Given the function h of x equals 2 times the cube root of x minus 10 end root plus 4, what is the x-intercept of the function?
Answers
The cubic root function h(x) = 2 · ∛(x - 10) + 4 has an x-intercept at x = 2.
What is the x-intercept of a cubic root function?
In this question we have a cubic root function defined as h(x) = 2 · ∛(x - 10) + 4. The domain for cubic root functions are usually all real numbers as cubic roots can both positive and negative numbers.
The x-intercept of the function is refered to any point of the function that is on the x-axis. First, write the entire expression:
h(x) = 2 · ∛(x - 10) + 4
Second, equalize the equation to zero:
2 · ∛(x - 10) + 4 = 0
Third, clear the variable x:
2 · ∛(x - 10) = - 4
∛(x - 10) = - 2
x - 10 = - 8
x = 2
The x-intercept of the cubic root function h(x) = 2 · ∛(x - 10) + 4 is 2.
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Answer:
Its 2, got it right on exam.
Step-by-step explanation:
Related Questions
2) Given that Y and P are two events and P(Y) = 0.57, P(P) = 0.5 and P(Y UP) = 0.84,
Draw a Venn Diagram and find:
a) P(Yn P)
b) P(Y|P)
c) P(P|Y)
d) P(Y/P')
Answers
a) The value of P(Y∩P) =0.23
b) The value of (Y|P) = 0.34
c) The value of (P|Y) = 0.27
d) The value of P(Y/P') = 0.68
What is Venn diagram?
A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it. A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example.
Given that there are two events Y and P.
P(Y) = 0.57
P(P) = 0.5
P(Y∪P) = 0.84
The formula of intersection is P(Y∩P) = P(P) + P(Y) - P(Y∪P)
Putting P(Y) = 0.57, P(P) = 0.5, P(Y∪P) = 0.84
P(Y∩P) = 0.5 + 0.57 - 0.84
P(Y∩P) = 0.23.
b)
P(Y|P) = P(Y) - P(Y∩P)
P(Y|P) = 0.57 - 0.23
P(Y|P) = 0.34
c)
P(P|Y) = P(P) - P(Y∩P)
P(P|Y) = 0.5 - 0.23
P(P|Y) = 0.27
d) P(Y/P') = P(Y∩P') / P(P')
P(Y/P') = P(Y|P)/[1 - P(P)]
P(Y/P') = 0.34/(1- 0.5)
P(Y/P') = 0.68
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The pep squad is making mascot flags. They used 1.5 yards each of crimson, gold, and navy fabric to make 90 flags. How much fabric is needed to make 1 flag?
Answers
It will take 0.05 yards of fabric to make one flag.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that a pep squad is making mascot flags. They used 1.5 yards each of crimson, gold, and navy fabric to make 90 flags.
Assume that the total fabric needed is [x] yards. So -
(1.5 x 3) yards is needed to make 90 flags.
4.5 yards is need to make 90 flags.
1 flag will need (4.5/90) yards or 0.05 yards of fabric is needed.
Therefore, it will take 0.05 yards to make 1 flag.
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Manish borrowed some amount from bank at 4% per annum compounding yearly He lent the whole amount on anish at 6% per annum compound interest compounded half yearly if at the end of the year Manish gained Rs 104.5 find the amount that he borrowed from the bank
Answers
Answer:
Below
Step-by-step explanation:
Amount borrowed = x
Amount owed to bank at end of 1 year = 1.04 x
Manish lent out x then the amount owed to him
at end of 1 year = x (1 + .06/2)^2 = 1.0609x
GAIN = 1.0609x - 1.04x = 104.5 solve for x = 5000. Rs
The amount that Manish borrowed from the bank is ₹5000.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
If borrowed is ₹100 compound interest is ₹104
So, interest to be paid is 4.
If the shopkeeper got ₹100 then 6 months interest is 3 and next 3 months interest is ₹3.09 so interest to be paid is ₹6.09
Difference 6.09-4=2.09
If ₹2.09 is the difference principle is ₹100
₹104.50 is the difference the principle = (100×104.50)/2.09
= ₹5000
Therefore, the amount that Manish borrowed from the bank is ₹5000.
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50 apples from an orchard are randomly selected. A mean apple diameter of 2.22 inches is calculated with a margin of error of
+0.13 for a 95% confidence interval.
What is the interval estimate of the population mean?
a
99
9
1.99
2.09
Answers
The interval estimate of the population mean is equal to 2.09 < h < 2.35.
What is a confidence interval?In Mathematics and statistics, a confidence interval is sometimes referred to as level of confidence and it can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.
What is the margin of error?In Mathematics and statistics, the margin of error (MOE) can be defined as a measure of the difference that exist between an observed value and a true value of the population parameter.
Based on the information provided about these 50 apples that were randomly selected, the confidence interval at 95% is given by:
x ± E
x - E < h < x + E
2.22 - 0.13 < h < 2.22 + 0.13
2.09 < h < 2.35
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How many two-digit prime numbers have a units digit of $7$?
Answers
Answer:
Five
Step-by-step explanation:
There are 9 two-digit numbers with a units digit of 7:
17, 27, 37, 47, 57, 67, 77, 87, 97
Of these, 4 are composite numbers:
27 = 3³
57 = 3×19
77 = 7×11
87 = 3×29
The remaining 5 are prime numbers:
17, 37, 47, 67, 97
help i need perimeter of these
Answers
Answer: A= 52cm B= 94mm C= 9m D= 17cm
Step-by-step explanation:
A) You first need to find the missing sides by doing
11-9= 2
and 15-9= 6
you then add it all together
6+2+9+9+15+11=52cm
B) You first need to find the missing sides by doing
25-18=7
and 22-6= 16
you then add it all together
25+22+18+16+7+6=94mm
C) You first need to find the missing sides by doing
0.5+1=1.5 then 2.5-1.5=1
and 1.2+0.8=2 then 2-0.5=1.5
you then add the numbers all together
1+1.5+0.8+1+0.5+0.5+1.2+2.5=9m
D) You first need to find the missing sides by doing
2.5+1= 3.5 then 3.5-2=1.5
and 1.5+2.5=4 then 5-4=1
you then add all the numbers together
2.5+2.5+1.5+1+5+2+1+1.5=17cm
a line passes through point (1, 6) and has a slope of 2. what is the y-intercept?
Answers
A line passes through point (1, 6) and has a slope is y=8x-14 We want to write the equation of the line that passes through (1, -6) and has a slope of 8 in slope-intercept form
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope (8), we can immediately plug that into the equation
So far, the equation of the line is:
y=8x+b
Now we need to find b
The line passes through the point (1, -6), which means that the point is a solution to the equation; when plugged into the equation, it'll create a true statement. This can help us find unknown variables, like b
Substitute 1 as x and -6 as y in the equation to solve for b
-6=8(1)+b
Multiply
-6=8+b
Subtract 8 from both sides
-14=b
Substitute -14 as b into the equation
y=8x-14
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Write the equation of a line in slope-intercept form that passes through (−2,6) and is perpendicular to x−2y=7
Answers
The solution is y = -2x + 2
The equation of line that passes through the point P ( -2 , 6 ) and is perpendicular to the line x - 2y = 7 is given by y = -2x + 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Let the point be P = P ( -2 , 6 )
The line is perpendicular to the line x - 2y = 7
So , the product of the slopes of the lines will be -1
And , m₁ x m₂ = -1
Now , the slope of the line x - 2y = 7 is calculated as
x - 2y = 7
Adding 2y on both sides of the equation , we get
2y + 7 = x
Subtracting 7 on both sides of the equation , we get
2y = x - 7
Divide by 2 on both sides of the equation , we get
y = x/2 - 7/2
The equation is of the form y = mx + b where m is the slope and b is the y-intercept
So , the slope of the line m₁ = 1/2
Now , since the lines are perpendicular
the product of the slopes of the line will be -1
And , m₁ x m₂ = -1
Substituting the values in the equation , we get
1/2 x m₂ = -1
Multiply by 2 on both sides of the equation , we get
m₂ = -2
Therefore , the slope of the line A is -2
Now , the equation of line A is given by the formula
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 6 = -2 ( x - ( - 2 ) )
y - 6 = -2 ( x + 2 )
y - 6 = -2x - 4
Adding 6 on both sides of the equation , we get
y = -2x + 2
Hence , the equation of line is y = -2x + 2 where slope of the line is -2 and the y intercept is 2
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Help help help help help
Answers
Net profit is a company's profit after all expenses have been deducted. What remains after deducting fixed costs from gross profit is the net profit.
Why do we calculate net profit?Subtracting the cost function from the revenue function yields the profit function. Assume that the profit is denoted by P(x), the revenue is denoted by R(x), the cost is denoted by C(x), and x is the quantity of goods sold. Consequently, the profit function is denoted by P(x) = R(x0 - C) (x).
Total Revenue - Total Expenses = Net Profit
A company that sells online has a $350,000 revenue and a $50,000 cost of products sold.The net income formula is defined as the difference between the total revenue earned and the total costs.Total revenue minus all costs equals net income.
The money a corporation makes after deducting interest, operational costs, and taxes over a specific time period is known as net profit.Profit After Tax is another name for Net Profit (PAT).
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1. The equation, 687.5 = 550(1 + 0.05t), represents the amount of money earned on a simple interest savings account. What does the value 550 represent?
The value 550 represents the initial balance in the account, which means the account started with $550.
The value 550 represents the final balance in the account, which means the account balance ended with $550.
The value 550 represents the final balance in the account, which means the account balance started with $550.
The value 550 represents the amount of interest earned, which means $550 was added to the initial balance.
2. A savings account is opened with an initial deposit of $425.00. Determine the account balance after 9 years if the account earns 2.7% simple interest annually.
$3,928.28
$1,457.75
$528.28
$103.28
3. An arithmetic sequence begins with 56, 59, 62, 65, 68, …
Which option below represents the formula for the sequence?
f(n) = 56 + 3(n − 1)
f(n) = 53 + 3(n − 1)
f(n) = 56 + 3(n)
f(n) = 53 + 3(n + 1)
4. The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account. Solve for r.
r = 0.04
r = 0.14
r = 0.26
r = 0.40
Answers
Answer:
Answers below
Step-by-step explanation:
1. The value 550 represents the initial balance in the account, which means the account started with $550.
2. 528.28
425.00 x 2.7% x 9 = 103.275
Then we add 103.275 to the initial deposit of $425.00
425.00 + 103.275 = 528.275
Therefore the answer is $528.28
3. The answer for this one is f(n) = 56 + 3(n − 1)
So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is [tex]a_{n} =a_{1} +d(n-1)[/tex]
Therefore, its 56 + 3(n − 1)
4. For this one we solve for r and using a calculator its r = 0.04
The value of r from the given equation is 0.04. Therefore, option A is the correct answer.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
1) The given equation is 687.5=550(1+0.05t)
Here, amount=$687.5, principal (initial balance)=$550 and rate of interest =0.05×100 =5%
So, the value 550 represents the initial balance in the account, which means the account started with $550.
2) Given that, principal=$425.00, time period=9 years and rate of interest=2.7%
We know that, S.I=(P×T×R)/100
= (425×9×2.7)/100
= 103.275
Amount=103.275+425
= 528.275
≈ $528.28
3) The given arithmetic sequence is 56, 59, 62, 65, 68,.…
Here, first term (a)=56 and common difference=59-56=3
We know that, general form of arithmetic sequence is aₙ=a+(n-1)d
Now, f(n)=56+(n-1)3
4) The given equation is 816=600(1+9r)
1+9r =816/600
1+9r =1.36
9r=0.36
r=0.04
The value of r from the given equation is 0.04. Therefore, option A is the correct answer.
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Describe the error in finding the distance between A(6, 2) and B(1,−4). What is the actual length?
Answers
Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is [tex]\sqrt{61}[/tex] units.
What do you mean by distance?A line or line segment's length between two points along the line or line segment.
What is the formula to calculate distance between two points?
The required formula is:
[tex]d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
(x1,y1)= (6,2)
(x2,y2)=(1,-4)
[tex]d = \sqrt{(1-6)^{2}+(-4-2)^{2}}[/tex]
[tex]d=\sqrt{25+36}[/tex]
[tex]d=\sqrt{61}[/tex] units.
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Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is units.
What do you mean by distance?
Distance refers to the amount of space between two or more points, or the measure of how far apart two or more points are. It can be measured in various ways, including miles, kilometers, inches, centimeters, and more. Distance is often used to measure the length of a journey or the amount of space between two physical objects. It can also refer to the amount of time between two events, such as the distance between two birthdays. Distance can also be used to describe the relative or emotional separation between two people, such as the distance between a parent and a child.
What is the formula to calculate distance between two points?
The required formula is:
[tex]d =\sqrt{(x2-x1)^2 +(y2-y1)^3}[/tex]
(x1,y1)= (6,2)
(x2,y2)=(1,-4)
[tex]d = \sqrt{(1-6)^2 + (-4 -2)^2}[/tex]
[tex]d = \sqrt{25+36}[/tex]
[tex]d = \sqrt{61} units[/tex]
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Write an explicit rule for the general term of the sequence 5, 15, 45,...?
Answers
Answer:
a_n = 5 × 3^(n - 1)
Step-by-step explanation:
The first term is 5. Each subsequent term is the previous term multiplied by 3.
a_1 = 5 × 3^0
a_2 = 15 = 5 × 3^1
a_3 = 45 = 5 × 3²
Notice that the exponent of the 3 is 1 less then the term number.
a_n = 5 × 3^(n - 1)
PLS, HELP WILL MARK BRAINLIEST, Drag each tile to the correct box. Not all tiles will be used.
Find the increasing functions. Then arrange the increasing functions in order from the least to the greatest rate of change.
Answers
Answer:1 tile 2 box 2 tile 1 box 3 tile 5 box 4 tile 6 box 6 tile 4 box
Step-by-step explanation: math
The ascending order of increasing functions are,
y = (3/4)x - 10 < y = (1/2)x - 2 < y = (4/3)x - 7/3 < y = (3/2)x - 11/2
< y = (5/2)x + 10.
What are lines and their slopes?The equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.
When the equation of the form y = mx + b, the slopes of the function can be used to sort them in ascending order.
The equations in ascending order are,
y = (3/4)x - 10 < y = (1/2)x - 2 < y = (4/3)x - 7/3 < y = (3/2)x - 11/2
< y = (5/2)x + 10.
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Ms. Hall is buying Ms. Ward some gifts for Christmas. She is buying one big gift that
will cost $90 as well as some small gifts that cost $7 each.
1+90 +7
What is its :
Constant:
Coefficient
Equation:
Answers
When Ms. Hall is buying Ms. Ward some gifts for Christmas as described in the problem,
the Constant: $90 and $7
the Coefficient: $7
the Equation: $90 + $7x
How to find the constantInformation form the problem shows that
one big gift that will cost $90
some small gifts that cost $7 each
the constant in this case is the price of the gifts
$90 and $7
the coefficient is $7
the equation is
$90 + $7x
where x is the number of the small gifts
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XISTS6
12
515
618
Equation: y = 3x
Which representation has the greatest slope? (4 points)
a
O b
Oc
Od
The equation has the greatest slope.
The table has the greatest slope.
The table and equation have the same slope.
Their slopes cannot be determined.
Answers
The answer is: The table and equation have the same slope.
we know that:
The formula to calculate the slope between two points is equal to
m=[tex]y_2-y_1/x_2-x_1[/tex]
We have, A=(4,12) B=(5,15)
Substitute the values,
m=15-12/5-4
m=3
To find the slope of the equation, we have:
y=3x,
the equation represent a linear direct variation.
The slope is equal to m=3.
Therefore, The table and equation have the same slope.
What is a equation?
In mathematics, an equation is a formula that expresses equality by joining two expressions with an equal sign. Equations and their cousins in other languages can have subtly different meanings. For example, in French an equation is defined as containing one or more variables, but in English any formula in its proper form consisting of two equations joined by an equal sign is an equation.
To solve an equation involving variables, it is necessary to determine which values of the variables make the equation true. The variables for which the equation must be solved are also called unknowns, and the values of the unknowns that satisfy the equation are called the solution of the equation. There are two types of equations: identities and constraints. The ID applies to all values of the variable. Constraint expressions apply only to specific values of variables.
Therefore, The answer is: The table and equation have the same slope.
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simplify:
5y − 7z + 5x − z − 8x + y
Answers
Answer:
6y-8z-3x
Step-by-step explanation:
use recursion to write a static method countvowels that inputs a string and outputs the number of vowels it contains.
Answers
File name: “TestClass.java” import java.util.Scanner; public class TestClass {
What is recursion?A recursive function is one that generates a series of terms by iterating over or using its foregoing terms as input. This function is typically understood in terms of an arithmetic-geometric series with terms that share similar differences.
File name: “TestClass.java”
import java.util.Scanner;
public class TestClass {
//Define main() method
public static void main(String[] args) {
// Construct a Scanner object
Scanner scr = new Scanner(System.in);
//Ask the user to enter a decimal number
System.out.print("Enter a decimal number: ");
//Get the decimal number from the user
int decinum = scr.nextInt();
// Display the binary number
System.out.println("The binary equivalent of the decimal value"
+ decinum + " is " + dec2Bin(decinum));
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How to solve this problem? I need the answer quick as possible!
Consider the following three systems of linear equations. Answer the questions below.
For each, choose the transformation and then fill in the blank with the correct number.
The arrow → means the expression on the left becomes the expression on the right.
Answers
Answer:
24 Inches
Step-by-step explanation:
The length of a piece of wood that uses 8 nails as required in the task content is; 24 inches.
What is the length of a piece of wood that uses 8 nails?
It follows from the task content that the length of a piece of wood that uses 8 nails is to be determined from the task content.
in a hypothetical case-control study of female participants regarding exposure to emf's and breast cancer, the following data were obtained: 11 cases exposed, 108 controls exposed, 5 cases not exposed, 436 controls not exposed. what is the odds ratio for the association between exposure to emf's and breast cancer?
Answers
The odds ratio for the association between exposure to emf's and breast cancer would be (11/5) / (108/436) = 2.2.
1. Calculate the odds of exposure for cases: 11/5 = 2.2
2. Calculate the odds of exposure for controls: 108/436 = 0.25
3. Divide the odds of exposure for cases by the odds of exposure for controls: 2.2/0.25 = 8.8
4. Finally, the odds ratio for the association between exposure to EMF's and breast cancer is 2.2.
The odds ratio for the association between exposure to EMF's and breast cancer can be calculated by dividing the odds of exposure for cases by the odds of exposure for controls. To calculate this, first take the number of cases exposed (11) and divide it by the number of cases not exposed (5). This will give the odds of exposure for cases (2.2). Second, take the number of controls exposed (108) and divide it by the number of controls not exposed (436). This will give the odds of exposure for controls (0.25). Finally, divide the odds of exposure for cases (2.2) by the odds of exposure for controls (0.25). This will give the odds ratio for the association between exposure to EMF's and breast cancer (2.2).
Odds ratio = (11/5) / (108/436) = 2.2
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What is the smallest prime number that is the sum of two other distinct prime numbers?
Answers
Answer:
5
Step-by-step explanation:
2 +3 = 5
I need help please ok okokokookokook
Answers
Answer:
should be angle 7, 1, and 3
hope i could helpppp
Answer: 1 , 7 , 3
Step-by-step explanation:
The angles that habe the same measurement of angle 5 are;
1 , 7 , 3
Because the lines are parallel, these angles correspond to angle 5.
Is this true or false?
Answers
TRUE: The given contrapositive statement are correct,
If m ≤ 3, then, m < 5.
Explain the contrapositive statement?An inference rule called proof by contrapositive, also known as proof by contraposition, is used in proofs to infer a conditional assertion from its contrapositive. To put it another way, the assertion "if B, then not A" is proven rather than the conclusion "if A, then B."When you reverse the hypothesis as well as the conclusion in a statement and reject both of them, you have a contrapositive statement.For the stated conditional statement -
If m ≤ 3, then, m < 5.
Then, contrapositive statement for the given statement will be
(m < 5)' ⇒ (m ≤ 3)'
That is;
(m > 5) ⇒ (m > 3)
That is, if m> 5 then, m > 3, which is true.
Thus, the contrapositive statement for the given conditional statement is true.
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1. Which of the following is a perfect cube. (A) 100 (B) 68600 (C) 343000 (D) 400
Answers
Answer: 68600
hope it helps!
MAY I PLEASE HAVE HELP! I DONT UNDERSTAND!
Answers
Answer:
a. The population of the town in 2010 is 3476.
Step-by-step explanation:
This is an expontential model showing the growth or decay of something (in this case, the town's population).
If t is the number of years after 2010, then we can test the model by substituting values of t into the model.
In 2010 (t = 0), population = 3476 * 0.97^0 = 3476
In 2011 (t = 1), population = 3476 * 0.97^1 = 3371.72 (round to 3371 or 3372 as you can't have half a person).
In 2012 (t = 2), population = 3476 * 0.97^2 = 3270.5684 (round to 3270).
Therefore, the model shows us that the population slightly decreases each year after 2010, and 3476 will have to be the population in 2010.
Answer:
The population of the town in 2010 is 3476.
Step-by-step explanation:
The variable, t, is "the number of years after 2010." For example, if t = 6, then that means 6 years after 2010. That would be 2016.
Here, t = 0. t=0 means zero years after 2010. That IS 2010. If t=0, then the population is 3476. 3476 is the population of the town in 2010.
Remember, anything to the zero power is 1.
The sum of 18 and a number, x, equals negative 40.
Answers
Answer: -58
Step-by-step explanation:
Start by looking for key words and numbers in your question/statement:
The sum of 18 and a number, x, equals negative 40.
Notice the word sum.
Sum is addition so x plus 18 is equal to -4.
Now that we have our equation (x+18=-40) we can solve by reversing the addition with subtraction:
X+18=-40
-18. -18
X=-58
Now that you know what X is equal to, check it by plugging it back into the equation.
-58+18=-40
It fits! So -58 is your answer.
Hope this helped;)
∠Cis a right angle and AB=14 miles, determine the length of BC and AC.
Answers
The length of BC is approximately 5.72 miles and the length of AC is approximately 12.67 miles.
Let's represent the length of the side opposite angle A "BC" and the length of the side adjacent to angle A "AC". We can then use the sine function to find BC:
sin(A) = BC / AC
Substituting the given values, we get:
sin(24°) = BC / 14
We can use a calculator or look up the value of sin(24°) to get:
sin(24°) ≈ 0.406
Solving for BC, we get:
BC = 14 * sin(24°) ≈ 5.72
To find AC, we can use the cosine function:
cos(A) = AC / AC
Substituting the given values, we get:
cos(24°) = AC / 14
We can use a calculator or look up the value of cos(24°) to get:
cos(24°) ≈ 0.913
Solving for AC, we get:
AC = 14 x cos(24°) ≈ 12.67
Thus, BC is about 5.72 miles long while AC is about 12.67 miles in length.
Learn more about the triangles here:
https://brainly.com/question/17997149
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The width of a rectangle measures (7h+3)(7h+3) centimeters, and its length measures (8h-4)(8h−4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
ill give u 25 points pls help
Answers
Answer: P = 2((49h²+42h+9)(64h²-64h+16))
Step-by-step explanation:
Kaitlyn anI Jamie Watson opened a savings account with a $2,000 deposit on January 1. The account pays interest at 6% compounded semiannually. On July 1, they deposited another $2,000. What is the amount of (a) their account on July 1, (b) the account one year later on January 1, and (c) the compound interest?
Answers
Answer:
Step-by-step explanation:
a) The amount of their account on July 1 can be found by calculating the balance of the account at the end of the first six months and then adding the second $2,000 deposit:
balance at end of first 6 months = $2,000 * (1 + 0.06/2)^2 = $2,060.60
total balance on July 1 = $2,060.60 + $2,000 = $4,060.60
b) The balance of the account one year later on January 1 can be found by calculating the balance at the end of the second six months and adding it to the balance at the end of the first six months:
balance at end of second 6 months = $2,060.60 * (1 + 0.06/2)^2 = $2,123.36
total balance on January 1 = $2,123.36 + $2,060.60 = $4,183.96
c) The compound interest can be found by subtracting the initial deposit from the balance one year later:
compound interest = $4,183.96 - $2,000 = $2,183.96
True or false.
You must get common denominators before multiplying fractions.
Answers
Fátima, Gabriel y José tienen un total de $1080 en sus carteras. Gabriel tiene 3 veces lo que José tiene. Fátima tiene $70 menos
que José. ¿Cuanto dinero tienen en sus carteras?
Answers
Fátima tiene un total de $ 160, Gabriel tiene un total de $ 690 y José tiene un total de $ 230.
¿Cómo determinar el dinero requerido en sus carteras?
En este problema tenemos a tres personas, Fátima, Gabriel y José, que reúnen un total de $ 1.080. A continuación, traducimos las variables y ecuaciones asociadas a la situación:
x - Cantidad de dinero de Fátima.
y - Cantidad de dinero de Gabriel.
z - Cantidad de dinero de José.
Ecuaciones: Fátima, Gabriel y José tienen un total de $ 1080.
x + y + z = 1080
Gabriel tiene 3 veces lo que José tiene.
y = 3 · z
Fátima tiene $ 70 menos que José.
x = z - 70
A continuación, resolvemos el sistema de ecuaciones lineales:
x + y + z = 1080
(z - 70) + 3 · z + z = 1080
5 · z - 70 = 1080
5 · z = 1150
z = 1150 / 5
z = 230
x = z - 70
x = 230 - 70
x = 160
y = 3 · z
y = 3 · 230
y = 690
Para aprender más de sistemas de ecuaciones lineales: https://brainly.com/question/29142634
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