Answer:
80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
LCM of 16 and 40 is 80. Among all common multiples of 16 and 40, the LCM of 16 and 40 is the smallest number. (16, 32, 48, 64, etc.) and (40, 80, 120, 160, 200, 240, etc.)
Point C' is the image of C(-4,-2) under a reflection across the y-axis.
What are the coordinates of Cl?
After reflection along the y-axis, the coordinates of C' is (4, -2).
What is a reflection in a graph?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the shape across the line to graph a reflection. A function's graph is transformed over the x-axis or the y-axis in a reflection (or both). The function keeps its basic form, but if a negative sign is added at the right spot in the equation, the graph will flip over one of the axes or the other.So, the coordinates of C':
We already know that C(-4,-2) lines on the 3rd quadrant as in the 3rd quadrant (-x, -y) are found.When reflecting upon the y=axis, the C' will be seen in the 4th quadrant.We know that the 4th quadrant (x, -y).So, the coordinates of C' will be (4, -2).(Refer the the graph attached below)
Therefore, after reflection along the y-axis, the coordinates of C' is (4, -2).
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Find the square root of the number. Question square root of -24
The square root of the number -24 can be written as 4.89897949 i.
What is square root ?The square root can be described as the factor of a number that, which when the number is been perform the multiplication operation on it, it will result to the original number.
It should be noted that the given number in the question, comes in form of a negative digit which makes the result of the square root to be a real number because -24 is a negative number.
Therefore, the square root of the number can be performed as :
[tex]\sqrt{-24} = 4.89897949 i[/tex]
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Gabriella and her children went into a bakery that sells cupcakes for $3 each and
donuts for $1.50 each. Gabriella has $30 to spend and must buy at least 13 cupcakes
and donuts altogether. If a represents the number of cupcakes purchased and y
represents the number of donuts purchased, write and solve a system of inequalities
graphically and determine one possible solution.
The system of inequalities can be given as
[tex]a+y\geq 13\\3a+1.5y\leq 30[/tex]
What are inequalities?
Inequality is the relationship between two or more expressions or values that are not equal to one another.
We are informed that the bakery charges $3 for each cupcake and $1.5 for each donut.
If a represents the quantity of cupcakes bought and y the quantity of donuts bought
A total of 13 products had to be purchased.
Equations can be given as
[tex]a+y\geq 13\\3a+1.5y\leq 30[/tex]
On graphing the inequalities we get
The intersection of the two inequalities is the required region
For our convenience we consider (2,14) That is 2 cupcakes are 14 donuts
The total cost is 3(2)+1.5(14)=27
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Find x, the greatest height (picture below)
The value of x or maximum height is equal to 5ft
The Maximum Height X of the see-sawThe maximum height that can be achieved by the see-saw can first be solve if we find the angle between the height and the adjacent side.
We have to proceed with trigonometric ratio which is SOHCAHTOA
To do this, we can take the first triangle and then find the value of the angle
Using Tangent of the angle;
[tex]tan\theta = \frac{opposite}{adjacent} \\tan\theta =\frac{2.5}{4}\\\theta = 32^0[/tex]
Using this value of theta, can find the maximum height attained by the see-saw.
Using Tangent of the angle again;
[tex]tan\theta = \frac{opposite}{adjacent}\\ tan 32 = \frac{x}{4 + 4} \\tan 32 = \frac{x}{8} \\x = 4.9998 = 5ft[/tex]
The maximum height attained by the seesaw is approximately equal to 5 ft
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dilation a triangle QRS with center T and scale factor 2
SRQ and SARAH ttttsttetits get t for the candy and I need to do a red ♥️
Find the new price.
Original Price: $20
Discount: 40%
Show Work!
a group of 155 seniors at a local university were asked if they took an economics class and if they had an internship.the following table shows the results.economics class no economics class totalinternship 30 68 98no internship 16 41 57total 46 109 155according to the table, what is the probability that a randomly chosen senior does not have an internship given that they took an economics class? give your answer as a fraction in simplest form
The probability that a randomly chosen senior among 155 seniors at a local university does not have an internship provided they took an economics class is 8/23 (the answer is given in the simplest fraction form)
No of students who do not have an internship in economics class = 16
Total no. of students in economics class = 46
P(A|B) = probability of occurrence of A given B has already occurred ( conditional probability)
The probability that a randomly chosen senior does not have an internship given that they took an economics class
= P (Does not have internship | Economics class )
= P(Does not have internship in economics class) / P ( Takes economics class )
=16 / 46
= 8 / 23
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Decide whether the relation is a function. If it is a function, give the domain and
range. ( please help <3)
Fourth relation is not a function, fifth relation is a function with Domain {1,2,3,4} and Range {4} and sixth relation is also a function with Domain {0,2,4} and Range {6,3}.
What is relation and function?
A function is a relation that states that there should only be one output for each input. Alternatively, we could say that a function is a special sort of relation (a collection of ordered pairs) that adheres to the rule that every X-value should only be connected with one y-value.
The Cartesian product is a subset of a relation. Or just a lot of points (ordered pairs). In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets.
The most important condition for a relation to be a function is that all its input value should have one and only one out put value.
So, in fourth question we can see that both the input have two output values, that's why this relation is not a function.
In fifth all the input values have only one out put value that's why it is a function with Domain {1,2,3,4} and Range {4}
Similarly, in sixth all the input values have only one out put value that's why it is a function with Domain {0,2,4} and Range {6,3}
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Identify where T goes if X is the midpoint of BT
The position of the point T will be shown in figure.
What is mean by Midpoint?
A point is equidistance from the endpoints of the line segment, is called the midpoint of the line segment.
Given that;
X is the midpoint of BT.
Now,
Since, X is midpoint of BT.
So, we get;
BX = XT
Hence, The distance between the points B and X is same as the distance between the points T and X.
Here, The distance between the points B and X = 3
So, The distance between the points T and X = 3
Hence, The position of the point T is 3 units far from the point X.
Therefore,
The position of the point T will be shown in figure.
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how much less than negative 2 is negative 5
Step-by-step explanation:
how much less than negative 2 is negative 5:
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
What you are looking for is the difference between -5 and -2:
= -5 - (-2)
= -5 + 2
difference -3
so: -5 is 3 smaller than -2
HELPPPPPP ASAP 20 POINTS
Answer: D
Step-by-step explanation:
It would take forever if i explained, so here you go.
300.0 gram block of lead from 22.3°C to 59.9°C? The specific
heat of lead is 0.129 J/g°C.
The most appropriate choice for heat will be given by-
Amount of heat absorbed by the lead = 1455.12 J
What is heat?
Heat is the form of energy which caused in us the sensation of hotness or coldness.
SI Unit of heat is Joule
Here,
Mass (m) of block of lead = 300 gram
Specific heat capacity (c) of block of lead = 0.129 J/g°C.
Increase in temperature ([tex]\Delta[/tex]t) of block of lead= 59.9 - 22.3
= 37.6° C
Amount of heat absorbed by the lead = [tex]300 \times 0.129 \times 37.6[/tex]
= 1455.12 J
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State if the three numbers can be the measures of the sides of a triangle.
1) 9, 7, 13
2) 26, 12, 11
3) 11, 2,9
4) 6, 11, 12
Two sides of a triangle have the following measures. Find the range of possible measures for the third side.
5) 12,9
7) 11,6
6) 8,11
8) 12,8
According to the Pythagorean theorem, the square of the length of the hypotenuse, or side across from the right angle, in a right triangle, equals the sum of the squares of the other two sides. Accordingly, if the hypotenuse's length is c and the lengths of the other two sides are a and b, then c2 = a2 + b2.
1) 9, 7 , 13
Yes, because the two smaller sides added together are larger than the third side.
2) 26, 12, 11 No, because adding the two smaller sides together does not make the third side larger.
3) 11, 2, 9
No, because the two smaller sides added together do not exceed the third side.
4) 6,11,12
Yes, because the two smaller sides added together are larger than the third side.
Triangle inequality: What is it?
The Triangle Inequality Theorem states that the sum of any two of a triangle's sides must be greater than the third side.
When the sum of the radii of two arcs in a triangle is, the arcs will only meet at their points of intersection.
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when the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data, the occurrence is known as . a. reverse correlation b. inferential statistics c. simpson's paradox d. disaggregation
The occurrence is known as Simpson's paradox.
What is Cross tabulation?
The quantitative analysis of the relationship between several variables is done through cross tabulation. Cross tabulation, also referred to as contingency tables or cross tabs, groupings variables to reveal the relationships between them. It also demonstrates how correlations vary depending on which group of variables are used.
When the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data, the occurrence is known as Simpson's paradox.
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1748/38 showing work but not long divison
The quotient of the fraction (1748/38) is 46.
As per the question statement, we are provided with a division operation, of with a dividend of 1748, and a divisor of 38.
We are required to calculate the quotient of the above mentioned division.
Here, it is mentioned in the question statement that we will have to calculate the quotient of our concerned division without using the long division method, but still, we will have to show the steps of our solving procedure.
Let us first factorise both of our dividend and divisor, which goes as,
[1748 = (2 * 2 * 19 * 23)], and [38 = (2 * 19)]
Hence, [(1748/38) = {(2 * 2 * 19 * 23)/(2 * 19) = (2 * 23) = 46]
Quotient: In Mathematics, quotient is the quantity obtained as a resultant of the division of two numbers.To learn more about Quotients and Long Division method, click on the link below.
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Write an equation from words
107 less than the quantity 383 times t equals j
The equation of the words in mathematical form is 107 - 383t = j
Equation From WordsTo solve this problem, we simply need write the words in mathematical forms.
This can be put as;
Let x represent the unknown value.
[tex]107 - 383t = j[/tex]
The equation that can be represented by the words is given as
107 - 383t = j
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pls help need to anwser this question by midnight
The standard form of equation of line is Ax + By = C, where A and B are constant.
What is termed as the equation of line?A straight line equation is a mathematical formula that describes the relationship between the coordinates on that straight line. It can be written in several ways and indicates the slope, x-intercept, as well as y-intercept of a line. The most common forms of the straight line equation are y = mx + c and ax + by = c. A straight line is a figure formed by connecting two points A (x1, y1) and B (x2, y2) with the shortest distance possible and extending both ends to infinity.Thus, a linear equation to variables x and y has the following standard form: Ax + By = C, where A, C and B are constant.
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Need a hand can anyone offer?
The missing statements and reasons are;
Statement 4; m∠ABC = m∠BED
Reason 4: Corresponding Angles Theorem
How to Interpret Two Column Proof of Angles?We are given the two column proof table of the angles as;
Statement 1; BC is parallel to ED
Reason 1; Given
Statement 2; m∠ABC = 70°
Reason 2: Given
Statement 3; m∠CED = 30°
Reason 3: Given
Statement 4; m∠ABC = m∠BED
Reason 4: Corresponding Angles Theorem
Statement 5; m∠BEC + m∠CED = m∠BED
Reason 5: Angle Addition Postulate
Statement 6; m∠BEC + 30° = 70°
Reason 6: Substitution Property of Equality
Statement 7; m∠BEC = 40°
Reason 7: Subtraction Property of Equality
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-57 = 3(y-7) heeeelpp
Answer:
y = 26
Step-by-step explanation:
Distribute :
57 = 3y-21
do plus 21 then add it with 57
then you get 78=3y
divide 78 by 3
and y equals 26
this is 8th grade math its not hard lol but your welcome <3
G(x)=-3x-8
G(____)=10
Answer: x = -6
Step-by-step explanation: First, you want to set up the equation as -3x-8 = 10, as we’re trying to find x. Then you would add 8 to both sides to get rid of the -8. This leaves you with -3x = 18. Then you would divide by -3 on both sides to isolate the x. This leaves you with x = -6. If you plug -6 back into the equation:
-3(-6) -8
18-8
10, so g(-6) is 10.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
the answer is D because the female part of the flower is named by pistil
Answer:
D. pistil
Step-by-step explanation:
The pistil is the female part of the flower.
in a school the number of workers is w. The number of learners is eight times the number of teachers. The number of workers is nine less than the number of teachers. How many people are in the school.
Answer: 576
Step-by-step explanation:
Combine like terms.I need help of these can you help me?
Given:
an expression is given as below
[tex]2y^3-4x^2-4-1+3x^2-3y^3-y^3[/tex]Find:
we have to combine like terms.
Explanation:
we will combine like terms as follows
[tex]\begin{gathered} 2y^3-4x^2-4-1+3x^2-3y^3-y^3=y^3(2-3-1)+x^2(-4+3)-4-1 \\ =-2y^3-x^2-5 \end{gathered}[/tex]Therefore, the answer is
[tex]-2y^3-x^2-5[/tex]Two companies are competing for a contract to make the programs for the high school football games. Howie's Printing charges a $19.99 fee for printing and $0.25 for each program printed. Mint Print charges a $29.99 fee for printing and $0.10 for each program printed. For what number of programs will Howie's Printing cost more than Mint Print?
i need this now tooooooo
Considering the definition of an inequality, for more than 67 number of programs Howie's Printing will cost more than Mint Print.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values, in addition to certain known data.
The solution of an inequality is the value or set of values that the variable has so that the inequality is fulfilled.
Number of programs in this caseBeing "x" the number of program printed, you know that:
Howie's Printing charges a $19.99 fee for printing and $0.25 for each program printed. → Howie's Printing charges= 19.99 + 0.25xMint Print charges a $29.99 fee for printing and $0.10 for each program printed. → Mint Print charges= 29.99 + 0.10xIf Howie's Printing cost more than Mint Print, the inequality that expresses the previous relationship is
Howie's Printing charges > Mint Print charges
19.99 + 0.25x > 29.99 + 0.10x
Solving:
0.25x - 0.10x > 29.99 - 19.99
0.15x > 10
x > 10÷0.15
x > 66.67≅ 67
Finally, the number of programs is more than 67.
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What’s the answer pls
Answer:
B. Adjacent
Hope this helps!
Answer:
adjacent ..................
I need help with this asap
The length of side s is 11.7 cm (to a tenth of a cm).
What is a sine function in trigonometry?The sine function in trigonometry is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle. A right triangle's unknown angle or sides are determined using the sine function.
Given:
In right angled triangle ΔVST,
Length of side VS = 5.3 cm
Length of side VT = s cm
The measure of ∠VTS = 27°
Using the sine function of Trigonometry,
sin θ = VS/VT
sin 27° = 5.3/s
s = 5.3/0.454 (sin 27° ≈ 0.454)
s ≈ 11.7 cm (to a tenth of a cm)
Therefore, the length of side s is 11.7 cm.
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Given two angles that measure 50° and 80° and a side that measures 4 feet, how many triangles, if any, can be constructed?
Remember that the sum of the three interior angles of a triangle is 180°.
Now, let's call the remaining angle x. We would have:
[tex]x+50+80=180[/tex]Solving for x,
[tex]\begin{gathered} x=180-50-80 \\ \Rightarrow x=50 \end{gathered}[/tex]From this, we get that the remaining anlge has to measure 50°. Now, as we already have a side that measures 4 feet, the other two sides are constrained; neither of them can have any measurement that's different to the one that constructs the remaining 50° angle.
Therefore, only one triangle can be constructed.
15 + 6x = 3 ( x - 1 )
Answer:
x = -6
Explanation:
a ) 1 : 2 = ____ : 4
could somebody help me awnser that
Answer: 1:2 = 2:4
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2 ÷ 4 = 2
1 x 2 = 2
so 2 is your answer
Which inequality correctly compares 23%, 0.85, and four and one fourth?
A 0.85 < four and one fourth < 23%
B four and one fourth < 0.85 < 23%
C 0.85 < 23% < four and one fourth
D 23% < 0.85 < four and one fourth
By writing all the numbers as decimals, we can see that the correct option is D, the correct inequality is:
23% < 0.85 < four and one fourth
Which inequality correctly compares the 3 numbers?
Here we have 3 numbers, which are:
0.85
23%
4 + 1/4.
So we have a decimal number, a percentage number, and a mixed number, let's write all of them as decimal numbers.
For the percentage, to get the decimal form we just need to divide it by 100%, so we will get:
23%/100% = 0.23
For the mixed number we have:
4 + 1/4 = 4 + 0.25 = 4.25
Then our 3 numbers are:
0.85
23% = 0.23
4 + 1/4 = 4.25
Then the correct order is:
23% < 0.85 < 4 and 1/4.
So the correct inequality is the one in option D.
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Answer:
d
Step-by-step explanation:
