The real value of a is 15.
Given,
[tex]a^2 = 225[/tex]
Determine the real value of a
What is Perfect Square?
An integer that can be expressed as the square of another integer is called a perfect square. In other words, it is defined as the product of some integer with itself.
Here, find the square root of 225
Now,
[tex]a^2 = 225 \\\\a = \sqrt{225}[/tex]
a = 15 x 15 = 225
Hence, The real value of a is 15.
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Answer: the answer is the last option
Step-by-step explanation: I took the test and got it right
3. The volume of the cone is 4π dm3 and the diameter of the base is 80 cm. Calculate the cone: the area of the base.
Answer:
[tex]Area\text{ of the base = 50.24 dm}^2[/tex]Explanation:
Given:
Volume of the cone = 4π dm³
diameter of the base = 80cm
To find:
the area of the base
The base of a cone is a circle. Area of the base will be area of the circle
[tex]\begin{gathered} Area\text{ of a circle = \pi r}^2 \\ r\text{ = radius} \end{gathered}[/tex]diameter = 80cm
diameter = 2(radius)
radius = diameter/2
radius = 80/2 = 40 cm
We need to convert from cm to dm to get same units
10cm = 1 dm
40cm = 4 dm
let π = 3.14
substitute the values into the formula:
[tex]\begin{gathered} Area\text{ of the circle = 3.14 }\times\text{ 4}^2 \\ Area\text{ of the circle = 50.24} \\ \\ Area\text{ of the base = 50.24 dm}^2 \end{gathered}[/tex]What else would need to be congruent to show that. abc xyz by aas
What do you know about the role of financial accounting standard setting in the United States? This is actually for an intermediate accounting course in college
The role of financial accounting standard setting in the United States is to establish and improve financial accounting and reporting standards to provide useful information to those who need it.
What is the Financial Accounting Standard?The Financial Accounting Standard is a term to refer to an institution established in 1973 that was created with the objective of establishing financial reporting and accounting standards for public and private companies and non-profit organizations.
What is the role of this institution?The main role of this institution is to create accounting standards focused on public companies. This process of creating accounting standards is focused on promoting financial information in the financial field for different institutions and people interested in investing.
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HELP ASAP PLS PLS PLS
Jimmy earned $6840 from the gift basket sold
What is selling price ?
The selling price is how much a buyer pays for a product or service.
Given,
Number per basket for fruits = 12
Total number of fruits shipped last year = 3,420
Per basket price = $24
Now, we have to find total number of baskets
Total number of baskets = 3420 / 12
= 285
Total amount jimmy earned = 285 * 24
= $6840
Therefore, Jimmy earned $6840 from the gift basket sold.
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1 1/6 divided by 2 2/3
Answer:
7/16
Step-by-step explanation:
Convert "mixed numbers" into "improper fractions":
1 1/6 = 7/6
2 2/3 = 8/3
1 1/6 divided by 2 2/3 = 7/6 divided by 8/3
Apply the KFC rule:
1) Keep the first
7/6
2) Flip the second
8/3 becomes 3/8
3) Change the sign
7/6 multiplied by 3/8
7/6 × 3/8
= 7×3 / 6×8
= 21/48
= 7/16
Enter values for alien base of the system of equation shown has one solution
we have the system of equations
y=3x+4 ----> equation 1
y=ax+b ----> equation 2
Remember that
The only condition for the system, to have only one solution is that the slopes of both lines are different
so
The values for a are all real numbers except for a=3
The values for b are all real numbers
Therefore
A solution could be
a=2 and b=4The solution is (0,4)
Please find the square root. Round your answer to the nearest thenth.√121=
Explanation
Step 1
A square root of a number is a value that, when multiplied by itself, gives the number.
hence, we need to find a value(s) that when multiplied by itself gives 121,so
[tex]\sqrt[]{121}=\pm11[/tex]because
[tex]\begin{gathered} 11\cdot11=121 \\ or \\ -11\cdot-11=121 \end{gathered}[/tex]I hope this helps you
what is the GCF (-3x, 6x, 12x)
Answer:
3x
Explanation:
First, find the prime factorization of each of the terms:
[tex]\begin{gathered} -3x=-1\times3\times x \\ 6x=2\times3\times x \\ 12x=2\times2\times3\times x \end{gathered}[/tex]Next, pick the term that is common in the three products:
[tex]\begin{gathered} \text{GCF}=3\times x \\ =3x \end{gathered}[/tex]The GCF of -3x, 6x, and 12x is 3x.
Rectangular Prism: a. The measures: I =5, w = 7, h = 8 .. b. The measures: h =7, w = 7,1 = 7. C. W = 3.6, I = 4.2, h = 8.3
ANSWER:
a. 280 cm^3
b. 343 cm
STEP-BY-STEP EXPLANATION:
The formula for the volume of the rectangular prism is as follows:
[tex]V=l\cdot w\cdot h[/tex]We replace for each case:
a.
[tex]\begin{gathered} V=5\cdot7\cdot8 \\ V=280 \end{gathered}[/tex]b.
[tex]\begin{gathered} V=7\cdot7\cdot7 \\ V=343 \end{gathered}[/tex]c.
[tex]undefined[/tex]Find the zeros for:f(x)=x^5+2x^4+11x^3+22x^2+24x+48
The given polynomial
[tex]f\mleft(x\mright)=x^5+2x^4+11x^3+22x^2+24x+48[/tex]To get the zeros of the polynomial, the best way to go about it is the graphical method
Upon graphing the polynomial
we will have
C. 3 to 2 D. 1 to 1Will give brainliest
AS shown in the table :
The number of t-shirts and shorts = 25 + 15 = 40
The number of sunglasses = 10
So, the ratio between them =
[tex]\frac{40}{10}=\frac{4}{1}[/tex]so,the answer will be option B: 4 to 1
please help me out quickly
[tex]A^{-1} =\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right][/tex]
[tex]x =\left[\begin{array}{ccc}108\\-14\\22\end{array}\right][/tex]
Given matrix A:
[tex]\left[\begin{array}{ccc}5&-15&-44\\-1&2&6\\1&-3&-9\end{array}\right][/tex]
To find the inverse of the matrix we start by finding the determinant of the matrix.
|A| = 5(-18+18) + 15(9-6) - 44(3-2)
= 0 + 15(3) - 44 = 45 - 44 = 1
As the determinant 1 ≠ 0, hence the inverse of the matrix exists.
Now, we find the minors of each element of the matrix.
m₁₁ = [tex]\left[\begin{array}{ccc}2&6\\-3&-9\end{array}\right][/tex] = 0
m₁₂= [tex]\left[\begin{array}{ccc}-1&6\\1&-9\end{array}\right][/tex] = 3
m₁₃ = [tex]\left[\begin{array}{ccc}-1&2\\1&-3\end{array}\right][/tex] = 1
m₂₁ = [tex]\left[\begin{array}{ccc}-15&-44\\-3&-9\end{array}\right][/tex] = 3
m₂₂ = [tex]\left[\begin{array}{ccc}5&-44\\1&-9\end{array}\right][/tex] = -1
m₂₃ = [tex]\left[\begin{array}{ccc}5&-15\\1&-3\end{array}\right][/tex] = 0
m₃₁ = [tex]\left[\begin{array}{ccc}-15&-44\\2&6\end{array}\right][/tex] = -2
m₃₂ = [tex]\left[\begin{array}{ccc}5&-44\\-1&6\end{array}\right][/tex] = -14
m₃₃ = [tex]\left[\begin{array}{ccc}5&-15\\-1&2\end{array}\right][/tex] = -5
The cofactor matrix can be obtained as:
[tex]\left[\begin{array}{ccc}0&3&1\\3&-1&0\\-2&-14&-5\end{array}\right][/tex]
Now the adjoint of matrix A (written as adj A) by taking the transpose of the cofactor matrix of A is,
[tex]\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right][/tex]
To determine the inverse of a square matrix A, we use the formula:
A⁻¹ = adj(A) / |A|
Therefore, the inverse of the given matrix is:
A⁻¹ = 1/1 [tex]\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right][/tex]
It is given, Ax = b
and b = [tex]\left[\begin{array}{ccc}-2\\-2\\-2\end{array}\right][/tex]
Let x be [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex]
Putting values in Ax = b equation,
[tex]\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right]\left[\begin{array}{ccc}a\\b\\c\end{array}\right]=\left[\begin{array}{ccc}-2\\-2\\-2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-3b-2c\\-3a-b+14c\\a-5c\end{array}\right]=\left[\begin{array}{ccc}-2\\-2\\-2\end{array}\right][/tex]
Equating the three equations with the respective values,
So, -3b - 2c = -2
-3a -b + 14c = -2
a - 5c = -2 ⇒ a+2/5 = c
Solving the above equations we obtain the values of a,b, and c as 108, -14, and 22.
So, the matrix x is
[tex]x =\left[\begin{array}{ccc}108\\-14\\22\end{array}\right][/tex]
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Factor. v2 + 22v - 23
we can factor this quadratic expression finding the zeros, as follows:
[tex]\begin{gathered} v_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ v_{1,2}=\frac{-22\pm\sqrt[]{22^2-4\cdot1\cdot(-23)}}{2\cdot1} \\ v_{1,2}=\frac{-22\pm\sqrt[]{484+92}}{2} \\ v_{1,2}=\frac{-22\pm\sqrt[]{576}}{2} \\ v_1=\frac{-22+24}{2}=1 \\ v_2=\frac{-22-24}{2}=-23 \end{gathered}[/tex]Then, the quadratic expression can be expressed as
[tex]\begin{gathered} a(v-v_1)(v-v_2) \\ v^2+22v-23=(v-1)(v+23) \end{gathered}[/tex]So there's a question and it's like a parallelogram and it's for question true and it's 10' by 5' and I'm trying to find out that area
we have that
the area of a parallelogram is
A=b*h
we have
b=10 ft
h=5 ft
so
A=10*5=50 ft2
area is 50 square feetThe price of tuition has tripled since my parents went to school - that’s a 200% increase
in price.
The statement makes sense. This is because A 200 percentage increase in price corresponds to a price that is 300% of the original price
How to illustrate the information?You can express a fraction of something using percentages. A change in something can be described using percentages. As an illustration, the price of milk increased by 5% last month.
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage.
A figure or ratio stated as a fraction of 100 is called a percentage. The % sign is frequently used to indicate it. In this case, 200% of something implies that it will give 300% of the initial amount.
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The price of tuition has tripled since my parents went to school thats a 200% increase in price corresponds to a price that is 300% of the original price. Does this makes sense?
Select the correct answer.Which expression has a value closest to 1? (Use 3.14 as the value of T.)OA.77V10OB. V75-V74OC. 37-V26OD3V5 V20V2
the expression has a value closest to 1 is √37 - √26 (option C)
Explanation:
To determine the expression, we need to solve each of the options.
a) 7π/√10 = 7(3.14) /√10 = 21.98/3.1623
= 6.95
b) √75 - √74 = 8.66 - 8.60
= 0.06
c) √37 - √26 = 6.083 - 5.099
= 0.984
d) (3√5 - √20)/√2 = (6.708 - 4.472)/1.414 = 2.236/1.414
= 1.58
√37 - √26 = 0.984 is closest to 1
From the above, the expression has a value closest to 1 is √37 - √26 (option C)
Can u solve it please
Answer:
1. you have to write down Some nubers in the koordinatsystem
than you can read that it is(if you use only one Box) (-6|5)(6|1)
Lovely Landscapes has been contracted to plant some trees and bushes at a new park in Townsend. They have a budget of $1008. Each tree(x)costs $63 and each bush(y) costs $28. Write the equation that represents the situation: no spaces,no dollar signs
The equation will be
[tex]63x+28y=1008[/tex]solve for the unknown angle measure given that f || g
a circular garden has a diameter of 8 yards. what is the area of the garden? use 3.14 for piπ.
To calculate the area of a circle you have to use the following formula:
[tex]A=\pi r^2[/tex]Where
A is the area
π is the number pi, for this exercise you have to use up to its two first decimal values: 3.14
r is the radius.
The radius of a circle is half its diameter, so the radius of the circular garden will be
[tex]\begin{gathered} r=\frac{d}{2} \\ r=\frac{8}{2} \\ r=4\text{yards} \end{gathered}[/tex]Next, you can calculate the area of the circular garden as follows:
[tex]\begin{gathered} A=3.14\cdot(4^2) \\ A=3.14\cdot16 \\ A=50.24yd^2 \end{gathered}[/tex]The area of the circle is 50.24yd²
What is debt? How does debt create financial risk and instability?
Debt can be defined as a sum of money that is owed or due.
Debt creates financial risk and instability by:
a) spreading economic pain and hardship to the country's citizens and to other countries.
b) causing Financial losses, market turmoil, and sharp slowdowns in trade and economic growth are some of the ways countries can feel the effects of a debt crisis in other countries.
c)Creating a heavy debt load that you can’t pay off, your credit score will start to go down resulting in a bad credit score and report.
d) leading to stress by limiting your ability to enjoy life. This can result in various health issues.
Debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. Debt is a deferred payment, or series of payments, differentiating it from an immediate purchase. It can lead to financial risk and instability for both individuals and the state at large.
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One positive number is 5 times another number. The difference between the twonumbers is 148. Find the numbers.0 20 and 100O 37 and 1850 1 and 5O 50 and 250
Let L and M represent two positive numbers.
Since one positive number is 5 times another number, we can make the statement:
[tex]L=5M[/tex]Since the difference between those numbers is 148, we can write down:
[tex]L-M=148[/tex]Where we have chosen L-M instead of M-L since L is greater than M and both are positive numbers (by using M-L, the difference would be negative).
Substitute 5M for L in the second equation:
[tex]5M-M=148[/tex]Solve for M:
[tex]\begin{gathered} 4M=148 \\ \Rightarrow M=\frac{148}{4} \\ \Rightarrow M=37 \end{gathered}[/tex]Once knowing M, multiply by 5 to get L:
[tex]\begin{gathered} L=5\cdot37 \\ =185 \end{gathered}[/tex]Therefore, those two numbers are 37 and 185.
The inner core is solid because the inner core consists of a lot of pressure and high temperatures. And the more pressure and high temperatures the more dense the substance gets.
The inner core is solid because the inner core consists of a lot of pressure and high temperatures. This is true.
How to illustrate the information?The pressure surrounding the inner core, as well as the planet's atmosphere, keeps the iron from melting. The iron atoms cannot migrate into a liquid form due to the pressure and density, which are simply too high.
Temperature is a measure of how hot or cold something is, more particularly the average kinetic energy of the particles in an object, which is a sort of energy related with motion. Temperature is a measure of how hot or cold something is represented in terms of one of several scales, including Fahrenheit and Celsius.
Because the inner core is under intense pressure and is extremely hot, it is solid. And the stuff becomes denser as pressure and temperature increase. Therefore, the inner core's high heat and pressure are what are solidifying it since the denser the stuff is, the more solidified it becomes.
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The inner core is solid because the inner core consists of a lot of pressure and high temperatures. And the more pressure and high temperatures the more dense the substance gets. True or false?
use a system of equations with two variables and two equations to solve.A number is 11 more than another number.twice the sum of the two numbers is 42. find the two numbers
"A number is 11 more than another number" can be expressed as
[tex]x=y+11[/tex]"Twice the sum of the two numbers is 42" can be expressed as
[tex]2(x+y)=42[/tex]So, these two equations for a system. Let's combine them to find y in the first place
[tex]\begin{gathered} 2(x+y)=42 \\ 2(y+11+y)=42 \\ 2(2y+11)=42 \\ 2y+11=\frac{42}{2} \\ 2y+11=21 \\ 2y=21-11 \\ 2y=10 \\ y=\frac{10}{2} \\ y=5 \end{gathered}[/tex]Then, we find x
[tex]x=y+11=5+11=16[/tex]The solution is (16, 5).The tank of a car holds 10 gallons of gas. How many liters does the tank hold?
Given:
The tank of a car holds 10 gallons of gas.
To find the number of liters does the tank hold:
As we know,
1 gallon = 3.785 liters
So that, for 10 gallons
[tex]\begin{gathered} =10\times3.785 \\ =37.85\text{ liters} \end{gathered}[/tex]Thus, the tank can hold 37.85 liters of gas.
Given f(x), use Remainder Theorem to find f(4). f (x) = 2x^3 – 11x^2 + 7x - 5
To find f(4) you divide the given polynomial into (x-4):
To divide:
1. Divide the first term of the dividend by the highest term of the divisor:
[tex]\frac{2x^3}{x}=2x^2[/tex]2. Multiply the divisor by the result:
[tex]2x^2(x-4)=2x^3-8x^2[/tex]3. Substract the product in step 2 from the appropiat terms of the dividend (when you substract the symbols change) (then bring down the next term from the dividend)
4. Repeat previous steps:
[tex]\frac{-3x^2}{x}=-3x[/tex][tex]-3x(x-4)=-3x^2+12x[/tex][tex]\frac{-5x}{x}=-5[/tex][tex]-5(x-4)=-5x+20[/tex]As the remainder is -25:
[tex]f(4)=-25[/tex]find the area of the shaded sector in terms of Pi
g(x) = 4x+5f(x) = 2x - 2Find (g•f )(x)
The value of the function (g•f )(x) is 8x-3.
Given the functions are:
g(x) = 4x+5
f(X) = 2x-2
we are asked to determine (g•f )(x) = ?
⇒ g(x) = 4x+5
⇒ f(x) = 2x-2
⇒ (g•f )(x), substitute the value for f(x)
⇒ g(f(x))
⇒ g(2x-2)
now put the value g(2x-2) in g(x)
⇒ g(2x-2) = 4x+5
⇒ g(2x-2) = 4(2x-2) + 5
⇒ g(2x-2) = 8x - 8 + 5
⇒ g(2x-2) = 8x - 3
Hence we get the value of (g•f )(x) as 8x-3
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Fill out this whole column in an organized manner please
We can calculate the slope as:
[tex]S=\frac{{\Delta}Y}{\Delta X}[/tex]From this, we have: (FIRST ANSWER)
[tex]\begin{gathered} S_{ZY}=\frac{0-\mleft(-3\mright)}{1-6}=-\frac{3}{5} \\ S_{YX}=\frac{-6-(-3)}{1-6}=\frac{3}{5} \\ S_{XW}=\frac{-3-(-6)}{-4-1}=-\frac{3}{5} \\ S_{WZ}=\frac{-3-0}{-4-1}=\frac{3}{5} \end{gathered}[/tex]The length of the non-parallel sides can be measured as:
[tex]L=\sqrt[]{(\Delta Y)^2+(\Delta X)^2}[/tex]From this, we have: (SECOND ANSWER)
[tex]\begin{gathered} L_{ZW}=\sqrt[]{(1-(-4))^2+(0-(-3))^2}_{}=\sqrt[]{25+9}=\sqrt[]{34} \\ L_{ZY}=\sqrt[]{(6-1)^2+(-3-0)^2}=\sqrt[]{25+9}=\sqrt[]{34} \end{gathered}[/tex]From the figure in the beginning and the values we found, this is a Rhombus.
Find x to the nearest tenth.
The value of x = 42
Given : A right angled triangle with the below mentioned measures :
angles ∠ 1 = 28 °
∠ 2= 25° and the length is 600
To find : the value of x
Let us assume the rest of the length is y that is the side opposite of the angle will now be x + y
thus tan 28 ° = [tex]\frac{x+y}{600}[/tex]
tan 28 °= 0.53 thus the equation after cross multiplying becomes ;
0.53 × 600 = x + y
318 = x + y ------------------ equation 1
And tan 25° = [tex]\frac{y }{600}[/tex]
tan 25 ° = 0.46
After cross multiplying we get : 0.46 × 600 = y
=> 276 = y
Substituting this value in equation 1 we get : 318 = x + 276
=> x = 318 - 276
=> x = 42
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