Answer:
Step-by-step explanation:
7g-6+3n+4= 7g+3n-2
determine the surface area and volume
Answer:
surface area=214cm2, volume=183 cm3
Step-by-step explanation:
slanted height=√5^2+7^2 (Pythagoras theorem)
= √74
area of bottom part=π(5)^2
=25π
area of top cone part=π(5)(√74)
surface area of cone=25π+π(5)(√74)
=214 cm2(to 3 s.f.)
volume of cone=1/3π(5)^2×7
=183 cm3(to 3 s.f.)
Help immediate... What are the like terms and to simplify fully. -7y^2-6-2-6x+x
Answer:
the fully simplified expression is: \(-7y^2+7x-8\)
Step-by-step explanation:
The like terms are:
-6 and -2, which combined give -8
and 6 x and x, which combine give 7 x
So the simplified form of this is:
\(-7y^2+7x-8\)
Just double checking my work did i select all that applied?
Answer:
i think yes but do whatever you want
a quadratic function is defined by f(x) = x*2 - 8x - 4.
Which expression also defines f and best reveals the max and mini of the function?
a) (x-4)*2 - 20
B) (x-4)*2 + 12
c) x(x-8) -4
d) (x-4)*2 + 20
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A
How to find the expressionThe vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.
In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:
\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)
From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).
The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is \((x - 4)^2 - 20.\)
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648 is a perfect cubes or not
Answer:
After grouping the prime factors in triplets, one factor 3 is left without grouping. Thus, 648 is not a perfect cube
Given right triangle ABC with altitude CE. By the Right Triangle Altitude Theorem, which similarity statement is true?
△ABC ∼ △EBC
△ABC ∼ △AEC
△ABC ∼ △CBE
△ABC ∼ △BCE
(40 points)
Step-by-step explanation:
By the Right Triangle Altitude Theorem, the two triangles formed by the altitude of a right triangle are similar to the original triangle and to each other.
In this case, triangle ABC is the original right triangle and CE is the altitude. Therefore, the similarity statement that is true is:
△ABC ∼ △AEC
This is because triangles ABC and AEC are both right triangles that share the angle at C, and the altitude CE creates two pairs of congruent angles (the right angles and the angle at A and E) and a pair of proportional sides (CE and AE are corresponding altitudes).
So, we can write the similarity statement as:
△ABC ~ △AEC
May I please get help with other this problem for I am confused as I have tried multiple times to get the right answer
Using pythagoras
\(\begin{gathered} x^2=16^2+12^2 \\ x^2=256+144 \\ x^2=400 \\ \text{Take the square root} \\ x=20 \end{gathered}\)The final answer
\(20\)There are 47 contestants at a national dog show. How many different ways can contestants fill the first place, second place, and third place positions?
Answer:
97290
Step-by-step explanation:
47 different people can win first
47
Now there are only 46 people left
46 different people can win second
46
45 different people can win third
47*46*45
97290
A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 5 square inches. What is the area of the actual office space?
Answer: 30
Step-by-step explanation:
The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.
One lap around the school track is ; mile.
Carin ran 35 laps. How far did she run?
Well, in order for us to know, we first must have to understand how many miles it takes to get one lap around the school track.
One mile, as there is no more information pertaining to how many miles it takes to get around the school, would most likely equal to one lap, therefore she ran 35 miles.
If this is incorrect, provide me with more information on the question in the comments, and I will try to help as best as I can :)
11. Joe bought 3 pairs of jeans for $71.40. a. How much did he pay per pair? b. How much would be need to pay for 8 pairs of jeans? C. Solve by setting up a proportion
Answer:
$23.80 per pair, $190.4 for 8 pairs
Step-by-step explanation:
a. assuming each pair of jeans is the same price, just divide the total by 3. the price per pair is 71.40/3, which is $23.80 per pair
b. simply multiply the price of one pair of jeans, as found above, by 8. 23.80*8 is $190.4 for 8 jeans
hope this helped!
Answer:
a. $23.80 per pair
b. $190.40
Step-by-step explanation:
3 pairs of jeans for $71.40
so the proportion is 71.40:3 = 23.8:1
23.8:1 = 8(23.8):8(1) = 190.4:8
The perimeter of parallelogram ABCD is 46 inches.What is DA?
3in
4in
8in
19in
Please help ASAP no rocky
Answer:
3
Step-by-step explanation:
What is the exact value of Tan(pi/12)
We have
0 < π/12 < π/2
and
tan(π/12) = sin(π/12) / cos(π/12)
Both sin(x) and cos(x) are positive for 0 < x < π/2, so we expect tan(π/12) to also be positive.
Recall the double-angle identities for cosine,
cos²(x) = (1 + cos(2x)) / 2
as well as the Pythagorean identity,
tan²(x) = sec²(x) - 1
and by definition,
sec(x) = 1 / cos(x)
Putting everything together, we have
tan(x) = √(1 / cos²(x) - 1)
tan(x) = √(2 / (1 + cos(2x)) - 1)
Let x = π/12. Then 2x = π/6, and cos(π/6) = √3 / 2, so that
tan(π/12) = √(2 / (1 + cos(π/6)) - 1)
tan(π/12) = √(2 / (1 + √3 / 2) - 1)
tan(π/12) = √(4 / (2 + √3) - 1)
tan(π/12) = √(4 / (2 + √3) - (2 + √3) / (2 + √3))
tan(π/12) = √((2 - √3) / (2 + √3))
tan(π/12) = √(7 - 4 √3)
How many joules of gravitational potential energy does a person have after they went up stairs that are 10 meters tall? Assume the person has a mass of 60 kilograms. And assume this takes place on earth.
9514 1404 393
Answer:
5880 J
Step-by-step explanation:
PE = mgh = (60 kg)(9.8 m/s²)(10 m) = 5880 J
will mark brainliest if correct!
Answer:
240
Step-by-step explanation:
The shape is made up of a rectangle and a triangle.
area = LW + bh/2
area = 20 * 10 + 20 * 4/2
area = 200 + 40
area = 240
Buster Posey of the Giants pounded 120 hits out of 375 at-bats, his hits consisted of 15 doubles, 8 triples, and 12 homeruns. What was his slugging average? (dont forget the singles)choices:A. 0.499B. 0.539C. 0.352D. 0.847
We have the following:
s is single
d is double
t is triple
h is homerun
hits is the total
h = s + d + t+ h
s = h - d - t - h
\(\begin{gathered} \text{SLG}=\frac{1\cdot s+2\cdot d+3\cdot t+4\cdot h}{AB} \\ s=120-15-8-12=85 \\ \text{SLG}=\frac{1\cdot85+2\cdot15+3\cdot8+4\cdot12}{375}=0.499 \end{gathered}\)The answer is the option A
2
Which fractions are equivalent to ? Choose ALL the correct answers.
4
4
6
4
6
8
6
12
57
Answer:
Step-by-step explanation:
4/4
8/6
4/6
The value of an industrial embroidery machine is decreasing according to the function defined by:
V(t) = 11,700(3)^-0.15
Where t is the number of years since the machine was purchased. What does the y-intercept represent?
A. The value of the machine after 3 years
B. The amount of time it takes for the value of the machine to reach zero
C. The rate at which the value of the machine depreciates
D. The original value of the machine
I think it is A. The value of the machine after 3 years
What do you think?
At a recent job fair, there were 2/3 as many inquiries about jobs in health care as in electronics and 50 fewer inquiries about teaching as electronics. A reported 430 inquiries were made about all three fields. How many inquiries were made about teaching?
Answer:
130
Step-by-step explanation:
Let h, t, e represent the number of inquiries in health, teaching, and electronics. The given relations are ...
h = 2/3e
t = e -50
h + t + e = 430
Using the first two equations, we can substitute into the third equation:
(2/3e) +(e -50) +e = 430
8/3e = 480 . . . . . . . . . . . . . collect terms, add 50
e = 180 . . . . . . . . . . . . . . multiply by 3/8
h = 2/3(180) = 120
t = 180 -50 = 130
130 inquiries were made about teaching.
_____
Additional comment
180 inquiries were made about electronics.
120 inquiries were made about health care.
thirty 5 points for this answer. no links.
4(a-2) = 2(a-4) + 2a
Answer:
a = 0
Step-by-step explanation:
4(a-2) = 2(a-4) + 2a
4a - 8 = 2a - 8 + 2a
4a - 2a - 2a = -8 + 8
0 = 0
This has infinitely many solutions.
Step-by-step explanation:
Any number you put for a would work to make them equal. Feel free to try it.
Partial credit
Leslie invests in a bank account that earns interest compounded quarterly. The expression 500(1.026) can be used to find the account balance in t years.
Part A
What was Leslie's initial investment?
Part B
What is the quarterly interest rate the account earns?
Part A :Leslie's initial investment: P = 500 .
Part B : The quarterly interest rate: r = 10.4%.
Explain about the compounded quarterly:A quarterly compounded rate means that the principal is compounded 4 times over the course of a full year. According to the compound interest procedure, if the duration of compounding is longer inside a year, the investors would receive higher future values for their investment.
The compounding formula is used to create the quarterly compounding formula.
A = P\((1 + r/n)^{nt}\)
A is the amount after compounding.
P is the principal.
r is the rate of interest.
t is the time in years.
n is number of times compounded (here n = 4 for quarterly)
Thus,
A = P\((1 + r/4)^{4t}\) ....eq 1
Given formula for the account balance in t years in Leslie bank account.
A = 500\((1.026)^{4t}\)
This can be written as:
A = 500\((1 + 0.026)^{4t}\)
A = 500\((1 + 0.026*4 / 4)^{4t}\)
A = 500\((1 + 0.104 / 4)^{4t}\) ..eq 2
P = 500
r = 0.104 = 10.4%
Thus,
Part A :Leslie's initial investment: P = 500 .
Part B : The quarterly interest rate: r = 10.4%.
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Complete question:
Leslie invests in a bank account that earns interest compounded quarterly. The expression 500\((1.026)^{4t}\) can be used to find the account balance in t years.
Part A
What was Leslie's initial investment?
Part B
What is the quarterly interest rate the account earns?
Solve 8x - 4y = 16 for y. A. y = 2x - 16 - B. y = -8x+16 C. y = 2x - 4 - D. y = 8x + 4
Answer:
C. y = 2x - 4
Step-by-step explanation:
the correct answer is: C y = 2x - 4. The value of y for given expression is y = 2x - 4
To solve the equation 8x - 4y = 16 for y, we need to isolate y on one side of the equation. Let's proceed with the steps:
1. Move the term containing y to the other side of the equation:
8x - 4y = 16
Subtract 8x from both sides:
-4y = 16 - 8x
2. Divide both sides by -4 to solve for y:
y = (16 - 8x) / -4
Now, let's simplify the expression for y:
y = -16/4 + (8x)/4
y = -4 + 2x
So, the correct answer is:
C. y = 2x - 4
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On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
The statement that is true about the function is:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).What is the function of a graph?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have:
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.
Hence, the correct option is A.
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Find the sum of -6x^2-1−6x 2 −1 and x+9x+9.
Answer:-6x^2+10x-5.
Step-by-step explanation: -6x^2-1−6x 2−1+x+9x+9 -6x^2-1−6x 2−1+10x+9 -6x^2-1-12−1+10x+9 -6x^2+10x-1-12-1+9 6x^2+10x-5
The sum of the two expressions are -6x²+22x+9
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here the expressions here as -6x²+1+6x ×2-1, x+9x+9
The sum is -6x²+1+6x ×2-1 +x+9x+9=-6x²+22x+9
Hence, The sum of the two expressions are -6x²+22x+9
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Gabriela drank three fourths of her glass of milk and jenny drank six eighths of her glass of milk if the glasses were the same size did they drink the same amount ? Use cross multiplication to prove your answer
Answer:
just croos multi
Step-by-step explanation:
its very easy
A recipe for a dessert calls for 1/4 cup of powdered sugar and 2/6 cup of brown
sugar. What is the total amount of sugar needed for the recipe?
Answer:
7/12 cup
Step-by-step explanation:
3/12+4/12
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
Bob and Laquisha have volunteered to serve on the Junior Prom Committee. The names of twenty volunteers,
including Bob and Laquisha, are put into a bowl. If two names are randomly drawn from the bowl without
replacement, what is the probability that Bob's name will be drawn first and Laquisha's name will be drawn
second?
Answer:
1/380
Step-by-step explanation:
Probability of Bob's name drawn first is:
1/20 as there are 20 people with equal chanceAnd probability of Laquisha's name drawn second is:
1/19 as there are 19 people left with equal chanceProbability of the two events happening is:
1/20*1/19 = 1/380 product of individual probabilitiesAnswer:
Hey there!
1/19 (1/20)=1/380, so the probability is 1/380
Let me know if this helps :)
It is expected that 30% of the criminals in our prisons are violent offenders, 65% are nonviolent, and 5% are actually innocent. A sample of 300 inmates showed that 90 were violent offenders, 200 were nonviolent, and 10 were innocent. At the .05 significance level, can we conclude that the observed frequencies are different than the expected frequencies?
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.