Answer:
(1) The formula to calculate simple interest (SI), with principal = 600$, annual rate = 4% = 0.04, and time = 9 months is:
SI = principal x rate x time
= 600 x (0.04/12) x 9
= 18$
(2) The formula to calculate the time that man walked 3.75 km, with rate of 1.25:
Time = Distance/Rate
= 3.75/1.25
= 3
Hope this helps!
Solve by completing the square.
h2 + 24h + 19 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
Answer:
-23.18, -0.82
Step-by-step explanation:
h² + 24h + 19 = 0h²+2h*12+12²-125=0(h+12)²-√125²=0(h+12+11.18)(h+12-11.18)=0(h+23.18)(h+0.82)=0h+23.18=0 ⇒ h= -23.18h+0.82=0 ⇒ h= -0.82Answer:
-23.18, -.82
Step-by-step explanation:
h^2 + 24h + 19 = 0
Subtract 19 from each side
h^2 +24h = -19
Take the coefficient of h
24
Divide by 2
24/2 =12
Square it
12^2 =144
Add this to both sides
h^2 +24h+144 = -19+144
(h+12)^2 =125
Take the square root of each side
sqrt((h+12)^2) =±sqrt(125)
h+12 = ±sqrt(125)
Subtract 12 from each side
h+12-12 = -12 ±sqrt(125)
h =-12 ±sqrt(125)
h = -12 - sqrt(125) = -23.18033989
h = -12 + sqrt(125) = -.819660113
To the nearest hundredth
-23.18, -.82
is it a proportional relationship
Answer:
Yes
Step-by-step explanation:
Which value of x would make TV lI Q5?
3
8
10
11
Answer:
3
Step-by-step explanation:
because the TV is the wrong answer and
All else being equal, a study with which of the following error ranges would be
the most reliable?
A. +-6 percentage points
B. +-15 percentage points
C. +-9 percentage points
D.+- 112 percentage points
The study with an error range of +-6 percentage points would be the most reliable.
As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.
So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.
Thus, with an error range of +-6 percentage points, has the smallest range.
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What is the radius of the circle if it has a circumference of 153.86153.86153, point, 86 units.
Answer:
24.49 units
Step-by-step explanation:
The circumference of the circle is 153.86 units.
The circumference of a circle is given as:
C = 2 * pi * r
where r = radius of the circle
Therefore:
r = C / (2 * pi)
=> r = 153.86 / (2* pi) = 24.49 units
The radius of the circle is 24.49 units.
Answer:
24.49
Step-by-step explanation:
please trust me and make me brainliest :0
La distancia de Urano al Sol es 2 870 990 000 km y la distancia de la Tierra al Sol es 1,496 × 108 km. Aproximadamente, ¿cuántas veces está contenida la distancia de la Tierra al Sol en la distancia de Urano al Sol?
Answer:
2,7204x 10^9
Step-by-step explanati
2870000000-
149600000
which equation has no solution
A l4x-2l=-6
B l-2-xl=9
Cl3x+6l=6
Dl-2x+8l=0
Answer:
l4x-2l= -6 equation has no solution
Step-by-step explanation:
l4x-2l≥0
l4x-2l= -6 equation has no solution
Please help! Correct answer only, please! I need to finish this assignment this week. What are the dimensions of the matrix shown below? A. 3 X 15 B. 5 X 3 C. 15 X 3 D. 3 X 5
Answer:
3 x 5
Step-by-step explanation:
The dimension of a matrix is normally represented in form of:
number of rows x number of columns
In the given matrix, there are 3 rows and 5 columns.
=> The dimension of this matrix is 3 x 5
=> Option D is correct
Hope this helps!
In 20 words or fewer, describe the kind of relationship you see between the x-coordinates of the midpoint and the endpoint not at the origin
Answer:
Remember, if we have two points (x1, y1) and (x2, y2) we can draw a segment that connects those two points, and we can define the midpoint of those two endpoints as:
( (x1 + x2)/2. ((y1 + y2)/2)
if we are only in the x-axis, then y = 0.
in this situation one of the endpoints seems to be at the origin, and the other is a given value (X´. 0)
Then, the midpoint is:
( (Xp + 0)/2, 0) = (X´/2, 0)
Then, the relationship is:
"the value at the midpoint is half ot the value at the endpoint that is not at the origin"
The names of 5 boys and 5 girls are in a hat. What is the probability of first drawing a girl’s name and then a boy’s name from the hat?
Answer:
9/20
Step-by-step explanation:
The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here. If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.
Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20
Answer:
so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability
Factor the expression X^4+6X^2 – 7 completely.
Answer: (x - 1)(x + 1)(x + 7)²
Step-by-step explanation:
x⁴ + 6x² - 7
find two numbers whose product is -7 and sum is +6 --> -1 & 7
Those values go into the parenthesis: (x² - 1)(x + 7)²
Notice that (x² - 1) is the difference of squares --> (x - 1)(x + 1)
Language is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading. a. true b. false
Answer: False, language is a more specific word.
Step-by-step explanation:
Language is a complex and structured system of communication.
This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.
The thing in the sentence is more general than language, this refers to communication:
"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."
So the actual sentence is false.
Which graph represents an exponential function?
Answer:
The 1st Picture
Step-by-step explanation:
An exponential function is a base with an exponent of x. The parent graph f(x) will always have an asymptote at x= 0 and curve steeply.
Answer:
A
Step-by-step explanation:
took it a minute ago on edg
Multiply.
11 x 2 =
Submit
Is it 22
Answer:
yes
Step-by-step explanation:
Answer:
Yes...yes it is.
Step-by-step explanation:
Another way to help you see it is as adding 11 + 11, because the equation is stating that there are two 11's.
could someone please help with these two questions (I WILL MARK BRAINLAST)
question 1: which of these points lies on the line y = -x + 2
question 2: evaluate: -ab-a if a=-4 and b =-5
Answer:
1. b
2. -16
Step-by-step explanation:
1. -1+2 is equal to 1 so it works
You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.
2. -(-4)(-5) is -20
-(-4) is = 4
-20+4 is -16
Simplify:
5x^3 + 4x^3
Answer:
9x^3
Step-by-step explanation:
5x^3 + 4x^3
Since these are like terms
x^3 (5+4)
9x^3
Answer:
[tex]9x^3[/tex]
Step-by-step explanation:
[tex]5x^3 + 4x^3[/tex]
Add the like terms.
[tex]=9x^3[/tex]
At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
r + f ≥ 16
4r + 2f ≤ 40What is the maximum number of ride tickets she can buy?
Answer:
The maximum number of ride tickets is 4
Step-by-step explanation:
r = number of ride tickets
f = number of food tickets
r + f ≥ 16
4r + 2f ≤ 40
Using these as equations
f = 16 -r
Using this in the second equation
4r+ 2 (16 -r) = 40
4r +32 -2r = 40
2r +32 = 40
2r = 8
r = 4
The maximum number of ride tickets is 4
Answer:
a) 4
Step-by-step explanation:
edgen2020
Solve for x
x/5 + 1 = 7
Steps:
Step 1: Simplify both sides of the equation.
1 /5x+1=7
Step 2: Subtract 1 from both sides.
1/5x+1−1=7−1
1/5x=6
Step 3: Multiply both sides by 5.
5*(1/5x)=(5)*(6)
Description:
Since we are solving for x first steps is to Simplify both sides of the equation. Then subtract 1 from both sides. After that multiply both sides by 5 and you will get your answer. The correct answer for this question is x=30.
Answer: x=30
Please mark brainliest
Hope this helps.
The value of x from the given equation is 30.
The given equation is x/5 +1=7.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, x/5 +1=7
Transpose 1 to other side of the equation, we get
x/5 =7-1
x/5 = 6
Transpose 5 to other side of the equation, we get
x = 6×5
x = 30
Therefore, the value of x from the given equation is 30.
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need help ASAP!!!
Find the sum of each infinite geometric series, if it exists
The first series diverges because each successive term is getting multiplied by -3, so the common ratio is larger than 1 in magnitude.
Assuming the second series is
3 - 3/2 + 3/4 - 3/8 + ...
then it converges because the common ratio between terms is -1/2, which is less than 1 in magnitude.
To find the value of the sum, let S denote the n-th partial sum, i.e. the sum of the first n terms in the series:
S = 3 - 3/2 + 3/4 - 3/8 + ... + 3(-1/2)^(n - 2) + 3(-1/2)^(n - 1)
Multiply both sides by -1/2:
(-1/2) S = -3/2 + 3/4 - 3/8 + 3/16 - ... + 3(-1/2)^(n - 1) + 3(-1/2)^n
When we subtract S and (-1/2) S, we see all the middle terms canceling, and we can solve for S:
S - (-1/2) S = 3 - 3(-1/2)^n
S/2 = 3[1 - (-1/2)^n]
S = 6[1 - (-1/2)^n]
As n gets larger, the (-1/2)^n term will converge to 0, leaving us with
lim (n -> infinity) S = 6
so that the series converges to 6.
I do not understand this math.
Four different positive integers have a product of 110.
What is the sum of the four integers?
Answer:32.09
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
To Find Out What are the four Positive Integers, Let's Prime Factorize 110:
110 = 1 × 2 × 5× 11
This means these are the four positive integers by multiplying which results in 110.
Now, The sum of these integers:
=> 1+2+5+11
=> 19
Since slope is calculated using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction, the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.
Answer:
The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1
Proved: This product shows that the slopes are negative reciprocals
Question:
The complete question as seen on brainly ( question ID = 13270010):
Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
Prove: The slopes of perpendicular lines are negative reciprocals.
The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Step-by-step explanation:
Line PQ contains the points (a, b) and (c, d)
Line P’Q’ contains the points (–b, a) and (–d, c)
The two lines are said to be perpendicular.
For two lines are said to be perpendicular, the product of the slope of the two lines must be equal to -1.
Let's determine if it's true for this two lines.
Find attached the the diagram and explanations.
The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1
This product shows that the slopes are negative reciprocals
Answer:5
Step-by-step explanation:
Simply the expression [tex]\frac{x-7}{3} - \frac{5-x}{2}[/tex]
Answer: [tex]\frac{5x-29}{6}[/tex]
Step-by-step explanation:
To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.
[tex]\frac{2(x-7)}{6} -\frac{3(5-x)}{6}[/tex]
Now that the fractions have the same denominator, we can distribute the numerator and subtract.
[tex]\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}[/tex]
Please help with this question thank you!
If a shape is cut ______ to the base, then the cross section looks just like the base
Answer:
Triangle
Step-by-step explanation:
Answer:
perpendicular
Step-by-step explanation:
Which expression is equivalent to a4⋅b2⋅a‐4⋅b4?
Answer:
[tex]b^6[/tex]
Step-by-step explanation:
a^4+-4 * b^2+4
a^0*b^6
Isabella changes 700 euros to pounds sterling for her trip to England. The exchange rate is 1 euro = £0.72 How many pounds will she get?
Answer:
700/1=700
Th ratio is 700 times more so we multiply by 700
700 x 0.72 = 504
504 pounds
Hope this helps
Step-by-step explanation:
She will get 504 pounds by multiplying 700×0.72= 504.
What is the benefit of changing currency?Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.
Can you change the currency at the bank?
Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).
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Can someone plz help me solve this problem I need help plz someone help me!
Answer: 25 < P < 36
15/4 < w < 26/4
35/4 < L < 46/4
Step-by-step explanation:
Perimeter is BETWEEN 25 and 36
25 < P < 36
Graph: O--------------O
25 36
Perimeter = 2L + 2w ; substitute L = w + 5
25 < 2(w + 5) + 2w < 36
25 < 2w + 10 + 2w < 36
25 < 4w + 10 < 36
15 < 4w < 26
[tex]\dfrac{15}{4}[/tex] < w < [tex]\dfrac{26}{4}[/tex]
[tex]3\dfrac{3}{4}[/tex] < w < [tex]6\dfrac{1}{2}[/tex]
Graph: O------------------------O
[tex]3\dfrac{3}{4}[/tex] [tex]6\dfrac{1}{2}[/tex]
Perimeter = 2L + 2w ; L = w + 5 --> w = L - 5
25 < 2L + 2(L - 5) < 36
25 < 2L + 2L - 10 < 36
25 < 4L - 10 < 36
35 < 4L < 46
[tex]\dfrac{35}{4}[/tex] < L < [tex]\dfrac{46}{4}[/tex]
[tex]8\dfrac{3}{4}[/tex] < L < [tex]11\dfrac{1}{2}[/tex]
Graph: O------------------------O
[tex]8\dfrac{3}{4}[/tex] [tex]11\dfrac{1}{2}[/tex]
Note: Make sure you use OPEN dots when graphing.
What is the decimal multiplier to increase by 99%?
Answer:To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2.
Step-by-step explanation:
The decimal multiplier of a number to increase by 99% will be 1.99.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Let's consider the number x.
To increase it by 20% we need to find 20% of it so 0.20x
Now, add this 20% to x so that it will increase by 20% as,
0.20x + x = 1.20x
Thus,to increase the number by 20% we need to multiply 1.20
Similarly to increase a number by 99% we need to multiply with 1.99.
Hence "The decimal multiplier of a number to increase by 99% will be 1.99".
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What is the measure of ∠R?
Answer:
∠ R ≈ 36.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos R = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RT}{RS}[/tex] = [tex]\frac{8}{10}[/tex] , thus
∠ R = [tex]cos^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 36.9° ( to 1 dec. place )