Q # 15 in the diagrams a || b a. Use the fiagrama o answer the question(diagrama not to scale.)
Answers
because ∠7 + ∠4 = 180°
The correct choice is number 1
///EAGLEPAW
Related Questions
Frank wrote 1/2 of his book report before dinner. he wrote another 1/8 of the report after dinner. What fraction of the report did he finish?
Answers
Frank finished 5/8 of the report.
Explanation:To find the fraction of the book report that Frank finished, you need to add together the fractions of the report he wrote before and after dinner. Frank wrote 1/2 of the report before dinner and 1/8 of the report after dinner. To add these fractions, you need to find a common denominator. The least common multiple of 2 and 8 is 8, so you can rewrite 1/2 as 4/8. Adding 4/8 and 1/8 gives you a total of 5/8.
Therefore, Frank finished 5/8 of the report.
Factor completely. y2 - xy - 56x2
Answers
y2 - xy - 56x2
Rewriting we have the factored expression, which is given by:
(7x + y) (y-8x)
Checking we have:
7xy - 56x ^ 2 + y ^ 2 - 8xy
y ^ 2 - xy - 56x ^ 2 (OK)
Answer:
The factored expression is given by:
y2 - xy - 56x2 = (7x + y) (y-8x)
Answer:
(y - 8x) (y + 7x)
Step-by-step explanation:
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Have a blessed day!
x-1/x-1=1
Solve the equation.
These are fractions
Answers
A number divided by itself will always yield a result of 1. (x-1) is being divided by (x-1), which means that both the numerator and denominator are identical. This will always produce a result of 1, with one exception:
x cannot equal 1, as division by zero is impossible. (1-1) = 0.
In Youngtown the population reach 4420 people in 1993 in 1998 there were 5600 residents what was toe population in the year 2000
Answers
5 years = 1180 people
5n = 1180
n = 236
236*2 = 472
5600 + 472 = 6072
6072 people
Tony makes an hourly salary of $11.50 for 40 regular hours of work. For any time worked beyond 40 hours, he is paid at a rate of time and a half per hour. Last week, Tony worked 46 hours. Find each of the following for this period. Tony’s gross pay. Social Security Tax (6.2%) Medicare tax (1.45%)
Answers
We are given that:
Tony is paid $11.5 per hour for the first 40 hours of work
Tony is paid 1.5 * 11.5 = $17.25 for each hour beyond the 40 hours.
We know that last week he worked 46 hours.
This means that:
he got the normal payment of $11.5 for the first 40 hours
he got the special payment of $17.25 for the extra 6 hours
Therefore:
Total amount he gained = 40(11.5) + 6(17.25) = $563.5
This means that, before removing any taxes or insurances, Tony had a payment of $563.5
Part (2):
We know that the social security tax is 6.2% of the amount he gained.
This means that:
social security tax = 6.2% * 563.5
social security tax = 0.062 * 563.5
social security tax = $34.937
Part (3):
We know that the medicare tax is 1.45% of the amount he gained.
This means that:
medicare tax = 1.45% * 563.5
medicare tax = 0.0145 * 563.5
medicare tax = $8.17075
Part (4):
To get the amount that Tony has after all the taxes, we will subtract the amount of taxes from what he originally gained as follows:
final amount gained = 563.5 - (34.937+8.17075)
final amount gained after taxes = $520.39225
Hope this helps :)
Tony's gross pay for 46 hours of work, including 6 hours of overtime, is $563.50. The Social Security tax on this amount is $34.94, and the Medicare tax is $8.17.
Explanation:Calculating Tony's Gross Pay
Tony's regular pay for 40 hours at an hourly rate of $11.50 is calculated by multiplying the hourly rate by the number of regular hours he worked. Therefore, his regular pay is 40 hours × $11.50/hour = $460. To calculate the overtime pay, we must first determine the overtime rate. The overtime rate is 1.5 times the normal hourly rate, thus the overtime hourly rate is 1.5 × $11.50/hour = $17.25/hour. Tony worked 6 hours overtime, so his overtime pay is 6 hours × $17.25/hour = $103.50. Tony's gross pay is the sum of his regular pay and overtime pay, which is $460 + $103.50 = $563.50.
Calculating Deductions for Social Security and Medicare
The Social Security tax and Medicare tax are calculated as percentages of the gross pay. The Social Security tax at 6.2% of $563.50 is $563.50 × 0.062 = $34.937, which rounds to $34.94. The Medicare tax at 1.45% of $563.50 is $563.50 × 0.0145 = $8.17075, which rounds to $8.17.
what multiplication problem does the model show? And why? please explain.
Answers
A multiplication problem shows the process of calculating the product when one number is multiplied by another. This can be represented using an array model, an area model, or a multiplication sentence. Specific representation will depend on the model provided.
Explanation:In mathematics, a multiplication problem represents the process of finding the product or result when one number is multiplied by another.
However, without a specific model being given in the question, providing a precise answer becomes challenging. In general terms, a multiplication model could be in the form of an array, an area model, or a multiplication sentence. To understand this better, let's illustrate with an example.
An array model of multiplication might show 4 rows of 3 blocks, representing the problem 4 x 3 = 12.An area model could show a rectangle partitioned into smaller parts, with each representing a multiplication fact.A simple multiplication sentence like 2 x 5 = 10, represents the multiplication fact directly.In all the cases, the multiplication problem is demonstrating how to find the product of two numbers or quantities.
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Ramone tossed 1 quarter, 2 dimes, and 13 pennies in the wishing well at the party. What is the total amount of money as a fraction and as a decimal?
Answers
1 quarter:
(1) * (0.25) = 0.25 $
2 dimes:
(2) * (0.1) = 0.2 $
13 pennies:
(13) * (0.01) = 0.13 $
Adding we have:
0.25 + 0.2 + 0.13 = 0.58 $
As a fraction:
58/10 = 29/5 $
Answer:
The total amount of money as a fraction and as a decimal are:
$ 29/5
$ 0.58
Jane has 312 feet of fencing to use to enclose a rectangular garden. She wants the garden to be 5 times as long as it is wide. What are the dimensions of the garden
Answers
WRITE THE expression in complete factored form 2y^2(p-4)-7(p-4)
Answers
(2y^2 - 7)(p - 4) Answer
2y ^ 2 (p-4) -7 (p-4)
The first thing you should observe is the similar terms in both parts of the expression.
We note that the term (p-4) is repeated in both parts of the expression.
Therefore, by doing common factor (p-4) we have:
(p-4) (2y ^ 2-7)
Answer:
The expression in complete factored form is:
(p-4) (2y ^ 2-7)
there is one plane that leaves from the city to the ski resort every hour. the first plane leaves at 10 the last plane leaves at 4 how many planes fly to the resort each day
Answers
Suppose that 12 inches of wire costs 60 cents. At the same rate, how much (in cents) will 27 inches of wire cost?
Answers
The 12 inches wire costs 60 cents, so the cost of 1 inch of wire is
Rate = 60/12 = 5 cents
So the cost of 1 inch of wire which is the rate is 5 cents.
Now we have to find the cost (in cents) of 27 inches wire.
We know the cost of 1 inch of wire is 5 cents so the cost of 27 inches of wire is
= Total inches of wire * Price of 1 inch of wire
= 27 * 5
= 135
The cost of 27 inches of wire is 135 cents
Robert planted 24 daffodil bulbs and 36 tulip bulbs in his guarden last winter. If all the bulbs sprout and bloom this spring, what will be the ratio of tulips to daffodils in Roberts guarden? Expressed as a simplified ratio.
Answers
18:12 ->
9:6 ->
3:2 is the simplified ratio
The ratio of tulips to daffodils in Robert's garden is 3:2. This is obtained by dividing the number of tulips by the number of daffodils (36/24), and simplifying the result.
Explanation:This problem pertains to ratios. Given that Robert planted 24 daffodil bulbs and 36 tulip bulbs, the ratio of tulips to daffodils is obtained by dividing the number of tulips by the number of daffodils. Thus, the ratio is 36/24. This simplifies to 1.5 when expressed as a decimal. However, we need the ratio in its simplest form, so let's convert 1.5 into a whole number. By multiplying both numbers by 2, we get the ratio 3:2. Therefore, the ratio of tulips to daffodils in Robert's garden is 3:2
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Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 5x + 12), [−3, 1]
Answers
The absolute maximum and minimum values of the function f(x) = ln(x^2 + 5x + 12) on the interval [-3, 1] are f(1) = ln(18) (maximum) and f(-2) = ln(4) (minimum).
Explanation:
To find the absolute maximum and absolute minimum values of the function f(x) = ln(x2 + 5x + 12) on the interval [-3, 1], we first need to find the critical points of the function within this range. The critical points are those at which the derivative equals zero or does not exist.
The derivative of this function is f'(x) = 2x + 5 / (x2 + 5x + 12). Setting this equal to zero and solving for x, we get the values -1 and -2. Both of these are within our interval, so they are critical points.Next, we evaluate the function at the critical points and at the end points of the given interval. We get f(-3) = ln(6), f(-2) = ln(4), f(-1) = ln(6), and f(1) = ln(18).The absolute maximum value within the interval is ln(18) and the absolute minimum value is ln(4).
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The absolute maximum value of f(X) on the interval [-3, 1] is approximately ( 2.890), which occurs at ( x = 1), and the absolute minimum value is approximately (1.749 ), which occurs at ( x = -5/2).
To find the absolute maximum and minimum values of[tex]\( f(x) = \ln(x^2 + 5x + 12) \)[/tex] on the interval [tex]\([-3, 1]\)[/tex], we first need to find the critical points and check the values of the function at those points and at the endpoints of the interval.
1. Find the critical points: Critical points occur where the derivative of the function is zero or undefined.
First, let's find the derivative of (f(x):
[tex]\[ f'(x) = \frac{1}{x^2 + 5x + 12} \cdot (2x + 5) \][/tex]
Setting ( f'(x)) equal to zero:
2x + 5 = 0
x = -5/2
Since this value x = -5/2 lies within the interval [-3, 1], it's a critical point.
2. Check the endpoints and critical point:
[tex]- \( f(-3) = \ln((-3)^2 + 5(-3) + 12) = \ln(9 - 15 + 12) = \ln(6) \)[/tex]
[tex]- \( f(1) = \ln(1^2 + 5(1) + 12) = \ln(1 + 5 + 12) = \ln(18) \)[/tex]
[tex]- \( f\left(-\frac{5}{2}\right) = \ln\left(\left(-\frac{5}{2}\right)^2 + 5\left(-\frac{5}{2}\right) + 12\right) = \ln\left(\frac{25}{4} - \frac{25}{2} + 12\right) = \ln\left(\frac{25 - 50 + 48}{4}\right) = \ln\left(\frac{23}{4}\right) \)[/tex]
3. Compare the values:
- ln(6) = 1.792
- ln(18) = 2.890
- [tex]ln\left(\frac{23}{4}\right)[/tex] = 1.749
So, the absolute maximum value of f(X) on the interval [-3, 1] is approximately ( 2.890), which occurs at ( x = 1), and the absolute minimum value is approximately (1.749), which occurs at ( x = -5/2).
paula earned a 56% on her test. If she got 14 problems correct. how many did she get incorrect
Answers
In the eco-garden of a school, the number of aquatic animals is 80% of the number of aquatic plants. There are 162 aquatic plants and animals in all. How many aquatic animals are there in the eco-garden?
Answers
Final answer:
By establishing a relationship between the total number of aquatic plants and animals and knowing that animals are 80% of the plants, we can determine that there are 72 aquatic animals in the eco-garden.
Explanation:
To calculate the number of aquatic animals in the eco-garden, we need to first establish the relationship between the number of animals and plants. According to the information, the number of aquatic animals is 80% of the number of aquatic plants. If we denote the number of aquatic plants as 'P' and aquatic animals as 'A', then A = 0.80 × P.
Given that there are a total of 162 aquatic plants and animals, we can represent this as A + P = 162. Since A is 80% of P, we can substitute the first relationship into the second equation, which gives us 0.80 × P + P = 162. Simplifying this, we get 1.80 × P = 162.
To find the value of P, we divide both sides by 1.80 to get P = 162 / 1.80, which yields P = 90. This indicates there are 90 aquatic plants. To determine the number of aquatic animals, we use the relationship A = 0.80 × P, so A = 0.80 × 90, resulting in A = 72.
Therefore, there are 72 aquatic animals in the eco-garden.
Start over a triangle prism has a height of 9 in the Triangle base has a base of 3 in in the heights of 8 in find the volume of the prism
Answers
V = B x H1 x H2
where;
B = is the area of the base of the triangle
H1 and H2= are the height of the triangle and the height of the triangular prism.
now, to find the area of the base simply use the formula
A = 1/2 B x H
where B is the value of the base and H is the value of the height of the triangle.
given the formula we can derive another formula to get the volume of the triangular prism.
V = 1/2 B x H1 x H2
given the formula, you can now substitute the values
.
V = 1/2 (3 in. x 8 in. x 9 in.)
V = 1/2 (216 in.^3)
V = (216 in.^3)/2
V = 108 in.^3 this is the final answer
(5a-5)(2a+2)
Find each product
Answers
= 5a*2a -5*2a + 2*5a - 5*2
= 10a^2 - 10a + 10a - 10
= 10a^2 - 10
The product of the equation is 10a^2 - 10
[tex](5a - 5)(2a + 2) \\10a {}^{2} + 10a - 10a - 10 \\ 10a {}^{2} - 10[/tex]
You foil and the add like terms.
3,072 c= _______ gal
Answers
That is the answer
There are 16 cups in a gallon
You divide 3072 by 16 which gives you 192.
Solve, if 1.32 : 3 1/7 = (14y) : 5/6
Answers
1.32 : 3 1/7 = (14*y) : 5/6
we know that
3 1/7------> (3*7+1)/7------> 22/7
substitute
1.32 : 22/7 = (14*y) : 5/6
1.32*(5/6)=14*y*(22/7)
1.1=44*y
y=1.1/44--------> y=0.025
the answer is
y=0.025
solve |3z-7|-4=0,|1- 3k/4|=7 plz
thx
Answers
The graph represents the feasible region for the system: y<2x x + y 45 x > 30 Minimize the objective function P = 20x + 16y.
Answers
and occurs when x= 15
and y=30
A hand-operated conduit bender with a shoe for bending 1-inch EMT can also be used to bend
A. 1-inch IMC.
B. 3/4 inch IMC.
C. 1/2 inch EMT.
D. 1-inch rigid conduit.
Answers
NEED HELP FAST PLEASE
Evaluate the limit.
a.4
c.1
b.2
d.limit does not exist
Answers
(8n2 + 5n + 2) / (3 + 2n)
Evaluating for n = inf we have:
(8 (inf) 2 + 5 (inf) + 2) / (3 + 2 (inf))
(inf) / (inf)
We observe that we have an indetermination, which we must resolve.
Applying L'hopital we have:
(8n2 + 5n + 2) '/ (3 + 2n)'
(16n + 5) / (2)
Evaluating again for n = inf:
(16 (inf) + 5) / (2) = inf
Therefore, the limit tends to infinity.
Answer:
d.limit does not exist
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?
Perimeter = 54 cm, area = 181.25 cm2
Perimeter = 54 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 181.25 cm2
Answers
2(6 cm + 8 cm) = 28 cm
The area of the given rectangle is
(6 cm)*(8 cm) = 48 cm^2
The larger rectangle will have a perimeter of
6.5*28 cm = 182 cm
The larger rectangle will have an area of
6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area
The appropriate choice is the 3rd one, ...
Perimeter = 182 cm, area = 2,028 cm^2
Answer:
Perimeter = 182 cm, area = 2,028 cm^2
Step-by-step explanation:
The scores of individual students on the american college testing (act) program composite college entrance examination have a normal distribution with a mean of 18.6 and a standard deviation of 6.0. at northside high, 36 seniors take the test. assume the scores at this school have the same distribution as national scores. what is the mean of the sampling distribution of the sample mean score for a random sample of 36 students?
Answers
How do you do a probability tree? How do you start it? How do I get all my percentages to add up to 100?
Please help guys, this is for a project. I need to know the steps on how to do one or I'll funk the class.
Answers
why you just give the question give the question && the answer !!!
Answer:
why you just give the question give the question && the answer !!!
the function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)
Answers
[tex]\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2 \\\\\\ \textit{we also know that } \begin{cases} f(x)=96\\ x=4 \end{cases}\implies 96=k(4)^2\implies 96=16k \\\\\\ \cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2} \\\\\\ \textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2[/tex]
Which number has a repeating decimal form?
a) square root of 15
b)11/25
c)3/20
d)2/6
Answers
a) square root of 15
b)11/25
c)3/20
d)2/6
The correct answer is d)2/6
Since, once solved, the value would give, 0.33333333333333333333333333333333
(K-4)(k+4)=0 quadratic equation
Answers
use:
[tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]k^2-4^2=0\\\\k^2-16=0\ \ \ \ |+16\\\\k^2=16\to k=\pm\sqrt{16}\\\\\boxed{k=-4\ \vee\ k=4}[/tex]
Other method:
[tex](k-4)(k+4)=0\iff k-4=0\ \vee\ k+4=0\\\\\boxed{k=4\ \vee\ k=-4}[/tex]
Chord SR intersects tangent AB to form ∠SRA. Find m∠SRA.
A. m∠SRA = 40°
B. m∠SRA = 80°
C. m∠SRA = 100°
D. m∠SRA = 140°
Answers
we know that
C is the center of the circle
CR=CS-----> is the radius of the circle
CR and AB are perpendicular
the triangle SCR is a isosceles triangle
angle SCR is equal to 80°------> is a central angle
angle CSR and angle CRS are equal to 50°----> because 80+50+50=180
therefore
m∠SRA=90°-m∠CRS------> m∠SRA=90°-50°=40°
the answer is
m∠SRA=40°
Answer:
C.
Step-by-step explanation: