Given f(x) = 5x ^ 2 and g(x) = x ^ 3 + 2x ^ 2 - 5x , what is f(x) * g(x)
Answer:
Step-by-step explanation:
f(x) * g(x) = (5x**2) * (x**3 + 2x**2 - 5x) using distribution of 5x**2 to all terms
= 5x**5 + 10x**4 - 25x**3
= 5x**3(x**2 + 2x - x)
there is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?
Answer:
60/121
Step-by-step explanation:
There are two outcomes that are included in the event "2 different in color" -- either Red followed by Blue (RB) or Blue followed by Red (BR).
Probability of RB is [tex]\frac{5}{11}\times \frac{6}{11}=\frac{30}{121}[/tex] The denominator 11 does not change in the second fraction because you put the first marble back; still 11 marbles in the bag.
Probability of BR is [tex]\frac{6}{11} \times \frac{5}{11}=\frac{30}{121}[/tex]
Probability of RB or BR: add the probabilities to get 60/121.
If I get 2 answers will vote one brainliest! please help!
Answer:
28
Step-by-step explanation:
The answer is 28 because this triangle will add up to 180 degrees and 79 + 73 = 152 and
180 - 152 = 28 so 28 is our missing angle!
Hope this helps you!
Answer:
x = 28
Step-by-step explanation:
180 - 79 = 101
101 - 73 = 28
Consider the diagram and angle measurements shown below.
m1 = (x + 14)
m3 = (3y + 7)º
m4 = (5y - 73)
m5 = (3x - 54)
What is m2?
Find the length of the segment shown below. Round your answer to the nearest tenth.
Answer:
6.4
Step-by-step explanation:
5^2 + 4^2 = c^2 (pythagoras)
c^2 = 41
c = 6.4
When an octave is divided into twelve equal steps, a chromatic scale results. The ratios between sucessive notes is
constant.
IC C# D D# E F F# G G# А A# B с
261.6 277.2
293.6
329.6 349.2 370.0 392.0
1440 466.1 493.8 523.2
Determine the missing frequency for G# and D# using the ratio 1.0595. Round to the nearest tenth. What is the ratio
of frequencies between G# and D#? Would these two notes be consonant or dissonant?
4
1.338
consonant
31
a.
b.
3
1.338
41
consonant
c.
14
1.338
4
dissonant
d.
1.33
4
3
dissonant
Answer: They would be A.
Step-by-step explanation: Don't take my word for it 100%
The missing frequencies for G# and D# in the given equal temperament octave is 311.1 and 415.3 respectively. The ratios of frequencies between G# and D# is 1.33.
What is an equal temperament octave?The equal tempered scale is the common musical scale used at present, used for the tuning of pianos and other instruments of relatively fixed scale. It divides the octave into 12 equal semitones. The ratio between successive notes is constant and it is 1.0595.
With reference to the image attached in the question,
Since we know that ratio between successive notes is 1.0595.
This implies,
[tex]\frac{C\#}{C} = \frac{277.2}{261.6} = 1.0595\\\\[/tex]
Or we can say that, C# = 1.0595C
Similarly,
D# = 1.0595D = 1.0595 * 293.6 = 311.1
G# = 1.0595G = 1.0595 * 392 = 415.3
The ratios of frequencies between G# and D# = [tex]\frac{G\#}{D\#} = \frac{415.3}{311.1} = 1.33 = \frac{4}{3}[/tex]
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Carmen saved 592 pennies. Her sister saved 128 pennies. Together, they put 250 pennies in wrappers and took them to the bank. What is the total number of pennies, rounded to the nearest hundred, Carmen and her sister have left?
Answer:
500 pennies
Step-by-step explanation:
Given that
Carmen saved 592 pennies.
Her sister saved 128 pennies.
Together, they put 250 pennies in wrappers and took them to the bank
We need to find out the total number of pennies Carmen and her sister have left
So,
= 592 pennies + 128 pennies - 250 pennies
= 470 pennies
= 500 pennies
Find the volume of the sphere.
Either enter an exact answer in terms of T or use 3.14 for and
4
Answer:
268 units³
Step-by-step explanation:
V = 4/3 (pi)r³
V = 4/3 (3.14) (4³)
V = 4/3 (3.14) (64)
V = 4/3 (200.96)
V = 268
3. A basket of beads contains 8 red beads, 6 yellow beads, and 6 green beads. A
bead will be drawn from the basket and replaced 150 times. What is a reasonable
prediction for the number of times a green bead is drawn?
A. 45
B. 60
C. 36
D. 72
arere
Answer:
A) 45
Step-by-step explanation:
P(green) = 6/20
6/20 = x/150
20x = 900
x = 45
please help!! I'm really confused:(
[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]
[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]
Answer: 120 cans.
Divide. Express your answer in simplest form. 6 1/4 divided by 2/5. Show work pls.
Answer:
15 5/8
Step-by-step explanation:
6 1/4 divided by 2/5
convert mixed numbers to improper fraction: 6 1/4 = 25/4
= 25/4 divided by 2/5
= 25/4 times 5/2
= 25 times 5/4 times 2
= 125/4 times 2
= 125/8
= 15 5/8
[tex]15 \frac{5}{8} [/tex] ✅
Step-by-step explanation:
[tex] \frac{6 \frac{1}{4} }{ \frac{2}{5} } \\ = \frac{25}{4} \times \frac{5}{2} \\ = \frac{125}{8} \\ = 15\frac{5}{8} [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
martinbly.com
b)
Find the surface area of the prism.
10 ft
12 ft
5 ft
16 ft
19.6 ft
Answer:
55.5
Step-by-step explanation:
Brooks Middle School ordered 712 pizzas on Monday for lunch. The teachers ate 13 of the pizzas for lunch. How many pizzas did the staff eat on Monday? Write a number sentence to support your answer
Answer:
Step-by-step explanation:
Brooks Middle School ordered 7 1/2 pizzas on Monday for lunch. The teachers ate 1/3 of the pizzas for lunch. How many pizzas did the staff eat on Monday?
This is calculated as: 1/3 of 7 1/2
= 1/3 × 7 1/2 pizzas
Write a number sentence to support your answer
What is the truncation error for S4?
The truncation error for S4 is 4.6875
What is truncation error?Truncation error is defined as the difference between the true (analytical) derivative of a function and its derivative obtained by numerical approximation.
In the given Truncation error formula put n= 4
On substitution n value from 1 to 4
5/16 +5/8 + 5/4 + 5/2 = 4.6875
Thus the truncation error for S4 is 4.6875.
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Answer:
A
Step-by-step explanation:
edg 2023
Can someone help me please!!
Help would be appreciated for this question!!!
Answer:
A
Step-by-step explanation:
Recall that sin = opposite over hypotenuse
For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.
The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse
we are given that the legs = 2 and 4 and need to find the hypotenuse
That being said we plug in what we are given and solve for c
[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]
In order to get the exact value of c we must get rid of the exponent.
To do so we can take the square root of both sides
[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]
hence, the hypotenuse = √20
Now lets look back at the question
Find sin∠A to the nearest hundredth.
well remember sin = opposite over hypotenuse
The opposite of sin∠A is 2 and the hypotenuse is √20
Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595
Our last step is to round to the nearest hundredth
We get the sin∠A = .45
A bag contains 4 blue and 6 green marbles. Two marbles are selected at random from the bag. find each of the following probabilities round your answer two decimals if needed
Answer:
dicailmal 4.6 and ratioal 4:6 dont add this but this will also work 4/6
Step-by-step explanation:
Answer: don’t know the “following probabilities but I have included answers below
Step-by-step explanation:
4 blue + 6 green = 10 total
probability of getting green once and blue next: 6/10*4/9 = 24/90 or about 0.27
probability of green both times: 6/10*6/9 = 36/90 or 0.4
probability of blue first then green next: 4/10*6/9 = same as first answer (about 0.27)
probability of blue both times: 4/10*4/9 = 16/90 or about 0.18
Packages of pencils cost $3.00 per
dozen. If Mr. Thomas wants to calcul
how much he will pay for 180 pencils
what operation should he perform?
(A) Divide 180 by 3
(B) Multiply 3 by 15
(C) Multiply 180 by 12
(D) Divide 180 by 12
Answer:
a
Step-by-step explanation:
because if they are 3.00 dollars then you decide that bye 180 to get your answers
Answer:
B
Step-by-step explanation:
because 180 is 15 dozen so 15 times 3 would give you the right answer
Adrian took out a simple interest loan for $2000. The rate on this loan is 7% and he will pay it back in 5 years. How much money will Adrian owe at the end of 5 years including interest?
Answer:
i think its 700
Step-by-step explanation:
7%of 2000 is 140 and 140 x 5 is 700
Answer: $700 interest
Note that the formula for simple interest is I=Prt
1. Identify the Principal amount (P), rate (r), and time (t)
Principal amount=$2,000
Rate: 7% (0.07)
Time: 5 years
2. Plug the numbers into the formula; always make sure that the rate is in decimal form and the time is in years.
2,000*0.07*5=700
3. Final answer: $700
explain what a random sampling process is
Answer:
Simple random sampling is the most straightforward approach to getting a random sample. It involves picking the desired sample size and selecting observations from a population in such a way that each observation has an equal chance of selection until the desired sample size is achieved.
Please help! If 2 answers I will vote one brainliest
Suppose a normal distribution has a mean of 98 and a standard deviation of
6. What is P(x292)?
O A. 0.16
B. 0.475
C. 0.84
D. 0.975
The z-score of the value P ( x < 92 ) is given by z = -1 with standard deviation of 6 is P ( x < 92 ) = 0.16
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
Let the distribution be a normal distribution where
The mean of the data is μ = 98
The standard deviation is σ = 6
Now , the Z-score is determined by z = (x - μ)/σ
On simplifying , we get
when x = 92
P ( x < 92 ) is
z = ( 92 - 96 ) / 6
z = -1
So , the p value of P ( x < 92 ) is 0.1587
On rounding to the nearest value , we get
P ( x < 92 ) = 0.16
Hence , the z-score is solved
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seventeen less than a number is
Answer:
what number is it less than? i need that number to solve it
once you give it to me i will solve it
Step-by-step explanation:
Solve for X, please.
Answer:
35
Step-by-step explanation:
B
answer if you want too
Answer:
your picture isnt loading
Step-by-step explanation:
Jerome bought three T-shirts. The red one cost $7.97, the green one cost $11.49, and the black one cost $12.58. How much did they cost in all?
$6.88
$19.46
$32.04
$103.77
[tex] 7.9 \\ 11.94 \\ 12.58 \\ - - - - - \\ 32.04[/tex]
u gotta add them since they asked about their cost in all
The volume of Pyramid A is 704 cm3 and the volume of Pyramid B is 297 cm3. If the pyramids are similar and the surface area of Pyramid B is 153 cm2, what is the the surface area of Pyramid A?
Answer:
272 cm²
Step-by-step explanation:
Step 1
We have to find the scale factor
When given the volume of two solids, the formula for the scale factor is
V1/V2 = (Scale factor)³
The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³
V1 = Pyramid A
V2 = Pyramid B
704/297 = (scale factor)³
We simplify the left hand side to simplest fraction
The greatest common factor of 704 and 297 = 11
704÷11/297÷11 = (scale factor)³
64/27 = (scale factor)³
We cube root both sides
cube root(scale factor)³ = cube root (64/27)
scale factor = (4/3)
Step 2
(Scale factor)² = S1/S2
S1 = Surface area of Pyramid A =?
S2 = Surface area of Pyramid B = 153 cm²
Hence,
(4/3)² = S1/153
16/9 = S1/153
Cross Multiply
S1 × 9 = 16 × 153
S1 = 16 × 153/9
S1 = 272 cm²
Therefore, the Surface Area of Pyramid A = 272 cm²
help me asap please
Answer:
Step-by-step explanation:
6^7/6^3
=6^7-3
=6^4
i need help with this please i want to give up smh my head (no links)
Answer:
to fine the volume of a cone, you do [tex]\pi r^2*h/3[/tex], r is 3 and h is 4, so [tex]9\pi *4/3[/tex], the cylinder formula is [tex]\pi r^2*h[/tex], r=3 and h=12, so [tex]9\pi *12[/tex], so 12[tex]\pi[/tex]+108[tex]\pi[/tex], this gives a answer of 120[tex]\pi[/tex] or 376.991118431.... GL :)
Step-by-step explanation:
Grace has $15 in her bank account. She starts
saving $5 each week. Jose has $5 in his account
and is saving $10 each week. What is the slope of the line that represents Grace's bank account?
Answer:
[tex]\frac{5}{1}[/tex] or 5
Step-by-step explanation:
Using the data provided we would create the following equation to calculate Grace's bank account using the variable x to represent the number of weeks.
f(x) = 5x + 15
The slope of a function in such a function would be the value of that is being multiplied by x. The numerator would be the numberof units it is rising in a graph while the denominator represents the number of units it is moving to the right. Since in this scenario, the number is a whole number (5) the denominator is automatically 1. Meaning that the slope is 5 units up for every 1 unit to the right.