Answer:
m<8 = 26°
Step-by-step explanation:
Given:
m<3 = 124°
Required:
m<8
SOLUTION:
Find m<4.
m<4 + m<3 = 180° (linear pair)
m<4 + 124° = 180°
m<4 + 124° - 124° = 180 - 124°
m<4 = 26°
Find m<8:
m<8 = m<4 (corresponding angles)
m<8 = 26° (substitution)
Write the function in vertex form. y=x^2+5x-9
Answer:
The function in the vertex form is y = (x + 2.5)² - 15.25
Step-by-step explanation:
The vertex form of the quadratic function y = ax² + bx + c is:
y = a(x - h)² + k, where
a is the coefficient of x²h, k are the coordinates of its vertex pointh = [tex]\frac{-b}{2a}[/tex]k equals y at x = h∵ The given function is y = x² + 5x - 9
∴ a = 1, b = 5, c = -9
→ Use a and b to find h
∵ h = [tex]\frac{-b}{2a}[/tex]
∴ h = [tex]\frac{-5}{2(1)}=-2.5[/tex]
∴ h = -2.5
→ Find y at x = -2.5
∵ y = (-2.5)² + 5(-2.5) - 9 = 6.25 - 12.5 - 9
∴ y = -15.25
∴ k = -15.25
→ Substitute a, h, k in the vertex form above
∴ y = 1(x - -2.5)² + -15.25
∴ y = (x + 2.5)² - 15.25
The function in the vertex form is y = (x + 2.5)² - 15.25
Is this equation correct? 6^3 • 7^3 = 42^3
Answer:
Yes.
Step-by-step explanation:
[tex]6^{3}[/tex] × [tex]7^{3}[/tex] = [tex]42^{3}[/tex]
74,088 = 74,088
Question 4
In the number shown, one digit is underlined and one digit is circled.
20,000
Which statement about the circled digit is true?
F
Its value is 10 times greater than the value of the underlined digit.
G
Its value is the underlined digit - 10.
H
Its value is 70 times the value of the underlined digit.
J
Its value is the underlined digit = 70.
Answer:
Therefore, the correct option is: Its value is 1/10 the value of the underlined digit.
Note: The question is incomplete. The complete question is given below:
2. In the number shown, one digit is underlined and one digit is circled. Which statement about the circled digit is true?
Its value is 10 times greater than the value of the underlined digit.
Its value is 1/10 the value of the underlined digit.
Its value is 70 times the value of the underlined digit.
Its value is 1/70 the value of the underlined digit.
See attachment below for the number
Step-by-step explanation:
This problem is about the place value of whole numbers.
Step 1: Determining the place value of the numbers
The place value is the value of each digit in a number, be it a whole number or a decimal number.
The number shown is seventy seven thousand (77,000)
The place value of the underlined 7 is 7 ten thousands = 7 * 10000 = 70000
The place value of the circled 7 is 7 thousands = 7 * 1000 = 7000
Step 2: Comparing the numbers
Comparing the circled number and the underlined number:
7000/70000 = 1/10
Therefore, the correct option is: Its value is 1/10 the value of the underlined digit.
10. Choose THREE of the following that would satisfy the inequality below.
- 3x – 8 > - 4x + 12
A. 30
B.-20
C. 21
D. 25
E. 20
if the slope of a line is 4/3. I would count
Answer:
1.3
Step-by-step explanation:
Just put it in the caculator
Answer:
Up 4 and right 3
Step-by-step explanation:
Rise over run. Rise is either up(positive) or down(negative). Run is either left(negative) or right(positive).
7+69+420
Answer: 496
Step-by-step explanation:
What graph would it be?
I think it's A :)))
..........
Plz help i really need this
Solve for x.
-3x = 15
X= -5
X= 5
X= 45
A car is traveling at a speed of 99 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 15 minutes? Do not round your answers.
//////l??///??????/////
Someone help please
Answer:
1.0
Step-by-step explanation:
you have to follow the arrow
Caculate the unit rate using the following
information, mom drove 20 miles in 1/4 of an hour
What was her rate or spee in Miles per hour.
Answer:
80 miles per hour
Step-by-step explanation:
To find her speed in miles per hour, multiply 20 by 4.
Since she drove 20 miles in 1/4 of an hour, we can find the amount she can drive in 1 full hour by multiplying it by 4.
20(4)
= 80
So, her rate in miles per hour is 80 miles per hour
Answer:
80 mph
Step-by-step explanation:
20 miles multiplied by 4(quarters of the hour) is 80mph
What number is one tenth of the number 0.9
Answer:
0.09
Step-by-step explanation:
First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.
The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:
1/10(9/10)
To multiply fractions, multiply the numerators and multiply the denominators:
1/10(9/10) = (1*9)/(10*10) = 9/100
Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.
-12>x-7 solve inequality
Answer:
x < -5
Step-by-step explanation:
first you do 12 - 7 which equals to 5
and then put x < becuase -12 is less than -7
Reason 2) A:m
B:m
C:m
Reason 3)
A:Addition property
B:Angle addition postulate
C:Definition of congruence
D: Definition of complementary angles
Answer:g
Step-by-step explanation:
Who can help me with this
A: How many total hours were worked this week?
Answer- 14 hours were worked this week
B: How many overtime hours were worked?
Answer- 36 overtime hours were worked
I hope this helps you out!!
Answer:
A. 41 hours were worked the whole week
Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of n components can be viewed as the n trials of a binomial experiment. The outcome for each component tested (trial) will be that the component is classified as good or defective. Reynolds Electronics accepts a lot from a particular supplier if the defective components in the lot do not exceed 1%. Suppose a random sample of five items from a recent shipment is tested.
a. Assume that 1% of the shipment is defective. Compute the probability that no items in the sample are defective.
b. Assume that 1% of the shipment is defective. Compute the probability that exactly one item in the sample is defective.
c. What is the probability of observing one or more defective items in the sample if 1% of the shipment is defective?
d. Would you feel comfortable accepting the shipment if one item was found to be defective? Why or why not?
Answer:
A. 0.9510
B. 0.0480
C. 0.0490
D. No, I would not feel comfortable accepting the shipment if one item was found defective, because the probability is quite small to obtain 1 or more defective items.
A rectangle has perimeter 182 in. and length 52 in. What is the width
Answer:
the width is 39 in
Step-by-step explanation:
length is 52. there are two "length" sides witch = 104
the perimiter is all sides added. 182-104= 78
78= both of the width sides so 78 divide by 2 = 39in
What does (X^2)^3 equal
Before 1918, approximately 40% of the wolves in a region were male, and 60% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 60% of wolves in the region are male, and 40% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male
Answer:
P(≥ 7 males) = 0.0548
Step-by-step explanation:
This is a binomial probability distribution problem.
We are told that Before 1918;
P(male) = 40% = 0.4
P(female) = 60% = 0.6
n = 10
Thus;probability that 7 or more were male is;
P(≥ 7 males) = P(7) + P(8) + P(9) + P(10)
Now, binomial probability formula is;
P(x) = [n!/((n - x)! × x!)] × p^(x) × q^(n - x)
Now, p = 0.4 and q = 0.6.
Also, n = 10
Thus;
P(7) = [10!/((10 - 7)! × 7!)] × 0.4^(7) × 0.6^(10 - 7)
P(7) = 0.0425
P(8) = [10!/((10 - 8)! × 8!)] × 0.4^(8) × 0.6^(10 - 8)
P(8) = 0.0106
P(9) = [10!/((10 - 9)! × 9!)] × 0.4^(9) × 0.6^(10 - 9)
P(9) = 0.0016
P(10) = [10!/((10 - 10)! × 10!)] × 0.4^(10) × 0.6^(10 - 10)
P(10) = 0.0001
Thus;
P(≥ 7 males) = 0.0425 + 0.0106 + 0.0016 + 0.0001 = 0.0548
determine the intercepts of the line
x- intercept (_,_)
y- intercept (_,_)
Answer:
x-intercept (-7.5, 0)
y-intercept (0, 5.5)
Hope this helps!
NEED HELP!!!!!!!!!!!!!!!!
Answer:
1=4 being the co interior angle
2=3 being the opposite angle
A line contains the points (6, 8) and (1,-2).
What is the slope of the line in simplified form?
Enter your answer in the box
Answer:
The slope of the line is two.
Step-by-step explanation:
Recall that to find the slope between any two points, we can use the slope formula:
[tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Let (6, 8) be our (x₁, y₁) and let (1, -2) be our (x₂, y₂). Substitution yields:
[tex]\displaystyle m=\frac{(-2)-(8)}{(1)-(6)}[/tex]
Subtract:
[tex]\displaystyle m=\frac{-10}{-5}[/tex]
Divide:
[tex]m=2[/tex]
Therefore, the slope of the line is two.
Answer:
2
Step-by-step explanation:
7. Given :
Point B is the midpoint of AC. Point C is the midpoint of BD.
Prove:
AB=CD.
A
B
C С
D
Answer:
c
Step-by-step explanation:
Answer:false
Step-by-step explanation:
What is the answer please I need it
Question 7 of 10
If h(x) = (fºg)(x) and h(x) = Vx+5, find g(x) if f(x) = (x+2.
Answer here
Answer:
g(x) = x + 3
Step-by-step explanation:
A composite function is a function that is written inside another function which means substituting one function into another function.
Ex: (fоg)(x) is a composite function, where x of f(x) is substituted by g(x)
∵ h(x) = (fоg)(x)
∵ [tex]h(x)=\sqrt{x+5}[/tex]
∵ [tex]f(x)=\sqrt{x+2}[/tex]
→ Substitute x of f(x) by g(x)
∴ (fоg)(x) = [tex]\sqrt{g(x)+2}[/tex]
→ Equate (fоg)(x) by h(x)
∴ [tex]\sqrt{g(x)+2}=\sqrt{x+5}[/tex]
→ Cancel the roots from the two sides
∴ g(x) + 2 = x + 5
→ Subtract 2 from both sides
∴ g(x) + 2 - 2 = x + 5 - 2
∴ g(x) = x + 3
the perimeter of a semicircle is 5.14 millimeters what is the semicircle diameter
Answer:
2 mm
Step-by-step explanation:
let the radius of the semi-circle be r
Then,
length of curved portion = 1/2 x circumference = (1/2) (2)(π)r = πr
length of straight portion = diameter of circle = 2r
Hence, we can write an expression for the perimeter
Perimeter = length of curved portion + length of straight portion
Perimeter = πr + 2r
Perimeter = (π + 2)r
since we are given the perimeter = 5.14, assuming that π=3.14, our equation becomes:
5.14 = (3.14 + 2)r
5.14 = 5.14 r
r = 5.14 / 5.14 = 1
Hence, diameter = 2r = 2(1) = 2 mm
Simplify
56
to lowest terms.
64
Answer:
7/8 is the simplified fraction for 56/64 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 56/64 by using the prime factorization method.
Step-by-step explanation:
What is 1000% percent of 99.
TJ is think of a number which he calls n he finds 1/3 of the number
Answer:
Step-by-step explanation:
Let the number TJ thinks of be n.
If he finds 1/3 of the number, the expression that models this situation is expressed as:
1/3 of n
= 1/3 * n
= n/3
hence the expression that models the scenario is n/3
Answer:
1/3n-5
Step-by-step explanation: