Answer:
60
Step-by-step explanation:
To find the area of a triangle, multiply the base and height, then divide by two
The center triangle's area is (5*6)/2, which is also 15.
Since all the triangles are congruent, multiply 15 by 4 to get the total surface area, which is 60
Find the value of x.
Answer:
X=23
Step-by-step explanation:
If you deposit $2000 into an account paying 6% annual interest, how much money will be in the account, after 5 years if it is compounded daily
Answer:
$2,699.72
Step-by-step explanation:
Given that
The deposited amount is $2,000
The annual rate of interest is 6%
And, the time period is 5 years
We need to find out the amount that would be in the account in the case when it is compounded daily
So,
The following formula should be used
= Deposited amount × e^(rate, time period)
= $2,000 × e^(0.06,5)
= $2,000 × e^0.3
= $2,699.72
2x^2+7x-4=0 by factor ing
Answer:
[tex]x=0.5, \\\\x=-4[/tex]
Step-by-step explanation:
Factoring is the process by which one rewrites an equation or number out as the product of many numbers or expressions. In the given situation, one is asked to factor the following equation,
[tex]2x^2 +7x - 4=0[/tex]
In factored form,
[tex](2x-1)(x+4)=0[/tex]
Use the zero product property, this states that any number times zero equals zero. Therefore, set each factor equal to zero and solve for the parameter (x),
[tex]2x-1=0[/tex]
Inverse operations,
[tex]2x=1\\x=0.5[/tex]
[tex]x+4=0[/tex]
Inverse operations,
[tex]x=-4[/tex]
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]x =\frac{1}{2},-4[/tex]
[tex]\huge\boxed{Explanation\hookleftarrow}[/tex]
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The candy shop made 3/18 pounds of chocolate they sold 1 pounds how many pounds of chocolate do they have left
The question is incomplete. Please see the complete question below
The candy shop made 3 1/18 pounds of chocolate they sold 1 1/4pounds how many pounds of chocolate do they have left
Answer:
15/8
Step-by-step explanation:
The shop made 3 1/8 pound of chocolate
They sold 1 1/4 of chocolates
Hence the number of chocolates left can be calculated as follows
3 1/8-1 1/4
= 25/8-5/4
= 15/8
Explanation: Zero Exponent
So far we have looked at powers of 10 with exponents greater than 0.
What would happen to our patterns if we included 0 as a possible exponent?
1. Write 10^12 × 10^0 with a power of 10 with a single exponent using the appropriate exponent rule. Explain or show your reasoning.
A. What number could you multiply 10^12 by to get this same answer?
Answer:
1) We can use the following property to simplify the product of powers as follows:
[tex]a^{m}\cdot a^{n} = a^{m + n}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{Z}[/tex] (1)
Therefore, we have the following result:
[tex]10^{12}\cdot 10^{0} = 10^{12+0} = 10^{12}[/tex]
A) [tex]10^{12}[/tex] must be multiplied either by [tex]10^{0}[/tex] or by [tex]1[/tex] to get the same answer.
Step-by-step explanation:
1) We can use the following property to simplify the product of powers as follows:
[tex]a^{m}\cdot a^{n} = a^{m + n}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{Z}[/tex] (1)
Therefore, we have the following result:
[tex]10^{12}\cdot 10^{0} = 10^{12+0} = 10^{12}[/tex]
A) In addition, we can use this property:
[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{Z}[/tex]
We can apply the property mentioned above:
[tex]10^{12}\cdot 10^{0} = 10^{12}\cdot (10^{n-n}) = 10^{12}\cdot \left(\frac{10^{n}}{10^{n}} \right) = 10^{12} \cdot 1 = 10^{12}[/tex]
In consequence, we conclude that [tex]10^{0} = 1[/tex]. [tex]10^{12}[/tex] must be multiplied either by [tex]10^{0}[/tex] or by [tex]1[/tex] to get the same answer.
Does anyone know how to solve this??
Answer:
a) (f + g)(x) = x² - 2x + 3x - 4 = x² + x - 4
domain: x E R
b) (f - h)(x) = x² - 2x - ( - 2x + 1) = x² - 1
domain: x E R
c) (f.g)(x) = (x² - 2x)(3x - 4) = 3x³ - 10x² + 8x
domain: x E R
d)
[tex]( \frac{h}{f} )(x) = \frac{ - 2x + 1}{x {}^{2} - 2x} [/tex]
domain: x E R\{0; 2}
Answer to this??????
Answer:
its 40 milmeters
Step-by-step explanation:
Make
x
the subject of the formula
5
x
=
t
Answer:
5x=t
x=t/5
This should be your answer
please answer accurately and not a short answer if you don't know then don't answer thank u, and if u want to spam my answer then I will report u thank u.
Answer:
420cm^3 (cubed) = volume when tripled
Step-by-step explanation:
1. when you multiply 7*4*5=140 (volume of the prism originally)
2. 140*3=420 (final answer)
Answer:
A. 140 cm
B. 3780 cm
Step-by-step explanation:
The volume formula for a rectangular prism is lwh, and 7 times 4 times 5 equals 140.
If you triple all those amounts, then you get 21 (7 times 3), 12 (4 times 3), and 15 (5 times 3), and when you multiply those you get 3780.
I hope this helps :)
Khan uses 78 feet of fence to make a rectangular pen for his pet rabbit. The length of the pen is 25 feet what is the width of the rectangular pen
The width of the rectangular pen is equal to 14 feet.
Given the following data:
Perimeter of rectangle = 78 feet.Length = 25 feet.To calculate the width of the rectangular pen:
Formula for the perimeter of a rectangle.Mathematically, the perimeter of a rectangle is given by the formula;
[tex]P=2(L+W)[/tex]
Where:
P is the perimeter of a rectangle.L is the length of a rectangle.W is the width of a rectangle.Substituting the parameters into the formula, we have;
[tex]78=2(25+W)\\\\78=50+2W\\\\2W=78-50\\\\2W=28\\\\W=\frac{28}{2}[/tex]
Width, W = 14 feet.
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What is the expanded form of the number below?
700 +90 +0.1 +0.04
1)
700 + 9 + 0.1 + 0.04
709.104
70 + 9 + 0.1 +0.004
700 + 9 + 0.1 + 0.004
PLEASE HURRY!!
Caroline earns $12.00
per hour at her job. Which answer choice is an equation that correctly represents
the total amount of money, m, that Caroline earns after working for a certain number of hours, h?
DUE SOON PLS HELP!!! What is the measure of angle x
Answer:
it is a ritual
Step-by-step explanation:
Answer:
66 degrees
Step-by-step explanation:
Help please !!!!!!!!!!!
CSC B = 25/7 and the sec B =25/24 find tan B??
Answer:
tan β = [tex]\frac{7}{24}[/tex]
Step-by-step explanation:
Using the identities
sin x = [tex]\frac{1}{cscx}[/tex] , cos x = [tex]\frac{1}{secx}[/tex] , tan x = [tex]\frac{sinx}{cosx}[/tex] , then
sinβ = [tex]\frac{1}{\frac{25}{7} }[/tex] = [tex]\frac{7}{25}[/tex]
cos β = [tex]\frac{1}{\frac{25}{24} }[/tex] = [tex]\frac{24}{25}[/tex]
Then
tan β = [tex]\frac{\frac{7}{25} }{\frac{24}{25} }[/tex] = [tex]\frac{7}{25}[/tex] × [tex]\frac{25}{24}[/tex] = [tex]\frac{7}{24}[/tex]
Answer:
tanβ = 7/24
Step-by-step explanation:
Given:
cscβ = 25/7
secβ = 25/24
tanβ = ?
Recall:
cscβ = 1/sinβ
secβ = 1/cosβ
tanβ = sinβ/cosβ
Rewrite and simplify:
tanβ = sinβ/cosβ
tanβ = (1/cscβ)/(1/secβ)
tanβ = (1/(25/7))/(1/(25/24))
tanβ = (7/25)/(24/25)
tanβ = (7/25)(25/24)
tanβ = (7*25)/(25*24)
tanβ = 175/600
tanβ = 35/120
tanβ = 7/24
The five new teachers at a school were surveyed. Is this sample of teachers at the school likely to be biased?
Answer:
yes because since they are new they are all going to have a different opinion on the school than other teachers thats been there for years
hope this helps
have a good day :)
Step-by-step explanation:
Yes, it would likely be biased because they might be like an advertisement since they weren't teaching for years at this school.
If this helps, please mark me brainliest!
Have an amazing day!
helpppppppppppppppppppppp plsssssssssssssssss
m∠b= 25°
Answer:
Step-by-step explanation:
The total of all angles in the triangle is 180
You already know 2 values for the triangle, Angle A 25 as well as Angle C 90
Your formula is
180 - 90 -25
Which of the ratios is equivalent to cos B?
Answer:
Cos <B = 3/5
Step-by-step explanation:
Find the diagram attached
From the diagram, we have;
Hypotenuse BC = 80
Opposite to <B = AC =64
Adjacent AB = 48
According to SOH CAH TOA identity
Cos theta = adjacent/hypotenuse
Cos<B = AB/BC
Cos <B = 48/80
Express in its simplest form
Cos <B = (16*3)/(16*5)
Cos <B = 3/5
Hence the ratio of cos<B in its simplest form is 3/5
PLEASE HELP !!!
Mai correctly used the Fermi process and the following estimates to determine how many packs of gum would fit inside the gymnasium she plays basketball in.
Mai correctly used the Fermi process and the following estimates to determine how many packs of gum would fit inside the gymnasium she plays basketball in.
a. [tex]\frac{4x10^5}{4x10^-^4}[/tex] = 1 x 10^9
b. [tex]\frac{4x10^5}{4x10^-^4}[/tex] = 1 x 10^1
c. [tex]\frac{4x10^6}{4x10^-^4}[/tex] = 1 x 10^10
d. [tex]\frac{4x10^6}{4x10^-^4}[/tex] = 1 x 10^2
Answer:
Hello! Hope you having a great morning! Your answer is, B)
Hope this helped! Brainiest plz! Hope you make a 100% and have a nice day!
Answer:
the answer is A
Step-by-step explanation:
i just took the quiz
p less than 6 times b
Step-by-step explanation:
p< 6b is for p less than 6 times b.
Answer:
6b > p
Step-by-step explanation:
The question is not clear, just in case you are asking the equation.
Jake scored 28 points in his basketball game by shooting only two-point and three-point shots. He scored a total of 13 baskets.
Write a system of equations to represent the number of each type of basket Jake scored.
The system of equations that represents the number of each type of basket Jake scored is given by:
x + y = 13
2x + 3y = 28
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Number of two-point shots.Variable y: Number of three-point shots.Jake scored 28 points in his basketball game by shooting only two-point and three-point shots, hence:
2x + 3y = 28.
He scored a total of 13 baskets, hence:
x + y = 13.
More can be learned about a system of equations at https://brainly.com/question/24342899
……………..
please help.
Answer:
Hello! answer: x = 1
Step-by-step explanation:
This triangle will add up to 180 degrees 85 + 64 = 149 180 - 149 = 31 4 × 1 = 4 4 + 27 = 31 therefore x = 1 Hope that helps!
What is the probability that the arrow will land on 1 or 2?
A. 2/5
B. 2/3
C. 3/4
D. 1/5
The probability that the arrow will land on 1 or 2 is 2/5.
What is Probability ?Probability is the ratio of occurring a certain event out of the total possible events.
If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.
From the given data
Total no. of regions in the circle is 5
The probability that the arrow will land on 1 or 2 is
P(1) = 1/5
P(2) = 1/5
∴ P(1) or P(2) is
= 1/5 + 1/5
= 2/5
Here we have used addition because of OR statement.
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Someone please help!
Answer:
f(3)= 12
Step-by-step explanation:
if f(1)= 4 then f(3)= 12
Answers are 36,54,198,72
Answer:
72°
Step-by-step explanation:
∠ AOB = 20% of 360° = 0.2 × 360° = 72°
arc AB is equal to the angle subtended at the centre , that is
arc AB = 72°
Warren has $10,000 to invest. He finds a bank that will give him a 9% interest rate. After investing, he leaves it untouched for 8 years.
How much is in the account if it is compounded monthly? $
How much is in the account if it is compounded continuously? $
*NOTE: Round to the nearest penny (hundredths place).
Answer:
The final balance is £20,489.21.
The total compound interest is £10,489.21
Step-by-step explanation:
pretty sure you know the answer after you round this
A. x € R
B. x > 0
C. y > 0
D. y € R
I need the answers right away!!
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
The answer would be B because the y intercept is how much he changes per hour
Answer:
Your answer should be C
Step-by-step explanation:
Letter A was tempting, but 120 for 1 hour. Then 180 for 2.5 means that is had a y intercept. So it couldn't be A. The other ones were easy to rule out because they only told a fraction of what was shown.
what is the perimeter of a rectangle with sides of 4 inches by 8 inches?
hi ^^
---------------------------------------
here's your answer: P=24in
---------------------------------------
bye <3
What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Superscript negative 12 Baseline q Superscript negative 3 Baseline EndFraction in simplified form? Assume p not-equals 0, q not-equals 0.
Answer:
[tex]-\frac{3p^8}{4q^3}[/tex]
Step-by-step explanation:
[tex]\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}[/tex] can be broken down into three fractions, coefficients, powers of p, powers of q.
[tex]-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}[/tex]
Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.
[tex]-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}[/tex]
The graph shows the marginal cost of producing soccer cleats for Sabrina’s Soccer.
At which level of production does the company make the least profit?
A. the first pair of cleats
B. the second pair of cleats
C. the third pair of cleats
D. the fourth pair of cleats
Answer:
A
Step-by-step explanation:
The third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.
What is a graph?"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".
For the given situation,
The graph is plotted between the production of pair of cleats to the marginal cost.
The first pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$7[/tex].
The second pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$1[/tex].
The third pair of cleats shows the marginal cost is [tex]\$1[/tex].
The fourth pair of cleats shows the marginal cost is from [tex]\$4[/tex] to [tex]\$6[/tex].
Hence from the given data, the third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.
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