In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Diagram
congruence = ?
Step 02:
We must apply the properties of congruence to find the solution.
The angles are equal:
∠ A is congruent to: ∠ W
∠ B is congruent to: ∠ X
∠ C is congruent to: ∠ Y
∠ D is congruent to: ∠ Z
The sides are proportional:
AB is proportional to: WX
DC:is proportional to ZY
BC is proportional to: XY
That is the full solution.
Suppose a Google.com bond will pay $4,500 ten years from now. If the going interest rate on safe 10-year bonds is 4.25%, how much is the bond worth today?
Answer:
2,967.92 ( dollars )
Step-by-step explanation:
The amount the bond is worth, should be the present value of the bond, other wise known as PV. If it is given that Google.com bond will pay $ 4,500 ten years from now, it should be that the future value, otherwise known as FV, is 4,500 dollars.
Consider the given. There is a 4.25 percent discount rate, a time span of 10 years ( tenor / time ) and of course a future value of 4,500 dollars. Using this, we can calculate the present value -
\(PV = FV / ( ( 1 + rate )^{time} ),\\PV = 4,500 / ( 1 + 4.25 / 100 )^{10}\\----\\( Calculations ) PV = ( About ) 2,967.92 ( dollars )\\Solution = 2968 ( dollars )\)
As you can see, through simple calculations the solution should be that the bond worth is about $ 2,967.92
express the ratio 60cm to 20m in the form 1:n
Answer:
1:1/3
Step-by-step explanation:
60:20
6:2
1:1/3
n=1/3
Brainliest please~
The value of n=100/3
As per given the value of 1m 100cm
then the ratio of value be 60/2000 is equal to the 1/(2000/60) 1/(100/3) on compare with 1:n then the Value be
n=100/3
What does it mean to express it as a ratio?
In mathematics, a ratio indicates how often one number contains another. For example, if you have 8 oranges and 6 lemons in a fruit bowl, the ratio of oranges to lemons will be 8: 6 (that is, 8: 6, or 4: 3).
For example, if you have one boy and three girls, you can write the ratio as follows: 1: 3 (every boy has 3 girls) 1/4 is a boy and 3/4 is a girl. 0.25 is a boy (by dividing 1 by 4)
Learn more about ratio here:https://brainly.com/question/29114
#SPJ2
At a grocery store, 4 pounds of candy costs $12. If he has $15 how many pounds of these candy can he buy?
Answer:
He can buy 5 pounds of candy.
Step-by-step explanation:
12/4 equals 3 meaning that 1 pound is 3$
That then means 15/3=5
11) The dimensions, in feet, of a rectangle are represented by expressions, as shown in the
diagram below. Explain your work.
(2.5m) ft.
(4n+ 5) ft.
The area of the rectangle is and using the length and breadth
What is the area of the rectangle?In a two-dimensional plane, a rectangle area is a space it encloses. Known for having 4 sides and 4 vertices, a rectangleis a closed shape. The sum of the spaces occupied by a rectangle three sides is known as its area. The product of a rectangle breadth and length is the usual formula for calculating its area.The area that is included within the perimeter of a flat object or figure is generally considered to be the definition of the word "area." The square units used for measuring are square metres as the standard unit.area of rectangle = length × breadth
area of rectangle = 2.5m × (4n +5)
area of rectangle = 10mn + 12.5m
To learn more about Rectangle from the given link
https://brainly.com/question/20693059
#SPJ4
Question:
The dimensions, in feet, of a rectangle, are represented by expressions, as shown in the diagram below. The area of the rectangle is 10mn + 12.5m. Explain your work.
i = prt ; p = $2,000, r = 3%, and t = 2 yr. Evaluate the following, using the given values.
HELP PLEASE
Step-by-step explanation:
Answer:
I = $ 120.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2000 × 0.03 × 2 = 120
I = $ 120.00
The simple interest accumulated
on a principal of $ 2,000.00
at a rate of 3% per year
for 2 years is $ 120.00.
Scientists have found a way to distinguish chronic-fatigue syndrome (CFS) from post-treatment Lyme disease by different proteins in a patient's spinal fluid. In a study of 3991 patients, the results to the right were found.
1538 had the protein for normal patients, CFS, and post-treatment Lyme disease;
1884 had the protein for CFS and Lyme;
408 had the protein for CFS only;
2602 had the protein for CFS;
1731 had the normal protein as well as the one for Lyme;
2798 had the protein for Lyme;
2516 had the normal protein.
Part 1
(a) There were ---- patients who only had the protein for Lyme.
(Type a whole number.)
Part 2
(b) There were ---- patients who only had the normal protein.
(Type a whole number.)
Part 3
(c) There were ---- patients who had none of the proteins.
Answer:
Part 1
(a) There were 2798 patients who only had the protein for Lyme.
Part 2
(b) There were 2516 patients who only had the normal protein.
Part 3
(c) It is not specified in the given information how many patients had none of the proteins. It is only specified that 1538 had the protein for normal patients, CFS, and post-treatment Lyme disease; 1884 had the protein for CFS and Lyme; 408 had the protein for CFS only; 2602 had the protein for CFS; 1731 had the normal protein as well as the one for Lyme; 2798 had the protein for Lyme; 2516 had the normal protein. Based on this information, it is not possible to know how many patients had none of the proteins.
Answer: There are no patients who had none of the proteins.
Step-by-step explanation: Part 1
(a) There were 408 patients who only had the protein for Lyme.
This information can be inferred from the data given: 1884 had the protein for CFS and Lyme, and 2798 had the protein for Lyme. If we subtract 1884 from 2798, we get 914 which is the number of patients who only had the protein for Lyme.
Part 2
(b) There were 2516 patients who only had the normal protein.
This information can be inferred from the data given: 1538 had the protein for normal patients, CFS, and post-treatment Lyme disease, 1884 had the protein for CFS and Lyme, and 2602 had the protein for CFS. If we add 1538, 1884 and 2602, we get 6124, then if we subtract 6124 from the total number of patients (3991) we get 2516 patients who only had the normal protein.
Part 3
(c) There were 0 patients who had none of the proteins.
This information can be inferred from the data given: 1538 had the protein for normal patients, CFS, and post-treatment Lyme disease, 1884 had the protein for CFS and Lyme, 408 had the protein for CFS only, 2602 had the protein for CFS, 1731 had the normal protein as well as the one for Lyme, 2798 had the protein for Lyme, and 2516 had the normal protein. All patients have at least one protein, therefore there are no patients who had none of the proteins.
HELP ASAP!!!
Find the square of 1-4i.
ANSAWER:
−15+8i
Explanation:
First, you can expand the square of the bynomial:
What is the slope of the line graphed below?
OA. -
OB.
312
O c. //
C.
O D. 23/0
10
(-3,-1)
(0, 1)
Answer:
Your answer is -2/-3
The formula to calculate slope is y2-y1/x2-x1
I think it will help you
a table costs five times as much as a chair a trader bought six more chairs than tables and spent $18594. if a chair costs$ 1033 how many chairs and tables did he buy?
An athlete completes a marathon(42.2 km) at a pace of 3 min per km what was her speed in km/hrs? if the world record for marathon is 2 hrs 3 mins 23 sec what pace must an athlete achieve in order to break the world record
Answer:800
Step-by-step explanation:
x + 4x = 1000
5x = 1000
x = 1000/5 = 200 dollars.
A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults. a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies
Complete Question
A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults.
a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies
a-2) What is the standard deviation?
a-3) What is the likelihood that exactly 3 adults would indicate the Treasury should continue making pennies?
Answer:
a-1 \(\= x = 11 .52\)
a-2 \(\sigma = 2.036\)
a-3 \(P(3) = 4.7*10^{-5}\)
Step-by-step explanation:
From the question we are told that
The sample size is \(n = 18\)
The proportion of adult that felt the U.S. Treasury should continue making pennies is p = 0.64
The proportion of adult that feel otherwise is
\(q = 1- p = 1-0.64 = 0.36\)
The mean is mathematically evaluated as
\(\= x = n * p\)
substituting values
\(\= x = 18 * 0.64\)
\(\= x = 11 .52\)
The standard deviation is mathematically represented as
\(\sigma = \sqrt{ npq}\)
substituting values
\(\sigma = \sqrt{18 * 0.64 * 0.36}\)
\(\sigma = 2.036\)
The likelihood that 3 adult would indicate the Treasury should continue making pennies is mathematically evaluated as
\(P(3) = \left n} \atop \right. C_3 (p)^{3} * (q)^{n-3}\)
Now
\(\left n} \atop \right. C_3 = \frac{n! }{[n-3] ! 3!}\)
substituting values
\(\left n} \atop \right. C_3 = \frac{18! }{[15] ! 3!}\)
\(\left n} \atop \right. C_3 = \frac{18 * 17 * 16 * 15! }{[15] ! (3 *2 *1 )}\)
\(\left n} \atop \right. C_3 = \frac{18 * 17 * 16 }{ (3 *2 *1 )}\)
\(\left n} \atop \right. C_3 = 816\)
So
\(P(3) = 816 * (0.64 )^3 * (0.36 )^{18-3}\)
\(P(3) = 4.7*10^{-5}\)
Is x + 4 and 2(x+2) equivalent?
No
because why not
yeahhhh
Follow the steps taken by a student to solve the equation below.
1
Solve:
3(x+2)=13-2(x+1)
Step 1:
3r+6=13-2v-2
Step 2:
3r+6=11-2
Step 3:
+6=11
Step 4:
x=15
Which is the first incorrect step in the solution shown above?
Answer:
When the hel.l did x turn into R?
Step-by-step explanation:
its step 2 forogt the variable
A sight-seeing tour bus can carry 68 people. If 330 people want to go sight-seeing on the bus, what is the minimum number of trips the bus will have to make to accommodate everyone?
The minimum number of trips the bus will have to make to accommodate everyone is 5.
To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.
1. Divide the total number of people (330) by the capacity of the bus (68):
330 / 68 = 4.85 (rounded to the nearest whole number)
2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.
3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.
4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.
It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.
For more such questions on number, click on:
https://brainly.com/question/24644930
#SPJ8
20. Martin sells used cars.
He earns $12.50 per hour, plus 3% commission on
any cars he sells.
On Monday, he worked 6.5 hours and sold a car for
$9,000.
How much money did Martin earn on Monday?
A. $351.25 B. $282.50 C. $243.75
Answer:
The short answer is that most car salespeople don't earn a whole hell of a lot of money. Dealership salespeople average about 10 car sales per month, and earn an average of about $40k per year. If you do the math, that's about $330 per car.
Step-by-step explanation:
Answer:
You should prob add then multiply
Step-by-step explanation:
i'm sorry if you don't understand !BRB when i get the answer(Let's hope i don't forget.
The radius of a cone is 2.5 units. The volume of the cone is 19 cubic units
The formula for the volume of a cone is given by the following equation:
V = 1/3 * π * r2 * h
where V is the volume of the cone, r is the radius of the cone, and h is the height of the cone.
In this case, we are given that the radius of the cone is 2.5 units and the volume of the cone is 19 cubic units. We can use this information to complete the expression that represents the height of the cone as follows:
V = 1/3 * π * r2 * h
19 cubic units = 1/3 * π * 2.5 units2 * h
19 cubic units = 1/3 * π * 6.25 units2 * h
19 cubic units = 1/3 * 19.63 units2 * h
19 cubic units = 6.54 units2 * h
h = 19 cubic units / 6.54 units2
h = 2.9 cubic units / 6.54 units
Therefore, the expression that represents the height of the cone is 2.9 cubic units / 6.54 units.
what is the area of a rectangle.2m on the top and 7m on the side A.18mB.9m C.14 sq mD.16 sq m.
Area of a rectangle is given as,
\(\begin{gathered} A=\text{length }\times breadth \\ A=2\times7 \\ A=14\text{ sq m.} \end{gathered}\)Hence, the area of square is 14 sq m.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Kelly is knitting a scarf for her brother. It took her 1/3 hour to knit 3/8 foot of a scarf. How fast is Kelly’s knitting speed, in feet per hour?
Answer:
9/8 feet per hour fast is Kelly's knitting speed
Step-by-step explanation:
Mark Brainliest Please!
What is the sum of the measures of ∠1, ∠2, ∠3, and ∠4?
Answer:
360°.
Step-by-step explanation:
1) m∠1+m∠2=m∠3+m∠4=180°;
2) then m∠1+m∠2+m∠3+m∠4=360°
The container that holds the water for the football team is 2/5 full. After pouring in 6 gallons of water, it’s 7/10 full. How many gallons can the container hold
Answer:
20
Step-by-step explanation:
We need to determine what fraction of the container 6 gallons is. We know the difference between 2/5 and 7/10 is 6 gallons, so all we have to do is solve for 7/10 - 2/5. The common denominator is 10, as both 5 and 10 are factors of 10. 10/5 is 2, so we multiply the numerator of 2/5 by 2.
7/10 - 4/10 = 3/10
We now know that 6 gallons is 3/10 of the container. Now we solve.
10/3 = 3 1/3
So:
6 x 3 1/3 = 20
Answer:
20 gallons.-
Step-by-step explanation:
Let x be the number of gallons that the container holds.
The we have the equation
2/5 x + 6 = 7/10 x
Multiply through be 10
4x + 60 = 7x
3x = 60
x = 20.
The largest 4 digit number exactly divisible by 88 is: a.9944 b.9768 c.9988 d.8888
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Use the grid to draw a rectangle that has the same perimeter but a different area than the rectangle in Part A. Write the perimeter and area of your new rectangle. Perimeter: units Area: square units
The given rectangle in Part A has a perimeter of 20 units and an area of 24 square units.
We need to create a new rectangle with the same perimeter as 20 units.
Let's say a 7 by 3 rectangle.
The perimeter is :
P = 2(3 + 7)
P = 2(10)
P = 20 units
The area is :
A = 3 x 7
A = 21 square units
The students in mr aizawa’s history class are required to read 3 books from a list of 8 books. How many different combinations of books are possible?
Answer:
I just need points I have ro freaking clue
what is 3 1/3 *2/3?
Answer:2 2/9
Step-by-step explanation:
3 1/3= 10/3, 10/3 x 2/3= 20/9= 2 2/9
Answer:
2.2222222
Step-by-step explanation:
Use a calculator
A service department at a dealership calculates the average cost of service done at their department to be $1000 with a standard deviation of $200. The service department serviced20 vehicles today. What is the probability the average cost of service for the 20 vehicles is between $900 and $1100?A)0.38B)0.97C)Sample size is too small, we do not know if service costs are normally distributed
From Central limit theorem, we must consider a sample based in at least 30 or more obwervations. That is, the sample is not significant to consider the service costs as normally distributed.
what is the y intercept ??
wilt weighs 1 1/2 times as much as Anita. together they weigh 250 lb. find anita's weight. choices for Anita's weight: 90, 100, 105, 150
Anita would weigh 100 lbs
please very soon I offer the crown !!! + 10 points urgently !!!
Answer:
a. 3
b. 5
c. 4
d. 4
e. 10
Step-by-step explanation:
Answer:
read below
Step-by-step explanation:
a.3
b.5
c.2
d.2
6. 8p
16
Select the correct answer.
Which of the following graphs shows the solution set for the inequality below?
Ix+21+7>10
OA HH
OB. H
5
1 0 1 2 3
0 1
2 3 4
10
5 6
The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.
Option D is the correct answer.
We have,
We need to isolate the absolute value |x + 2| on one side of the inequality.
We subtract 7 from both sides.
|x + 2| > 3
Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:
x + 2 > 3
or
- (x + 2) > 3
Solving for x in the first inequality.
x > 1
Solving for x in the second inequality.
-x - 2 > 3
Adding 2 to both sides and multiplying by -1.
x < -5
So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.
Using interval notation.
(-∞, -5) U (1, ∞)
Thus,
The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ1
The letters of "EAGLES" should be evenly spaced across a 70-inch-wide banner, with no margins. Each letter is 10 inches wide. How many inches (x) should exist between each pair of letters
Answer:
2 Inches or ~1.43 Inches
Step-by-step explanation:
2 Inches if it's not including the spacing before the first "E" and after the "S", ~1.43 Inches if it's including the spacing.
You would get 2 Inches since if each letter is 10 inches (total 6 letters), that would be 60 inches. There are 5 total spaces in between all the letters. 70 Inches(Banner size) - 60 Inches (total letter size) = 10 Inches, divided equally within the 5 spaces. That would equal 2 :)
You also get ~1.43 Inches by doing the same process as the one shown above^ (that is if you're including the spacing before and after the word)
:)