What is the product?
(2y +3)(3y^2+ 4y +5)
Answer:
6y^3 + 17y^2 +22y + 15
Step-by-step explanation:
Multiply each term in the first expression by each term in the second expression and combine like terms.
How many dolls can Julie and Erin make with the amount of black velvet they have? Complete the model to represent the problem.
in how many ways can a principal choose 3 of their 30 teachers to attend a conference
need ko po ng explanation please.....
Answer:
[tex]4,060[/tex]
Step-by-step explanation:
[tex]\binom{30}{3}=\boxed{4060}[/tex]
There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.
Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.
Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].
Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]
The height of the trap is 30 inches, the length is 12 inches, and the width is 10 inches. What is the surface area that you need to coat with glue? Remember there is no top or bottom to this trap and you are just coating the outsides of it.
Answer:
Surface area of four outer sides = 1,320 inch²
Step-by-step explanation:
Given:
Height of trap = 30 inches
Length of trap = 12 inches
Width of trap = 10 inches
Find:
Surface area of four outer sides
Computation:
Lateral Surface area of cuboid = 2h[l + b]
Surface area of four outer sides = Lateral Surface area of cuboid
Surface area of four outer sides = 2h[l + b]
Surface area of four outer sides = 2(30)[12 + 10]
Surface area of four outer sides = 2(30)[22]
Surface area of four outer sides = 1,320 inch²
What is the measurements for me b ?
Answer:
Step-by-step explanation:
Angle b and the one that measures 76 are vertical angles. That means that they also have the same exact angle values. Therefore, b = 76 degrees
Give the Solution to the System of
Equations shown below
YA
6
5
4
3
2
1
-4
-3
-2
10
1
2
3
-1
2
Answer:
Step-by-step explanation:
-10 g
type of lines can be found in letter T vertical and _______
Answer:
Horizontal
Step-by-step explanation:
find the inverse of the given function h(x) = 2x-4/3
Answer:
[tex]h^-^1(x)=0.5x+1.5[/tex]
Step-by-step explanation:
Finding the inverse of a function is similar to solving for the complete opposite of a function. An easy trick to do so is the think of the resulting value (h(x)) as another variable. Solve the equation for (x) in terms of (h(x)). Finally, switch the variable and evalutator so that one has the funciton in inverse function notation.
[tex]h(x) = 2x - \frac{4}{3}[/tex]
Inverse operations,
[tex]h(x)=2x-\frac{4}{3}\\\\h(x)+\frac{4}{3}=2x\\\\\frac{h(x)+\frac{3}{4}}{2}=x[/tex]
Simplify,
[tex]0.5(h(x))+1.5=x[/tex]
Write in inverse function notation,
[tex]h^-^1(x)=0.5x+1.5[/tex]
Find the value of x.
Answer:
x=9
Step-by-step explanation:
so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9
Answer:
x=9
Step-by-step explanation:
missing angle + 60 + 60=180 degree (sum of interior angles of a triangle
missing angle + 120 =180
missing angle =180 -120
missing angle =60 degree
since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9
Please help me on this problem, im struggling
Answer:
a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.
Laura has a set of 16 books. Each book in the set weighs the same. One book has a weight of 0.8 kilograms (kg). Laura wants to find the total weight, w, of the set of books.Which equation and solution shows the total weight of the set of books A.
w=16×0.8w=12.8 kg, B.w=16−0.8w=15.2 kg
c.w=16+0.8w=16.8 kg D.w=16÷0.8w=20.0 kg
a) How many possible outcomes are there when 3 coins are tossed? b) What is the probability of getting 3 heads? c) What is the probability of getting exactly one heads?
Answer:
a) there are 6 possible outcomes. b) the probability of getting 3 heads would be 3/6. c) the probability of getting 1 head is 1/6.
At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
please don't leave a link just answer
Answer:
y is 8/5 when x = -4.
Step-by-step explanation:
If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.
If "y=-8,when x=20," then we can find k: -8 = 20k, or k = -2/5.
Then y = (-2/5)x.
If x = -4, then y = (-2/5)(-4) = 8/5
y is 8/5 when x = -4.
No files just type it in please and thank you<3
Answer:
Option C is correct
Step-by-step explanation:
[tex]8 + 8 + 8 + 8 + 8 + 8 = 48[/tex]
[tex]6 \times 8 = 48[/tex]
Hope it is helpful...Acri invested $500 for 3 years at the rate of 2.8% per year compound interest. Calculate the final amount he has after 3 years
Answer:
[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]
A = 500(1 + .028/1)^ (3*1)
$543.19
Step-by-step explanation:
What is the value of the expression, written in standard form?
Answer:
200
Step-by-step explanation:
6.6/3.3 = 2
10^-2 / 10^-4 = 10^2
10^2 = 100
2 x 100 = 200
I need help with math 2 on gradpoint I’ll literally pay anyone because I need the class to graduate.
At Mike’s Pet shop there are 300 total animals and the ratio of cats to dogs is 7:3. At Pets R Us there are 150 total animals and the ratio of cats to dogs is 6:4. What fraction of the total animals at both stores are cats? Show your work
Mikes pet shop: add the ratio: 7+ 3 = 10
Divide total animals by the sum:
300/10 = 30
The ratio of cats is 7
Total cats = 30 x 7 =210
Do the same for Pets R Us:
Ratio: 6 + 4 = 10
150/10 = 15
Cats = 15 x 6 = 90
Total cats = 210 + 90 =300
Total animals = 300 + 150 = 450
Fraction that are cats = 300/450 = 2/3
2/3 of the animals are cats
3. Find the measure of each indicated arc or the measure of an inscribed angle.
b. Find the measure of Arc BAD
Answer:
Step-by-step explanation:
Arc BAD is intercepted by inscribed angle BCD which measures 110. The rule is that an intercepted arc is twice the measure of the angle that intercepts it. Therefore, arc BAD is 110(2) which is 220.
help appreciated!!!!!
Answer:
Step-by-step explanation:
the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.
So ,here a=-1 ,b=-6 and c=-9
b^2=(-6)^2
=36
4ac=4*(-1)*(-9)
=4*9
=36
b^2-4ac=36-36
=0
number of solutions =1
Hope this helps u !!
If two lines are perpendicular, their slopes are negative reciprocals
Answer:
true
Step-by-step explanation:
Answer:
True
Both slopes have to be negative reciprocals for the two lines to be perpendicular.
Hope this Helps!
Circle o centered at the origin that passes through (9,-2)
Answer:
Step-by-step explanation:
center at the origin means
x^2 + y^2 = r^2
9^2 + (-2)^2 = 81+4 = 85, so the circle is
x^2 + y^2 = 85
center at (0,-2) means
x^2 + (y+2)^2 = r^2
(-6)^2 + (0+2)^2 = 36+4 = 40
x^2 + (y+2)^2 = 40
The equation of circle which is centered at the origin that passes through (9,-2) is,
⇒ x² + y² = 85
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
Circle o centered at the origin that passes through (9,-2).
Now, We can find the radius of circle as;
Radius of circle is distance between (0, 0) and point (9, - 2).
⇒ r = √ (- 2 - 0)² + (9 - 0)²
⇒ r = √4 + 81
⇒ r = √85
Thus, The equation of circle which is centered at the origin that passes through (9,-2) is,
⇒ x² + y² = (√85)²
⇒ x² + y² = 85
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Help,anyone can help me do quetion
geckos sundry cheri suffering augusto
Answer;
B3 = 72°
C3 = 84°
Solution
B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°
C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°
feedback
hope it helps you. thank you.
A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?
Answer
8,98
Step-by-step explanation:
the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs
Evaluate 5c−3d+115c-3d+115c−3d+115, c, minus, 3, d, plus, 11 when c=7c=7c=7c, equals, 7 and d=8d=8d=8d, equals, 8.
Answer:
use substitution
(5 x 7) - (3 x 8) + 11= 35 - 24 + 11= 22
Answer:
22
Step-by-step explanation:
Need help with this math
Here is all of my work from answering the question. I’ll put pictures too, my handwriting is pretty good so it should be easy to see. ;)
Part A-
1) 4x-3 = -2x+9
2) 4x+2x -3 = -2x+2x + 9
3) 6x -3 = 9
4) 6x -3+3 = 9+3
5) 6x = 12
6) 6x/6 = 12/6
7) x = 2
Part B-
1) y=4x-3
2) y=4(2)-3
3) y=8-3
4) y= 5
Therefore, x = 2 and y = 5.
I used substitution in Part B. 4x and x = 2.
I really hope this is right and helps, good luck! ;)
A bus is traveling between two cities that
are in neighboring states. The graph of
the function d(t) = 60|t − 1.25| shows the
distance of the bus in miles from the state line,
where t represents time in hours.
a. What does the graph tell you about the bus ride?
b. What is the average rate of change from 1.5 h to 2 h? What does the
average rate of change represent?
Answer:
(a). The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.
b.
[tex]s _{1} = \frac{d _{1} }{t _{1} } \\ = \frac{15}{1.5} \\ s _{1} = 10 \: miles \: per \: hour \\ \\ s _{2} = \frac{d _{2} }{t _{2}} = \frac{45}{2} \\ = 22.5 \: miles \: per \: hour \\ average = \frac{22.5 + 10}{2} \\ = 16.25 \: miles \: per \: hour[/tex]
a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.
b)The average rate of change represent is 16.25 miles per hour.
What is a function rule? A functional rule is the relationship between an input or domain and an output or scope.A relation is a function only if it has a value within each domain value.Functions are written like where is the input value. The general form of the function is:A vertical test is run graphically to determine if the relationship is a function.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.
b)
s1 = d1/t1
15/1.5
s1 = 10 miles per hour
s2 = d2/t2
22.5 miles per hour
Average = 16.25 miles per hour.
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Anna is cutting several lengths of twine. The length of the first piece is 4 inches. She cuts the second piece one inch longer than 3 times the length of the first piece. If Anna continues the pattern, which sequence shows the lengths of the first four pieces?
Answer:
the pattern is 4, 13, 4, 13. I dont know what the answer choices are, but the first 4 legths put together are 34 inches.
Step-by-step explanation:
look above, hope this helps...
brainliest...
Answer:
The order of the first four strings is 1: 4in 2: 13in 3: 40in 4: 121in
Write a numerical expression for the verbal expression
eight times six divided by two minus nine
Answer:
Step-by-step explanation:
Ahh
35 and 50 (make a chart, list all factors, and make factor tree)
Answer:
35 50
1 2
5 5
7 10
35 25
50
Factor Trees are in the images!