The answer would be c
Answer:
a) Samuel has a better credit score, so his interest rate is lower.
Step-by-step explanation:
Alan and Samuel both are same age and make same amount of money.
They both have a 30-year mortgage. But Alan pays 5 percent interest, while Samuel only pays 3.5 percent.
There correct answer here will be - Samuel has a better credit score, so his interest rate is lower.
When a person has a good credit rating, that means he has never defaulted any payment and has always paid his loan on time. He must be a trusted customer for the bank that is why he got a lower interest rate than Alan.
I Need Help Please!!!!!!
Answer:
A.
Step-by-step explanation:
The answer is A. B happens between 7 and 9, C happens before 6:30, and D happens between 9:30 and 10.
Tara is making dinner for 9 people. She mixes 1 1/4 kilograms of rice with 500grams of vegetables and 410 grams of meat. If all of the food is split evenly among the diners,what is the size of each serving?
Answer:
240 grams
Step-by-step explanation:
Tara uses:
[tex]1 \dfrac{1}{4}\ kg=1 \ kg\ 250 \ g=1250\ g[/tex] of rice500 g of vegatables 410 g of meatIn total, Tara uses
[tex]1250+500+410=2160\ g[/tex] of ingredients.
She is making dinner for 9 people, so the weight of each serving is
[tex]2160:9=240\ g[/tex]
I need help with question 12
The last one❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
The last one Is correct
What function does this graph represent?
Answer:
B. [tex]f(x)=0.2(x-2)^2+1[/tex]
Step-by-step explanation:
The equation of a parabola in the vertex form is given by:
[tex]f(x)=a(x-h)^2+k[/tex], where V(h,k) is the vertex of the parabola
This parabola opens upwards and has its vertex at: V(2,1)
The a-value must therefore be positive.
The function must be
[tex]f(x)=0.2(x-2)^2+1[/tex]
The correct option is B.
Find the value of the following expression:
(2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28
Write your answer in simplified form. Show all of your steps.
Answer:
25
Step-by-step explanation:
Expression: (2⁸ ⋅ 5⁻⁵ ⋅ 19⁰)⁻² ⋅ (5⁻²/2³)⁴ ⋅ 2²⁸
Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸
Combine like terms: 2¹² • 5²/2¹²
Cancel out: 5²
Solve: 25
The expression (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5^-2/(2^3)^4 ⋅ 2^28 simplifies to 2^24 * 5^8.
Explanation:To find the simplified form of the expression (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5^-2/(2^3)^4 ⋅ 2^28, you use the properties of exponentiation.
First, any number to the power of 0 is always 1, so 19^0 is 1. Also, any number to a negative power is just the inverse of that number to the positive power. Thus, 5^−5 becomes 1/(5^5). So, the part in parentheses simplifies as follows:
2^8 ⋅ 5^−5 ⋅ 19^0 = 2^8 * 1/(5^5) * 1 = 2^8 / 5^5.
To raise this fraction to the negative 2 power, you swap the numerator and the denominator and raise it to the positive 2 power:
[tex](2^8 / 5^5)^-2 = (5^5 / 2^8)^2 = 5^1^0 / 2^1^6.[/tex]
Next, we tackle the second part of the expression: 5^(-2) / (2^3)^4 = 1/(5^2) / 2^12 = 2^12 / 5^2.
Finally, we multiply this by 2^28.
So, the entire expression simplifies to:
[tex]5^1^0 / 2^1^6 * 2^1^2 / 5^2 * 2^2^8 = 5^1^0 * 2^1^2 * 2^2^8 / (2^1^6 * 5^2) = 5^8 * 2^2^4 = 2^2^4 * 5^8[/tex]
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if a car can go 200 miles and 6 hours how far can it go in 7 hours Please answer fast!
Answer:
233.33333 miles in 7 hours
Step-by-step explanation:
233.33333 miles in 7 hours
Amanda got a new cell phone and used 95 text message in the first two weeks. In those two weeks, she had used 38% of her total messages for the month. How many total available text messages did Amanda have for the month?
Answer:
D
Step-by-step explanation:
95 texts is 38% of her total messages.
95 = 0.38 × x
x = 95 / 0.38
x = 250
Which question is statistical?
a. How many cities had more than 2 inches of snow
b. Which class earned the most points?
c. Which student sold the most boxes of candy
d. How many hours did you sleep each day this month?
I think the answer is A
The question about the number of cities with more than 2 inches of snow is a statistical question as it involves data collection and analysis. Hence option a is correct.
The question, 'How many cities had more than 2 inches of snow?' is considered a statistical question. This is because it deals with the collection, analysis, interpretation, and presentation of data regarding the amount of snow that fell in various cities. Statistics is an area of mathematics that pertains to data analysis, and this question would likely require the processing and summarization of snowfall data from a number of cities.
PLEASE HELP 15 POINTS
The circumference would be 213.6283 cm and the area would be 3,631.68 cm^2
Ranger used your advice to simplify the following expression. Follow Ranger’s steps to complete the simplified expression.
4(2x – 5)
1. Distribute the 4 through the parentheses:
4(2x) − 4(5)
2. Find each product:
(blank) x − 20
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]4(2x-5) \\ \\ 4(2x)-4(5) \\ \\ 4*2=8 \\ \\ 8x-20[/tex]
For this case we have the following expression:
[tex]4 (2x-5) =[/tex]
We simplify according to the steps of Ranger.
We apply distributive property to the terms within parentheses.[tex]4 * (2x) -4 * (5) =[/tex]
We find each product:
[tex]8x-20[/tex]
Answer:
The simplified expression is 8x-20
An "8" is placed in the blank space
Linda is flying two kites. She has 99 feet of string out to one kite and 112 feet out to the other kite. The angle formed by the two strings is 39° as shown in the figure below. Find the distance between the kites
Answer:
71.49134 feet
Step-by-step explanation:
Side a = 112
Side b = 99
Side c = 71.49134
Angle ∠A = 80.37° = 80°22'11" = 1.40272 rad
Angle ∠B = 60.63° = 60°37'49" = 1.0582 rad
Angle ∠C = 39° = 0.68068 rad
: )
The distance between the kites will be 128.16 feet.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Linda has 99 feet of string out to one kite and 112 feet out to the other kite.
And, The angle formed by the two strings is 39°.
Now,
Find the distance between the kites as;
Since, Linda has 99 feet of string out to one kite and 112 feet out to the other kite.
And, The angle formed by the two strings is 39°.
Let the distance between the kites = x
So, We can formulate as;
x² = (112)² + 99² - 2 × 112 × 99 cos 39°
Solve for x as;
x² = 12,544 + 9,801 - 22,176 × 0.267
x² = 22,345 - 5,921
x² = 16,424
x² = √16,424
x = 128.16
Thus, The distance between the kites will be 128.16 feet.
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A _____ consists of two or more inequalities. At least one of these is nonlinear
Answer:
Nonlinear system of inequalities
Step-by-step explanation:
Answer:
Nonlinear system of inequalities
Step-by-step explanation:
What is the mode for the set of values? 5 9 1 2 7 3 1 8 8 1 3
The mode is the number repeated most often, so if we arrange these numbers in order, we can see what numbers repeat the most-
1 1 1 2 3 3 5 7 8 8 9
The number that repeats the most is 1
(1 counted 3 times)
(3 counted twice)
(8 counted twice)
The mode for the set of values is 1. It's calculated by counting how many times a number appears in a data collection.
What is mode?Mode is the number in the data set repeating maximum number of times. It is obtained by calculating how many times the number are repeating in a data set.
The given data set is;
5 9 1 2 7 3 1 8 8 1 3
Numbers Count (No of times)
1 3
3 2
8 2
1 is the most repeating number. It repeats three times.
Hence, the mode for the set of values is 1.
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Does anyone know this?
the square root of 108 is about 10.4 and since the negative symbol is on the outside of the square root symbol, the answer is -10.4
I don’t even know where to start please help
Answer:
12
Step-by-step explanation: we will use pathogorean theorem because there is a right triangle. a^2+b^2=c^2
We know BE=9 we need AE to find AB
You can make another triangle on the end. AD=28 - 12 (BC) = 16
16/2 = 8 so AE= 8
8^2+9^2=c^2
145=c^2
Square root of 145=c
C=12.04
simplify (11-2i)+(-3+6i)
Answer:
8+4i
Step-by-step explanation:
You use the formula a+bi
You add the whole numbers which equal a (11 + -3)
You add the imaginary numbers which equal bi (-2i+6i)
You get 8+4i
A football coach is trying to decide: When a team is ahead late in the game,
which strategy is better?
Divide the number of wins by total games for each type of defense:
Regular defense = 41 /50 = 0.82
Prevent Defense = 32/50 = 0.64
The decimal is higher for regular defense, so it is more likely to win by playing regular defense.
The last choice is the right one.
Answer:
D apex
Step-by-step explanation:
Ryan created the two-way table below to describe his scoring in his soccer team’s wins and losses last season. Ryan’s Scoring in Wins and Losses Team Won Team Lost Ryan Scored 6 4 Ryan Did Not Score 9 11 In what percentage of the team’s wins did Ryan score a goal?
Answer: There is 40% of team's win that Ryan score a goal.
Step-by-step explanation:
Since we have given that
Team Won Team lost
Ryan scored 6 4
Did not score 9 11
(by Ryan)
-------------------------------------------------------------------------
Total 15 15
Percentage of team's win that Ryan score a goal is given by
[tex]\dfrac{6}{15}\times 100\\\\=40\%[/tex]
Hence, there is 40% of team's win that Ryan score a goal.
Answer:
40%
Step-by-step explanation:
because I said so.
Please help ASAP! I will mark brainiest!
The population of Canyon Edge is 210,000, and the rate of population growth is 12.5%.
A. Using the formula for exponential growth, write a formula for the population of the town, y, after x years.
B. Next, use your formula to find population of Canyon Edge after 4 years.
Answer 2625
Step-by-step explanation: if the population is 210,000 and the rate is 12.5%
then make two fraction lines on your paper and on the second fraction line put 12.5% as the numerator and then 100 as the denominator then on the first fraction put x as your numerator and 210,000 as the denominator then cross multiple 120,000 to 12.5 then divide by 100 which your answer should be 2625
what is the interquartile range of this data set 2, 5, 9, 11, 18, 30, 42, 48, 71, 73, 81
Answer:
I believe the answer is 62.
Step-by-step explanation:
Hope my answer has helped you!
Eliminate the parameter. X= 6 cos t and y= 3 sin t
To eliminate 't' from the parametric equations X=6cos t and Y=3sin t, square both equations and substitute the resulting cos^2 t and sin^2 t values into the trigonometric identity equation sin^2 t + cos^2 t = 1. This results in the equation X^2 / 36 + Y^2 / 9 = 1, effectively eliminating 't' from the equations.
Explanation:Eliminating the Parameter for X=6cos t and Y=3sin t
Our goal here is to eliminate the parameter 't' from the two given equations, which is a common task in parametric equations.
For such problems involving sin and cos, we can use the trigonometric identity sin^2 t + cos^2 t = 1. However, the provided equations don't directly represent sin t or cos t. To bring them in those forms, we start by squaring both equations.
Squaring X and Y yields: X^2 = 36cos^2 t and Y^2 = 9cos^2 t.
Next, we solve each equation for cos^2 t and sin^2 t separately.
cos^2 t = X^2 / 36 and sin^2 t = Y^2 / 9.
Substituting these values into the trigonometric identity equation, we get: X^2 / 36 + Y^2 / 9 = 1 which is the equation of an ellipse in x and y. Hence, 't' has been eliminated.
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To eliminate the parameter x = 6 cos t and y = 3 sin t, you can express x in terms of y as x = cos(t) and substitute it into the equation y = 3 sin(t), resulting in y = 3 sin(arccos(x)).
To eliminate the parameter in this case, we need to express x in terms of y. We can start by dividing the equation X = 6 cos(t) by 6 to get x = cos(t). Then we can substitute this expression for x in the equation y = 3 sin(t) to get[tex]y = 3 sin(cos^(-1)(x)).[/tex]
Since [tex]cos^(-1)(x)[/tex]is the inverse of cosine, we can rewrite this as y = 3 sin(arccos(x)).
So, when we eliminate the parameter, we have the equation y = 3 sin(arccos(x)).
What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form?
a =
b =
c =
ANSWER
[tex]a = - 7[/tex]
[tex]b = 1[/tex]
[tex]c = 4[/tex]
EXPLANATION
The given quadratic equation is:
[tex]0 = 4 - 7 {x}^{2} + x[/tex]
We rewrite in the standard quadratic equation form to obtain,
[tex] - 7 {x}^{2} + x + 4 = 0[/tex]
Comparing this to the general standard quadratic equation.
[tex]a {x}^{2} + bx + c = 0[/tex]
We have my
[tex]a = - 7[/tex]
[tex]b = 1[/tex]
[tex]c = 4[/tex]
Quadratic equations can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
The coefficients are a = -7, b = 1 and constant term c = 4.
GivenThe given quadratic equation is;
[tex]\rm -7x^2+x+4=0[/tex]
What is a quadratic equation?Quadratic equations can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
The general form of the quadratic equation is;
[tex]\rm ax^2+ bx + c = 0[/tex]
Where x is an unknown variable and a, b, c are numerical coefficients.
On comparing the given equation with the quadratic equation the values of coefficient and constant terms are;
[tex]\rm ax^2+ bx + c = 0[/tex]
[tex]\rm -7x^2+x+4=0[/tex]
Here, a = -7, b = 1, c = 4
Hence, the coefficients are a = -7, b = 1 and constant term c = 4.
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Find the value of X. Round to the nearest tenth. Plz Help.
Answer:
x = 26.7
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan64° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{13}[/tex]
Multiply both sides by 13
13 × tan64° = x, thus
x ≈ 26.7
Answer:
x = 26.7 units
Step-by-step explanation:
1. Find the third side: 180 = 90 + 64 + A, where A is the unknown angle
A = 180 - 154, A = 26°
2. Law of sines: sinA/a = sin B/b, where A and B are angles on a triangle, and a and b are the angles' opposite sides.
Plug in: sin(26°)/13 = sin(64°)/x
Means-extremes + multiply: x = 13sin(64°)/sin(26°)
Simplify: x ≈ 26.7 units (It is better to put one equation straight into the calculator instead of doing it one at a time, since the answer will be more accurate.)
Balance this equation:
H2 + Cl2- HCI
The chemical reaction between hydrogen and chlorine to form hydrochloric acid is balanced as H2 + Cl2 -> 2HCI. This denotes one molecule of hydrogen and one molecule of chlorine reacting to produce two molecules of hydrochloric acid.
Explanation:The equation presented in the question is H2 + Cl2 -> HCI. This is a chemical reaction in which hydrogen (H2) and Chlorine (Cl2) react to form hydrochloric acid (HCI). However, the equation is not balanced as it stands. Balancing a chemical equation involves ensuring that there are equal numbers of each type of atom on each side of the equation.
In this case, the balanced equation is: H2 + Cl2 -> 2HCI This means that one molecule of hydrogen and one molecule of chlorine react to form two molecules of hydrochloric acid.
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what is one step equation
Answer:
Solving One-Step Equations. A one-step equation is as straightforward as it sounds. You will only need to perform one step in order to solve the equation. One goal in solving an equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign
Step-by-step explanation:
ex: 3x-9=25
Give brainlist plzzz
Answer:
Step-by-step explanation:
A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.
Answer by Khan Academy
(x − 3)(2x2 − 5x + 1)
Answer:
2x3 − 11x2 + 16x − 3
Step-by-step explanation:
A car leave P and drives 3km North to Q. From Q it's drives 15km on a bearing North 45degree East to R. Find the distance and bearing of R from P
Answer:
17.25 km N37.9°E
Step-by-step explanation:
The way to solve this is to determine the vertical and horizontal distances traveled.
The bearing means 45° east of north.
Vertically, the car travels a distance of:
y = 3 + 15 cos 45°
y = 3 + 7.5√2
y ≈ 13.6
Horizontally, the car travels a distance of:
x = 15 sin 45°
x = 7.5√2
x ≈ 10.6
The total distance we find with Pythagorean theorem:
d = √(x² + y²)
d = √(10.6² + 13.6²)
d ≈ 17.25
The bearing from north we find with tangent:
tan θ = x / y
tan θ = 10.6 / 13.6
θ ≈ 37.9°
What is the value of x?
The angles are congruent meaning that you can set them equal to each other:
26 = 5x + 11
Now you can solve for x
26 - 11 = 5x + (11 - 11)
15 = 5x
15/5 = 5x/5
x = 3
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
26 = 5x + 11
5x = 15
x = 3
Convert (2,210°) to rectangular form.
Answer:
(-√3 , -1)
Step-by-step explanation:
I can confirm this is the correct answer because I just took the Plato test and (2cos210, 2sin210) equals the answer.
Makayla has $8 to buy tickets at the school fair. Each ticket costs $1.50. Which inequality
best represents how many tickets she can buy?
n = number of tickets
-
-
-
A. n<5
B. n< 6
C. n<8
The tickets she can buys N<5
We have given that
"Makayla has $8 to buy tickets at the school fair. each ticket costs $1.50"
What is the formula for tickets makayla buys?Total number of money=cost for each ticket × (N)
can be written as,
[tex]$8 = (1.50/ticket)*N.[/tex]
Dividing both sides by ($1.50/ticket) results in
[tex]N=\frac{8}{1.50/ticket}[/tex]
[tex]N=\frac{8}{1.50/ticket}\\\\N= 5 \frac{1}{3} tickets[/tex]
N=5.33
Therefore tickets she can buys N=5(1/3) or < 5.
The tickets she can buys N<5.
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