We just need to divide so we can find the base length of the triangle:
207 / 18 = 11.5
Therefore, the base length of the triangle is 11.5 inches.
Best of Luck!
Answer:
23 inches
Step-by-step explanation:
A = [tex]\frac{1}{2}[/tex] bh
207 = [tex]\frac{1}{2}[/tex] b x 18
[tex]\frac{207}{9}[/tex] = b
b = 23
HELP ME SOMEONE PLSSS WHAT IS THE ANSWER
Answer: 3 2
Wrong 1 5 6 4
Step-by-step explanation:
A 2 level 5 factor experiment is being conducted to optimize the reliability of an electronic control module. In a full factorial experiment, how many treatment combinations will there be
Answer:
32
Step-by-step explanation:
In a full factorial experiment, there are usually 32 or 2⁵ treatments. This implies that there are usually 2 levels and 5 factors. From the description below, there is a list of the 32 treatments.
Factor A Factor B Factor C Factor B Factor E
lo hi hi hi hi
hi low hi hi hi
hi hi low hi hi
hi hi hi low hi
hi hi hi hi low
lo lo hi hi hi
lo hi lo hi hi
lo hi hi lo hi
How do you do this question?
Answer:
9.29
Step-by-step explanation:
S₄ is the area using Simpson's rule and 4 intervals.
Simpson's rule can be calculated as:
Sᵢ = Δx/3 (f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 4f(xᵢ₋₂) + 2f(xᵢ₋₁) + f(xᵢ))
Or, Simpson's rule can be calculated as a combination of midpoint and trapezoid sums:
S₂ᵢ = (2Mᵢ + Tᵢ) / 3
Using the first method:
Δx = (4−0)/4 = 1
S₄ = 1/3 (1.00 + 4(1.41) + 2(2.24) + 4(3.16) + 4.12)
S₄ = 1/3 (27.88)
S₄ ≈ 9.29
Using the second method:
S₄ = (2M₂ + T₂) / 3
The midpoint area for 2 intervals is:
M₂ = (2) (1.41) + (2) (3.16) = 9.14
The trapezoid area for 2 intervals is:
T₂ = ½ (1.00 + 2.24) (2) + ½ (2.24 + 4.12) (2) = 9.60
Therefore:
S₄ = (2 (9.14) + 9.60) / 3
S₄ ≈ 9.29
Alkena and Hsu together earn $84,369 per year, If alkena earns $12,468 more per year than Hsu, the how much of them earn per year?
Answer:
Hsu makes $35,950.50 and Alkena makes $48,418.50
Step-by-step explanation:
Create a system of equations, where h is the amount Hsu makes and a is the amount Alkena makes:
a + h = 84,369
a = h + 12,468
Solve by substitution by plugging in h + 12,468 as a:
h + 12,468 + h = 84,369
2h + 12,468 = 84,369
2h = 71,901
h = 35,950.50
Plug this into the equation, a = h + 12,468 , to solve for a
a = 35,950.50 + 12,468
a = 48,418.50
So, Hsu makes $35,950.50 and Alkena makes $48,418.50
A company increased the number of its employees from 320 to 400. What was the percent increase in employees?
Answer:
25% increase.
Step-by-step explanation:
Please help I don’t understand
Answer:
2·8·78+2+712·5·33+5+12Step-by-step explanation:
The properties of addition and multiplication allow you to rearrange and/or regroup the components of a sum or a product. That is the point of this exercise.
(2·8)·7 = 2·(8·7) . . . . parentheses have moved: associative property
2 + 7 + 8 = 8 + 2 + 7 . . . . order is rearranged: commutative property
5·3·12 = 12·5·3 . . . . . order is rearranged: commutative property
(3 +5) +12 = 3 +(5 +12) . . . . parentheses have moved: associative property
_____
Additional comment
Whenever you're in doubt about the equivalence of numerical expressions, you can use your calculator to evaluate them. They will give the same result if they are equivalent. (You need a good scientific or graphing calculator that uses parentheses for this. Some seriously good calculators are available as low-cost phone apps.)
The Google search box also serves as input to the Google calculator. You can use an asterisk (*) for multiplication.
14. 2^2+ + 5x = 5x + 50
Answer:
x = -5 ∨ x = 5Step-by-step explanation:
[tex]\bold{2x^2 + 5x= 5x +50}\\\\{}\ \ -5x\qquad -5x\\\\\bold{2x^2\ =\ 50}\\\\\div2\quad\ \ \div2\\\\\bold{x^2=25}\\\\\bold{x=5\quad\vee\quad x=-5}[/tex]
Find k if 3k, k-2, and k + 7 are consecutive terms of an arithmetic sequence.
The value of k is equal to -5.5
How to calculate the value of k in this arithmetic sequence?In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:
[tex]a_n=a_1+(n-1)d[/tex]
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Based on the the common difference of an arithmetic sequence, we have:
k - 2 - 3k = k + 7 - (k - 2)
-2k - 2 = k + 7 - k + 2
-2k - 2 = 9
-2k = 11
k = -11/2
k = -5.5
Read more on arithmetic sequence here: brainly.com/question/24989563
#SPJ6
The table below shows the number of students who attend various after-school activities. After-School Activities Activity Number of Students Spanish Club 19 Basketball 24 Drama 15 Homework Help 17 Soccer 20 Which ratio compares the number of students in the Spanish club to the total number of students? a.19:95 b.20:95 c.95:24 c.95:19
Answer:
C. 95:19
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
because the total number of students is 95 and those who play Spanish club is 19
A die is rolled five times and a 5 or 6 is considered a success. find the probability of no. of success?
Answer:
1/3
Step-by-step explanation:
Evaluate u’ – 4u + 3 for u
=-3
Enter an integer or decimal number (more..]
Submit Question
Find the midpoint of the segment with the following endpoints.
(-6, -6) and (4, -2)
Answer:
(-1,-4)
Step-by-step explanation:
USE A1 + A2 / 2 AND B1 + B2 / 2
A1 + A2 / 2
= (-6+4) / 2
= -2/2
= -1
B2 + B1 / 2
= (-6+(-2)) / 2
= -8 / 2
= -4
therefore, (-1,-4) is your midpoint.
Which of the following is an odd function? f(x) = 3x2 + x f(x) = 4x3 + 7 f(x) = 5x2 + 9 f(x) = 6x3 + 2x
The odd function from the following function is f(x) = 6x³ + 2x.
What is an odd function?The function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.
f(-x) = -f(x)
The functions are given below.
f(x) = 3x² + x
f(x) = 4x³ + 7
f(x) = 5x² + 9
f(x) = 6x³ + 2x
f(x) = 3(-x)² + (-x) = 3x² - x
f(x) = 4(-x)³ + 7 = -4x³ + 7
f(x) = 5(-x)² + 9 = 5x² + 9
f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)
Learn about the odd function;
brainly.com/question/14264818
#SPJ2
Answer:
D f(x) = 6x3 + 2x
Step-by-step explanation:
Toss 3 dice. What's the probability that a 4 will come up exactly twice?
Answer:
[tex]\bold{\dfrac{1}{12}}[/tex]
Step-by-step explanation:
The dice is rolled 3 times.
To find:
The probability that a 4 will come up exactly twice = ?
Solution:
Let 4 comes up exactly twice, let the third number be [tex]x[/tex].
The possible outcomes can be:
([tex]x[/tex], 4, 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.
(4, [tex]x[/tex], 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.
(4, 4, [tex]x[/tex]) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.
So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18
Total number of outcomes that can be possible at roll of 3 dice:
6 [tex]\times[/tex] 6 [tex]\times[/tex] 6 = 216
Formula for probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(\text{exact 2 fours}) = \dfrac{18}{216}\\\Rightarrow \bold{P(\text{exact 2 fours}) = \dfrac{1}{12}}[/tex]
Negative numbers do not have square roots that are real numbers
Answer:
Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
Simplify negative 3 over 4 divided by 2 over negative 8 .
Answer:
3/4 1/4
Step-by-step explanation:
Answer:
im pretty sure its three i did this question as well
Step-by-step explanation:
I converted each fraction into a decimal because its just eaiser for me that way and -3/4 is .75 and - 2/8 is -.25 and if you divide those you get three :)
Minimum value of C=x+3y
Answer:
DNE
Step-by-step explanation:
If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.
If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.
We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist.
Which statement is true about the expression 12 minus 7 + 3? The expression is equivalent to 12 minus (7 + 3) because of the associative property. The expression is equivalent to 12 + 3 + (negative 7) because of the associative property. The expression is equivalent to 12 minus 3 + 7 because of the commutative property. The expression is equivalent to 12 + 3 + (negative 7) because of the commutative property.
Answer:
The Expression is equivalent to 12+3+ negative 7
Step-by-step explanation:
When you sub tract something for example 5-3 the three can be looked at as a negative number. 5-3=2 but 5+ (-3)=2 as well
The associative property indicates that the true statement about the expression is the option;
''The expression is equivalent to 12 + 3 + (negative 7) because of the associative property''
What is the associative property?
The associative property is related to the grouping of the numbers in an operation. According to the associative property changing the grouping of numbers does not change the result of addition and multiplication.
The associative property allows us to change the grouping of the addition operation, so we can rewrite the expression as follows; (12 + 3) + (negative 7), which simplifies to 15 + (negative 7) or 8. The commutative property on the hand, allows us to change the order of the addition operation. However, with regard to the question, it is not relevant because the expression involves addition and subtraction
Learn more on the associative property here: https://brainly.com/question/17214533
#SPJ6
find the x and y intercepts of the circle: (x-6)^2+(y+3)^2=16
Answer: x=0 y=2
Step-by-step explanation:
Answer:
-y+11
Step-by-step explanation:
(x-6)•2+(y+3)•2-(y+3)•2=16-(y+3)•2
(x-6)•2=-2y+10
(x-6)•=-2y/2+10/2
x-6=-y+5
x=-y+11
Alyssa had 59 dollars to spend on 6 books. After buying them she had 11 dollars. How much did each book cost
Can some body please help meeeee T^T
Answer:
Till tomorrow
TT Definition / TT Means
The definition of TT is "Telegrahic Transfer" or "Till tomorrow"
Step-by-step explanation:
Answer:
The answer is 5
Step-by-step explanation:
(50-10)=40/8=5
In each represent the common form of each argument using letters to stand for component sentences, and fill in the blanks so that the argument in part (b) has the same logical form as the argument in part (a).
a. If all computer programs contain errors, then this program contains an error.
This program does not contain an error.
Therefore, it is not the case that all computer programs contain errors.
b. If _______________, then _____________.
2 is not odd.
Therefore, it is not the case that all prime numbers are odd.
Answer:
a
[tex]a \to b[/tex]
[tex]\neg b[/tex]
[tex]\neg a[/tex]
b
If all prime numbers are odd, then 2 is odd.
2 is not odd.
Therefore, it is not the case that all prime numbers are odd.
Step-by-step explanation:
Considering part A
The first sentence is
If all computer programs contain errors, then this program contains an error.
The second sentence is
This program does not contain an error.
The third sentence is
Therefore, it is not the case that all computer programs contain errors.
Now we will use a and b as the letter to denote the component sentences and [tex]\neg a[/tex] and [tex]\neg b[/tex] when the component sentences is not the case
So a = If all computer programs contain errors
and
b = this program contains an error.
Generally then is represented as [tex]\to[/tex]
Hence the first sentence is denoted as
[tex]a \to b[/tex]
The second sentence is represented as
[tex]\neg b[/tex]
The third sentence is represented as
[tex]\neg a[/tex]
So part a can be represented as
[tex]a \to b[/tex]
[tex]\neg b[/tex]
[tex]\neg a[/tex]
Considering part B
Here the objective is to fill in the blank spaces so that the logic of the sentence in part b is as that in part a
Now comparing the second statement a and b
"This program does not contain an error" = "2 is not odd" = [tex]\neg b[/tex]
Hence "this program contains an error." = "2 is odd" = b
Now comparing the third statement a and b
Therefore, it is not the case that all computer programs contain errors.
=
Therefore, it is not the case that all prime numbers are odd
=
[tex]\neg a[/tex]
Hence
If all computer programs contain errors, = if all prime numbers are odd.= a
4+y when y = 18 would the answer be 22
Answer:
22
Step-by-step explanation:
4+18=22 if y is solved for 18 in the equation 4+y= the answer would be 22.
Answer:
22
Step-by-step explanation:
Evaluate y + 4 where y = 18:
y + 4 = 4 + 18
Hint: | Evaluate 4 + 18 using long addition.
| 1 |
| 1 | 8
+ | | 4
| 2 | 2:
Answer: 22
Matt has two very active dogs named Theia and Odin who need to eat extra snacks to increase
their caloric intake. He uses math to figure out how much more to feed them. He tracks their
activity level to determine the increase.
The table below shows the number of treats per dog per week.
What is the average rate of change for the number of treats that Odin gets each week between
Week 1 and Week 5?
Week 2
Week 3
Week 5
Odin
Theia
Week 1
7
5
3
2.
00 00
Week 4
9
7
4
5
Week 6
5
6
Answer:
Step-by-step explanation:
That is cheating no help for you sorry
The height of a door is 1.4 feet more than 2.3 times its width. If the height of the door is 8.5 feet, which equation can be used to determine x, the width of the door.
Answer:
[tex]2.3x+1.4=8.5[/tex], width = 3.087 feet.
Step-by-step explanation:
Let as consider width of the door be x feet.
It is given that height of a door is 1.4 feet more than 2.3 times its width. So,
[tex]Height=2.3x+1.4[/tex]
The height of the door is 8.5 feet.
[tex]2.3x+1.4=8.5[/tex]
Therefore, the required equation is [tex]2.3x+1.4=8.5[/tex].
[tex]2.3x=8.5-1.4[/tex]
[tex]2.3x=7.1[/tex]
[tex]x=\dfrac{7.1}{2.3}[/tex]
[tex]x\approx 3.087[/tex]
So, the width of the door is about 3.087 feet.
1. Write the algebraic expression for:
"Three less than a number.”
X + 3
a.
b.
3 x
X - 3
c.
d.
3.x
Hello, I’m having trouble with this math problem and would appreciate it if I’d get help
Step-by-step explanation:
we have the equation
[tex]C=1.02x+153[/tex]
19. cost when x=250
[tex]C=1.02(250)+153\\\\C=408[/tex]dollars
20. what does the slope means in the context
it means the regular increase of the cost, in other words, how much is the cost increasing per mile driven
21. what does the y-intercept means in the context
it means the starting cost of only renting the car one day, not even driving it, it's the lowest cost you can get
convert 5 2/5 into an improper fraction
Step-by-step explanation:
To write 5 as a fraction with a common denominator, multiply by 55 . Combine 5 and 55 . Combine the numerators over the common denominator. Simplify the numerator.
The convert of the mixed fraction into an improper fraction is [tex]\frac{27}{25}[/tex]
Important information:The mixed fraction is [tex]5 \frac{2}{5}[/tex]Calculation:[tex]= 5\frac{2}{5}\\\\ = \frac{27}{25}[/tex]
Learn more about the fraction here: https://brainly.com/question/24584039
Can someone please help me with this question
Answer:
5x+3>23
Step-by-step explanation:
x [tex]\geq[/tex]4
2 Look at the open number line in
Problem 1. How would you change the
numbers to show 9 + 5?
Answer:
i need the number line
Step-by-step explanation:
lol