Answer:
3Step-by-step explanation:
Given expression[tex]\sqrt{49}-2^2[/tex]Simplify it as follows[tex]\sqrt{49}-2^2 =[/tex][tex]7-4=[/tex][tex]3[/tex]Answer:
3
Step-by-step explanation:
i got it right on the exam!
An architect plans to buy 5 stone spheres and 3 stone cylinders. For the same amount, he can buy 2 stone spheres and 7 stone cylinders. If one stone cylinder costs $32.73 how much does
each stone sphere cost?
Answer:
Each stone sphere costs $43.64Step-by-step explanation:
Let the cost of stone sphere is s and stone cylinder is c.
According to question we have equation:
5s + 3c = 2s + 7cSolve it for s:
5s - 2s = 7c - 3c3s = 4cSubstitute the value of c:
3s = 4*32.733s = 130.92s = 130.92/3s = 43.648) A bank pays interest of 11%. Mamuru puts $5000 in the bank.
How much money does he have after:
a) one year?
b) three years?
c) five years?
Answer:
Assuming that the interest Is paid out yearly After one year he would have $5550 After 3 years he would have $6838.16 After 5 years he would have $8425.29
The two angles pictured below are vertical angles.
Two lines intersect. The vertical angles measure eighty-four degrees and eight times x minus twelve.
What is the value of x?
The value of x in the vertical angles is 12.
What are vertically opposite angles?When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.
In other words, vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertically opposite angles are congruent.
Therefore, the vertical angles measures 84 degrees and 8x - 12.
Let's find the value of x using the principle of vertically opposite angles.
Therefore,
84 = 8x - 12
add 12 to both sides of the equation
84 + 12 = 8x - 12 + 12
96 = 8x
divide both sides by 8
x = 96 / 8
x = 12
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Find the union, AUB, for of the following pair of sets. Enter "DNE" for the empty set.A = (-∞, - 5], B = [5, ∞)
Given
Two sets A = (-∞, - 5], B = [5, ∞)
Find
union, AUB
Explanation
Union of two sets A and B is the set of all elements that are present in A or in B
so , here A = (-∞, - 5], B = [5, ∞)
then union of set A and B is given by
[tex]A\cup B=(-\infty,-5]\cup[5,\infty)[/tex]Final Answer
Therefore., the union of A and B is (-∞, - 5] U [5, ∞)
Solve for x and y in the problem below. Then, find m
Given the Cyclic Quadrilateral Theorem,
Opposite angles of a Cyclic Quadrilateral are supplementary(that is, they add up to 180°).
Therefore,
[tex]\begin{gathered} 17x+78^o=180^o \\ 17x=180^o-78^o \\ 17x=102^o \\ x=\frac{102^o}{17} \\ x=6^o \end{gathered}[/tex]To obtain y,
[tex]\begin{gathered} 9y+6y=180^o \\ 15y=180^o \\ y=\frac{180^o}{15} \\ y=12^o \end{gathered}[/tex]Thus,
[tex]\begin{gathered} m\angle X=9y \\ =9\times12 \\ =108^o \end{gathered}[/tex][tex]\begin{gathered} m\angle V=6y \\ =6\times12 \\ =72^o \end{gathered}[/tex][tex]\begin{gathered} m\angle W=17x \\ =17\times6 \\ =102^o \end{gathered}[/tex]Therefore, the values are
m
m
m
ABCD is a quadrilateral
Work out the length of BC
Give your answer correct to 1 decimal place.
Using the law of cosines, the length of BC in the given quadrilateral is: 8.1 cm.
What is the Law of Cosines?The law of cosines that can be used to find the length of a side of a triangle with a known included angle and two sides is:
c² = a² + b² - 2 × a × b × Cos C.
Considering right triangle ABD,
BD = a
DC = b
BC = c
Use the Pythagorean theorem to find the length of BD in the quadrilateral as shown in the diagram:
BD = √(7.5² + 5²)
BD = √(7.5² + 5²)
BD = 9.0 cm
Use the law of cosines to find the length of BC:
BC² = BD² + DC² - 2 × BD × DC × Cos <BDC.
Substitute
BC² = 9.0² + 13² - 2 × 9.0 × 13 × Cos 38
BC² = 250 - 184.4
BC² = 65.6
BC = √65.6
BC = 8.1 cm
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What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly describe the end behavior of the function. f(x)=6x9−6x4−6 f(x)=−3x4−6x+4x−5
As x→−∞
As x→∞
The end behavior of the polynomial function is as shown in the attached picture.
What is polynomial function?Polynomial functions refers to equation that consists of variables that have non negative exponents or powers. The when there is only one term in the equation it is referred to as monomial
What is end behavior of polynomial function?The end behavior refers to the behavior of the function at the extremes of the x direction.
The end behavior of a polynomial function is controlled by the term that has the leading terms
In the given question,
The first question has 6x^9 as the term that controls the end behavior hence substituting the -∞ and +∞ gives the end behavior as attachedSimilarly, the second function has -3x^4 as the leading term substituting the -∞ and +∞ gives the end behavior as attachedLearn more on end behavior at: https://brainly.com/question/1365136
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same as my last two questions
The intervals to the given function are as follows:
Domain: (-∞,∞).Range: (-∞,∞).Rel. maximums: (1.366, -0.652).Rel. minimums: (-0.366, -5.848) and (2,-1).End behavior: As x -> -∞, f(x) -> ∞, and as x -> ∞, f(x) -> ∞.Inc. intervals: (-0.366, 1.366) U (2, ∞).Dec. intervals: (-∞, -0.366) U (1.366, 2).Domain and rangeDomain: Set of values of the input of the function, hence the values of x in the graph of the function.Range: Set of values of the output of the function, hence the values of y in the graph of the function.This function is defined(values of x) for all real values and also assumes all real values(values of y), hence both the domain and the range are of the function are given by the interval (-∞,∞).
Increasing and decresingFrom the graph, the function is classified as decreasing or increasing according to the direction of movement in the graph, as follows:
Decreasing: Right and down.Increasing: Right and up.Hence the intervals are given as follows:
Increasing: (-0.366, 1.366) U (2, ∞).Decreasing: (-∞, -0.366) U (1.366, 2).Relative maximum and relative minimumThe relative minimum is when the graph of the function changes from decreasing to increasing, hence it is at these two following points:
(-0.366, -5.848) and (2,-1).
The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:
(1.366, -0.652).
End behaviorThe end behavior of the function is given by the limits of the function when x go to infinity, looking to the left and to the right of the graph of the function, hence:
Left: Moves up, hence as x -> -∞, f(x) -> ∞.Right: Moves up, hence as x -> ∞, f(x) -> ∞.More can be learned about functions at https://brainly.com/question/28949511
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equationsWrite a system of equations to describe the situation below, solve using elimination, and fill inche blanks.lada gets paid at home for doing extra chores. Last week, she did 1 load of laundry and 8oads of dishes, and her parents paid her $26. The week before, she finished 3 loads ofaundry and 8 loads of dishes, earning a total of $30. How much does Jada earn forcompleting each type of chore?
In this problem, we are going to write and solve a system of equations based on a real world situation.
Last week, she did 1 load of laundry and 8 loads of dishes, and her parents paid her $26. The week before, she finished 3 loads of laundry and 8 loads of dishes, earning a total of $30.
To begin, we need to create variables for the unknown cost of each chore.
Let x represent laundry, and let y represent dishes.
From the first equation, we can write the equation:
[tex]x+8y=26[/tex]We can write the second equation as:
[tex]3x+8y=30[/tex]Together, we have the system:
[tex]\begin{cases}x+8y={26} \\ 3x+8y={30}\end{cases}[/tex]Multiply the first equation by -1, then add it to the second equation:
[tex]\begin{gathered} \begin{cases}-1(x+8y={26)} \\ 3x+8y={30}\end{cases} \\ \\ \begin{cases}-x-8y={-26} \\ 3x+8y={30}\end{cases} \\ \\ (-x+3x)+(-8y+8y)=-26+30 \\ 2x=4 \end{gathered}[/tex]We can divide the remaining equation by 2 on both sides:
[tex]\begin{gathered} \frac{2x}{2}=\frac{4}{2} \\ \\ x=2 \end{gathered}[/tex]Lada made $2 per load of laundry.
We can use the value of x in the first equation to find the value of y. Substitute x = 2:
[tex]2+8y=26[/tex]Subtract 2 from both sides:
[tex]8y=24[/tex]Divide by 8 on both sides:
[tex]y=3[/tex]Lada made $3 per load of dishes.
PLS
Natasha has a photo of a lasagna dish she made, which she wants to post to various
websites. The original image has a width of 300 pixels and a height of 450 pixels.
Consider each set of new dimensions or scale percents that show adjustments to this
original image. Describe how the image changed and whether the new image is
similar to the original. Show your work and explain your reasoning.
New image: 35% width, 35% height
As both the width and height of the new image are 35% of the width and height of the original image, the aspect ratio is maintained and the new image is similar to the original image.
What is a Scale Factor?A scale factor is defined as the ratio of an object's original scale to that of a new one, considering the different depictions of that object (bigger or smaller)
Given:
The dimensions of the original image are a width of 300 pixels and a height of 450 pixels.
The dimensions of the New image have 35% width and 35% height.
Width = 0.35 × 300 = 105
Height = 0.35 × 450 = 157.5
Scale factor = New Dimension/Original Dimension
Scale factor of Height = 157.5/450 = 0.35
Scale factor of width = 105/300 = 0.35
Therefore, the new image is neither scaled down nor scaled up and is the same as the original image.
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You don't need to explain if you don't want.
Answer:
1
Step-by-step explanation:
The absolute value of x is the black line, therefor the absolute value of x-1 is the blue line
Hope that helps
Cristian bought a new electronic tablet on sale 1/4 off the original Price.
A.What is the amount of the discount if the original price was $755
B.What is the scales price of the Tablet
Answer:
A: $188.75
B: $566.25
Step-by-step explanation:
To find the amount of the discount you can either multiply the original price ($755) by 1/4 or you can divide by 4.
Either way will get you $188.75. This is a quarter of the original price and is what is subtracted from the original sale price ($755). To find the sale price after the discount you do:
755-188.75=$566.25.
To check this you can do 755 × 3/4.
Hope this helps.
Please Mark Brainliest!!!
Answer:
What he said
Step-by-step explanation:
given the domain {-2,2,4} what is the range for relation 3x+y=3a (-9,3,9)b (9,-3,-9)c (-3,9,15)d (0,5,7)
the relation is 3x + y = 3
so,
y = 3x - 3
the domain is the values of x
so, substitute with each value of {-2,2,4} at the last equation of y
when x = -2 , y = 3*-2 - 3 = -6 - 3 = -9
when x = 2 , y = 3 * 2 - 3 = 6 - 3 = 3
when x = 4 , y = 3 * 4 - 3 = 12 - 3 = 9
so, the range will be {-9 , 3 , 9}
The correct answer is option a. (-9,3,9)x
ASAP NEED HELP WILL GIVE BRAINLIEST
The value of the unknown angle x is 22 degrees.
How to find the angle x?SV is a parallel to RU.
RV is a transversal line that cut across the parallel lines SV and RU.
Therefore,
x = ∠V(alternate angles)
Alternate angles are congruent.
Hence,
∠V + 44 + 5x + 4 = 180 (sum of angles in a triangle)
x + 44 + 5x + 4 = 180
x + 5x + 48 = 180
6x + 48 = 180
6x = 180 - 48
6x = 132
divide both sides by 6
x = 132 /6
x = 22 degrees
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What does it mean (to the process of finding all factors) that I have found 2 PRIME factors as a factor pair?
Answer:
It means that you are done.
Step-by-step explanation:
When you are trying to find factors of a number or an algebraic expression, you must keep on factoring until you have all PRIME factors. PRIME factors cannot be further factored. So that means you are done factoring.
example: (a number)
6
factors: 2 and 3
2 and 3 are prime they can't be factored anymore so you have completely factored 6.
example: 20
factors: 4 and 5
5 is prime but 4 is not, so you can factor it more.
4 is 2×2
So 20 factored is 2×2×5
Or algebra example:
Factor x^4 - 81
factors: x^2 - 9 and x^2 + 9
x^2 + 9 cannot be factored more (prime) but x^2-9 can. Its x-3 and x+3.
What is the answer to this question
The angles are which alternate exterior angles include the following: A. ∠XWY and ∠STR.
What are parallel lines?Parallel lines can be defined as two (2) lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.
What is the alternate exterior angle theorem?The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.
In conclusion, we can logically deduce that both ∠XWY and ∠STR are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.
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The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.68, the probability that a car brought into the shop requires brake repair is 0.32, and the probability that a car requiresboth anoil change and brake repair is 0.11. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair.The probability that the car requires an oil change or brake repair is
Remember that
P(A or B)=P(A)+P(B)-P(A and B)
In this problem, we have that
Event A and Event B are not independent
we have
P(A)=0.68
P(B)=0.32
P(A and B)=0.11
substitute
P(A or B)=0.68+0.32-0.11
P(A or B)=0.89
The answer is 0.89Question 1 3 pts Isis has 4.8 m of ribbon for crafts. She wants to share it evenly with 12 friends. How many centimeters of ribbon would 5 friends get?
We will investigate the equal distribution of ribbon amoung her friends.
Isis has a ribbon for crafts for a certain length ( L ):
[tex]L\text{ = 4.8 m}[/tex]Isis has ( n ) number of friends amoung which she wants to equally distribute the length ( L ) of her ribbon:
[tex]n\text{ = 12}[/tex]Under the assumption of equal distribution we can divide the total length of ribbon ( L ) amoung Isis ( n ) of friends to determine what length ( l ) each friend got:
[tex]\begin{gathered} l\text{ = }\frac{L}{n} \\ \\ l\text{ = }\frac{4.8}{12} \\ \\ l\text{ = 0.4 m or 40 cm} \end{gathered}[/tex]So each friend of Isis got a piece of 40 cm length of the ribbon. So the length of the ribbon accumulated for 5 friends would involves the direct multiplication of 5 number of friends and length of each piece ( l ):
[tex]\begin{gathered} 5\text{ friends got = 5 }\cdot\text{ l} \\ 5\text{ friends got = 5 }\cdot\text{ 40} \\ 5\text{ friends got = }200\text{ cm} \end{gathered}[/tex]Therefore, the answer to the question is:
[tex]200\text{ cm}[/tex]Which statement is true about the equations –3x + 4y = 12 and One-fourthx – One-thirdy = 1?
The system of the equations has exactly one solution at (–8, 3).
The system of the equations has exactly one solution at (–4, 3).
The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.
Answer: The answer is c) The system of the equations has no solution; the two lines are parallel.
Step-by-step explanation: edge 2022
Answer: C
Step-by-step explanation:
How much greater is 8.5 x 10^-2 than 6.6 × 10^-5 ?
Answer:
1288 times greater
Step-by-step explanation:
(8.5x10^-2)/(6.6x10^-5)
(8.5/6.6)*(10^-2/10^-5)
(1.29)*(10^3)
1288 times greater
Find the value of x in each case.
Not rlly sure how to make the equation, i tried it a couple times and got the answer wrong
Pls help and ill reward Brainly thing
Rewrite one fourteenth times x cubed times y plus three fourteenths times x times y squared using a common factor.
The equation that represents the sentence will be (1/14)xy ·[x² + 3y].
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
The sentence is given below.
One-fourteenth times x cubed times y plus three-fourteenths times x times y squared.
Convert the sentence into an expression. Then we have
⇒ (1/14)x³y + (3/14)xy²
Simplify the expression, then we have
⇒ (1/14)x³y + (3/14)xy²
⇒ (1/14)xy ·[x² + 3y]
The equation that represents the sentence will be (1/14)xy ·[x² + 3y].
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The table shows a proportional relationship.
x 12 8 24
y 3 2 6
Describe what the graph of the proportional relationship would look like.
A line passes through the point (0, 0) and continues through the point (3, 12).
A line passes through the point (0, 0) and continues through the point (2, 8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
A graph which best describes what the proportional relationship would be D. A line that passes through the point (0, 0) and continues through the point (12, 3).
What is a graph?In Mathematics, a graph is used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.
Additionally, a graph which shows a proportional relationship between two variables would always have a straight line with its data points passing through the origin (0, 0).
Since the graph represents a proportional relationship we will get;
Constant of proportionality, we get;
k = 12/3 = 8/2 = 24/6
k = 4
Ratio,
24:6
= 12:3.
Therefore, A line that passes through the point (0, 0) and continues through the point (12, 3).
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pls help me asap! due in 30 minutes :(
Answer:
(x+6)+x=20 Andy
Step-by-step explanation:
X represents Andy
X+6 represents juana who did 6 more problems
(X+6)+x=20
2x+6=20
2x=14
X=7
s\\line t find the measure of each angle HELP ME NOWWW
The values of the angles for the two parallel lines will be ∠1 = 115°, ∠2=115°, ∠3=148°, and ∠4 = 148°.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point.
Given that the lines s and t are parallel to each other. The values of the different angles will be:-
∠1 = 115° Exterior angle property
∠2 = 115° Vertically opposite angle
The value of angle ∠3 will be calculated by the supplementary angle property.
∠3 = 148°
The value of angle ∠4 is 148 by vertically opposite angle property.
∠4 = 148°
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Select the correct answer.
Function g is a transformation of the parent cosine function such that g(x) = 3 cos (x + 2) + 1. Which graph represents function g?
Option C gives the graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.
What is cosine function?The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.
What is Graph?A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Choice C provides a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.
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Answer:
see photo
be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.
Step-by-step explanation:
Plato/Edmentum
5 (u - 5) + 6u = 8 solve for u and simplifly your answer as much as possible
Answer:
u = 3
Step-by-step explanation:
Step 1: Distribute 5 in u - 5
[tex]\displaystyle{5\cdot u - 5\cdot 5 +6u=8}\\\\\displaystyle{5u-25+6u=8}[/tex]
Step 2: Add like terms together (u-term)
[tex]\displaystyle{11u-25=8}[/tex]
Step 3: Add both sides by 25
[tex]\displaystyle{11u-25+25=8+25}\\\\\displaystyle{11u=33}[/tex]
Step 4: Divide both sides by 11
[tex]\displaystyle{\dfrac{11u}{11}=\dfrac{33}{11}}\\\\\displaystyle{u=3}[/tex]
Answer Check
Step 1: Substitute u = 3 in the equation
[tex]\displaystyle{5(3-5)+6(3)=8}[/tex]
Step 2: Evaluate & Simplify
[tex]\displaystyle{5(-2)+18=8}\\\\\displaystyle{-10+18=8}\\\\\displaystyle{8=8}[/tex]
Since the equation is true after substituting u = 3. Therefore, the answer is u = 3.
Please let me know if you have any questions!
PLSS HELP I NEED ASAP
Answer:
m = -5
n = -2
Step-by-step explanation:
5m + 6n = -37
10m + 4n = -58 multiply first equation by -2
-2 × 5m + 6n = -37
-10m + (-12n) = 74 now add two equations up
10m - 10m + 4n - 12n = 74 - 58 add/ subtract like terms
-8n = 16 divide both sides by -8
n = -2
to find the value of m, replace n with -2 in the first equation
5m + 6*(-2) = -37
5m - 12 = -37 add 12 to both sides
5m = -25 divide both sides by 5
m = -5
Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. At what rate is the turtle crawling in miles per hour
If Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. The rate that the turtle is crawling in miles per hour is: 0.2 miles /hour .
Determining the Unit rate per mileGiven data:
1/2 of an hour = 1/20 of a mile
Now let determine the unit rate
Unit rate that the turtle is crawling is: (1/20)/(1/2)
Hence,
Unit rate = (1/20)×(2/1)
Unit rate = 2/20 miles/hour
Unit rate = 0.2 miles /hour
Therefore the rate is 0.2 miles per hour.
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If for every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. then 0.1mile/ hour is the rate at which turtle travel per hour.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that,
A turtle is trained by Tanya,
For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile.
We need to find at what rate the turtle is travelling per hour.
Let x be the distance travelled by turtle in hour.
1/20/1/2=x/1
Apply cross multiplication
x/2=1/20
x=2/20
x=0.1 miles / hour
Hence 0.1 miles per hour is the turtle travelling per hour.
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2,048 rounded to the nearest tenth?
answer to the question that you have
2,048.0
2050 because
1-9 = ones place
10-99 = tenth place
100-999 = hundrends place
1000 - 999999 - thousands place
and you round to the nearest 0 if it is 5 or up and if it is 1 to 4 it stays the same