Answer:
1.6 metres is 160 centimetres
Ethan is 6 centimetres taller than Uzma
Suppose a quadratic equation is given as follows:
(k – 1)x² + x + 1 = 0
Select all values of k for which the above equation has two real and unequal roots
0
.25
0.5
0.75
1
1.25
1.5
1.75
Answer:
k>1.25
Step-by-step explanation:
The given quadratic equation is :
(k – 1)x² + x + 1 = 0
We need to find all values of k for which the above equation has two real and unequal roots.
For a quadratic equation ax²+bx+c=0, for real and unequal roots,
b²-4ac>0
Here, a = (k-1), b = 1 and c = 1
Put all the values,
1²-4×(k-1)1>0
1-4k+4>0
5-4k>0
k>1.25
S, k can take values more than 1.25. Hence, it can take values 1.5, 1.75.
can anybody help me? I'll give brainlest
9514 1404 393
Answer:
65°, 35°, 90°, 115°, 80°
Step-by-step explanation:
There are 9 of the longer tick marks in 90°, so each of them represents 10°. The shorter tick marks are halfway between, so are on multiples of 5°. This lets us make a list of the angle value associated with each of the letters.
A: 0 or 180
B: 65 or 115
C: 90
D: 145 or 35
E: 180 or 0
__
Using this list, we can find the measure of each angle by finding the positive difference of the corresponding angle values associated with each of its rays.
arc AOB = 65 -0 = 65°
arc DOE = 35 -0 = 35°
arc AOC = 90 -0 = 90°
arc EOB = 115 -0 = 115°
arc DOB = 145 -65 = 80°
PLS HELP IM BEING TIMEDWhich of these statements is true? A) 349 > 456 B) 456 < 792 792 < 456 D) 792 > 863
Answer:
B
Step-by-step explanation:
792 is a bigger number than 456
Answer: B
Step-by-step explanation: 792 is larger than 456
What is the value of this number in decimal form?
Five and three hundred eight thousandths.
Find the indicated Arc length in bold . Use 3.14 for pi!
Solve for 2. Round to the nearest tenth of a degree, if necessary.
L
90
K
80
J
Answer:
41.6
Step-by-step explanation:
got it wrong and it showed me the right answer
What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters? A. 5 m B. 10 m C. 30 m D. 45 m
Answer:
B.10
Step-by-step explanation:
15=1/2b(3)
30=3b
10= base
The y value is two less than twice the x-value
Destiny has borrowed $8 from 7 different friends. Write an integer that
represents Destiny's total debt to her friends.
Answer:
56
Step-by-step explanation:
7×8=56
Hope this helps! :)
I need help with this pls help and write the Correct answer
3. The simple interest on $6,000 for 4 years is $1,680. *
What is the probability that a randomly selected day in the summer will be rainy if it’s cloudy?
Answer:
0.872
Step-by-step explanation:
Given that :
P(cloudy) = P(C) = 0.94
P(cloudy and rainy) = P(C n R) = 0.82
Probability that a given day will be rainy if it is cloudy ; this is a conditional probability problem:
Recall ; P(A|B) = P(AnB) / P(B)
P(R|C) = P(C n R) / P(C) = 0.82 / 0.94 = 0.872
Find the Laplace Transform of the following function.
f(t) = 10 cos (12t+ 60°) u(t)
Answer:
L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]
Step-by-step explanation:
f ( t ) = 10 cos ( 12t + 60°) u(t)
attached below is a detailed solution of the given problem
L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]
Paul bakes raisin bars in a pan shaped like a rectangular prism. The volume of the pan is 480 cubic inches. The
HURRY PLEASE
length of the pan is
12 inches, and its width is 10 inches
V = 480 in^3
h = ?
12 in
10 in
What is the height of the pan?
Enter your answer in the box
in inches
Answer:
The height of the pan is 4 in.
Step-by-step explanation:
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange. By what percentage is the grapcfruit heavier than the apple?
Answer:
The grapefruit is 18% heavier than the apple.
Step-by-step explanation:
Orange defines the 100% in this situation.
We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit (in percentage) will be: 100% + 8% = 108%
And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%
The difference between the two weights is then:
grapefruit - apple
108% - 90% = 18%
So the grapefruit is 18% heavier than the apple.
What is the equivalent recursive definition for an = 12+ (n - 1)3?
A. a1 = 3, An = An-1 + 12
B. a1 = 12, An = 30n-1
C. a1 = 12, Un = On-1 +3
D. a1 = n, an= 1201-1+3
Answer:
[tex]A_1 = 12[/tex]
[tex]A_n = A_{n-1} + 3[/tex]
Step-by-step explanation:
Given
[tex]A_n =12+(n-1)3[/tex]
Required
Write as recursive
We have:
[tex]A_n =12+(n-1)3[/tex]
Open bracket
[tex]A_n =12+3n-3[/tex]
[tex]A_n =12-3+3n[/tex]
[tex]A_n =9+3n[/tex]
Calculate few terms
[tex]A_1 =9+3*1 = 9 + 3 = 12[/tex]
[tex]A_2 =9+3*2 = 9 + 6 = 15[/tex]
[tex]A_3 =9+3*3 = 9 + 9 = 18[/tex]
The above shows that the rule is to add 3.
So, we have:
[tex]A_1 = 12[/tex]
[tex]A_n = A_{n-1} + 3[/tex]
I’ll give brainliest
Answer:
y = 1.19x
Step-by-step explanation:
y is the dependent variable (total cost)
x is the independent variable (number of pounds)
NO LINKS!!!
What is the volume of this solid?
220 cubic units.
Answer:
Solution given:
for small cylinder
r=1
and for large cylinder
R=5+1=6
height for both [h]=2
Now
Volume of solid=πR²h-πr²h=πh(R²-r²)
=3.14*2(6²-1²)=219.8 =220 units ³.
Small cylinder is r=1
Large cylinder is R= 5+1 =6
Height (h) =2
Volume of solid,
→ πR²h-πr²h
→ πh(R²-r²)
→ 3.14 × 2(6²-1²)
→ 219.8
→ 220 cubic units
Without using mathematical table or calculator simplify 3 4/9 ÷(5 1/3 _ 2 3/4) + 5 9/10
Answer:
[tex]{ \tt{3 \frac{4}{9} \div (5 \frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{31}{12} ) + \frac{59}{10} }} \\ \\ { \tt{ = \frac{4}{3} + \frac{59}{10} }} \\ \\ { \bf{ = \frac{217}{30} }} \\ \\ { \boxed{ \tt{answer : 7 \frac{7}{30} }}} \\ \\ { \underline{ \blue{ \tt{becker ⚜jnr}}}}[/tex]
Answer:
[tex]7 \frac{7}{30}[/tex]
Step-by-step explanation:
[tex]3 \frac{4}{9} \div ( 5\frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10}\\\\\frac{31}{9} \div (\frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} \\\\\\Solving \ using \ BODMAS\\\\First \ Solve \ expression \ inside \ Bracket \\\\\frac{31}{9} \div (\frac{(16 \times 4) - ( 11 \times 3)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div (\frac{64- 33)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div \frac{31}{12} + \frac{59}{10} \\\\\\ \\\\\\Next \ solve \ Dvision \\\\\frac{\frac{31}{9}}{\frac{31}{12}} + \frac{59}{10}\\\\[/tex]
[tex](\frac{31}{9}} \times {\frac{12}{31}) + \frac{59}{10}[/tex]
[tex]\frac{4}{3} + \frac{59}{10}\\\\ Now \ solve \ final \ expression \\\\\\\frac{(4 \times 10) + ( 59 \times 3)}{30}\\\\\frac{40 + 177}{30}\\\\\frac{217}{30}\\\\7 \frac{7}{30}[/tex]
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $2000 loan for 48 months at 3.5% APR. How much total interest will you have paid at the end of the 48 months? (Round your answer to the nearest cent.)
$
Step-by-step explanation:
Are you using a particular calculator for the class? For this class, is the payment expected to be compounded monthly?
There is a function in Microsoft Excel that will calculate the payment for you, but the answer is going to be slightly different for a business math class than a calculus-based statistics class.
The excel formula to calculate a payment is
=PMT(0.04/12,60,25000,0)
.04/12 is the interest APR on a monthly basis
60 is the number of months
25000 is the current amount owed
0 is the future balance after 60 payments
The answer from Excel is $460.41 -- ignore the negative sign for these purposes.
Multiply that number by the 60 months you pay and you get a total paid of $27,624.78
Remove the initial 25K and $2,624.78 is your interest amount.
By the way, I used the simplifying assumptions that the problem meant "interest rate" when it said "APR", and that the rate would compound monthly. In the actual loan industry, the interest rate is only part of the calculation for APR, a
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
\begin{gathered}2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71\end{gathered}
2000=x
.002916667
1−(1+.002916667)
−48
x=44.71
then it's just
44.71*48-2000=146.08
Answer:
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
[tex]2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71[/tex]
then it's just
44.71*48-2000=146.08
The set of lifespans of an appliance is normally distributed with a mean of 48 months and a standard deviation of eight months. What is the lifespan of an appliance that has a Z score of -3?
Answer:
24 months
Step-by-step explanation:
Given :
Mean = 48
Standard deviation = 8
Zscore = - 3
Using the relation :
Zscore = (x - mean) / standard deviation
Where, x = score
-3 = (x - 48) / 8
-3 * 8 = x - 48
-24 = x - 48
-24 + 48 = x
24 = x
Score = 24
wich one is the answer
Michael and Sondra are mixing lemonade. In Michael’s lemonade, the ratio of lemons to water is 1:4. In Sondra’s lemonade, the ratio of lemons to water is 2:6. Several equivalent ratios for each mixture are shown in the ratio tables.
Michael
Lemons
Cups of Water
1 4
3 12
4 16
Sondra
Lemons
Cups of Water
2 6
4 12
6 18
Imagine that you want to compare Michael’s ratio to Sondra’s ratio. Which two ratios in the tables shown have a common denominator you could use to compare?
Answer:
1/4= 3/12 & 2/6 = 4/12
Step-by-step explanation:
Answer:
Its simply B
Step-by-step explanation:
If we are to express both ratios in their simplest form, we will have the ratio of Michael’s lemonade is 1:4 and that of Sondra is 1:3. The denominator that can be used in order to compare the ratios is that which can be divided by both ratios. For example, we have 12 as a denominator. The ratios can be expressed as 3/12 and 4/12. Also, the denominator can be 24 such that the ratios can be expressed as 6/24 and 8/24.
. What is the solution of the system of equations 3x + 2y = 4 and -2x + 2y = 24? *
Answer:
x= -4
y= -8
This will be the solution
What value can you add in the blank in the expression x^2 + 6x + 7 +__ to complete the
square?
Answer:
2
Proof:
x^2 + 6x + 7 + 2 = x^2 + 6x + 9 = x^2 + 6x + 3^2 = (x + 3)^2
The value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
What is trinomial?"It is a polynomial which consists of three terms."
What is square trinomial?"A trinomial with degree 2"The general form of square trinomial is [tex]ax^{2} +bx+c[/tex] where a ≠ 0What is perfect square trinomial?"A square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac"
For given question,
We have been given a square trinomial.
[tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]
We need to find the number in the blank space, so that the given trinomial would be complete square.
Let 'm' be the required number.
So, the trinomial would be [tex]x^2 + 6x + (7 +m)[/tex]
Comparing above square trinomial with [tex]ax^{2} +bx+c[/tex],
we have a = 1, b = 6, c = 7 + m
We know, a square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac
⇒ b² = 4ac
⇒ 6² = 4 × 1 × (7 + m)
⇒ 36 = 4 × (7 + m)
⇒ 9 = 7 + m
⇒ m = 2
This means, we need to add 2 in the blank space.
So, the square trinomial would be,
[tex]x^2 + 6x + 7 + \underline {2}\\\\= x^2 + 6x + 9\\\\= (x + 3)^2[/tex]
Therefore, the value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
Learn more about perfect square trinomial here:
https://brainly.com/question/16615974
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Quantitative - Column chart
Quantitative - Line chart
Qualitative - Histogram
Qualitative - Pie chart
Answer:
A. Qualitative - Column chart
Step-by-step explanation:
Data could either be qualitative or quantitative. Quantitative data are usually given in a definite number, i.e it can be counted. While qualitative deals with characteristics, i.e it can be collected either by the use of questionnaires, or any similar method.
Therefore for the given question, the data survey is qualitative. And since the result would be presented as a graph showing the percentage users for each application, a column chart would be appropriate.
Thus for the data and its presentation, the answer is A. Quantitative - Column chart
Can y’all help me? Thanks :)
Answer:
Step-by-step explanation:
Soooo, by looking at the picture we can tell that it is a right trapezoid
The formula for the area is
(b1+b2)/2*h
(Base 1+ Base 2)/ 2 * height
Now we can plug in the numbers:
(5+15)/2*6
20/2*6
10*6
=60
1 gallon of paint per sq. foot
So Isha needs 60 gallons of paint
what is the mean mark of 847 ÷ 30?
Answer:
Step-by-step explanation:
You buy items costing $1900 and finance the cost with a fixed installment loan for 24 months at 8% simple interest per year.
1. What is the finance charge?
2. What is your monthly payment?
* Please explain how you got the answer*
9514 1404 393
Answer:
$304$91.83Step-by-step explanation:
1. The finance charge is found from the simple interest formula;
I = Prt
where P is the principal amount, r is the annual rate, and t is the number of years.
24 months is 2 years, so the interest charged is ...
I = $1900×0.08×2 = $304
The finance charge is $304.
__
2. The monthly payment will be the total amount due, divided by the number of months.
payment = ($1900 +304)/24 = $2204/24 ≈ $91.83
The monthly payment is $91.83.
can someone answer this please
Answer:
x = 14
Step-by-step explanation:
Please note, the word trapezium is a synonym for the word trapezoid.
This problem gives one the area of the trapezoid, a well as one of the measurements of a base and the height of the figure. One is asked to find the length of the other base. This can be done by using the formula to find the area of a trapezoid. This formula is the following,
[tex]A=(h)(\frac{b_1+b_2}{2})[/tex]
Where (A) represents the area of a trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represents the bases and (h) represents the height. Substitute in the given values and solve for the unknown base.
[tex]b_1=7\\h=6\\A=84[/tex]
[tex]A=(h)(\frac{b_1+b_2}{2})\\[/tex]
Substitute,
[tex]84=6(\frac{7+b_2}{2})\\[/tex]
Inverse operations,
[tex]84=6(\frac{7+b_2}{2})[/tex]
[tex]14=\frac{7+b_2}{2}[/tex]
[tex]28=7+b_2[/tex]
[tex]14=b_2[/tex]
