Evaluate the expression 1^4 + 3(10 - 2)^2. Show your work.
Answer:
193
Step-by-step explanation:
x = [?]
3x + 18 4x + 15
Hint: When angles form a linear pair, their sum is 180.
3x + 18 + 4x + 15 = 180
The solution for the value of x by definition of linear pair angle is 21.
Used the concept of linear pair angle that states,
The sum of a linear pair angle in a straight line would be 180 degrees.
Given that the two linear pair angles are,
(3x + 18) and (4x + 15)
Now, the sum of linear pair angles would be 180 degrees.
Hence, it can be written as,
(3x + 18) + (4x + 15) = 180°
Solve for x,
3x + 4x + 18 + 15 = 180°
7x + 33 = 180
Subtract 33 on both sides,
7x = 180 - 33
7x = 147
Divide 7 on both sides,
x = 147/7
Therefore, the value of x is,
x = 21
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Write a rule describing the translation below
Answer:
d=e
Step-by-step explanation:
Given the parent function f(x)=x^3 give the best description of the graph of y = -(2x)^3
Answer:
Reflect and compress
Step-by-step explanation:
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than three times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. The following system of equations models this scenario: 4x = 8 + 3y x − 2y = −3 What was the temperature of City A and City B on that day?
Answer:
a
Step-by-step explanation:
i just took the test.
The temperature of City A is 5° C and temperature of City B is 4° C.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
4x = 8 + 3y.....................(1)
x − 2y = −3.......................(2)
Solving Equation (1) and (2), we get
4x = 8 + 3y
4( -3 + 2y) = 8 + 3y
-12 + 8y = 8 +3y
8y - 3y = 8 + 12
5y = 20
y= 4
and, x = -3 + 2y = -3 +2(4) = -3 + 8 = 5
Hence, the temperature of City A is 5° C and temperature of City B is 4° C.
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2x-9y=8 -5x+8y=20 find x and y
9514 1404 393
Answer:
(x, y) = (-244/29, -80/29)
Step-by-step explanation:
A graph (2nd attachment) shows the solution to be non-integer values, so we'll use the "cross multiply method" to find the solution.
Rewriting the equations to general form gives ....
2x -9y -8 = 0
5x -8y +20 = 0
Writing the coefficients in two rows of four, we have the table as in the first attachment. (The first column is repeated as the 4th column.)
Now, the cross product differences are formed. Each "orange" cross product difference is the difference of the product of "blue" coefficients and the product of "yellow" coefficients. The same formula is copied to the right.
These difference numbers go, left to right, into the form ...
1/p1 = x/p2 = y/p3 . . . . . . where p1, p2, p3 are the cross product differences
In this problem, the solution is ...
x = -244/29 ≈ -8.414
y = -80/29 ≈ -2.759
Allison's cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and would like to have at most 5 more
cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and
cookies (b) that she should buy? (a > 0,b> )
Answer:a+b ≥40
5+a≤ b
2.50a+1.50b≤ 105
i believe
Step-by-step explanation:
The equations would be:
a+b ≥40 (cupcakes +cookies must be at least 40 total)
5+a≤ b
(At most 5 more cupcakes then cookies)
2.50a+1.50b≤ 105
(The cost of cookies and cupcakes must be less than $105)
The segments shown below could form a triangle.
Answer: True
Step-by-step explanation:
PLEASE HELP! (STATS) A box contains 10 batteries of which 6 are still working. Jada starts picking batteries one at a time without replacement from the box and testing them to see if they work. Find the probability that all of the first 3 she chooses will work?
Group of answer choices
0.120
0.167
0.600
0.216
0.037
Answer: 0.167
Step-by-step explanation:
Given: Total batteries = 10
Batteries that are still working = 6
Number of ways to pick 3 working batteries = [tex]^6C_3=\dfrac{6!}{3!3!}[/tex]
[tex]=\dfrac{6\times5\times4\times3!}{6\times3!}\\\\=20[/tex]
Number of ways of pick 3 batteries out of 10 =
[tex]^{10}C_3=\dfrac{10!}{3!7!}=\dfrac{10\times9\times8\times7!}{6\times7!}\\\\=120[/tex]
Required probability = [tex]\dfrac{20}{120}=0.167[/tex]
Hence, the probability that all of the first 3 she chooses will work = 0.167
½(4x - 8) = 6x + 10 solve for x and show work.
Answer:
x = -7/2
Step-by-step explanation:
½(4x - 8) = 6x + 10
simplify
2x - 4 = 6x + 10
subtract 6x from both sides
-4x - 4 = 10
add 4 to both sides
-4x = 14
divide both sides with -4
x = -14/4
simplify
x = -7/2
Answer:
½(4x - 8) = 6x + 10
4x-8=12x+20
-20-8=12x-4x
-28=8x
x=-28/8=3.5
f (x)=2x-1 Find f (-2)
Answer:
-5
Step-by-step explanation:
f(x) =2x-1
f(-2)=2(-2)-1
2×(-2) = -4 -1= -5
f(-2)= -5
PLEASE PLEASE HELP I WILL GIVE BRAINALIST
what points do i graph and what is the slope?
Answer:
(2/3)
Step-by-step explanation:
Answer:
I am pretty shore it is -1 and 1.
I think
Step-by-step explanation:
How do you write 1 as a percentage? 5
REWARDING 95 POINTS Which statement is true? Select all that apply.
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x
Answer:
Answer D
Step-by-step explanation:
30 pointssssss!!!! HELPP
The functionf(x)=3x+4 is a linear function. Let g(x) represent f(x) after a horizontal translation 2 units to the left.
What is the equation for the function g(x)?
Answer:
A horizontal translation to the left for the function would be as follows:
g(x) = (3x+2) +4
Step-by-step explanation:
Christopher and Emma want to learn more about what creates the weather where they live in Florida. What should they study to find out what affects their local weather the most?
Answer:
The weather studies fall under atmospheric science.The Christopher and Emma should learn about the local weather and then identify affects on the locality.
Step-by-step explanation:
The weather studies are dynamic. Sometimes weather follows trend but in some cases weather does not follows trend and there is heavy rainfall or snowfall than expected. The forecast of weather is very difficult to be accurate. However near guess can be made about the weather conditions by observing the trends of previous years.
A television screen measures 18" tali by 24" wide. All televisions are advertised by giving the approximate length of the diagonal of the screen. (For example: A 48" television means that the diagonal of the television measures 48".) How should the television in this example be advertised?
Answer:
30
Step-by-step explanation:
Given that:
Dimension of TV = 18 by 24
Length of its diagonal :
Using Pythagoras :
Hypotenus = √(opposite² + adjacent²)
Hypotenus = Length of diagonal
Length of diagonal = √(18^2) + (24^2)
Length of diagonal = √900
Length of diagonal = 30
What is the product? HELP PLEASE
Which process will create a figure that is NOT congruent to the figure shown?
N0P IV G0T TA GO kkk kk k k k k k k k k k k k k k k kk kk k kk kk k k k k k k k k k k kk k kk k k k k kk
Answer:
b
Step-by-step explanation:
I got it right on IM
The equation x^2 + x = 42 is NOT written in standard
form. What would you need to do to get it into Standard
Form? What is the equation in Standard Form?
Answer:
x^2+x-42=0 (standard form)
Step-by-step explanation:
The Big Ben clocktower in London is approximately 316 feet tall. Shana is standing nearby and notices that she casts a 4-foot shadow. If Shana is 5 feet tall, find the length of Big Ben's shadow?
Answer:
The length of Big Ben shadow is 252.8 feet
Step-by-step explanation:
The given parameters are;
The height of the Big Ben clocktower in London ≈ 316 feet tall
The length of the shadow Shana casts = 4-foot
The height of Shania = 5 feet
Therefore, we have, by similar triangles;
[tex]\dfrac{The \ length \ of \ the \ shadow \ Shana \ casts }{The \ height \ of \ Shania} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{The \ height \ of \ the \ Big \ Ben \ clocktower}[/tex]Substituting the values, gives;
[tex]\dfrac{4 \ feet}{5 \ feet} = \dfrac{The \ length \ of \ the \ shadow \ The \ Big \ Ben \ casts}{316 \ feet}[/tex]
[tex]The \, length \, of \, the \, shadow \, The \, Big \, Ben \ clocktower \ casts = 316 \ feet \times \dfrac{4 \ feet}{5 \ feet} = 252.8 \ feet[/tex]
The length of the shadow The Big Ben clocktower casts = The length of Big Ben shadow = 252.8 feet
Answer:
252.8 feet
Step-by-step explanation:
Select two correct comparisons.
0.057 < 0.008
0.057<0.570
0.57 >1.001
0.057 < 0.049
HELP PLEASE!!!!!!!!
14 points!
Answer: Hello user! I believe this was the question you were asking: Select the two correct comparisons. 0.057 < 0.008(A) 0.057 < 0.57(B) 0.57 = 0.570(C) 0.57 > 1.001(D) 0.057 < 0.049(E) In this case B and C are the two correct options.
Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.
The sum of three consecutive integers is 72
For today I need the equation please
Answer:
The sum of three consecutive integers is 72
Step-by-step explanation:
In a survey of students who have either a dog or a cat
as a pet, the ratio of dog owners to cat owners is 6 to 7.
If there are 56 students who are cat owners, how many
students are dog owners?
Answer:
48
Step-by-step explanation:
7 times 8 is 56 so in order to get the ratio of dog owners, you need to multiply 6 by 8 as well.
24tenthousands eqaul?
Answer:
240000
Step-by-step explanation:
Answer:
240,000
Step-by-step explanation:
Pretend it is only 4 ten thousands. It would be 40,000. Since it is 24, there are 2.4 times more digits, so it would be 240,000 since it is at least 10 times more than a thousand which would be the 40,000 .
In case anyone needs 24 ten thousandths in the future:
0.0024
0.00024 is equal to 24 hundred-thousandths and there are tenths (0.1), hundredths (0.01), and thousandths (0.001). Then ten thousandths would just be a step lower (0.0001) but since there are 24, it would go into the thousandths place but have the four in the ten thousandths. So it would be 0.0024.
Siena draws a map of her flower garden. She wants to plant roses 6 feet away from the marigolds and 5 feet away from the lavender. Where should Siena plant the roses?
(-3 , 2)
(3 , -2)
(-2 , 3)
(2 , -3)
Its one of these but idk witch one sry bout that
Solve: ¼ y + 10 = 25
I will mark you brainiest if u answer this.
Answer:
y= 60Step-by-step explanation:
Let's solve your equation step-by-step.
1/4 y+10=25
Step 1: Subtract 10 from both sides.
1/4 y+10−10=25−10
1/4 y=15
Step 2: Multiply both sides by 4.
4*(1/4y)=(4)*(15)
y= 60
Answer: y = 3.75
Step-by-step explanation: 1/4y + 10 = 25 (given)
-10 -10 (subtraction postulate)
1/4 y = 25 (simplify)
*1/4 *1/4 (multiplication postulate)
Y = 3.75 (simplify)
help me, lol.
Well appreciated!
Answer:
x=-35
Step-by-step explanation:
can you mark me as brainliest pls
Ms. Reynold's sprinkler system has 3 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 18 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?
It will take ___
minutes for Ms. Reynold to water her lawn.
Answer:
I think that it would take her 27 minutes
how do we do this pls help with an explanation:))
Answer:
x = 1.2
Step-by-step explanation:
[tex]\frac{10x-3}{3}[/tex] + [tex]\frac{5x+2}{4}[/tex] = 5
You would want to make the denominators of both fractions the same first. Their lowest common multiple is 12, so we shall make the denominators 12 by multiplying the first fraction by 4 and the second fraction by 3.
[tex]\frac{4(10x-3)}{12}[/tex] + [tex]\frac{3(5x+2)}{12}[/tex] = 5
Simplify.
[tex]\frac{40x-12}{12}[/tex] + [tex]\frac{15x+6}{12}[/tex] = 5
Now we can combine both fractions together since their denominator is the same.
[tex]\frac{40x-12+15x+6}{12}[/tex] = 5
Simplify.
[tex]\frac{55x-6}{12}[/tex] = 5
Isolate 55x-6.
55x-6 = 5 × 12
Simplify.
55x-6 = 60
Isolate the 55x.
55x = 60+6
Simplify.
55x = 66
Find x.
x = [tex]\frac{66}{55}[/tex]
Simplify.
x = 1.2