Answer:
1 1/20
Step-by-step explanation:
I'm not sure how to explain this but it's the correct answer. Plz mark brainliest.
Answer:
1 1/20
Step-by-step explanation:
Solve for m.
6 - 2
6 + 2
2 - 6
Answer:
\(m=6+2\sqrt{5}\)
Step-by-step explanation:
Simplify( (-4/5)^-2)^2
In a survey, it was found that 4 out of 10 students have a pair of sunglasses. How many students would you expect to have a pair of glasses out of a group of 45 students
Answer:
18
Step-by-step explanation:
4 out of 10 is 4/10 = 0.4
0.4 of 45 = 0.4 * 45 = 18
Answer: 18
The sum of two numbers is 49. The smaller number is 21 less than the larger number. What are the numbers?
Answer:
35,14
Step-by-step explanation:
I am so sorry if this is wrong
Answer: I would have to guess 35, 14
Step-by-step explanation:
5. Bryce gets a monthly allowance of $10 plus $1 for each
additional chore.
A) Determine if the situation is linear or not.
B) Determine if the situation is proportional or not.
C) Determine if the situation is a function or not.
How can you tell? Be sure to use the words input, output, slope and y-intercept in your
explanation.
Consider the information in the previous questions (Henry only has quarters, nickels, dimes and pennies). Is it mathematically possible for Henry to have exactly 23 pennies if he has a total of $2.41? Defend your conclusion with an equation for the sum of the coins and two or more complete sentences explaining your conclusion.
Answer:
NoStep-by-step explanation:
The total amount is $2.41.
If the are 23 pennies, then the amount excluding the pennies is:
$2.41 - $0.23 = $2.18This amount comprises quarters, nickels and dimes.
Each of them is multiple of 5:
Quarter = $0.25Nickel = $0.05Dime = $0.10Any amount made by the combinations of these has to be multiple of 5 cents. But the sum is $2.18, which is not multiple of 5 cents.
It means Henry can't make it.
Reasoning Tommy earned $57.00 in interest after 5 years on a principal of $300. His simple interest rate is 3.8%. Jane earned $93.60 in interest after 3 years on a principal of $800. Her simple interest rate is 3.9%. Which bank would you rather use, Tommy's or Jane's? Explain your reasoning.
If Reasoning Tommy earned $57.00 in interest after 5 years on a principal of $300. The bank you would rather use is: Jane's, because her bank offers a better interest rate.
What is interest rate?Interest rate can be defined as the rate or percentage that enables a borrower to know the interest they will pay on the amount loaned to them. On the other hand interest rate means the rate a person earn on their saved amount.
Based on the given scenario i would make use of Jane bank based on the fact that Jane bank offers a better interest than Tommy bank.
Therefore Jane bank is better.
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The complete question is:
Tommy earned $30.40 in interest after 4 years on a principal of $200. His simple interest rate is 3.8%. Jane earned $81.90 in interest after 3 years on a principal of $700. Her simple interest rate is 3.9%. Which bank would you rather use? Explain your reasoning.
answer choices
Jane's because her bank offer a better interest rate.
Jane's because her bank accepted a smaller principal.
Tommy's because his bank paid more interest.
Tommy's because his investment took less time.
circumference of a circle with an area of 530.93 square meters
Answer:
c = 81.7 m
Step-by-step explanation:
a = πr²
530.93 = πr²
r² = 530.93/π
r² = 169
r = 13
----------------------
c = 2πr
c = 2π(13)
c = 81.7
Answer: 81.7
Step-by-step explanation:
HELP FAST WILL GIVE BRAINEST FOR RIGHT ANSWER!!!
Part A: State the Greatest Common Factor of 12x2y5z and 150x6y5z and 66y9z
Show all work you did to determine the GCF.
Part B: Factor completely 4x2 – 20x +100
Part C: Factor completely. 81x2-64
Part D: State the factoring rule for special cases. (a + b)2 = ??
Part E: State the factoring rule for difference of two squares. a2 – b2 = ??
Answer:
Step-by-step explanation:
A) 12x² y⁵z = 2² * 3 * x² * y⁵ * z
150x⁶y⁵z = 5² * 2 * 3 * x⁶ * y⁵ * z
66y⁹z = 2 * 3 * 11 * y⁹ * z
GCF = 2 * 3 * y⁵ * z = 6y⁵z
B) 4x² - 40x + 100 = (2x)² - 2 * 2x * 10 + 10²
= (2x - 10)²
C) 81x² - 64 = (9x)² - 8² {a² - b² = (a + b)(a - b)}
= (9x + 8)(9x - 8)
D) (a + b)² = a²+ 2ab + b²
E) a² - b² = (a + b)(a - b)
Answer:
Simplifying 4x2y + 12xy2 + 9y3 Reorder the terms: 12xy2 + 4x2y + 9y3 Factor out the Greatest Common Factor (GCF), 'y'. y(12xy + 4x2 + 9y2) Factor a trinomial.
Step-by-step explanation:
Subtracting Perfect Squares · (a+b)(a-b)=a2-b · Example · 4x2-9= · Subtracting Perfect Cubes · a3-b3=(a-b)( · Adding Perfect Cubes · x3+27=(x+3)(x2-3x+9).
a box contains cards numbered 1 - 10. two cards are randomly picked with replacement. what is the probability of picking the card numbered three at least once?
The probability of selecting the card with the number three at least once is 1/10.
Given that,
1 through 10 cards are contained in a box. Two cards are chosen at random and replaced
To find : The probability of selecting the card with the number three at least once?
Probability (3 at first) * Probability (3 at second) + Probability (3 at first) *Probability (others at second) + Probability (others at first) *Probability (3 at second) = 1/10 * 1/0 + 1/10 *9/10 + 9/10*1/10
= 19/100 = 0.19
Here there are 10 cards,
So, probability of picking three is 1/10 and probability of picking others is 9/10
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Let sin(60)=√3/2 Enter the angle measure (0), in degrees, for cos(0)= √3/2
There is no angle (0) in degrees that answers the preceding equation since cos(0) = 3/2 is illogical.
what is trigonometric ratios ?To determine the angles of a right triangle, trigonometric ratios are ratios of the side lengths of the triangle. Sine (sin), cosine (cos), and tangent (tan) are the three fundamental trigonometric ratios, and their definitions are as follows:
Sine: The length of the angle's opposite side divided by the length of the hypotenuse is known as the sine of the angle.
Cosine: The length of the neighbouring side divided by the length of the hypotenuse is the angle's cosine value.
Angle's tangent is determined by dividing the length of the adjacent side by the length of the opposite side.
These ratios can be used to discover missing side lengths in right triangles and other situations with right triangles.
given
The number one is the value of cos(0).
There is no angle (0) in degrees that answers the preceding equation since cos(0) = 3/2 is illogical.
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What is the difference between the LCM and HCF of 8,10,12
Answer:
118
Step-by-step explanation:
LCM = 12×10 = 120
HCF = 12-10 = 2
Difference = 120-2 = 118
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help. pls.
-photo attached !
Find the measures of the numbered angles.
(the angles i need to find)
<1 _?
<2 _?
<3 _?
<4 _?
<5 _?
<6 _?
<7 _?
<8 _?
Answer:
<1=75°[corresponding angles are equal]
<2=180-<1=(180-75)°=105°[sum of st.angles is supplementary]
<3=<2=105°[Vertically opposite angles are equal]
<4=75°[Alternate angles are equal]
<6=<2=105°[Corresponding angles are equal]
<7=<6=105°[Vertically opposite angles are equal]
<8=75°[Vertically opposite angles are equal]
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Answer 1 and 2 seriously please.
Answer:
Step-by-step explanation:
1
(x+3)+(x-1)+(x+1) = 90°
3x + 3 = 90°
3x = 90 - 3
3x = 87
x = 87/3
x = 29°
2
x + (x+104) = 180°
2x + 104 = 180°
2x = 180 - 104
2x = 76
x = 76/2
x = 38°
Which list of numbers is in order from least to greatest?
A.
60.47 ; 64.07 ; 64 ; 64.7
B.
60.47 ; 64 ; 64.07 ; 64.7
C.
64 ; 60.47 ; 64.7 ; 64.07
D.
64 ; 60.47 ; 64.07 ; 64.7
Answer:
the answer is 60.47 ; 64 ; 64.07 ; 64.7 that mean the answer is B.
Look at the school on Second Ave, between Dogwood and Elm.
a) Is the school a quadrilateral? Why or why not?
b) Is the school a parallelogram? Why or why not?
Answer:
It depends what the school looks like on the map. The school is a quadrilateral if it has 4 sides. The school is a parallelogram if it has at least 1 pair of parallel sides.
!!!!40 POINTS AND BRAINLIEST!!!!
If you are trying to calculate a company's initial profit, you can graph the profit function
and find:
A)the highest point of the graph.
B)the point where the graph crosses the x-axis.
C)the lowest point of the graph.
D)the point where the graph crosses the y-axis.
(Make sure to explain)
Answer:
D) the point where the graph crosses the y-axis
Step-by-step explanation:
The "initial" value of a function is generally taken to mean the function value when the independent variable is zero.
On a graph of the profit function, that will be the y-intercept: the point where the graph crosses the y-axis.
__
The highest point on the graph will be the maximum profit.
The points where the graph crosses the x-axis will be where profit is zero, referred to as "break-even" points.
The lowest point on the graph will be where the profit is a minimum. That point may actually indicate a loss (negative profit).
Factor completely
Solve: \(x^{3} + 2x^{2} -9x - 18\)
please do:
step-by-step-explanation
Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3
The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).
To solve the given differential equation
2xy(dy/dx) = y²
We will use separation of variables and integrate to find the solution.
Start with the given equation
2xy(dy/dx) = y²
Divide both sides by y²:
(2x/y) dy = dx
Integrate both sides:
∫(2x/y) dy = ∫dx
Integrating the left side requires a substitution. Let u = y², then du = 2y dy:
∫(2x/u) du = ∫dx
2∫(x/u) du = ∫dx
2 ln|u| = x + C
Replacing u with y²:
2 ln|y²| = x + C
Using the properties of logarithms:
ln|y⁴| = x + C
Exponentiating both sides:
|y⁴| = \(e^{x + C}\)
Since the absolute value is taken, we can remove it and incorporate the constant of integration
y⁴ = \(e^{x + C}\)
Simplifying, let A = \(e^C:\)
y^4 = A * eˣ
Taking the fourth root of both sides:
y = (A * eˣ\()^{1/4}\)
Now we can incorporate the initial condition y(2) = 3
3 = (A * e²\()^{1/4}\)
Cubing both sides:
27 = A * e²
Solving for A:
A = 27 / e²
Finally, substituting A back into the solution
y = ((27 / e²) * eˣ\()^{1/4}\)
Simplifying further
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
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Maria, a teacher at Learn4Life created a histogram for the vacations she's taken in the last ten years. She hasn't added the 7-day vacation yet she took this summer. Using your pencil, draw and add the 7-day vacation Maria took this summer to the histogram on the right. help help help help help ): please
According to the information, Maria has to add a unit in the second bar that corresponds to the vacations that have between 7 and 9 days.
How to fill in the graph correctly?To complete the graph correctly we must identify what information is in it. First of all we see that there are ranges of duration of vacations on the X axis, then, there are 4 bars that represent the following ranges:
4 - 67 - 910 - 1213 - 15According to the above, since she has not added her last vacation that lasted 7 days, we must add a unit that represents these vacations in the second column, to complete the graph.
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a new cell phone is introduced into the market. it is predicted that sales will grow logistically. the manufacturer estimates that they can sell a maximum of 100 thousand cell phones.after 28 thousand cell phones have been sold, sales are increasing by 10 thousand phones per month.find the differential equation describing the cell phone sales, where y(t) is the number of cell phones (in thousands) sold after t months.
The differential equation describing the cell phone sales is \(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\).
Based on the given information, the cell phone sales growth is logistic, with a carrying capacity of 100 thousand units. When 28 thousand cell phones have been sold, the rate of sales increase is 10 thousand units per month.
The logistic growth differential equation is given by:
\(\frac{dy}{dt} = k \cdot y(t) \cdot \left(1 - \frac{y(t)}{M}\right)\)
where dy/dt is the rate of change in sales, y(t) is the number of cell phones sold after t months, k is the growth rate, and M is the carrying capacity.
In this case, y(t) = 28, dy/dt = 10, and M = 100. To find k, we can plug these values into the equation:
10 = \($k \cdot 28 \cdot \left(1 - \frac{28}{100}\right)$\)
Solving for k:
k ≈ 0.5357
Therefore, the differential equation describing the cell phone sales is:
\(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\)
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Question 2 20 pts A p-value for correlation which is statistically significant implies the correlation is due to random chance. True O False Question 5 20 pts For each one unit increase in X we expect Y to increase by b1 units, on average. Interpretation of the intercept Interpretation of a residual Interpretation of r-squared Interpretation of the slope
A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.
A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.
Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).
Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.
Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.
Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.
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on Arya birthday about 20 chocolate Her friends finished 7/10 chocolates How many chocolates were left
Answer:
6
Step-by-step explanation:
She had 20 chocolate pieces and her friends ate 7/10 of them.
20 x 0.7 = 14
20 - 14 = 6 pieces left over
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You flip a coin four times. “Heads” is called a success. possible outcomes are shown in the tree diagram. What is the probability of the coin landing heads up exactly twice out of the four flips?
Answer:
6/16
Step-by-step explanation:
there are 6 chances for it to be a double success out of a total 16 tries
two numbers are independently selected from the set of positive integers less than or equal to $5$. what is the probability that the sum of the two numbers is greater than their product? express your answer as a common fraction.
The probability of the sum of two integers is greater than the product is equal to 2 / 5.
Let 'A' be the set of positive integers less than or equal to 5.
A = { 1, 2, 3, 4, 5}
Sum of two numbers is greater than the product of the numbers.
1 × 1 = 1 and 1 + 1 = 2
1 × 2 = 2 and 1 + 2 = 3
1 × 3 = 3 and 1 + 3 = 4
1 × 4 = 4 and 1 + 4 = 5
1 × 5 = 5 and 1 + 5 = 6
2 × 1 = 2 and 2 + 1 = 3
3 × 1 = 3 and 3 + 1 = 4
4 × 1 = 4 and 4 + 1 = 5
5 × 1 = 5 and 5 + 1 = 6
2 × 2 = 4 and 2 + 2 = 4
Total possibilities = 5 × 5
= 25
Favourable outcomes = 10
Total number of outcomes = 25
Probability of sum of two numbers greater than the product
= 10 / 25
= 2 / 5
Therefore, the probability of the sum of two numbers is greater than the product is equal to 2/ 5.
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Please Help! Dimitri bought a cylindrical clay flowerpot that holds approximately 15 gallons of dry soil (1 gallon ≈ 0.15 cubic feet). The radius of the pot is 9 inches. What is the height of the flowerpot to the nearest tenth of a foot? Show your work.
Answer:
\(\huge\colorbox{blue}{h$\approx$1.3 foot }\)
Step-by-step explanation:
we are given volume and redious
but r is in inches and V is in gallons
so we have to convert V into inches unit
\( \sf\displaystyle 1\: cubic\: foot=1728 \: cubic\: inches\)
first convert gallon to cubic foot
\( \sf\displaystyle 15\times 0.15\: (\text{since 1 gallon=0.15 cubic feet}) \\ \displaystyle \: = 2.25\)
now convert cubic feet to cubic inches:
\(\sf\displaystyle 2.25\times 1728 \\ = 3888\)
now we need a little algebra to figure out h
\(V_{cylinder}=\pi r^2 h\)
substitute the value of V and r:
\( \displaystyle \: \pi \times {9}^{2} \times h = 3888\)
simplify square:
\( \displaystyle \: \pi \times 81 \times h = 3888\)
divide both sides by 81:
\( \displaystyle \: \frac{ \pi \times 81 \times h}{81} = \frac{ 3 888}{81} \\ \pi \times h = 48\)
divide both sides by π:
\( \displaystyle \: \frac{\pi \times h}{\pi} = \frac{48}{\pi} \\ \: h \approx 15.3\)
12 inches = 1 foot
15.3 " =15.3/12
≈1.3 foot
Write the following phrase as an expression. "7 more than n"
Answer:
7+n
Step-by-step explanation:
More indicates that we are adding an amount to n.
So since it is 7 more, we need to add 7 to n.
Note that an expression does not include an equal sign, so we are done.
Other commonly seen phrases are:
less than -> indicates subtraction
product of -> indicates multiplication
divided by -> division
The difference between similarity and
congruence is:
and
Similar figures are (Select ]
congruent figures are [Select)
20 POINTS!!! PLEASE HELP
Find the logarithm base 10 of each number:
10
Please show work. Thanks!!
The logarithm of 10 to base 10 is 1
How to determine the logarithm?The given parameters are:
Base = 10Number = 10So, the logarithm expression can be represented as:
\(\log_{10}10\)
The law of logarithm states that:
\(\log_{x}x = 1\)
The above means that;
When the base and the number are the same, the logarithm is 1
So, we have:
\(\log_{10}10 = 1\)
Hence, the logarithmic value is 1
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Zack placed $900 into a savings account. What is the total value of the account in 6 months at 3.5% rate?
Step-by-step explanation:
Interest=P×R×T/100
= 900×3.5×6/100
= 9×3.5×6. cancelling 900 by 100
= $189 Answer