Answer:
1.a. E>D
b. E<F
2. Yes. There are multiple combinations on how to do number 1. The first question asks how for a, you need a letter that is bigger than another letter, and for b, you need a letter that is smaller than the other letter's value. There are many ways to go about that previous problem.
Step-by-step explanation:
Hello!
To solve this question, we first need to realize that this is a simple number line. A number line is just a line that contains multiple points from the left being negative, middle is zero, and right becoming increasingly positive.
In this case, D is zero, and A-C are deemed negative. E-F are positive.
For a, we need to find a point that is bigger than another point.
We have various answers for this. F is bigger than A-E, E is bigger than A-D, D is bigger than A-C, C is bigger than A-B, and B is bigger than A. As long as any of your answer goes along this format it is correct.
B is asking a number that is smaller than that said number. A is smaller to B-F, B is smaller to C-F, C is smaller to D-F, E is smaller to F. So again, any letter combination that falls within this category is correct.
For the last one, there are multiple combinations, meaning there is just not one answer that fulfills that question.
Diego drank x ounces of juice. Lin drank 1/8 less than that.
Answer:
Step-by-step explanation:
On the grid above, flag F is rotated around point S. Which of the images does NOT result from this transformation?
A.
image 3
B.
image 2
C.
image 1
D.
All of the images result from this transformation
.
A figure in the flag has rotational symmetry if the figure can be mapped onto itself by a rotation between 0° and 360° about the center of the figure.
What is symmetry?Symmetry in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it.To learn more about symmetry refer to:
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A school district can send a representative to the state spelling bee for every 50 students in the school district that year. There are 5 schools woth a b c d e students respectively. Write an algebraic expression to show how many representatives r, the students will have in any year?
An algebraic expression to show representatives r, the students will have in any year is r=(a+b+c+d+e)/50.
What is Expression?An expression is combination of variables, numbers and operators.
Given, that school district can send a representative to the state spelling bee for every 50 students in the school district that year.
There are 5 schools woth a b c d e students respectively.
We need to find the algebraic expression to show how many representatives r, the students will have in any year.
r=(a+b+c+d+e)/50
THe above expression is used to represent the representives.
Hence, (a+b+c+d+e)/50 is an algebraic expression to show representatives r, the students will have in any year
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ASAP What is the volume of a sphere, to the nearest cubic inch, if the radius equals 3 inches? Use π = 3.14. A. 101 in³ B. 210 in³ C. not given D. 96 in³
Answer: C. not given
Step-by-step explanation:
formula for volume of sphere: V=(4/3)πr³
V=(4/3)πr³
V=(4/3)(3.14)(3)³
V=(4/3)(3.14)(27)
V=113 in³
Answer:
C. Not given
V≈ 113 in³
Step-by-step explanation:
The volume of a sphere can be found using the following formula.
\(V= \frac{4}{3} \pi r^3\)
We know the radius is 3 inches and we are using 3.14 for pi. Therefore, we can substitute \(3 in\) in for \(r\) and \(3.14\) in for \(\pi\)
\(V= \frac{4}{3} *3.14* (3 in)^3\)
Evaluate the exponent first.
(3 in)³= 3 in * 3 in * 3 in = 9 in² * 3 in = 27 in³
\(V= \frac{4}{3} *3.14* 27 in^3\)
Multiply 3.14 and 27 in³
\(V= \frac{4}{3} * 84.78 in^3\)
Multiply 4/3 and 84.78 in³
\(V= 113.04 in^3\)
Round to the nearest cubic inch. The 0 in the tenth place tells us to leave the 113 as is.
\(V= \approx 113 in^3\)
Since 113 cubic inches is not an answer choice given, the correct answer is C. not given
PLZ HELP
Draw a non-square rectangle or parallelogram or an isosceles trapezoid in the coordinate
plane so that portions of the shape are in each of the four quadrants. Explain what would
happen to your shape if you transformed it using each of the given rules.
2. (-x, -y)
1. (x, y)
4. (x, y + 3)
3. (x - 4, y)
6. (4x, 4y)
5. (r - 1, y + 4)
8. (2x, y-1)
Answer:
Step-by-step explanation:
Following changes will be there when the figure is transformed by the given rules.
1). Rule for transformation has been given as,
(x, y) → (x, -y)
Reflection across x axis.
2). (x, y) → (-x, -y)
Rotation of 180° about the origin.
3). (x, y) → (x - 4, y)
Shifted 4 units left horizontally.
4). (x, y) → (x, y + 3)
Shifted vertically up by 3 units
5). (x, y) → (x - 1, y + 4)
Shifted 1 units left horizontally and 4 units up vertically.
6). (x, y) → (4x, 4y)
Dilated by 4 units.
Find the square of (2a+b)
Answer:
4a^2+4ab+b^2
Step-by-step explanation:
To find the square we multiply the expression with itself
(2a+b)×(2a+b) = 4a^2+4ab+b^2
Question 2 of 15
Which digit is in the hundredths place?
5.629
A. 5
O B. 9
O C. 6
D. 2
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
solve for x in the equation x2+6x-6=10
Answer:
Step-by-step explanation:
\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)
Answer:
X = 2 and X = -8
Step-by-step explanation:
X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10
X2 + 6X -16 =0
here we need to find if there are two numbers there sum is +6 and there product is -16.
here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8
-2+8= +6
-2*8= -16
( X - 2 ) * ( X + 8 ) =0
X - 2 = 0 ...... when -2 pass equality sign it will become+2
X = 2
X + 8 =0 ..... when +8 pass equality sign it will become -8
X = -8
Please I need help it’s an emergency
Answer:
C. 1.35 M
I hope it helps...
f(x)=x^2. What is g(x)?
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
2. AB = 3x + 2
AD = x +39
Answer:
x=18.5
u gotta do 3x+2=x+49
combine the like terms and it becomes 2x=37 then divide by 2 u get 18.5
plug it in as x and check if it's right
consider functions f and g
f(x)=4(x-3)^2+6
g(x)=-2(x+1)^2+4
which statements are true about the relationship between the function
1. The vertex of function g is 2 units below the vertex of function f
2. Function g opens in the opposite direction of function f
3. The vertex of function g is 4 units to the left of the vertex of function f
4. The vertex of function g is 4 units to the right of the vertex of function f
I think 1,2, 3 are correct Please verify
Answer:
1, 2, 3 are correct
Step-by-step explanation:
I got lazy and just graphed it
The correct statements are 1,2 and 3.
"The vertex of function g is 4 units to the left of the vertex of function f."
"The vertex of function g is 2 units below the vertex of function f."
"Function opens in the opposite direction of function f."
What is the quadratic function?In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree.
Here we have the two quadratic functions:
f(x) = 4(x - 3)²+ 6
g(x) = -2(x + 1)²+ 4
The x-value of the vertex is the value of x such that the first term becomes equal to zero, so for f(x) the vertex is at x = 3, and the y-value of the vertex is:
f(3) = 0 + 6 = 6
So the vertex is (3, 6)
For g(x) we can see that the vertex is at x = -1, and:
g(-1) = 0 + 4=4
So the vertex is at (-1, 4)
Also, you can see that for g(x) and f(x) the leading coefficients are of different signs. Meaning that f(x) opens upwards and g(x) opens downwards.
Hence, options 1,2 and three are correct answers.
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1) Solve for r: 4= r/8
2) What symbol makes the statement true? 27×(36_6)=162
3) Solve for h: 19h=15
Answer:
1) r = 32
2) symbol is '÷'
3) h = 15/19
Step-by-step explanation:
XYZ was reflected to form LMN. Which statements are true regarding the diagram?
Answer:
XYZ = LMN
Y = M
X = L
XZ = LN
Step-by-step explanation:
Y = 86, M = 86, M = Y
X = 38, L = 38, X = L
Z = 56, N = 56, Z = N
A,B,C,and F I just did this problem on edge
Solve negative four and one fifth ÷ two and one fourth.
A. one and 39 over 45
B. negative one and 39 over 45
C. negative eight and one twentieth
D. negative nine and 9 over 20
The value of the expression 4 1/5 ÷ 2 1/4 will be -28/15. Then the correct option is E.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The mixed fraction numbers are given below.
- 4 1/5 and 2 1/4
The mixed fraction number is converted into a fraction number.
-4 1/5 = -21/5
2 1/4 = 9/4
Then the division of the fraction numbers will be
⇒ -(21/5) ÷ (9/4)
⇒ -(21/5) · (4/9)
⇒ -28/15
Then the value of the expression 4 1/5 ÷ 2 1/4 will be -28/15.
Then the correct option is E.
The missing option will be negative 28 over 20.
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what is -11/40 - 0.278 in decimal form
(pls this is due tmr)
Answer:
-0.553
Step-by-step explanation:
First we convert the fraction into a decimal: -11/40 = -0.275
Then, add both numbers because when you subtract a negative from a positive, you are basicaly adding the numbers.
-0.275- 0. 278= -0.553
Have a great day!
what is the area of the figure below if the short base is congruent to the dotted segment?
Answer:
37.5 in^2
Explanation:
Given:
To find:
The area of the trapezoid
We'll use the below formula to determine the area(A) of the given trapezoid;
\(A=\frac{(sum\text{ of parallel sides\rparen}}{2}*h\)Length of short base of the trapezoid = 5 in
Length of long base of the trapezoid = 10 in
Height of the trapezoid(h) = length of short base = 5 in
Let's go ahead and substitute the given value into the equation and solve for A;
\(A=\frac{(5+10)}{2}*5=\frac{15}{2}*5=\frac{75}{2}=37.5\text{ in}^2\)So the area of the figure is 37.5 in^2
Which function is decreasing on the same interval as the function graphed here?
f (x)
61
N
-2
O A.
O B.
O c.
O D
4
2
-2
10
-41
2
A.
★
k (2) = -2x2 – 82 + 5
भ
Ko
j (±) = 22 + 4 – 4
=
9 (‡) = 322
- 12x + 18
h (x) = 2x2 + 8x + 3
The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.
To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.
Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.
Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.
Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).
Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).
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In the standard equation for a conic section Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, if A = C , the conic section in question is a circle
True
False
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
a machinist is making a gear that will pull a chain at 60 ft/min when rotating at 40 rev/min. What should the radius of the gear be? Answer in inches.
The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.
To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:
chain speed = 2 x pi x radius x rotational speed
where pi is a mathematical constant approximately equal to 3.14.
We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:
60 = 2 x 3.14 x radius x 40
Simplifying the equation, we get:
radius = 60 / (2 x 3.14 x 40)
radius = 0.2387 ft
To convert feet to inches, we can multiply the answer by 12:
radius = 0.2387 x 12 = 2.8644 inches.
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2{ 2[24 + 4(23 - 14) - 25]}
Answer:
140
Step-by-step explanation:
2{ 2[24 + 4(9)-25]}
2{ 2[24 + 36-25]}
2{ 2[35]}
2(70)
140
What is the slope of the line graph?
Answer: the slope is 2
Step-by-step explanation:
It goes up 2 and over 1
y/x
rise over run= rise/run
What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?
The answer is not 80 btw
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
Answer:
130°
Step-by-step explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
PLSSSSSSSSSSSSS HELP
Answer:
A=146
Step-by-step explanation:
0.15*146=21.9
28.1+21.9=50
Using a calculator or statistical software, find the linear regression line for the data in the table below.
Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.
x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66
Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.
To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.
Using the provided data, the linear regression line equation is:
\(\[ y = 1.3642x + 3.2324 \]\)
To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:
\(\[ y = 1.3642(7) + 3.2324 \]\)
Simplifying the equation, we get:
\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)
In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.
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calculate the length of TQ
Answer:
x = 21°, y = 42°, TQ = 3.75 cm
Step-by-step explanation:
In Δ SRT
∵ m∠RST = 21°, m∠STR = 117°
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ m∠RST + m∠STR + m∠SRT = 180°
∴ 21° + 117° + m∠SRT = 180°
→ Add the like angles
∴ 138° + m∠SRT = 180°
→ Subtract 138° from both sides
∴ m∠SRT = 42°
In the given circle
∵ ∠SRP and ∠SQP are inscribed angles subtended by the arc SP
→ Inscribed angles subtended by the same arc are equal in measures
∴ m∠SRP = m∠SQP ⇒ (1)
∵ m∠SRP = 42° , m∠SQP = y
∴ y = 42°
∵ ∠RSQ and ∠RPQ are inscribed angles subtended by the arc RQ
→ Inscribed angles subtended by the same arc are equal in measures
∴ m∠RSQ = m∠RPQ ⇒ (2)
∵ m∠RSQ = 21° , m∠RPQ = x
∴ x = 21°
∵ The chord SQ intersects the chord PR at the point T
∴ ∠STR and ∠PTR are vertically opposite angles
→ The vertically opposite angles are equal in measures
∴ m∠STR = m∠PTR ⇒ (3)
→ From (1), (2), and (3) the two triangles SRT and PQT are similar using
AAA postulate of similarity
∴ Δ SRT ≈ ΔPQT ⇒ AAA postulate
∴ Their sides are proportion
∴ \(\frac{SR}{PQ}=\frac{RT}{TQ}=\frac{ST}{PT}\)
∵ SR = 8.32 cm, PQ = 9.43 cm, RT = 3.31 cm
→ Substitute them in the ratio above
∴ \(\frac{8.32}{9.43}=\frac{3.31}{TQ}\)
→ By using cross multiplication
∴ TQ × 8.32 = 9.43 × 3.31
→ Divide both sides by 8.32 to find TQ
∴ TQ = \(\frac{(9.43)(3.31)}{8.32}\)
∴ TQ = 3.751598558
→ Round it to 2 d.p
∴ TQ = 3.75 cm
A packet of biscuits is shared between two people so that
one person gets three times as many as the other. Write
down the ratio involved. If there are 20 biscuits in the
packet, how many does each person get?
Answer:
Ratio 3 : 1
First person 5 biscuits
Second person 15 biscuits
Step-by-step explanation:
“one person gets three times as many as the other” means “the ratio is 3 to 1 or just 3 : 1”
………………………
Let x be the number of biscuits that the first person got then the second person should get 3x biscuits.
It’s clear that we have to solve this equation:
x + 3x = 20
Solving:
x + 3x = 20
⇔ 4x = 20
⇔ x = 20/4 = 5
Final answer:
First person: 5 biscuits
Second person: 3×5 = 15 biscuits
Find the least common denominator (LCD) 5/12 and 1/2
Answer:
12 is the lcd
Step-by-step explanation:
because 12x1=12
and 2x6=12
Answer:
12
Step-by-step explanation:
Both 12 and 2 have the factor of 2 in common. (2)(12)/12 gives us the least common LCM (least common multiple) of 12.