to get the total cost.
The answer will be:
[tex]\text{Total cost=23x+250}[/tex]Find the surface area of a right cone that has a radius of 9 inches and a height of 12 inches. Round your answer to the nearest hundredth. The surface area is about ⬜ square inches.
The surface area of the right cone is:
[tex]678.58in^2[/tex]Explanation:The surface area of a right cone is:
[tex]A=\pi r(r+\sqrt[]{r^2+h^2})[/tex]Here, r = 9 in, and h = 12 in
so
[tex]\begin{gathered} A=9\pi(9+\sqrt[]{9^2+12^2}) \\ \\ =9\pi(9+15) \\ =216\pi \\ =678.58in^2 \end{gathered}[/tex]Evaluating functions I don’t understand this one and I can’t find it no where else
The function given is
[tex]f(x)=4x[/tex]We are to find the inverse of the function
let f(x) =y
[tex]y=4x[/tex]Then, we make x the subject of the formula from here
[tex]\begin{gathered} y=4x \\ x=\frac{y}{4} \\ x=\frac{1}{4}y \end{gathered}[/tex]Then The inverse of the function becomes
[tex]f(x)=\frac{1}{4}x[/tex]Therefore the fourth option is correct