Answer:
The answer is A.
Step-by-step explanation:
The only reason why it is A is because area is just (l x w) or length times width. The length is 9cm and the width is 8cm. If you multiply that, the answer would be 72cm.
Answer:
B- 59 cm 2
Step-by-step explanation:
rec 1 = 8 x 4 = 32
rec 2 = 3 x 7 = 21
rec 3 = 2 x 3 = 6
area of fig = rec 1 + rec 2+ rec 3 = 32+ 21+ 6 = 59 cm2
I hope im riht!!
Situation: You land your dream job. You negotiate a starting salary of $50,500. You are told that you will get a 6% increase in your salary every year.
a. Is this sequence arithmetic or geometric?
b. Find how much your salary will be after the 7th year.
Answer:
it arthmetic and 589166
Step-by-step explanation:
Make Z the subject x(y+z) + 5/a — 2=0
Answer:
above is the solution to the question, ,pls that is a negative sign
I need help please i don't get this.
Answer:
22
Step-by-step explanation:
Points Y and X are are the midpoints of the segments HI and HG respectively.
Therefore,
By Mid-segment formula:
IG = 2*YX = 2* 11 = 22 units
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
OOOO
O y=2x-2
y = 2x + 2
y = x + 2
y = x-2
Answer:
y = x + 2
Step-by-step explanation:
Point (0, 2) :
y = x + 2
2 = 0 + 2
2 = 2
Point (4, 6) :
y = x + 2
6 = 4 + 2
6 = 6
A runner ran 2 miles in 10 minutes a year later she ran 2 miles in 11 minutes. What is the percent increase in her running time.
Answer:
10%
Step-by-step explanation:
1 is ten percent of 10, and 11-10 = 1. Thus the percent increase in her running time is 10 %
David rented a truck for one day. there was a base fee of $14.99 and there was an additional charge of 94 cents for each mile driven. david had to pay $209.57 when he returned the truck. for how many miles did he drive the truck
To determine the number of miles David drove the truck, we need to subtract the base fee and divide the remaining amount by the additional charge per mile.
Let's denote the number of miles driven by 'm'. The equation can be set up as follows:
$209.57 - $14.99 = $0.94 * m
Simplifying the equation:
$194.58 = $0.94 * m
To solve for 'm', we divide both sides of the equation by $0.94:
m = $194.58 / $0.94
m ≈ 206.7
Therefore, David drove the truck for approximately 206.7 miles. Since it's not possible to drive a fraction of a mile, we can assume that David drove either 206 or 207 miles, depending on the rounding convention used.
To learn more about equation : brainly.com/question/29657983
#SPJ11
|2x+1|=|x+6| Find absolute value
Answer:
Exact form: \(x = 5, -\frac{7}{3}\)
Decimal form: x = 5, -2.3
Mixed number form: \(x = 5, -2\frac{1}{3}\)
Step-by-step explanation:
Hope this helps! :D
pls answerrrrr
with simple working
Answer:
it goes by minus 8 each time so just put the number and negative 8 each time on a paper and the 20th term would be your answer
Factor completely.
5x² - 7x + 2
The given equation 5x² - 7x + 2 can be factorized using the factorization method as;(5x - 2)(x-1)
How can the expression be factorized?Factorization in mathematics refers to the process of expressing a given number or expression as a product of two or more factors. In other words, it is the method of breaking down a number or an expression into simpler parts or factors.
Given that 5x² - 7x + 2 =0 whic can be seen as a quadratic equation, from this we can see that (x-1) is one of the factor.
We can re wrirte the expression as 5x² - 5x - 2x + 2 =0, we can see that the new expression is still the same with the original expression , then we can factor out as :
5x(x-1) -2(x-1)
(5x - 2)(x-1)
Learn more about equation at:
https://brainly.com/question/27882730
#SPJ1
Which equation is satisfied by all three of the plotted points?
Can you add monomials and end up with a binomial? Explain
The length of each side of equilateral triangle T is 6 times the length of each side of equilateral triangle X.
Quantity A The ratio of the length of one side of T to
the length of another side of
Quantity B The ratio of the length of one side of X to
the length of another side of X
•A. Quantity A is greater.
• B. Quantity B is greater.
C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.
C. The two quantities are equal. We can see that both Quantity A and Quantity B have the same value of 1. Hence, the two quantities are equal.
Since we know that the length of each side of triangle T is 6 times the length of each side of triangle X, we can set up the following equations:
Length of side of T = 6 * Length of side of X
To compare the ratios of the sides, we can use the following formula:
Ratio of one side to another = Length of one side / Length of another side
For Quantity A, we can choose any two sides of triangle T and find their ratio. Let's choose the two adjacent sides:
To further explain the concept, let's consider the properties of equilateral triangles.
An equilateral triangle is a special type of triangle where all three sides are equal in length. Hence, if we know the length of one side, we automatically know the length of all three sides.
Now, coming back to the given question, we are told that the length of each side of triangle T is 6 times the length of each side of triangle X. This means that if the length of one side of triangle X is 'a', then the length of one side of triangle T is 6 times 'a', which is '6a'.
Hence, we can write:
Length of side of T = 6a
Length of side of X = a
Now, let's compare the ratios of the sides.
For Quantity A, we need to find the ratio of one side of triangle T to another side of T. Let's choose the two adjacent sides:
Ratio of adjacent sides of T = Length of side of T / Length of adjacent side of T
Since all three sides of an equilateral triangle are equal, the adjacent side of T is also 6a. Hence, we get:
Ratio of adjacent sides of T = (6a) / (6a) = 1
For Quantity B, we need to find the ratio of one side of triangle X to another side of X. Let's again choose the two adjacent sides:
Ratio of adjacent sides of X = Length of side of X / Length of adjacent side of X
Since all three sides of an equilateral triangle are equal, the adjacent side of X is also 'a'.
To know more about quantities visit :-
https://brainly.com/question/14581760
#SPJ11
What does y equal, in this picture with 30 60 90 triangles?
The value of y= 5.49≈ 5.5cm
What is 30-60-90 traingle?
The 30-60-90 triangle is cut straight through the middle along its altitude, like one half of an equilateral triangle. Its name is derived from its three angles of 30 degrees, 60 degrees, and 90 degrees. Any triangle with angles of 30-60-90 will look like this: The hypotenuse is always twice as long as the shortest leg, and the length of the long leg can be calculated by multiplying the short leg by the square root of three. The shortest leg is across from the 30-degree angle.
By 30-60-90 triangle rule,
Side across 60° angle = x
Hypotenuse side = 2x= 15
Side across 30° angle = x√3
By solving,
2x= 15
x= 7.5cm
So side across 60° angle= 7.5 cm
Side across 30° angle = 7.5×√3
= 7.5× 1.732= 12.99≈ 13cm
As the figure given us square so,
13= 7.5+y
y= 13-7.5
y= 5.5 cm
To know more about 30-60-90 triangle:
https://brainly.com/question/11751274
#SPJ1
A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)
The point of diminishing returns is (20.98, 21247.3).
The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.
Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.
The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:
0 = -18x² + 360x + 2250
Dividing by -18 simplifies the equation:
0 = x² - 20x - 125
Using the quadratic formula, we find the solutions to the equation:
x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)
x₁,₂ = 10 ± 5√5
Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.
To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:
N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8
N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8
From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.
To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).
Hence, the point of diminishing returns is approximately (20.98, 21247.3).
Learn more about diminishing returns
https://brainly.com/question/30766008
#SPJ11
How is 0.623 expressed as a percentage?
Answer:
62.3%
Step-by-step explanation:
Answer:
you answer would be 62.3%
Step-by-step explanation:
move the decimal to the right twice
A way to build good credit isO using only secured loans.O taking out many lines of credit.O paying bills when they are due.O using only credit cards.
We know that taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.
A way to build good credit is by paying bills when they are due. Additionally, using only secured loans can also help build good credit, as these loans require collateral and can be easier to qualify for.
Using only credit cards can also be a way to build good credit, as long as the cards are used responsibly and payments are made on time.
However, taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.
To know more about credit refer here
https://brainly.com/question/1475993#
#SPJ11
Ifa box of apples is distributed among 28 children , each gets 3 . iF 7 children were not present , their share would also ne distriibuted among the others How many apples would each children get
Answer:
First subtract 28 by 7.
28 - 7 = 21
Then multiply 28 times 3
28 times 3 is 84
Then finally divide 84 by 21
84/21 = 4
Each of the children would get 4 apples
Step-by-step explanation:
What is the probability that either event will occur?
First, find the probability of event A.
A
B
18
12
6
P(A) = [?]
Answer:
Step-by-step explanation:
The probability of occurring event A is 23% or 0.23.
To find the probability of event A:
Divide the number of events in A to the total number of events.
Number of events in A = 12
Total number of events = 12+20+20
=52
P(A)=Number of events in A/Total number of events
\(=\frac{12}{52}\)
Divide both sides by 12:
\(=\frac{3}{13}\)
\(=0.23\)
\(=23\) %
Hence, the probability of occurring event A is 23% or 0.23.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ6
Show the work please! Thanks!!
Simplifying
2x + 5y = 2
Solving
2x + 5y = 2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5y' to each side of the equation.
2x + 5y + -5y = 2 + -5y
Combine like terms: 5y + -5y = 0
2x + 0 = 2 + -5y
2x = 2 + -5y
Divide each side by '2'.
x = 1 + -2.5y
Simplifying
x = 1 + -2.5y
Simplifying
5X + 10y = 17
Solving
5X + 10y = 17
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-10y' to each side of the equation.
5X + 10y + -10y = 17 + -10y
Combine like terms: 10y + -10y = 0
5X + 0 = 17 + -10y
5X = 17 + -10y
Divide each side by '5'.
X = 3.4 + -2y
Simplifying
X = 3.4 + -2y
a automobile race contains 15 racecars. in how many ways can the racecars finish in first, second, and third place?
There are 2730 ways in which 15 race cars can finish in first, second, and third place.
Let's examine this logically now. Any one of the 15 runners can cross the finish line in first place. You can still have any one of the 14 race cars who are still running finish in second place. Any one of the 13 race cars who haven't crossed the finish line yet can take third place.
As a result, multiplying all the possibilities will give us the number of ways ;
Number of ways =15*14*13
=2730
So, the total number of ways in which the race cars finish in first, second, and third place is 2730.
To learn more about permutation and combination visit;
https://brainly.com/question/1216161
#SPJ4
"Here are some values of sequence D"
n | D(n)
1 | 13
5 | 7
7 | 4
A) "Write a recursive definition for the sequence"
B) "Write a definition for this sequence for the nth term"
Answer:
See below
Step-by-step explanation:
A) Recursive Definition
The value of each term in a sequence that starts at 13 is reduced by 1.5 for each step in the sequence.
B) Definition for nth Term
D(n) = D(1)+(n-1)(-1.5)
D(1) = 13
D(n) = 13+(n-1)(-1.5)
Examples:
D(5) = 13 + (5-1)*(-1.5)
D(5) = 13 + (4)*(-1.5)
D(5) = 13 - 6, or 7
------------------
D(7) = 13 + (7-1)*(-1.5)
D(7) = 13 + (6)*(-1.5)
D(7) = 4
What is the quotient of 2/3 : 4 in simplest form?
Answer:
1/6
Step-by-step explanation:
2/3 divided by 4= 2/3 x 1/4
2/3 x 1/4=2/12
2/12 simplifies to 1/6
when estimating a population​ mean, are you more likely to be correct when you use a point estimate or an interval​ estimate? explain your reasoning.
In estimating a population mean, an interval estimate is more likely to be correct than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, while a point estimate provides only a single value.
When estimating a population mean, using an interval estimate is more likely to be correct because it accounts for the uncertainty associated with the estimate. A point estimate, on the other hand, provides a single value that is assumed to represent the true population mean. However, due to sampling variability and potential errors in measurement, a point estimate is prone to error and may not accurately reflect the true population mean.
By using an interval estimate, which includes a range of values, we have a measure of uncertainty. The range is typically constructed based on a certain level of confidence, such as a 95% confidence interval. This means that if we were to repeat the sampling and estimation process many times, the true population mean would be expected to fall within the estimated interval in 95% of those repetitions.
The interval estimate takes into account the variability in the data and provides a more realistic representation of the true population mean. It provides a margin of error and acknowledges that the point estimate is just one possible value among many that could have been obtained through sampling.
Therefore, when estimating a population mean, an interval estimate is preferred because it not only provides a point estimate but also quantifies the uncertainty associated with that estimate, leading to a higher likelihood of being correct.
Learn more about mean here: brainly.com/question/33239609
#SPJ11
can somebody help me frl frl cause I'm failing
the president of a university claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean sat score is lower than previous years. he took a sample of 30 of this year's entering students and found that their mean sat score is 1,501 with a standard deviation of 53. the university's record indicates that the mean sat score for entering students from previous years is $1,520. he wants to find out if his claim is supported by the evidence at a 5% significance level. which of the following best describes a type i error? the president concludes that the mean sat score of the entering students is lower than previous years when it is indeed not lower the president concludes that the mean sat score of the entering students is higher than previous years when it is indeed higher the president concludes that the mean sat score of the entering students is not lower than previous years when it is indeed lower the president concludes that the mean sat score of the entering students is lower than previous years when it is indeed lower
The result is not statistically significant.
To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.
The null hypothesis is
H₀ : μ ≥ 1520
The alternative hypothesis is
Hₐ : μ ≤ 1520
then the test statistic is,
t = (x - μ)/(s/√n)
= (1501 - 1520)/(53/√20)
t = - 1.603
The t-test statistic is - 1.603.
Degree of freedom n - 1 = 20 - 1 = 19
Hence the t-critical value is -1.792.
The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.
The result is not statistically significant.
To know more about mean score here
https://brainly.com/question/16907497
#SPJ4
can the tangent constraint be applied between a line and an arc?
Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.
In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.
This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.
In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.
Learn more about geometric constraint here
brainly.com/question/30319646
#SPJ4
Select all of the following that represent direct variation.
1. y = 5x
2. y = 2x + 1
3. 3 = xy
4. b = 1/2a
5. y= 2/x
6. m = 5n
The equations, y=5x, b = 1/2 a, m=5n are direct variations.
What is direct variation?A sort of proportionality known as "direct variation" occurs when one quantity directly changes in response to a change in another quantity. This suggests that if one quantity increases, the other quantity will also increase proportionately. Similar to the last example, if one quantity declines, the other amount also declines. The link between direct variation and the graph will be linear, resulting in a straight line.
We know that any equation, which can be expressed in the form of y=kx, can be called a direct variation.
y = 5x is in the form of y = kx, where k =5, hence this is a direct variation
y = 2x + 1 is not in the form of y = kx, hence this is not a direct variation
xy = 3 is not in the form of y = kx, hence this is not a direct variation
b = 1/2 a is in the form of y = kx, where k =1/2, hence this is a direct variation
y = 2/x is not in the form of y = kx, hence this is not a direct variation
m = 5n is in the form of y = kx, where k =5, hence this is a direct variation
Thus, y=5x, b = 1/2 a, m=5n are direct variation
To know more about direct variation visit:
brainly.com/question/13977805
#SPJ1
Y=8x + 14
y= 4x + 14
Answer: X=1.167
Add like terms, then divid by 12, Thats the naswerrr
hope thes shepedl;
The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
Let H be our altitude and B our base and A the area of the triangleA= (B*H)/2 ⇒ 15=(B*H)/2 H is 1cm shorter than B ⇒ B=H+1H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
a=1b=1c= -30 Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0 Δ≥0⇔ that we have two solutions x and y x= (-1-\(\sqrt{121}\))/2= (-1-11)/2= -6 y= (-1+\(\sqrt{121}\))/2= 10/2 = 5We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
a store sells a shirt that is discounted 10%. A coupon is used for an additional 10% off the discount price. what is the total percentage discount on the shirt.
Answer:
20% percent is the total discount
Step-by-step explanation:
Answer:
The answer to your question is 20%
Step-by-step explanation:
Think of it as a simple addition problem and take the percentages out of it. Since we want to know what the total discount of the shirt is we could take the original discount of the store (10% or 10) and then we could take your coupon for (10% or 10) and add them together to get the total discount of the shirt. That's a really exaggerated way to put it so think of it like this:
10%+10%= 20%