Answer:
d. x = 27
Step-by-step explanation:
[tex]\frac{x}{9} = 3\\\\Multiplying \: both\: sides\: by\: 9\\9\times \frac{x}{9} = 3\times 9\\\huge\red{\boxed{\therefore x = 27}}[/tex]
What is the approximate distance from one corner of the soccer field to the opposite corner?
Answer:
116.62 yards
Step-by-step explanation:
information that we have about the soccer field:
length: [tex]l=100yards[/tex]
width: [tex]w=60yards[/tex]
the line that crosses from one corner to another is the hypotenuse of a right triangle that is formed with the sides [tex]l[/tex] and [tex]w[/tex].
So if we call this distance [tex]h[/tex], by the Pythagorean theorem we will obtain that:
[tex]h^2=l^2+w^2[/tex]
solving for [tex]h[/tex]:
[tex]h=\sqrt{l^2+w^2}[/tex]
substituting the known values:
[tex]h=\sqrt{100^2+60^2} \\h=\sqrt{10,000+3,600}\\ h=\sqrt{13,600}\\ h=116.62yards[/tex]
the approximate distance from one corner to the opposite corner found by the Pythagorean theorem is: 116.62 yards
Answer:
117
Step-by-step explanation:
a parabola in the coordinate plane passes through the points (-4,7) (3,0) (8,10). When the quadratic function associated with this parabola is expressed as f(x)=ax^2 + bx +c what is the value of c
0
3
3 9/13
8
Answer:
c = 0
Step-by-step explanation:
A 3-variable linear system of equations is constructed after replacing known values for x and y:
[tex]16\cdot a - 4 \cdot b + c = 7[/tex]
[tex]9\cdot a + 3\cdot b + c = 0[/tex]
[tex]64\cdot a + 8\cdot b + c = 10[/tex]
After making algebraic manipulation, the following solution is found:
[tex]a = \frac{1}{4}[/tex] and [tex]b = -\frac{3}{4}[/tex] and [tex]c = 0[/tex]
The value of c is 0.
an item is regularly priced at $27. kaitlin bought it on sale for 35% off the regular price. how much did kaitlin pay
Answer:
Kaitlin paid $17.55
Step-by-step explanation:
1.00 - 0.35 = 0.65
$27 (0.65) = $17.55
A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the
average desired retirement age, with a standard deviation of 3.4 years. A 96% confidence interval for desired retirement age of all college students is:
54.30 to 55.70
54.55 to 55.45
54.58 to 55.42
54 60 to 55.40
Answer:
96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].
Step-by-step explanation:
We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the average desired retirement age, with a standard deviation of 3.4 years.
Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample average desired retirement age = 55 years
[tex]\sigma[/tex] = sample standard deviation = 3.4 years
n = sample of seniors = 101
[tex]\mu[/tex] = true mean retirement age of all college students
Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.
So, 96% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.114 < [tex]t_1_0_0[/tex] < 2.114) = 0.96 {As the critical value of t at 100 degree
of freedom are -2.114 & 2.114 with P = 2%}
P(-2.114 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.114) = 0.96
P( [tex]-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96
P( [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96
96% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]55-2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] , [tex]55+2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] ]
= [54.30 , 55.70]
Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].
Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x-y=8 y=x-3
Answer:(5,2)
Step-by-step explanation:
What is the value of x? 12x+34=9
A.1612
B.1634
C.1612
D.412
Answer:
The answer is none of the above. x= -2.08
Step-by-step explanation:
Answer: you cant have a answer because it needs to be (-) or (/) not (+)
Step-by-step explanation:
Which graph represents data points that have no correlation?
Answer:
Scatterplots
Step-by-step explanation:
If there is no apparent relationship between the two variables, then there is no correlation. Scatterplots can be interpreted by looking at the direction of the line of best fit and how far the data points lie away from the line of best fit
Write the expression in exponential form.
log 3^9= 2
Answer: 3^2
Step-by-step explanation:
remember logb a=n <---> a=b^n
so therefor the answer is log3 9=2 ---> 9 = 3^2
Question 4
What do you observe about the distances between the three pairs of corresponding vertices for each movement? Based on your observations,
how would you define a translation? How can you extend what you know about the vertices of a shape to all the points on a shape during a
translation?
Answer:
The distances between the three pairs of corresponding vertices for each movement must be equal. That is, if you translate points A to A', B to B', et cetera, the distance between A and A', and B and B' are the same.
A translation is a rigid transformation that moves vertices of a figure a fixed distance.
In a general way, a translation moves all points on a shape a fixed distance.
Answer:
Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.
Sample answer for Edmentum and Plato Users
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Bernice found that the slope of a trend line is –3 and a point on the trend line is (8, 10). She wanted to find the equation of the trend line. Her work is shown below. 1. y = negative 3 x + b. 2. 8 = negative 3 (10) + b. 3. 8 = negative 30 + b. 4. 8 + 30 = negative 30 + 30 + b. 5. 38 = b. Examine Bernice’s steps.In which step did she make an error? In step 1,she used the wrong equation. In step 2,she switched the x and y coordinate values. In step 3,she needed to add -3 and 10 In step 4,she needed to -30 on both sides
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I took the assignment
Solve x/2 + y/3 = 1 for x .
A. y = -5x + 3
B. y = 5x + 3
C. y = -5x - 3
D. y = 5x - 3
Answer:
x= −2/3y+2
Step-by-step explanation:
Calculate the perimeter of the following figure.
Answer:
29 inches
Step-by-step explanation:
4 + 7 + 4 + 11 = 29 inches
Ms. Peterson wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expression using no more than one set of parentheses.
4(3x+5y+2z)+3(x−z)
• Tom wrote 12x+20y+8z
• Jenna wrote 5(3x+4y+z)
• Chris wrote 15x+20y−5z
Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?
Answer _______ wrote an equivalent expression.
Show your work to prove which expressions, if any, are equivalent.
ZE and ZF are vertical angles with mZE=81 +8 and mZF=2.0 + 38.
What is the value of x?
Enter your answer in the box.
X=
need help plzz helpp will give brainliest!!!
Answer:
12%
Step-by-step explanation:
1,020/8,500= ?/100
correct me if i am wrong
Answer:
Hello There the Correct answer is D. 12%
All you really need to do is Divide 1,020 8,500 and you will get 12. So the answer is D.
Solve the following system of equations.
2x + 5y = 19
x - 2y = - 4
Answer:
Step-by-step explanation:
｡☆✼★ ━━━━━━━━━━━━━━ ☾
2x + 5y = 19
x - 2y = -4
Multiply the second equation by 2
2x - 4y = -8
Now we have:
2x + 5y = 19
2x - 4y = -8
Subtract the second eq from the first to get:
9y = 27
/ 9
y = 3
Now substitute this value into one of the first equations
x - 2(3) = -4
x - 6 = -4
x = 2
Thus, your answer would be option B
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
What are the zeros of A(x) = x(x-7)?
O A. x = 0 only
O B. X = 7 only
O c. x = 0 and x = -7
O D. x = 0 and x = 7
Answer:
x=0 x=7
Step-by-step explanation:
A(x) = x(x-7)
Set equal to zero
x(x-7) =0
Using the zero product property
x=0 x-7 =0
x=0 x=7
whats the surface area?
Answer:
95cm
Step-by-step explanation:
3.5 x 4 = 14
14/2 = 7
5 x 4= 20
5 x 4= 20
Add up all the answers to find the surface area
you get 95cm
What is the range of possible sizes for side x?
I need to find the equation of the line
Answer:
y= -3x + 7
That is the answer.
Which statement belongs in Step 4?
Answer:
Step-by-step explanation:
TQ = QR
Ray t bisects TR. TR is divided into two equal parts
(3x+4)–(2x+9)=15
Help meeeeeeeeeeeee.
Answer:
x=30
Step-by-step explanation:
you distribute the negative to 2x and 19
3x+4-2x-19=15
then you combine like terms
x-15=15
you add 15 to both sides
x=30
Answer:
x = 20
Step-by-step explanation:
We are given the equation ( 3x + 4 ) – ( 2x + 9 ) = 15;
( 3x + 4 ) - ( 2x + 9 ) = 15 ⇒ Take ( ) out, through distribution of - 1,
3x + 4 - 2x - 9 = 15 ⇒ Subtract 4 from either side,
3x - 2x - 9 = 11 ⇒ Combine like terms,
x - 9 = 11 ⇒ Add 9 on either side,
Solution; x = 20
what is the radius of a circle thats 16 units?
Answer:
2.54648ft.
Step-by-step explanation:
r=8/[tex]\pi[/tex](ft.) therefore, the radius of the circle when its circumference is 16 feet is r≈2.54648ft.
Answer:
r =8
Step-by-step explanation:
Therefore, C = π d .
We know that the circumference, C , is 16 π , so we can say that:
16 π = π d
We can divide both sides by π to see that 16 = d .
We now know that the diameter of the circle is 16 .
We also know that the diameter has twice the length of the radius.
In equation form: 2 r = d
2 r = 16
r = 8
PLEASE HELP ASAP 5TH GRADE
Answer:
C
Step-by-step explanation:
10*(1/7)=10/7. A and B are false.
A product comes from multiplying. D is false.
Please mark as Brainiest! :)
Have a nice day.
easy question!!
how can i do this! need step by step explanation.
help!! will give the brainliest
Answer: 1+log3(10)
Step-by-step explanation:
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]\log _3\left(27\right)+\log _2\left(8\right)\\\log _3\left(27\right)=3\\\log _3\left(27\right)\\\mathrm{Rewrite\:}27\mathrm{\:in\:power-base\:form:}\quad 27=3^3\\=\log _3\left(3^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^3\right)=3\log _3\left(3\right)\\=3\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3\\=3[/tex]
[tex]\log _2\left(8\right)=3\\\log _2\left(8\right)\\\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3\\=\log _2\left(2^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^3\right)=3\log _2\left(2\right)\\=3\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=\\=3\\=3+3\\Simplify\\=6[/tex]
Harry and Taylor are running a concession stand for a concert. Hot dogs at the concession stand cost $1.25 each and sodas cost $0.75 each. During one concert, the concession stand earns $352.50 after selling 380 total hot dogs and sodas. The following system of equations can be used to represent the sales at the concession stand where h represents the number of hot dogs sold and s represents the number of sodas sold. 1.25h + 0.75s = 352.50 h + s = 380 Which of the following correctly describes the solution to the system of equations? Group of answer choices
a-135 hot dogs and 245 sodas were sold.
b- 45 hot dogs and 335 sodas were sold.
c- 33 hot dogs and 347 sodas were sold.
d- 125 hot dogs and 255 sodas were sold.
Answer:
a-135 hot dogs and 245 sodas were sold.
Step-by-step explanation:
Our equations are:
1.25h + 0.75s = 352.50
h + s = 380
Let's use substitution to solve for this system. In the second equation, let's write h in terms of s:
h + s = 380
h = 380 - s
Now, let's plug in 380 - s for h in the first equation:
1.25h + 0.75s = 352.50
1.25(380 - s) + 0.75s = 352.50
We can now solve for s fairly easily:
1.25(380 - s) + 0.75s = 352.50
475 - 1.25s + 0.75s = 352.50
0.5s = 122.5
s = 245 sodas
We can already see which answer choice will match: A, and that is our answer.
Answer:
a-135 hot dogs and 245 sodas were sold.
Step-by-step explanation:
1.25h + 0.75s = 352.50
h + s = 380
h = 380 - s
1.25(380- s) + 0.75s= 352.50
475 - 1.25s + 0.75s = 352.50
122.5 = 0.5s
s = 245
h = 380 - 245
h = 135
What is the method given in this article for adding several polynomials?
Answer:
No options given. But there are two methods of adding polynomials; The horizontal method, and the vertical method.
Step-by-step explanation:
The options are not stated here. However, there are two methods of adding polynomials; The horizontal method, and the vertical method.
Example: Suppose we want to add the polynomials (3x³ + 5x² + 56) + (16x² + 3x) + (4x³ + 4)
Horizontal method
(3x³ + 5x² + 56) + (16x² + 3x) + (4x³ + 4)
First collect the like terms
3x³ + 4x³ + 5x² + 16x² + 3x + 56 + 4
= 7x³ + 21x² + 3x + 60
Vertical method
3x³ + 5x² +...........56
+ ......16x² + 3x
4x³ +...................... 4
...................................................
7x³ + 21x² + 3x + 60
These two methods both yield the same results.
Evaluate
12^-8 over 12^-9=
Answer:
12
Step-by-step explanation:
We know that a^b / a^c = a^ (b-c)
12 ^ -8 / 12 ^ -9
12 ^ (-8 - -9)
12 ^ (-8+9)
12 ^ 1
12
Answer:
The Answer is 12. (Someone deleted my answer because I didn't show any work.)
Step-by-step explanation:
1. 12^-8/12^-9 --> 12^-8-(-9)
2. 12^-8+9
3. 12^1= 12
4. Therefore the answer is 12.
If the radius of a circle is 16 units, what is its area? (Use pie for it)
Answer:
[tex]804.25unit^2[/tex]
Step-by-step explanation:
[tex]A=\pi r^2\\=\pi 16^2\\=804.25unit^2[/tex]
So the right answer is 804.57 units^2.
Look at the attached picture
Hope it will help you
Good luck on your assignment
An expression that is equivalent to 12-16x
Answer: an expression equivalent would be 4(3-4x)
Answer:
4(3-4x)
I hope I helped you! Please mark me brainiest if I am correct. Thanks!