Answer:
9992≤x 10038Step-by-step explanation:
Given the expression
∣x−10015∣∣≤23, we are to find the range of values of x
since the function is in a modulus sign, it can be expressed as a negative and positive function.
If the function is positive;
x - 10015 ≤23
x ≤23 + 10015
x ≤ 10038
If the function is negative;
-(x-10015)≤23
-x+10015≤23
-x≤23-10015
-x≤-9992
multiply through by -1
x ≥ 9992 (note the inequality sign change)
9992≤x
Combine both inequalities
9992≤x and x ≤ 10038
On combining;
9992≤x 10038
Hence the inequality to find the IQ scores for the middle 50% of the population is expressed as 9992≤x 10038
We want to solve an inequality to find the range of IQ scores for half of the population.
We will find that the range is:
77.15 ≤ x ≤ 123.15
The inequality we need to solve is:
|x - 100.15| ≤ 23
To solve it, we write two inequalities.
x - 100.15 ≤ 23
x - 100.15 ≥ -23
Solving these two, we will get the maximum and minimum of the range.
The maximum is given by:
x - 100.15 ≤ 23
x ≤ 23 + 100.15 = 123.15
The minimum is given by:
x - 100.15 ≥ -23
x ≥ -23 + 100.15 = 77.15
Then the range is:
77.15 ≤ x ≤ 123.15
If you want to learn more, you can read:
https://brainly.com/question/24797699
What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?
Answer:
3 or 4 i belive
Step-by-step explanation:
On monday a farmer sold 25,196 pounds of potatoes on tuesday he sold 18,023 pounds. On wensday he sold some potatoes in all he sold 62,049 pounds of potatos
Given :
Total pounds of potatoes, T = 62,049.
On Monday a farmer sold 25,196 pounds of potatoes on Tuesday he sold 18,023 pounds.
To Find :
How many pounds he sold in Wednesday to end the stock.
Solution :
Potatoes sold in Wednesday = Total - Potatoes sold in Monday - Potatoes sold in Tuesday
= 62049 - 25196 - 18023 pounds
= 18830 pounds
Hence, this is the required solution.
Factor x^2 + 9x + 14
Answer:
(x+2)(x+7)
Step-by-step explanation:
Factor out the expression and simplify if needed.
Answer:
(x+2)(x+7)
Step-by-step explanation:
what adds to 9: 2 and 7
what multiplies to 14: 2 and 7
Double bubble, put x in both of the bubbles, and positive 2 and 7, that is in factored form.
30% of what number is 3?
Answer:
10
Step-by-step explanation:
To find the number, divide 3 by 0.3
3/0.3
= 10
So, 30% of 10 is 3.
) A rectangles length is 4 more than 3 times its width.
Its perimeter is 152. Find the length and width.
Answer:
no entiendo nada
Step-by-step explanation:
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is 4 more than 3 times it's width;
[tex] \longrightarrow [/tex] l = 3w + 4
Perimeter of rectangle = 152
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 152 \\ \\ \rm \implies 2(3w + 4+ w) = 152 \\ \\ \rm \implies 2(4w + 4) = 152 \\ \\ \rm \implies 2 \times 4(w + 1) = 152 \\ \\ \rm \implies 8(w + 1) = 152 \\ \\ \rm \implies w + 1 = \dfrac{152}{8} \\ \\ \rm \implies w + 1 = 19 \\ \\ \rm \implies w = 19 - 1 \\ \\ \rm \implies w = 18[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 18
Length of rectangle (l) = 3 × 18 + 4 = 58
What would an equation be for a line with a slope of 3 and a y-intercept of 7?
Answer:
y = 3x + 7
Step-by-step explanation:
Using the formula y = mx + b we can create this equation.
m = slope
b = y -intercept
based on the information provided I know that
Slope = 3
and
y-intercept = 7
Substitute:
y = mx + b
y = 3x + 7
y = 3x + 7 is the equation when the slope is 3 and the y intercept is 7.
Let us use the slope-intercept form for this, with m as the slope and b as a constant.
y = mx + b
7 = 3(0) + b [since the y-int is 7, the x value will be zero]
b = 7
y = 3x + 7
Mr. Jones sells apples at the farmers’ market. In a container, he has 4 different types of apples. The probability of randomly selecting a Golden Delicious apple is , a Fuji apple is , and a McIntosh apple is . The rest of the apples in the container are Galas. What is the likelihood of a customer selecting a Gala apple?
is it unlikely
likely
certain
impossible
I WILL MAKE BRAINELST
Answer:
This question cannot be answered with the information given
Step-by-step explanation:
You did not include the possibilities of each apple being selected.
I will follow this question and answer it when there's more details.
HELP PLEASE! I will rate 5 stars and give brainliest!!!
Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
[tex]a_{n}[/tex] = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
[tex]a_{n}[/tex] = - 7n - 11 ← explicit formula
--------------------------------------------------------------
The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 7 with a₁ = - 18 ← recursive formula
Write the product (4 + i)(4 − i) in the form a + bi.
Answer:16- i^2
Step-by-step exp
foil
Answer:
17
Step-by-step explanation:
5
Write
6
as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
I HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!!!
Subtract -2x-10−from 10x^2+3
Answer:
-10x² - 2x - 13Step-by-step explanation:
(-2x - 10) − (10x² + 3)
= -2x - 10 − 10x² - 3
= -10x² - 2x - 13
In the diagram, the dashed figure is the image of the solid figure.
What is the image of
A
B
C
D
Answer:
the answer is A because it is ap
In which of the following situations would using the Pythagorean theorem be helpful?
1. a contractor wanting to determine how high to build a staircase
2. a contractor wanting to determine if a corner is square
3. an architect wanting to determine how high a roof should be
4. an architect wanting to determine a stair railing height
Answer: the answer is b I got it right on my quiz
Select all that apply.
40 is what percent of 25. Hint: There are 2 correct answers.
А160%
B 62.5%
C 1600%
D625/1000
E 160/100
F1600/100
Answer:
B and D
Step-by-step explanation:
Hope this helps :3
if it did pls mark brainliest
Answer:
A & E
Step-by-step explanation:
First, multiply 40 by 100, giving you 4000. You then divide 4000 by 25, where you will get a quotient of 160. Now, this can be represented as 160% or 160/100 because a percentage is always out of 100.
Any help? Much appreciated
Answer:
[tex]\frac{6+\sqrt{27} }{4-\sqrt{3} } = \frac{r+s\sqrt{3} }{13} \\We\ may\ multiply\ the\ numerator\ and\ denominator\ with\ (4+\sqrt{3} ).\\Hence,\\\frac{(6+\sqrt{27})(4+\sqrt{3}) }{13} = \frac{r+s\sqrt{3} }{13} \\Hence,\\24+6\sqrt{3} +4\sqrt{27} +9= r+s\sqrt{3}\\24+6\sqrt{3} +4*3\sqrt{3} } +9= r+s\sqrt{3}\\24+6\sqrt{3} +12\sqrt{3}+9 = r+s\sqrt{3}\\33+18\sqrt{3} = r+s\sqrt{3}\\Hence,\\r=33, s=18[/tex]
Select all ratios equivalent to 7:2 ?
Answer: 14:4 , 21:6 , 28:8 , 35:10
Step-by-step explanation:
what is 9x9x9x9x9x9x9x9x9x9x9x99x99x99x99x99=?
Answer:
2.9843075e+20
Step-by-step explanation:
Am pretty sure tht the answer
Solve 2y - 14 = -8 for y
Answer: y = 3
Step-by-step explanation:
2y - 14 = -8
2y - 14 + 14 = -8 + 14
2y = 6
y = 3
please help me fill in the blank
Answer: X = 5
Step-by-step explanation: Since a square has all equal sides, and area is just length times width, the other side has to be five. If you REALLY feel the need to check my work just do 5x5.
What is the inverse of the function f(x) = 4x + 8?
O h(x) = 1/4x-2
O h(x) = 1/4x+2
O h(x) = 1/2x-2
O h(x) = 1/2x+2
[tex]f(x)=4x+8\\y=4x+8\\x=4y+8\\\\[/tex]
Proceed the inverse. Swap the x and y.
[tex]x-8=4y\\\frac{x}{4}-\frac{8}{4}=y\\y=h(x)\\h(x)=\frac{x}{4}-2\\h(x)=\frac{1}{4}x-2[/tex]
So the answer is first one.
help me please thank you!!
Answer:
6+1.25t
Step-by-step explanation:
W(in the 1st month)=6+1.25
W(in the 2nd month)=6+1.25+1.25
W(in the 3rd month)=6+1.25+1.25+1.25
W(in the t months)=6+t(1.25)
In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About
what fraction of the votes did Lincoln receive?
If you subtract 16 from my number and multiply the difference by -3, the result is -39 what is my number
Answer:
29
Step-by-step explanation:
Start with -39. We need to do inverse operations to figure out the solution. -39 divided by -3 is 13, and 13 plus 16 is 29.
Answer:
29
Step-by-step explanation:
-39=-3(n-16)
13=n-16
29=n
The punch layout for a piece of 12 gage sheet metal is as shown. What is the area of the cross hatched center "star" shape ? Show all calculations! circle radius 1 foot Not drawn to scale I
Answer:
.86 square feet.
Step-by-step explanation:
Directions
You have to do this by following directions.
1, Go one circle to your right. Make it the top circle.
2, Drop a perpendicular from the circle you've just been directed to.
3. Draw until you hit the center of the circle below the circle you started your line from. You should get a square.
Find the area of the square.
Each side of the square is 2 feet. You get that because the side of the square = 2 radii -- one radii from the two circles in the center.
Area Square = s^2
Area Square = 2 * 2
Area Square = 4
Find the are of the circles
The 4 central circles that are touching (2 to the left and 2 to the right) are each are 1/4 of a full circle. 4 * 1/4 circle Area = 1 full circle.
Area = pi * r^2 = 3.14 * 1^2 = 3.14
Find the area of the star
Area of the star = area of square - area of circle.
Area of the star = 4 - 3.14
Area of the star = .86 sqr feet
Why are they parallel?
Answer:
a and d are parallel
Step-by-step explanation:
which expression are equivalent to 3(-2a-5)+3a
Answer:
,
Step-b,y-step explanation:
Determine where the decimal point belongs in each product. 1.7 × 2.5 = 425 The decimal point belongs after the . 3.62 × 1.7 = 6154 The decimal point belongs after the .
Decimal point in product is the sum of the decimal points in the numbers which we are multiplying.
For ex :
2.6 × 6.7 = 17.42
1 + 1 = 2
For, 1.7 × 2.5 the sum of decimal in each number is 1 and 1 .
So, decimal in product is at 2 i.e 4.25 .
For, 3.62 × 1.7 the sum of decimal in each number is 2 and 1.
Decimal in product is at 2 + 1 = 3 i.e 6.154 .
Therefore, solution is 1.7 × 2.5 = 4.25 and 3.62 × 1.7 = 6.154 .
Hence, this is the required solution.
Answer:
The first one is ¨4¨. The second one is ¨6¨.
Step-by-step explanation:
i got it right on edg. when i guessed the first time
Hi need help PLEASE
Thirty-two jelly beans are shared by 8 students. How many jelly beans will
each student get?
Answer:
4
Step-by-step explanation:
because 32 divided by 8 = 4
PLEASE ANSWER ASAP
what is the slope of any line that is parallel to the line y+3=5/7(×+2)?
A. 3
B. 5/7
C. 2
D. -5/7
B) 5/7
^That's the slope :)
