Prime numbers after 167, 118, 82, 57, 41, are:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2
Prime numbers are numbers that only have two factors, 1, and themselves.
Apart from these factors, no number can divide them without a remainder.
By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.
This means that the prime number to be chosen will be lesser than 41
Prime numbers lesser than 41 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
Learn more on prime numbers here: https://brainly.com/question/145452
99 points
solve the system of equations by graphing
k12 test interim checkpoint 4
Answer:
Step-by-step explanation:
f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3
Which table of ordered pairs represents a proportional relationship?
Answer:
C)
Step-by-step explanation:
Because Its equivalent
Monica says,"if 4 bottles cost $10, then 2 bottles cost $5 + $20." Is Monica correct? Explain
6 grade shiiii, help me out doe, thanks luvs <33.
Answer:
Monica is not correct.
Step-by-step explanation:
First of all, if 4 bottles only cost $4, then how would only 2 cost more? (She said the two bottles would be $25, which doesn’t make sense.)
After a discount of 25%, the sale price of a game system is $149.25. what is the original price?
Answer:111.94
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
25% = 25/100 = 25 ÷ 100 = 0.25.
100% = 100/100 = 100 ÷ 100 = 1.
New value =
149.25 - Percentage decrease =
149.25 - (25% × 149.25) =
149.25 - 25% × 149.25 =
(1 - 25%) × 149.25 =
(100% - 25%) × 149.25 =
75% × 149.25 =
75 ÷ 100 × 149.25 =
75 × 149.25 ÷ 100 =
11,193.75 ÷ 100 =
111.9375 ≈
111.94
What expressions is equivalent to -19.2 - (-3.8)
Answer:
-19.2
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)
Answer:
5 is our hypotenuse
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
c is our hypotenuse
[tex]3^{2} + 4^{2} = c^2[/tex]
[tex]9 + 16 = 25[/tex]
[tex]25 = c^{2}[/tex]
c = 5
5 is our hypotenuse
Answer:
x = 5
Step-by-step explanation:
[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]
Someone help?
Find the problem:
-5x - 16 = 8x - 1
Fix the problem:
?
[tex]-5x -16 = 8x -1\\\\\implies 8x +5x = -16 +1 \\\\\implies 13x = -15\\\\\implies x = -\dfrac{15}{13}[/tex]
Can someone solve this question ~
[tex]\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}[/tex]
[tex]\boxed{\boxed{Step \: by \: step \: explanation \: required~}}\ [/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x^2-9}{x^2+2x-3}[/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{(x+3)(x-3)}{x^2+3x-x-3}[/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{\cancel{(x+3)}(x-3)}{\cancel{(x+3)}(x-1)}[/tex]
[tex]\\ \sf{:}\Rrightarrow {\displaystyle{\lim_{x\to -3}}}\dfrac{x-3}{x-1}[/tex]
Apply limits[tex]\\ \sf{:}\Rrightarrow \dfrac{-3-3}{-3-1}[/tex]
[tex]\\ \sf{:}\Rrightarrow \dfrac{-6}{-4}[/tex]
[tex]\\ \sf{:}\Rrightarrow \dfrac{3}{2}[/tex]
Hope you could understand.
If you have any query, feel free to ask.
The length of the diagonal of quadrilateral is 48m. The lengths of the Perpendiculars drawn on it from the opposite corners are 15m and 19m.Find its area.
SOMEONE PLEASE HELP ME!!
Answer:
should be 3
Step-by-step explanation:
hope you get a good grade
The directions for Clean-All to mix 1 3/8 cups of cleaner with 2 2/5 cups water. Write a COMMON RATIO as
CLEANER to WATER
Answer:
Step-by-step explanation:
The Mega Clean mixture with 3 1/2 per gallon has more cleaner in it. The first mixture has .75 oz per quart. The second mixture has .875 oz per qt.
HOPE THAT HELP YOU
Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards
Answer:
5/9 yards
Step-by-step explanation:
[tex] \frac{5}{3} \div \frac{3}{1} \\ = \frac{5}{3} \times \frac{1}{3} \\ = \frac{5}{9} [/tex]
Combine the like terms to create an equivalent expression -2x-x+8
Answer:
x+6
x+6
x+6 is the right ans
Which equation shows the inverse property of multiplication?
4 + (-4) = 0
-8 + (-3) = -3 + (-8)
2 times one-half = 1
Pleasee help with this question
Answer:
(2 x^2 z^13)/(z^8 y^5)
Hope This Helps!!!
Answer:
2xz⁵/y⁴
Step-by-step explanation:
16/8 = 2
x²/x = x
y/y⁵ = y⁻⁴
z¹³/z⁸ = z⁵
Holly and Jimmy went shopping. For every $2
that Holly spent, Jimmy spent $5. If together
they spent $35, how much did Jimmy spend?
if you want it a a whole number, it would be for every 34$ 85 bucks for jimmy .
what is 1/4 of 5/6???
you search the LCD then you subtracted the top and left the bottom the same
Step-by-step explanation:
im not sure
Question : Explore criteria of congruency of triangles using a set of triangle cut outs
Answer:
Explore Various Criteria for Congruence TrianglesSASASAAASSSSRHSFactor
3x2- 2x - 5
*(3xpower of 2 -2x-5)**
Answer:
16
Step-by-step explanation:
3×2-2×-5=
6-(-10)=
6+10=
16
how to write into fractional expanded form 65.43
Answer:
6543/100
Step-by-step explanation:
Multiply both numerator and denominator by 10 for every number after the decimal point
65.43 × 100
1 × 100
=
6543
100
A dump truck is filled with 82.16 pounds of gravel. It drops off 77.29 pounds of gravel at a construction site. How much gravel is left on the truck?
Answer:
4.87lbs
Step-by-step explanation:
82.16-77.29=4.87
6x + 3 > 26
How do I solve the math problem above
Answer:
x > 23/6
Step-by-step explanation:
Solve this one the same way you would a 2-step linear equation.
6x +3 > 26 . . . . . given
6x > 23 . . . . . . . . subtract the unwanted constant from both sides (step 1)
x > 23/6 . . . . . . . .divide both sides by the coefficient of x (step 2)
__
Additional comment
If the coefficient of the variable in a 2-step linear inequality is negative, then the inequality symbol must be reversed when dividing by that negative number.
HELP PLSSSS ILL GIVE 5 STARS JUST ANSWER
Answer:
-1 (color bow red)
Step-by-step explanation:
first plug x=7
-12/2(7) - 2
-12/14-2
-12/12
-1
Find the slope of the line.
Ay
6
-2, 4)
(
4
2
(2, 2)
-4
-2
2
4
Х
-2
4
The slope is
Answer:
-1/2 is the slope of the graph.
Among 2165 passenger cars in a particular region, 235 had only rear license plates. Among 330 commercial trucks, 50 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.10 significance level. Identify the P-value. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate Group of answer choices
Using the z-distribution, it is found that the p-value is of 0.0192.
At the null hypothesis, it is tested if commercial trucks owners do not violate laws requiring front license plates at a higher rate than owners of passenger cars, that is, the subtraction is of at most 0, hence:
[tex]H_0: p_2 - p_1 \leq 0[/tex]
At the alternative hypothesis, it is tested if commercial truck owners violate the laws more, that is, the subtraction is positive, hence:
[tex]H_1: p_2 - p_1 > 0[/tex]
For each sample, the size, the proportion and the standard error are given by:
[tex]n_1 = 2165, p_1 = \frac{235}{2165} = 0.1085, s_1 = \sqrt{\frac{0.1085(0.8915)}{2165}} = 0.0067[/tex]
[tex]n_2 = 330, p_1 = \frac{50}{330} = 0.1515, s_1 = \sqrt{\frac{0.1515(0.8485)}{330}} = 0.0197[/tex]
For the distribution of differences, the mean and the standard error are given by:
[tex]\overline{p} = p_2 - p_1 = 0.1515 - 0.1085 = 0.043[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0067^2 + 0.0197^2} = 0.0208[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.043 - 0}{0.0208}[/tex]
[tex]z = 2.07[/tex]
The p-value is found using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is more than a value, with z = 2.07.
Using the calculator, the p-value is of 0.0192.A similar problem is given at https://brainly.com/question/15545277
21.
2 poin
A student received the following grades last semester. Find the student's
semester grade point average.
Credits
Course
Statistics
Physics
Sociology
Literature
Tennis
Grade Points
A 4.0
A 4.0
B 3.0
B 3.0
D 10
1
Answer:
4.8
Step-by-step explanation:
add all values and divide it by 5
A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 500 bacteria that grow at a rate of 16% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours? Round your answer to the nearest whole number.
The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
Find out more at: https://brainly.com/question/12490064
What is the value of X?
the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.
[tex]\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}[/tex]
put the following unit fractions in order from smallest to largest. 1/16 1/24 1/8 1/10 1/4 1/12 1/3 1/6 1/2
Answer:
1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2
Step-by-step explanation:
If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.
So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (5, 4) and (-7,-8).
Answer:
y= -x -3
Step-by-step explanation:
A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).
Let's find the slope of the line segment.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope of line segment
[tex] = \frac{4 - ( - 8)}{5 - ( - 7)} [/tex]
[tex] = \frac{4 + 8}{5 + 7} [/tex]
[tex] = \frac{12}{12} [/tex]
= 1
The product of the slopes of 2 perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
m(1)= -1
m= -1
y= -x +c
To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.
Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.
[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]
Midpoint of line segment
[tex] = ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )[/tex]
[tex] = ( \frac{ - 2}{2} , \frac{ - 4}{2} )[/tex]
= (-1, -2)
y= -x +c
When x= -1, y= -2,
-2= -(-1) +c
-2= 1 +c
c= -2 -1
c= -3
Thus, the equation of the perpendicular bisector is y= -x -3.