Which of the values from the set (-7, -6, -2, 0, 1, 3) satisfy the inequality-5x + 5< 25
Answers
Answer: -2, 0, 1, 3
Step-by-step explanation:
when you multiply -7 and -6 by -5 than add 5 you get a higher number than 25.
when you multiply -2, 0, 1 And 3 by -5 than add 5 you get a lower number than 25.
Related Questions
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 48 ounces and a standard deviation of 3 ounces. Use the 68-95-99.7 Rule and a sketch of the normal distribution in order to answer these questions. a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 39 and 54 ounces? % c) What percentage of the widget weights lie above 45 ?
Answers
After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.
a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:
48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.
b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.
39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.
54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.
Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.
Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:
100% - 0.15% - 2.5% = 97.35%
c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:
100% - 99.7% = 0.3%.
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at a baseball game 70% of the people in the crowd purchase popcorn. There were 250 people in the crowd. How many people purchased popcorn?
Answers
Answer:
35
Step-by-step explanation:
The answer is 35 because 250 divided 7 is 35
4.A system of equations is shown below. Find the solution by using substitution. y = 3x + 6 y = x + 2 O (0,2) 0 (0,-2) O (2,0) O (-2, 0)
Answers
Answer:
0,2
Step-by-step explanation:
what is the equation for g, which is f(x)=2x+3x-1 reflected across the y-axis
Answers
A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?
Answers
Answer:
A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?
Given that ABCD is a rhombus, what is the value of x?
B
(4x-25)
A
OA. 29
B. 23
C. 46
D. 38
OE. 45
O F. Cannot be determined
Answers
The value of x in the rhombus ABCD is determined as 23.
option B.
What is the value of x?The value of x is calculated by applying the following formula as shown below.
the diagonals of a rhombus intersects at 90 degrees;
the complementary angle of (4x - 25) = 90 - (4x - 25)
90 - (4x - 25) = x (alternate angles are equal)
90 - 4x + 25 = x
115 = 4x + x
115 = 5x
divide both sides of the equation by 5 to obtain the value of x;
5x = 115
x = 115 / 5
x = 23
Thus, the value of x in the rhombus ABCD is determined as 23.
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What is time-and-a-half for $7.51?
Answers
Answer:
$15.2
Step-by-step explanation:
1. use row operations to determine whether a given matrix is invertible, and find its inverse at the same time if it is invertible
Answers
This gives the matrix [I|A]. Row operations can then be performed on the matrix to transform it into the form [I|B], where B is the inverse of A.
In order to use row operations to determine whether a given matrix is invertible and find its inverse if it is invertible, the following steps can be taken:
Step 1:
Write the given matrix with an identity matrix of the same order to its right. This gives a new matrix, [A|I].
Step 2:
Using elementary row operations, convert the matrix on the left to an identity matrix. This can be done by performing operations such as swapping two rows, multiplying a row by a nonzero constant, or adding a multiple of one row to another row.
Step 3:
The matrix on the right will now be the inverse of the original matrix if the matrix on the left was converted to an identity matrix.
If the matrix on the left cannot be converted to an identity matrix, then the original matrix is not invertible and does not have an inverse.
In this case, the matrix is said to be singular.
The process of using row operations to find the inverse of a matrix can be simplified by writing the identity matrix first and then the given matrix next to it.
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The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
Answers
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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HELP!? ✋
What strategies help prevent cancer?
Select all that apply.
Question 8 options:
using sunscreen
avoiding tobacco
getting enough sleep
eating a healthy diet
Answers
The students in Mrs. Willow's reading class are all reading the same novel independently. Four students create a graph of their reading rates, in words per minute, as shown below. Which student reads the fastest? A. Mason B. RIley C. Sarah D. Charlie
Answers
Answer:
Mason reads the fastest
Answer:
c
Step-by-step explanation:
try to see how much every person reads every one or two minutes.
Charlie: 350 in two min
Mason :400 in two min
Sarah: 450 in two min (the middle of 300-600 is 450)
so between the three Sarah wins.
now Reilly is a bit more difficult but you can see that she read 4000 in 20 min. so if we divide it by 10 we can see she reads 400 in 2 min. and therefore Sarah os the winner.
If z=15, what would the expression z2 – 2z + 15 be equal to?
Answers
Answer:
15
Step-by-step explanation:
z2 - 2z + 15
(15)2 - 2(15) + 15
30 - 30 + 15
0 + 15
15
Hey there!
z^2 - 2z + 15
= 15^2 - 2(15) + 15
= 225 - 30 + 15
= 195 + 15
= 210
Therefore, your answer is: 210
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is (x³-8x² + 6x +41) ÷ (x-4)
Answers
Step 1: Write the dividend and divisor:
\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 2: Divide the first term of the dividend by the first term of the divisor:
\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)
Step 3: Multiply the divisor (x - 4) by the result (x^2):
\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)
Step 4: Subtract the result from the original dividend:
\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)
Step 5: Bring down the next term from the dividend:
\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 6: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)
\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)
\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)
Step 7: Bring down the next term from the dividend:
\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)
Step 8: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)
\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)
\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)
Step 9: There are no more terms to bring down, so the division is complete.
Step 10: Write the final result:
The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.
Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:
\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)
Given:
p: 2x = 16
q: 3x - 4= 20
Which is the converse of p - q?
Olf 2x 16, then 3x - 4+20.
O if 3x - 420, then 2x 16.
O If 2x = 16, then 3x - 4= 20.
O If 3x - 4= 20, then 2x = 16.
Answers
Express z1 33 - 9i in polar form.Express your answer in exact terms, using radians, where your angle is between 0 and 21 radians, inclusive.21 =
Answers
Answer:
\(z_1=6\sqrt[]{3}\lbrack\cos (-\frac{\pi}{3})+i\sin (-\frac{\pi}{3})\rbrack\)Explanation:
The rectangular form of a complex number is generally given as;
\(z=a+bi\)where;
\(\begin{gathered} a=r\cos \theta \\ b=r\sin \theta \\ r=|z|=\sqrt[]{a^2+b^2} \\ \theta=\tan ^{-1}(\frac{b}{a})\text{ for a > 0} \end{gathered}\)Converting rectangular form to polar form, we'll have;
\(z=r(\cos \theta+i\sin \theta)\)Given the below;
\(z_1=3\sqrt[]{3}-9i\)We can see that;
\(\begin{gathered} a=3\sqrt[]{3} \\ b=-9 \end{gathered}\)Let's go ahead and find r as shown below;
\(\begin{gathered} r=\sqrt[]{(3\sqrt[]{3})^2+(-9)^2}=\sqrt[]{(9\times3)^{}+81}=\sqrt[]{27+81}=\sqrt[]{108} \\ r=\sqrt[]{36\times3}=\sqrt[]{36}\times\sqrt[]{3} \\ r=6\sqrt[]{3} \end{gathered}\)Let's now find theta,;
\(\begin{gathered} \theta=\tan ^{-1}(\frac{-9}{3\sqrt[]{3}})=-\frac{\pi}{3} \\ \\ \end{gathered}\)If we go ahead and input the above values into our polar form equation, we'll have;
\(z_1=6\sqrt[]{3}\lbrack\cos (-\frac{\pi}{3})+i\sin (-\frac{\pi}{3})\rbrack\)a chord of a circle is the same length as the radius of the circle how far is the chord from the center of the circle
Answers
The distance from the chord to the center of the circle is equal to the length of one of these line segments, which is equal to the radius of the circle.
If the length of the chord of a circle is equal to the length of the radius of the circle, then the chord is exactly halfway between the center of the circle and the circumference. In other words, the distance from the chord to the center of the circle is equal to the radius of the circle. This is because a line that passes through the center of the circle and is perpendicular to the chord bisects the chord, creating two equal line segments, each of which has a length equal to the radius. Therefore, the distance from the chord to the center of the circle is equal to the length of one of these line segments, which is equal to the radius of the circle.
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what statement describes 6(x + 8
Answers
Answer:
6x+48
Step-by-step explanation:
u multiply what is in the bracket by 6
\(\huge\text{Hey there!}\)
\(\text{In order to solve for this particular equation, you have to DISTRIBUTE 6}\\\text{within the PARENTHESES}}\)
\(\text{REMEMBER: if you have a variable by itself, it is understood to be an invisible 1}\)
\(\text{Anywho! Let us answer your given question}\)
\(\mathsf{6(x + 8)}\)
\(\mathsf{= 6(x) + 6(8)}\)
\(\mathsf{= 6x + 48}\)
\(\huge\text{Therefore, your answer should be: }\)
\(\huge\boxed{\mathsf{6x + 48}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
52.35 for 15 gallons
Answers
Given g(x) = x2 + 1, find g(x – 2).
Answers
Answer:
g(x)-2g
Step-by-step explanation:
g x(x-2), gx-2g
Case Study - Planning Ahead
Precision Machining Corporation has been growing steadily over the past decade. Demand for the company's
products continues to rise, so management has decided to expand the production facility; $2,600,000 has been
set aside for this over the next four years.
Management has developed two different plans for expanding over the next four years: Plan A and Plan B. Plan
A would require equal amounts of $700,000, now, one year from now, two years from now, and four years from
now. Plan B would require $300,000 now, $730,000 one year from now, $900,000 two years from now, and
$975,000 four years from now.
The company has decided to fund the expansion with only the $2,600,000 and any interest it can earn on it.
Before deciding which plan to use, the company asks its treasurer to predict the rates of interest it can earn on
the $2,600,000. The treasurer expects that Precision Machining Corporation can invest the $2,600,000 and earn
interest at a rate of 4.5% p.a. compounded semi-annually during Year 1,5.0% p.a. compounded semi-annually
during Years 2 and 3, and 5.5% p.a. compounded semi-annually during Year 4. The company can withdraw part
of the money from this investment at any time without penalty.
Answers
Answer:
Plan A
Step-by-step explanation:
The attached spreadsheet shows the investment results for the two plans. (Amounts are in thousands.)
The "invested" column represents the amount that will be earning interest for the year beginning at the given time. The interest multiplier for the year is (1+r/2)^2, representing the growth factor for interest at rate r compounded semi-annually.
The "withdrawn" amount is taken out after the previous year's interest is credited.
Plan B cannot be funded using the given investment strategy. It falls short by about $22 thousand in year 4
The appropriate choice is Plan A.
Please help me in this math problem
Answers
Answer:
Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!
A bag of Idaho potatoes weighs 47 pounds. If the average potato weighs to pound, how many are in
bag? Show your work
Answers
WELP!!!! Can you please help me. THANK YOU
Answers
The value of angle m∠F is 42°.
What are the Exterior angle properties of triangle?
If in a triangle any side is extended, the outside angle or exterior angle formed results is equal to the sum of the two opposite internal angles.
Here we are given a triangle ΔGHF
m∠F = ∠HFG = 4x + 6
∠G = ∠FGH = 70°
and exterior angle ∠GHJ = -5 + 13x
Here side FH of ΔGFH is extended .
so by using exterior property of triangle i.e,
Exterior angle = sum of opposite interior angles.
∠GHJ =∠FGH + ∠GFH
-5 + 13x = 70 + (4x + 6)
13x - 4x = 70 + 6 + 5
9x = 81
x = 81/9
x = 9.
Therefore m∠F = ∠GFH = (4x+6)
m∠F = 4×9+6
m∠F = 42°
So we got the value of angle m∠F is 42°.
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pls help me this is due tonight by 8 40
Answers
Answer:
a. gh³
b. xy³
Step-by-step explanation:
a. \(g^{3-2}\)\(h^{5-2}\) = gh³
b. \(x^{3-2} y^{4-1} p^{1-1}\) = xy³
Use the negative exponent rule.
At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?
Answers
I am not so sure
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answers
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
John's checkbook had a balance of $432.05 on June 10th On June 12th he wrote a check
for $123.87 at the grocery store. On June 16th, he wrote a check for $250.75 for his car
payment. Four days later, his mother sent him a check for $300.00 and he deposited this
in his account.
What is the balance of John's account after this deposit?
A $57.43
B. $187.00
C. $308.18
D. $357.43
Answers
Answer:
John's currenct account balance after the deposit is $357.43.
Step-by-step explanation:
Current balance: $432.05
-$123.87
Current balance: $308.18
-$250.75
Current balance: $57.43
+$300.00
Current balance: $357.43
The winner of a 50 mile race drove his car to victory at a rate of 112.9094 mph. What was his time (to the nearest thousandth of an hour)?
His time was
hours.
(Round to the nearest thousandth.)
Answers
Answer:
0.443 hours
Step-by-step explanation:
time = total distance / mph
time = 50 / 112.9094
time ≈ 0.443 hours
Answer:
0.443 hours
Explanation:
Given following:
speed: 112.9094 mphdistance: 50 milesFormula:
\(\sf time \ taken = \dfrac{distance}{speed}\)
Substitute values to find time taken:
\(\sf \rightarrow time = \dfrac{50}{112.9094 }\)
evaluate
\(\sf \rightarrow time = 0.4428329262\)
rounded to nearest thousandth
\(\sf \rightarrow time = 0.443\)
Directions Write Each Equation In Slope-Intercept Form Then Graph The Problem Is X+5y=-15
Answers
Answer:
y = -x/5 - 3
Step-by-step explanation:
Slope intercept form: y = mx + b
x + 5y = -15
5y = -15 - x
y = -15/5 -x/5
y = -x/5 - 3
BRAINLIEST please if this helped!Clarence Hartford is 80 years old and is a widower. His wife passed away in 2012, and he never remarried. Clarence lives alone and has no dependents. In 2022, his standard deduction will be:
Answers
Because tax rules and regulations can change annually, it's essential to keep in mind that this response might not be appropriate for subsequent tax years.
what is standard deviation ?The standard deviation is a measurement of how far away from the mean or average value a collection of data is. It is a statistical measure that aids in our comprehension of the degree of variance or dispersion in a dataset. We can use the following formula to determine a collection of data's standard deviation: xi - yi = sqrt [xi - yi)2 / N]
where: The standard variation is denotes the total of each unique data point in the dataset, where xi represents the dataset's norm. The dataset's total amount of data points is N. The average distance between each data point and the dataset's mean is calculated using the algorithm, and the square root of this average is used to determine the standard deviation.
given
For the tax year 2022, the standard exemption for a taxpayer who chooses the Single filing status is $12,950.
Clarence would probably use the Single filing separately for his 2022 tax return because he is a widower and resides alone. His statutory deduction would therefore be $12,950 for the 2022 tax year.
Because tax rules and regulations can change annually, it's essential to keep in mind that this response might not be appropriate for subsequent tax years.
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