Karina use fabric for each bag is 2.5 yards.
What is unitary method?The unitary method is a process of finding the value of a single unit, and based on this value; we can find the value of the required number of units.
Given that,
Karina has 10 yards of fabric, she makes 4 equally sized bags
fabric does she use for each = [tex]\frac{10}{4}[/tex]
= 2.5 yards
It means, Karina use fabric for each bag is 2.5 yards.
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Estimate the square root of 39 to the nearest integer
Consider the chart of millionaires and population
The number of millionaires Los Angeles should have will be equal to 5,065 millionaires.
Proportion may be defined as part or share of a complete unit compared with respect to the whole unit. A proportion is basically the equality of ratios. Two different ratios can be treated as equals if they are in proportion to each other. Now, the number of millionaires in Los Angeles will be equal to the Proportion of Millionaires in Dubai multiplied by the Population of Los Angeles that is
= 0.00124 × 4,085,014
= 5,065 millionaires
The Data and Calculations will be given as:
City Millionaires Population Proportion
Los Angeles 11,560 4,085,014 0.00283 (11,560/4,085,014)
Casablanca 6,900 3,752,357 0.00184 (6,900/3,752,357)
Berlin 6,750 3,562,038 0.00189 (6,750/3,52,038)
Dubai 3,570 2,878,344 0.00124 (3,570/2,878,344)
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Complete Question:
City Millionaires Population
Los Angeles 11,560 4,085,014
Casablanca 6,900 3,752,357
Berlin
6,750
3,562,038
Dubai
3,570
2,878,344
Consider the chart of Millionaires and Population. If Los Angeles were
proportional to Dubai with respect to population, how many millionaires
should we expect Los Angeles to have? Round your answer to a whole number.
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Answer:
2 points
Step-by-step explanation:
According to the graph, the parabola has two x-intercept, where is (0,-2) and (0,-8).
Hurry Pls) Enter the rational number as
a/b where a and b are integers.
7 1/3
(Note: this isn't my work, it's my siblings and I have no idea how to answer it.)
The rational number of 7¹/₃ as; a/b where a and b are integers.
How to convert a rational number?A rational number is defined as any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero
Now, we are given the fraction as; 7¹/₃
This given number is expressed as a mixed fraction and so we convert it to improper fraction to get; 22/7
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Need help! Finding Missing Angles !
Step-by-step explanation:
Since right angles are 90°
11 = 90°
12 = 90°
13 = 90°
solve for t
300,000 = 300 (1+.0375/12) ^ (12t) / (.0375/12)
If the equation be [tex]$300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$[/tex]then the value of t = 30.43236.
How to estimate the value of t?Let the equation be
[tex]$300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$[/tex]
Multiply both sides by 0.0375 / 12, and we get
[tex]$300000 \cdot \frac{0.0375}{12}=\frac{300\left(1+\frac{0.0375}{12}\right)^{12 t}}{\frac{0.0375}{12}} \cdot \frac{0.0375}{12}$$[/tex]
Simplifying the above equation, we get
[tex]$\frac{1875}{2}=300\left(1+\frac{0.0375}{12}\right)^{12 t}$$[/tex]
Switch sides of the equation,
[tex]$300\left(1+\frac{0.0375}{12}\right)^{12 t}=\frac{1875}{2}$$[/tex]
Divide both sides by 300, and we get
[tex]$\frac{300\left(1+\frac{0.0375}{12}\right)^{12 t}}{300}=\frac{\frac{1875}{2}}{300}$$[/tex]
Simplifying the above equation, we get
[tex]$\left(1+\frac{0.0375}{12}\right)^{12 t}=\frac{25}{8}$$[/tex]
Apply exponent rules, then
[tex]$12 t \ln \left(1+\frac{0.0375}{12}\right)=\ln \left(\frac{25}{8}\right)$$[/tex]
Solving the above equation, then
[tex]$12 t \ln \left(1+\frac{0.0375}{12}\right)=\ln \left(\frac{25}{8}\right): \quad t=\frac{\ln \left(\frac{25}{8}\right)}{12 \ln \left(\frac{12.0375}{12}\right)}$[/tex]
[tex]$t=\frac{\ln \left(\frac{25}{8}\right)}{12 \ln \left(\frac{12.0375}{12}\right)}$$[/tex]
simplifying the above value of t, we get
t = 30.43236.
If the equation be [tex]$300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$[/tex]then the value of t = 30.43236.
Therefore, the value of t = 30.43236.
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In ΔSTU, \text{m}\angle S = (6x-15)^{\circ}m∠S=(6x−15)
∘
, \text{m}\angle T = (2x-2)^{\circ}m∠T=(2x−2)
∘
, and \text{m}\angle U = (4x-7)^{\circ}m∠U=(4x−7)
∘
. What is the value of x?x?
The value that makes the triangle a valid triangle is x = 17
What are angles?Angles are formed when two or more lines intersect.
This in other words means that angles is the measure of space between the intersection of rays or lines
How to determine the measure of x?The given parameters are
Shape = Triangle STU
Angle S = 6x - 15
Angle T = 2x - 2
Angle U = 4x - 7
The sum of angles in a triangle is 180 degrees
This means that
Angle S + Angle T + Angle U = 180
Substitute the known values in the above equation
So, we have the following:
6x - 15 + 2x - 2 + 4x - 7 = 180
Evaluate the like terms in the equation
So, we have the following:
12x = 180 + 15 + 2 + 7
Evaluate the like terms in the equation
So, we have the following:
12x = 204
Divide by 2
x = 17
Hence, the value of x is 17
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Solve using augmented matrices.
x+y=1
3x-y=7
The solution to the system of equation {x + y = 1, 3x - y = 7 } using augmented matrices is ( 2,-1 ).
What is the solution to the system of equation using augmented matrices?Given the system of equation in the question;
x + y = 1
3x - y = 7
First, we write the system of equation in matrix form.
[tex]\left[\begin{array}{ccc}1&1&1\\3&-1&7\\\end{array}\right][/tex]
Next, we find the reduced row echelon form
Row operation R₂ = R₂ - 3R₁ to make the entry at 2, 1 a 0.
[tex]\left[\begin{array}{ccc}1&1&1\\3-3*1&-1-3*1&7-3*1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&-1\4&4\\\end{array}\right][/tex]
Next, multiply each element of R₂ by -1/4 to make the entry at 2, 2 a 1.
[tex]\left[\begin{array}{ccc}1&1&1\\-\frac{1}{4}*0 &-\frac{1}{4}*-4 &-\frac{1}{4}*4 \\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&1&-1\\\end{array}\right][/tex]
Now, perform the operation, R₁ = R₁ - R₂, to make the entry at 1,2 a 0.
[tex]\left[\begin{array}{ccc}1-0&1-1&1+1\\0&1&-1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&0&2\\0&1&-1\\\end{array}\right][/tex]
Using the result from the matrix, x = 2 and y = -1.
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Factor out the GCF of 9x^−24x
The diameter of a basketball rim is 18 inches. What is the circumference of the rim? Write your answer using pi. Show your work.
Answer:
18 pi
Step-by-step explanation:
2xpixr d divided by 2 equals 9 pi x 2 x 9 =18
please answer the question below the top question. on both.
The value of x is 6 degrees.
It is given in the question that:-
HI is parallel to JK and FG is the transversal intersecting HI at L and JK at M.
∠LMK = 115 degrees
∠MLI = (8x + 17) degrees
We have to find the value of x.
We know that,
Angles on the same side of the transversal sum up to 180 degrees.
Hence, we can write,
∠LMK + ∠MLI = 180 degrees.
115 + (8x + 17) = 180 degrees
8x + 132 = 180 degrees
8x = 180 - 132
8x = 48 degrees
x = 48/8 degrees
x = 6 degrees
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The current population of a city is about 2,130,000 people, and it's increasing at a rate of 10 percent per year. Arrange the steps in the correct order to
show how to determine the population of the city in five years.
The population of the city in 5 years is 3430386 as the population is increasing 10% per year
What is percentage and how to calculate?
Percentage is the ratio which can be expressed as fraction of 100. And to calculate percentage we multiply by 100.
We are given that population of a city is 2130000
And the population is increasing at a rate of 10%
We are asked to find the population after 5 years
The equation can be given as (1.1)^x*2130000
We put x =5
We get
[tex](1.1)^5*2130000\\1.61051*2130000\\=3430386[/tex]
Hence the population will be 3430386 after 5 years at a rate of 10% increase per year
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whats is 2 thirds minus a half
Step-by-step explanation:
I hope it will be helpful for you.
Which method can't you use to solve this problem? x^2 + 7x =0
A) Factoring
B) Square roots
C) Quadratic formula
Two consecutive integers have a sum of 77. What are the two integers?
Answer: 38 and 39
if you add them together you get 77
Answer:
38 & 39
Step-by-step explanation:
Forming the equation,
→ x + (x + 1) = 77
→ 2x + 1 = 77
Now the value of x will be,
→ 2x + 1 = 77
→ 2x = 77 - 1
→ x = 76/2
→ [ x = 38 ]
Then the required integers are,
→ x = 38
→ x + 1 = 38 + 1 = 39
Hence, the integers are 38, 39.
In the problems below, copy the problems and the picture, mark the givens, and prove the statements.
Answer:
Step-by-step explanation:
Givens
OF = RF
OU = UR
Draw a line from U to F
UF = UF Reflexive property.
Solution
ΔOUF = ΔRUF SSS
<O = < R Congruent parts are congruent when the triangles are congruent.
Determine the minimum sample size required when you want to be % confident that the sample mean is within one unit of the population mean and. Assume the population is normally distributed.
The minimum sample size of the given condition is 89.
In given condition,
For 95% confidence level, critical value of z is z* = 1.96
The margin of error given is E = 1
Standard deviation ( α ) = 4.8
Final required sample size is;
n = [tex](\frac{z*\alpha }{E} )^{2}[/tex]
= [tex](\frac{1.96 * 4.8}{1} )^2[/tex]
= 88.51
n ≅ 89
The minimum sample size of the given condition is 89.
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A cylinder with radius r and height h is inscribed in a cone with radius of 4m and height of 10m. Express the volume V of the cylinder as a function of h.
The volume of the cylinder is 502.4m³
Volume of the cylinder:
Volume of the cylinder can be calculated by the product of the area of base and height.
For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.
V = πr²h cubic units.
Given,
A cylinder with radius r and height h is inscribed in a cone with radius of 4m and height of 10m.
Here we need to find the volume of the cylinder,
We know that the values of,
Radius = 4m
height = 10m.
Now we have to apply the value on the formula, then we get,
V = π x (4)² x 10
Apply the value of π as 3.14 then we get,
V = 3.14 x 16 x 10
V = 502.4
Therefore, the volume of the cylinder is 502.4 m³.
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PLEASE HELP QUICK. NOW NEEDED
pls tell me u understand the drawing
Add parentheses to make true3 + 4 × 2 = 1472 ÷ 12 - 6 = 12
We want to find where to put the parentheses on each expression to make the expression true.
First, we identify the symbols +, x, / and - to identify the pairs of numbers. For example, in the expression
[tex]3+4\cdot2[/tex]we have two symbols (+, *).
Now, this would give us two pairs of expression where we can put the parentheses. That is, one possibility per symbol. So we have
[tex](3+4)[/tex]and
[tex](4\cdot2)[/tex]Now, let us try the first choice. Remember that first we have to evaluate what is inside the parentheses. This would give us
[tex](3+4)\cdot2=7\cdot2=14[/tex]which coincides to the value we wanted.
In the second case, we have the following symbols / and -
This would give us two pairs for grouping, namely
[tex](72/12)[/tex]and
[tex](12\text{ -6)}[/tex]as before, we will first evaluet the first option
[tex](\frac{72}{12})\text{ - 6=6 -6 =0}[/tex]If we try the second option, we woud get
[tex]\frac{72}{(12\text{ -6)}}=\frac{72}{6}=12[/tex]which would give us the correct value.
Solve the inequality.8(x-1) >12(x-2)
SOLUTION
Solve the inequality.
[tex]8(x-1)>12(x-2)[/tex][tex]\begin{gathered} 8(x-1)>12(x-2) \\ 8x-8>12x-24 \\ 8x-12x>-24+8 \\ -4x>-16 \end{gathered}[/tex]divide both sides by -4
[tex]\begin{gathered} -4x>-16 \\ x<\frac{16}{4} \\ x<4 \end{gathered}[/tex]Please help me. It’s due today I do not understand it
The slope of the line above is -2.
How to find the slope of a line?The slope of a line can be defined as the change in y with respect to the change in x .
The slope can be regarded as rise over run.
The slope can be express in mathematical form as follows;
slope = m = y₂ - y₁ / x₂ - x₁
using the coordinates on the graph,
(0, 3)(3, - 3)
x₁ = 0
x₂ = 3
y₁ = 3
y₂ = - 3
Therefore,
slope = -3 - 3 / 3 - 0
slope = - 6 / 3
Hence,
slope = - 2
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-4(w + 5) + 5w simplify use distributive property
Answer:
w - 20
Step-by-step explanation:
Simplifying the expression:Remove the parenthesis by multiplying each term of (w + 5) by (-4)
-4(w + 5) + 5w = -4*w + 5*(-4) + 5w
= -4w - 20 + 5w
= -4w + 5w - 20
Combine like terms. Like terms have same variable with same power.
= w - 20
the head of institutional research at a university believed that the mean age of full-time students was declining. in 1995, the mean age of a full-time student was known to be 27.4 years. after looking at the enrollment records of all 4934 full-time students in the current semester, he found that the mean age was 27.1 years, with a standard deviation of 7.3 years. he conducted a hypothesis of : 27.4 years versus : 27.4 years and obtained a p-value of 0.0020. he concluded that the mean age of full-time students did decline. is there anything wrong with his research?
No, there is nothing wrong in the research that is done by the head of the institution. He said correct that the mean age of the full time students has declined.
Given above that a university's director of institutional research thought that the average age of full-time students was lowering. The average age of a full-time student in 1995 was 27.4 years old.
He registered all 4934 pupils for this and the average age was 27.1 years.
The fact that the inquiry concerns the average age of a full-time student makes this situation ideal. This is a trustworthy approach when the mean is calculated after accounting for all full-time students at the university.
Given that this is a left-tailed test, the hypothesis is also correct.
He rejected the null hypothesis because p = 0.0020.05.
The average age did decrease, in conclusion. The situation is ideal.
Therefore his hypothesis is absolutely correct. There is nothing wrong with it.
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Please answer if blurry let me know
Answer:
[tex]P'(-6,4)[/tex]
Step-by-step explanation:
P(x,y) -> rotate 90 degrees -> P'(-y,x)
P'(-6,4)
:]
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A financial planner has a client with 16000$ to invest. If he invests $10,000 in a certificate of deposit paying 12% annual simple interest, at what rate does the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly interest?
As per the Simple interest concept, at 7% of rate the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly interest.
Simple interest.
Simple interest is calculated by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given,
A financial planner has a client with 16000$ to invest.
Here we need to calculate the rate does the remainder of the money need to be invested so that the two investments together yield at least $1620 in yearly interest when he invests $10,000 with the annual simple interest 12%.
Let us consider R represents the rate that remainder of money needs to be invested
Here we know that, $10,000 is invested at 12%
So, according to the formula the interest at 12% is evaluated as,
=> $10,000 * 0.12 * 1 = $1200
And the remaining $6000 is invested at R%
Then the interest at R%=$6000 * R * 1 = $6000R
Now we need to find that the two investments together need to yield at least $1620, so our equation to solve is:
$1620 = $1200 + $6000R
Now, we have to subtract $1200 from both sides, then we get,
$1620 - $1200=$6000R
Then collect similar terms
$420=$6000R
Now, divide both sides by $6000
R=0.07 or 7%
Therefore, the answer is 7%.
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Victor made a scale drawing of bedroom using a scale in which 3 inches represents 2 feet. The height of his bedroom is 10 feet.What is the height of the scale drawing in inches?
please help due in 10 mintuees!!!
The height of the scale drawing in inches is 15.
As per the scale factor, the ratio of measurement in real is equal to the measurement to measurement of scale drawing. So, representing the two ratio -
3 inches : 2 feet = Height : 10 feet
Rearranging the formed ratio to find the height of bedroom in scale drawing is -
Height = (3 inches × 10 feet ) ÷ 2 feet
Performing division to find the height of bedroom in scale drawing
Height = 3×5
Performing multiplication to find the height of bedroom in scale drawing
Height = 15 inches
Therefore, scale drawing of 10 feet high bedroom will be 15 inches.
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A model car has a list price of $46.20. The model is on
sale at 15% off. Find the total cost to the nearest cent
after a 4.5% sales tax is added to the sale price.
Answer:The total cost is $41.04
Step-by-step explanation:
Factor by Grouping.. I know there is no common GCF but i don't know how to continue!
xy^2 − 3xy − 6y + 18
Answer:
(xy-6)(y-3)
Step-by-step explanation:
i don't know if you needed this, but if you need this i can explain step by step
xy(y-3)-6(y-3). we take the common ones out and than simplify as:. (xy-6)(y-3)
X-intercept
Find f(-2)
Find x for f(x)=2
By using the graph we can see:
x-intercept: x = 0.f(-2) = 4f(x) = 2 for x = -1.3How to find the requested values?First, we want to find the value of x such that the graph touches (intercepts) the x-axis.
On the graph, we can see that it intercepts the x-axis at x = 0, so that is the x-intercept.
Now we want to find f(-2), this is the value of the function when x = -2, to find that we first need to find x = -2 in the horizontal axis.
f(-2) = 4
Now we want to find the value of x such that:
f(x) = 2
so now we need to find 2 in the vertical axis. we can see that the function is equal to 2 for x = -1.3 (approximation).
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