Answer:
Answer: 21
Step-by-step explanation:
If cost is the same
\({ \rm{C_{r} =C _{b} }} \\ \\ { \rm{175 + 12(n - 10) = 125 + 14(n - 8)}} \\ \\ { \rm{50 + 12n - 120 = 14n - 112}} \\ \\ { \rm{n = 21}}\)
You move up 3 units. You end at (2, 0). Where did you start?
Answer:
-3, 3
Step-by-step explanation:
which of the following describes (8+9) in the expression below?
How to factor a trinomial with a leading coefficient?.
Answer:
What is the factors of leading coefficient?
Each rational zero of a polynomial function with integer coefficients will be equal to a factor of the constant term divided by a factor of the leading coefficient. When the leading coefficient is 1, the possible rational zeros are the factors of the constant term.
Step-by-step explanation:
First blank
Communication skills
Leadership skills
Technological skills
Second blank
Vision
Authority
Drive
Answer:
first blank- technological skills
second blank- vision
Step-by-step explanation:
867 runners entered a race. 276 more entered before
the race started. How many runners are in the race?
A
1,143
B
591
1,043
D
239,292
Answer:
a
Step-by-step explanation:
calculator
What are the 3 linear functions?.
Answer:
point-slope form, standard form, and slope-intercept form
Step-by-step explanation:
The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.
Here is an image with each form
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10
Answer:
I believe the slope is 2/3.
answer the question.
Answer: 3y
Step-by-step explanation: hope this helps :)
Answer:
z=18
Step-by-step explanation:
because you have to multiply If x is 3 the multiply 3 times 2 and it is y is 6 and then 6 times 3 is z is 18 and there is your answer.
For the years between 1980 and 2012, the function c(x)=0.006x^3−0.48x^2+12.8x+85 approximates the number of countries that attended the summer Olympics x years after 1980. Use the polynomial remainder theorem to approximate the number of countries that attended the Olympics in 2004.
Enter the answer in the box.
Answer:
199
Step-by-step explanation:
2004 is 24 years after 1980. The polynomial remainder theorem tells you the remainder from division by x-24 will be the function value c(24). We can find the remainder/function value by evaluating the function rewritten to Horner form:
c(x) = ((0.006x -0.48)x +12.8)x +85
c(24) = ((0.006(24) -0.48)(24) +12.8)(24) +85 = (-.336(24) +12.8)(24) +85
= 4.736(24) +85 = 198.664
c(24) ≈ 199
The approximate number of countries attending the 2004 Olympics was 199.
a bank loaned out ​$​, part of it at the rate of per year and the rest at per year. if the interest received in one year totaled ​$​, how much was loaned at
The amount loaned at 5% interest is $7,500. Let's say the bank loaned out x dollars. The amount loaned at 5% interest is 0.05x dollars, and the amount loaned at 10% interest is 0.10x dollars.
We know that the total interest received in one year was y dollars. We can set up the following equation to represent this information:
0.05x + 0.10(x - 0.05x) = y
Simplifying the right side of this equation, we get:
0.05x + 0.10x - 0.05x = y
0.05x = y
Dividing both sides of this equation by 0.05, we get:
x = y / 0.05
x = 20y
We are given that the total interest received was $y = $1,500. Plugging this value into the equation, we get:
x = 20(1,500)
x = $30,000
Therefore, the amount loaned at 5% interest is $30,000 / 2 = $15,000. However, we are asked for the amount loaned at 5% interest, not 10% interest. So, we need to divide this amount by 2:
$15,000 / 2 = $7,500
Therefore, the amount loaned at 5% interest is $7,500.
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QUESTION:
A bank loaned out $18,000, part of it at the rate of 8% per year and the rest at 16% per year. If the interest received in one year totaled $2000, how much was loaned at 8%?
Hi i don’t know how to answer #4 and #5. I’m in college calculus 1.
Hence,
\(\begin{gathered} \tan ^2\alpha+1=\sec ^2\alpha \\ \text{Substitute tan}\alpha=-3\text{ into the eqaution above},\text{ we have } \\ (-3)^2+1=\sec ^2\alpha \\ 9+1=\sec ^2\alpha \\ 10=\sec ^2\alpha \\ \sec ^2\alpha=10 \\ \sec \alpha=\sqrt[]{10} \\ \text{but sec}\alpha=\frac{1}{\cos \alpha} \\ \text{hence, }\frac{1}{\cos\alpha}=\sqrt[]{10} \\ \cos \alpha=\frac{1}{\sqrt[]{10}} \end{gathered}\)\(\begin{gathered} \text{But tan}\alpha=\frac{\sin \alpha}{\cos \alpha} \\ \sin \alpha=\tan \alpha\cos \alpha \\ \sin \alpha=-3\text{ x }\frac{1}{\sqrt[]{10}} \\ \sin \alpha=-\frac{3}{\sqrt[]{10}} \\ \\ Hence,\text{ }\sin \alpha=-\frac{3}{\sqrt[]{10}} \end{gathered}\)Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them
Answer:
Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)
Step-by-step explanation:
Using a cosine function, where time is measured in hours past high
tide: y=4cos30x + 10
Using a cosine function, where time is measured in hours past low
tide: y = 4cos[30(x-6)]+10
In August you worked 36 hours, in September you worked 44 hours – by what percentage did you working hours increase in September? Calculate the percent change.
Show your work and show your final answer as a percent.
calculate the percentage increase in working hours, we use the formula: (New Value - Old Value) / Old Value * 100. By substituting the given values, we find that the working hours increased by approximately 22.22%.
the percentage increase in working hours from August to September, we follow these steps:
Calculate the difference between the hours worked in September and August:
Difference = 44 hours - 36 hours = 8 hours.
Calculate the percentage increase using the formula:
Percentage Increase = (Difference / August hours) * 100.
Substituting the values, we have:
Percentage Increase = (8 hours / 36 hours) * 100 ≈ 0.2222 * 100 ≈ 22.22%.
Therefore, the working hours increased by approximately 22.22% from August to September.
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6. How many times larger is the first number in the pair than the second? a. 34 is times larger than 3³. times larger than 5². times larger than 78. times larger than 17. times larger than 5*. b. 5³ is_____ c. 710 is d. 176 is e. 5 1⁰ is
3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3
This means that 3⁴ is 3 times larger than 3³.
5³ is 5 times larger than 5².
5³ / 5² = (5 × 5 × 5) / (5× 5) = 5
7¹⁰ is 49 times larger than 7⁸.
7¹⁰/ 7⁸ = 7² =49
17⁶ is 289 times larger than 17⁴.
17⁶ /17⁴ = 289
Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
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please help can you help i really need help like really this is so heard
Answer:
1/8 square unit.
Step-by-step explanation:
Remark
The piece of information that is missing is is the middle line parallel to 2 of the sides. You have to assume it is, otherwise the question is impossible to do.
Givens
The height of the red triangle is 1/2 the top or bottom white triangle. That's because the diagonals and the horizontal line all meet in the middle.
The base of the red triangle is equal to 1/2 the length of the base.
Formula
Area red = 1/2 b * h
Solution
b = 1/2
h = 1/2
Area = 1/2 * 1/2 * 1/2
Area = 1/8
3. The system of equations for two liquid surge tanks in series is
A₁ dh'₁/dt = q'ᵢ - 1/R₁ h'₁, q'₁ = 1/R₁ h'₁
A₂ dh'₂/dt = 1/R₁ h'₁ - 1/R₂ h'₂ q'₂ = 1/R₂ h'₂
Using state-space notation, determine the matrices A,B,C, and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ , and the output variable is the flow rate deviation, q'₂.
The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.
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I’m desperateee help meeee!!!
Answer:
f(2)=5
q(2) =-5
p(2) = 5
f(x) and p(x) has the same output value
Men's Health magazine claims that 70% of people who eat fast food more than 2x a week are overweight. A random sample of 50 people who eat fast food more than 2x a week showed that 30 of them were overweight. Which ones are your Null and Alternative hypotheses
The null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.
Null hypothesis is a statistical hypothesis that claims there is no significant difference between a specified population parameter and the observed sample statistics. While alternative hypothesis is a statistical hypothesis that suggests that there is a significant difference between a specified population parameter and the observed sample statistics.In the given scenario, the null hypothesis and the alternative hypothesis will be:
Null hypothesis (H0): At most 70% of people who eat fast food more than 2x a week are overweight. (This means less than 70% are overweight)Alternative hypothesis (Ha): More than 70% of people who eat fast food more than 2x a week are overweight.
:We can evaluate the null hypothesis by testing the probability of a sample occurring, assuming the null hypothesis is true. If the probability of a sample is very low, it implies that it is unlikely that the sample was obtained assuming that the null hypothesis was true, and we can reject the null hypothesis and accept the alternative hypothesis
.In conclusion, the null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.
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What is 75% of 30 menutes
Answer:
22.5
Step-by-step explanation:
:)
If each cube in the rectangular prism measures 1 cubic foot, what is the volume of the prism?
Answer:
The answer might be: 11 cubic foot
To the nearest tenth, find the area of a circle with diameter of 6m. Use 3.14
Answer: 28.3 squared
Step-6 divided by 2= 3 then 3x3=9 then 9x3.14=28.26 then round 28.3
What is the Ka of a solution of 0.025M formic acid, if the pH 10 points
is 2.60? Answers
Ka = 0.025
Ka = 2.5x10^-4
Ka = 2.8x10^-4
Ka = 2.8x10^-2
Answer:
ka=2.8×10>4
Step-by-step explanation:
.$%_&<</___/%$
Use the information given to enter an equation in standard form.
Slope is 7, and (1, 8) is on the line.
The linear equation associated with slope is 7, and (1, 8) is on the line is y = 7x + 1.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant b.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
A linear equation or function is given as ;
y = mx + b
Now,
At x = 0 ⇒ y = b so it will be a y-intercept.
Put m = 7 , x = 1 and y = 8
8 = 7(1) + b
b = 1
Thus, y = 7x + 1
Hence "The linear equation associated with slope is 7, and (1, 8) is on the line is y = 7x + 1".
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what is the rule dividing integers with different signs
Rosie jumps 32cm in the air Annie jumps 8% higher than Rosie how high did Annie jump
Answer:
Annie jumps 34.56 cm (approximately)
Step-by-step explanation:
Since we know that Annie jumps 8% higher than Rosie, we can add the 8% increase to the height that Rosie jumped.
32 cm + 2.56 cm = 34.56 cm
Therefore, Annie jumped approximately 34.56 cm in the air, which is 8% higher than the height that Rosie jumped.
Step-by-step explanation:
To find out how high Annie jumped, you first need to calculate what 8% of Rosie's jump height is, and then add this amount to Rosie's jump height.
To calculate 8% of Rosie's jump height, you can multiply 32cm by 8% expressed as a decimal, which is 0.08:
8% of 32cm = 0.08 x 32cm = 2.56cm
So Annie jumped 2.56cm higher than Rosie's jump of 32cm.
To find out how high Annie jumped, you can add 2.56cm to Rosie's jump height:
Annie's jump height = Rosie's jump height + 2.56cm
= 32cm + 2.56cm
= 34.56cm
Therefore, Annie jumped 34.56cm in the air.
Although some of the programs created by fdr were seen as unconstitutional, which program is still a major part of american society?(1 point) new deal new deal social security act social security act wagner act wagner act works progress administration
The program that is still a major part of American society despite being seen as unconstitutional is the Social Security Act.
The Social Security Act was signed into law by President Franklin D. Roosevelt in 1935 as part of the New Deal. It was designed to provide retirement benefits for workers and their families, as well as aid to the disabled and survivors. Some critics argued that it was unconstitutional for the federal government to provide social welfare programs, but the Supreme Court ultimately upheld the law in a series of rulings.
While the New Deal encompassed a wide range of programs aimed at providing relief, recovery, and reform during the Great Depression, not all of them were successful or even constitutional. For example, the National Industrial Recovery Act, which created the National Recovery Administration to regulate industry and labor practices, was struck down by the Supreme Court in 1935 for violating the separation of powers. Similarly, the Agricultural Adjustment Act, which paid farmers to reduce crop production in order to raise prices, was declared unconstitutional in 1936 because it exceeded the federal government's authority to regulate interstate commerce. However, the Social Security Act has endured as one of the most significant pieces of legislation in American history. It established the framework for the modern social welfare system and has provided a safety net for millions of Americans over the past 85 years. Despite ongoing debates over its funding and structure, Social Security remains a vital part of the social fabric of the United States.
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g do you think that the model suffers from omitted variable bias and the estimate for age is unbiased? explain.
When a crucial variable is excluded from a regression model, the results are referred to as omitted variable bias.
Regression analysis frequently encounters the issue of omitted variable bias, which occurs when an important independent variable is left out of the model and affects the estimates of the coefficients for the included variables.
This happens because one or more of the included independent variables as well as the dependent variable may be correlated with the variable that was left out. As a result, the intercept and coefficients of the included independent variables may be overestimated or underestimated.
Based on prior knowledge and theory, researchers should carefully consider which variables to include in the model to address this issue. They should then test for potential correlations between the included and
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Malaki puts $250 in his savings account at 2.5% interest. How much will he have in his account after 7 years?
Malaki will have approximately $296.16 in his Savings account after 7 years.
To calculate the amount Malaki will have in his savings account after 7 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount in the account,
P is the principal amount (initial deposit),
r is the annual interest rate (expressed as a decimal),
n is the number of times interest is compounded per year, and
t is the number of years.
Given:
P = $250 (initial deposit),
r = 2.5% = 0.025 (interest rate expressed as a decimal),
n = 1 (interest compounded annually),
t = 7 (number of years).
Plugging these values into the formula, we have:
A = $250(1 + 0.025/1)^(1*7)
A = $250(1 + 0.025)^7
A = $250(1.025)^7
A = $250(1.184654712)
A ≈ $296.16
Therefore, Malaki will have approximately $296.16 in his savings account after 7 years.
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HELP GEOMETRY WORK!!!!!!!
Answer:6
Step-by-step explanation:
there is a law for that:
5*12=x*(x+4)
60=x*x+4x
x*x+4x-60=0
(x+2)*(x+2)-64=0
(x+2)(x+2)=8*8
x+2=8
x=6
Answer:6
Step-by-step explanation:there is a law for that:5*12=x*(x+4)60=x*x+4xx*x+4x-60=0(x+2)*(x+2)-64=0(x+2)(x+2)=8*8x+2=8x=6
(10 points) can someone help? :(
Answer:
Where is the Question?
Step-by-step explanation: